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120","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.NBT.A.1","listEnumeration":"1.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656797a5-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656797a5-d7cc-11e8-824f-0242ac160002","fullStatement":"Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.OA.A.1","listEnumeration":"1.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656799d1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656799d1-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize, identify, and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces; to include triangles, quadrilaterals, pentagons, hexagons, and cubes. (Sizes are compared directly or visually, not compared by measuring.)","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65679bf8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65679bf8-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.A.1","listEnumeration":"1.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65679e08-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65679e08-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.A.1","listEnumeration":"1.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567a01f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567a01f-d7cc-11e8-824f-0242ac160002","fullStatement":"Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.OA.A.1","listEnumeration":"1.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567a249-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567a249-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567a47a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567a47a-d7cc-11e8-824f-0242ac160002","fullStatement":"Tell and write time to the nearest minute and measure time intervals in minutes, using an analog and digital clock. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.A.1","listEnumeration":"1.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567a6d8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567a6d8-d7cc-11e8-824f-0242ac160002","fullStatement":"Use place value understanding to round whole numbers to the nearest 10 or 100.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.NBT.A.1","listEnumeration":"1.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567a8fa-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567a8fa-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts\r\n(example: 1 part out of 4 equal parts is the same as 1/4); understand a fraction a/b as the quantity formed by a\r\nparts of size 1/b. (example:3/4 is the same as 3 one-fourths (1/4, 1/4, 1/4).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.NF.A.1","listEnumeration":"1.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567ab70-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567ab70-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret products of whole numbers, e.g., interpret 5 \u00d7 7 as the total number of objects in 5 groups of 7 objects each. <em>For example, describe a context in which a total number of objects can be expressed as 5 \u00d7 7.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567ada0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567ada0-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567afc5-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567afc5-d7cc-11e8-824f-0242ac160002","fullStatement":"Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. <em>For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), \u2026</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567b208-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567b208-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that the 7 in 700 is 10 times greater than the 7 in 70 because 700 \u00f7 70 =10 and 70 x 10=700.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NBT.A.1","listEnumeration":"1.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567b432-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567b432-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain why a fraction a/b is equivalent to a fraction (n \u00d7 a)/(n \u00d7 b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.A.1","listEnumeration":"1.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567b65c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567b65c-d7cc-11e8-824f-0242ac160002","fullStatement":"Use and interpret multiplicative equations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.OA.A.1","listEnumeration":"1.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567b96e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567b96e-d7cc-11e8-824f-0242ac160002","fullStatement":"Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567bbb7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567bbb7-d7cc-11e8-824f-0242ac160002","fullStatement":"Convert customary and metric measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m). Use these conversions in solving multi-step, real world problems involving distances, intervals of time, liquid volumes, masses of objects, and money (including problems involving simple fractions or decimals). For example, 3.6 liters and 4.1 liters can be combined as 7.7 liters or 7700 milliliters.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.MD.A.1","listEnumeration":"1.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567bde2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567bde2-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NBT.A.1","listEnumeration":"1.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567c05b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567c05b-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference with a like denominator. It is not necessary at this grade level to simplify the sum or difference. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NF.A.1","listEnumeration":"1.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567c294-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567c294-d7cc-11e8-824f-0242ac160002","fullStatement":"Use and explain parentheses, in numerical expressions, and evaluate expressions with these symbols.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.OA.A.1","listEnumeration":"1.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567c4b7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567c4b7-d7cc-11e8-824f-0242ac160002","fullStatement":"Write and evaluate numerical expressions involving whole-number exponents (e.g. parentheses, brackets, or braces).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.A.1","listEnumeration":"1.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567c6e6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567c6e6-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567c91a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567c91a-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. <em>For example, create a story context for (2/3) \u00f7 (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) \u00f7 (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) \u00f7 (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567cb59-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567cb59-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. <em>For example, \"The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.\" \"For every vote candidate A received, candidate C received nearly three votes.\"</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.RP.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567cd97-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567cd97-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. <em>For example, \"How old am I?\" is not a statistical question, but \"How old are the students in my school?\" is a statistical question because one anticipates variability in students' ages.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.SP.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567d02e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567d02e-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients to include multiple grouping symbols (parentheses, brackets, and/or braces).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.EE.A.1","listEnumeration":"1.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567d3be-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567d3be-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567d6ad-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567d6ad-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.NS.A.1","listEnumeration":"1.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567da0b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567da0b-d7cc-11e8-824f-0242ac160002","fullStatement":"Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. <em>For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction <sup>1/2</sup>/<sub>1/4</sub> miles per hour, equivalently 2 miles per hour.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.RP.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567de2f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567de2f-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.A.1","listEnumeration":"1.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567e341-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567e341-d7cc-11e8-824f-0242ac160002","fullStatement":"Know and apply the properties of integer exponents to generate equivalent numerical expressions. <em>For example, 3\u00b2 \u00d7 3<sup>-5</sup> = 3<sup>-3</sup> = 1/3\u00b3 = 1/27.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.A.1","listEnumeration":"1.","notes":"","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567e663-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567e663-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.F.A.1","listEnumeration":"1.","notes":"Function notation is not required in Grade 8.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567e904-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567e904-d7cc-11e8-824f-0242ac160002","fullStatement":"Verify experimentally the properties of rotations, reflections, and translations:","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567eb4d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567eb4d-d7cc-11e8-824f-0242ac160002","fullStatement":"Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats or terminates. Convert a decimal expansion which repeats or terminates into a rational number.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.NS.A.1","listEnumeration":"1.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567ede9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567ede9-d7cc-11e8-824f-0242ac160002","fullStatement":"Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.SP.A.1","listEnumeration":"1.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567f025-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567f025-d7cc-11e8-824f-0242ac160002","fullStatement":"Count to 100 by ones and by tens.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.A.1","listEnumeration":"1.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567f26c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567f26c-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.G.A.1","listEnumeration":"1.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567f4af-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567f4af-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe measurable attributes of a single object or objects, such as length, weight, or size.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.MD.A.1","listEnumeration":"1.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567f6e4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567f6e4-d7cc-11e8-824f-0242ac160002","fullStatement":"Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.NBT.A.1","listEnumeration":"1.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567f987-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567f987-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.OA.A.1","listEnumeration":"1.","notes":"Drawings need not show details, but should show the mathematics in the problem (This applies wherever drawings are mentioned in the Standards.)","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567fbc4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567fbc4-d7cc-11e8-824f-0242ac160002","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP1","listEnumeration":"1.","notes":"Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, \"Does this make sense?\" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08","09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6567fe0a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6567fe0a-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.D.10","listEnumeration":"10.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65680044-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65680044-d7cc-11e8-824f-0242ac160002","fullStatement":"Standards for Math Content","listEnumeration":"12","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65680271-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65680271-d7cc-11e8-824f-0242ac160002","fullStatement":"Operations & Algebraic 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Understand the following as special cases:","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.NBT.B.2","listEnumeration":"2.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65685ca7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65685ca7-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.OA.A.2","listEnumeration":"2.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65685f21-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65685f21-d7cc-11e8-824f-0242ac160002","fullStatement":"Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.G.A.2","listEnumeration":"2.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65686215-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65686215-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.A.2","listEnumeration":"2.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65686493-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65686493-d7cc-11e8-824f-0242ac160002","fullStatement":"Count within 1000; skip-count by 5s, 10s, and 100s, starting from any number in its skip counting sequence.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.A.2","listEnumeration":"2.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656866fd-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656866fd-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract within 20.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.OA.B.2","listEnumeration":"2.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656869b9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656869b9-d7cc-11e8-824f-0242ac160002","fullStatement":"Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. <em>For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.G.A.2","listEnumeration":"2.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65686c3a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65686c3a-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.A.2","listEnumeration":"2.","notes":"Excludes multiplicative comparison problems (problems involving notions of \"times as much\";","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65686eba-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65686eba-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.NBT.A.2","listEnumeration":"2.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65687134-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65687134-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand a fraction as a number on the number line; represent fractions on a number line diagram.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.NF.A.2","listEnumeration":"2.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656873ab-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656873ab-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret whole-number quotients of whole numbers, e.g., interpret 56 \u00f7 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. <em>For example, describe a context in which a number of shares or a number of groups can be expressed as 56 \u00f7 8.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.A.2","listEnumeration":"2.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65687635-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65687635-d7cc-11e8-824f-0242ac160002","fullStatement":"Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize, and identify categories of right, acute, and obtuse triangles.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.G.A.2","listEnumeration":"2.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656878ad-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656878ad-d7cc-11e8-824f-0242ac160002","fullStatement":"Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.A.2","listEnumeration":"2.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65687b26-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65687b26-d7cc-11e8-824f-0242ac160002","fullStatement":"Read and write multi-digit whole numbers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NBT.A.2","listEnumeration":"2.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65687de9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65687de9-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two fractions with different numerators and different denominators, by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols < , > , = , and justify the conclusions.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.A.2","listEnumeration":"2.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65688077-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65688077-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem), and distinguish multiplicative comparison from additive comparison.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.OA.A.2","listEnumeration":"2.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656882f3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656882f3-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.G.A.2","listEnumeration":"2.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65688571-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65688571-d7cc-11e8-824f-0242ac160002","fullStatement":"Make a line plot to display a data set.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.MD.B.2","listEnumeration":"2.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656887e1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656887e1-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain and apply patterns in the number of zeros of the product when multiplying a number by powers of 10. Explain and apply patterns in the placement of the decimal point with respect to the values of the digits in the product or the quotient, when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NBT.A.2","listEnumeration":"2.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65688a62-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65688a62-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems involving addition and subtraction of fractions.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NF.A.2","listEnumeration":"2.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65688d31-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65688d31-d7cc-11e8-824f-0242ac160002","fullStatement":"Write simple expressions that record calculations with numbers to represent real world problems, and interpret numerical expressions without evaluating them.(For example, express the calculation \"add 8 and 7, then multiply by 2\" as 2 \u00d7 (8 + 7). Recognize that 3 \u00d7 (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.)","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.OA.A.2","listEnumeration":"2.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65688fb2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65688fb2-d7cc-11e8-824f-0242ac160002","fullStatement":"Write, read, and evaluate expressions in which letters stand for numbers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.A.2","listEnumeration":"2.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65689222-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65689222-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas *V = lwh* and *V = Bh* where B is the area of the base to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.G.A.2","listEnumeration":"2.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656894a3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656894a3-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently divide multi-digit numbers using an algorithm including but not limited to the standard algorithm.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.B.2","listEnumeration":"2.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568971a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568971a-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the concept of a unit rate a/b associated with a ratio a:b with b \u2260 0, and use rate language in the context of a ratio relationship. *For example, \"This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.\" \"We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.\"*","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.RP.A.2","listEnumeration":"2.","notes":"Expectations for unit rates in this grade are limited to non-complex fractions.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-12-06T19:15:43+00:00"},{"identifier":"65689985-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65689985-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.SP.A.2","listEnumeration":"2.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65689bf4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65689bf4-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the reason for rewriting an expression in different forms in contextual problems is to provide multiple ways of interpreting the problem, and how the quantities in it are related. For example, a + 0.05a=1.05a means that increase by 5% is the same as \"multiply by 1.05\".","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.EE.A.2","listEnumeration":"2.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65689e71-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65689e71-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw (freehand, with ruler and protractor/angle ruler, and/or with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.G.A.2","listEnumeration":"2.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568a0eb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568a0eb-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.NS.A.2","listEnumeration":"2.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568a3a1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568a3a1-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize and represent proportional relationships between quantities.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.RP.A.2","listEnumeration":"2.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568a61b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568a61b-d7cc-11e8-824f-0242ac160002","fullStatement":"Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. <em>For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.A.2","listEnumeration":"2.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568a89c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568a89c-d7cc-11e8-824f-0242ac160002","fullStatement":"Use square root and cube root symbols to represent solutions to equations of the form x\u00b2 = p and x\u00b3 = p, where p is a positive rational number. 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Locate irrational numbers approximately on a number line diagram, and estimate the value of expressions such as (\u03c0\u00b2). For example, by truncating the decimal expansion of \u221a2, show that \u221a2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.NS.A.2","listEnumeration":"2.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568b1d4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568b1d4-d7cc-11e8-824f-0242ac160002","fullStatement":"Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line (i.e. line of fit), and informally assess the model fit by judging the closeness of the data points to the line.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.SP.A.2","listEnumeration":"2.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568b415-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568b415-d7cc-11e8-824f-0242ac160002","fullStatement":"Count forward beginning from any given number within 100 (instead of having to begin at 1). Count backwards beginning from any given number within 20.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.A.2","listEnumeration":"2.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568b63a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568b63a-d7cc-11e8-824f-0242ac160002","fullStatement":"Correctly name shapes regardless of their orientations or overall size.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.G.A.2","listEnumeration":"2.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568b845-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568b845-d7cc-11e8-824f-0242ac160002","fullStatement":"Directly compare two objects with a measurable attribute in common, to see which object has \"more of\"/\"less of\" the attribute, and describe the difference. <em>For example, directly compare the heights of two children and describe one child as taller/shorter.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.MD.A.2","listEnumeration":"2.","notes":"","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568bacc-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568bacc-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve addition and subtraction word problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.OA.A.2","listEnumeration":"2.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568bcf2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568bcf2-d7cc-11e8-824f-0242ac160002","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP2","listEnumeration":"2.","notes":"Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize\u2014to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents\u2014and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08","09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568bf2b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568bf2b-d7cc-11e8-824f-0242ac160002","fullStatement":"Number & Operations in Base 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Data","CFItemType":"Domain","CFItemTypeURI":{"title":"Domain","identifier":"89d67580-f024-5f77-abd7-acfaef39b204","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/89d67580-f024-5f77-abd7-acfaef39b204"},"listEnumeration":"3","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568c598-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568c598-d7cc-11e8-824f-0242ac160002","fullStatement":"Measurement & Data","CFItemType":"Domain","CFItemTypeURI":{"title":"Domain","identifier":"89d67580-f024-5f77-abd7-acfaef39b204","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/89d67580-f024-5f77-abd7-acfaef39b204"},"listEnumeration":"3","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568c7b6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568c7b6-d7cc-11e8-824f-0242ac160002","fullStatement":"Number & Operations\u2014Fractions","CFItemType":"Domain","CFItemTypeURI":{"title":"Domain","identifier":"89d67580-f024-5f77-abd7-acfaef39b204","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/89d67580-f024-5f77-abd7-acfaef39b204"},"listEnumeration":"3","notes":"Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568ca11-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568ca11-d7cc-11e8-824f-0242ac160002","fullStatement":"Number & Operations\u2014Fractions","CFItemType":"Domain","CFItemTypeURI":{"title":"Domain","identifier":"89d67580-f024-5f77-abd7-acfaef39b204","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/89d67580-f024-5f77-abd7-acfaef39b204"},"listEnumeration":"3","notes":"Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568cc45-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568cc45-d7cc-11e8-824f-0242ac160002","fullStatement":"Number & Operations\u2014Fractions","CFItemType":"Domain","CFItemTypeURI":{"title":"Domain","identifier":"89d67580-f024-5f77-abd7-acfaef39b204","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/89d67580-f024-5f77-abd7-acfaef39b204"},"listEnumeration":"3","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568ce68-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568ce68-d7cc-11e8-824f-0242ac160002","fullStatement":"Expressions & 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addition.","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"3.MD.C","listEnumeration":"3","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568dfd0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568dfd0-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply and divide within 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patterns.","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"4.OA.C","listEnumeration":"3","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568e62c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568e62c-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of numbers to the system of rational numbers.","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"6.NS.C","listEnumeration":"3","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6568e832-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6568e832-d7cc-11e8-824f-0242ac160002","fullStatement":"Investigate chance processes and develop, use, and evaluate probability 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(Students need not use formal terms for these properties.) Examples: If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known. (Commutative property of addition.) To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12. 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Solve one- and two-step \"how many more\" and \"how many less\" problems using information presented in scaled bar graphs. <em>For example, draw a bar graph in which each square in the bar graph might represent 5 pets.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.B.3","listEnumeration":"3.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65690122-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65690122-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply one-digit whole numbers by multiples of 10 in the range 10\u201490 (e.g., 9 \u00d7 80, 5 \u00d7 60) using strategies based on place value and properties of operations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.NBT.A.3","listEnumeration":"3.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569032d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569032d-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.NF.A.3","listEnumeration":"3.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656905a3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656905a3-d7cc-11e8-824f-0242ac160002","fullStatement":"Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.A.3","listEnumeration":"3.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656907c0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656907c0-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize and draw lines of symmetry for two-dimensional figures.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.G.A.3","listEnumeration":"3.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656909d3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656909d3-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply the area and perimeter formulas for rectangles in real world and mathematical problems. <em>For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.A.3","listEnumeration":"3.","notes":"","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65690bea-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65690bea-d7cc-11e8-824f-0242ac160002","fullStatement":"Use place value understanding to round multi-digit whole numbers to any place.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NBT.A.3","listEnumeration":"3.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65690dfd-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65690dfd-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand a fraction a/b with a > 1 as a sum of fractions 1/b. For example, 4/5 = 1/5 + 1/5 + 1/5 + 1/5.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.B.3","listEnumeration":"3.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569101d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569101d-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.OA.A.3","listEnumeration":"3.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65691238-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65691238-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. <em>For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.G.B.3","listEnumeration":"3.","notes":"","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569143d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569143d-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize volume as an attribute of solid figures and understand concepts of volume measurement.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.MD.C.3","listEnumeration":"3.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569169f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569169f-d7cc-11e8-824f-0242ac160002","fullStatement":"Read, write, and compare decimals to thousandths.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NBT.A.3","listEnumeration":"3.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656918ff-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656918ff-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret a fraction as division of the numerator by the denominator (a/b = a \u00f7 b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. <em>For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NF.B.3","listEnumeration":"3.","notes":"","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65691b31-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65691b31-d7cc-11e8-824f-0242ac160002","fullStatement":"Generate two numerical patterns using two given rules. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. Identify the relationship between the two patterns. For example, given the rule \"Add 3\" and the starting number 0, and given the rule \"Add 6\" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.OA.B.3","listEnumeration":"3.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65691d66-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65691d66-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply the properties of operations to generate equivalent expressions with an emphasis on the distributive property.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.A.3","listEnumeration":"3.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65691f89-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65691f89-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.G.A.3","listEnumeration":"3.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656921a2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656921a2-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add, subtract, multiply, and divide multi-digit decimals using an algorithm including but not limited to the standard algorithm for each operation.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.B.3","listEnumeration":"3.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656923b4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656923b4-d7cc-11e8-824f-0242ac160002","fullStatement":"Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.RP.A.3","listEnumeration":"3.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656925d8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656925d8-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize that a measure of center (mean and/or median) for a numerical data set summarizes all of its values with a single number, while a measure of variation (such as mean absolute deviation and/or range) summarizes data points' distances from the mean or each other.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.SP.A.3","listEnumeration":"3.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656927fd-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656927fd-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.EE.B.3","listEnumeration":"3.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65692a25-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65692a25-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.G.A.3","listEnumeration":"3.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65692c44-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65692c44-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems involving the four operations with rational numbers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.NS.A.3","listEnumeration":"3.","notes":"Computations with rational numbers extend the rules for manipulating fractions to complex fractions.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65692e6a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65692e6a-d7cc-11e8-824f-0242ac160002","fullStatement":"Use proportional relationships to solve multistep ratio and percent problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.RP.A.3","listEnumeration":"3.","notes":"Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65693160-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65693160-d7cc-11e8-824f-0242ac160002","fullStatement":"Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, using quantitative measures of center (focusing on mean and median) and variability (interquartile range, mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.B.3","listEnumeration":"3.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65693af4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65693af4-d7cc-11e8-824f-0242ac160002","fullStatement":"Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. <em>For example, estimate the population of the United States as 3 \u00d7 10<sup>8</sup> and the population of the world as 7 \u00d7 10<sup>9</sup>, and determine that the world population is more than 20 times larger.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.A.3","listEnumeration":"3.","notes":"","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65693db6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65693db6-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. <em>For example, the function A = s\u00b2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.F.A.3","listEnumeration":"3.","notes":"","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65694084-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65694084-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.A.3","listEnumeration":"3.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656942df-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656942df-d7cc-11e8-824f-0242ac160002","fullStatement":"Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and the y-intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.SP.A.3","listEnumeration":"3.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569452a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569452a-d7cc-11e8-824f-0242ac160002","fullStatement":"Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.A.3","listEnumeration":"3.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65694760-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65694760-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify shapes as two-dimensional (lying in a plane, \"flat\") or three-dimensional (\"solid\").","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.G.A.3","listEnumeration":"3.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656949ec-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656949ec-d7cc-11e8-824f-0242ac160002","fullStatement":"Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.MD.B.3","listEnumeration":"3.","notes":"Limit category counts to be less than or equal to 10.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65694c33-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65694c33-d7cc-11e8-824f-0242ac160002","fullStatement":"Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.OA.A.3","listEnumeration":"3.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65694ecc-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65694ecc-d7cc-11e8-824f-0242ac160002","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP3","listEnumeration":"3.","notes":"Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and\u2014if there is a flaw in an argument\u2014explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. 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Show the data by making a line plot, where the horizontal scale is marked off in appropriate units\u2014 whole numbers, halves, or quarters.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.B.4","listEnumeration":"4.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65697b2b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65697b2b-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine the unknown whole number in a multiplication or division equation relating three whole numbers. <em>For example, determine the unknown number that makes the equation true in each of the equations 8 \u00d7 ? = 48, 5 = _ \u00f7 3, 6 \u00d7 6 = ?.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.A.4","listEnumeration":"4.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65697d58-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65697d58-d7cc-11e8-824f-0242ac160002","fullStatement":"Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. <em>For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.B.4","listEnumeration":"4.","notes":"","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65697f8d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65697f8d-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add and subtract multi-digit whole numbers using an algorithm including, but not limited to, the standard algorithm.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NBT.B.4","listEnumeration":"4.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656981ca-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656981ca-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.B.4","listEnumeration":"4.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65698408-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65698408-d7cc-11e8-824f-0242ac160002","fullStatement":"Using whole number in the range 1\u2013100.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.OA.B.4","listEnumeration":"4.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65698640-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65698640-d7cc-11e8-824f-0242ac160002","fullStatement":"Classify two-dimensional figures in a hierarchy based on properties. *For example, all rectangles are parallelograms, because they are all quadrilaterals with two pairs of opposite, parallel, equal-length sides.*","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.G.B.4","listEnumeration":"4.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569887e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569887e-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.MD.C.4","listEnumeration":"4.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65698abf-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65698abf-d7cc-11e8-824f-0242ac160002","fullStatement":"Use place value understanding to round decimals to any place.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NBT.A.4","listEnumeration":"4.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65698d24-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65698d24-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NF.B.4","listEnumeration":"4.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65698f61-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65698f61-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). <em>For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.A.4","listEnumeration":"4.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656991aa-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656991aa-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.G.A.4","listEnumeration":"4.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656993f2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656993f2-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1\u2014100 with a common factor as a multiple of a sum of two whole numbers with no common factor. <em>For example, express 36 + 8 as 4 (9 + 2).</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.B.4","listEnumeration":"4.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65699649-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65699649-d7cc-11e8-824f-0242ac160002","fullStatement":"Display numerical data in plots on a number line, including dot plots, histograms, and box plots.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.SP.B.4","listEnumeration":"4.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65699889-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65699889-d7cc-11e8-824f-0242ac160002","fullStatement":"Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.EE.B.4","listEnumeration":"4.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65699acb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65699acb-d7cc-11e8-824f-0242ac160002","fullStatement":"Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.G.B.4","listEnumeration":"4.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65699d06-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65699d06-d7cc-11e8-824f-0242ac160002","fullStatement":"Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. <em>For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.B.4","listEnumeration":"4.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"65699f5b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/65699f5b-d7cc-11e8-824f-0242ac160002","fullStatement":"Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.A.4","listEnumeration":"4.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569a1a8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569a1a8-d7cc-11e8-824f-0242ac160002","fullStatement":"Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.F.B.4","listEnumeration":"4.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569a3f9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569a3f9-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.A.4","listEnumeration":"4.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569a645-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569a645-d7cc-11e8-824f-0242ac160002","fullStatement":"Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.SP.A.4","listEnumeration":"4.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569a8a0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569a8a0-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the relationship between numbers and quantities; connect counting to cardinality.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.B.4","listEnumeration":"4.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569aadb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569aadb-d7cc-11e8-824f-0242ac160002","fullStatement":"Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (e.g., number of sides and vertices/\"corners\") and other attributes (e.g., having sides of equal length).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.G.B.4","listEnumeration":"4.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569ad72-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569ad72-d7cc-11e8-824f-0242ac160002","fullStatement":"For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.OA.A.4","listEnumeration":"4.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569afca-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569afca-d7cc-11e8-824f-0242ac160002","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP4","listEnumeration":"4.","notes":"Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. 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explain the reasoning used.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.NBT.C.5","listEnumeration":"5.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569c76d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569c76d-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand counting on as addition and counting back as subtraction e.g. 5, (6,7,8) means 5 + 3 and 5, (4,3,2) means 5-3.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.OA.C.5","listEnumeration":"5.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569cbe3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569cbe3-d7cc-11e8-824f-0242ac160002","fullStatement":"Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.B.5","listEnumeration":"5.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569ce4b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569ce4b-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.B.5","listEnumeration":"5.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569d0aa-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569d0aa-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize area as an attribute of plane figures and understand concepts of area measurement.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.C.5","listEnumeration":"5.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569d2fa-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569d2fa-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply properties of operations as strategies to multiply and divide.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.B.5","listEnumeration":"5.","notes":"Students need not use formal terms for these properties.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569d59f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569d59f-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.C.5","listEnumeration":"5.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569d809-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569d809-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NBT.B.5","listEnumeration":"5.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569db02-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569db02-d7cc-11e8-824f-0242ac160002","fullStatement":"Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.C.5","listEnumeration":"5.","notes":"Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. 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Use substitution to determine whether a given number in a specified set makes an equation or inequality true.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.B.5","listEnumeration":"5.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569eab9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569eab9-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.C.5","listEnumeration":"5.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569ed26-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569ed26-d7cc-11e8-824f-0242ac160002","fullStatement":"Summarize numerical data sets in relation to their context, such as by:","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.SP.B.5","listEnumeration":"5.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569ef80-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569ef80-d7cc-11e8-824f-0242ac160002","fullStatement":"Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.G.B.5","listEnumeration":"5.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569f1e0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569f1e0-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.C.5","listEnumeration":"5.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569f440-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569f440-d7cc-11e8-824f-0242ac160002","fullStatement":"Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. <em>For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.B.5","listEnumeration":"5.","notes":"","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569f6a3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569f6a3-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.F.B.5","listEnumeration":"5.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569f8f8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569f8f8-d7cc-11e8-824f-0242ac160002","fullStatement":"Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. <em>For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.A.5","listEnumeration":"5.","notes":"","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569fb56-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569fb56-d7cc-11e8-824f-0242ac160002","fullStatement":"Count to answer \"how many?\"","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.B.5","listEnumeration":"5.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"6569fdbb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/6569fdbb-d7cc-11e8-824f-0242ac160002","fullStatement":"Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.G.B.5","listEnumeration":"5.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a001d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a001d-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add and subtract within 5. (See strategies chart on page 9.)","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.OA.A.5","listEnumeration":"5.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a0372-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a0372-d7cc-11e8-824f-0242ac160002","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP5","listEnumeration":"5.","notes":"Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08","09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a05ec-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a05ec-d7cc-11e8-824f-0242ac160002","fullStatement":"Grade 5","CFItemType":"Grade Level","CFItemTypeURI":{"title":"Grade Level","identifier":"8047d85d-6c8e-5231-bd6d-050731684413","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/8047d85d-6c8e-5231-bd6d-050731684413"},"listEnumeration":"6","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a0884-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a0884-d7cc-11e8-824f-0242ac160002","fullStatement":"Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.NBT.C.6","listEnumeration":"6.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a0d93-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a0d93-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 \u2013 4 = 13 \u2013 3 \u2013 1 = 10 \u2013 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 \u2013 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.OA.C.6","listEnumeration":"6.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a1152-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a1152-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, \u2026, and represent whole-number sums and differences within 100 on a number line diagram.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.B.6","listEnumeration":"6.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a15b0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a15b0-d7cc-11e8-824f-0242ac160002","fullStatement":"Add up to four two-digit numbers using strategies based on place value and properties of operations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.B.6","listEnumeration":"6.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a1ae8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a1ae8-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.C.6","listEnumeration":"6.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a1e53-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a1e53-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand division as an unknown-factor problem. <em>For example, find 32 \u00f7 8 by finding the number that makes 32 when multiplied by 8.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.B.6","listEnumeration":"6.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a2121-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a2121-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.C.6","listEnumeration":"6.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a23b3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a23b3-d7cc-11e8-824f-0242ac160002","fullStatement":"Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NBT.B.6","listEnumeration":"6.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a2640-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a2640-d7cc-11e8-824f-0242ac160002","fullStatement":"Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number  line.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.C.6","listEnumeration":"6.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a2982-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a2982-d7cc-11e8-824f-0242ac160002","fullStatement":"Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Explain the calculation by using equations, rectangular arrays, illustrations, area models, or other representations based on place value.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NBT.B.6","listEnumeration":"6.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a2c52-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a2c52-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NF.B.6","listEnumeration":"6.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a2f09-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a2f09-d7cc-11e8-824f-0242ac160002","fullStatement":"Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.B.6","listEnumeration":"6.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a31be-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a31be-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.C.6","listEnumeration":"6.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a3478-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a3478-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.G.B.6","listEnumeration":"6.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a371f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a371f-d7cc-11e8-824f-0242ac160002","fullStatement":"Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. <em>For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.C.6","listEnumeration":"6.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a39d4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a39d4-d7cc-11e8-824f-0242ac160002","fullStatement":"Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.B.6","listEnumeration":"6.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a3c92-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a3c92-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain a proof of the Pythagorean Theorem and its converse.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.B.6","listEnumeration":"6.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a3f4e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a3f4e-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group. Include groups with up to ten objects.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.C.6","listEnumeration":"6.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a423e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a423e-d7cc-11e8-824f-0242ac160002","fullStatement":"Compose simple shapes to form larger shapes. <em>For example, \"Can you join these two triangles with full sides touching to make a rectangle?\"</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.G.B.6","listEnumeration":"6.","notes":"","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a4542-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a4542-d7cc-11e8-824f-0242ac160002","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP6","listEnumeration":"6.","notes":"Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08","09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a49e1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a49e1-d7cc-11e8-824f-0242ac160002","fullStatement":"Grade 6","CFItemType":"Grade Level","CFItemTypeURI":{"title":"Grade Level","identifier":"8047d85d-6c8e-5231-bd6d-050731684413","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/8047d85d-6c8e-5231-bd6d-050731684413"},"listEnumeration":"7","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a4d3e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a4d3e-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false. <em>For example, which of the following equations are true and which are false? 6 = 6, 7 = 8 - 1, 5 + 2 = 2 + 5, 4 + 1 = 5 + 2.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.OA.D.7","listEnumeration":"7.","notes":"","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a503e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a503e-d7cc-11e8-824f-0242ac160002","fullStatement":"Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.C.7","listEnumeration":"7.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a530b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a530b-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.B.7","listEnumeration":"7.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a559a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a559a-d7cc-11e8-824f-0242ac160002","fullStatement":"Relate area to the operations of multiplication and addition.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.C.7","listEnumeration":"7.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a57f5-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a57f5-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply and divide within 100.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.C.7","listEnumeration":"7.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a5a4b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a5a4b-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.MD.C.7","listEnumeration":"7.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a5cb2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a5cb2-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols > , < , or = , and justify the conclusions.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"4.NF.C.7","listEnumeration":"7.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a5f1c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a5f1c-d7cc-11e8-824f-0242ac160002","fullStatement":"Use the four operations with decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; justify the reasoning used with a written explanation.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NBT.B.7","listEnumeration":"7.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a622f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a622f-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"5.NF.B.7","listEnumeration":"7.","notes":"Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a657a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a657a-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.B.7","listEnumeration":"7.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a6952-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a6952-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand ordering and absolute value of rational numbers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.C.7","listEnumeration":"7.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a6d0a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a6d0a-d7cc-11e8-824f-0242ac160002","fullStatement":"Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.C.7","listEnumeration":"7.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a70bc-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a70bc-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve linear equations in one variable.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.C.7","listEnumeration":"7.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a746a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a746a-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.B.7","listEnumeration":"7.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a78ff-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a78ff-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two numbers between 1 and 10 presented as written numerals.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"K.CC.C.7","listEnumeration":"7.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a7cfb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a7cfb-d7cc-11e8-824f-0242ac160002","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP7","listEnumeration":"7.","notes":"Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. Later, students will see 7 \u00d7 8 equals the well remembered 7 \u00d7 5 + 7 \u00d7 3, in preparation for learning about the distributive property. In the expression x\u00b2 + 9x + 14, older students can see the 14 as 2 \u00d7 7 and the 9 as 2 + 7. They recognize the significance of an existing line in a geometric figure and can use the strategy of drawing an auxiliary line for solving problems. They also can step back for an overview and shift perspective. They can see complicated things, such as some algebraic expressions, as single objects or as being composed of several objects. For example, they can see 5 \u2013 3(x \u2013 y)\u00b2 as 5 minus a positive number times a square and use that to realize that its value cannot be more than 5 for any real numbers x and y.","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08","09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a7fff-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a7fff-d7cc-11e8-824f-0242ac160002","fullStatement":"Grade 7","CFItemType":"Grade Level","CFItemTypeURI":{"title":"Grade Level","identifier":"8047d85d-6c8e-5231-bd6d-050731684413","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/8047d85d-6c8e-5231-bd6d-050731684413"},"listEnumeration":"8","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a8270-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a8270-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. <em>For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ - 3, 6 + 6 = _.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"1.OA.D.8","listEnumeration":"8.","notes":"","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a8536-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a8536-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify and count coins and bills and apply that understanding to solve word problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.C.8","listEnumeration":"8.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a87b6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a87b6-d7cc-11e8-824f-0242ac160002","fullStatement":"Mentally add 10 or 100 to a given number 100\u2014900, and mentally subtract 10 or 100 from a given number 100\u2014900.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.B.8","listEnumeration":"8.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a8a1f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a8a1f-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.MD.D.8","listEnumeration":"8.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a8c92-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a8c92-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.D.8","listEnumeration":"8.","notes":"This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a8f17-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a8f17-d7cc-11e8-824f-0242ac160002","fullStatement":"Write an inequality of the form x > c, x \u2265 c, x < c or x \u2264 c which represents a condition or constraint in a real-world or mathematical problem. Recognize that inequalities have infinitely many solutions; represent solutions of inequalities on number line diagrams.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.B.8","listEnumeration":"8.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a9181-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a9181-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.NS.C.8","listEnumeration":"8.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a93e6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a93e6-d7cc-11e8-824f-0242ac160002","fullStatement":"Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"7.SP.C.8","listEnumeration":"8.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a964c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a964c-d7cc-11e8-824f-0242ac160002","fullStatement":"Analyze and solve pairs of simultaneous linear equations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.EE.C.8","listEnumeration":"8.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a98be-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a98be-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.B.8","listEnumeration":"8.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a9b3c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a9b3c-d7cc-11e8-824f-0242ac160002","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"MP8","listEnumeration":"8.","notes":"Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts. Upper elementary students might notice when dividing 25 by 11 that they are repeating the same calculations over and over again, and conclude they have a repeating decimal. By paying attention to the calculation of slope as they repeatedly check whether points are on the line through (1, 2) with slope 3, middle school students might abstract the equation (y \u2013 2)/(x \u2013 1) = 3. Noticing the regularity in the way terms cancel when expanding (x \u2013 1)(x + 1), (x \u2013 1)(x\u00b2 + x + 1), and (x \u2013 1)(x\u00b3 + x\u00b2 + x + 1) might lead them to the general formula for the sum of a geometric series. As they work to solve a problem, mathematically proficient students maintain oversight of the process, while attending to the details. They continually evaluate the reasonableness of their intermediate results.","language":"en","educationLevel":["KG","01","02","03","04","05","06","07","08","09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656a9dbd-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656a9dbd-d7cc-11e8-824f-0242ac160002","fullStatement":"Grade 8","CFItemType":"Grade Level","CFItemTypeURI":{"title":"Grade Level","identifier":"8047d85d-6c8e-5231-bd6d-050731684413","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/8047d85d-6c8e-5231-bd6d-050731684413"},"listEnumeration":"9","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aa07d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aa07d-d7cc-11e8-824f-0242ac160002","fullStatement":"Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.MD.D.9","listEnumeration":"9.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aa4ec-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aa4ec-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain why addition and subtraction strategies work, using place value and the properties of operations. (Explanations may be supported by words, drawings or objects.)","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"2.NBT.B.9","listEnumeration":"9.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aa77e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aa77e-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. <em>For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"3.OA.D.9","listEnumeration":"9.","notes":"","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aa9fc-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aa9fc-d7cc-11e8-824f-0242ac160002","fullStatement":"Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. <em>For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.</em>","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"6.EE.C.9","listEnumeration":"9.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aac8a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aac8a-d7cc-11e8-824f-0242ac160002","fullStatement":"Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"88e14be5-f7f3-4e67-b4a2-d621eaa49d48","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/88e14be5-f7f3-4e67-b4a2-d621eaa49d48"},"humanCodingScheme":"8.G.C.9","listEnumeration":"9.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ab0a4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ab0a4-d7cc-11e8-824f-0242ac160002","fullStatement":"10 can be thought of as a bundle of ten ones \u2014 called a \"ten.\"","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.B.2.a","listEnumeration":"a.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ab323-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ab323-d7cc-11e8-824f-0242ac160002","fullStatement":"100 can be thought of as a bundle of ten tens \u2014 called a \"hundred.\"","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"2.NBT.A.1.a","listEnumeration":"a.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ab59b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ab59b-d7cc-11e8-824f-0242ac160002","fullStatement":"A square with side length 1 unit, called \"a unit square,\" is said to have \"one square unit\" of area, and can be used to measure area.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.MD.C.5.a","listEnumeration":"a.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ab813-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ab813-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.MD.C.7.a","listEnumeration":"a.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aba89-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aba89-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.NF.A.2.a","listEnumeration":"a.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656abd01-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656abd01-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.NF.A.3.a","listEnumeration":"a.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656abf7c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656abf7c-d7cc-11e8-824f-0242ac160002","fullStatement":"An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a \"one-degree angle,\" and can be used to measure angles.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.MD.C.5.a","listEnumeration":"a.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ac1fb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ac1fb-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract of fractions e.g., joining and separating parts referring to the same whole.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.3.a","listEnumeration":"a.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ac46f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ac46f-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand a fraction a/b as a multiple of 1/b. <em>For example, use a visual fraction model to represent 5/4 as the product 5 \u00d7 (1/4), recording the conclusion by the equation 5/4 = 5 \u00d7 (1/4).</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.4.a","listEnumeration":"a.","notes":"","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ac730-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ac730-d7cc-11e8-824f-0242ac160002","fullStatement":"A cube with side length 1 unit, called a \"unit cube,\" is said to have \"one cubic unit\" of volume, and can be used to measure volume.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.MD.C.3.a","listEnumeration":"a.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ac9be-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ac9be-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.MD.C.5.a","listEnumeration":"a.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656acc49-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656acc49-d7cc-11e8-824f-0242ac160002","fullStatement":"Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 \u00d7 100 + 4 \u00d7 10 + 7 \u00d7 1 + 3 \u00d7 (1/10) + 9 \u00d7 (1/100) + 2 \u00d7 (1/1000).","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NBT.A.3.a","listEnumeration":"a.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aced1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aced1-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret the product (a/b) \u00d7 q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a \u00d7 q \u00f7 b. <em>For example, use a visual fraction model to show (2/3) \u00d7 4 = 8/3, and create a story context for this equation. Do the same with (2/3) \u00d7 (4/5) = 8/15. (In general, (a/b) \u00d7 (c/d) = ac/bd.)</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.4.a","listEnumeration":"a.","notes":"","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ad172-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ad172-d7cc-11e8-824f-0242ac160002","fullStatement":"Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.5.a","listEnumeration":"a.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ad400-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ad400-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. <em>For example, create a story context for (1/3) \u00f7 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) \u00f7 4 = 1/12 because (1/12) \u00d7 4 = 1/3.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.7.a","listEnumeration":"a.","notes":"","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ad681-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ad681-d7cc-11e8-824f-0242ac160002","fullStatement":"Write expressions that record operations with numbers and with letters standing for numbers. <em>For example, express the calculation \"Subtract y from 5\" as 5 - y.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.EE.A.2.a","listEnumeration":"a.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ad950-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ad950-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.6.a","listEnumeration":"a.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656adbd9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656adbd9-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. <em>For example, interpret -3 > -7 as a statement that -3 is located to the right of -7 on a number line oriented from left to right.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.7.a","listEnumeration":"a.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ade5c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ade5c-d7cc-11e8-824f-0242ac160002","fullStatement":"Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.RP.A.3.a","listEnumeration":"a.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ae0e3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ae0e3-d7cc-11e8-824f-0242ac160002","fullStatement":"Reporting the number of observations.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.SP.B.5.a","listEnumeration":"a.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ae366-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ae366-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.EE.B.4.a","listEnumeration":"a.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ae5f4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ae5f4-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe situations in which opposite quantities combine to make 0. For example, if you get paid $5 for babysitting but you owe your friend $5, you have $0.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.1.a","listEnumeration":"a.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656ae87e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656ae87e-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.2.a","listEnumeration":"a.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aeb1e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aeb1e-d7cc-11e8-824f-0242ac160002","fullStatement":"Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.RP.A.2.a","listEnumeration":"a.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656aede0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656aede0-d7cc-11e8-824f-0242ac160002","fullStatement":"Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. <em>For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.SP.C.7.a","listEnumeration":"a.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656af073-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656af073-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.SP.C.8.a","listEnumeration":"a.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656af308-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656af308-d7cc-11e8-824f-0242ac160002","fullStatement":"Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.EE.C.7.a","listEnumeration":"a.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656af5a7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656af5a7-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.EE.C.8.a","listEnumeration":"a.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656af833-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656af833-d7cc-11e8-824f-0242ac160002","fullStatement":"Lines are mapped to lines, and line segments to line segments of the same length.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.G.A.1.a","listEnumeration":"a.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656afac1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656afac1-d7cc-11e8-824f-0242ac160002","fullStatement":"When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. (one-to-one correspondence).","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.CC.B.4.a","listEnumeration":"a.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656afd54-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656afd54-d7cc-11e8-824f-0242ac160002","fullStatement":"The numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.B.2.b","listEnumeration":"b.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656affef-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656affef-d7cc-11e8-824f-0242ac160002","fullStatement":"The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"2.NBT.A.1.b","listEnumeration":"b.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b02c9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b02c9-d7cc-11e8-824f-0242ac160002","fullStatement":"A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.MD.C.5.b","listEnumeration":"b.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b054d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b054d-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.MD.C.7.b","listEnumeration":"b.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b07d3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b07d3-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.NF.A.2.b","listEnumeration":"b.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b0a5e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b0a5e-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.NF.A.3.b","listEnumeration":"b.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b0cd7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b0cd7-d7cc-11e8-824f-0242ac160002","fullStatement":"An angle that turns through n one-degree angles is said to have an angle measure of n degrees.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.MD.C.5.b","listEnumeration":"b.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b0f55-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b0f55-d7cc-11e8-824f-0242ac160002","fullStatement":"Decompose a fraction into a sum of fractions with like denominators in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.3.b","listEnumeration":"b.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b11e7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b11e7-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b = (n x a) x 1/b.)","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.4.b","listEnumeration":"b.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b14ba-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b14ba-d7cc-11e8-824f-0242ac160002","fullStatement":"A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.MD.C.3.b","listEnumeration":"b.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b174f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b174f-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply the formulas V = l \u00d7 w \u00d7 h and V = B \u00d7 h (where B is the area of the base) for rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real world and mathematical problems.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.MD.C.5.c","listEnumeration":"b.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b19e7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b19e7-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NBT.A.3.b","listEnumeration":"b.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b1c7c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b1c7c-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.4.b","listEnumeration":"b.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b1f17-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b1f17-d7cc-11e8-824f-0242ac160002","fullStatement":"Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n\u00d7a)/(n\u00d7b) to the effect of multiplying a/b by 1.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.5.b","listEnumeration":"b.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b21b8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b21b8-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret division of a whole number by a unit fraction, and compute such quotients. <em>For example, create a story context for 4 \u00f7 (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 \u00f7 (1/5) = 20 because 20 \u00d7 (1/5) = 4.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.7.b","listEnumeration":"b.","notes":"","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b2453-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b2453-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. <em>For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.EE.A.2.b","listEnumeration":"b.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b26f0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b26f0-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.6.b","listEnumeration":"b.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b29a3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b29a3-d7cc-11e8-824f-0242ac160002","fullStatement":"Write, interpret, and explain statements of order for rational numbers in real-world contexts. <em>For example, write -3 \u00b0C > -7 \u00b0C to express the fact that -3 \u00b0C is warmer than -7 \u00b0C.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.7.b","listEnumeration":"b.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b2c3a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b2c3a-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve unit rate problems including those involving unit pricing and constant speed. <em>For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.RP.A.3.b","listEnumeration":"b.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b2ec4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b2ec4-d7cc-11e8-824f-0242ac160002","fullStatement":"Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.SP.B.5.b","listEnumeration":"b.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b31b2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b31b2-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems leading to inequalities of the form px + q > r, px + q \u2265 r, px + q < r, and px + q \u2264 r where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, as a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.EE.B.4.b","listEnumeration":"b.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b34c4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b34c4-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.1.b","listEnumeration":"b.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b3764-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b3764-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.2.b","listEnumeration":"b.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b3a08-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b3a08-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.RP.A.2.b","listEnumeration":"b.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b3ce7-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b3ce7-d7cc-11e8-824f-0242ac160002","fullStatement":"Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. <em>For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.SP.C.7.b","listEnumeration":"b.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b3faf-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b3faf-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., \"rolling double sixes\"), identify the outcomes in the sample space which compose the event.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.SP.C.8.b","listEnumeration":"b.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b4259-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b4259-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and combining like terms.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.EE.C.7.b","listEnumeration":"b.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b4504-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b4504-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For an inspection example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.EE.C.8.b","listEnumeration":"b.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b47b3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b47b3-d7cc-11e8-824f-0242ac160002","fullStatement":"Angles are mapped to angles of the same measure.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.G.A.1.b","listEnumeration":"b.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b4a50-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b4a50-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that the last number name said tells the number of objects counted. (cardinality) The number of objects is the same regardless of their arrangement or the order in which they were counted.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.CC.B.4.b","listEnumeration":"b.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b4cf1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b4cf1-d7cc-11e8-824f-0242ac160002","fullStatement":"The numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones).","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.B.2.c","listEnumeration":"c.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b4fec-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b4fec-d7cc-11e8-824f-0242ac160002","fullStatement":"Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a \u00d7 b and a \u00d7 c. Use area models to represent the distributive property in mathematical reasoning.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.MD.C.7.c","listEnumeration":"c.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b528c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b528c-d7cc-11e8-824f-0242ac160002","fullStatement":"Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.NF.A.3.c","listEnumeration":"c.","notes":"Example: express 3 in the form 3 = 3/1; recognize that 6/1 = 6.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b552f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b552f-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.3.c","listEnumeration":"c.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b57d2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b57d2-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. <em>For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.4.c","listEnumeration":"c.","notes":"","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b5a89-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b5a89-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.MD.C.5.d","listEnumeration":"c.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b5d2e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b5d2e-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. <em>For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.B.7.c","listEnumeration":"c.","notes":"","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b5fdd-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b5fdd-d7cc-11e8-824f-0242ac160002","fullStatement":"Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.EE.A.2.c","listEnumeration":"c.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b6362-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b6362-d7cc-11e8-824f-0242ac160002","fullStatement":"Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.6.c","listEnumeration":"c.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b661d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b661d-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. <em>For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.7.c","listEnumeration":"c.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b68be-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b68be-d7cc-11e8-824f-0242ac160002","fullStatement":"Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.RP.A.3.c","listEnumeration":"c.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b6b5f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b6b5f-d7cc-11e8-824f-0242ac160002","fullStatement":"Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.SP.B.5.c","listEnumeration":"c.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b6e14-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b6e14-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.1.c","listEnumeration":"c.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b70ca-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b70ca-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply properties of operations as strategies to multiply and divide rational numbers.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.2.c","listEnumeration":"c.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b7378-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b7378-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent proportional relationships by equations. <em>For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.RP.A.2.c","listEnumeration":"c.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b762f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b762f-d7cc-11e8-824f-0242ac160002","fullStatement":"Design and use a simulation to generate frequencies for compound events. <em>For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.SP.C.8.c","listEnumeration":"c.","notes":"","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b78e2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b78e2-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems involving leading to two linear equations in one and/or two variables.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.EE.C.8.c","listEnumeration":"c.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b7b94-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b7b94-d7cc-11e8-824f-0242ac160002","fullStatement":"Parallel lines are mapped to parallel lines.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"8.G.A.1.c","listEnumeration":"c.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b7e49-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b7e49-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that each successive number name refers to a quantity that is one larger.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.CC.B.4.c","listEnumeration":"c.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b8106-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b8106-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.MD.C.7.d","listEnumeration":"d.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b83c2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b83c2-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.NF.A.3.d","listEnumeration":"d.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b8689-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b8689-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NF.B.3.d","listEnumeration":"d.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b8978-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b8978-d7cc-11e8-824f-0242ac160002","fullStatement":"Distinguish comparisons of absolute value from statements about order. <em>For example, recognize that an account balance less than -30 dollars represents a debt greater than 30 dollars.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.NS.C.7.d","listEnumeration":"d.","notes":"","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b8c3e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b8c3e-d7cc-11e8-824f-0242ac160002","fullStatement":"Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.RP.A.3.d","listEnumeration":"d.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b8ef8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b8ef8-d7cc-11e8-824f-0242ac160002","fullStatement":"Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"6.SP.B.5.d","listEnumeration":"d.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b922e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b922e-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply properties of operations as strategies to add and subtract rational numbers.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.1.d","listEnumeration":"d.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b94ef-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b94ef-d7cc-11e8-824f-0242ac160002","fullStatement":"Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.NS.A.2.d","listEnumeration":"d.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"656b97b8-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/656b97b8-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"7.RP.A.2.d","listEnumeration":"d.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a27b2f4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27b2f4-d7cc-11e8-824f-0242ac160002","fullStatement":"When counting, answer questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or and as many as 10 things in a scattered configuration.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.CC.B.5.a","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27b5c2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27b5c2-d7cc-11e8-824f-0242ac160002","fullStatement":"Given a number(s) from 1\u201320, count out that many objects.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.CC.B.5.b","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27b90b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27b90b-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve addition and subtraction word problems (within 10), involving result unknown problems, put together/take apart total unknown, and put together/take apart addend unknown, e.g., using objects or drawings to represent the problem. (see appendix for K-2 Common Addition and Subtraction Situations).","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.OA.A.2.a","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27bb66-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27bb66-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract within 10, eg., by using objects or drawings to represent the problem.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"K.OA.A.2.b","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27bda4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27bda4-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify a penny and understand that the value is one. Count pennies within 20.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"2d745335-aa67-4729-a42a-5cffd08b6969","uri":"https://ky.satchelcommons.com/ims/case/v1p0/CFItemTypes/2d745335-aa67-4729-a42a-5cffd08b6969"},"humanCodingScheme":"K.MD.B.4","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2021-01-28T21:10:06+00:00"},{"identifier":"7a27c00a-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27c00a-d7cc-11e8-824f-0242ac160002","fullStatement":"Count on from any given number.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.A.1.a","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27c2a2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27c2a2-d7cc-11e8-824f-0242ac160002","fullStatement":"Read and write numerals.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.A.1.b","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27c68c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27c68c-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent a number of objects with a written numeral.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.A.1.c","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27c8ec-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27c8ec-d7cc-11e8-824f-0242ac160002","fullStatement":"Add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a multiple of 10, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.C.4.a","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27cc47-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27cc47-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that in adding two-digit numbers (sums within 100) add tens and tens, ones and ones; and\r\nsometimes it is necessary to compose a ten.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"1.NBT.C.4.b","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27cfa2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27cfa2-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify nickels and understand that five pennies can be thought of as a nickel. Identify dimes and understand ten pennies can be thought of as a dime. Count the value of a set of coins comprised of pennies, nickels, and dimes.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"2d745335-aa67-4729-a42a-5cffd08b6969","uri":"https://ky.satchelcommons.com/ims/case/v1p0/CFItemTypes/2d745335-aa67-4729-a42a-5cffd08b6969"},"humanCodingScheme":"1.MD.B.5","language":"en","educationLevel":["01"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27d241-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27d241-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add and subtract within 20 using mental strategies. (See standard 1.OA.6 for a list of mental strategies.)","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"2.OA.B.2.a","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27d401-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27d401-d7cc-11e8-824f-0242ac160002","fullStatement":"By end of Grade 2, know from memory all sums of two one-digit numbers.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"2.OA.B.2.b","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27d6d6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27d6d6-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize and know the value of coins up to one dollar.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"2.MD.C.8.a","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27d981-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27d981-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and \u00a2 symbols appropriately.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"2.MD.C.8.b","language":"en","educationLevel":["02"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27dbe1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27dbe1-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 \u00d7 5 = 40, one knows 40 \u00f7 5 = 8) or properties of operations.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.OA.C.7.a","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27ddae-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27ddae-d7cc-11e8-824f-0242ac160002","fullStatement":"Demonstrate fluency (skill in carrying out procedures flexibly, appropriately, efficiently, and accurately) for all products of two one-digit numbers.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"3.OA.C.7.b","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27e110-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27e110-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine the value of a collection of money using dollar sign and decimal point appropriately. Understand that the digits to the right of the decimal represent parts of a whole dollar.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"2d745335-aa67-4729-a42a-5cffd08b6969","uri":"https://ky.satchelcommons.com/ims/case/v1p0/CFItemTypes/2d745335-aa67-4729-a42a-5cffd08b6969"},"humanCodingScheme":"3.MD.D.9","language":"en","educationLevel":["03"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27e414-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27e414-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 \u00d7 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal or written statements of multiplicative comparisons as multiplication equations. Example: Tom has 7 toy cars; Joe has 5 times as many. How many toy cars does Joe have? Answer: 35, because 7 x 5 = 35 or 5 x 7 = 35.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.OA.A.1.a","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27e683-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27e683-d7cc-11e8-824f-0242ac160002","fullStatement":"Know from memory (quick effortless recall of facts) all products of two one-digit numbers.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.OA.A.1.b","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27ed37-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27ed37-d7cc-11e8-824f-0242ac160002","fullStatement":"Find all factor pairs for a given whole number.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.OA.B.4.a","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27ef07-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27ef07-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize that a whole number is a multiple of each of its factors.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.OA.B.4.b","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27f4ec-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27f4ec-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine whether a given whole number is a multiple of each of a given one-digit number.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.OA.B.4.c","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27f712-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27f712-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine whether a given whole number is prime or composite.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.OA.B.4.d","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27f996-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27f996-d7cc-11e8-824f-0242ac160002","fullStatement":"Read and write multi-digit whole numbers using base-ten numerals (standard form), number names (word form), and expanded form.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NBT.A.2.a","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27fd2e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27fd2e-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two multi-digit numbers based on values of the digits in each place, using < , > , and = symbols to record the results of comparisons.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"4.NBT.A.2.b","language":"en","educationLevel":["04"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a27ff55-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a27ff55-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract decimals.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NBT.B.7.a","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a28016f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28016f-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply and divide decimals.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NBT.B.7.b","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a280404-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a280404-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"5.NF.A.2.a","language":"en","educationLevel":["05"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a2805f2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2805f2-d7cc-11e8-824f-0242ac160002","fullStatement":"Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. 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Derive the quadratic formula from this form.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSA-REI.B.4.a","listEnumeration":"a.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a288e47-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a288e47-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve quadratic equations in one variable.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.B.4","listEnumeration":"4.","notes":"Standard shared between Algebra I and Algebra 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equations","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSA-REI.C","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a289393-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a289393-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the principles of the elimination method.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.C.5","listEnumeration":"5.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a289560-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a289560-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve systems of linear equations exactly and approximately by graphing, focusing on pairs of linear equations in two variables.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.C.6","listEnumeration":"6.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a289767-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a289767-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.C.7","listEnumeration":"7.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a289b09-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a289b09-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent and solve equations and inequalities graphically","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSA-REI.D","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a289d10-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a289d10-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.D.10","listEnumeration":"10.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a289f0f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a289f0f-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, including but not limited to using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, quadratic and exponential.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.D.11","listEnumeration":"11.","notes":"Standard shared between Algebra I and Algebra II.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28a10f-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28a10f-d7cc-11e8-824f-0242ac160002","fullStatement":"Graph a linear inequality (strict or inclusive) in two variables; graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSA-REI.D.12","listEnumeration":"12.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28a305-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28a305-d7cc-11e8-824f-0242ac160002","fullStatement":"Functions","CFItemType":"Conceptual Category","CFItemTypeURI":{"title":"Conceptual Category","identifier":"bb2b7874-ca3b-4a28-bdf9-4ab9b6bdaa3f","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/bb2b7874-ca3b-4a28-bdf9-4ab9b6bdaa3f"},"listEnumeration":"3","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28a5c3-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28a5c3-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that a function maps each element of the domain to exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. 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context.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-IF.C.8.a","listEnumeration":"a.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28c834-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28c834-d7cc-11e8-824f-0242ac160002","fullStatement":"Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-IF.C.8","listEnumeration":"8.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28cb14-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28cb14-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret expressions for exponential growth and decay.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-IF.C.8.b","listEnumeration":"b.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28cdee-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28cdee-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare properties of two functions (linear, quadratic and exponential) each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-IF.C.9","listEnumeration":"9.","notes":"Standard shared between Algebra I and Algebra II.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28d0d6-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28d0d6-d7cc-11e8-824f-0242ac160002","fullStatement":"Use function notation, evaluate functions, and interpret statements that use function notation in terms of a context.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-IF.A.2","listEnumeration":"2.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28d399-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28d399-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-IF.A.3","listEnumeration":"3.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28d62b-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28d62b-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine an explicit expression, a recursive process, or steps for calculation from a context.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-BF.A.1.a","listEnumeration":"a.","notes":"Modeling 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functions","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSF-BF.B","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28e3eb-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28e3eb-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify the effect on the graph of f(x) (linear, exponential, quadratic) replaced with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with contrasting cases and illustrate an explanation of the effects on the graph using technology.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-BF.B.3","listEnumeration":"3.","notes":"Standard shared between Algebra I and Algebra II.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28e621-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28e621-d7cc-11e8-824f-0242ac160002","fullStatement":"Write arithmetic and geometric sequences both recursively and with an explicit formula and use them to model 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model.</em>","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-BF.A.1.c","listEnumeration":"b.","notes":"Modeling standard.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a28ea75-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a28ea75-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine an explicit expression from a graph.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-BF.A.1.b","listEnumeration":"c.","notes":"Modeling 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Theorems must include but not limited to: measures of interior angles of a triangle sum to 180\u00b0; base angles of isosceles triangles are congruent; the mid segment of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-CO.C.10","listEnumeration":"10.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a2950f0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2950f0-d7cc-11e8-824f-0242ac160002","fullStatement":"Prove theorems about parallelograms. Theorems must include but not limited to: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-CO.C.11","listEnumeration":"11.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a295393-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a295393-d7cc-11e8-824f-0242ac160002","fullStatement":"Perform geometric constructions with a compass and straightedge. including copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines/segments, constructing a line parallel to a given line through a point not on the line.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-CO.D.12","listEnumeration":"12.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a295632-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a295632-d7cc-11e8-824f-0242ac160002","fullStatement":"Make geometric constructions","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSG-CO.D","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a2958cd-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2958cd-d7cc-11e8-824f-0242ac160002","fullStatement":"Construct an equilateral triangle, a square, and a regular hexagon.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-CO.D.13","listEnumeration":"13.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a295b68-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a295b68-d7cc-11e8-824f-0242ac160002","fullStatement":"Similarity, Right Triangles, & 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factor.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.A.1","listEnumeration":"1.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a295fa4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a295fa4-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand similarity in terms of similarity 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transformations.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.A.2","listEnumeration":"2.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a296614-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a296614-d7cc-11e8-824f-0242ac160002","fullStatement":"Use the properties of similarity transformations to establish similarity theorems. Theorems must include AA, SAS, and SSS.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.A.3","listEnumeration":"3.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a2968d0-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2968d0-d7cc-11e8-824f-0242ac160002","fullStatement":"Prove theorems about triangles involving similarity. Theorems must include but not limited to: a line parallel to one side of a triangle divides the other two proportionally, and its converse; the Pythagorean Theorem proved using triangle similarity.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.B.4","listEnumeration":"4.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a296ba2-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a296ba2-d7cc-11e8-824f-0242ac160002","fullStatement":"Prove theorems involving similarity","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSG-SRT.B","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a296e5d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a296e5d-d7cc-11e8-824f-0242ac160002","fullStatement":"Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.B.5","listEnumeration":"5.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a297139-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a297139-d7cc-11e8-824f-0242ac160002","fullStatement":"Define, using similarity, that side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios (sine, cosine, and tangent) for acute angles.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.C.6","listEnumeration":"6.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a2973ae-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2973ae-d7cc-11e8-824f-0242ac160002","fullStatement":"Define trigonometric ratios and solve problems involving right triangles","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSG-SRT.C","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a29761e-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a29761e-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain and use the relationship between the sine and cosine of complementary angles.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.C.7","listEnumeration":"7.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a297858-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a297858-d7cc-11e8-824f-0242ac160002","fullStatement":"Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSG-SRT.C.8","listEnumeration":"8.","notes":"Modeling is best interpreted not as a collection of isolated topics but in relation to other standards. Making mathematical models is a Standard for Mathematical Practice, and specific modeling standards appear throughout the high school standards indicated by a star symbol (\u2605). 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problem.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-IF.A.5","listEnumeration":"5.","notes":"Modeling standard.\r\n\r\nStandard shared between Algebra I and Algebra II.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-12-06T16:36:44+00:00"},{"identifier":"7a2a28f1-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2a28f1-d7cc-11e8-824f-0242ac160002","fullStatement":"Analyze functions using different representations","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSF-IF.B","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-12-06T16:38:16+00:00"},{"identifier":"7a2a2be9-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2a2be9-d7cc-11e8-824f-0242ac160002","fullStatement":"Graph parent functions and their transformations expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-IF.B.7","listEnumeration":"7.","notes":"Modeling 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behavior.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-IF.B.7.d","listEnumeration":"d.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-12-06T16:38:38+00:00"},{"identifier":"7a2a3872-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2a3872-d7cc-11e8-824f-0242ac160002","fullStatement":"Graph logarithmic functions, showing intercepts and end behavior.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-IF.B.7.e","listEnumeration":"e.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-12-06T16:38:43+00:00"},{"identifier":"7a2a3b23-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2a3b23-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal 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context.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSF-BF.A.1.a","listEnumeration":"a.","notes":"Modeling standard.","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a2a40b4-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2a40b4-d7cc-11e8-824f-0242ac160002","fullStatement":"Write a function that describes a relationship between two quantities.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"HSF-BF.A.1","listEnumeration":"1.","notes":"Modeling 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functions","CFItemType":"Cluster","CFItemTypeURI":{"title":"Cluster","identifier":"d77602ec-0098-5b60-b0c0-531cc61709e3","uri":"https://hcs.satchelcommons.com/ims/case/v1p0/CFItemTypes/d77602ec-0098-5b60-b0c0-531cc61709e3"},"humanCodingScheme":"HSF-BF.B","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:56:19+00:00"},{"identifier":"7a2a4b9d-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2a4b9d-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify the effect on the graph of f(x) replaced with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. 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secant.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"2d745335-aa67-4729-a42a-5cffd08b6969","uri":"https://ky.satchelcommons.com/ims/case/v1p0/CFItemTypes/2d745335-aa67-4729-a42a-5cffd08b6969"},"humanCodingScheme":"HSF.BF.B.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a2bbfaa-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2bbfaa-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Use fundamental trigonometric 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form.","CFItemType":"Component","CFItemTypeURI":{"title":"Component","identifier":"1f1afd62-66cd-51cb-8299-1fe5ced9df16","uri":"https://api.standards.isbe.net/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/1f1afd62-66cd-51cb-8299-1fe5ced9df16"},"humanCodingScheme":"HSG-GPE.A.3.b","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-10-24T20:36:29+00:00"},{"identifier":"7a2bcf0c-d7cc-11e8-824f-0242ac160002","uri":"https://casenetwork.imsglobal.org/uri/7a2bcf0c-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) When given a graph, be able to write the equation of the conic section, and vice 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