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Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. (Sizes are compared directly or visually, not compared by measuring.)","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.G.J.1","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:19:17+00:00"},{"identifier":"67b65052-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b65052-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.F.1","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:10:42+00:00"},{"identifier":"67b652cc-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b652cc-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; and demonstrate that:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.D.1","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-21T11:28:40+00:00"},{"identifier":"67b65557-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b65557-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, by using drawings and equations with a symbol for the unknown number to represent the problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.OA.A.1","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:35:56+00:00"},{"identifier":"67b658dc-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b658dc-d7cc-11e8-824f-0242ac160002","fullStatement":"Use attributes of quadrilaterals to classify rhombuses, rectangles, and squares. Understand 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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.G.K.1","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:12:26+00:00"},{"identifier":"67b65b76-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b65b76-d7cc-11e8-824f-0242ac160002","fullStatement":"Use analog clocks to tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.MD.G.1","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:01:51+00:00"},{"identifier":"67b65dfe-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b65dfe-d7cc-11e8-824f-0242ac160002","fullStatement":"Use place value understanding to round whole numbers to the nearest 10 or 100.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NBT.E.1","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:53:32+00:00"},{"identifier":"67b66082-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b66082-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; understand a fraction a/b as the quantity formed by a parts of size 1/b.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NF.F.1","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:56:11+00:00"},{"identifier":"67b66339-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b66339-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent the concept of multiplication of whole numbers using models including, but not limited to, equal-sized groups (\"groups of\"), arrays, area models, repeated addition, and equal \"jumps\" on a number line.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.A.1","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:38:19+00:00"},{"identifier":"67b665cc-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b665cc-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. 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Record measurement equivalents in a two-column table.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.MD.I.1","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:40:12+00:00"},{"identifier":"67b66af2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b66af2-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.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.D.1","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:09:41+00:00"},{"identifier":"67b66d7a-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b66d7a-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. 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left.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NBT.C.1","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:27:33+00:00"},{"identifier":"67b67a43-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b67a43-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 of fractions with like denominators.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NF.E.1","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:33:28+00:00"},{"identifier":"67b67cdd-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b67cdd-d7cc-11e8-824f-0242ac160002","fullStatement":"Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.OA.A.1","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:23:05+00:00"},{"identifier":"67b67f6f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b67f6f-d7cc-11e8-824f-0242ac160002","fullStatement":"Write and evaluate numerical expressions involving whole-number exponents.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.EE.E.1","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:53:24+00:00"},{"identifier":"67b681f9-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b681f9-d7cc-11e8-824f-0242ac160002","fullStatement":"Find 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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.G.H.1","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T14:08:44+00:00"},{"identifier":"67b68489-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b68489-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions by using visual fraction models and equations to represent the problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.NS.B.1","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:37:32+00:00"},{"identifier":"67b68727-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b68727-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.RP.A.1","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:33:24+00:00"},{"identifier":"67b689c4-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b689c4-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.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.SP.I.1","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T14:11:47+00:00"},{"identifier":"67b68ca2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b68ca2-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.EE.C.1","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T17:15:14+00:00"},{"identifier":"67b68f3a-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b68f3a-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.G.E.1","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T17:39:18+00:00"},{"identifier":"67b691d3-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b691d3-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.NS.B.1","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:15:42+00:00"},{"identifier":"67b694c0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b694c0-d7cc-11e8-824f-0242ac160002","fullStatement":"Compute unit rates, including those involving complex fractions, with like or different units.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.RP.A.1","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:11:25+00:00"},{"identifier":"67b6972a-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6972a-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems involving:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.SP.G.1","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T20:36:30+00:00"},{"identifier":"67b69989-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b69989-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to generate equivalent numerical expressions limited to integer exponents.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.EE.B.1","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:35:09+00:00"},{"identifier":"67b69c3f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b69c3f-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. (Function notation is not required in Grade 8.)","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.F.E.1","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:50:34+00:00"},{"identifier":"67b69f01-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b69f01-d7cc-11e8-824f-0242ac160002","fullStatement":"Verify experimentally the properties of rotations, reflections, and translations.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.G.G.1","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:55:52+00:00"},{"identifier":"67b6a166-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6a166-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 eventually, and convert a decimal expansion which repeats eventually into a rational number. Explore the real number system and its appropriate usage in real-world situations.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.NS.A.1","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T11:36:32+00:00"},{"identifier":"67b6a3d6-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6a3d6-d7cc-11e8-824f-0242ac160002","fullStatement":"Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe the association by form (linear / nonlinear), direction (positive / negative), strength (correlation), and unusual features.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.SP.J.1","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T11:04:55+00:00"},{"identifier":"67b6a646-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6a646-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.APR.C.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:08:28+00:00"},{"identifier":"67b6a8b9-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6a8b9-d7cc-11e8-824f-0242ac160002","fullStatement":"Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.CED.G.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:15:10+00:00"},{"identifier":"67b6ab27-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6ab27-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.REI.H.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:18:32+00:00"},{"identifier":"67b6ad99-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6ad99-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret expressions that represent a quantity in terms of its context.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.SSE.A.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:02:23+00:00"},{"identifier":"67b6b020-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6b020-d7cc-11e8-824f-0242ac160002","fullStatement":"Write a function that describes a relationship between two quantities.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.BF.D.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T11:04:34+00:00"},{"identifier":"67b6b2dc-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6b2dc-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain 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. The graph of f is the graph of the equation y = f(x).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.IF.A.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T10:51:11+00:00"},{"identifier":"67b6b55f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6b55f-d7cc-11e8-824f-0242ac160002","fullStatement":"Distinguish between situations that can be modeled with linear functions and with exponential functions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.LE.F.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T11:13:45+00:00"},{"identifier":"67b6b7d2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6b7d2-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.TF.H.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T11:19:02+00:00"},{"identifier":"67b6ba49-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6ba49-d7cc-11e8-824f-0242ac160002","fullStatement":"Prove that all circles are similar.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.C.I.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:58:43+00:00"},{"identifier":"67b6bcbe-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6bcbe-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.CO.A.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:43:14+00:00"},{"identifier":"67b6bf36-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6bf36-d7cc-11e8-824f-0242ac160002","fullStatement":"Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri\u2019s principle, and informal limit arguments.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.GMD.M.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T14:09:52+00:00"},{"identifier":"67b6c1b2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6c1b2-d7cc-11e8-824f-0242ac160002","fullStatement":"Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.GPE.K.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T14:03:30+00:00"},{"identifier":"67b6c42f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6c42f-d7cc-11e8-824f-0242ac160002","fullStatement":"Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.MG.O.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T14:13:02+00:00"},{"identifier":"67b6c6bc-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6c6bc-d7cc-11e8-824f-0242ac160002","fullStatement":"Verify heuristically the properties of dilations given by a center and a scale factor.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.SRT.E.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:50:31+00:00"},{"identifier":"67b6c936-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6c936-d7cc-11e8-824f-0242ac160002","fullStatement":"Know there is a complex number i such that i\u00b2 = \u22121, and every complex number has the form a + bi with a and b real.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.CN.D.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:10:14+00:00"},{"identifier":"67b6cc5f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6cc5f-d7cc-11e8-824f-0242ac160002","fullStatement":"Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.Q.C.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:44:02+00:00"},{"identifier":"67b6cee9-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6cee9-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain how the meaning of the definition of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.RN.A.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:04:42+00:00"},{"identifier":"67b6d180-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6d180-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v ,|v|, ||v||, v).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.G.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:19:00+00:00"},{"identifier":"67b6d402-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6d402-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (\"or,\" \"and,\" \"not\").","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.CP.F.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:19:57+00:00"},{"identifier":"67b6d684-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6d684-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Understand statistics as a process for making inferences about population parameters based on a random sample from that population.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.IC.D.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:14:40+00:00"},{"identifier":"67b6d948-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6d948-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent data with plots on the real number line (dot plots, histograms, and box plots) by hand or using technology.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.ID.A.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:05:21+00:00"},{"identifier":"67b6dbd7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6dbd7-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.MD.H.1","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:27:26+00:00"},{"identifier":"67b6de60-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6de60-d7cc-11e8-824f-0242ac160002","fullStatement":"Count to 100 by ones and by tens.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.A.1.A","listEnumeration":"1.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:09:11+00:00"},{"identifier":"67b6e0e7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6e0e7-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe objects in the environment using the 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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.G.H.1","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:32:17+00:00"},{"identifier":"67b6e372-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6e372-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe several measurable attributes of one or more objects.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.MD.F.1","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:46:34+00:00"},{"identifier":"67b6e5fc-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6e5fc-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe, explore, and explain how the counting numbers 11 to 19 is:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.NBT.E.1","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:23:08+00:00"},{"identifier":"67b6e8a6-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6e8a6-d7cc-11e8-824f-0242ac160002","fullStatement":"Model situations that involve representing addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.OA.D.1","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:45:57+00:00"},{"identifier":"67b6eb40-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6eb40-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","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. 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Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.REI.K.11","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:27:47+00:00"},{"identifier":"67b6fdd1-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b6fdd1-d7cc-11e8-824f-0242ac160002","fullStatement":"Prove theorems about parallelograms. Theorems include: 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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.CO.C.11","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:47:53+00:00"},{"identifier":"67b700aa-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b700aa-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.SRT.H.11","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:57:41+00:00"},{"identifier":"67b7034e-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7034e-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. 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Express the area of each part as a unit fraction of the whole.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.G.K.2","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:12:52+00:00"},{"identifier":"67b794aa-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b794aa-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure and estimate liquid volumes and masses of objects using grams (g), kilograms (kg), and liters (L). (Excludes compound units such as cm^3 and finding the geometric volume of a container.) Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units. (Excludes multiplicative comparison problems involving notions of \u201ctimes as much.\u201d)","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.MD.G.2","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:25:29+00:00"},{"identifier":"67b79752-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b79752-d7cc-11e8-824f-0242ac160002","fullStatement":"Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of addition, and/or the relationship between addition and subtraction.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NBT.E.2","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:53:53+00:00"},{"identifier":"67b799f3-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b799f3-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand and represent fractions on a number line diagram.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NF.F.2","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:56:34+00:00"},{"identifier":"67b79cd0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b79cd0-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent the concept of division of whole numbers (resulting in whole number quotients) using models including, but not limited to, partitioning, repeated subtraction, sharing, and inverse of multiplication.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.A.2","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:38:50+00:00"},{"identifier":"67b79f88-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b79f88-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 right triangles as a category, and identify right triangles.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.G.L.2","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:52:56+00:00"},{"identifier":"67b7a22a-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7a22a-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 simple 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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.MD.I.2","notes":"**Assessment Boundary:**\r\n\r\nUse denominators of 2, 4, 8 and decimals up to hundredths.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:40:18+00:00"},{"identifier":"67b7a4d7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7a4d7-d7cc-11e8-824f-0242ac160002","fullStatement":"Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.D.2","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:10:09+00:00"},{"identifier":"67b7a7ce-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7a7ce-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.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.F.2","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:16:15+00:00"},{"identifier":"67b7ab7d-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7ab7d-d7cc-11e8-824f-0242ac160002","fullStatement":"Multiply or divide to solve word problems involving multiplicative comparison, by using strategies including, but not limited to, drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.OA.A.2","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:03:01+00:00"},{"identifier":"67b7ae29-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7ae29-d7cc-11e8-824f-0242ac160002","fullStatement":"Plot and interpret points in the first quadrant of the coordinate plane to represent real-world and mathematical situations.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.G.J.2","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T20:05:30+00:00"},{"identifier":"67b7b0d3-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7b0d3-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). Use operations on fractions to solve problems involving information presented in line plots.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.MD.H.2","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:56:28+00:00"},{"identifier":"67b7b388-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7b388-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NBT.C.2","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:27:58+00:00"},{"identifier":"67b7b635-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7b635-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. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NF.E.2","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:34:00+00:00"},{"identifier":"67b7b8f2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7b8f2-d7cc-11e8-824f-0242ac160002","fullStatement":"Write simple expressions requiring parentheses that record calculations with numbers, and interpret numerical expressions without evaluating them.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.OA.A.2","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:23:29+00:00"},{"identifier":"67b7bd67-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7bd67-d7cc-11e8-824f-0242ac160002","fullStatement":"Write, read, and evaluate expressions in which letters stand for numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.EE.E.2","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:53:47+00:00"},{"identifier":"67b7c021-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7c021-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the volume of a right rectangular prism with fractional edge lengths in the context of solving real-world and mathematical problems by applying the formulas V = (l)(w)(h) and V = (B)(h), and label with appropriate units.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.G.H.2","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T14:09:14+00:00"},{"identifier":"67b7c326-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7c326-d7cc-11e8-824f-0242ac160002","fullStatement":"Divide multi-digit numbers using efficient and generalizable procedures including, but not limited to the standard algorithm.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.NS.C.2","notes":"**Assessment boundary**: \r\n\r\nUse up to 5-digit dividend, 2-digit divisors.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:38:32+00:00"},{"identifier":"67b7c5e0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7c5e0-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.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.RP.A.2","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:33:51+00:00"},{"identifier":"67b7c885-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7c885-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.SP.I.2","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T14:12:31+00:00"},{"identifier":"67b7cb79-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7cb79-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize that algebraic expressions may have a variety of equivalent forms that reveal different information, and determine an appropriate form for a given real-world situation.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.EE.C.2","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T17:15:46+00:00"},{"identifier":"67b7ce63-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7ce63-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw geometric shapes with given conditions using a variety of tools (e.g., ruler and protractor, or technology). 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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.G.E.2","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T17:39:44+00:00"},{"identifier":"67b7d096-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7d096-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.NS.B.2","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:21:10+00:00"},{"identifier":"67b7d2c7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7d2c7-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize and represent proportional relationships between quantities.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.RP.A.2","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:11:48+00:00"},{"identifier":"67b7d4f5-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7d4f5-d7cc-11e8-824f-0242ac160002","fullStatement":"Draw inferences about a population by collecting multiple random samples of the same size to investigate variability in estimates of the characteristic of interest.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.SP.G.2","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T20:40:58+00:00"},{"identifier":"67b7d733-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7d733-d7cc-11e8-824f-0242ac160002","fullStatement":"Investigate concepts of square and cube roots.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.EE.B.2","notes":"**Assessment Boundary**: \r\n\r\nInclude perfect squares up to 144 and perfect cubes up to 125.","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:38:44+00:00"},{"identifier":"67b7d969-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7d969-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.F.E.2","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:51:02+00:00"},{"identifier":"67b7dba2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7dba2-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize through visual comparison that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.G.G.2","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T11:25:43+00:00"},{"identifier":"67b7ddd6-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7ddd6-d7cc-11e8-824f-0242ac160002","fullStatement":"Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.NS.A.2","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:33:50+00:00"},{"identifier":"67b7e011-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b7e011-d7cc-11e8-824f-0242ac160002","fullStatement":"Know that straight lines are widely used to model relationships between two quantitative variables. 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give examples of functions that are not linear.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.F.E.3","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:51:31+00:00"},{"identifier":"67b8c464-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8c464-d7cc-11e8-824f-0242ac160002","fullStatement":"Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.G.G.3","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:58:17+00:00"},{"identifier":"67b8c723-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8c723-d7cc-11e8-824f-0242ac160002","fullStatement":"Use an equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.SP.J.3","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T11:06:08+00:00"},{"identifier":"67b8c9f7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8c9f7-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.APR.D.3","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:09:41+00:00"},{"identifier":"67b8ccbd-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8ccbd-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.CED.G.3","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:16:10+00:00"},{"identifier":"67b8cf89-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8cf89-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.REI.I.3","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:20:24+00:00"},{"identifier":"67b8d24d-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8d24d-d7cc-11e8-824f-0242ac160002","fullStatement":"Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.SSE.B.3","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:04:30+00:00"},{"identifier":"67b8d562-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b8d562-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); 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(Students need not use formal terms for these properties.)","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.B.5","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:47:50+00:00"},{"identifier":"67b9f968-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b9f968-d7cc-11e8-824f-0242ac160002","fullStatement":"Regarding angles:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.MD.K.5","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:30:06+00:00"},{"identifier":"67b9fc5f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b9fc5f-d7cc-11e8-824f-0242ac160002","fullStatement":"Use strategies based on place value and the properties of multiplication to:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.E.5","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:11:55+00:00"},{"identifier":"67b9ff51-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67b9ff51-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.H.5","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:24:20+00:00"},{"identifier":"67ba0253-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba0253-d7cc-11e8-824f-0242ac160002","fullStatement":"Given a pattern, explain a rule that the pattern follows and extend the pattern. 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Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). 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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. 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Use strategies such as counting on; making ten using the relationship between addition and subtraction.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.OA.C.6","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:42:50+00:00"},{"identifier":"67ba6f2c-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba6f2c-d7cc-11e8-824f-0242ac160002","fullStatement":"Use a number line diagram with equally spaced points to:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.G.6","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:13:14+00:00"},{"identifier":"67ba7238-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba7238-d7cc-11e8-824f-0242ac160002","fullStatement":"Add up to four two-digit numbers using strategies based on place value and/or properties of addition.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.6","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:05:11+00:00"},{"identifier":"67ba7544-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba7544-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure areas by counting unit squares (square cm, square m, square in., square ft, and improvised units).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.MD.I.6","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:06:41+00:00"},{"identifier":"67ba7853-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba7853-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand division as an unknown-factor problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.B.6","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:47:43+00:00"},{"identifier":"67ba7b60-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba7b60-d7cc-11e8-824f-0242ac160002","fullStatement":"Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.MD.K.6","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:33:46+00:00"},{"identifier":"67ba7e84-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba7e84-d7cc-11e8-824f-0242ac160002","fullStatement":"Use strategies based on place value, the properties of multiplication, and/or the relationship between multiplication and division to find quotients and remainders with up to four-digit dividends and one-digit divisors. Use appropriate models to explain the calculation, such as by using equations, rectangular arrays, and/or area models.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.E.6","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-21T11:31:34+00:00"},{"identifier":"67ba81ce-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba81ce-d7cc-11e8-824f-0242ac160002","fullStatement":"Use decimal notation for fractions with denominators 10 or 100.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.H.6","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:24:46+00:00"},{"identifier":"67ba84e4-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba84e4-d7cc-11e8-824f-0242ac160002","fullStatement":"Find whole-number quotients with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of multiplication, and/or the relationship between multiplication and division, including the standard algorithm. Use appropriate models to Illustrate and explain the calculation, such as equations, rectangular arrays, and/or area models.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NBT.D.6","notes":"**Assessment Boundary**: \r\n\r\nThe standard algorithm for division will not be assessed.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-21T11:33:39+00:00"},{"identifier":"67ba8841-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba8841-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NF.F.6","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:52:32+00:00"},{"identifier":"67ba8bad-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba8bad-d7cc-11e8-824f-0242ac160002","fullStatement":"Use variables to represent unknown numbers and write expressions when solving a real-world or mathematical problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.EE.F.6","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:58:01+00:00"},{"identifier":"67ba8ec0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba8ec0-d7cc-11e8-824f-0242ac160002","fullStatement":"Extend the understanding of the number line to include all rational numbers and apply this concept to the coordinate plane.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.NS.D.6","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:45:24+00:00"},{"identifier":"67ba91da-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba91da-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems involving","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.G.F.6","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T17:43:13+00:00"},{"identifier":"67ba94f5-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba94f5-d7cc-11e8-824f-0242ac160002","fullStatement":"Collect multiple samples to compare the relationship between theoretical and experimental probabilities for simple events.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.SP.I.6","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T20:47:14+00:00"},{"identifier":"67ba9819-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67ba9819-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; 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write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b (x) using inspection, long division, or, for the more complicated examples, a computer algebra system. (i.e. rewriting a rational expression as the quotient plus the remainder over divisor).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.APR.F.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:13:18+00:00"},{"identifier":"67baa17f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67baa17f-d7cc-11e8-824f-0242ac160002","fullStatement":"Estimate solutions graphically and determine algebraic solutions to linear systems, focusing on pairs of linear equations in two variables.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.REI.J.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:24:29+00:00"},{"identifier":"67baa49f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67baa49f-d7cc-11e8-824f-0242ac160002","fullStatement":"Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.IF.B.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T10:54:11+00:00"},{"identifier":"67baa7cf-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67baa7cf-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.TF.I.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T12:04:49+00:00"},{"identifier":"67baab2b-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67baab2b-d7cc-11e8-824f-0242ac160002","fullStatement":"Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.CO.B.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:44:31+00:00"},{"identifier":"67baae55-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67baae55-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the point on a directed line segment between two given points that partitions the segment in a given ratio.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.GPE.L.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T14:06:16+00:00"},{"identifier":"67bab17a-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bab17a-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.SRT.G.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:54:56+00:00"},{"identifier":"67bab49e-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bab49e-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.CN.E.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:15:45+00:00"},{"identifier":"67bab7cb-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bab7cb-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Use matrices to represent and manipulate data.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.I.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:25:42+00:00"},{"identifier":"67babafa-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67babafa-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Find the conditional probability of A given B as the fraction of B\u2019s outcomes that also belong to A, and interpret the answer in terms of the model.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.CP.G.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:24:05+00:00"},{"identifier":"67babe2c-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67babe2c-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Evaluate reports based on data.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.IC.E.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:37:37+00:00"},{"identifier":"67bac15e-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bac15e-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.ID.B.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:09:10+00:00"},{"identifier":"67bac4f2-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bac4f2-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.MD.I.6","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:33:18+00:00"},{"identifier":"67bacbfa-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bacbfa-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.C.6","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:13:42+00:00"},{"identifier":"67bad104-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bad104-d7cc-11e8-824f-0242ac160002","fullStatement":"Use simple shapes to compose squares, rectangles, and hexagons.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.G.I.6","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:35:03+00:00"},{"identifier":"67bad4ac-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bad4ac-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","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. 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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":"2019-09-16T19:04:17+00:00"},{"identifier":"67bb3cf7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb3cf7-d7cc-11e8-824f-0242ac160002","fullStatement":"Grade 7","CFItemType":"Grade Level","CFItemTypeURI":{"title":"Grade Level","identifier":"8047d85d-6c8e-5231-bd6d-050731684413","uri":"https://api.acmt-prod.learningmate.com/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/8047d85d-6c8e-5231-bd6d-050731684413"},"language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T14:42:44+00:00"},{"identifier":"67bb3fa0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb3fa0-d7cc-11e8-824f-0242ac160002","fullStatement":"Determine the unknown whole number in an addition or subtraction equation relating three whole numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.OA.D.8","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:43:57+00:00"},{"identifier":"67bb424f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb424f-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems up to $10 involving dollar bills, quarters, dimes, nickels, and pennies, using $ (dollars) and \u00a2 (cents) symbols appropriately.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.H.8","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:14:31+00:00"},{"identifier":"67bb4532-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb4532-d7cc-11e8-824f-0242ac160002","fullStatement":"Mentally:","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.8","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:07:44+00:00"},{"identifier":"67bb47ec-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb47ec-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 area or with the same area and different perimeter.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.MD.J.8","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:11:11+00:00"},{"identifier":"67bb4a9c-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb4a9c-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve two-step word problems (limited to the whole number system) using the four basic operations. Students should apply the Order of Operations when there are no parentheses to specify a particular order.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.D.8","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:50:03+00:00"},{"identifier":"67bb4d63-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb4d63-d7cc-11e8-824f-0242ac160002","fullStatement":"Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.EE.F.8","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T14:05:05+00:00"},{"identifier":"67bb501b-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb501b-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Find distances between points with the same first coordinate or the same second coordinate; relate absolute value and distance.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.NS.D.8","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:52:08+00:00"},{"identifier":"67bb5272-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb5272-d7cc-11e8-824f-0242ac160002","fullStatement":"Find probabilities of compound events using organized lists, tables, and tree diagrams.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.SP.I.8","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T20:51:38+00:00"},{"identifier":"67bb54be-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb54be-d7cc-11e8-824f-0242ac160002","fullStatement":"Analyze and solve pairs of simultaneous linear 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system.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.G.H.8","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T11:01:01+00:00"},{"identifier":"67bb595b-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb595b-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Represent a system of linear equations as a single matrix equation in a vector variable.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.REI.J.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:25:27+00:00"},{"identifier":"67bb5bb6-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb5bb6-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.IF.C.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T11:01:49+00:00"},{"identifier":"67bb5e06-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb5e06-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Prove the Pythagorean identity (sin A)\u00b2 + (cos A)\u00b2= 1 and use it to find sin A, cos A, or tan A, given sin A, cos A, or tan A, and the quadrant of the angle.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.TF.J.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T11:24:04+00:00"},{"identifier":"67bb6046-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb6046-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.CO.B.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:45:30+00:00"},{"identifier":"67bb62d5-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb62d5-d7cc-11e8-824f-0242ac160002","fullStatement":"Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"G.SRT.G.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T13:55:48+00:00"},{"identifier":"67bb6530-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb6530-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Extend polynomial identities to the complex numbers. For example, rewrite x\u00b2 + 4 as (x + 2i)(x \u2013 2i).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.CN.F.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:17:28+00:00"},{"identifier":"67bb6778-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb6778-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Add, subtract, and multiply matrices of appropriate dimensions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.I.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:26:08+00:00"},{"identifier":"67bb69c6-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb69c6-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = [P(A)]x [P(B|A)] =[P(B)]x[P(A|B)], and interpret the answer in terms of the model.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.CP.G.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:25:33+00:00"},{"identifier":"67bb6c4d-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb6c4d-d7cc-11e8-824f-0242ac160002","fullStatement":"Compute (using technology) and interpret the correlation coefficient of a linear fit.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.ID.C.8","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:12:52+00:00"},{"identifier":"67bb6f0f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb6f0f-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","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":"2019-09-16T19:04:24+00:00"},{"identifier":"67bb7170-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb7170-d7cc-11e8-824f-0242ac160002","fullStatement":"Grade 8","CFItemType":"Grade Level","CFItemTypeURI":{"title":"Grade Level","identifier":"8047d85d-6c8e-5231-bd6d-050731684413","uri":"https://api.acmt-prod.learningmate.com/server/api/v1/ISBOE/ims/case/v1p0/CFItemTypes/8047d85d-6c8e-5231-bd6d-050731684413"},"language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T09:22:58+00:00"},{"identifier":"67bb73c5-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb73c5-d7cc-11e8-824f-0242ac160002","fullStatement":"Generate measurement data based on whole units and show data by making a line plot.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.I.9","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:16:25+00:00"},{"identifier":"67bb761f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb761f-d7cc-11e8-824f-0242ac160002","fullStatement":"Explain why addition and subtraction strategies work, using place value and the properties of addition. (Explanations may be supported by drawings, objects, or written form.)","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.9","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:09:19+00:00"},{"identifier":"67bb7870-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb7870-d7cc-11e8-824f-0242ac160002","fullStatement":"Identify arithmetic patterns and explain the relationships using properties of operations.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.D.9","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:51:53+00:00"},{"identifier":"67bb7b0b-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bb7b0b-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 (dependent variable), in terms of the other quantity (independent variable). 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sides.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.EE.D.7.A","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:46:20+00:00"},{"identifier":"67bbd9f7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bbd9f7-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 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length.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"8.G.G.1.A","language":"en","educationLevel":["08"],"lastChangeDateTime":"2019-09-21T10:56:21+00:00"},{"identifier":"67bbdeca-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bbdeca-d7cc-11e8-824f-0242ac160002","fullStatement":"Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)\u00b2 = q that has the same solutions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"A.REI.I.4.A","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T09:21:35+00:00"},{"identifier":"67bbe167-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bbe167-d7cc-11e8-824f-0242ac160002","fullStatement":"Interpret parts of an expression, such as terms, factors, and 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Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.H.4.A","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:21:24+00:00"},{"identifier":"67bbf72f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bbf72f-d7cc-11e8-824f-0242ac160002","fullStatement":"Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.H.5.A","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:23:29+00:00"},{"identifier":"67bbf99d-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bbf99d-d7cc-11e8-824f-0242ac160002","fullStatement":"Use a function to describe data trends to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear, quadratic, and exponential models.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.ID.B.6.A","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:10:25+00:00"},{"identifier":"67bbfcc0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bbfcc0-d7cc-11e8-824f-0242ac160002","fullStatement":"Find the expected payoff for a game of chance. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.MD.I.5.A","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:31:21+00:00"},{"identifier":"67bc01a5-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc01a5-d7cc-11e8-824f-0242ac160002","fullStatement":"Use one-to-one correspondence when counting objects.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.B.4.A","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:11:31+00:00"},{"identifier":"67bc070d-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc070d-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.F.2.B","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:48:58+00:00"},{"identifier":"67bc0b64-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc0b64-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.D.1.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:01:14+00:00"},{"identifier":"67bc1061-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc1061-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.MD.I.7.B","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-21T11:34:35+00:00"},{"identifier":"67bc12fa-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc12fa-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":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NF.F.2.A","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:57:40+00:00"},{"identifier":"67bc1578-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc1578-d7cc-11e8-824f-0242ac160002","fullStatement":"Recognize and generate simple equivalent fractions. Explain why the fractions are equivalent. Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NF.F.3.B","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:59:05+00:00"},{"identifier":"67bc1aad-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc1aad-d7cc-11e8-824f-0242ac160002","fullStatement":"Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. 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Compute the direction of cv knowing that when |c|v \u2260 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.H.5.C","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:23:58+00:00"},{"identifier":"67bc752a-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc752a-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Informally assess the fit of a function by plotting and analyzing residuals.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.ID.B.6.B","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:10:51+00:00"},{"identifier":"67bc783e-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc783e-d7cc-11e8-824f-0242ac160002","fullStatement":"Evaluate and compare strategies on the basis of expected values. 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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.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.MD.I.7.C","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:09:20+00:00"},{"identifier":"67bc83c0-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc83c0-d7cc-11e8-824f-0242ac160002","fullStatement":"Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NF.F.3.C","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:59:48+00:00"},{"identifier":"67bc8694-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc8694-d7cc-11e8-824f-0242ac160002","fullStatement":"Add and subtract mixed numbers with like denominators by replacing each mixed number with an equivalent fraction, and/or by using properties of addition and the relationship between addition and subtraction.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.G.3.C","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:20:38+00:00"},{"identifier":"67bc8969-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc8969-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve real-world problems involving multiplication of a fraction by a whole number, using visual fraction models and equations to represent the problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.G.4.C","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:23:01+00:00"},{"identifier":"67bc8f23-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc8f23-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 by using visual fraction models and equations to represent the problem.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NF.F.7.C","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:52:29+00:00"},{"identifier":"67bc9206-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bc9206-d7cc-11e8-824f-0242ac160002","fullStatement":"Use Order of Operations to evaluate algebraic expressions at using positive rational numbers and whole-number exponents. 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Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"N.VM.H.4.C","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T00:22:25+00:00"},{"identifier":"67bcc2fb-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bcc2fb-d7cc-11e8-824f-0242ac160002","fullStatement":"Using technology, fit a least squares linear regression function for a scatter plot that suggests a linear association.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"S.ID.B.6.C","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T15:11:25+00:00"},{"identifier":"67bcc5c8-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bcc5c8-d7cc-11e8-824f-0242ac160002","fullStatement":"Understand that each successive number name refers to a quantity that is one more, and each previous number name refers to a quantity that is one less.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.B.4.C","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:12:05+00:00"},{"identifier":"67bccb68-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bccb68-d7cc-11e8-824f-0242ac160002","fullStatement":"Compare two fractions with the same numerator or the same denominator, by reasoning about their size, Recognize that valid comparisons rely on the two fractions referring to the same whole. Record the results of comparisons with the symbols > , = , or < , and justify the conclusions.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.NF.F.3.D","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T12:00:20+00:00"},{"identifier":"67bcce7f-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/67bcce7f-d7cc-11e8-824f-0242ac160002","fullStatement":"Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.G.3.D","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:21:05+00:00"},{"identifier":"683146f1-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/683146f1-d7cc-11e8-824f-0242ac160002","fullStatement":"Distinguish comparisons of absolute value from statements about order.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.NS.D.7.D","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:48:42+00:00"},{"identifier":"68315302-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/68315302-d7cc-11e8-824f-0242ac160002","fullStatement":"Use ratio reasoning to convert measurement units; convert units appropriately when multiplying or dividing quantities.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.RP.A.3.D","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:36:27+00:00"},{"identifier":"68315ac7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/68315ac7-d7cc-11e8-824f-0242ac160002","fullStatement":"Justify the choice of measures of center (median, mode, or mean) based on the shape of the data distribution and the context in which the data was gathered.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"6.SP.B.5.D","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T14:25:01+00:00"},{"identifier":"68316363-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/68316363-d7cc-11e8-824f-0242ac160002","fullStatement":"Apply properties of addition as strategies to add and subtract rational numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.NS.B.1.E","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:19:18+00:00"},{"identifier":"68316a70-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/68316a70-d7cc-11e8-824f-0242ac160002","fullStatement":"Convert a rational number to a decimal. 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rate.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.RP.A.2.D","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:13:49+00:00"},{"identifier":"683177d7-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/683177d7-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Produce an invertible function from a non-invertible function by restricting the domain.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.BF.E.4.D","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T11:11:36+00:00"},{"identifier":"68317e73-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/68317e73-d7cc-11e8-824f-0242ac160002","fullStatement":"(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end 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behavior.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"F.IF.C.7.E","language":"en","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-09-23T10:58:35+00:00"},{"identifier":"7bc0db26-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/7bc0db26-d7cc-11e8-824f-0242ac160002","fullStatement":"Count backwards by ones from 20.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.A.1.B","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:09:18+00:00"},{"identifier":"7bc0dd91-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/7bc0dd91-d7cc-11e8-824f-0242ac160002","fullStatement":"Answer the question \"how many?\" by counting up to 20 objects arranged in a line, a rectangular array, a circle, or as many as 10 objects in a scattered configuration.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.B.5.A","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:12:45+00:00"},{"identifier":"7bc0e0cf-d7cc-11e8-824f-0242ac160002","uri":"https://opensalt.net/uri/7bc0e0cf-d7cc-11e8-824f-0242ac160002","fullStatement":"Given a number from 1- 20, count out that many objects.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.CC.B.5.B","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:12:55+00:00"},{"identifier":"7dcb4406-d8b7-11e9-a0ab-19bae01762a3","uri":"https://opensalt.net/uri/7dcb4406-d8b7-11e9-a0ab-19bae01762a3","fullStatement":"Composed of ten ones and more ones.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.NBT.E.1.A","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:23:41+00:00"},{"identifier":"8b99efd8-d8b7-11e9-a55f-c5de6b1cbeea","uri":"https://opensalt.net/uri/8b99efd8-d8b7-11e9-a55f-c5de6b1cbeea","fullStatement":"Decomposed into ten ones and more ones.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.NBT.E.1.B","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:24:04+00:00"},{"identifier":"713d2226-d8b8-11e9-9eed-85dd6626d023","uri":"https://opensalt.net/uri/713d2226-d8b8-11e9-9eed-85dd6626d023","fullStatement":"Identify U.S. coins by name (pennies, nickels, dimes, and quarters).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"K.MD.G.4","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:31:29+00:00"},{"identifier":"d5934424-d8ba-11e9-908e-ef9498b899b3","uri":"https://opensalt.net/uri/d5934424-d8ba-11e9-908e-ef9498b899b3","fullStatement":"Standards for Mathematical Practice at Grade Level (K)","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:48:03+00:00"},{"identifier":"d5959a26-d8ba-11e9-9d93-51d32783513a","uri":"https://opensalt.net/uri/d5959a26-d8ba-11e9-9d93-51d32783513a","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP1","notes":"In Kindergarten, students begin to build the understanding that doing mathematics involves solving problems and discussing how they solved them. Students can explain the meaning of a problem and look for ways to solve it. Students check their thinking by using concrete objects or pictures to help them conceptualize and solve problems. Students are also working on increasing stamina as they work on problems.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:53:45+00:00"},{"identifier":"d598239a-d8ba-11e9-ae22-07241efb30db","uri":"https://opensalt.net/uri/d598239a-d8ba-11e9-ae22-07241efb30db","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP2","notes":"Students begin to recognize what a number is and that it also represents a specific quantity. Then, they connect the quantity to written symbols. Students make meaning of word problems and use manipulatives to express and solve their thinking. Students are also working on increasing stamina as they work on problems.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:53:51+00:00"},{"identifier":"d59ab0ec-d8ba-11e9-995c-65ca0ac9f69f","uri":"https://opensalt.net/uri/d59ab0ec-d8ba-11e9-995c-65ca0ac9f69f","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP3","notes":"Students construct arguments using concrete illustrations, such as objects, pictures, drawings, and actions. They also begin to develop their mathematical communication skills as they participate in mathematical discussions involving questions such as, \u201cHow did you get that? and Why is that true?\u201d They explain their thinking to others and respond to others\u2019 thinking by making connections. Students are also working on increasing stamina as they work on problems.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:53:57+00:00"},{"identifier":"d59e2e20-d8ba-11e9-8911-4f69a9d8aa25","uri":"https://opensalt.net/uri/d59e2e20-d8ba-11e9-8911-4f69a9d8aa25","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP4","notes":"Students experiment with representing problem situations in multiple ways including using objects, acting out, drawing pictures, numbers, words (mathematical language), making a chart or list, creating equations, etc. Students need opportunities to connect the different representations and explain the connections. They should be able to use all of these representations as needed.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:54:03+00:00"},{"identifier":"d5a081f2-d8ba-11e9-9cca-9505393421a3","uri":"https://opensalt.net/uri/d5a081f2-d8ba-11e9-9cca-9505393421a3","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP5","notes":"Students begin to explore the different available tools when thinking about the concepts of numbers. They begin to learn which tools help strengthen their understanding of concepts. For instance, kindergarteners may decide that it might be advantageous to use linking cubes to represent two quantities and then compare the two representations side-by-side.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:54:09+00:00"},{"identifier":"d5a32538-d8ba-11e9-a579-7fc5c30c3624","uri":"https://opensalt.net/uri/d5a32538-d8ba-11e9-a579-7fc5c30c3624","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP6","notes":"As kindergarteners begin to develop their mathematical communication skills, they try to use clear and precise mathematical vocabulary in their discussions with others and in their own reasoning. Students learn to attend to the shapes of numbers, quickly recognize quantities (subitizing), and simple drawings to show their work.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:54:16+00:00"},{"identifier":"d5a5bec4-d8ba-11e9-8aa6-c103955f057a","uri":"https://opensalt.net/uri/d5a5bec4-d8ba-11e9-8aa6-c103955f057a","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP7","notes":"Students begin to notice a number pattern or structure. For instance, students recognize the pattern that exists in the teen numbers; every teen number is written with a 1 (representing one ten) and ends with the digit that is first stated, and the pattern of numbers 0-9 repeat in the following numbers of 20, 30, etc. They also recognize that 3 + 2 = 5 and 2 + 3 = 5.","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:54:22+00:00"},{"identifier":"d5a815ca-d8ba-11e9-ad78-ab7767610884","uri":"https://opensalt.net/uri/d5a815ca-d8ba-11e9-ad78-ab7767610884","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"K.MP8","notes":"Students notice repetitive actions in counting and computation, etc. For example, they may notice that the next number in a counting sequence is one more. When counting by tens, the next number in the sequence is ten more (or one more group of ten). Students also notice that when adding two numbers, order of adding doesn\u2019t affect the sum (commutative property).","language":"en","educationLevel":["KG"],"lastChangeDateTime":"2019-09-16T19:54:29+00:00"},{"identifier":"a4801e1a-d979-11e9-bb66-07e7ab52879d","uri":"https://opensalt.net/uri/a4801e1a-d979-11e9-bb66-07e7ab52879d","fullStatement":"Standards for Mathematical Practice at Grade Level (1)","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:04:52+00:00"},{"identifier":"a4807a40-d979-11e9-a4b0-2753f8fad1bc","uri":"https://opensalt.net/uri/a4807a40-d979-11e9-a4b0-2753f8fad1bc","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP1","notes":"In first grade, students realize that doing mathematics involve solving problems and discussing how they solved them. Students explain the meaning of a problem and look for ways to solve it. Students may use concrete objects or pictures to help them conceptualize and solve problems. They may check their thinking by revisiting their work and asking themselves, \u201cDoes this make sense? \"or, \u201cShould I try another strategy.? Students are also working on increasing stamina as they work on problems.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:04:58+00:00"},{"identifier":"a4809732-d979-11e9-b952-4f7a0eb75b0a","uri":"https://opensalt.net/uri/a4809732-d979-11e9-b952-4f7a0eb75b0a","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP2","notes":"Students recognize that a number represents a specific quantity. They connect the quantity to written symbols. Quantitative reasoning means being able to explain through manipulatives or drawings what a problem means while attending to the meanings of the quantities. Students make meaning of a problem situation and translate into a number sentence.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:05+00:00"},{"identifier":"a480b1b8-d979-11e9-be9d-bb82d5cd7021","uri":"https://opensalt.net/uri/a480b1b8-d979-11e9-be9d-bb82d5cd7021","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP3","notes":"First graders construct arguments using concrete illustrations referents, such as objects, pictures, drawings, and actions. They also practice their mathematical communication skills as they participate in mathematical discussions involving questions like, \u201cHow did you get that?\u201d Explain your thinking, \u201cWhy is that true?\u201d They not only explain their own thinking, but listen to others\u2019 explanations. They decide if the explanations make sense and ask questions for clarity.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:12+00:00"},{"identifier":"a480cc2a-d979-11e9-aff1-2d45b1a1b119","uri":"https://opensalt.net/uri/a480cc2a-d979-11e9-aff1-2d45b1a1b119","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP4","notes":"Students experiment with representing problem situations in multiple ways including using objects, acting out, drawing pictures, numbers, words (mathematical language), making a chart or list, creating equations, etc. Students need opportunities to connect the different representations and explain the connections. They should be able to use all of these representations as needed.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:18+00:00"},{"identifier":"a480e728-d979-11e9-ad10-475345b1a081","uri":"https://opensalt.net/uri/a480e728-d979-11e9-ad10-475345b1a081","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP5","notes":"Students begin to consider the different tools available when thinking about the concepts of number. They evaluate the available tools (including concrete manipulatives, drawings, estimation, and applications) when solving a mathematical problem and decide when certain tools might be helpful and give a reason for using the tool to solve the problem. For instance, first graders decide it might be best to use colored chips to model an addition problem.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:24+00:00"},{"identifier":"a48101cc-d979-11e9-bb3b-6591c3b4cfc7","uri":"https://opensalt.net/uri/a48101cc-d979-11e9-bb3b-6591c3b4cfc7","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP6","notes":"Students begin to develop their mathematical communication skills. They try to use clear and precise mathematical vocabulary in their discussions with others and in their own reasoning. Students learn to express their work with mathematical language and symbols.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:30+00:00"},{"identifier":"a4811c8e-d979-11e9-9ac9-9b73c3485951","uri":"https://opensalt.net/uri/a4811c8e-d979-11e9-9ac9-9b73c3485951","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP7","notes":"First graders begin to discern a number pattern or structure. For instance, if students recognize 12 + 3 = 15, then they also know 3 + 12 = 15. (Commutative property of addition.) To add 4 + 6 + 4, the first two numbers can be added to make a ten, so 4 + 6 + 4 = 10 + 4 = 14. Students continue to develop their understanding of patterns in our number system.","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:37+00:00"},{"identifier":"a481375a-d979-11e9-b4c4-7f8664831f58","uri":"https://opensalt.net/uri/a481375a-d979-11e9-b4c4-7f8664831f58","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"1.MP8","notes":"Students notice repetitive actions in counting and computation, etc. When children have multiple opportunities to add and subtract ten, including multiples of ten, then they notice the pattern and gain a better understanding of place value. Students also notice that when adding two numbers, order of adding doesn\u2019t affect the sum (commutative property). They also notice that three numbers create a family when adding or subtracting (2+3=5 and 5-2=3).","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:05:44+00:00"},{"identifier":"6563c7d4-d97b-11e9-8ad9-151b90ee4314","uri":"https://opensalt.net/uri/6563c7d4-d97b-11e9-8ad9-151b90ee4314","fullStatement":"Count forward and backward, starting at any number less than 120.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.E.1.A","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:46:01+00:00"},{"identifier":"760fd5e6-d97b-11e9-ab73-4991a9843e87","uri":"https://opensalt.net/uri/760fd5e6-d97b-11e9-ab73-4991a9843e87","fullStatement":"Read numerals.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.E.1.B","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:46:29+00:00"},{"identifier":"80d61bb6-d97b-11e9-9e46-5fcb37775b6c","uri":"https://opensalt.net/uri/80d61bb6-d97b-11e9-9e46-5fcb37775b6c","fullStatement":"Write numerals.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.E.1.C","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:46:47+00:00"},{"identifier":"90862b14-d97b-11e9-a7fc-efbec14f41fd","uri":"https://opensalt.net/uri/90862b14-d97b-11e9-a7fc-efbec14f41fd","fullStatement":"Represent a number of objects with a written numeral.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.E.1.D","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:47:14+00:00"},{"identifier":"3b45af3e-d97c-11e9-8c05-a17ababbda3d","uri":"https://opensalt.net/uri/3b45af3e-d97c-11e9-8c05-a17ababbda3d","fullStatement":"Including adding a two-digit number and a one-digit number.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.G.4.A","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-21T11:34:07+00:00"},{"identifier":"47246494-d97c-11e9-a5e4-7bed05af03de","uri":"https://opensalt.net/uri/47246494-d97c-11e9-a5e4-7bed05af03de","fullStatement":"Adding a two-digit number and a multiple of 10.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.G.4.B","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:52:20+00:00"},{"identifier":"5cbdb2a6-d97c-11e9-83ef-974766cd97de","uri":"https://opensalt.net/uri/5cbdb2a6-d97c-11e9-83ef-974766cd97de","fullStatement":"Understand that in adding two-digit numbers, adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.G.4.C","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:52:56+00:00"},{"identifier":"69a51414-d97c-11e9-8b04-c5cbcae4344f","uri":"https://opensalt.net/uri/69a51414-d97c-11e9-8b04-c5cbcae4344f","fullStatement":"Relate the strategy to a written method and explain the reasoning used.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.NBT.G.4.D","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:53:18+00:00"},{"identifier":"01f029f2-d97d-11e9-adbe-9356c847c090","uri":"https://opensalt.net/uri/01f029f2-d97d-11e9-adbe-9356c847c090","fullStatement":"Identify U.S. coins by value (pennies, nickels, dimes, quarters).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.MD.I.3.B","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T18:57:33+00:00"},{"identifier":"8904addc-d97d-11e9-abe3-d976b14d8502","uri":"https://opensalt.net/uri/8904addc-d97d-11e9-abe3-d976b14d8502","fullStatement":"Describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.G.K.3.A","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:01:20+00:00"},{"identifier":"98ec1564-d97d-11e9-895b-f1610c67dcd9","uri":"https://opensalt.net/uri/98ec1564-d97d-11e9-895b-f1610c67dcd9","fullStatement":"Describe the whole as two of, or four of the shares.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.G.K.3.B","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:01:47+00:00"},{"identifier":"a5a018b4-d97d-11e9-bbb1-fbaee0153d22","uri":"https://opensalt.net/uri/a5a018b4-d97d-11e9-bbb1-fbaee0153d22","fullStatement":"Recognize that decomposing into more equal shares creates smaller shares.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"1.G.K.3.C","language":"en","educationLevel":["01"],"lastChangeDateTime":"2019-09-17T19:02:08+00:00"},{"identifier":"7937f900-d981-11e9-bcf1-331d0827d004","uri":"https://opensalt.net/uri/7937f900-d981-11e9-bcf1-331d0827d004","fullStatement":"Standards for Mathematical Practice at Grade Level (2)","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:29:47+00:00"},{"identifier":"79385c60-d981-11e9-86bd-e39d33c9c9e6","uri":"https://opensalt.net/uri/79385c60-d981-11e9-86bd-e39d33c9c9e6","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP1","notes":"In second grade, students realize that doing mathematics involves solving problems and discussing how they solved them. Students explain the meaning of a problem and look for ways to solve it. They may use concrete objects or pictures to help them conceptualize and solve problems. They may check their thinking by asking themselves, \u201cDoes this make sense?\u201d They make conjectures about the solution and plan out a problem-solving approach. Students work on increasing stamina.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:30:48+00:00"},{"identifier":"79387d1c-d981-11e9-b311-23a2227e671b","uri":"https://opensalt.net/uri/79387d1c-d981-11e9-b311-23a2227e671b","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP2","notes":"Students recognize that a number represents a specific quantity and connect the quantity to written symbols. Quantitative reasoning entails being able to explain through manipulatives or drawings what a problem means, while attending to the meanings of the quantities. Students make meaning of a problem situation and translate into a number sentence. Second graders begin to know and use different properties of operations and relate addition and subtraction.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:31:10+00:00"},{"identifier":"79389d92-d981-11e9-b568-29a925f6bc6c","uri":"https://opensalt.net/uri/79389d92-d981-11e9-b568-29a925f6bc6c","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP3","notes":"Second graders may construct arguments using concrete illustrations, such as objects, pictures, drawings, and actions. They practice their mathematical communication skills as they participate in mathematical discussions involving questions like, \u201cHow did you get that?\u201d Explain your thinking, \u201cWhy is that true?\u201d They not only explain their own thinking, but listen to others\u2019 explanations and compare strategies. They decide if the explanations make sense and ask appropriate questions for clarity.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:31:31+00:00"},{"identifier":"7938bc6e-d981-11e9-9c62-61afb573e60f","uri":"https://opensalt.net/uri/7938bc6e-d981-11e9-9c62-61afb573e60f","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP4","notes":"Students experiment with representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, making a chart or list, creating equations, etc. Students need opportunities to connect the different representations and explain the connections. They should be able to use all of these representations as needed.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:31:56+00:00"},{"identifier":"7938dbc2-d981-11e9-8c44-2df1b72d0dc4","uri":"https://opensalt.net/uri/7938dbc2-d981-11e9-8c44-2df1b72d0dc4","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP5","notes":"Students decide how and when to use the available tools appropriately and efficiently when solving a mathematical problem. Students reason whether or not a tool was helpful in solving the problem. For instance, second graders may decide to solve a problem by drawing a picture rather than writing an equation.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:32:21+00:00"},{"identifier":"7938fb34-d981-11e9-84c8-6d131a9d73b5","uri":"https://opensalt.net/uri/7938fb34-d981-11e9-84c8-6d131a9d73b5","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP6","notes":"Students begin to develop their mathematical communication skills, (orally and written) They use clear and precise mathematical language and symbols when explaining their own reasoning.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:32:39+00:00"},{"identifier":"79391aa6-d981-11e9-8459-1ffb64e24815","uri":"https://opensalt.net/uri/79391aa6-d981-11e9-8459-1ffb64e24815","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP7","notes":"Second graders look for patterns. For instance, they adopt mental math strategies based on patterns (making ten, fact families, doubles, adding and subtracting numbers by place, and equal shares). Their understanding of the number system develops into 3- and 4- digit numbers.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:32:56+00:00"},{"identifier":"793939f0-d981-11e9-8dcf-bb4d45d20af9","uri":"https://opensalt.net/uri/793939f0-d981-11e9-8dcf-bb4d45d20af9","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"2.MP8","notes":"Second grade students notice repetitive actions in counting and computation, etc. When children have multiple opportunities to add and subtract, they look for shortcuts, such as tens are added to tens, ones are added to ones, and sometimes the ones make a new ten. They also notice when a whole is shared into equal groups, the size of the share gets smaller the more shares.","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:33:12+00:00"},{"identifier":"b3506978-d982-11e9-bd15-8b6a0c44ea5c","uri":"https://opensalt.net/uri/b3506978-d982-11e9-bd15-8b6a0c44ea5c","fullStatement":"If the number of objects is even, then write an equation to express this as the sum of two equal addends.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.OA.C.3.A","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:38:18+00:00"},{"identifier":"be9963e8-d982-11e9-8d05-f7b926a27b4f","uri":"https://opensalt.net/uri/be9963e8-d982-11e9-8d05-f7b926a27b4f","fullStatement":"If the number of objects group is odd, then write an equation to express this as a sum of a near double (double plus 1).","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.OA.C.3.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-17T19:38:37+00:00"},{"identifier":"ebf2c8c0-d9af-11e9-a97f-9d9674f54674","uri":"https://opensalt.net/uri/ebf2c8c0-d9af-11e9-a97f-9d9674f54674","fullStatement":"Three-digit numbers can be decomposed in multiple ways (e.g. 524 can be decomposed as 5 hundreds, 2 tens and 4 ones or 4 hundreds, 12 tens, and 4 ones, etc.)","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.D.1.C","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:02:01+00:00"},{"identifier":"86700f5c-d9b0-11e9-8646-c991697f117f","uri":"https://opensalt.net/uri/86700f5c-d9b0-11e9-8646-c991697f117f","fullStatement":"Relate the strategy to a written method and explain the reasoning used.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.7.A","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:06:20+00:00"},{"identifier":"96cfd936-d9b0-11e9-bf2d-5b778660288f","uri":"https://opensalt.net/uri/96cfd936-d9b0-11e9-bf2d-5b778660288f","fullStatement":"Understand that in adding or subtracting three-digit numbers, add or subtract hundreds and hundreds, tens and tens, ones and ones.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.7.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:06:47+00:00"},{"identifier":"a94f756c-d9b0-11e9-82ac-3582e8b91f81","uri":"https://opensalt.net/uri/a94f756c-d9b0-11e9-82ac-3582e8b91f81","fullStatement":"Understand that sometimes it is necessary to compose or decompose tens or hundreds.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.7.C","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:07:18+00:00"},{"identifier":"ca978e4e-d9b0-11e9-9a07-dbd14dcb46a8","uri":"https://opensalt.net/uri/ca978e4e-d9b0-11e9-9a07-dbd14dcb46a8","fullStatement":"Add 10 or 100 to a given number 100-900, and","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.8.A","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:08:14+00:00"},{"identifier":"d9c88ac6-d9b0-11e9-8c10-d93e9c0d19ae","uri":"https://opensalt.net/uri/d9c88ac6-d9b0-11e9-8c10-d93e9c0d19ae","fullStatement":"Subtract 10 or 100 from a given number 100-900.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.NBT.E.8.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:08:40+00:00"},{"identifier":"1337ddd8-d9b2-11e9-9ba4-8972f54cdc01","uri":"https://opensalt.net/uri/1337ddd8-d9b2-11e9-9ba4-8972f54cdc01","fullStatement":"Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.I.10.A","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-21T11:29:27+00:00"},{"identifier":"24170fb6-d9b2-11e9-a3ef-f3fb23e76c05","uri":"https://opensalt.net/uri/24170fb6-d9b2-11e9-a3ef-f3fb23e76c05","fullStatement":"Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.I.10.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-21T11:29:45+00:00"},{"identifier":"83e76c7e-d9b2-11e9-8ebb-93e861bca4c2","uri":"https://opensalt.net/uri/83e76c7e-d9b2-11e9-8ebb-93e861bca4c2","fullStatement":"Describing the shares using the words halves, thirds, half of, a third of, etc.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.G.J.3.A","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:20:35+00:00"},{"identifier":"9a7c2b78-d9b2-11e9-85c5-41a1b7d80cc8","uri":"https://opensalt.net/uri/9a7c2b78-d9b2-11e9-85c5-41a1b7d80cc8","fullStatement":"Describing the whole as two halves, three thirds, four fourths.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.G.J.3.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:21:13+00:00"},{"identifier":"a801aca0-d9b2-11e9-814a-4b0a79b1ccc4","uri":"https://opensalt.net/uri/a801aca0-d9b2-11e9-814a-4b0a79b1ccc4","fullStatement":"Recognizing that equal shares of identical wholes need not have the same shape.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.G.J.3.C","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:21:35+00:00"},{"identifier":"733259ec-d9b3-11e9-a5f5-d5716cd92ec4","uri":"https://opensalt.net/uri/733259ec-d9b3-11e9-a5f5-d5716cd92ec4","fullStatement":"Represent whole-number sums and differences within 100 on a number line diagram.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.G.6.A","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:27:16+00:00"},{"identifier":"871c5020-d9b3-11e9-8b65-1de52974bd11","uri":"https://opensalt.net/uri/871c5020-d9b3-11e9-8b65-1de52974bd11","fullStatement":"Locate the multiple of 10 before and after a given number within 100.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"2.MD.G.6.B","language":"en","educationLevel":["02"],"lastChangeDateTime":"2019-09-18T01:27:50+00:00"},{"identifier":"048eaaee-dad1-11e9-b957-f338806e1175","uri":"https://opensalt.net/uri/048eaaee-dad1-11e9-b957-f338806e1175","fullStatement":"Standards for Mathematical Practice at Grade Level (3)","language":"en","educationLevel":["03"],"lastChangeDateTime":"2020-06-15T10:54:24+00:00"},{"identifier":"048f05d4-dad1-11e9-8cd7-c950c71ae63e","uri":"https://opensalt.net/uri/048f05d4-dad1-11e9-8cd7-c950c71ae63e","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP1","notes":"In third grade, students know that doing mathematics involves solving problems and discussing how they solved them. Students explain to themselves the meaning of a problem and look for ways to solve it. Third grade students may use concrete objects or pictures to help them conceptualize and solve problems. They may check their thinking by asking themselves, \u201cDoes this make sense? \u201cThey listen to the strategies of others and will try different approaches. They often will use another method to check their answers.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:35:01+00:00"},{"identifier":"048f249c-dad1-11e9-9af6-6738a83f6d38","uri":"https://opensalt.net/uri/048f249c-dad1-11e9-9af6-6738a83f6d38","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP2","notes":"Students recognize that a number represents a specific quantity. They connect the quantity to written symbols and create a logical representation of the problem at hand, considering both the appropriate units involved and the meaning of quantities.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:35:10+00:00"},{"identifier":"048f3f90-dad1-11e9-98a8-d5a8244caaa8","uri":"https://opensalt.net/uri/048f3f90-dad1-11e9-98a8-d5a8244caaa8","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP3","notes":"Students may construct arguments using concrete referents, such as objects, pictures, and drawings. They refine their mathematical communication skills as they participate in mathematical discussions involving questions such as, \u201cHow did you get that? and \u201cWhy is that true?\u201d They explain their thinking to others and respond to others\u2019 thinking.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:35:21+00:00"},{"identifier":"048f5aa2-dad1-11e9-b903-a51d602739ce","uri":"https://opensalt.net/uri/048f5aa2-dad1-11e9-b903-a51d602739ce","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP4","notes":"Students experiment with representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, acting out, making a chart, list, or graph, creating equations, etc. Students need opportunities to connect the different representations and explain the connections. They should be able to use all of these representations as needed. Students should evaluate their results in the context of the situation and reflect on whether the results make sense.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:35:31+00:00"},{"identifier":"048f75aa-dad1-11e9-9c46-efb733a2ac81","uri":"https://opensalt.net/uri/048f75aa-dad1-11e9-9c46-efb733a2ac81","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP5","notes":"Students consider the available tools (including estimation) when solving a mathematical problem and decide when certain tools might be helpful. For instance, they may use graph paper to find all the possible rectangles that have a given perimeter. They compile the possibilities into an organized list or a table, and determine whether they have all the possible rectangles.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:34:52+00:00"},{"identifier":"048f8f90-dad1-11e9-ae0f-b1e922d16298","uri":"https://opensalt.net/uri/048f8f90-dad1-11e9-ae0f-b1e922d16298","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP6","notes":"As students develop their mathematical communication skills, they try to use clear and precise language in their discussions with others and in their own reasoning. They are careful about specifying units of measure and state the meaning of the symbols they choose. For instance, when figuring out the area of a rectangle they record their answers in square units.","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:35:56+00:00"},{"identifier":"048fab42-dad1-11e9-a097-118fadab44b2","uri":"https://opensalt.net/uri/048fab42-dad1-11e9-a097-118fadab44b2","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP7","notes":"Students look closely to discover a pattern or structure. For example, students use properties of operations as strategies to multiply and divide (commutative and distributive properties).","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:36:20+00:00"},{"identifier":"048fc654-dad1-11e9-82fa-596ccee097c2","uri":"https://opensalt.net/uri/048fc654-dad1-11e9-82fa-596ccee097c2","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"3.MP8","notes":"Students notice repetitive actions in computation and look for shortcut methods. For example, students may use the distributive property as a strategy for using products they know to solve products that they don\u2019t know For example, if students are asked to find the product of 7 x 8, they might decompose 7 into 5 and 2 then multiply 5 x 8 and 2 x 8 to arrive at 40 + 16 or 56. In addition, third graders continually evaluate their work by asking themselves, \u201cDoes this make sense?\u201d","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:37:13+00:00"},{"identifier":"ae4d55a6-dad3-11e9-ba74-59c5966ce442","uri":"https://opensalt.net/uri/ae4d55a6-dad3-11e9-ba74-59c5966ce442","fullStatement":"Represent these problems using equations with a symbol standing for the unknown quantity.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.D.8.A","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:50:30+00:00"},{"identifier":"bf6287e4-dad3-11e9-b985-395db55c4bc5","uri":"https://opensalt.net/uri/bf6287e4-dad3-11e9-b985-395db55c4bc5","fullStatement":"Assess the reasonableness of answers using mental computation and estimation strategies including rounding.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"3.OA.D.8.B","language":"en","educationLevel":["03"],"lastChangeDateTime":"2019-09-19T11:50:59+00:00"},{"identifier":"732bb5f0-dafe-11e9-8207-c14d9f4d9de9","uri":"https://opensalt.net/uri/732bb5f0-dafe-11e9-8207-c14d9f4d9de9","fullStatement":"Standards for Mathematical Practice at Grade Level (4)","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T16:56:58+00:00"},{"identifier":"732c0d2a-dafe-11e9-8c4d-7946c528f489","uri":"https://opensalt.net/uri/732c0d2a-dafe-11e9-8c4d-7946c528f489","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP1","notes":"In grade four, students know that doing mathematics involves solving problems and discussing how they solved them. Students explain to themselves the meaning of a problem and look for ways to solve it. Third grade students may use concrete objects or pictures to help them conceptualize and solve problems. They may check their thinking by asking themselves, \u201cDoes this make sense? \u201cThey listen to the strategies of others and will try different approaches. They will often use another method to check their answers.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T16:58:11+00:00"},{"identifier":"732c2b66-dafe-11e9-be29-8bde3ec8291d","uri":"https://opensalt.net/uri/732c2b66-dafe-11e9-be29-8bde3ec8291d","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP2","notes":"Students recognize that a number represents a specific quantity. They connect the quantity to written symbols and create a logical representation of the problem at hand, considering both the appropriate units involved and the meaning of quantities. They extend this understanding from whole numbers to their work with fractions and decimals. Students write simple expressions, record calculations with numbers, and represent or round numbers using place value concepts.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T16:58:41+00:00"},{"identifier":"732c4678-dafe-11e9-a2c5-757a44aa1eee","uri":"https://opensalt.net/uri/732c4678-dafe-11e9-a2c5-757a44aa1eee","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP3","notes":"Students may construct arguments using concrete referents, such as objects, pictures, and drawings. They explain their thinking and make connections between models and equations. They refine their mathematical communication skills as they participate in mathematical discussions involving questions like, \u201cHow did you get that?\u201d and \u201cWhy is that true?\u201d They explain their thinking to others and respond to others\u2019 thinking.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T16:59:04+00:00"},{"identifier":"732c60d6-dafe-11e9-9bc5-95e9e472bd33","uri":"https://opensalt.net/uri/732c60d6-dafe-11e9-9bc5-95e9e472bd33","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP4","notes":"Students experiment with representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, acting out, making a chart, list, or graph, creating equations, etc. Students need opportunities to connect different representations and explain the connections. They should be able to use all of these representations as needed. Students should evaluate their results in the context of the situation and reflect on whether the results make sense.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T16:59:31+00:00"},{"identifier":"732c7b98-dafe-11e9-ba6f-af35c530e942","uri":"https://opensalt.net/uri/732c7b98-dafe-11e9-ba6f-af35c530e942","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP5","notes":"Students consider the available tools (including estimation) when solving a mathematical problem and decide when certain tools might be helpful. For instance, they may use graph paper or a number line to represent and compare decimals, they may use protractors to measure angles. They use other measurement tools to understand the relative size of units within a system and express measurements given in larger units in terms of smaller units.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T16:59:59+00:00"},{"identifier":"732c9600-dafe-11e9-b661-0b9ed9040b5f","uri":"https://opensalt.net/uri/732c9600-dafe-11e9-b661-0b9ed9040b5f","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP6","notes":"As students develop their mathematical communication skills, they try to use clear and precise language in their discussions with others and in their own reasoning. They are careful about specifying units of measure and stating the meaning of the symbols they choose. For instance, they use appropriate labels when creating a line plot.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:00:28+00:00"},{"identifier":"732caf96-dafe-11e9-beb9-9728a47de3f5","uri":"https://opensalt.net/uri/732caf96-dafe-11e9-beb9-9728a47de3f5","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP7","notes":"Students look closely to discover a pattern or structure. For instance, students use properties of operations to explain calculations (partial products model). They relate representations of counting problems such as tree diagrams and arrays to the multiplication principal of counting. They generate number or shape patterns that follow a given rule.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:00:54+00:00"},{"identifier":"732cca44-dafe-11e9-b40f-5d649da665f3","uri":"https://opensalt.net/uri/732cca44-dafe-11e9-b40f-5d649da665f3","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"4.MP8","notes":"Students notice repetitive actions in computation to make generalizations Students use models to explain calculations and understand how algorithms work. They also use models to examine patterns and generate their own algorithms. For example, students use visual fraction models to write equivalent fractions.","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:01:18+00:00"},{"identifier":"79a3acfc-daff-11e9-8ce2-a15550cb657b","uri":"https://opensalt.net/uri/79a3acfc-daff-11e9-8ce2-a15550cb657b","fullStatement":"Represent these problems using equations with a letter standing for the unknown quantity.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.OA.A.3.A","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:04:00+00:00"},{"identifier":"8ba42f26-daff-11e9-8447-a5f288254e88","uri":"https://opensalt.net/uri/8ba42f26-daff-11e9-8447-a5f288254e88","fullStatement":"Assess the reasonableness of answers using mental computation and estimation strategies including 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1-100.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.OA.B.4.A","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:06:07+00:00"},{"identifier":"d87ab0e0-daff-11e9-8194-f78af86632ea","uri":"https://opensalt.net/uri/d87ab0e0-daff-11e9-8194-f78af86632ea","fullStatement":"Recognize that a whole number is a multiple of each of its factors.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.OA.B.4.B","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:06:39+00:00"},{"identifier":"ed348eca-daff-11e9-a85c-1174a4d5ec21","uri":"https://opensalt.net/uri/ed348eca-daff-11e9-a85c-1174a4d5ec21","fullStatement":"Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit 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composite.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.OA.B.4.D","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:07:33+00:00"},{"identifier":"a8f24698-db00-11e9-a0dd-f75601d4d87c","uri":"https://opensalt.net/uri/a8f24698-db00-11e9-a0dd-f75601d4d87c","fullStatement":"Multiply a whole number of up to four digits by a one-digit whole number.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.E.5.A","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:12:29+00:00"},{"identifier":"b8c54188-db00-11e9-a148-9303bdd88c53","uri":"https://opensalt.net/uri/b8c54188-db00-11e9-a148-9303bdd88c53","fullStatement":"Multiply a pair of two-digit numbers.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.E.5.B","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-21T11:31:19+00:00"},{"identifier":"cdb3f2ce-db00-11e9-84ca-45b988e0975a","uri":"https://opensalt.net/uri/cdb3f2ce-db00-11e9-84ca-45b988e0975a","fullStatement":"Use appropriate models to explain the calculation, such as by using equations, rectangular arrays, and/or area models.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NBT.E.5.C","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:13:30+00:00"},{"identifier":"4a2db3f8-db01-11e9-80e9-bd3228dc191f","uri":"https://opensalt.net/uri/4a2db3f8-db01-11e9-80e9-bd3228dc191f","fullStatement":"Recognize that comparisons are valid only when the two fractions refer to the same whole.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.F.2.A","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:16:59+00:00"},{"identifier":"5ab17c46-db01-11e9-bfb2-553740c98613","uri":"https://opensalt.net/uri/5ab17c46-db01-11e9-bfb2-553740c98613","fullStatement":"Record the results of comparisons with symbols > , = , or < .","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.F.2.B","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:17:27+00:00"},{"identifier":"68b42186-db01-11e9-9cff-cbf9d21c9a0d","uri":"https://opensalt.net/uri/68b42186-db01-11e9-9cff-cbf9d21c9a0d","fullStatement":"Justify the conclusions by using a visual fraction model.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.NF.F.2.C","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:17:50+00:00"},{"identifier":"7de164ea-db03-11e9-9e21-fde9faae120c","uri":"https://opensalt.net/uri/7de164ea-db03-11e9-9e21-fde9faae120c","fullStatement":"Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"4.MD.K.5.A","language":"en","educationLevel":["04"],"lastChangeDateTime":"2019-09-19T17:32:45+00:00"},{"identifier":"ebd3e6cc-db11-11e9-9c99-ef457dc5f6b4","uri":"https://opensalt.net/uri/ebd3e6cc-db11-11e9-9c99-ef457dc5f6b4","fullStatement":"Standards for Mathematical Practice at Grade Level (5)","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:26:38+00:00"},{"identifier":"ebd44662-db11-11e9-9d55-3fbd5fd79a1d","uri":"https://opensalt.net/uri/ebd44662-db11-11e9-9d55-3fbd5fd79a1d","fullStatement":"Make sense of problems and persevere in solving them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP1","notes":"In grade five, students solve problems by applying their understanding of operations with whole numbers, decimals, and fractions including mixed numbers. They solve problems related to volume and measurement conversions. Students seek the meaning of a problem and look for efficient ways to represent and solve it. They may check their thinking by asking themselves, \u201cWhat is the most efficient way to solve the problem?\u201d, \u201cDoes this make sense?\u201d, and \u201cCan I solve the problem in a different way?\u201d.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:17:33+00:00"},{"identifier":"ebd46458-db11-11e9-95ec-df853b2efa4e","uri":"https://opensalt.net/uri/ebd46458-db11-11e9-95ec-df853b2efa4e","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP2","notes":"Students recognize that a number represents a specific quantity. They connect quantities to written symbols and create logical representation of the problem at hand, while considering both the appropriate units involved and the meaning of quantities. They extend this understanding from whole numbers to their work with fractions and decimals. Students write simple expressions that record calculations with numbers and represent or round numbers using place value concepts.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:18:05+00:00"},{"identifier":"ebd480c8-db11-11e9-80d9-4191f6e33dec","uri":"https://opensalt.net/uri/ebd480c8-db11-11e9-80d9-4191f6e33dec","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP3","notes":"Students may construct arguments using concrete referents, such as objects, pictures, and drawings. They explain calculations based upon models and properties of operations and rules that generate patterns. They demonstrate and explain the relationship between volume and multiplication. They refine their mathematical communication skills as they participate in mathematical discussions involving questions like, \u201cHow did you get that?\u201d and \u201cWhy is that true?\u201d They explain their thinking to others and respond to others\u2019 thinking.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:18:38+00:00"},{"identifier":"ebd49b44-db11-11e9-9c02-dde9127f9676","uri":"https://opensalt.net/uri/ebd49b44-db11-11e9-9c02-dde9127f9676","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP4","notes":"Students experiment with representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, making a chart, list, or graph, to create equations, etc. Students need opportunities to connect the different representations and explain the connections. They should be able to use all of these representations as needed. Fifth graders should evaluate their results in the context of the situation and whether the results make sense. They also evaluate the utility of models to determine which models are most useful and efficient to solve problems.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:19:08+00:00"},{"identifier":"ebd4b6ec-db11-11e9-9ee7-35eabb2057ad","uri":"https://opensalt.net/uri/ebd4b6ec-db11-11e9-9ee7-35eabb2057ad","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP5","notes":"Fifth graders consider the available tools, including estimation, when solving a mathematical problem and decide when certain tools might be helpful. For instance, they may use unit cubes to fill a rectangular prism and then use a ruler to measure the dimensions. They use graph paper to accurately create graphs and solve problems, or to make predictions from real world data.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:19:33+00:00"},{"identifier":"ebd4d0aa-db11-11e9-87aa-e7734317395f","uri":"https://opensalt.net/uri/ebd4d0aa-db11-11e9-87aa-e7734317395f","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP6","notes":"Students continue to refine their mathematical communication skills by using clear and precise language in their discussions with others and in their own reasoning. Students use appropriate terminology when referring to expressions, fractions, geometric figures, and coordinate grids. They are careful about specifying units of measure and state the meaning of the symbols they choose. For instance, when figuring out the volume of a rectangular prism, they record their answers in cubic units.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:20:04+00:00"},{"identifier":"ebd4ead6-db11-11e9-a4d3-63a363bc729c","uri":"https://opensalt.net/uri/ebd4ead6-db11-11e9-a4d3-63a363bc729c","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP7","notes":"Students look closely to discover a pattern or structure. For instance, students use properties of operations as strategies to add, subtract, multiply and divide with whole numbers, fractions, and decimals. They examine numerical patterns and relate them to a rule or a graphical representation.","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:20:25+00:00"},{"identifier":"ebd50534-db11-11e9-8085-898e2e3750b7","uri":"https://opensalt.net/uri/ebd50534-db11-11e9-8085-898e2e3750b7","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"5.MP8","notes":"Students use repeated reasoning to understand algorithms and make generalizations about patterns. Students connect place value and their prior work with operations to understand algorithms to fluently multiply multi-digit numbers and to perform all operations with decimals to hundredths. 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plane.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.OA.B.3.B","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:25:47+00:00"},{"identifier":"09d10e72-db15-11e9-8c12-39048d243fcf","uri":"https://opensalt.net/uri/09d10e72-db15-11e9-8c12-39048d243fcf","fullStatement":"Interpret multiplication in which both factors are fractions less than one and compute the product.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NF.F.4.C","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:38:21+00:00"},{"identifier":"607927ae-db16-11e9-bcc2-435a1e948ab6","uri":"https://opensalt.net/uri/607927ae-db16-11e9-bcc2-435a1e948ab6","fullStatement":"Explain why multiplying the numerator and denominator by the same number has the same effect as multiplying the fraction by 1.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.NF.F.5.D","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T19:49:26+00:00"},{"identifier":"93c34392-db16-11e9-992a-bb68c15f88e1","uri":"https://opensalt.net/uri/93c34392-db16-11e9-992a-bb68c15f88e1","fullStatement":"Explain why multiplying a given number by a fraction less than 1 results in a product smaller than the given 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coordinates.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.G.J.1.B","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T20:04:18+00:00"},{"identifier":"b82db828-db18-11e9-a253-7df1310029be","uri":"https://opensalt.net/uri/b82db828-db18-11e9-a253-7df1310029be","fullStatement":"The first number in an ordered pair is the x-coordinate and represents the horizontal distance from the origin.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"5.G.J.1.C","language":"en","educationLevel":["05"],"lastChangeDateTime":"2019-09-19T20:04:42+00:00"},{"identifier":"c80ebfe4-db18-11e9-b73d-951a4b45990c","uri":"https://opensalt.net/uri/c80ebfe4-db18-11e9-b73d-951a4b45990c","fullStatement":"The second number in an ordered pair is the y-coordinate and represents the vertical distance from the 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them.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"6.MP1","notes":"In grade 6, students solve problems involving ratios and rates and discuss (verbally or in writing) how they solve them. Students analyze the problem (including what is given, not given, and what is being asked), identify what strategies are needed, recognize multiple pathways to a solution, and make an initial attempt to solve the problem. Students analyze the result for validity and refine strategies if necessary.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:27:59+00:00"},{"identifier":"45b0f8b8-dbaa-11e9-9cd2-cf607ddc678f","uri":"https://opensalt.net/uri/45b0f8b8-dbaa-11e9-9cd2-cf607ddc678f","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"6.MP2","notes":"Students recognize a wide variety of real world contexts through the use of real numbers and variables in mathematical expressions, equations, and inequalities. 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They can interpret their mathematical results of problems involving non-negative rational numbers in the context of the situation and reflect on whether the results make sense.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:29:18+00:00"},{"identifier":"45b15506-dbaa-11e9-be9f-8b4b7ba50ccb","uri":"https://opensalt.net/uri/45b15506-dbaa-11e9-be9f-8b4b7ba50ccb","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"6.MP5","notes":"Students consider available tools (including estimation, concrete models, and technology), and decide when certain tools might be helpful. They choose the representation (table, graph, equation, words) that best suits the problem. Students use concrete models to develop insight into ratios and other concepts. 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Students define variables, including their relationship, specify units of measure, and label each axis accurately. Students use appropriate terminology when referring to rates, ratios, geometric figures, data displays, and components of expressions, equations or inequalities. Students use appropriate symbols, labels, and units of measure when solving problems with calculations that are accurate and efficient. 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Students identify complicated expressions or figures as compositions of simple parts.","language":"en","educationLevel":["06"],"lastChangeDateTime":"2019-09-20T13:30:58+00:00"},{"identifier":"45b1ab46-dbaa-11e9-9ea4-29953f1583b4","uri":"https://opensalt.net/uri/45b1ab46-dbaa-11e9-9ea4-29953f1583b4","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"6.MP8","notes":"Students use repeated reasoning to understand algorithms and make generalizations about patterns. They construct examples and models that confirm their generalization. They develop short cuts and check for reasonableness of answers. 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Students analyze the problem (including what is given, not given, and what is being asked), identify what strategies are needed, choose an appropriate pathway, then make an initial attempt to solve the problem. Students analyze the result for validity and refine strategies if necessary.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:06:31+00:00"},{"identifier":"815b2062-dbc0-11e9-9038-f7c1a9a56e4a","uri":"https://opensalt.net/uri/815b2062-dbc0-11e9-9038-f7c1a9a56e4a","fullStatement":"Reason abstractly and quantitatively.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP2","notes":"Students represent a wide variety of real world contexts through the use of real numbers and variables in mathematical expressions, equations, and inequalities. Students contextualize to understand the meaning of the number or variable as related to the problem and decontextualize to manipulate symbolic representations by applying properties of operations.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:06:57+00:00"},{"identifier":"815b3f7a-dbc0-11e9-943e-0b39bf494135","uri":"https://opensalt.net/uri/815b3f7a-dbc0-11e9-943e-0b39bf494135","fullStatement":"Construct viable arguments and critique the reasoning of others.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP3","notes":"Students construct arguments using verbal or written explanations that involve solving problems with rational numbers. They make conjectures, explore validity, reason mathematically, justify, evaluate their own thinking and the thinking of other students.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:07:22+00:00"},{"identifier":"815b5d52-dbc0-11e9-8bc0-3998381eb584","uri":"https://opensalt.net/uri/815b5d52-dbc0-11e9-8bc0-3998381eb584","fullStatement":"Model with mathematics.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP4","notes":"Students can clearly show their work by using diagrams, words, symbols or pictures. 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/or formulas. They can analyze those relationships mathematically to draw conclusions. They interpret their mathematical results of problems involving rational numbers in the context of the situation and reflect on whether the results make sense.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:07:51+00:00"},{"identifier":"815b7ada-dbc0-11e9-96ea-7b78bcf18aba","uri":"https://opensalt.net/uri/815b7ada-dbc0-11e9-96ea-7b78bcf18aba","fullStatement":"Use appropriate tools strategically.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP5","notes":"Students consider available tools (including estimation, concrete models, and technology as appropriate), and decide when certain tools might be helpful. Students develop more efficacy with technology. They choose the representation (table, graph, equation, words) that best suits the problem. Students use concrete models to develop insight into proportions and other concepts. Students then extend this insight to more abstract representations, including pictures and symbols. Students understand the limitations of each tool. Tools might include: integer tiles, algebra tiles, geometric nets, number lines, graphing technology, scientific calculator, paper and pencil, and others.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:08:26+00:00"},{"identifier":"815b9790-dbc0-11e9-8aac-affad655f174","uri":"https://opensalt.net/uri/815b9790-dbc0-11e9-8aac-affad655f174","fullStatement":"Attend to precision.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP6","notes":"Students continue to refine their mathematical communication skills by using clear and precise language in their discussions with others and in their own reasoning. Students define variables, including their relationship, specify units of measure, and label each axis accurately. Student use appropriate terminology when referring to rates, ratios, proportions, probability models, geometric figures, data displays, and components of expressions, equations or inequalities. Students use appropriate symbols, labels, and units of measure when solving problems with calculations that are accurate and efficient. Answer to the problem matches what was asked in the problem.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:09:03+00:00"},{"identifier":"815bb54a-dbc0-11e9-8653-b98cd7666ef7","uri":"https://opensalt.net/uri/815bb54a-dbc0-11e9-8653-b98cd7666ef7","fullStatement":"Look for and make use of structure.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP7","notes":"Students routinely seek patterns or structure to model and solve problems. They recognize that patterns exist in ratio tables and make connections with the constant of proportionality in a table and the slope of a graph. Students recognize patterns and identify and develop strategies for creating equivalent expressions. Students identify complicated expressions or figures as compositions of simple parts.","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T16:09:29+00:00"},{"identifier":"815bd318-dbc0-11e9-994b-27972eebde3c","uri":"https://opensalt.net/uri/815bd318-dbc0-11e9-994b-27972eebde3c","fullStatement":"Look for and express regularity in repeated reasoning.","CFItemType":"Standard","CFItemTypeURI":{"title":"Standard","identifier":"3de18277-9ce2-523b-a70d-e572220eab56","uri":"https://case.georgiastandards.org/uri/3de18277-9ce2-523b-a70d-e572220eab56"},"humanCodingScheme":"7.MP8","notes":"Students routinely seek patterns or structure to model and solve problems. They apply properties to solve problems based upon patterns they have identified. Students examine patterns to generate equations and describe relationships. Students simplify complicated expressions into simple terms. 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Graph the solution set on a number line and interpret its meaning.","CFItemType":"Benchmark","CFItemTypeURI":{"title":"Benchmark","identifier":"e23e0d08-8c31-11e7-aa0b-6d234b713d6c","uri":"https://satchelcommons.com/ims/case/v1p0/CFItemTypes/e23e0d08-8c31-11e7-aa0b-6d234b713d6c"},"humanCodingScheme":"7.EE.D.4.C","language":"en","educationLevel":["07"],"lastChangeDateTime":"2019-09-20T17:19:49+00:00"},{"identifier":"4fbe4892-dbcd-11e9-921a-15ed9f04d27e","uri":"https://opensalt.net/uri/4fbe4892-dbcd-11e9-921a-15ed9f04d27e","fullStatement":"Identify and justify the steps for solving multi-step linear equations and two-step linear 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