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{ "value" : "Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.", "type" : "literal", "lang" : "en-US" }
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{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
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{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
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{ "value" : "Cluster", "type" : "literal", "lang" : "en-US" }
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{ "value" : "Generate and analyze patterns.", "type" : "literal", "lang" : "en-US" }
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{ "value" : "For example, given the rule \"Add 3\" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.", "type" : "literal", "lang" : "en-US" }
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{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
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{ "value" : "For example, express the calculation \"add 8 and 7, then multiply by 2\" as 2 \u00d7 (8 + 7). Recognize that 3 \u00d7 (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.", "type" : "literal", "lang" : "en-US" }
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{ "value" : "3.", "type" : "literal" }
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{ "value" : "Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.", "type" : "literal", "lang" : "en-US" }
],
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{ "value" : "For example, given the rule \"Add 3\" and the starting number 0, and given the rule \"Add 6\" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.", "type" : "literal", "lang" : "en-US" }
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{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/1", "type" : "uri" },
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/2", "type" : "uri" },
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/3", "type" : "uri" },
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/4", "type" : "uri" },
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/5", "type" : "uri" }
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"http://purl.org/dc/terms/subject" : [
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],
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"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
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"http://purl.org/dc/terms/isPartOf" : [
{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/authorityStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
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"http://purl.org/ASN/schema/core/indexingStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.1.G.A.2", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/ASN/schema/core/listID" : [
{ "value" : "2.", "type" : "literal" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/1", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/altStatementNotation" : [
{ "value" : "1.G.2", "type" : "literal" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Standard", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/ASN/schema/core/comment" : [
{ "value" : "Students do not need to learn formal names such as \"right rectangular prism.\"", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/1/G/A/2", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560722", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560725" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
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{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
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{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/indexingStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.1.G.A.3", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/ASN/schema/core/listID" : [
{ "value" : "3.", "type" : "literal" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/1", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/altStatementNotation" : [
{ "value" : "1.G.3", "type" : "literal" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Standard", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/1/G/A/3", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560722", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560726" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
],
"http://purl.org/dc/terms/isPartOf" : [
{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/authorityStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/indexingStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.2.G.A", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/2", "type" : "uri" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Cluster", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Reason with shapes and their attributes.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/2/G/A", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/hasChild" : [
{ "value" : "http://asn.jesandco.org/resources/S2560727", "type" : "uri" },
{ "value" : "http://asn.jesandco.org/resources/S2560728", "type" : "uri" },
{ "value" : "http://asn.jesandco.org/resources/S2560729", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560713", "type" : "uri" }
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},
"http://asn.jesandco.org/resources/S2560727" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
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{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
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{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
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{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.2.G.A.1", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/ASN/schema/core/listID" : [
{ "value" : "1.", "type" : "literal" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/2", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/altStatementNotation" : [
{ "value" : "2.G.1", "type" : "literal" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Standard", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/ASN/schema/core/comment" : [
{ "value" : "Sizes are compared directly or visually, not compared by measuring.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/2/G/A/1", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560726", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560728" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
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{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
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{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
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{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
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{ "value" : "CCSS.Math.Content.2.G.A.2", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/ASN/schema/core/listID" : [
{ "value" : "2.", "type" : "literal" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/2", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/altStatementNotation" : [
{ "value" : "2.G.2", "type" : "literal" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Standard", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Partition a rectangle into rows and columns of same-size squares and count to find the total number of them.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/2/G/A/2", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560726", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560729" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
],
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{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/authorityStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/indexingStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.2.G.A.3", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/ASN/schema/core/listID" : [
{ "value" : "3.", "type" : "literal" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/2", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/altStatementNotation" : [
{ "value" : "2.G.3", "type" : "literal" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Standard", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/2/G/A/3", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560726", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560730" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
],
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],
"http://purl.org/ASN/schema/core/authorityStatus" : [
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],
"http://purl.org/ASN/schema/core/indexingStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.3.G.A", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/3", "type" : "uri" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Cluster", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Reason with shapes and their attributes.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/3/G/A", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/hasChild" : [
{ "value" : "http://asn.jesandco.org/resources/S2560731", "type" : "uri" },
{ "value" : "http://asn.jesandco.org/resources/S2560732", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560713", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560731" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
],
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{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/authorityStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNAuthorityStatus/Derived", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/indexingStatus" : [
{ "value" : "http://purl.org/ASN/scheme/ASNIndexingStatus/Yes", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementNotation" : [
{ "value" : "CCSS.Math.Content.3.G.A.1", "type" : "literal" }
],
"http://purl.org/dc/terms/created" : [
{ "value" : "2010-07-12", "type" : "literal", "datatype" : "http://purl.org/dc/terms/W3CDTF" }
],
"http://purl.org/ASN/schema/core/listID" : [
{ "value" : "1.", "type" : "literal" }
],
"http://purl.org/dc/terms/creator" : [
{ "value" : "http://purl.org/ASN/scheme/ASNJurisdiction/AR", "type" : "uri" }
],
"http://purl.org/dc/terms/educationLevel" : [
{ "value" : "http://purl.org/ASN/scheme/ASNEducationLevel/3", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/altStatementNotation" : [
{ "value" : "3.G.1", "type" : "literal" }
],
"http://purl.org/dc/terms/subject" : [
{ "value" : "http://purl.org/ASN/scheme/ASNTopic/math", "type" : "uri" }
],
"http://purl.org/ASN/schema/core/statementLabel" : [
{ "value" : "Standard", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/description" : [
{ "value" : "Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.", "type" : "literal", "lang" : "en-US" }
],
"http://purl.org/dc/terms/language" : [
{ "value" : "http://id.loc.gov/vocabulary/iso639-2/eng", "type" : "uri" }
],
"http://www.w3.org/2004/02/skos/core#exactMatch" : [
{ "value" : "http://corestandards.org/Math/Content/3/G/A/1", "type" : "uri" }
],
"http://purl.org/gem/qualifiers/isChildOf" : [
{ "value" : "http://asn.jesandco.org/resources/S2560730", "type" : "uri" }
]
},
"http://asn.jesandco.org/resources/S2560732" : {
"http://www.w3.org/1999/02/22-rdf-syntax-ns#type" : [
{ "value" : "http://purl.org/ASN/schema/core/Statement", "type" : "uri" }
],
"http://purl.org/dc/terms/isPartOf" : [
{ "value" : "http://asn.jesandco.org/resources/D2560516", "type" : "uri" }
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}