Mathematics Standards
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Arithmetic with Polynomials and Rational Expressions
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Modeling with Geometry
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Ratios and Proportional Relationships
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Similarity, Right Triangles, and Trigonometry
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Showing 11 - 20 of 60 Standards
Standard Identifier: 7.RP.2.d
Grade:
7
Domain:
Ratios and Proportional Relationships
Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Recognize and represent proportional relationships between quantities. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Recognize and represent proportional relationships between quantities. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
Standard Identifier: 7.RP.3
Grade:
7
Domain:
Ratios and Proportional Relationships
Cluster:
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard:
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
Standard Identifier: A-APR.1
Grade Range:
7–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Algebra I
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Linear and quadratic]
Standard:
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.
Perform arithmetic operations on polynomials. [Linear and quadratic]
Standard:
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.
Standard Identifier: A-APR.1
Grade Range:
8–12
Domain:
Arithmetic with Polynomials and Rational Expressions
Discipline:
Math II
Conceptual Category:
Algebra
Cluster:
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]
Standard:
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.
Perform arithmetic operations on polynomials. [Polynomials that simplify to quadratics]
Standard:
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.
Standard Identifier: G-MG.1
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *
Apply geometric concepts in modeling situations.
Standard:
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder). *
Standard Identifier: G-MG.2
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *
Apply geometric concepts in modeling situations.
Standard:
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot). *
Standard Identifier: G-MG.3
Grade Range:
8–12
Domain:
Modeling with Geometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
Apply geometric concepts in modeling situations.
Standard:
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios). *
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Math II
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.a
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
Standard Identifier: G-SRT.1.b
Grade Range:
8–12
Domain:
Similarity, Right Triangles, and Trigonometry
Discipline:
Geometry
Conceptual Category:
Geometry
Cluster:
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Understand similarity in terms of similarity transformations.
Standard:
Verify experimentally the properties of dilations given by a center and a scale factor: The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
Showing 11 - 20 of 60 Standards
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