Mathematics Standards
Remove this criterion from the search Add a Domain Remove this criterion from the search Expressing Geometric Properties with Equations Remove this criterion from the search Geometric Measurement and Dimension Remove this criterion from the search Modeling with Geometry Remove this criterion from the search Quantities
Additional information about the Standards below:
- * Indicates a modeling standard linking mathematics to everyday life, work, and decision-making.
- (+) Indicates additional mathematics to prepare students for advanced courses.
- Some standards are repeated in multiple higher mathematics courses; therefore instructional notes, which appear in brackets, indicate what is appropriate for study in this particular course.
- Standards with California additions appear with a "CA" notation at the end.
- Standards for Mathematical Practice
- These Standards were approved by the CA State Board of Education in 2010, and updated in 2013.
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Showing 1 - 10 of 37 Standards
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Standard Identifier: G-GPE.4
Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
Conceptual Category: Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).
Standard Identifier: G-GPE.5
Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
Conceptual Category: Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Standard Identifier: G-GPE.7
Grade Range: 7–12
Domain: Expressing Geometric Properties with Equations
Discipline: Math I
Conceptual Category: Geometry
Cluster:
Use coordinates to prove simple geometric theorems algebraically. [Include distance formula; relate to Pythagorean Theorem.]
Standard:
Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. *
Standard Identifier: N-Q.1
Grade Range: 7–12
Domain: Quantities
Discipline: Math I
Conceptual Category: Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
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. *
Standard Identifier: N-Q.1
Grade Range: 7–12
Domain: Quantities
Discipline: Algebra I
Conceptual Category: Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
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.*
Standard Identifier: N-Q.2
Grade Range: 7–12
Domain: Quantities
Discipline: Algebra I
Conceptual Category: Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling.*
Standard Identifier: N-Q.2
Grade Range: 7–12
Domain: Quantities
Discipline: Math I
Conceptual Category: Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Define appropriate quantities for the purpose of descriptive modeling. *
Standard Identifier: N-Q.3
Grade Range: 7–12
Domain: Quantities
Discipline: Math I
Conceptual Category: Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations, and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. *
Standard Identifier: N-Q.3
Grade Range: 7–12
Domain: Quantities
Discipline: Algebra I
Conceptual Category: Number and Quantity
Cluster:
Reason quantitatively and use units to solve problems. [Foundation for work with expressions, equations and functions]
Standard:
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.*
Standard Identifier: G-GMD.1
Grade Range: 8–12
Domain: Geometric Measurement and Dimension
Discipline: Geometry
Conceptual Category: Geometry
Cluster:
Explain volume formulas and use them to solve problems.
Standard:
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’s principle, and informal limit arguments.
Showing 1 - 10 of 37 Standards
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