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Showing 1 - 10 of 85 Standards

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.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: N-RN.1

Grade Range: 7–12
Domain: The Real Number System
Discipline: Algebra I
Conceptual Category: Number and Quantity

Cluster:
Extend the properties of exponents to rational exponents.

Standard:
Explain how the definition of the meaning 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. For example, we define 5^1/3 to be the cube root of 5 because we want (5^1/3)^3 = 5(^1/3)^3 to hold, so (5^1/3)^3 must equal 5.

Standard Identifier: N-RN.2

Grade Range: 7–12
Domain: The Real Number System
Discipline: Algebra I
Conceptual Category: Number and Quantity

Cluster:
Extend the properties of exponents to rational exponents.

Standard:
Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Standard Identifier: N-RN.3

Grade Range: 7–12
Domain: The Real Number System
Discipline: Algebra I
Conceptual Category: Number and Quantity

Cluster:
Use properties of rational and irrational numbers.

Standard:
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.

Standard Identifier: F-TF.8

Grade Range: 8–12
Domain: Trigonometric Functions
Discipline: Math II
Conceptual Category: Functions

Cluster:
Prove and apply trigonometric identities.

Standard:
Prove the Pythagorean identity sin^2(θ ) + cos^2(θ ) = 1 and use it to find sin(θ ), cos(θ ), or tan(θ ) given sin(θ ), cos(θ ), or tan(θ ) and the quadrant of the angle.

Standard Identifier: G-CO.1

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Experiment with transformations in the plane.

Standard:
Know 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.

Standard Identifier: G-CO.10

Grade Range: 8–12
Domain: Congruence
Discipline: Geometry
Conceptual Category: Geometry

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

Standard Identifier: G-CO.10

Grade Range: 8–12
Domain: Congruence
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Prove geometric theorems. [Focus on validity of underlying reasoning while using variety of ways of writing proofs.]

Standard:
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

Showing 1 - 10 of 85 Standards


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