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Showing 11 - 20 of 21 Standards

Standard Identifier: G-SRT.4

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]

Standard:
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally and conversely; the Pythagorean Theorem proved using triangle similarity.

Standard Identifier: G-SRT.5

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Prove theorems involving similarity. [Focus on validity of underlying reasoning while using variety of formats.]

Standard:
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Standard Identifier: G-SRT.6

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
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.

Standard Identifier: G-SRT.7

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Explain and use the relationship between the sine and cosine of complementary angles.

Standard Identifier: G-SRT.8

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. *

Standard Identifier: G-SRT.8.1

Grade Range: 8–12
Domain: Similarity, Right Triangles, and Trigonometry
Discipline: Math II
Conceptual Category: Geometry

Cluster:
Define trigonometric ratios and solve problems involving right triangles.

Standard:
Derive and use the trigonometric ratios for special right triangles (30°, 60°, 90°and 45°, 45°, 90°). CA

Standard Identifier: N-CN.1

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]

Standard:
Know there is a complex number i such that i^2 = −1, and every complex number has the form a + bi with a and b real.

Standard Identifier: N-CN.2

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Perform arithmetic operations with complex numbers. [i^2 as highest power of i]

Standard:
Use the relation i^2 = −1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

Standard Identifier: N-CN.7

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
Solve quadratic equations with real coefficients that have complex solutions.

Standard Identifier: N-CN.8

Grade Range: 8–12
Domain: The Complex Number System
Discipline: Math II
Conceptual Category: Number and Quantity

Cluster:
Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]

Standard:
(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i).

Showing 11 - 20 of 21 Standards


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