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Showing 1 - 8 of 8 Standards

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.

Standard Identifier: G-CO.11

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 parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

Standard Identifier: G-CO.9

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 lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.

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).

Standard Identifier: N-CN.9

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:
(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

Questions: Curriculum Frameworks and Instructional Resources Division | CFIRD@cde.ca.gov | 916-319-0881