Search the California Content Standards

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Graph all 6 basic trigonometric functions. CA

Cluster:
Extend the domain of trigonometric functions using the unit circle.

Standard:
Graph all 6 basic trigonometric functions. CA

Cluster:
Model periodic phenomena with trigonometric functions.

Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *

Cluster:
Model periodic phenomena with trigonometric functions.

Standard:
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. *

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.

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). *

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. *

Cluster:
Understand independence and conditional probability and use them to interpret data.

Standard:
Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B. *