Search the California Content Standards

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.

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Define trigonometric ratios and solve problems involving right triangles.

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

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Define trigonometric ratios and solve problems involving right triangles.

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

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Define trigonometric ratios and solve problems involving right triangles.

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

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Interpret the structure of expressions. [Polynomial and rational]

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Interpret expressions that represent a quantity in terms of its context. * Interpret parts of an expression, such as terms, factors, and coefficients. *

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Interpret the structure of expressions. [Polynomial and rational]

Standard:
Interpret expressions that represent a quantity in terms of its context. * Interpret complicated expressions by viewing one or more of their parts as a single entity. *

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Interpret the structure of expressions. [Polynomial and rational]

Standard:
Use the structure of an expression to identify ways to rewrite it.

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Write expressions in equivalent forms to solve problems.

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Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.*

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Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]

Standard:
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. *

Cluster:
Interpret functions that arise in applications in terms of the context. [Include rational, square root and cube root; emphasize selection of appropriate models.]

Standard:
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. *