California Standards

Introduction to Functions

Points, Lines, and Equations

Absolute Value with Linear Functions

Translating and Scaling Functions

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

General Form of a Rational Function

Introduction to Functions

Radical Functions

Rational Functions

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

F-IF.7.a: Graph linear and quadratic functions and show intercepts, maxima, and minima.

Linear Functions

Points, Lines, and Equations

Quadratics in Factored Form

Quadratics in Polynomial Form

Quadratics in Vertex Form

Slope-Intercept Form of a Line

Zap It! Game

F-IF.7.b: Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Absolute Value with Linear Functions

Radical Functions

F-IF.7.c: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Graphs of Polynomial Functions

Polynomials and Linear Factors

Quadratics in Factored Form

Quadratics in Vertex Form

Roots of a Quadratic

Zap It! Game

F-IF.7.d: Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

General Form of a Rational Function

Rational Functions

F-IF.7.e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

Cosine Function

Exponential Functions

Exponential Growth and Decay

Logarithmic Functions

Logarithmic Functions: Translating and Scaling

Sine Function

Tangent Function

F-IF.8.a: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

F-BF.1.a: Determine an explicit expression, a recursive process, or steps for calculation from a context.

Arithmetic Sequences

Geometric Sequences

Arithmetic Sequences

Geometric Sequences

Exponential Functions

Logarithmic Functions

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Zap It! Game

F-BF.4.b: Verify by composition that one function is the inverse of another.

F-BF.4.c: Read values of an inverse function from a graph or a table, given that the function has an inverse.

F-LE.1.a: Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

Compound Interest

Linear Functions

F-LE.1.b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

Arithmetic Sequences

Compound Interest

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Linear Functions

F-LE.1.c: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

Drug Dosage

Exponential Growth and Decay

Half-life

Compound Interest

Exponential Functions

Exponential Growth and Decay

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Compound Interest

Logarithmic Functions

Arithmetic Sequences

Compound Interest

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

Exponential Growth and Decay

Cosine Function

Sine Function

Tangent Function

F-TF.2.1: Graph all 6 basic trigonometric functions.

Cosine Function

Sine Function

Tangent Function

Translating and Scaling Functions

Translating and Scaling Sine and Cosine Functions

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

Correlation last revised: 9/16/2020