Topics

`F-IF` Interpreting Functions

Learning objectives:

Understand the concept of a function and use function notation

Students will understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

Interpret functions that arise in applications in terms of the context

Students will calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval.

`F-BF` Building Functions

Learning objectives:

Build a function that models a relationship between two quantities

Students will write a function that describes a relationship between two quantities.

Build new functions from existing functions

Students will combine standard function types using arithmetic operations.

`F-LE` Linear, Quadratic, and Exponential Models

Learning objectives:

Construct and compare linear, quadratic, and exponential models and solve problems

Students will construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs.

Interpret expressions for functions in terms of the situation they model

Students will interpret the parameters in a linear or exponential function in terms of a context.

`F-TF` Trigonometric Functions

Learning objectives:

Understand the concept of a unit circle and develop trigonometric functions

Students will understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Extend domain of trigonometric functions using the unit circle

Students will use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π+x, and 2π–x in terms of their values for x, where x is any real number.