High School Math - Functions

High School Math - Functions

Mar 26, 2024 11:19 PM


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.

Learning Resources