Graphing Trig Functions

9th GradeMath45 min

Learning Objective

I can graph trigonometric functions and identify key features such as amplitude and period.

Lesson Flow

Watch Video

10 min

Graphing trig functions

Khan Academy

Guided Notes

9 min

Key concepts students will learn:

  • The amplitude of the function f(x) = 2sin(½x) is 2, which means the function oscillates between y = 2 and y = -2.

  • The general form of a sine function is f(x) = A sin((2π/P)x), where A is the amplitude and P is the period.

  • Given the graph of a trigonometric function, the period can be determined by measuring the horizontal distance it takes for the function to complete one cycle, and the amplitude is how much it swings in the positive or negative direction.

Practice

14 min

8 questions • Multiple choice & Short answer

Exit Ticket

5 min

The equation for a sine function is f(x) = A sin(Bx), where A is the amplitude and the period is 2π/B. For the function f(x) = 3 sin(½x), what is the amplitude and what is the period?

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts

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