•Midterm: Wednesday
Topic: Periodic Functions & Trig
Aim: How can we graph from a function rule?

•Do Now: What is the amplitude of the function y = ½ sin 2Θ?

•Graphing from a function rule

•y = 2 sin 2Θ

•Step 1: Find the amplitude and the number of cycles and period

•|a| = | 2 | = 2 and b = 2, so it cycles 2 times from 0 to 2π. The period = 2π/b = 2π/2 = π.

•Step 2: Divide the period into fourths. Identify Θ values for the five point pattern. π÷4 = π/4.  The x values (input) is 0, π/4, π/2, 3π/4 and π.

•Step 3: Sketch the graph

•The graph

•Got it? #5 a, b

•What is the graph of one cycle of each sine function?

•A. y = 1.5 sin 2Θ

•B. y = 3 sin π/2 Θ

•Lesson check

•Do you know HOW?

•Handout #1,2

•Do you UNDERSTAND?

•#3, 4, 5

•Exit slip

•Sketch one cycle of the sine curve that has amplitude 2 and period π/2.