I can graph the sine function Warm Up

Homework vs Grade Tests Learning Homework Targets Final Grade 67% 76% 56% C D

Periodic Functions Periodic Function: A continuing function with x and y values that repeat

Periodic Functions Real-World examples - A day (24 hours long, repeats) - The path

The Screamer The newest ride at a local amusement park is The Screamer. It

0 The Screamer 10 10000 1 0 0 1 70. 71 50 25. 88

Periodic Functions Vocabulary Period: The horizontal length of one complete repetition of the pattern

Periodic Functions Vocabulary Midline: the horizontal axis about which the periodic function oscillates Midline

Periodic Functions Vocabulary Amplitude: distance from the midline to the max/min of the periodic

Rationalizing the Denominator What is a rational number? What is an irrational number? What

Rationalizing the Denominator Steps • 1) Multiply the top and bottom by radical in

Rationalizing the Denominator Steps 1) Multiply the top and bottom by radical in the

Review Practice 10 minutes Check your answers on the back table

Textbook: 8 -5 through 8 -11 Anything not finished is homework

Slides: 22

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I can graph the sine function Warm Up 15 Hint: SOHCAHTOA

Warm Up

Warm Up 15

Homework vs Grade Tests Learning Homework Targets Final Grade 67% 76% 56% C D 66% 79% 43% D C 64% 75% 71% 83% 96% 100% 74% 89% 38% C D B A B C

Periodic Functions Periodic Function: A continuing function with x and y values that repeat periodically

Periodic Functions Real-World examples - A day (24 hours long, repeats) - The path of the earth as it circles the sun - Tides

The Screamer The newest ride at a local amusement park is The Screamer. It is an enormous wheel with a radius of 100 feet. Half of the wheel is below ground level, in a very dark, murky pit with water at the bottom. As The Screamer rotates at dizzying speeds, riders fly up into the air before plunging downward through blasts of freezing air, hair-raising screams, and sticky spider webs into the pit where they splash through the dark, eerie water on their way back above ground. The ride rotates 15° to load and unload the next set of riders.

The Screamer

0 The Screamer 10 10000 1 0 0 1 70. 71 50 25. 88 Degree Height 0 25. 88 50 70. 71 86. 60 96. 59 100

Sine Function – Complete the Table •

Sine Function - Graph

Periodic Functions Vocabulary Period: The horizontal length of one complete repetition of the pattern of the function Period

Periodic Functions Vocabulary Midline: the horizontal axis about which the periodic function oscillates Midline

Periodic Functions Vocabulary Amplitude: distance from the midline to the max/min of the periodic function Amplitude

Break!

Rationalizing the Denominator What is a rational number? What is an irrational number? What is a denominator? What does it mean to rationalize the denominator?

Rationalizing the Denominator Steps • 1) Multiply the top and bottom by radical in the denominator

Rationalizing the Denominator Steps 1) Multiply the top and bottom by radical in the denominator 2) Reduce •

Review Practice 10 minutes Check your answers on the back table

Textbook: 8 -5 through 8 -11 Anything not finished is homework

Unit Circle