Section 4.4 - Graphs of Sine and Cosine: Sinusoids

Essential Question(s): 

Explain the parts of a sinusoid.

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Follow these three steps to complete this "flip" lesson.

STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).

STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.

The Basic Waves Revisited

• Review the sine and cosine function from the twelve basic function lesson. (pg 384 & 386)

Sinusoids and Transformations

• What is a sinusoid? (g 386)
• What is the amplitude of a sinusoid? (pg 386)
• How can you determine the amplitude? (Ex 1 pg 387)
• What is the period of a sinusoid? (pg 387)
• How can you determine the period? (Ex 2 pg 387)
• What is the frequency of a sinusoid? (pg 388)
• How do you find the frequency? (Ex 3 pg 388)
• What is a phase shift? (pg 388)
• How can you rewrite one functions as a phase shift of another? (Ex 4 pg 388)
• How can you calculate a sinusoid using phase shifts? (Ex 5 pg 389)
• What is the summary of  items of the graphs of sinusoids? (pg 389)
• How can you calculate a sinusoid by transformations? (Ex 6 pg 389)

Modeling Periodic Behavior with Sinusoids

• What are the steps to deriving a sinusoidal model using time? (pg 390)
• How can you apply the sinusoidal model procedure? (Ex 7 pg 391)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

• Read pages 384 - 391.
• Make sure to read the paragraphs between the examples.

Trig Graph Vocabulary

Practice

Phase Shift

Graphing Sinusoid Steps

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