CHAPTER 6
SINUSOIDAL FUNCTIONS
Homework Solutions (Click the link on the left and enter classroom #)
✅ DAY 1 - Trig Identities I
LEARNING GOAL: I will learn how to prove trig identities.
SUCCESS CRITERIA: I can prove that 1 + cot^2q = csc^2q.
PRACTICE: Text p.310 #2, 3, 4, 5
HANDOUTS
SUCCESS CRITERIA: I can prove that 1 + cot^2q = csc^2q.
PRACTICE: Text p.310 #2, 3, 4, 5
HANDOUTS
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✅ DAY 2 - Trig Identities II
LEARNING GOAL: I am learning how to prove trig identities.
SUCCESS CRITERIA: I can prove the following identity:
sin^2 θ + cos^4 θ = cos^2 θ + sin^4 θ
PRACTICE: Text p.310 #7, 8, 10, 11
HANDOUTS
SUCCESS CRITERIA: I can prove the following identity:
sin^2 θ + cos^4 θ = cos^2 θ + sin^4 θ
PRACTICE: Text p.310 #7, 8, 10, 11
HANDOUTS
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DAY 3 - PERIODIC FUNCTIONS
LEARNING GOAL: I am learning the properties of periodic functions.
SUCCESS CRITERIA: I can determine the properties of key properties of real life phenomena.
PRACTICE: Text p.352 #1-10
HANDOUTS
SUCCESS CRITERIA: I can determine the properties of key properties of real life phenomena.
PRACTICE: Text p.352 #1-10
HANDOUTS
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Why does the ISS travel in a sine wave instead of a straight line over the surface of the Earth?
Animation
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✅ DAY 4 (Dec9) GRAPHING SINX AND COSX
LEARNING GOAL:
I am learning:
- how to graph sinx and cosx
- and determine their key properties.
SUCCESS CRITERIA:
I can:
- graph sinx and cosx
- determine similarities and differences between the two graphs.
- identify key features: amplitude, period, axis of the curve, max, min, domain and range
PRACTICE: Text p.364 #12
HANDOUTS
I am learning:
- how to graph sinx and cosx
- and determine their key properties.
SUCCESS CRITERIA:
I can:
- graph sinx and cosx
- determine similarities and differences between the two graphs.
- identify key features: amplitude, period, axis of the curve, max, min, domain and range
PRACTICE: Text p.364 #12
HANDOUTS
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✅ DAY 5 (Dec10) TRANSFORMATIONS I
LEARNING GOAL:
I am investigating the vertical and horizontal stretches/compressions of sinusoidal functions: sinx and cosx.
SUCCESS CRITERIA:
I can determine the effects of a and k on the parent function sinx and cosx.
PRACTICE: Text p.379 1acd, 2bcef
HANDOUTS
I am investigating the vertical and horizontal stretches/compressions of sinusoidal functions: sinx and cosx.
SUCCESS CRITERIA:
I can determine the effects of a and k on the parent function sinx and cosx.
PRACTICE: Text p.379 1acd, 2bcef
HANDOUTS
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✅ DAY 6 (Dec10) TRANSFORMATIONS II
LEARNING GOAL:
I am investigating the veritcal and horizontal translations of sinusoidal functions: sinx and cosx.
SUCCESS CRITERIA:
I can determine the effects of d and c on the parent function sinx and cosx.
PRACTICE:
p.384 #4cef, 5, 6df, 7ce, 9, 10a
p.391 #3, 6b, 7
HANDOUTS
I am investigating the veritcal and horizontal translations of sinusoidal functions: sinx and cosx.
SUCCESS CRITERIA:
I can determine the effects of d and c on the parent function sinx and cosx.
PRACTICE:
p.384 #4cef, 5, 6df, 7ce, 9, 10a
p.391 #3, 6b, 7
HANDOUTS
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DAY 7 (Dec11) DETERMINING THE EQUATIONS
GO to --> kahoot.it
Desmos
LEARNING GOAL:
I am learning how to determine equation(s) from a graph of sinusoidal functions.
SUCCESS CRITERIA:
I can determine an equation of sin and cos from a graph.
PRACTICE:
p.384 #4cef, 5, 6df, 7ce, 9, 10a
p.391 #3, 6b, 7
HANDOUTS
I am learning how to determine equation(s) from a graph of sinusoidal functions.
SUCCESS CRITERIA:
I can determine an equation of sin and cos from a graph.
PRACTICE:
p.384 #4cef, 5, 6df, 7ce, 9, 10a
p.391 #3, 6b, 7
HANDOUTS
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DAY 8: APPLICATIONS OF SINUSOIDAL FUNCTIONS
LEARNING GOAL:
I am learning how to solve word problems of sinusoidal functions.
SUCCESS CRITERIA:
I can solve word problems of sinusoidal functions.
PRACTICE:
p.398 #1-10
HANDOUTS
I am learning how to solve word problems of sinusoidal functions.
SUCCESS CRITERIA:
I can solve word problems of sinusoidal functions.
PRACTICE:
p.398 #1-10
HANDOUTS
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DAY 9 & 10: UNIT REVIEW
p.404 #2-4, 6, 8-10, 12-14
p.406 # 2, 4
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May 26
DAY 10: UNIT TEST
HAPPY HOLIDAYS