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Unit: Trigonometry

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Unit circle introduction

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Unit circle
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The trig functions & right triangle trig ratios
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Trig unit circle review
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Practice
Unit circleGet 3 of 4 questions to level up!

Radians

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Intro to radians
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Radians & degrees
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Degrees to radians
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Radians to degrees
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Radian angles & quadrants
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Practice
Radians & degreesGet 3 of 4 questions to level up!
Unit circle (with radians)Get 3 of 4 questions to level up!

The Pythagorean identity

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Proof of the Pythagorean trig identity
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Using the Pythagorean trig identity
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Pythagorean identity review
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Practice
Use the Pythagorean identityGet 3 of 4 questions to level up!

Trigonometric values of special angles

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Trig values of special angles
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Practice
Trig values of special anglesGet 3 of 4 questions to level up!

Quiz 1

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Graphs of sin(x), cos(x), and tan(x)

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Graph of y=sin(x)
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Intersection points of y=sin(x) and y=cos(x)
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Graph of y=tan(x)
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Amplitude, midline and period

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Features of sinusoidal functions
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Midline, amplitude, and period review
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Practice
Midline of sinusoidal functions from graphGet 3 of 4 questions to level up!
Amplitude of sinusoidal functions from graphGet 3 of 4 questions to level up!
Period of sinusoidal functions from graphGet 3 of 4 questions to level up!

Transforming sinusoidal graphs

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Amplitude & period of sinusoidal functions from equation
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Transforming sinusoidal graphs: vertical stretch & horizontal reflection
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Transforming sinusoidal graphs: vertical & horizontal stretches
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Practice
Amplitude of sinusoidal functions from equationGet 3 of 4 questions to level up!
Midline of sinusoidal functions from equationGet 3 of 4 questions to level up!
Period of sinusoidal functions from equationGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 600 Mastery points

Graphing sinusoidal functions

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Sinusoidal function from graph
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Practice
Graph sinusoidal functionsGet 3 of 4 questions to level up!
Construct sinusoidal functionsGet 3 of 4 questions to level up!
Graph sinusoidal functions: phase shiftGet 3 of 4 questions to level up!

Sinusoidal models

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Interpreting trigonometric graphs in context
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Trig word problem: modeling daily temperature
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Trig word problem: modeling annual temperature
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Trig word problem: length of day (phase shift)
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Practice
Interpreting trigonometric graphs in contextGet 3 of 4 questions to level up!
Modeling with sinusoidal functionsGet 3 of 4 questions to level up!
Modeling with sinusoidal functions: phase shiftGet 3 of 4 questions to level up!

Quiz 3

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Unit test

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About this unit

In Geometry, students learned about the trigonometric ratios sine, cosine, and tangent. In this unit, we extend these ideas into functions that are defined for all real numbers! We learn about the behavior of those functions and use them to model real-world situations.