Unit Circle & Graphing

Explanation

• Notes | Annotated 

Practice Problems

• Worksheet #1 

Explanation

• Notes | Annotated

Practice Problems

• Worksheet

Completed Unit Circle: 

• • pdf

  • Notes

  • Khan video: Introduction to the unit circle

  • Khan article: Trig unit circle review

Practice:

• • • Every 30 degrees only 

    • Every 45 degrees only

    • Blank Unit Circle with lines

    • Blank Unit Circle without lines

    • Purchase pdfs

Explanation

• Notes | Annotated Notes | Notes | Annotated Notes

• Khan article: Trig ratios of special triangles

• Khan video: Unit circle

• Khan article: Trig unit circle review

• Khan video: Trig values of special angles

• Desmos graph (physical distances of all six trig ratios)

Practice Problems

• Worksheet #1 

• Worksheet #1 | Answers

• Quizlet

• Khan Exercise: Trig values of special angles (only sine and cosine)

Explanation

• Notes | Annotated

• Notes | Annotated

• Khan Video: Graph of y=sin(x)

• Khan video: Intersection points of y=sin(x) and y=cos(x)

• Interactive graphs of the relationship between the unit circle and the graph of sin and cos curve:

  • • Sine Graph on desmos

    • Cosine Graph on desmos

    • website (quicktime)

• Tacoma Bridge collapses

• Large Coordinate Plane handout

• Modified directions from Illuminations: Graphs from the Unit Circle

• Desmos Activity: Polygraph: Sinusoids with Vertical Transformations (teacher use only)

• Blank Trig Coordinate Planes

• Khan video: Transforming sinusoidal graphs: vertical & horizontal stretches

  • Interactive Websites:

    • Graph sin with change in amplitude with Desmos

    • Graph cos with change in amplitude with Desmos

    • Graph sin with change in period (multiplying by a number) with Desmos

    • Graph sin with change in period (dividing by a number) with Desmos

    • Graph cos with change in period (multiplying by a number) with Desmos

    • Graph cos with change in Period (dividing by a number) with Desmos

    • Interactive graph of sin (desmos)

    • Interactive graph of cosine (desmos)

      • NLVM (Interactive website using java by the Utah State University - NLVM): graph any trig function; also make your own graph with up to three sliding variables

    • video of frequency of noise and water

Practice Problems

• Graphs from the Unit Circle WS

• Worksheet #1

  • Khan Exercise: Graph sinusoidal functions (challenging)

  • Khan Exercise: Graph sinusoidal functions: phase shift (challenging) 

• Worksheet #1

• Explanation

  • Notes | Annotated

  • vocabulary review

  • Khan article: Midline, amplitude, and period review

  • Khan Video:  Features of sinusoidal functions

  • Khan Video: Sinusoidal function from graph

  • Khan Video: Trig word problem: modeling daily temperature

  • Khan Video: Trig word problem: modeling annual temperature

  • Khan Video: Trig word problem: length of day (phase shift)

  • Khan video: Predator-prey cycles

• Practice Problems:

  • Desmos Activity: Trigonometric Graphing: Introduction to Amplitude and Vertical Shift (Teacher use only)

  • Desmos Activity: Graphing the Sine Function using Amplitude, Period, and Vertical Translation (Teacher use only)

  • Desmos Activity: Marbleslides (Teacher use only)

  • Desmos Activity: Burning Daylight (Teacher use only)

  • Worksheet #1

  • Khan Exercise: Midline of sinusoidal functions from graph

  • Khan Exercise: Amplitude of sinusoidal functions from graph

  • Khan Exercise: Period of sinusoidal functions from graph

  • Khan Exercise: Construct sinusoidal functions

  • Khan Exercise: Modeling with sinusoidal functions

  • Khan Exercise: Modeling with sinusoidal functions: phase shift

  • Math Modeling with Trig Project  Foxes and Rabbits

  • Explanation: 

    • Identify Parts of a Trig Function: Notes | Annotated

    • Graphing Mixed Review: Notes | Annotated

    • Khan video: Amplitude & period of sinusoidal functions from equation

    • Sound Waves

  • Practice Problems:

    • Desmos Polygraph: Sinusoids (Teacher Use Only)

    • Khan exercise: Midline of sinusoidal functions from equation

    • Khan exercise: Amplitude of sinusoidal functions from equation

    • Khan exercise: Period of sinusoidal functions from equation (give answers in terms of radians)

    • Identify Parts of a Trig Function WS #1 

    • Identify Parts of a Trig Function WS #2

    • Graphing Sin and Cosine by Transformations (Mixed Review):

      • Worksheet #1 

Explanation

• Notes | Annotated | Notes | Annotated

• Desmos example of transforming sine and cosecant

• Desmos example of transforming cosine and secant

• Khan Video: Graph of y=tan(x)

• Desmos: example of transforming tangent

• Desmos: example of transforming cotangent

Practice Problems

• Worksheet #1

• Worksheet #1 

Explanation

• Notes | Annotated

• Khan article: Inverse trigonometric functions review

• Khan video: Intro to arcsine

• Khan video: Intro to arctangent

• Khan video: Intro to arccosine

Practice Problems

• Worksheet #1 

• Khan exercise: Evaluate inverse trig functions (with a calculator)

• Review worksheet #1 

• Review Worksheet #2

• Quizlet Flashcards