Algebra 2 Geogebra Book

Sarah Toosarvandani, 5 janv. 2023

Table des matières

  1. Module 1
    1. Graphing linear equations
    2. Systems of Inequalities Practice (Formative)
    3. Visualizing and Graphing Systems of Equations 3x3
    4. Domain and Range of a Function-interval notation
    5. Graph the Line
  2. Module 2
  3. Module 3
  4. Module 4
    1. Exponential Functions Anatomy
    2. Exponential Growth vs. Linear Growth
  5. Module 5
    1. Unit Circle and Graphs of Sine/Cosine
    2. Amplitude and Vertical Transformations- Sine and Cosine Functions
    3. Trigonometry Quadrants and Graphs
    4. Trigonometry Ratio Graph from Unit Circle

1.

Module 1

  • 1. Graphing linear equations
  • 2. Systems of Inequalities Practice (Formative)
  • 3. Visualizing and Graphing Systems of Equations 3x3
  • 4. Domain and Range of a Function-interval notation
  • 5. Graph the Line

1.1.

Graphing linear equations

[b]Write an equation in standard form that goes from Mario through and each star (points C,F,G) . Mario can be anywhere just not at the origin. You should have three equations in all. For each equation, show all work and your final answer in one of the boxes below.[br][br]Lastly, check each line by typing it into the input bar at the bottom of the graph![/b][br]
Equation 1 Work- Mario and point C
Equation 2 Work- Mario and point G
Equation 3 Work- Mario and point F
– Sarah Toosarvandani, Shane Canale

1.2.

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1.3.

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1.4.

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1.5.

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2.

Module 2


    Ce chapitre ne contient aucune ressource pour l'instant.

3.

Module 3


    Ce chapitre ne contient aucune ressource pour l'instant.

4.

Module 4

  • 1. Exponential Functions Anatomy
  • 2. Exponential Growth vs. Linear Growth

4.1.

Exponential Functions Anatomy

Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.
Suppose you graph the [b]exponential function [br][/b][math]y=a^{\left(x-h\right)}+k[/math][br][br]What does the parameter [math]a[/math] do to the graph? How does it affect it? Explain.
Suppose you graph the [b]exponential function [/b][br][math]y=a^{\left(x-h\right)}+k[/math][br][br]How does the parameter [math]h[/math] affect the graph? Explain.
Suppose you graph the [b]exponential function [/b][br][math]y=a^{\left(x-h\right)}+k[/math][br][br]How does the parameter [math]k[/math] affect the graph? Explain.
Does the graph of the [b]exponential function[/b] ever cross [b][color=#a64d79]the dashed horizontal line[/color][/b]? [br][br]Explain how you know it does OR how you know it does not.
Quick (silent) demo
– Tim Brzezinski

4.2.

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5.

Module 5

  • 1. Unit Circle and Graphs of Sine/Cosine
  • 2. Amplitude and Vertical Transformations- Sine and Cosine Functions
  • 3. Trigonometry Quadrants and Graphs
  • 4. Trigonometry Ratio Graph from Unit Circle

5.1.

Unit Circle and Graphs of Sine/Cosine

The Sine Graph. Move the green theta slider at the top and see how the sine graph is created and related to the unit circle.
Sine Graph
What value is the sine graph tracing as the angle moves around the unit circle?
At what values does the sine graph equal zero?
At what value does the sine graph equal one?
At what value does the sine graph equal negative one?
The Cosine Graph - Move the green theta slider at the top and see how the cosine graph is created and related to the unit circle.
Cosine Graph
What value is the cosine graphing tracing as the angle moves around the unit circle?
At what values does the cosine graph equal zero?
At what value does the cosine graph equal one?
At what value does the cosine graph equal negative one?
STOP
Go to page 44 in your FST book and answer the questions.
– Sarah Toosarvandani, Andrea Becker, Anthony OR 柯志明

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5.3.

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5.4.

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