TJB GeoGebra Sampler

Tim Brzezinski, solearykhs, May 19, 2016

[b]Contains a sample of applets that show how GeoGebra can be used as a powerful tool to[/b] [color=#c51414][b](a) Foster Discovery Learning[/b][/color] [color=#0a971e][b](b) Differentiate Instruction[/b][/color] [color=#1551b5][b](c) Provide Students With Opportunities for Meaningful Remediation,[/b][/color] and [color=#d69210][b](d) Provide Students With Numerous Opportunities for Informal Assessment [/b][/color]

Table of Contents

  1. Sample Discovery (and/or "re-discovery") Learning Applets
    1. Triangle Angle Theorems
    2. Quadrilateral Angle Theorems
    3. Pentagon Angle Theorems
    4. Blueprint Equation of a Line (I)
    5. Inscribed Angle Theorem (V1)
    6. Another Special Right Triangle (Guided Discovery)
    7. Derivative of Sine Function (Intuitive Discovery)
    8. Right Triangle Trigonometry: Intro
    9. Angle Formed by 2 Chords (I)
    10. Angle Formed by 2 Chords (II)
    11. Circle Equation: Center (0,0)
    12. Complementary Angles Meaning
  2. Sample Applets That Illustrate Differentiation of Instruction
    1. Distance in the Coordinate Plane (With Hints)
    2. Rise & Run
    3. Distance in the Coordinate Plane (II)
    4. Parallelograms (I)
    5. Parallelogram Template (Scaffolded Discovery)
    6. How Fast are You Spinning?
    7. Exterior Angles of a Heptagon
  3. Sample Dynamic Reference Applets Useful for Meaningful Remediation
    1. Slope Illustrator
    2. Circle Terminology
    3. TRUE MEANING of π
    4. Transformations of Graphs (a, h, k)
    5. Graphing The Derivative of a Function
    6. Area of a Triangle (Discovery)
    7. Circle Area (By Peeling!)
    8. Another Special Triangle and its Properties (II)
    9. Trigonometric Ratios (Right Triangle Context)
    10. Optimization: Area of a Rectangle
  4. Sample Informal Assessment Applets
    1. Graphing Linear Equations: Question Generator (V2)
    2. Writing Linear Equations (I) - B Obvious
    3. Percents: Quiz (I)
    4. Distance in the Coordinate Plane (Quiz without Grid)
    5. Solving Quadratic Equations Using Quadratic Formula (Quiz)
    6. Graph y = a sin(x) + d (Quiz)
    7. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
    8. AAP - Problem 2
    9. AAP - Problem 3
    10. AAP - Problem 1 (Discovery)

1.

Sample Discovery (and/or "re-discovery") Learning Applets

  • 1. Triangle Angle Theorems
  • 2. Quadrilateral Angle Theorems
  • 3. Pentagon Angle Theorems
  • 4. Blueprint Equation of a Line (I)
  • 5. Inscribed Angle Theorem (V1)
  • 6. Another Special Right Triangle (Guided Discovery)
  • 7. Derivative of Sine Function (Intuitive Discovery)
  • 8. Right Triangle Trigonometry: Intro
  • 9. Angle Formed by 2 Chords (I)
  • 10. Angle Formed by 2 Chords (II)
  • 11. Circle Equation: Center (0,0)
  • 12. Complementary Angles Meaning

1.1.

Triangle Angle Theorems

Interact with the app below for a few minutes.  [br]Then, answer the questions that follow.  [br][br]Be sure to change the locations of this triangle's vertices each time [i]before[/i] you drag the slider!
What is the [b]sum of the measures of the interior angles of this triangle? [/b]
What is the [b]sum of the measures of the exterior angles [/b]of this triangle?
– Tim Brzezinski

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2.

Sample Applets That Illustrate Differentiation of Instruction

  • 1. Distance in the Coordinate Plane (With Hints)
  • 2. Rise & Run
  • 3. Distance in the Coordinate Plane (II)
  • 4. Parallelograms (I)
  • 5. Parallelogram Template (Scaffolded Discovery)
  • 6. How Fast are You Spinning?
  • 7. Exterior Angles of a Heptagon

2.1.

Distance in the Coordinate Plane (With Hints)

Discovery Lesson (Can be used without interactive figure below)
– Tim Brzezinski

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3.

Sample Dynamic Reference Applets Useful for Meaningful Remediation

  • 1. Slope Illustrator
  • 2. Circle Terminology
  • 3. TRUE MEANING of π
  • 4. Transformations of Graphs (a, h, k)
  • 5. Graphing The Derivative of a Function
  • 6. Area of a Triangle (Discovery)
  • 7. Circle Area (By Peeling!)
  • 8. Another Special Triangle and its Properties (II)
  • 9. Trigonometric Ratios (Right Triangle Context)
  • 10. Optimization: Area of a Rectangle

3.1.

Slope Illustrator

Move the two points around to change the slope of the line. Note how the slope changes as you do.
– Tim Brzezinski

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4.

Sample Informal Assessment Applets

  • 1. Graphing Linear Equations: Question Generator (V2)
  • 2. Writing Linear Equations (I) - B Obvious
  • 3. Percents: Quiz (I)
  • 4. Distance in the Coordinate Plane (Quiz without Grid)
  • 5. Solving Quadratic Equations Using Quadratic Formula (Quiz)
  • 6. Graph y = a sin(x) + d (Quiz)
  • 7. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
  • 8. AAP - Problem 2
  • 9. AAP - Problem 3
  • 10. AAP - Problem 1 (Discovery)

4.1.

Graphing Linear Equations: Question Generator (V2)

The original idea for creating this applet comes from [url=https://www.geogebra.org/stevephelps]Steve Phelps[/url]' [url=https://www.geogebra.org/m/WVGxwKKn]Graph the Line[/url] applet. [br] [br][b]Directions:[/b][br][color=#000000]1) Examine the equation shown on the right side of the screen. [/color][br]2) [b]Reposition the 2 big points so that the line is the graph of the displayed equation. [br][/b]3) Click the "Check Answer" checkbox to check. [br][b] [color=#ff00ff]If you're correct, the app will inform you.[/color] [br][/b][b] If you're not, you'll know this as well. [/b][color=#000000][br] If you're not correct, keep trying until you position the gray line correctly.[br][br][/color]4) After correctly graphing the line, click the "Generate New Line" button.
– Tim Brzezinski

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Information