TJB GeoGebra Sampler

Tim Brzezinski, jason.mickus, Dec 8, 2015

[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 Learning Applets
    1. AAP - Problem 1 (Discovery)
    2. Circle Area (by Peeling)
    3. Distance in the Coordinate Plane (With Hints)
    4. Derivative of Sine Function (Intuitive Discovery)
    5. Angle formed by a Secant & Tangent: What Do You See? (V1)
    6. Heptagon Interior & Exterior Angle Sum Theorems
  2. Sample Applets That Illustrate Differentiation of Instruction
    1. Rectangle Template with Investigation Questions
    2. Rectangle Template (Scaffolded Investigation)
    3. How Fast are You Spinning?
    4. Angle Formed by a Secant & Tangent: What Do You See? (V2)
    5. Exterior Angles of a Heptagon
    6. Area of a Trapezoid (Discovery)
  3. Sample Meaningful Remediation Applets
    1. 1 Radian: Clear Definition
    2. Movie: Radians to Revs
    3. True Meanings of the 3 Trigonometric Ratios within a Right Triangle Context
    4. Finding Slope of a Line by Mere Inspection
    5. Transformations of Graphs (a, h, k)
  4. Sample Informal Assessment Applets
    1. AAP - Problem 2
    2. AAP - Problem 3
    3. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
    4. Matching Verbal Statements to Algebraic Statements (V2)
    5. Distance in the Coordinate Plane (Quiz without Grid)
    6. Solving Quadratic Equations Using Quadratic Formula (Quiz)
    7. Graph y = a sin(x) + d (Quiz)
    8. Graphing Linear Equations (II)

1.

Sample Discovery Learning Applets

  • 1. AAP - Problem 1 (Discovery)
  • 2. Circle Area (by Peeling)
  • 3. Distance in the Coordinate Plane (With Hints)
  • 4. Derivative of Sine Function (Intuitive Discovery)
  • 5. Angle formed by a Secant & Tangent: What Do You See? (V1)
  • 6. Heptagon Interior & Exterior Angle Sum Theorems

1.1.

AAP - Problem 1 (Discovery)

The questions you need to answer will soon appear in the applet below.[br]So, get started!
– Tim Brzezinski

1.2.

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1.5.

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1.6.

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2.

Sample Applets That Illustrate Differentiation of Instruction

  • 1. Rectangle Template with Investigation Questions
  • 2. Rectangle Template (Scaffolded Investigation)
  • 3. How Fast are You Spinning?
  • 4. Angle Formed by a Secant & Tangent: What Do You See? (V2)
  • 5. Exterior Angles of a Heptagon
  • 6. Area of a Trapezoid (Discovery)

2.1.

Rectangle Template with Investigation Questions

[color=#cc0000][b]Students: [/b][/color][br][br]The applet below contains a quadrilateral that [color=#1e84cc][b]ALWAYS remains a RECTANGLE.[/b][/color][br]Be sure to move the BIG WHITE VERTICES of this rectangle around as you answer each investigation question! [br][br][color=#cc0000][b]Teachers: [/b][/color][br][br]A PDF copy of this investigation & its questions can be found below the applet.
Rectangle Scaffolded Investigation
– Tim Brzezinski

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2.6.

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3.

Sample Meaningful Remediation Applets

  • 1. 1 Radian: Clear Definition
  • 2. Movie: Radians to Revs
  • 3. True Meanings of the 3 Trigonometric Ratios within a Right Triangle Context
  • 4. Finding Slope of a Line by Mere Inspection
  • 5. Transformations of Graphs (a, h, k)

3.1.

1 Radian: Clear Definition

[color=#c51414]One unit of ANGLE or ARC MEASURE which you're probably familiar with is that of a "degree." One degree is 1/360th of a full revolution, right? [/color][br][color=#0a971e]Another unit of ANGLE or ARC MEASURE is a "revolution". 1 revolution = 360 degrees, right? [/color][br][br][color=#1551b5]Well, there is ANOTHER unit of ANGLE or ARC MEASURE with which you'll soon become familiar. [/color] [br][color=#1551b5]This new unit of ANGLE or ARC MEASURE is called a [b]RADIAN[/b]. [/color] [br][br][i][color=#b20ea8]Interact with the applet below for a few minutes. [br]Reset it a few times and start the animation again each time.[br]Be sure to change the circle's radius as you go along. [br][br][b][color=#1551b5]After interacting with this applet, answer the question that appears immediately below it.[/color][/b][/color] [/i]
Again, recall that a "degree", a "revolution", and a "radian" are all units of ARC MEASURE (i.e. AMOUNT OF SPIN). [br][br][color=#c51414][b]Complete the following sentence definition:[/b][/color] [br][br][b][color=#1551b5]Definition: 1 RADIAN is defined to be a unit of ARC MEASURE for which.....[/color][/b]
– Tim Brzezinski

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4.

Sample Informal Assessment Applets

  • 1. AAP - Problem 2
  • 2. AAP - Problem 3
  • 3. Endpoint (x,y) of a Segment Given Midpoint & Other Endpoint
  • 4. Matching Verbal Statements to Algebraic Statements (V2)
  • 5. Distance in the Coordinate Plane (Quiz without Grid)
  • 6. Solving Quadratic Equations Using Quadratic Formula (Quiz)
  • 7. Graph y = a sin(x) + d (Quiz)
  • 8. Graphing Linear Equations (II)

4.1.

AAP - Problem 2

The questions you need to answer will soon appear in the applet below.[br]So, get started!
– Tim Brzezinski

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