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khoa03112012, Nov 20, 2024

Table of Contents

  1. part 1
    1. Graph the Line
    2. Proof Without Words
    3. Battleship in the Coordinate Plane!
    4. Geometry Resources
    5. Circle Area (By Peeling!)
    6. Parallelogram: Area
    7. Triangle Angle Theorems
    8. Linear Equation Generator
  2. part 2
    1. Triangle Exterior Angle
    2. Sections of Rectangular Prisms (Cuboids)
    3. Area of Circles
    4. Surface Area: Intuitive Introduction
    5. Messing With Lisa
    6. Right Triangle Trigonometry: Intro
    7. Parallelograms (I)
    8. Supplementary Angles (Quick Exploration)
  3. part 3
    1. Sections of Triangular Prisms
    2. Complementary Meaning?
    3. Exponential Functions: Graphs
    4. Triangle Angle Sum Theorem
    5. AA Similarity Theorem
    6. Sections of Cylinders
    7. Graphing Linear Equations: Question Generator (V2)
    8. Sections of Rectangular Pyramids
  4. part 4
    1. SAS: Dynamic Proof!
    2. Exploring Polygon Angles: Triangle through Octagon
    3. Functions Resources
    4. Plotting Points (x,y): Quiz
    5. Transversal Intersects Parallel Lines
    6. Circle Terminology
    7. Sections of Cones
    8. Slope (Quiz) I
  5. part 5
    1. Slope: Intuitive Introduction
    2. Area of a Triangle (Discovery)
    3. Volume of Solid of Revolution about x-axis
    4. Medians and Centroid Dance
    5. Net of a Cone
    6. Polygons: Exterior Angles
    7. Solving Linear Systems by Graphing: Quiz (V1)
    8. Solving Linear Systems by Graphing: Quiz (V1)
  6. part 6
    1. Sections of Triangular Pyramids
    2. Functions Resources
    3. Transversal Intersects Parallel Lines
    4. Sections of Spheres
    5. Triangle Inequality: Discovery Lesson
    6. Sine & Cosine of a Sum: Discovery
    7. Derivative of Sine & Cosine Functions (Quick Investigation)
    8. ASA Theorem?
  7. part 7
    1. Properties of Dilations
    2. Circumcenter & Circumcircle Action!
    3. SSS: Dynamic Proof!
    4. Properties of Tangents Drawn to Circles (A)
    5. Die trigonometrischen Funktionen
    6. Unwrapping a Cylinder: REVAMPED!
    7. Same Side Interior Angles Theorem
    8. Distance in the Coordinate Plane (With Hints)

1.

part 1

  • 1. Graph the Line
  • 2. Proof Without Words
  • 3. Battleship in the Coordinate Plane!
  • 4. Geometry Resources
  • 5. Circle Area (By Peeling!)
  • 6. Parallelogram: Area
  • 7. Triangle Angle Theorems
  • 8. Linear Equation Generator

1.1.

Graph the Line

Drag points A and B so the line matches the equation.
– Steve Phelps

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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2.

part 2

  • 1. Triangle Exterior Angle
  • 2. Sections of Rectangular Prisms (Cuboids)
  • 3. Area of Circles
  • 4. Surface Area: Intuitive Introduction
  • 5. Messing With Lisa
  • 6. Right Triangle Trigonometry: Intro
  • 7. Parallelograms (I)
  • 8. Supplementary Angles (Quick Exploration)

2.1.

Triangle Exterior Angle

[color=#000000]In the app below, an [b]exterior angle of a triangle[/b] is shown.[br]The 2 colored angles[/color][color=#000000] are referred to as its [/color][i]remote interior angles. [/i]
Interact with this app for a few minutes. LARGE POINTS are moveable.
[color=#000000]What can we conclude about the measure of an exterior angle when we compare it to its remote interior angles? Explain. [/color]
What other theorem is readily made obvious here?
– Tim Brzezinski

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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3.

part 3

  • 1. Sections of Triangular Prisms
  • 2. Complementary Meaning?
  • 3. Exponential Functions: Graphs
  • 4. Triangle Angle Sum Theorem
  • 5. AA Similarity Theorem
  • 6. Sections of Cylinders
  • 7. Graphing Linear Equations: Question Generator (V2)
  • 8. Sections of Rectangular Pyramids

3.1.

Sections of Triangular Prisms

Drag the blue points to see the different sections of the triangular prism.
Anthony Or. GeoGebra Institute of Hong Kong
– Anthony OR 柯志明

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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4.

part 4

  • 1. SAS: Dynamic Proof!
  • 2. Exploring Polygon Angles: Triangle through Octagon
  • 3. Functions Resources
  • 4. Plotting Points (x,y): Quiz
  • 5. Transversal Intersects Parallel Lines
  • 6. Circle Terminology
  • 7. Sections of Cones
  • 8. Slope (Quiz) I

4.1.

SAS: Dynamic Proof!

[color=#000000]The [/color][b][u][color=#0000ff]SAS Triangle Congruence Theorem[/color][/u][/b][color=#000000] states that [/color][b][color=#000000]if 2 sides [/color][color=#000000]and their [/color][color=#ff00ff]included angle [/color][color=#000000]of one triangle are congruent to 2 sides and their [/color][color=#ff00ff]included angle [/color][color=#000000]of another triangle, then those triangles are congruent. [/color][/b][color=#000000]The applet below uses transformational geometry to dynamically prove this very theorem. [br][br][/color][color=#000000]Interact with this applet below for a few minutes, then answer the questions that follow. [br][/color][color=#000000]As you do, feel free to move the [b]BIG WHITE POINTS[/b] anywhere you'd like on the screen! [/color]
Q1:
What geometry transformations did you observe in the applet above? List them.
Q2:
What common trait do all these transformations (you listed in your response to (1)) have?
Q3:
Go to [url=https://www.geogebra.org/m/d9HrmyAp#chapter/74321]this link[/url] and complete the first 5 exercises in this GeoGebra Book chapter.
Quick (Silent) Demo
– Tim Brzezinski

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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5.

part 5

  • 1. Slope: Intuitive Introduction
  • 2. Area of a Triangle (Discovery)
  • 3. Volume of Solid of Revolution about x-axis
  • 4. Medians and Centroid Dance
  • 5. Net of a Cone
  • 6. Polygons: Exterior Angles
  • 7. Solving Linear Systems by Graphing: Quiz (V1)
  • 8. Solving Linear Systems by Graphing: Quiz (V1)

5.1.

Slope: Intuitive Introduction

[color=#000000]Discovery Lesson Activity: [br][/color][color=#980000][br][/color][b][color=#0000ff][url=https://docs.google.com/document/d/1W5fggl-QmnwOoT1Yjs2MfZnwVzIF49pflGX33xe0PN0/edit?usp=sharing]Slope: Intuitive Introduction Investigation [/url][/color][/b]
– Tim Brzezinski

5.2.

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5.3.

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5.4.

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5.5.

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5.6.

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5.7.

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5.8.

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6.

part 6

  • 1. Sections of Triangular Pyramids
  • 2. Functions Resources
  • 3. Transversal Intersects Parallel Lines
  • 4. Sections of Spheres
  • 5. Triangle Inequality: Discovery Lesson
  • 6. Sine & Cosine of a Sum: Discovery
  • 7. Derivative of Sine & Cosine Functions (Quick Investigation)
  • 8. ASA Theorem?

6.1.

Sections of Triangular Pyramids

Drag the blue points to see the different sections of the triangular pyramid.
Anthony Or. GeoGebra Institute of Hong Kong
– Anthony OR 柯志明

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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6.7.

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6.8.

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7.

part 7

  • 1. Properties of Dilations
  • 2. Circumcenter & Circumcircle Action!
  • 3. SSS: Dynamic Proof!
  • 4. Properties of Tangents Drawn to Circles (A)
  • 5. Die trigonometrischen Funktionen
  • 6. Unwrapping a Cylinder: REVAMPED!
  • 7. Same Side Interior Angles Theorem
  • 8. Distance in the Coordinate Plane (With Hints)

7.1.

Properties of Dilations

This applet accompanies the [b]Introduction to Dilations[/b] activity given to you in class.  [br]Have fun with this!  
– Tim Brzezinski

7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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