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GeoGebra Workshop Exemplar Book

Brian Gervase, Feb 2, 2016

This book has been designed to accompany an introduction to GeoGebra workshop.

Discovering Geometry
1. Parallel Lines Intersected by a Transversal
2. Angles and Parallel Lines Discovery #1
3. rhombus
4. Circle Theorems - angles on the same arc
5. Cyclic Quadrilateral 3
6. Exterior Angles of Polygons
7. triangle inequality
8. Area of Circles
9. Pappus Hexagon Theorem
10. Axes of Symmetry
Primary Arithmetic
1. nlhukhlTwo-digit whole numbers
2. Factorization - Visual illustration of divisor pairs
3. Fraction Division1:　a ÷ b (Partitive)
4. Multiplying 3 Factors
5. Percent of a Number
Dynamic Algebra
1. Graph the Line
2. Tangent-zoom
3. How to draw Bezier curves
4. Vektor 3D
5. Radians in Unit Circle
6. complex power visualization
7. Multiple Angle Sine Solutions
8. 3 circle motion
9. Ellipse - string
10. Riemann Sums - Rectangular Approximation (LRAM, RRAM, MRAM)
11. Rational Function Game
12. Velocity Acceleration Vectors on Parametric Curve
Statistics Alive
1. AQR Section 16: Five Number Summary Exploration
2. AQR Section 17: Mean but Sensitive
3. AQR Section 16: Matching a Pie Chart to a Dot Plot
4. Binomial Distribution with Normal and Poisson Approximation
5. Spinner
6. Coin Flip Simulation
7. Dice Roll Simulation
Amazing Models
1. How Far Can You See?
2. Parallel Parking optimization (US customary units)
3. Simple Earth / Sun Model
4. Rubber Pencil Illusion
5. Inclined Plane with Two Masses and a Pulley
6. Curve of Pursuit
7. fractal fern
8. Planetary Motion
9. Playing Card Dealer
10. The Cycloid Curve
11. Involute
12. parabola hyperbola lens
13. Displacement and Velocity
Plain Old Fun!
1. Kaleidoscope
2. String Art Based on Bézier Curves
3. Mandelbrot Visualization
4. Turning Wheel
5. Laser Triangle
6. Golden Spiral
7. draftmans ellipse
8. Perspective Diagonals
Student Samples
1. Golf Course 3
2. Law of Sines Proof
3. unit circle 3
4. Ellipse Lab

Information

Discovering Geometry

1. Parallel Lines Intersected by a Transversal
2. Angles and Parallel Lines Discovery #1
3. rhombus
4. Circle Theorems - angles on the same arc
5. Cyclic Quadrilateral 3
6. Exterior Angles of Polygons
7. triangle inequality
8. Area of Circles
9. Pappus Hexagon Theorem
10. Axes of Symmetry

Parallel Lines Intersected by a Transversal

The lines a and b are parallel, cut by transversal c. Drag the blue points on c to move the transversal. 1. How does this affect the angles formed by the intersection of a and b with c? 2. Which angles are always congruent? 3. Which angles are always supplementary?

1.2.

1.3.

1.4.

1.5.

1.6.

1.7.

1.8.

1.9.

1.10.

2.

Primary Arithmetic

1. nlhukhlTwo-digit whole numbers
2. Factorization - Visual illustration of divisor pairs
3. Fraction Division1:　a ÷ b (Partitive)
4. Multiplying 3 Factors
5. Percent of a Number

2.1.

nlhukhlTwo-digit whole numbers

Visualizing the meaning of two-digit numbers.

(Try moving the black slider.)

2.2.

2.3.

2.4.

2.5.

3.

Dynamic Algebra

1. Graph the Line
2. Tangent-zoom
3. How to draw Bezier curves
4. Vektor 3D
5. Radians in Unit Circle
6. complex power visualization
7. Multiple Angle Sine Solutions
8. 3 circle motion
9. Ellipse - string
10. Riemann Sums - Rectangular Approximation (LRAM, RRAM, MRAM)
11. Rational Function Game
12. Velocity Acceleration Vectors on Parametric Curve

3.1.

Graph the Line

Drag points A and B so the line matches the equation.

3.2.

3.3.

3.4.

3.5.

3.6.

3.7.

3.8.

3.9.

3.10.

3.11.

3.12.

4.

Statistics Alive

1. AQR Section 16: Five Number Summary Exploration
2. AQR Section 17: Mean but Sensitive
3. AQR Section 16: Matching a Pie Chart to a Dot Plot
4. Binomial Distribution with Normal and Poisson Approximation
5. Spinner
6. Coin Flip Simulation
7. Dice Roll Simulation

4.1.

AQR Section 16: Five Number Summary Exploration

The worksheet below is designed to help you see how the "Five Number Summary" for a data set is related to the mean of the data set. Drag the green points along the number line, and observe how the Five Number Summary and Box Plot change. Observe how the mean change. Observe which of these statistics seems to change most easily.

4.2.

4.3.

4.4.

4.5.

4.6.

4.7.

5.

Amazing Models

1. How Far Can You See?
2. Parallel Parking optimization (US customary units)
3. Simple Earth / Sun Model
4. Rubber Pencil Illusion
5. Inclined Plane with Two Masses and a Pulley
6. Curve of Pursuit
7. fractal fern
8. Planetary Motion
9. Playing Card Dealer
10. The Cycloid Curve
11. Involute
12. parabola hyperbola lens
13. Displacement and Velocity

5.1.

How Far Can You See?

The diagram below shows how the height of an object (the red dot) affects how much of the Earth can be seen from the object. The red dot (which could represent a satellite, for example) can be moved to change its height.

What equation describes the relationship between height and visible arc length here?

Plain Old Fun!

6.1.

Kaleidoscope

Drag the large blue point. You can also change the options to change the sort of pattern

Student Samples

1. Golf Course 3
2. Law of Sines Proof
3. unit circle 3
4. Ellipse Lab

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