GeoGebra Workshop, SRJC Fall 2014

George Sturr, Aug 12, 2014

Table of Contents

  1. Fun Stuff
    1. Focus of the parabola
    2. Other conics
    3. Cats on ladder
    4. Strandbeest
    5. Apollonius Circles
    6. Interactive GeoGebra logo
    7. Ptolemy and epicycles
    8. Curve of Pursuit
    9. Organic Pythagorean Theorem With Similar Polygons
    10. Psychédélisme
    11. Pythagorean Tree
  2. Algebra ( M150A/B, M151, M155)
    1. What's The Slider Do? Equations and Graphs 2
    2. What's The Slider Do? Equations and Graphs 1
    3. What's The Slider Do? Equations and Graphs 6
    4. Berliner Bogen
    5. Domain and Range Animation
    6. Standard Form of Parabola
  3. Trigonometry (M27, M58)
    1. The Sine theorem, ambiguous case
    2. Transformations of the Sine function
  4. Calculus 1 (M1A)
    1. Derivative of a polynomial
    2. Fundamental Theorem of Calculus
    3. Riemann Sum Using Left, Right, and Mid-Point Rules
    4. A geometric argument for the limit of sin(x)/x as x --> 0
    5. Mean Value Theorem
  5. Calculus 2 (M1B)
    1. Different Parametric Curves for the Same Path
    2. Motion on a Parametric Curve
    3. Motion on a 3D Parametric Curve
  6. Multivariable Calculus (M1C)
    1. Vector Fields and Line Integrals
    2. 3D function
  7. Linear Algebra (M5)
    1. w defined by the basis vectors u and v.

1.

Fun Stuff

  • 1. Focus of the parabola
  • 2. Other conics
  • 3. Cats on ladder
  • 4. Strandbeest
  • 5. Apollonius Circles
  • 6. Interactive GeoGebra logo
  • 7. Ptolemy and epicycles
  • 8. Curve of Pursuit
  • 9. Organic Pythagorean Theorem With Similar Polygons
  • 10. Psychédélisme
  • 11. Pythagorean Tree

1.1.

Focus of the parabola

Move the red points!
– Malin Christersson

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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1.9.

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1.10.

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1.11.

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2.

Algebra ( M150A/B, M151, M155)

  • 1. What's The Slider Do? Equations and Graphs 2
  • 2. What's The Slider Do? Equations and Graphs 1
  • 3. What's The Slider Do? Equations and Graphs 6
  • 4. Berliner Bogen
  • 5. Domain and Range Animation
  • 6. Standard Form of Parabola

2.1.

What's The Slider Do? Equations and Graphs 2

Drag each slider. Each slider controls some aspect of the graph. What aspect does each slider control? How would the sliders be represented in an equation for the graph?
– Steve Phelps

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.

–

3.

Trigonometry (M27, M58)

  • 1. The Sine theorem, ambiguous case
  • 2. Transformations of the Sine function

3.1.

The Sine theorem, ambiguous case

Change A, C and a!
The Sine theorem, ambiguous case
– Malin Christersson

3.2.

–

4.

Calculus 1 (M1A)

  • 1. Derivative of a polynomial
  • 2. Fundamental Theorem of Calculus
  • 3. Riemann Sum Using Left, Right, and Mid-Point Rules
  • 4. A geometric argument for the limit of sin(x)/x as x --> 0
  • 5. Mean Value Theorem

4.1.

Derivative of a polynomial

Change the sliders!
– Malin Christersson

4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

Calculus 2 (M1B)

  • 1. Different Parametric Curves for the Same Path
  • 2. Motion on a Parametric Curve
  • 3. Motion on a 3D Parametric Curve

5.1.

Different Parametric Curves for the Same Path

The two circles below are represented by different parametric curves. Drag the slider below to change the parameter for both curves and notice the differences. Which curve is parameterized with respect to arc length?
– George Sturr

5.2.

–

5.3.

–

6.

Multivariable Calculus (M1C)

  • 1. Vector Fields and Line Integrals
  • 2. 3D function

6.1.

Vector Fields and Line Integrals
– George Sturr

6.2.

–

7.

Linear Algebra (M5)

  • 1. w defined by the basis vectors u and v.

7.1.

w defined by the basis vectors u and v.

w is a linear combination of the basis vectors u and v.
– Malin Christersson

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