Surface and Volume Applets

Karen Paik, May 7, 2015

Table of Contents

  1. Inspiration
    1. A Math Teacher
  2. Applets from Materials
    1. Wrapping a Chocolate bar
    2. Area of Circles
    3. Rectangular Pyramid
    4. Area With Fixed Perimeter
    5. Cylinder with fixed volume
    6. Cylinder Volumes
    7. hexagon net
  3. Optimization of a Cylinder
    1. Surface Area of a Cylinder with a Fixed Volume
    2. Volume of a Cylinder with Fixed Surface Area
  4. Useful Tutorials
    1. GeoGebra Tutorial 1
    2. GeoGebra Tutorial 2
    3. GeoGebra Tutorial 3
    4. GeoGebra - Insert Text
    5. GeoGebra Spreadsheet Tutorial
  5. Videos
    1. V = 1/3 BH
    2. Pyramid and Cube
    3. Pyramid and Prism

1.

Inspiration

Daniel Barenboim plays one of the easiest Mozart Sonatas. Look how he dressed up. Look how grand the piano is. Look how magnificent the music hall is. His seriousness, wearing the most formal outfit, and putting all his energy to make the best performance on this piece of music by a great musician, which many young students play...that's the inspiration. What if a math teacher performs the school math like Barenboim does? What would it be like to be a student under such a grand teacher?

  • 1. A Math Teacher

1.1.

A Math Teacher

A Dream Teacher
[font=Arial][size=100][/size][/font][br]Daniel Barenboim plays one of the easiest Mozart Sonatas that so many school children play. Look how serious he is! Look how he dressed up! Look how magnificent the music hall is! And he plays the school music, but oh! such a grand way! Like Mozart composed this, Euclid wrote the Elements, the school math. What if a math teacher teaches school math like Barenboim plays this music? What would it be like to be a student under such a teacher?
– Karen Paik

2.

Applets from Materials

  • 1. Wrapping a Chocolate bar
  • 2. Area of Circles
  • 3. Rectangular Pyramid
  • 4. Area With Fixed Perimeter
  • 5. Cylinder with fixed volume
  • 6. Cylinder Volumes
  • 7. hexagon net

2.1.

Wrapping a Chocolate bar

– Karen Paik

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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3.

Optimization of a Cylinder

  • 1. Surface Area of a Cylinder with a Fixed Volume
  • 2. Volume of a Cylinder with Fixed Surface Area

3.1.

Surface Area of a Cylinder with a Fixed Volume

Optimization of a Surface Area of a Cylinder with a Fixed Volume (Non-Calculus way)
– Karen Paik

3.2.

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4.

Useful Tutorials

  • 1. GeoGebra Tutorial 1
  • 2. GeoGebra Tutorial 2
  • 3. GeoGebra Tutorial 3
  • 4. GeoGebra - Insert Text
  • 5. GeoGebra Spreadsheet Tutorial

4.1.

GeoGebra Tutorial 1

Andrew Martin's GeoGebra Tutorial 1
– Karen Paik

4.2.

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4.3.

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4.4.

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4.5.

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5.

Videos

  • 1. V = 1/3 BH
  • 2. Pyramid and Cube
  • 3. Pyramid and Prism

5.1.

V = 1/3 BH

– Karen Paik

5.2.

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5.3.

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Information