Technology for Calculus

Katie Menard, Jul 28, 2015

This GeoGebraBook includes a compilation of GGB activities that support ideas in a standard non-AP high school Calculus class.

Table of Contents

  1. Area Approximations
    1. Approximating Area under a Curve using Polygons
  2. Solids of Revolution
    1. Rotation of a Curve around the x-axis
    2. Rotation of a Curve around the y-axis
    3. Bounded Region Rotated around the x-axis
    4. Bounded Region Rotated around the y-axis
  3. Cross Sections
    1. Solid Formed by Square Cross Sections
    2. Solid Formed by Equilateral Triangular Cross Sections
    3. Solid Formed by Square Cross Sections of a Bounded Region

1.

Area Approximations

  • 1. Approximating Area under a Curve using Polygons

1.1.

Approximating Area under a Curve using Polygons
– Katie Menard

2.

Solids of Revolution

  • 1. Rotation of a Curve around the x-axis
  • 2. Rotation of a Curve around the y-axis
  • 3. Bounded Region Rotated around the x-axis
  • 4. Bounded Region Rotated around the y-axis

2.1.

Rotation of a Curve around the x-axis
– Katie Menard

2.2.

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2.3.

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2.4.

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3.

Cross Sections

  • 1. Solid Formed by Square Cross Sections
  • 2. Solid Formed by Equilateral Triangular Cross Sections
  • 3. Solid Formed by Square Cross Sections of a Bounded Region

3.1.

Solid Formed by Square Cross Sections
– Katie Menard

3.2.

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3.3.

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Information