So Connecticut GeoGebra Conf Aug 2016

Doug Kuhlmann, Aug 11, 2016

Some applets I used at the Southern Connecticut GeoGebra conference, Aug 16, 2016

Table of Contents

  1. Some volume examples
    1. Cross sections are semi-circles.
    2. Volume of revolution--washers
    3. Cross sections are squares with one side in base.
  2. Dynamic definition of tangent
    1. Worksheet to accompany these applets.
    2. Dynamic definition of tangent function.
    3. Dynamic definition of tangent and secant.
  3. Keynote address applets
    1. Exploration of vertex of quadratic functions.
    2. Visualization of paths of vertex when 'stacked' in 3-space
    3. sum of vectors rotating ON circles.
    4. A model of the Mad Tea Cups ride.
    5. Digging deeper with GeoGebra keynote address

1.

Some volume examples

  • 1. Cross sections are semi-circles.
  • 2. Volume of revolution--washers
  • 3. Cross sections are squares with one side in base.

1.1.

Cross sections are semi-circles.

Cross sections of the solid are semi-circles with diameter in the base.
– Doug Kuhlmann

1.2.

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1.3.

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2.

Dynamic definition of tangent

The trig function tangent is defined dynamically and then it is proven that tan=sin/cos.

  • 1. Worksheet to accompany these applets.
  • 2. Dynamic definition of tangent function.
  • 3. Dynamic definition of tangent and secant.

2.1.

Worksheet to accompany these applets.

DefnOfTangentKuhlmann
– Doug Kuhlmann

2.2.

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2.3.

–

3.

Keynote address applets

Applets used during the keynote talk.

  • 1. Exploration of vertex of quadratic functions.
  • 2. Visualization of paths of vertex when 'stacked' in 3-space
  • 3. sum of vectors rotating ON circles.
  • 4. A model of the Mad Tea Cups ride.
  • 5. Digging deeper with GeoGebra keynote address

3.1.

Exploration of vertex of quadratic functions.

Exploration of vertex of quadratic functions.
– Doug Kuhlmann

3.2.

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3.3.

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3.4.

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3.5.

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