2D to 3D: What's Going On?

Tim Brzezinski, Jun 4, 2020

2D to 3D: Interactive Student Investigation

Table of Contents

  1. Parts 1-3
    1. 2D to 3D: What's Going On? (Part 1)
    2. 2D to 3D: What's Going On? (Part 2)
    3. 2D to 3D: What's Going On? (Part 3)
  2. Parts 4-6
    1. 2D to 3D: What's Going On? (Part 4)
    2. 2D to 3D: What's Going On? (Part 5)
    3. 2D to 3D: What's Going On? (Part 6)

1.

Parts 1-3

  • 1. 2D to 3D: What's Going On? (Part 1)
  • 2. 2D to 3D: What's Going On? (Part 2)
  • 3. 2D to 3D: What's Going On? (Part 3)

1.1.

2D to 3D: What's Going On? (Part 1)

In the app below, the 2D figure you see on the left is the same as the 2D figure you see on the right.
Slide the slider (lower left) all the way to the right.
What do you see happening here? Describe as best you can in your own words.
– Tim Brzezinski

1.2.

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1.3.

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2.

Parts 4-6

  • 1. 2D to 3D: What's Going On? (Part 4)
  • 2. 2D to 3D: What's Going On? (Part 5)
  • 3. 2D to 3D: What's Going On? (Part 6)

2.1.

2D to 3D: What's Going On? (Part 4)

In the app below, the 2D figure you see on the left is the same as the 2D figure you see on the right.
Construct a cylinder whose height is double its radius.
Explain how you know [i]why[/i] the surface you made above is a cylinder.
In the app above, explain how the positioning of your points guarantees the cylinder's height is double its radius.
– Tim Brzezinski

2.2.

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2.3.

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