Quizlet 2015-10-29

Scott Farrar, Oct 27, 2015

Some of the applets mentioned during the presentation at Quizlet. October 29, 2015

Table of Contents

  1. Geometry
    1. Euclid's Pythagorean Proof
    2. Wrapping the Circle
    3. Diagonals Cut Eachother
    4. Homer Transformed
  2. Statistics
    1. Surprising Averages
    2. Distribution Comparison
    3. Line of Least(?) Squares
  3. Algebra
    1. Slope Intercept Line
    2. Farmer Farrar's Fencing
    3. Factorable Quadratics
    4. Imaginary Roots

1.

Geometry

  • 1. Euclid's Pythagorean Proof
  • 2. Wrapping the Circle
  • 3. Diagonals Cut Eachother
  • 4. Homer Transformed

1.1.

Euclid's Pythagorean Proof

drag the slider at the bottom to observe an illustration of Euclid's Pythagorean Theorem Steps [url]www.scottfarrar.com[/url] | @farrarscott
– Scott Farrar

1.2.

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1.3.

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1.4.

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2.

Statistics

  • 1. Surprising Averages
  • 2. Distribution Comparison
  • 3. Line of Least(?) Squares

2.1.

Surprising Averages

There are no numbers shown, but you can assume we are on the usual axis: each grid square is 1x1 and values increase to the right.

1. Think about which set of dots (orange or purple) have an average that is larger? 2. Check your answer with the "Show Averages" checkbox 3. Drag the points around to observe how the averages change. 4. Try to make the data sets have the same average, but look very different. How many interesting ways can you find to do this? 5. If all points move 1 unit closer to the average, does the average increase or decrease, or does it depend?
– Scott Farrar

2.2.

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2.3.

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3.

Algebra

  • 1. Slope Intercept Line
  • 2. Farmer Farrar's Fencing
  • 3. Factorable Quadratics
  • 4. Imaginary Roots

3.1.

Slope Intercept Line

Drag the two blue points to create a line that does not hit the y-axis at a whole number. Why does your line work that way? When do lines have whole number y-intercepts and when do they not?
– Scott Farrar

3.2.

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3.3.

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3.4.

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