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Modern Math through Games: Notes for Discovery Seminar

Tien Chih

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Section 2.1 SET

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Each SET card has four characteristics.
  • Color: Red, Green or Purple.
  • Shading: Bold, Empty or Striped.
  • Number: One, Two or Three shapes.
  • Shape: Oval, Diamonds, or Squiggle.
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Figure 2.1.1. The SET cards
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Definition 2.1.2.

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A SET is a collection of 3 cards such that for each of the four characteristics, either:
  • All three cards share the same value. OR
  • All three cards have different values.
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Activity 2.1.5.

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For each of the following, determine what card(s) if any could be added to form a SET:
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(d)

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Pick any two cards, can you find what card(s) if any will complete a set? Repeat.
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Problem 2.1.4.

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For any two cards, is it always possible to find a third card to complete a SET? How many options do you have? Justify your assertions.
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Activity 2.1.6.

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(a)

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Pick any three cards who do not form a set and arrange them in a corner of a 3×3 grid like so:
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(b)

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Fill out this grid so that each row, column and diagonal forms a SET.
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(c)

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For each pair of cards on this grid, is there a third card also on this grid which forms a SET?
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Problem 2.1.5.

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For the grid you constructed in Activity 2.1.6, how would you describe the position of the sets in relation to the grid?
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