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Probability Arcade

A comprehensive 7th-grade unit exploring probability through game design, where students move from understanding basic likelihood to analyzing mathematical fairness and building their own chance-based simulations.

The Rigged Game

Students explore probability vocabulary and the likelihood of events through hands-on stations and a "rigged" introductory game.

Possibility Pathways

Focuses on constructing sample spaces using lists, tables, and tree diagrams to calculate theoretical probability.

Carnival Crimes

Students analyze carnival games to determine mathematical fairness by comparing the probability of winning versus losing.

Game Architect

Students apply their knowledge to design their own probability-based games with specific winning conditions.

The Casino Test

Students test their designed games, collect data, and compare experimental results to their theoretical predictions.

Probability Arcade

A comprehensive 7th-grade unit exploring probability through game design, where students move from understanding basic likelihood to analyzing mathematical fairness and building their own chance-based simulations.

Challenge Questions:

1. How many total outcomes are in the sample space?

2. What is the probability of rolling a sum of 7? [ P(7) ]

3. What is the probability of rolling a sum of 12?

4. Is rolling a 7 MORE LIKELY or LESS LIKELY than rolling a 2?

Challenge Answers:

  1. 1. Total Outcomes in Sample Space: 36
  2. 2. Probability of Sum of 7: 6/36 or 1/6 (approx 16.7%)
  3. 3. Probability of Sum of 12: 1/36 (approx 2.8%)
  4. 4. More/Less Likely (7 vs 2): 7 is MORE LIKELY (6 ways vs 1 way)

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