Lesson plan

10. Ashley's big test: Designing an experiment for compound events (A)

teaches Common Core State Standards CCSS.Math.Content.7.SP.C.8c http://corestandards.org/Math/Content/7/SP/C/8/c
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
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Lesson objective: Apply simulations to a real world situation.

This lesson provides an opportunity for students to apply their knowledge and understanding of simulations and compound probability to a real-life situation. Students are asked to design a simulation to model guessing on five multiple-choice questions with four answer choices.

Key Concept students will use: 

  • We can design simulations to generate frequencies for compound events, and then compare the observed frequencies to the expected frequencies.

Skills students will use:

  • generating frequencies to simulate compound events that have a probability of success that is \(\frac14\).
  • addition to find probabilities for an "at least" problem
  • comparison of experimental probability to theoretical probability

Students engage in Mathematical Practice 5 (use appropriate tools strategically) as they model a situation using a probability simulation.

Key vocabulary: 

  • expected frequency
  • experimental probability
  • observed frequency
  • relative frequency
  • simulation
  • theoretical probability

Special materials needed:

  • calculator
  • colored chips
  • colored cubes
  • colored marbles
  • coins
  • deck of cards
  • number cubes
  • spinners
  • tickets