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