Lesson plan

7. Applying probabilities: Spinner winner (A)

teaches Common Core State Standards CCSS.Math.Content.7.RP.A.3 http://corestandards.org/Math/Content/7/RP/A/3
teaches Common Core State Standards CCSS.Math.Content.7.SP.C.5 http://corestandards.org/Math/Content/7/SP/C/5
teaches Common Core State Standards CCSS.Math.Content.7.SP.C.6 http://corestandards.org/Math/Content/7/SP/C/6
teaches Common Core State Standards CCSS.Math.Content.7.SP.C.7a http://corestandards.org/Math/Content/7/SP/C/7/a
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
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Lesson objective: Apply using theoretical probabilities to make predictions about quantities.

This lesson provides an opportunity for students to apply their knowledge and understanding of theoretical probabilities to a spinner game choice situation. Students are asked to analyze which spinner will give Susan the best chance of winning at least 40 prize tickets.

Key Concept students will use: 

  • The probability of a simple event is the same as the ratio of the number of favorable outcomes to the number of possible outcomes. This may be expressed as a decimal between 0 and 1, with 0 being impossible, and 1 being certain to occur.

Skills students will use:

  • calculating theoretical probabilities 
  • proportional reasoning (grade 7, unit 2)

Students engage in Mathematical Practice 4 (Model with mathematics) as they model the real-world analysis of two spinners using probability and proportional reasoning.

Key vocabulary: 

  • theoretical probability