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Lesson Plan

10. Apply experimental probabilities to estimate quantities: Coin conundrum (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
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.7a http://corestandards.org/Math/Content/7/SP/C/7/a
teaches Common Core State Standards CCSS.Math.Content.7.SP.C.7b http://corestandards.org/Math/Content/7/SP/C/7/b
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Lesson objective: Apply experimental probabilities to estimate the quantity of each coin, and the total amount of money, in a mystery bag of change.

This lesson provides an opportunity for students to apply their knowledge and understanding of experimental probabilities to a real-life situation. Students are asked to calculate experimental probabilities and use them to estimate how much money is in the bag.

Key Concept students will use: 

  • The actual frequency of an event occurring is not expected to be exactly the same as the predicted frequency in a probability model. The accuracy improves as we increase the number of observations.

Skills students will use:

  • Calculating experimental probabilities
  • Proportional reasoning with percents (Grade 7, Unit 3)
  • Rounding (Grade 5, Unit 6)

Students engage in Mathematical Practice 4 (Model with mathematics) as they model a real-world problem of estimating the amount of money in the bag, using experimental probability.

Key vocabulary: 

  • experimental probability
  • observations

Special materials needed:

  • optional: a bag of coins for students to follow up the lesson with their own experiment
Related content

Appears in

Probability of simple events

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