Lesson plan

10. Apply experimental probabilities to estimate quantities: Coin conundrum (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.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
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
Quick assign

You have saved this lesson plan!

Here's where you can access your saved items.

Content placeholder

or to view additional materials

You'll gain access to interventions, extensions, task implementation guides, and more for this lesson plan.

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