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Teaching with Technology - Resource Description

Illuminations: Explorations with Chance

Program

ASE: High School Diploma

Example Web Site and/or Technical Equipment Required

http://illuminations.nctm.org/Lesson.aspx?id=1145 new window
Computer(s), Internet access

Activity Description

In this activity, students analyze the fairness of certain games by examining the probabilities of the outcomes. The explorations provide opportunities to predict results, play the games, and calculate probabilities. Students should have had prior experiences with simple probability investigations, including flipping coins, drawing items from a set, and making tree diagrams. They should understand that the probability of an event is the ratio of the number of successful outcomes to the number of possible outcomes.

Preparation

  1. Review the detailed Lesson Planexternal link opens new browser window or tab.
  2. Make copies of the three activity sheets found on the site:
    • Is it Fair
    • A Fair Hopper
    • Happy Hopper
  3. Gather other materials on the list under the Materials button.

How-To

Activity 1 – Is It Fair
  1. Divide students into groups.
  2. Pass out Is It Fair activity sheet and needed materials.
  3. Give students time to complete the activity.
  4. Walk around the room and assist as needed.
  5. Discuss any new versions of a chip game.
Activity 2 – A Fair Hopper
  1. Pass out A Fair Hopper activity sheet and needed materials.
  2. Demonstrate the game.
  3. Give students time to complete the activity.
  4. Walk around the room and assist as needed.
  5. Discuss their findings.
Activity 3 – Happy Hopper
  1. Pass out the Happy Hopper activity sheet
  2. and needed materials.
  3. Demonstrate the game.
  4. Give students time to complete the activity. Students may need additional time
  5. due to the complexity of the game.
  6. Walk around the room and assist as needed.
  7. Discuss their findings.

Teacher Tips

Follow the steps from your chosen lesson (see Prep). The lessons are prepared with learning objectives, material, instructional plan, questions for students, assessment options, and more.

More Ways

  • Explore the library of Interactives external link opens new browser window or tab These activities help to make math come alive. Use the Dynamic Paper tool external link opens new browser window or tab to create your own PDF activity sheets.
  • If you want to do any of these as a whole class activity, you may need a computer and projector for class viewing.

Subjects

Math

Subject Subcategories

Math