Dice Football Part 2: Competition Design

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Summary:

In this lesson students will try and solve a real life problem which will require them to design a competition where every team plays each other once.

Australian Curriculum Links:

  • Continue and create sequences involving whole numbers, fractions and decimals.  Describe the rule used to create the sequence      (ACMNA133)

Lesson:

Introduction:
  1. Say to the students, Each year Andrew Demetriou and his team are in charge of designing the AFL fixture. Today you will have a similar role to play.
Body:
  1. Introduce the problem, “there are 21 teams who wish to compete in  our dice football competition”- Your task, working in 2’s or 3’s is to design a football draw where each team plays each other once as well as each team gets a bye.
  2. This task may seem simple where students go 1 v 2, 3 v4, 5 v 6 etc. Butt hey will soon encounter some problems along the way.
  3. After some frustrations occurring, break down the problem and invite students to share their strategies.
  4. Teacher should be roaming around offering support to students.
  5. Talk to the students about the process and how to solve the problem rather than the process.

Conclusion:

  1. Discuss what patterns are occurring. Can you see something?

 

Assessment:

  • Anecdotal Notes- But mostly focus on the process rather than the outcome.

Resources:

  • Maths Books

 

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