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Julie Roberts (NZCER)

Delve into characteristics of rich tasks with examples like Alien Numbers, Multiples and Factors, and Angle Detective. Uncover how to create engaging tasks that foster student development. Reflect on cluster balance and enhance math skills.

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Julie Roberts (NZCER)

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  1. What makes a task rich? Julie Roberts (NZCER)

  2. Discuss at your table, what makes a task rich.

  3. Rich tasks provide opportunities for students to purposefully develop aspects of their capabilities at the same time as they learn "content" and/or develop skills. • Any rich task will have a mix of these characteristics: • The purpose is clear • The task is doable • Differentiation is built in • They are both cognitively and emotionally rich • They foster agency • Students’ thinking is made visible

  4. Task 1 Alien Numbers

  5. As a group reflect on the task. Characteristics facing up. Select 5 – 6 characteristic cards that reflect that task. What do you notice about the cluster balance?

  6. Six rich task clusters • Agency • Extending learning • Using meaningful contexts • Empowering knowledge / building insight • Building knowledge • Assessment

  7. Task 2- Multiples and Factors This is a game for two players or in pairs. The first player chooses a positive even number that is less than 50, and places a counter on the number. The second player chooses a number to put a counter on. The number must be a factor or multiple of the first number. Players continue to take it in turns to place counters on numbers, at each stage choosing a number that is a factor or multiple of the number just put a counter on by the other player. The first person who stops their partner from placing a counter is the winner. Online version - https://nrich.maths.org/5468

  8. As a group reflect on the task. Characteristics facing up. Select 5 – 6 characteristic cards that reflect that task. What do you notice about the cluster balance?

  9. Task 3 - Angle Detective You are a detective and need to find the angles of each of these pattern blocks without using a protractor. The only clues you have are the angles of the pattern blocks. Using only pattern blocks, find the exact measurement of each pattern block. Record you solutions and strategies on a separate sheet of paper. NCTM 2018 Vol 25. No. 3 p.138

  10. As a group reflect on the task. Characteristics facing up. Select 5 – 6 characteristic cards that reflect that task. What do you notice about the cluster balance?

  11. Bonus task - Popcorn box Your challenge is to make a popcorn box using the grid paper. You want to get the most popcorn! Prove your box will hold the most by capturing the maths!

  12. On reflection, I need to… I am wondering… Today I discovered…

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