Session 1 · SOLVE: Explain
Prepare the showcase
- 10 minShowcase structure: the pattern, the rule four ways, the tested prediction, the proof picture, and the limits.
- 35 minMake the poster, slides, model or short video. Set one challenge for visitors: 'Can you find a case that breaks my rule?'
- 5 minRehearse a 90-second explanation with a partner.
Session 2 · SOLVE: Explain
Reasoning showcase
- 35 minPresent to whānau and a partner class. Visitors test your rule on a new case and try to break it.
- 10 minRecord every challenge and how you answered it.
- 5 minReflect: what convinced people most, the numbers, the graph or the picture-proof?
Getting started
Explain with one table, one rule and one picture.
Stretch
Write a proof that works for any step number n, using algebra as well as a picture.
Checkpoint
The explanation would convince a mathematician who had never seen the pattern, and states where the rule stops being true.
Useful this week
- Triangular numbers ↗ Pictures and rules to help you explain your proof.