Prompt 1: Pythagoras 1

  1. How do you begin the teaching of Pythagoras? Would you use any of these cells? If you were to use a hook, can you think of one more appropriate to your own style/to your local context?
  2. Would you consider utilising a student in the room to walk 3 paces left – then turn quarter of a turn – then 4 paces up – then count how many paces it takes to walk back to the starting point? Why would/wouldn’t you do this?
  3. Are there any high landmarks nearby which you could apply to Cell 3? What would be the approximate view distance from the top of Mount Everest? or from the cruising height of a plane?
  4. If you think Cell 3 and Cell 4 should be reserved for extension work, which other extension tasks/questions might you use?
  5. Cell 4: Fermat’s Last Theorem (5 minute clip)

One thought on “Prompt 1: Pythagoras 1

  1. I’m not keen on 4, I must admit. Pythagoras’ theorem _does_ extend to higher powers in the sense that there is a concept of length in which the length of the third side is related to the lengths of the other two via `c^n = a^n + b^n` (with conditions on the triangle, which actually get a bit tedious to state).

    On the other hand, Fermat’s Last Theorem asks for _integer_ solutions, which strictly is not related to Pythagoras’ theorem but merely inspired by it.

    Whereas for 1, I’m now wondering whether for such a large triangle the curvature of the Earth would mean that Pythagoras’ theorem was actually false! So I like that one!

    Like

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s