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In 1796, Gauss discovered that every positive integer is representable as a sum of three triangular numbers, writing in his diary his famous words, "ΕΥΡΗΚΑ! num = Δ + Δ + Δ".

TRIANGLE NUMBERS

Key questions

  1. What are linear sequences?

  2. Do we recall how to generalise a linear sequence?

  3. What are square and cube numbers?

  4. How are triangular numbers formed and generalised?

  5. Can we problem solve with triangle numbers?

4 lessons

Specification details

binomial expansion.png

Literacy

  • stories that set a frame or background

  • stories that accompany or intertwine

  • stories that introduce

  • stories that explain

  • stories that ask a question

  • stories that entertain

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