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Joseph-Louis Lagrange (1736 –1813), was an Italian mathematician and astronomer, later naturalized French. He made significant contributions to the fields of analysis, number theory, and both classical and celestial mechanics.

CONTINUED FRACTIONS

What links rabbits and fractions?

Key questions

  1. Can we write a product as a sum of squares?

  2. What are continued fractions?

  3. What are the silver and golden means?

  4. What use can we find for continued fractions?

2 lessons

Specification detail

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

The Number Devil by Hans Magnus Enzensburger

Blockhead by Joseph D'Agnese

Introduce...

Title - Key questions

sum of squares - 1

continued fraction card sort - 2

continued fractions - help sheet - 2

mixed number spot the error - 2

Develop...

Title - Key questions

return of the mediant - 1

introducing partial fractions - 1,2

partial quotients - 2

continued fractions - blooms differentiated task cards - 2.3

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