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QUADRATIC MODELLING. A journey into different representations. Waterslide. Where’s the maths?. Herbert Simon Father of problem solving research. “ solving a problem simply means representing it so as to make the solution transparent.”.

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Quadratic modelling

QUADRATIC MODELLING

A journey into different representations




Herbert simon father of problem solving research
Herbert SimonFather of problem solving research

“solving a problem simply means representing it so as to make the solution transparent.”

WHAT DOES THIS MEAN IN RELATION TO THE ALGBERA WE HAVE BEEN STUDYING?


Two contexts
Two contexts…

  • Motion

  • http://dsc.discovery.com/videos/mythbusters-waterslide-wipeout/

  • Design



Mathematising what are x and y
mathematising’what are x and y?


Tennis scenario
Tennis scenario

  • Jonah uses a tennis racket to hit a stone straight up into the air. The height, , in metres, of the stone after seconds is given by the formula . Use this equation to work out at what time the stone returns to the ground.


Measurement scenario
Measurement scenario

  • The diagram shows a rectangular play-pen labelled ABCD. The perimeter is 36m and the area is 80m2. Form a quadratic equation and solve it to calculate .