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QUADRATIC MODELLING

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

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  1. QUADRATIC MODELLING A journey into different representations

  2. Waterslide

  3. Where’s the maths?

  4. 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?

  5. Two contexts… • Motion • http://dsc.discovery.com/videos/mythbusters-waterslide-wipeout/ • Design

  6. Modelling motion

  7. ‘mathematising’what are x and y?

  8. 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.

  9. 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 .

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