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Thursday 2 May 2013

Interactive Pythagoras

In an attempt to implement Dan Meyer's style of finding out which information is required to solve a problem, I inroduced strings, spiders and flies to my revision lesson on Pythagoras and Trigonometry.

Excuse the Perspective Please! Open-ended cuboid with string diagonally across, requiring 3D Pythagoras.

3 cuboids with one open end were constructed, with a piece of string running diagonally from the bottom left corner in the diagram to the nearmost top right hand corner. Students were then challenged to find the length of the string. At the end of the exercise, they were quite excited to rip the boxes open and check whether they were correct!

For the second activity, a spider was placed on one side of the room and a fly on the other side. They were asked to find the shortest distance that spider could travel to get to eat the fly.

A combination of 7 boys each holding metre rulers across the room as they were unconvinced that the room didn't have exactly parallel walls and ceiling/floor. Shortening of the route by going diagonally across the ceiling came quickly, but going diagonally across the whole route became a little more difficult. This practical is based upon the following worksheet question:



My hate of fizzy drinks meant that I didn't do this question today, but it might also be a good investigation for the future.