This resource contains two excel files which encourage exploration of the background to Pythagoras' Theorem and give practice in its application. Each file contains the same nine sheets of questions which may be suitable for use in the classroom.
This excel file contains sheets which illustrate and explore the background to Pythagoras' Theorem. The first sheet shows that squares can be in different orientations, some of them being shown on a coordinate grid. The next sheet shows one side of a square and students need to identify the possible coordinates of the remaining vertices. Then students are shown a square on a coordinate grid (where the orientation and size of the square can be altered) and the problem is to see if the area of a square is always a square number. The next sheet allows students to input square numbers and see the graph of y=x2 plotted. The final interactive sheets allow students to explore Pythagoras's Theorem using diagrams either shown on coordinate grids or with no numbers visible.
The first set of eight interactive sheets present problems involving lengths and areas related to rectangles, squares, isosceles triangles and rhombuses. Calculators need to be used and answers are given to one decimal place. The next interactive sheet deals with the 3D problem of finding the length of the longest stick in a box. The final sheet returns to 2D problems with the answers given to two decimal places.
This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users' machines.