1. Skills for Life Support Programme T: 0118 902 1920 F: 0845 838 1207 E: sflenquiries@cfbt.com W: www.excellencegateway.org.uk/sflsp The Skills for Life Support Programme is delivered on behalf of the Learning and Skills Improvement Service by CfBT Education Trust and partners CfBT Education Trust 60 Queens Road Reading RG1 4BS 2.9 Pythagoras Theorem Teacher training package for preparatory Course for numeracy specialists

2. Skills for Life Support Programme Pythagoras Theorem Draw squares off each side of the triangle. Take a right angled triangle with sides of 5cm, 4cm and 3cm.

3. Skills for Life Support Programme We need to show that the sum of the areas of the two smaller squares… … is equal to the area of the larger square. Pythagoras Theorem

4. Skills for Life Support Programme Pythagoras Theorem We can move the smallest square onto the largest square.

5. Skills for Life Support Programme Pythagoras Theorem The middle square can be cut up.

6. Skills for Life Support Programme Pythagoras Theorem … will fit here

7. Skills for Life Support Programme Pythagoras Theorem We can cut out a square from this section…

8. Skills for Life Support Programme Pythagoras Theorem … and place the larger section here.

9. Skills for Life Support Programme Pythagoras Theorem …will fit here Would this work with any right-angled triangle? The small square…

10. Skills for Life Support Programme Pythagoras Theorem Useful links http://en.wikipedia.org/wiki/Pythagorean_theorem http://www.mathsisfun.com/pythagoras.html http://www.ies.co.jp/math/java/samples/pytha2.html