1. Support for English, maths and ESOL Module 7: Shape and space master class

2. Pythagoras’ theorem
Take a right-angled triangle with sides of 5cm, 4cm and 3cm.
Draw squares off each side of the triangle.

3. Pythagoras’ theorem … is equal to the area of the larger square.
We need to show that the sum of the areas of the two smaller squares…

4. Pythagoras’ theorem
We can move the smallest square onto the largest square.
We can move the smallest square onto the largest square.

5. Pythagoras’ theorem
The middle square can be cut up.

6. Pythagoras’ theorem
… will fit here

7. Pythagoras’ theorem
We can cut out a square from this section…

8. Pythagoras’ theorem
… and place the larger section here.

9. Pythagoras’ Theorem …will fit here The small square…
Would this work with any right-angled triangle?

10. Pythagoras’ theorem
c2 = a2 + b2 c
(hypotenuse) a b 10

11. Trig ratios Sin 600 = opp hyp 600 Cos 600 = adj hyp hyp.
Tan 600 = opp adj
adj.
SOH CAH TOA
opp. 11

12. Trigonometry – scalene trianglesx a b x z y c A B y z C 12

13. Pythagoras’ theorem Useful links