1. Develop algebra through geometry and shape.
Learning outcomes
We are learning to….
Develop algebra through geometry and shape.

2. Shapes built from squaresx x
Area = 2x x x x
Area = 3x

3. x x x x Area = 4x There are five different TETROMINOES…..
Shapes built from squares
There are five different TETROMINOES….. x x x x
Area = 4x

4. Tetrominoes
Area = 4x

5. Use 5 squares to find as many PENTOMINOES as you can.x x x x x
Area = 5x

6. Pentominoes
Area = 5x
Total = 12

7. Pentominoes

8. Hexominoes
Area = 6x
Total = 35

9. Heptominoes
Area = 7x
Total = 108

10. Keep going… Squares Total 2 domino 1 3 tromino 4 tetromino 5 pentomino12 6
hexomino 35 7
heptomino
108 8
octomino
369 9
nonomino
1,285 10
decomino
4,655 11
undecomino
17,073
dodecomino
63,600

11. Introducing QUADRANTS
Area = y
Area = x y x
3cm
3cm

12. Drawing QUADRANTS y
3cm
3cm

13. Create two different shapes to show the area 2y

14. Create three different shapes to show the area 3y

15. Try and find as many shapes that make 4y

16. Animal quadrants!

17. The golden spiral!
Quadrants inside squares of size 1, 1, 2, 3, 5, 8, 13, 21 and 34

18. Squares and quadrants (a) x + y (b) 3x + y (c) x + 3y (d) 4x + 3y
Draw shapes that represent;
(a) x + y
(b) 3x + y
(c) x + 3y
(d) 4x + 3y

19. Squares and quadrants

20. Squares and quadrants

21. Squares and quadrants

22. How many different ways can you find of writing the areas of these shapes?b) c) e) d) f)

23. Squares and quadrants

24. Squares and quadrants

25. Using a new tile Work out the area of the shape
Use three colours and label each separate tile. One has been done for you.
Work out the area of the shape

26. Using a new tile Work out the area of the shape
Use three colours and label each separate tile. One has been done for you.
Work out the area of the shape

27. Work out the area of these shapes

28. Find these areas
Shape 3
Shape 1
Shape 2
Shape 4

29. These two shapes have the same area. True!