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

Shapes built from squares x x Area = 2x x x x Area = 3x

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

Tetrominoes Area = 4x

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

Pentominoes Area = 5x Total = 12

Pentominoes

Hexominoes Area = 6x Total = 35

Heptominoes Area = 7x Total = 108

Keep going… Squares Total 2 domino 1 3 tromino 4 tetromino 5 pentomino 12 6 hexomino 35 7 heptomino 108 8 octomino 369 9 nonomino 1,285 10 decomino 4,655 11 undecomino 17,073 dodecomino 63,600

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

Drawing QUADRANTS y 3cm 3cm

Create two different shapes to show the area 2y

Create three different shapes to show the area 3y

Try and find as many shapes that make 4y

Animal quadrants!

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

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

Squares and quadrants

Squares and quadrants

Squares and quadrants

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

Squares and quadrants

Squares and quadrants

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

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

Work out the area of these shapes

Find these areas Shape 3 Shape 1 Shape 2 Shape 4

These two shapes have the same area. True!