Similar Shapes L.O. All pupils can draw similar shapes All pupils can prove why their shapes are similar Most pupils can prove how areas of shapes change as the scale factor changes Some pupils can prove how volumes of shapes change as the scale factor changes

Starter: Draw three similar shapes in your book. draw similar shapes Draw three similar shapes in your book. Ext. Describe/prove why they are similar.

Similar Shapes L.O. All pupils can draw similar shapes All pupils can prove why their shapes are similar Most pupils can prove how areas of shapes change as the scale factor changes Some pupils can prove how volumes of shapes change as the scale factor changes

prove shapes are similar Main 1: prove shapes are similar Read your partner’s proof. Is it adequate? Why/why not? Write your own proof as to why the shapes are similar. Ext. What is required to prove shapes are similar?

Similar Shapes L.O. All pupils can draw similar shapes All pupils can prove why their shapes are similar Most pupils can prove how areas of shapes change as the scale factor changes Some pupils can prove how volumes of shapes change as the scale factor changes

how areas of shapes change as the scale factor changes Main 2: how areas of shapes change as the scale factor changes 1. Draw two new similar shapes in your book. 2. Prove they are similar. 3. Clearly write down their scale factor. 4. Find the area of one of the shapes. 5. Predict the area of the other shape. 6. Find the area of the second shape. 7. Were you correct? Why/why not?

how areas of shapes change as the scale factor changes Main 2: how areas of shapes change as the scale factor changes What did you find?

how areas of shapes change as the scale factor changes Main 2: how areas of shapes change as the scale factor changes Show it works with three more pairs of similar shapes.

Similar Shapes L.O. All pupils can draw similar shapes All pupils can prove why their shapes are similar Most pupils can prove how areas of shapes change as the scale factor changes Some pupils can prove how volumes of shapes change as the scale factor changes

Main 3: 1. Draw two new similar 3D shapes in your book. how areas of shapes change as the scale factor changes how volumes of shapes change as the scale factor changes 1. Draw two new similar 3D shapes in your book. 2. Prove they are similar. 3. Clearly write down their scale factor. 4. Find the surface areas of the shapes. 5. What’s the scale factor for the surface area? Is it what you expected? 6. Find the volume of one shape. 7. Predict the volume of the second shape. 8. Find the volume of the second shape. Were you correct with your prediction?

Similar Shapes L.O. All pupils can draw similar shapes All pupils can prove why their shapes are similar Most pupils can prove how areas of shapes change as the scale factor changes Some pupils can prove how volumes of shapes change as the scale factor changes