Step 8 Objective

Interpret, discuss and synthesise information presented in a variety of mathematical forms. Begin to explain reasons for selection and use of diagrams.


Examples of what pupils should know and be able to do

a diagram with a two by two grid and a two by three grid

Shading Squares
There are six different ways to shade two squares in this shape. Can you find them all?

 

What about this shape?

How many ways are there?

Try using different rectangles made up of more squares.

Try shading three squares.

Examples drawn from Shading Squares

Produce all the ways of shading in two squares out of four, six and eight squares - may develop to three squares out of six, etc.

6 ways of shading 2 squares

15 ways of shading in 2 squares on a rectangle

20 ways of shading in 3 squares out of 6