1. What do you see in this picture?
Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
Watch this turtle. Describe his path.
What commands would you give to make the turtle do this?
This activity will help you to start writing programs to command the robot even if you have never done anything like this before and you know nothing about coding. The LOGO language is simple to […]
Complete the calculations in the picture.
What do you notice?
To explain how the patterns of numbers arise:
Either multiply by (10 – 1) instead of multiplying by 9
or use the table below, first completing the calculations on each line.
A tetrahedron and an octahedron, both have equilateral triangular faces.
Can you arrange these 8 polyhedra in a line so that every two polys next to each other have a face of the same shape. The matching faces do not need to be the same size.
Fold a piece of paper in two and tear out half a person. An old newspaper is good for this. Now open out your little person and flatten it. You have made a paper doll that is symmetrical about the fold line. The two halves of the doll on […]
Some arrangements of six squares form the net of a cube, others do not. Explain why the two shaded arrangements are nets of cubes and the two unshaded arrangements are not.
Draw this net and make your own cube.
How many faces, edges and vertices does a cube have?
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