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Multiplication Series: Number Arrays
This article for teachers describes how number arrays can be a useful representation for many number concepts.
problem
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Eight Hidden Squares
7 to 14
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
article
Developing a Classroom Culture That Supports a Problem-Solving Approach to Mathematics
This article offers you practical ways to investigate aspects of your classroom culture.
problem
Triominoes
11 to 14
A triomino is a flat L shape made from 3 square tiles. A chess
board is marked into squares the same size as the tiles and just
one square, anywhere on the board, is coloured red. Can you cover
the board with trionimoes so that only the square is exposed?
problem
Earth Shapes
16 to 18
What if the Earth's shape was a cube or a cone or a pyramid or a
saddle ... See some curious worlds here.
problem
Interpenetrating Solids
16 to 18
This problem provides training in visualisation and representation
of 3D shapes. You will need to imagine rotating cubes, squashing
cubes and even superimposing cubes!
article
A Curious Collection of Bridges
Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!
problem
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Perpendicular Lines
14 to 16
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?