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Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
Jenny Murray describes the mathematical processes behind making patchwork in this article for students.
Have you ever noticed how mathematical ideas are often used in patterns that we see all around us? This article describes the life of Escher who was a passionate believer that maths and art can be intertwined.
This article looks at the importance in mathematics of representing places and spaces mathematics. Many famous mathematicians have spent time working on problems that involve moving and mapping things.
What happens to these capital letters when they are rotated through one half turn, or flipped sideways and from top to bottom?
These grids are filled according to some rules - can you complete them?
Can you cut up a square in the way shown and make the pieces into a triangle?
Find a way to cut a 4 by 4 square into only two pieces, then rejoin the two pieces to make an L shape 6 units high.
Cut a square of paper into three pieces as shown. Now,can you use the 3 pieces to make a large triangle, a parallelogram and the square again?
Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?