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Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Follow these instructions to make a three-piece and/or seven-piece tangram.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Make an equilateral triangle by folding paper and use it to make patterns of your own.
Learn about Pen Up and Pen Down in Logo
Write a Logo program, putting in variables, and see the effect when you change the variables.
Make a clinometer and use it to help you estimate the heights of tall objects.
Learn to write procedures and build them into Logo programs. Learn to use variables.
It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
Have you noticed that triangles are used in manmade structures? Perhaps there is a good reason for this? 'Test a Triangle' and see how rigid triangles are.
Surprise your friends with this magic square trick.
Make some celtic knot patterns using tiling techniques
Make a mobius band and investigate its properties.
A game to make and play based on the number line.
Did you know mazes tell stories? Find out more about mazes and make one of your own.
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Make a spiral mobile.
Make a ball from triangles!
Can you make the birds from the egg tangram?
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
More Logo for beginners. Now learn more about the REPEAT command.
Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.
Use the tangram pieces to make our pictures, or to design some of your own!
How can you make a curve from straight strips of paper?
Turn through bigger angles and draw stars with Logo.
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?
You could use just coloured pencils and paper to create this design, but it will be more eye-catching if you can get hold of hammer, nails and string.
This package contains hands-on code breaking activities based on the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Ideas for practical ways of representing data such as Venn and Carroll diagrams.
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
How is it possible to predict the card?
In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
Can you describe what happens in this film?
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
What shapes can you make by folding an A4 piece of paper?
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Galileo, a famous inventor who lived about 400 years ago, came up with an idea similar to this for making a time measuring instrument. Can you turn your pendulum into an accurate minute timer?
Follow these instructions to make a five-pointed snowflake from a square of paper.
This article for students gives some instructions about how to make some different braids.
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
What happens when a procedure calls itself?
As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.