Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
Write a Logo program, putting in variables, and see the effect when you change the variables.
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.
Learn to write procedures and build them into Logo programs. Learn to use variables.
Learn about Pen Up and Pen Down in Logo
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 some celtic knot patterns using tiling techniques
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.
Did you know mazes tell stories? Find out more about mazes and make one of your own.
Make a mobius band and investigate its properties.
Make a cube with three strips of paper. Colour three faces or use the numbers 1 to 6 to make a die.
A game to make and play based on the number line.
Make a spiral mobile.
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. . . .
Make a clinometer and use it to help you estimate the heights of tall objects.
Make a ball from triangles!
Using these kite and dart templates, you could try to recreate part of Penrose's famous tessellation or design one yourself.
Can you make the birds from the egg tangram?
More Logo for beginners. Now learn more about the REPEAT command.
Turn through bigger angles and draw stars with Logo.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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.
How can you make a curve from straight strips of paper?
Use the tangram pieces to make our pictures, or to design some of your own!
What happens when a procedure calls itself?
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?
Make an equilateral triangle by folding paper and use it to make patterns of your own.
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.
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?
This package contains hands-on code breaking activities based on the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
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.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.
What shapes can you make by folding an A4 piece of paper?
It's hard to make a snowflake with six perfect lines of symmetry, but it's fun to try!
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?
This article for students gives some instructions about how to make some different braids.
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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 describe what happens in this film?
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
This activity investigates how you might make squares and pentominoes from Polydron.