Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Learn to write procedures and build them into Logo programs. Learn to use variables.
Follow these instructions to make a three-piece and/or seven-piece
Learn about Pen Up and Pen Down in Logo
Logo helps us to understand gradients of lines and why Muggles Magic is not magic but mathematics. See the problem Muggles magic.
Write a Logo program, putting in variables, and see the effect when you change the variables.
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
Make a clinometer and use it to help you estimate the heights of
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Ideas for practical ways of representing data such as Venn and
More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.
Make a cube with three strips of paper. Colour three faces or use
the numbers 1 to 6 to make a die.
Make a ball from triangles!
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
Did you know mazes tell stories? Find out more about mazes and make
one of your own.
What happens when a procedure calls itself?
Turn through bigger angles and draw stars with Logo.
How is it possible to predict the card?
Using these kite and dart templates, you could try to recreate part
of Penrose's famous tessellation or design one yourself.
Make some celtic knot patterns using tiling techniques
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
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 a mobius band and investigate its properties.
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 a spiral mobile.
A game to make and play based on the number line.
More Logo for beginners. Now learn more about the REPEAT command.
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.
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. . . .
How can you make a curve from straight strips of paper?
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.
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?
Use the tangram pieces to make our pictures, or to design some of
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
This article for students gives some instructions about how to make some different braids.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
Can you describe what happens in this film?
A description of how to make the five Platonic solids out of paper.
Follow these instructions to make a five-pointed snowflake from a
square of paper.
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
Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.
If you'd like to know more about Primary Maths Masterclasses, this
is the package to read! Find out about current groups in your
region or how to set up your own.
Here are some ideas to try in the classroom for using counters to investigate number patterns.
What shapes can you make by folding an A4 piece of paper?
This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.
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?