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.
Learn about Pen Up and Pen Down in Logo
Follow these instructions to make a three-piece and/or seven-piece
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
Learn to write procedures and build them into Logo programs. Learn to use variables.
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
Make some celtic knot patterns using tiling techniques
Make a mobius band and investigate its properties.
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.
It might seem impossible but it is possible. How can you cut a
playing card to make a hole big enough to walk through?
A game to make and play based on the number line.
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!
Make a spiral mobile.
Surprise your friends with this magic square trick.
Turn through bigger angles and draw stars with Logo.
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?
Ideas for practical ways of representing data such as Venn and
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.
Have a go at drawing these stars which use six points drawn around
a circle. Perhaps you can create your own designs?
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?
What happens when a procedure calls itself?
More Logo for beginners. Now learn more about the REPEAT command.
Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?
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. . . .
This package contains hands-on code breaking activities based on
the Enigma Schools Project. Suitable for Stages 2, 3 and 4.
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.
Use the tangram pieces to make our pictures, or to design some of
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?
Can you describe what happens in this film?
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.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
Follow these instructions to make a five-pointed snowflake from a
square of paper.
It's hard to make a snowflake with six perfect lines of symmetry,
but it's fun to try!
This article for students gives some instructions about how to make some different braids.
Can you order pictures of the development of a frog from frogspawn
and of a bean seed growing into a plant?
This practical activity involves measuring length/distance.
Follow the diagrams to make this patchwork piece, based on an
octagon in a square.
A description of how to make the five Platonic solids out of paper.
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.
Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?
Kaia is sure that her father has worn a particular tie twice a week
in at least five of the last ten weeks, but her father disagrees.
Who do you think is right?
This is a simple paper-folding activity that gives an intriguing result which you can then investigate further.