An environment that enables you to investigate tessellations of
Given a 2 by 2 by 2 skeletal cube with one route `down' the cube.
How many routes are there from A to B?
How many different shaped boxes can you design for 36 sweets in one
layer? Can you arrange the sweets so that no sweets of the same
colour are next to each other in any direction?
Can you cut a regular hexagon into two pieces to make a
parallelogram? Try cutting it into three pieces to make a rhombus!
Explain how the thirteen pieces making up the regular hexagon shown
in the diagram can be re-assembled to form three smaller regular
hexagons congruent to each other.
Draw three straight lines to separate these shapes into four groups
- each group must contain one of each shape.
Sally and Ben were drawing shapes in chalk on the school
playground. Can you work out what shapes each of them drew using
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?
What shape and size of drinks mat is best for flipping and catching?
Make an estimate of how many light fittings you can see. Was your
estimate a good one? How can you decide?
These pictures were made by starting with a square, finding the
half-way point on each side and joining those points up. You could
investigate your own starting shape.
A very mathematical light - what can you see?
Thinking of circles as polygons with an infinite number of sides -
but how does this help us with our understanding of the
circumference of circle as pi x d? This challenge investigates. . . .
This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.
This investigation explores using different shapes as the hands of
the clock. What things occur as the the hands move.
Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?
Use the isometric grid paper to find the different polygons.
This LOGO challenge starts by looking at 10-sided polygons then
generalises the findings to any polygon, putting particular
emphasis on external angles
What happens if you join every second point on this circle? How
about every third point? Try with different steps and see if you
can predict what will happen.