Explore ways of colouring this set of triangles. Can you make
Investigate these hexagons drawn from different sized equilateral
Can you find out how the 6-triangle shape is transformed in these
tessellations? Will the tessellations go on for ever? Why or why
Are all the possible combinations of two shapes included in this
set of 27 cards? How do you know?
Find all the different shapes that can be made by joining five
equilateral triangles edge to edge.
Arrange the shapes in a line so that you change either colour or
shape in the next piece along. Can you find several ways to start
with a blue triangle and end with a red circle?
How many different ways can you find to join three equilateral
triangles together? Can you convince us that you have found them
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
What do these two triangles have in common? How are they related?
Move four sticks so there are exactly four triangles.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
What do you think is the same about these two Logic Blocks? What
others do you think go with them in the set?
This interactivity allows you to sort logic blocks by dragging their images.
Make an equilateral triangle by folding paper and use it to make
patterns of your own.
Can you dissect an equilateral triangle into 6 smaller ones? What
number of smaller equilateral triangles is it NOT possible to
dissect a larger equilateral triangle into?
What shape is the overlap when you slide one of these shapes half
way across another? Can you picture it in your head? Use the
interactivity to check your visualisation.
Can you each work out what shape you have part of on your card?
What will the rest of it look like?
This activity challenges you to make collections of shapes. Can you
give your collection a name?