Cut 4 congruent right angled triangles from some scrap paper. Arrange them as shown in diagram […]
You can download the template here and cut it out or make it on card. Try the puzzle yourself.
Either make a square with 5 pieces or make a square with 6 pieces.
If you don’t have a […]
Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TV’s in houses within a certain radius. Because the Earth is spherical, these signals do not get picked up beyond the point of contact of the near horizontal tangent line as illustrated in the sketch.
What is the […]
1a) Double click on the picture above to start the movie showing how to draw a circle using the paperclip compass.
1b) Draw 2 circles of the same radius with centres A and B so that each circle goes through the centre of the other […]
To make a model showing how cubes are made up of three square based pyramids, you will need a cardboard box, some string, some colouring pens and a knife or scissors to cut the box.
From one corner of a box cut squares all exactly the same size to form 3 faces of a […]
Copy this diagram. To draw a cube first draw a square, then draw another square the same size that looks as if it is behind the first square, then join the vertices with four parallel lines.
Why do the diagonals of a unit cube have lengths √2 and √3?
What are the lengths of the […]
Take a sheet of A4 paper. First fold the top left corner to meet the bottom edge and press the fold flat. Then fold the top right corner to meet the edge that you folded down.
Can you prove that the quadrilateral you have made is a kite?
Can you find the perimeter of the […]
Investigating proofs of Pythagoras Theorem by similar triangles and practical jig-saw methods. Extension to the Cosine Rule.
Click here to download a pdf with all you need to run your own professional development workshop.
What does Pythagoras Theorem tell you about these angles?
Use this information to find this sum of squares of sines:
Lick here to download the GRAPHICAL TRIANGLE worksheet