Posts by: toni
There are hundreds of proofs of Pythagoras Theorem.
This diagram shows a proof.
Look carefully. Can you see three squares?
Assuming that they are squares, can you prove that four of the triangles are congruent?
Can you now write down a proof of Pythagoras’ Theorem and explain the proof?
The second diagram […]
Click here for Learner’s worksheet with instructions for measuring angles and doing geometrical constructions.
Accurately copy the following patterns and vary them to make your own designs.
1. ENVELOPE PATTERNS WITH STRAIGHT LINES
Draw two base lines and mark the same number of points at equal distances along each line. Join […]
You will need some water and a collection of jars and bottles of different sizes and shapes like those in the picture, or a mixture of jars or bottles and paper cups of different shapes and sizes.
Which holds the most? Which holds the least? How could you find out? Explore!
Put […]
Complete the calculations in the picture.
What do you notice?
To explain how the patterns of numbers arise:
Either multiply by (10 – 1) instead of multiplying by 9
or use the table below, first completing the calculations on each line.
First make 6 paper sticks, all the same length, by rolling paper tightly round pieces of string and securing with sticky tape. Then make a rhombus by tying together 5 sticks to make 2 equilateral triangles. Use the rhombus and the one remaining stick to make a shape with […]
Twenty per cent of the inhabitants of a city have been inoculated against a certain disease. An epidemic hits the city and the chance of infection amongst those inoculated is 10% but amongst the rest it is 75%.
Copy and fill in the contingency table and the Venn diagram below and use them to answer […]
If you have not already done it click these links to try the Collapsible Cube activity and watch the video.
Make a tetrahedron out of rolled paper sticks. Press it gently.
See that it does not change its shape – it is rigid.
3 squares North,
then diagonally 1 South East,
2 squares North East,
2 squares South,
1 square South West,
4 squares East
then 4 squares south.
Where does he go to and what does he meet on his journey?
Using the 8 compass directions describe a route for Pirate […]
We have six cards, four Aces and the Jack of hearts and Queen of spades in an envelope or bag. You pick 2 cards at random and tell me “I have an Ace”. What is the probability that you have two aces?
Next suppose I pick 2 of the 6 cards at […]
Make a 3D cube out of rolled paper sticks, tied together at the ends. Push your cube gently down and sideways. It will collapse into a 2D shape. Can you collapse your cube into
a 2D rectangle made of 2 squares?
Can you fold […]
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