Posts by: toni
Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral which is made up of quarter circles. Watch this inspirational video.
Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles […]
A staircase has 12 steps. You can go down the steps one at a time or two at time.
For example:
You could go down 1 step, then 1 step, then 2 steps, then 2, 2, 1, 1, 1, 1 as in the picture.
In how many different ways […]
Follow the instructions below to make your own Magic Egg tangram or download the template and cut out the pieces.
You can make many birds from the 9 puzzle pieces of the Magic Tangram Egg.
Break the egg and re-assemble the 9 pieces to hatch one of many varieties of birds.
Is it possible to draw a 5-pointed star without taking your pencil off the paper?
When you turn this star around it looks exactly the same in 5 different positions so we say it has ROTATIONAL SYMMETRY of order 5.
Is it possible to draw a 6-pointed star in the same way […]
You are a detective and you have to discover what digits the question marks stand for. They can be any digit from 0 to 9 and they can be the same digit or different digits.
How will you find the missing digits?
What do you notice?
How many solutions are there to the calculations?
What clues […]
(1) You will need a collection of cups, either disposable cups like the ones shown or any mugs and cups you have available. You will also need some water and a measuring jug.
Which cup would you fill with water if you are really thirsty and want a lot to drink?
Arrange […]
For your company, you have to design spinning tops made from two pieces glued together, a hemisphere and a cone, and you have to plan how they will be manufactured, packaged and sold.
(1) The radius of the circular surface where the pieces are glued together is 3 cm. The slant […]
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 […]
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