Copy this pattern. You could use toothpicks or paper sticks or draw the pattern on isometric paper (download here).
Make or draw the next 3 patterns in the sequence.
How many sticks would you need to make the 10th pattern?
What about the 100th pattern?
How do you know?
What do you notice about this shape?
Describe the shapes of the tangram pieces.
What is the same and what is different about the shapes of the tangram pieces?
Make a pattern of your own using all 7 pieces.
How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]
The squares in the diagram are to help us visualise an infinite geometric sum and we are not summing the areas of the squares, simply the lengths along the x-axis. The squares have side lengths given by powers of r: where 0 < r < 1 .
Click on Advent Calendar to go to the NRICH website to find 24 Making Maths activities. These are equally good for all the year round.
You will find instructions for making all sorts of mathematical models and learning aids from very cheap materials that will help you to learn, understand and enjoy mathematics […]
This month we have a link to an Advent Calendar on the NRICH website which gives you a mathematical game when you click on any day in December up to Christmas Eve.
Some of the games you can play on the computer but for many of them do not need a […]
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 […]
Can you fit them together to make an enlargement of the shape? What is its area?
Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?
Is it […]
In March 2014 and February 2015 Bubblz the Mathematical Clown and the Pyraloons built Guinness World Record breaking Balloon Model Sierpinski Pyramids to raise funds for AIMSSEC. The photo shows the triumphant team in a shopping mall in Cambridge, UK and their 6.5 metre high pyramid.
The smallest pyramid is made from […]
How do you find the coordinates of the centre of square 1 if you know that (0, 3), (3, 4), (4, 1) and (1, 0) are vertices?
What are the coordinates of the centre of the 20th square?
Imagine the sequence of […]