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Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?
Take a look at the video and try to find a sequence of moves that will take you back to zero.
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?
A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
How is it possible to predict the card?
Investigate how logic gates work in circuits.
Look carefully at the video of a tangle and explain what's happening.
Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?
Here is a chance to create some Celtic knots and explore the mathematics behind them.
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
When is a knot invertible ?
A video clip of Jo Boaler talking about Complex Instruction.
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.
Can you explain how Galley Division works?
Video showing how to use the Number Plumber
Watch the video to see how Charlie works out the sum. Can you adapt his method?
BOOKING OPEN!! A FREE professional development day for NQTs.
The Enigma Project's James Grime has created a video code challenge. Watch it here!