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Method in multiplying madness?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
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spaces for exploration
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
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Frogs
How many moves does it take to swap over some red and blue frogs? Do you have a method?
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Interactive Spinners
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
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Crossed Ends
Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?
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Can they be equal?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
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Keep it simple
Can all unit fractions be written as the sum of two unit fractions?
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How much can we spend?
A country has decided to have just two different coins, 3z and 5z
coins. Which totals can be made? Is there a largest total that
cannot be made? How do you know?
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Charlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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Your number was...
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
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What numbers can we make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
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Forwards Add Backwards
What happens when you add a three digit number to its reverse?
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Where can we visit?
Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?
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Egyptian Fractions
The Egyptians expressed all fractions as the sum of different unit fractions. Here is a chance to explore how they could have written different fractions.
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Farey Sequences
There are lots of ideas to explore in these sequences of ordered fractions.
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Coordinate Patterns
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
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Stars
Can you work out what step size to take to ensure you visit all the dots on the circle?
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Route to infinity
Can you describe this route to infinity? Where will the arrows take you next?
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Cuboid Challenge
What's the largest volume of box you can make from a square of paper?
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Power mad!
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
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Seven Squares
Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?
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Same Answer
Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?
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Fibonacci Surprises
Play around with the Fibonacci sequence and discover some surprising results!
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Consecutive negative numbers
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?