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There are 22 results

Broad Topics > Numbers and the Number System > Representing numbers

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Eightness of Eight

Age 5 to 7 Challenge Level:

What do you see as you watch this video? Can you create a similar video for the number 12?

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Roman Numerals

Age 7 to 11 Challenge Level:

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?

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Dotty Six

Age 5 to 11 Challenge Level:

Dotty Six is a simple dice game that you can adapt in many ways.

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Even and Odd

Age 5 to 7 Challenge Level:

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

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Napier's Location Arithmetic

Age 14 to 16 Challenge Level:

Have you seen this way of doing multiplication ?

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Dotty Six for Two

Age 5 to 11 Challenge Level:

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

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Models in Mind

Age 3 to 14

This article looks at how models support mathematical thinking about numbers and the number system

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Matching Numbers

Age 5 to 7 Challenge Level:

Can you find different ways of showing the same number? Try this matching game and see!

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Galley Division

Age 14 to 16 Challenge Level:

Can you explain how Galley Division works?

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Balance Power

Age 11 to 18 Challenge Level:

Using balancing scales what is the least number of weights needed to weigh all integer masses from 1 to 1000? Placing some of the weights in the same pan as the object how many are needed?

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Twizzles Venture Forth

Age 14 to 16 Challenge Level:

Where we follow twizzles to places that no number has been before.

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Twizzle Twists

Age 14 to 16 Challenge Level:

Make the twizzle twist on its spot and so work out the hidden link.

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A Story about Absolutely Nothing

Age 7 to 18

This article for the young and old talks about the origins of our number system and the important role zero has to play in it.

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Twizzle Wind Up

Age 14 to 16 Challenge Level:

A loopy exploration of z^2+1=0 (z squared plus one) with an eye on winding numbers. Try not to get dizzy!

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Twizzle Arithmetic

Age 14 to 16 Challenge Level:

Arrow arithmetic, but with a twist.

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Arrow Arithmetic 3

Age 14 to 16 Challenge Level:

How can you use twizzles to multiply and divide?

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Arrow Arithmetic 2

Age 14 to 16 Challenge Level:

Introduces the idea of a twizzle to represent number and asks how one can use this representation to add and subtract geometrically.

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Arrow Arithmetic 1

Age 14 to 16 Challenge Level:

The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.

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Multiplication Series: Illustrating Number Properties with Arrays

Age 5 to 11

This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials,. . . .

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Fibonacci's Three Wishes 1

Age 7 to 14

First or two articles about Fibonacci, written for students.

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Multiplication Series: Number Arrays

Age 5 to 11

This article for teachers describes how number arrays can be a useful reprentation for many number concepts.

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A Romantic Riddle

Age 7 to 11 Challenge Level:

Read this riddle and see if you can work out how the trees must be planted.