Place value

problem

Binary Squares

Age

16 to 18

Challenge level

2 out of 3

If a number N is expressed in binary by using only 'ones,' what can you say about its square (in binary)?
problem

Basic Rhythms

Age

16 to 18

Challenge level

2 out of 3

Explore a number pattern which has the same symmetries in different bases.
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Learn About Number Bases

We are used to writing numbers in base ten, using 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Eg. 75 means 7 tens and five units. This article explains how numbers can be written in any number base.
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Number Sense Series: A Sense of 'ten' and Place Value

Once a basic number sense has developed for numbers up to ten, a strong 'sense of ten' needs to be developed as a foundation for both place value and mental calculations.
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Adding With the Abacus

Nowadays the calculator is very familiar to many of us. What did people do to save time working out more difficult problems before the calculator existed?
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Ten-Frames Games

These games use ten-frames to develop children's 'sense of ten'.
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Place Value: The Ten-Ness of Ten

This article develops the idea of 'ten-ness' as an important element of place value.
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Place Value as a Building Block for Developing Fluency in the Calculation Process

This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.
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How Can I Support the Development of Early Number Sense and Place Value?

This article for primary teachers expands on the key ideas which underpin early number sense and place value, and suggests activities to support learners as they get to grips with these ideas.
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Path of Discovery Series 3: I Do and I Understand

Marion Bond recommends that children should be allowed to use 'apparatus', so that they can physically handle the numbers involved in their calculations, for longer, or across a wider ability band, than is currently the norm.