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# National Curriculum: Number - KS3 - Activities

Created on 14 October 2013 by ncetm_administrator
Updated on 04 June 2014 by ncetm_administrator

# Activities

## Happy Numbers

In this problem pupils start with an integer (less than 1000), add the squares of its digits, and then go on repeating this until a pattern emerges.

## I’m Eight

Pupils generate examples that use all the different mathematical ideas they know about.

## Chocolate

Pupils work out fractions to maximise the amount of chocolate they would receive.

## Consecutive Negative Numbers

This activity requires pupils to look at addition and subtraction of four negative numbers and seek generalisations.

## Ordering Fractions and Decimals

(Improving Learning in Mathematics, N1) from the STEM e-library (free registration).

Pupils learn to interpret decimals and fractions using scales and areas, find equivalent fractions, order and relate fractions and decimals and to reflect on and discuss these processes.

## Evaluating Statements about Number Operations

(Improving Learning in Mathematics, N2) from the STEM e-library (free registration).

Pupils learn to understand the properties of number operations, substitute integers, fractions, decimals and negative numbers into statements and equations in order to test their validity and address common misconceptions about the effect of addition, subtraction, multiplication, division, squaring and finding square roots.

## Estimating Length Using Standard Form

(Improving Learning in Mathematics, N4) from the STEM e-library (free registration).

Pupils learn to interpret decimals using metric units, estimate lengths of real life objects and interpret standard form.

## Understanding the Laws of Arithmetic

(Improving Learning in Mathematics, N5) from the STEM e-library (free registration).

Pupils learn to interpret numerical expressions using words and area representations, recognise the order of operations and equivalent expressions and understand the distributive laws of multiplication and division over addition (the expansion of brackets).

## Using Percentages to Increase Quantities

(Improving Learning in Mathematics, N7) from the STEM e-library (free registration).

Pupils make links between percentages, decimals and fractions, represent percentage increase and decrease as multiplication and recognise the inverse relationship between increases and decreases using proportional reasoning.