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Programme Of Study For Key Stage 3 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Decimals Line A number line showing tenths and hundredths with draggable arrows. This is a visual aid designed to be projected onto a whiteboard for whole class exposition
- Equivalent Fraction Pairs The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions.
- Equivalent Fractions Practise finding equivalent fractions numerically and in fraction diagrams.
- Great Expectation An interactive online activity requiring logical thinking and a certain amount of luck to place the digits on the correct side of the inequality sign.
- Inequalities Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.
- Number Line This number line visual aid is designed to be projected onto a whiteboard for whole class exposition.
- Number Line Banner A printable banner (multiple A4 sheets) of a colourful number line for the classroom wall.
- Number Skills Inventory A checklist of basic numeracy techniques that every pupil should know.

Click on a topic below for suggested lesson starters, resources and activities from Transum.

- Decimals Working with decimals, for most pupils, presents little difficulty if the pupils have confidence working with whole numbers. The topic of decimals provides an extension to the place value system with the addition of tenths, hundredths, thousandths etc. For many pen and paper multiplication and division calculations the decimal numbers can be considered as whole numbers then the answers adjusted accordingly. So 2.4 x 2.34 can be considered as 24 x 234 รท 1000. The numbers are multiplied by ten and one hundred respectively then the answer needs to be divided by the ten and one hundred to compensate. Pupils should use their understanding of place value to round decimal numbers. They should also use decimal numbers in the context of measures and money. This topic also contains activities which encourage pupils to investigate and explore the properties of decimal numbers and gain a better understanding of them.
- Fractions A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa. Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.
- Negative Numbers A negative number is a real number that is less than zero. Such numbers are often used to represent the amount of a loss or absence. For example, a debt that is owed may be thought of as a negative asset, or a decrease in some quantity may be thought of as a negative increase. Negative numbers are also used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature. Here are some activities designed to strengthen a pupil's understanding of negative numbers.