English National Curriculum, Programme Of Study For Key Stage 3 Mathematics

Subject Content:

Pupils should be taught to express one quantity as a fraction of another, where the fraction is less than 1 and greater than 1

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Express as a Fraction Express one quantity as a fraction of another, where the fraction could be less than 1 or a mixed number.

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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.

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English National Curriculum, Programme Of Study For Key Stage 3 Mathematics

Ratio, proportion and rate of change