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These are the Transum resources related to the statement: "Pupils should be taught to relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions".

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

- Express as a Fraction Express one quantity as a fraction of another, where the fraction could be less than 1 or a mixed number.
- Ratios vs Fractions Relate the language of ratios and the associated calculations to the arithmetic of fractions.

Here are some exam-style questions on this statement:

- "
*At a concert, the number of men, women and children can be expressed with the following ratio:*" ... more - "
*Toystore sell model sheep in four different colours. In their newest warehouse there are currently 1760 sheep in stock. Three eighths of the sheep are yellow, 15% of the sheep are blue and the ratio of green to red sheep is 5:6.*" ... more - "
*Rishi breeds fish in tanks. Some of the tanks are small and some are large.*" ... more - "
*At a summer camp the campers can choose one of three programmes: camp craft, water sports or hiking.*" ... more

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

- 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.
- Ratio A ratio is a relationship between two numbers of the same kind. In layman's terms a ratio represents, simply, for every amount of one thing, how much there is of another thing. This topic presents a number if different ways pupils can represent ratios and apply their meaning to problem solving situations.

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