Blue emphasised text signifies Year 9 extension objectives.
The 'example' links below objectives connect to a supplement of examples that illustrate what pupils should know and be able to do within a particular strand by the end of the year.
| Year 7 | Year 8 | |
|---|---|---|
2 Number | ||
2.3 Fractions, decimals, percentages, ratio and proportion | ||
express a smaller whole number as a fraction of a larger one; simplify fractions by cancelling all common factors and identify equivalent fractions; convert terminating decimals to fractions, e.g. 0.23 =  ; use diagrams to compare two or more simple fractions
examples (369.14 KB) | recognise that a recurring decimal is a fraction; use division to convert a fraction to a decimal; order fractions by writing them with a common denominator or by converting them to decimals
examples (44.33 KB) | |
| add and subtract simple fractions and those with common denominators; calculate simple fractions of quantities and measurements (whole-number answers); multiply a fraction by an integer
examples (53.14 KB) | add and subtract fractions by writing them with a common denominator; calculate fractions of quantities (fraction answers); multiply and divide an integer by a fraction
examples (106.99 KB) | |
| understand percentage as the 'number of parts per 100'; calculate simple percentages and use percentages to compare simple proportions
examples (213.45 KB) | interpret percentage as the operator 'so many hundredths of' and express one given number as a percentage of another; calculate percentages and find the outcome of a given percentage increase or decrease
examples (193.78 KB) | |
| recognise the equivalence of percentages, fractions and decimals
examples (92.10 KB) | use the equivalence of fractions, decimals and percentages to compare proportions
examples (117.77 KB) | |
| understand the relationship between ratio and proportion; use direct proportion in simple contexts; use ratio notation, simplify ratios and divide a quantity into two parts in a given ratio; solve simple problems involving ratio and proportion using informal strategies
examples (109.43 KB) | apply understanding of the relationship between ratio and proportion; simplify ratios, including those expressed in different units, recognising links with fraction notation; divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple problems involving ratio and direct proportion
examples (146.14 KB) | |
