Year 7 |
Year 8 |
Year 9 |
Year 10 |
Year 11 |
Extension |
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=23/100; use diagrams to compare two or more simple fractions.
Fraction Finder
Equivalent fractions
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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. |
Understand the equivalence of simple algebraic fractions; know that a recurring decimal is an exact fraction. |
Distinguish between fractions with denominators that have only prime factors 2 or 5 (terminating decimals), and other fractions (recurring decimals). |
Use an algebraic method to convert a recurring decimal to a fraction. |
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| 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.
Adding and Subtracting fractions using ITP |
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.
Bingo subtraction and addition |
Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.
Multiplication of fractions |
Understand and apply efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse. |
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| Understand percentage as the ‘number of parts per 100’; calculate simple percentages and use percentages to compare simple proportions. |
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. |
Recognise when fractions or percentages are needed to compare proportions; solve problems involving percentage changes. |
Calculate an original amount when given the transformed amount after a percentage change; use calculators for reverse percentage calculations by doing an appropriate division. |
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| Recognise the equivalence of percentages, fractions and decimals.
'Comparing All Three' game |
Use the equivalence of fractions, decimals and percentages to compare proportions. |
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| 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. |
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. |
Use proportional reasoning to solve problems, choosing the correct numbers to take as 100%, or as a whole; compare two ratios; interpret and use ratio in a range of contexts. |
Understand and use proportionality and calculate the result of any proportional change using multiplicative methods. |
Calculate an unknown quantity from quantities that vary in direct proportion using algebraic methods where appropriate. |
Understand and use direct and inverse proportion; solve problems involving inverse proportion (including inverse squares) using algebraic methods. |
