Use fraction notation to 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.

Add and subtract fractions with common denominators; calculate fractions of quantities (whole-number answers); multiply a fraction by an integer.

Understand percentage as the ‘number of parts per 100’; calculate simple percentages.

Consolidate the rapid recall of number facts, including positive integer complements to 100 and multiplication facts to 10 ´ 10, and quickly derive associated division facts.

Core:

Know 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.

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.

Interpret percentage as the operator ‘so many hundredths of’ and express one given number as a percentage of another; use the equivalence of fractions, decimals and percentages to compare proportions; calculate percentages and find the outcome of a given percentage increase or decrease.

Understand addition and subtraction of fractions; use the laws of arithmetic and inverse operations.

Recall known facts, including fraction to decimal conversions; use known facts to derive unknown facts, including products such as 0.7 and 6, and 0.03 and 8.

Consolidate and extend mental methods of calculation, working with decimals, fractions and percentages; solve word problems mentally.

Extension:

Use efficient methods to add, subtract, multiply and divide fractions, interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.

Solve problems involving percentage changes.

Use known facts to derive unknown facts.

Extend mental methods of calculation, working with factors, powers and roots.

## Objectives:

Support:simplify fractions by cancelling all common factors and identify equivalent fractions;convert terminating decimals to fractions.Core:use the equivalence of fractions, decimals and percentages to compare proportions; calculate percentages and find the outcome of a given percentage increase or decrease.Extension:add, subtract, multiply and divide fractions,interpreting division as a multiplicative inverse; cancel common factors before multiplying or dividing.## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT

CORE## Framework:

## Teaching & Learning Resources:

Fractions Resources

Percentage Resources

Recurring Decimals Resources

FDP Resources

Fraction Arithmetic Resources