Change an improper fraction to a mixed number; recognise when two simple fractions are equivalent, including relating hundredths to tenths.

Use decimal notation for tenths and hundredths.

Find a difference by counting up through the next multiple of 10, 100 or 1000.

Add and subtract mentally pairs of two-digit numbers.

Core:

Use fraction notation to describe parts of shapes and 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 e.g. 0.23 = 23/100; use a diagram to compare two or more simple fractions.

Begin to 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.

Understand percentage as the ‘number of parts per 100’; recognise the equivalence of percentages, fractions and decimals; calculate simple percentages.

Consolidate and extend mental methods of calculation to include decimals, fractions and percentages, accompanied where appropriate by suitable jottings; solve simple word problems mentally.

Check a result by considering whether it is of the right order of magnitude and by working the problem backwards.

Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations, methods and resources, including ICT.

Present and interpret solutions in the context of the original problem; explain and justify methods and conclusions, orally and in writing.

Extension:

Know that a recurring decimal is a fraction; use division to convert a fraction to a decimal; order fractions by converting them to decimals.

Calculate fractions of quantities and measurements (fraction answers); multiply and divide an integer by a fraction.

Find the outcome of a given percentage increase or decrease.

## Objectives:

Support:Use decimal notation for tenths and hundredths.Core:simplify fractions by cancelling all common factors and identify equivalent fractions;convert terminating decimals to fractions e.g. 0.23 = 23/100; use a diagram to compare two or more simple fractions.extend mental methods of calculation to include decimals, fractions and percentages,accompanied where appropriate by suitable jottings; solve simple word problems mentally.Check a result by considering whether it is of the right order of magnitudeand by working the problem backwards.Break a complex calculation into simpler steps, choosing and using appropriate and efficient operations, methodsand resources, including ICT.explain and justify methods and conclusions,orally and in writing.Extension:Find the outcome of a given percentage increase or decrease.## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT

CORE## Framework:

## Teaching & Learning Resources:

Fractions Resources

Decimals Resources

Mental Methods Resources

Equivalent Fractions Resources

Fraction Arithmetic Resources

Percentages Resources

FDP Resources

Recurring Decimal Resources

Fraction of Amount Resources

Percentage Change Resources