
Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without the use of digital technologies

Write fractions in their simplest form by dividing the numerator and the denominator by a common factor

Apply knowledge of equivalent fractions to convert between units of time

Add and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the other

Convert an answer that is an improper fraction to a mixed numeral

Use knowledge of equivalence to simplify answers when adding and subtraction fractions

Recognise that improper fractions may sometimes make calculations involving mixed numerals easier

Solve word problems involving the addition and subtraction of fractions where one denominator is the same as, or a multiple of, the other

Multiply simple fractions by whole numbers using repeated addition, leading to a rule

Solve word problems involving a fraction of a collection/ quantity

Recognise that the symbol % means percent

Use mental strategies to estimate discounts of 10%, 25% and 50%

Calculate the sale price on an item after a discount of 10%, 25% and 50%

Represent common percentages as fractions and decimals

Compare and order simple fractions with related denominators using strategies such as diagrams, the number line or equivalent fractions in ascending order

Find equivalent fractions by redividing the whole, using diagrams and number lines

Add and subtract decimals with the same number of decimal places, with or without the use of digital technologies

Develop mental strategies for generating equivalent fractions, such as multiplying or dividing the numerator and the denominator by the same number

Multiply decimals of up to three decimal places by whole numbers of up to two digits, with and without the use of digital technologies

Divide decimals by a onedigit whole number where the result is a terminating decimal

Solve word problems involving the multiplication and division of decimals, including those involving money

Recognise the number patterns formed when decimals are multiplied and divided by 10, 100 and 1000

Use a calculator to explore the effect of multiplying and dividing decimals by multiples of 10

Add and subtract decimals with a different number of decimal places with or without the use of digital technologies

Relate decimals to fractions to aid mental strategies

Round a number of up to three decimal places to the nearest whole number

Use estimation and rounding to check the reasonableness of answers when adding and subtraction decimals

Describe situations where the estimation of calculations with decimals may be useful

Solve word problems involving the addition and subtraction of decimals, with and without the use of digital technologies, including those involving money

Interpret a calculator display in the context of the problem

Compare the relative size of fractions drawn on the same diagram

Model, compare and represent fractions with denominators of 2, 4 and 8, 3 and 6, and 5, 10 and 100

Represent equivalent fractions with related denominators using diagrams and number lines