Overcoming barriers in mathematics –

Find the difference between a positive and a negative integer, or two negative integers, in context

Use decimal notation for tenths, hundredths and thousandths; partition, round and order decimals with up to three places, and position them on the number line

Compare and order integers and decimals in different contexts

Express a larger whole number as a fraction of a smaller one (e.g. recognise that 8 slices of a 5-slice pizza represents ⁸⁄₅ or 1³⁄₅ pizzas); simplify fractions by cancelling common factors; order a set of fractions by converting them to fractions with a common denominator

Order a set of fractions by converting them to decimals

Express one quantity as a percentage of another (e.g. express £400 as a percentage of £1000); find equivalent percentages, decimals and fractions

Recognise approximate proportions of a whole and use fractions and percentages to describe and compare them, for example when interpreting pie charts

Solve simple problems involving direct proportion by scaling quantities up or down

Use ratio notation, reduce a ratio to its simplest form and divide a quantity into two parts in a given ratio; solve simple problems involving ratio and direct proportion (e.g. identify the quantities needed to make a fruit drink by mixing water and juice in a given ratio)

Represent and interpret sequences, patterns and relationships involving numbers and shapes; suggest and test hypotheses; construct and use simple expressions and formulae in words then symbols (e.g. the cost of c pens at 15 pence each is 15c pence)

Generate sequences and describe the general term; use letters and symbols to represent unknown numbers or variables; represent simple relationships as graphs