Mathematics

Writing numbers to 1,000,000 in digits

Writing numbers to 1,000,000 in words

Identifying the value of each digit in 6-digit numbers

Partitioning numbers in different ways

Comparing numbers using greater than and less than

Ordering sets of numbers to 1,000,000

Finding one more and one less across place value boundaries

Counting forwards in powers of 10

Counting backwards in powers of 10

Multiplying by 10, 100 and 1,000 through place value patterns

Dividing by 10, 100 and 1,000 through place value patterns

Understanding negative numbers in real-life contexts

Counting backwards through zero

Counting forwards from negative to positive numbers

Rounding to the nearest 10

Rounding to the nearest 100

Rounding to the nearest 1,000

Rounding to the nearest 10,000

Rounding to the nearest 100,000

Solving place value word problems

Reading Roman numerals to 1,000

Matching Roman numerals to numbers

Reading years written in Roman numerals

Subtracting numbers with more than 4 digits mentally

Choosing efficient mental strategies for addition

Choosing efficient mental strategies for subtraction

Using column addition with whole numbers

Exchanging in column addition

Using column subtraction with whole numbers

Exchanging in column subtraction

Spotting errors in written calculations

Estimating answers before calculating

Using rounding to check addition answers

Using rounding to check subtraction answers

Deciding when an answer is sensible

Solving one-step addition problems

Solving one-step subtraction problems

Solving multi-step addition and subtraction problems

Choosing the correct operation in word problems

Explaining why a chosen method works

Identifying factors of a number

Finding all factor pairs of a number

Finding common factors of two numbers

Understanding prime numbers

Understanding composite numbers

Identifying prime numbers up to 100

Recalling prime numbers to 19

Understanding prime factors

Multiplying using known facts and place value

Doubling and halving as multiplication and division strategies

Multiplying 2-digit numbers by 1-digit numbers mentally

Multiplying larger numbers by 10, 100 and 1,000

Dividing larger numbers by 10, 100 and 1,000

Multiplying decimals by 10, 100 and 1,000

Dividing decimals by 10, 100 and 1,000

Short multiplication with up to 4-digit numbers

Long multiplication with a 2-digit multiplier

Understanding each step in long multiplication

Short division with up to 4-digit numbers

Interpreting remainders as a leftover

Interpreting remainders in context

Using inverse operations to check multiplication and division

Recognising square numbers

Writing numbers squared

Recognising cube numbers

Writing numbers cubed

Solving factor and multiple problems

Solving problems involving squares and cubes

Solving multiplication word problems

Solving division word problems

Solving multi-step problems using all four operations

Understanding the equals sign in equations

Solving scaling problems

Solving simple rate problems

Comparing fractions with denominators that are multiples

Ordering fractions with denominators that are multiples

Identifying equivalent fractions visually

Identifying equivalent fractions numerically

Finding equivalent tenths

Finding equivalent hundredths

Understanding improper fractions

Understanding mixed numbers

Converting improper fractions to mixed numbers

Converting mixed numbers to improper fractions

Writing fractions greater than 1 as mixed numbers

Adding fractions with the same denominator

Subtracting fractions with the same denominator

Adding fractions where one denominator is a multiple of the other

Subtracting fractions where one denominator is a multiple of the other

Multiplying a unit fraction by a whole number

Multiplying a non-unit proper fraction by a whole number

Multiplying a mixed number by a whole number with support

Using bar models and diagrams for fraction multiplication

Reading decimal numbers as fractions

Writing tenths as decimals and fractions

Writing hundredths as decimals and fractions

Understanding thousandths

Relating thousandths to tenths

Relating thousandths to hundredths

Writing decimal equivalents using thousandths

Rounding decimals to the nearest whole number

Rounding decimals to one decimal place

Reading decimals with up to three decimal places

Writing decimals with up to three decimal places

Comparing decimals with up to three decimal places

Ordering decimals with up to three decimal places

Solving problems with decimals to three places

Understanding percent as parts per hundred

Recognising the percent symbol

Writing percentages as fractions out of 100

Writing percentages as decimals

Finding decimal equivalents of 1/2

Finding decimal equivalents of 1/4

Finding decimal equivalents of 1/5

Finding decimal equivalents of 2/5

Finding decimal equivalents of 4/5

Finding percentage equivalents of common fractions

Solving fraction, decimal and percentage equivalence problems

Converting centimetres and metres

Converting millimetres and centimetres

Converting grams and kilograms

Converting litres and millilitres

Choosing the best metric unit for a measure

Understanding approximate imperial equivalents

Relating inches to centimetres

Relating pounds to kilograms

Relating pints to litres

Measuring the perimeter of rectangles

Finding missing lengths to calculate perimeter

Calculating the perimeter of composite rectilinear shapes

Understanding area as covering a surface

Counting square units to find area

Calculating the area of rectangles

Calculating the area of squares

Comparing areas

Estimating the area of irregular shapes

Understanding cubic units through building models

Estimating volume using cubes

Understanding capacity using containers and liquids

Converting between units of time

Reading and interpreting timetables involving time

Solving elapsed time problems

Solving measure problems with addition

Solving measure problems with subtraction

Solving measure problems with multiplication

Solving measure problems with division

Solving money problems using decimals

Solving scaling problems involving measure

Identifying cubes from nets and diagrams

Identifying cuboids from nets and diagrams

Describing faces, edges and vertices

Understanding degrees as a measure of turn

Estimating acute angles

Estimating obtuse angles

Estimating reflex angles

Comparing angles by size

Measuring angles with a protractor

Drawing given angles with a protractor

Understanding angles around a point

Finding missing angles around a point

Understanding angles on a straight line

Finding missing angles on a straight line

Recognising right angles as 90 degrees

Finding angles that are multiples of 90 degrees

Using rectangle properties to find missing lengths

Using rectangle properties to find missing angles

Identifying regular polygons

Identifying irregular polygons

Explaining why a polygon is regular or irregular

Recognising reflection as a flip

Recognising translation as a slide

Describing a reflected shape

Describing a translated shape

Plotting the new position after reflection

Plotting the new position after translation

Using precise mathematical language for movement

Understanding that reflected and translated shapes keep the same size and shape

Interpreting the scale on a line graph

Comparing data shown on a line graph

Finding sums from line graph data

Finding differences from line graph data

Solving word problems using line graphs

Reading information from tables

Completing missing information in tables

Interpreting two-way tables

Reading timetables accurately

Solving timetable problems

Comparing information from tables and timetables