Key learning in Maths
Number  number and place value

Count forwards or backwards in steps of integers, decimals, powers of 10

Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit

Identify the value of each digit to three decimal places

Identify, represent and estimate numbers using the number line

Order and compare numbers including integers, decimals and negative numbers

Find 0.001, 0.01, 0.1, 1, 10 and powers of 10 more/less than a given number

Round any whole number to a required degree of accuracy

Round decimals with three decimal places to the nearest whole number or one or two decimal places

Multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

Use negative numbers in context, and calculate intervals across zero

Describe and extend number sequences including those with multiplication and division steps, inconsistent steps, alternating steps and those where the step size is a decimal
Solve number and practical problems that involve all of the above
Number  fractions, decimals and percentages

Compare and order fractions, including fractions > 1 (including on a number line)

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination

Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

Associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375 and )

Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. x = )

Divide proper fractions by whole numbers (e.g. ÷ 2 = )

Find simple percentages of amounts

Solve problems involving fractions

Solve problems which require answers to be rounded to specified degrees of accuracy
Solve problems involving the calculation of percentages (e.g. of measures and such as 15% of 260) and the use of percentages for comparison
Ratio and proportion

Solve problems involving the relative sizes of two quantities where missing values can be found using integer multiplication/division facts

Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Solve problems involving similar shapes where the scale factor is known or can be found
Number addition and subtraction

Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)

Select a mental strategy appropriate for the numbers in the calculation

Recall and use addition and subtraction facts for 1 (with decimals to two decimal places)

Perform mental calculations including with mixed operations and large numbers and decimals

Add and subtract whole numbers and decimals using formal written methods (columnar addition and subtraction)

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

Use knowledge of the order of operations to carry out calculations

Solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why
Solve problems involving all four operations, including those with missing numbers
Number  multiplication and division

Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)

Identify common factors, common multiples and prime numbers

Use partitioning to double or halve any number

Perform mental calculations, including with mixed operations and large numbers

Multiply multidigit numbers up to 4 digits by a twodigit whole number using the formal written method of long multiplication

Multiply onedigit numbers with up to two decimal places by whole numbers

Divide numbers up to 4 digits by a twodigit whole number using the formal written methods of short or long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

Use written division methods in cases where the answer has up to two decimal places

Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

Use knowledge of the order of operations to carry out calculations
Solve problems involving all four operations, including those with missing numbers
Geometry  properties of shapes

Compare/classify geometric shapes based on the properties and sizes

Draw 2D shapes using given dimensions and angles

Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

Recognise, describe and build simple 3D shapes, including making nets

Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles
Find unknown angles in any triangles, quadrilaterals, regular polygons
Geometry  position and direction

Describe positions on the full coordinate grid (all four quadrants)
Draw and translate simple shapes on the coordinate plane, and reflect them in the axes
Statistics

Continue to complete and interpret information in a variety of sorting diagrams (including sorting properties of numbers and shapes)
 < > and construct pie charts and line graphs and use these to solve problems
Solve comparison, sum and difference problems using information presented in all types of graph
Calculate and interpret the mean as an average
Algebra

Use simple formulae

Generate and describe linear number sequences

Express missing number problems algebraically

Find pairs of numbers that satisfy an equation with two unknowns
Enumerate possibilities of combinations of two variables
Measurement

Use, read and write standard units of length, mass, volume and time using decimal notation to three decimal places

Convert between standard units of length, mass, volume and time using decimal notation to three decimal places

Convert between miles and kilometres

Recognise that shapes with the same areas can have different perimeters and vice versa

Calculate the area of parallelograms and triangles

Recognise when it is possible to use formulae for area and volume of shapes

Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm^{3}) and cubic metres (m^{3}), and extending to other units (e.g. mm^{3} and km^{3})

Calculate differences in temperature, including those that involved a positive and negative temperature
Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate