Key Learning in Mathematics – Year 6
Number – number and place value  Number – addition and subtraction  Number – multiplication and division  
· 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 
· 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 
· 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 

Number – fractions, decimals and percentages  Geometry – properties of shapes  
· 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 
· 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 

Measurement  
Geometry – position and direction  · 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 

· 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)
· Interpret 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 

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 
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 