Year Six Curriculum Maths in Year Six - National CurriculumNumber – number and place valueStatutory requirementsPupils should be taught to:read, write, order and compare numbers up to 10 000 000 and determine the value of each digitround any whole number to a required degree of accuracyuse negative numbers in context, and calculate intervals across zerosolve number and practical problems that involve all of the above.Number – addition, subtraction, multiplication and divisionStatutory requirementsPupils should be taught to:multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplicationdivide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the contextdivide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the contextperform mental calculations, including with mixed operations and large numbersidentify common factors, common multiples and prime numbersuse their knowledge of the order of operations to carry out calculations involving the four operationssolve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and whysolve problems involving addition, subtraction, multiplication and divisionuse estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.Number – fractions (including decimals and percentages)Statutory requirementsPupils should be taught to:use common factors to simplify fractions; use common multiples to express fractions in the same denominationcompare and order fractions, including fractions > 1add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractionsmultiply simple pairs of proper fractions, writing the answer in its simplest form [for example, × = ]divide proper fractions by whole numbers [for example, ÷ 2 = ]associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, ]identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal placesmultiply one-digit numbers with up to two decimal places by whole numbersuse written division methods in cases where the answer has up to two decimal placessolve problems which require answers to be rounded to specified degrees of accuracyrecall and use equivalences between simple fractions, decimals and percentages, including in different contexts.Ratio and proportionStatutory requirementsPupils should be taught to:solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division factssolve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparisonsolve problems involving similar shapes where the scale factor is known or can be foundsolve problems involving unequal sharing and grouping using knowledge of fractions and multiples.AlgebraStatutory requirementsPupils should be taught to:use simple formulaegenerate and describe linear number sequencesexpress missing number problems algebraicallyfind pairs of numbers that satisfy an equation with two unknownsenumerate possibilities of combinations of two variables.MeasurementStatutory requirementsPupils should be taught to:solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriateuse, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal placesconvert between miles and kilometresrecognise that shapes with the same areas can have different perimeters and vice versarecognise when it is possible to use formulae for area and volume of shapescalculate the area of parallelograms and trianglescalculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units [for example, mm3 and km3].Geometry – properties of shapesStatutory requirementsPupils should be taught to:draw 2-D shapes using given dimensions and anglesrecognise, describe and build simple 3-D shapes, including making netscompare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygonsillustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radiusrecognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.Geometry – position and directionStatutory requirementsPupils should be taught to: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.StatisticsStatutory requirementsPupils should be taught to:interpret and construct pie charts and line graphs and use these to solve problemscalculate and interpret the mean as an average.