National Curriculum Resource Tool

Materials to support teachers and schools in embedding the National Curriculum

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  • Year 6: Number and Place Value

    • read, write, order and compare numbers up to 10 000 000 and determine the value of each digit
    • round any whole number to a required degree of accuracy
    • use negative numbers in context, and calculate intervals across zero
    • solve number problems and practical problems that involve all of the above.

  • Year 6: Addition and Subtraction

    • multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
    • divide 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 context
    • divide 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 context
    • perform mental calculations, including with mixed operations and large numbers
    • identify common factors, common multiples and prime numbers
    • use their knowledge of the order of operations to carry out calculations involving the four operations
    • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
    • solve problems involving addition, subtraction, multiplication and division
    • use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

  • Year 6: Multiplication and Division

    • multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
    • divide 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 context
    • divide 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 context
    • perform mental calculations, including with mixed operations and large numbers
    • identify common factors, common multiples and prime numbers
    • use their knowledge of the order of operations to carry out calculations involving the four operations
    • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
    • solve problems involving addition, subtraction, multiplication and division
    • use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

  • Year 6: Fractions (including decimals and percentages)

    • use common factors to simplify fractions; use common multiples to express fractions in the same denomination
    • compare and order fractions, including fractions >1
    • 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 [for example, ¼ × ½ = 1⁄8]
    • divide proper fractions by whole numbers [for example, 1⁄3 ÷ 2 = 1⁄6]
    • associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3⁄8]
    • 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 places
    • multiply one-digit numbers with up to two decimal places by whole numbers
    • use written division methods in cases where the answer has up to two decimal places.
    • solve problems which require answers to be rounded to specified degrees of accuracy
    • recall and use equivalences between simple fractions, decimals and percentages including in different contexts.

  • Year 6: Ratio and Proportion

    • solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
    • solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and use percentages for comparison
    • solve problems involving similar shapes where the scale factor is known or can be found
    • solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

  • Year 6: Measurement

    • solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate
    • use, 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 places
    • convert between miles and kilometres
    • recognise that shapes with the same areas can have different perimeters and vice versa
    • recognise when it is possible to use the formulae for area and volume of shapes
    • calculate the area of parallelograms and triangles
    • calculate, 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]

  • Year 6: Geometry - properties of shapes

    • draw 2-D shapes using given dimensions and angles
    • recognise, describe and build simple 3-D shapes including making nets
    • compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
    • illustrate and name parts of circle, including radius, diameter and circumference and know that the diameter is twice the radius
    • recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

  • Year 6: 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.

  • Year 6: Statistics

    • interpret and construct pie charts and line graphs and use these to solve problems
    • calculate and interpret the mean as an average

  • Year 6: Algebra

    • use simple formulae
    • generate and describe linear number sequences
    • express missing number problems algebraically
    • find pairs of numbers that satisfy number sentences involving two unknowns
    • enumerate possibilities of combinations of two variables