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English National Curriculum
Programme Of Study For Year 6 Mathematics

Draggable Cards - Order Your Skills

These are the statements, each one preceeded with the words "Pupils should be taught to:". Drag them so that the statements you think you have mastered well are at the top of the page and those you need help with are at the bottom. Change your browser's zoom level to 50% for a better overview of the dragged cards.

Number - number and place value (01)

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

Number - number and place value (02)

...round any whole number to a required degree of accuracy

Number - number and place value (03)

...use negative numbers in context, and calculate intervals across zero

Number - number and place value (04)

...solve number and practical problems that involve other recently learnt mathematical skills

Number – addition, subtraction, multiplication and division (01)

...multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

Number – addition, subtraction, multiplication and division (02)

...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

Number – addition, subtraction, multiplication and division (03)

...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

Number – addition, subtraction, multiplication and division (04)

...perform mental calculations, including with mixed operations and large numbers

Number – addition, subtraction, multiplication and division (05)

...identify common factors, common multiples and prime numbers

Number – addition, subtraction, multiplication and division (06)

...use their knowledge of the order of operations to carry out calculations involving the four operations

Number – addition, subtraction, multiplication and division (07)

...solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Number – addition, subtraction, multiplication and division (08)

...solve problems involving addition, subtraction, multiplication and division

Number – addition, subtraction, multiplication and division (09)

...use 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) (01)

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

Number – fractions (including decimals and percentages) (02)

...compare and order fractions, including fractions > 1

Number – fractions (including decimals and percentages) (03)

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

Number – fractions (including decimals and percentages) (04)

...multiply simple pairs of proper fractions, writing the answer in its simplest form

Number – fractions (including decimals and percentages) (05)

...divide proper fractions by whole numbers

Number – fractions (including decimals and percentages) (06)

...associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction

Number – fractions (including decimals and percentages) (07)

...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

Number – fractions (including decimals and percentages) (08)

...multiply one-digit numbers with up to two decimal places by whole numbers

Number – fractions (including decimals and percentages) (09)

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

Number – fractions (including decimals and percentages) (10)

...solve problems which require answers to be rounded to specified degrees of accuracy

Number – fractions (including decimals and percentages) (11)

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

Ratio and proportion (01)

...solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

Ratio and proportion (02)

...solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

Ratio and proportion (03)

...solve problems involving similar shapes where the scale factor is known or can be found

Ratio and proportion (04)

...solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

Algebra (01)

...use simple formulae

Algebra (02)

...generate and describe linear number sequences

Algebra (03)

...express missing number problems algebraically

Algebra (04)

...find pairs of numbers that satisfy an equation with two unknowns

Algebra (05)

...enumerate possibilities of combinations of two variables.

Measurement (01)

...solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate

Measurement (02)

...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

Measurement (03)

...convert between miles and kilometres

Measurement (04)

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

Measurement (05)

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

Measurement (06)

...calculate the area of parallelograms and triangles

Measurement (07)

...calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres and cubic metres, and extending to other units

Geometry – properties of shapes (01)

...draw 2-D shapes using given dimensions and angles

Geometry – properties of shapes (02)

...recognise, describe and build simple 3-D shapes, including making nets

Geometry – properties of shapes (03)

...compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

Geometry – properties of shapes (04)

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

Geometry – properties of shapes (05)

...recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Geometry – position and direction (01)

...describe positions on the full coordinate grid (all four quadrants)

Geometry – position and direction (02)

...draw and translate simple shapes on the coordinate plane, and reflect them in the axes

Statistics (01)

...interpret and construct pie charts and line graphs and use these to solve problems

Statistics (02)

...calculate and interpret the mean as an average


Drag the statements into an order of understanding. When you have finished you can email the ordered list to yourself or your teacher by clicking on this link: Email Results.


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