Thomas Jones
   
An Ofsted Outstanding and DfE Designated Teaching School
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Year 6

·       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 and practical problems that involve all of the above.

·       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.

·       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 x ½ = ⅛].

·       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, ⅜].

·       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.

·       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 the use of 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.

·       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.

·       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 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].

·       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 circles, 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.

·       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.

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

·       Calculate and interpret the mean as an average.

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