Menu
Home Page

Year 6

Year 6 Programme of Study

 

Number – Number and place value 

Pupils should be taught to:

·         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. 

 

Number – Addition, subtraction, multiplication and division 

Pupils 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 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. 

 

Number –Fractions (including decimals and percentages) 

Pupils should be taught to:

·         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  = ⅛)

·         divide proper fractions by whole numbers (for example, ⅓ ÷ 2 = ⅙)

·         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. 

 

Ratio and proportion 

Pupils 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 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. 

 

Algebra 

Pupils should be taught to:

·         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 all possibilities of combinations of two variables. 

 

Measurement 

Pupils should be taught to:

·         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). 

 

Geometry – Properties of shapes 

Pupils should be taught to:

·         draw 2D shapes using given dimensions and angles

·         recognise, describe and build simple 3D 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. 

 

Geometry – Position and direction 

Pupils 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. 

 

Statistics 

Pupils should be taught to:

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

·         calculate and interpret the mean as an average.

Top