Year 6 New Curriculum
Year 6 Maths Objectives from New Curriculum (Statutory) |
Number & 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 and practical problems that involve all of the above. |
Addition, Subtraction, Multiplication, 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. |
Fractions (& Decimals, 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, 1/4 × 1/2 = 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. |
Ratio & 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 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 |
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. |
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 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 Shape |
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. |
Geometry – Position & 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. |
Statistics |
interpret and construct pie charts and line graphs and use these to solve problems |
calculate and interpret the mean as an average. |