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Year 6 Maths Overview

Key Learning in Mathematics – Year 6

 

Number – number and place value Number – addition and subtraction Number – multiplication and division
·   Count forwards or backwards in steps of integers, decimals, powers of 10

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

·   Identify the value of each digit to three decimal places

·   Identify, represent and estimate numbers using the number line

·   Order and compare numbers including integers, decimals and negative numbers

·   Find 0.001, 0.01, 0.1, 1, 10 and powers of 10 more/less than a given number

·   Round any whole number to a required degree of accuracy

·   Round decimals with three decimal places to the nearest whole number or one or two decimal places

·   Multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

·   Use negative numbers in context, and calculate intervals across zero

·   Describe and extend number sequences including those with multiplication and division steps, inconsistent steps, alternating steps and those where the step size is a decimal

·   Solve number and practical problems that involve all of the above

·   Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)

·   Select a mental strategy appropriate for the numbers in the calculation

·   Recall and use addition and subtraction facts for 1 (with decimals to two decimal places)

·   Perform mental calculations including with mixed operations and large numbers and decimals

·   Add and subtract whole numbers and decimals using formal written methods (columnar addition and subtraction)

·   Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

·   Use knowledge of the order of operations to carry out calculations

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

·   Solve problems involving all four operations, including those with missing numbers

·   Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)

·   Identify common factors, common multiples and prime numbers

·   Use partitioning to double or halve any number

·   Perform mental calculations, including with mixed operations and large numbers

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

·   Multiply one-digit numbers with up to two decimal places by whole numbers

·   Divide numbers up to 4 digits by a two-digit whole number using the formal written methods of short or long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

·   Use written division methods in cases where the answer has up to two decimal places

·   Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

·   Use knowledge of the order of operations to carry out calculations

·   Solve problems involving all four operations, including those with missing numbers

Number – fractions, decimals and percentages Geometry – properties of shapes
·   Compare and order fractions, including fractions > 1 (including on a number line)

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

·   Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

·   Associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375 and )

·   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 (e.g. x = )

·   Divide proper fractions by whole numbers (e.g. ÷ 2 = )

·   Find simple percentages of amounts

·   Solve problems involving fractions

·   Solve problems which require answers to be rounded to specified degrees of accuracy

·   Solve problems involving the calculation of percentages (e.g. of measures and such as 15% of 260) and the use of percentages for comparison

·   Compare/classify geometric shapes based on the properties and sizes

·   Draw 2-D shapes using given dimensions and angles

·   Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

·   Recognise, describe and build simple 3-D shapes, including making nets

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

·   Find unknown angles in any triangles, quadrilaterals, regular polygons

Measurement
Geometry – position and direction ·   Use, read and write standard units of length, mass, volume and time using decimal notation to three decimal places

·   Convert between standard units of length, mass, volume and time using decimal notation to three decimal places

·   Convert between miles and kilometres

·   Recognise that shapes with the same areas can have different perimeters and vice versa

·   Calculate the area of parallelograms and triangles

·   Recognise when it is possible to use formulae for area and volume of shapes

·   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 (e.g. mm3 and km3)

·   Calculate differences in temperature, including those that involved a positive and negative temperature

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

·   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
·   Continue to complete and interpret information in a variety of sorting diagrams (including sorting properties of numbers and shapes)

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

·   Solve comparison, sum and difference problems using information presented in all types of graph

·   Calculate and interpret the mean as an average

Ratio and proportion
·   Solve problems involving the relative sizes of two quantities where missing values can be found using integer multiplication/division facts

·   Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

·   Solve problems involving similar shapes where the scale factor is known or can be found

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