Year 6 Long Term Planning - Maths
Upper Key Stage 2 Programme of Study
The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their
understanding of the number system and place value to include larger integers. This should develop the connections that
pupils make between multiplication and division with fractions, decimals, percentages and ratio. At this stage, pupils
should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and
arithmetic, and problems demanding efficient written and mental methods of calculation. With this foundation in
arithmetic, pupils are introduced to the language of algebra as a means for solving a variety of problems. Teaching in
geometry and measures should consolidate and extend knowledge developed in number. Teaching should also ensure
that pupils classify shapes with increasingly complex geometric properties and that they learn the vocabulary they need to
describe them. By the end of year 6, pupils should be fluent in written methods for all 4 operations, including long
multiplication and division, and in working with fractions, decimals and percentages. Pupils should read, spell and
pronounce mathematical vocabulary correctly.
Term
Unit
Autumn 1 Number and
place value
Links and Teaching
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.
Compare and order fractions, including those greater than 1.
Year 6 Long Term Planning - Maths
Use place value and known facts to convert units of measure using decimal notation up to 3
decimal places where appropriate.
Use a number line to add and subtract positive and negative integers for measures such as
temperature.
Order decimals, fractions and percentages.
Identify the value of each digit in numbers given to 3 decimal places and multiply and divide
numbers by 10, 100 and 1000 giving answers up to 3 decimal places.
Four
operations
Multiply multi-digit numbers up to 4 digits by a 2 digit whole number using long multiplication.
Divide numbers up to 4 digits by a 2 digit whole number using long division and interpret
remainders as whole number remainders, fractions or by rounding, as appropriate to the context.
Divide numbers up to 4 digits by a 2 digit number using short division where appropriate,
interpreting remainders according to context.
Perform mental calculations, including mixed operations and large numbers.
Identify common factors, common multiples and prime numbers.
Use knowledge of order of operations to carry out calculations involving the four operations.
Solve addition and subtraction multistep problems in contexts, deciding which operations and
methods to use and why.
Solve problems involving all 4 operations.
Use estimation to check answers to calculations and determine, in the context of a problem, an
Year 6 Long Term Planning - Maths
appropriate degree of accuracy.
Become secure in formal written methods.
Explore order of operations, using brackets.
Link to money and measures:
Solve problems involving the relative sizes of 2 quantities where missing values can be found by
using integer multiplication and division facts.
Multiply decimals by whole numbers in practical contexts, such as money and measures.
Autumn 2 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 all possibilities of combinations of two variables.
Become familiar with using symbols and letters to represent variables and unknowns in maths.
Use algebraic equations to describe missing numbers, lengths, coordinates and angles; equivalent
expressions, generalisations of number patterns and number puzzles.
Link to geometry and measures in the use of identifying unknown lengths.
Statistics
Connect conversion of units of measurement to a graphical representation as preparation for
understanding linear/proportional graphs.
Year 6 Long Term Planning - Maths
Interpret and construct pie charts and line graphs and use these to solve problems.
Calculate and interpret the mean as an average.
Connect work on angles, fractions and percentages to the interpretation of pie charts.
Know when it’s appropriate to find the mean of a data set.
Everyday Maths (Cross-
Convert miles to km
Curricular)
Write date in maths as roman numerals as well as short date.
Calculate percentage/fraction of class in attendance when taking the register.
Carry out long term study e.g. traffic survey/rainfall and plot on graph.
Spring 1
Fractions,
Use common factors to simplify fractions
Use common multiples to express fractions in the same denomination.
decimals
Add and subtract fractions with different denominators and mixed numbers, using the concept of
and
Multiply simple pairs of proper fractions, writing the answer in its simplest form – using models
percentages
equivalent fractions.
and images to support.
Use understanding of unit fractions and division to work backwards to find the whole.
Learn to round to 3 decimal places for divisions where decimals are recurring.
Divide proper fractions by whole numbers.
Associate a fraction with division and calculate decimal fraction equivalents for a simple fraction.
Year 6 Long Term Planning - Maths
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 2 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.
Practise, use and understand addition and subtraction of fractions with different denominators
using equivalent fractions with the same denominator.
Use the above linked to measures and money and to secure formal written methods and fluency
with number facts.
Spring 2
Geometry
Recognise 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 and metres and extending to other units (cubic km and mm)
Relate the area of rectangles to parallelograms and triangles by dissecting.
Draw 2D shapes using given dimensions and angles
Recognise, describe and build simple 3D shapes including nets.
Year 6 Long Term Planning - Maths
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.
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.
Draw shapes and nets accurately, using measuring tools and conventional markings and labels for
lines and angles.
Describe properties of shapes and explain how unknown angles and lengths can be derived from
known measurements.
Describe positions on the full coordinate grid (all 4 quadrants)
Draw and translate simple shapes on the coordinate plane and reflect them in the axes.
Draw and label a pair of axes in all 4 quadrants with equal scaling.
Draw and label rectangles, parallelograms and rhombuses, specified by the coordinates of the four
quadrants, predicting missing coordinates using properties of the shapes. Express these
Ratio and
algebraically.
Proportion
Solve problems involving the relative sizes of 2 quantities where missing values can be found by
using integer multiplication and division facts.
Solve problems involving the calculation of percentages and the use of percentages for
comparison.
Year 6 Long Term Planning - Maths
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.
Recognise proportionality in contexts when the relations between quantities are in the same ratio
(e.g. recipes, shapes)
Link percentages or 360 degrees to calculating angles of pie charts.
Consolidate understanding of ratio by solving a variety of problems, recording using the notation
a:b
Solve problems involving unequal quantities eg ‘for every egg you need 3 spoonfuls of flour’ or ‘3/5
of the class are boys’.
Everyday Maths (Cross-
Calculate percentage/fraction of class in attendance when taking the register.
Curricular)
Carry out long term study e.g. traffic survey/rainfall and plot on graph.
Summer 1 Revision
areas and
application
Write date in maths as roman numerals as well as short date.
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 2 digit whole number using long multiplication.
Divide numbers up to 4 digits by a 2 digit whole number using long division and interpret
remainders as whole number remainders, fractions or by rounding, as appropriate to the context.
Divide numbers up to 4 digits by a 2 digit number using short division where appropriate,
Year 6 Long Term Planning - Maths
interpreting remainders according to context.
Perform mental calculations, including mixed operations and large numbers.
Explore order of operations, using brackets.
Solve problems involving the relative sizes of 2 quantities where missing values can be found by
using integer multiplication and division facts.
Solve problems involving the calculation of percentages and the use of percentages for
comparison.
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
Add and subtract fractions with different denominators and mixed numbers, using the concept of
equivalent fractions.
Use understanding of unit fractions and division to work backwards to find the whole.
Calculate the area of parallelograms and triangles.
Draw 2D shapes using given dimensions and angles
Describe positions on the full coordinate grid (all 4 quadrants)
Draw and translate simple shapes on the coordinate plane and reflect them in the axes.
Year 6 Long Term Planning - Maths
Summer 2 Application
of skills
Apply previously learnt skills to various curriculum areas and real world contexts.