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Orchard Primary & Pre-School

"Small enough to care, Big enough to inspire"

Maths

Mathematics Curriculum Planning Overview

 

Mathematics

1

 To know and use numbers

2

 To add and subtract

3

 To multiply and divide

4

 To know and use geometric facts

5

 To represent geometric constructions

6

 To use measures

7

 To handle data

8

 To understand and use ratio

9

 To reason with maths

10

 To use and apply mathematics

Year 1

Arithmetic  

Autumn

Spring

Summer

Calculate and record addition and subtraction maths stories to 20

Add and subtract 1/2 and 1/4

Use facts to 10 to create addition and subtraction maths stories about 0, 00 and 000 (using what we know)

Copy and solve vertical addition and subtraction (up to 3 digit numbers)

Copy and solve vertical addition and subtraction (up to 4 digit numbers)

 

 

Independently write and solve vertical addition and subtraction with 2 digit numbers (not bridging)

Additional National Curriculum guidance: To be taught during Daily Practice - Ninja Maths

Add and subtract one and two-digit numbers to 20

Use known facts to 10

Know facts to  6, 7, 8, 9

Read and write numbers to 100

Use known facts to 10 ( including 6, 7, 8 9) to calculate to 20

 

  Use  all known facts to 10

    to calculate to 20

 

Geometry

Autumn

Spring

Summer

Draw lines and shapes with a ruler

Make 2D shapes using decimetre sticks and find the perimeter

Measure the length of lines in cm

Make whole, half, quarter and three quarter turns

Name 2D shapes: square, rectangle, triangle and circle, quadrilateral, pentagons and hexagons both regular and irregular and orientation  

Recognise and compare 1D, 2D and 3D shapes

Name , describe and compare 3D shapes: cuboid, cube, pyramid and sphere

Identify 2D faces on 3D shapes

Additional National Curriculum guidance:

 

 

Use positional language:

top/middle/bottom left/right 

Use positional vocabulary: left/right, top/middle/bottom, close/far, inside/outside, between/above

Recognise shapes in different orientations and sizes

 

Data and Measures

Autumn

Spring

Summer

Measure the length of shapes using dm

Find the perimeter of shapes using dm

Use actions: 1cm/1dm/1m and 1g/1kg understand the relationship eg Know that a dm = 10cms

Measure and record length 

Say and write mass

Compare weights 

Select coins for different amounts (not mixing pounds and pence)

 

Calculate change (not mixing pounds and pence)

Draw hands on a clock face

Additional National Curriculum guidance:

 

 

 

 

Use a range of measuring tools

Measure and record using dm/cm, g/kg and l

Compare measurement using vocabulary: long/short, heavier/ lighter, half full/quarter full, full/empty

Recognise the value of coins and notes

Read times: o’clock and half past

Use time vocabulary: before, after, today, tomorrow, yesterday, seconds, minutes, hours, morning, afternoon, quicker/slower, earlier/later

 

Arithmetic 2

Autumn

Spring

Summer

Calculate + and - maths stories

Calculate x maths stories

Calculate ÷ maths stories

Calculate maths stories involving all four operations

Calculate addition and subtraction maths stories involving whole, 1/2 and 1/4

Understand embellished and basic real-life stories

Solve addition and subtraction word problems

Additional National Curriculum guidance:

 

 

+ and - using concrete objects(A1) and pictorial  (A2) representation up to 10 

 x using concrete objects, pictorial representations and arrays 2s

÷ using concrete objects, pictorial representations and arrays  2’s

 

x using concrete objects, pictorial representations and arrays 2s, 10s

Solve problems using pictorial representations

 

Reasoning

Autumn

Spring

Summer

Write numbers 0-9 and record fractions accurately ½, ¼

Calculate + and - maths stories

Use comparative language:

bigger/smaller, equal to, difference between 

Create and draw basic and embellished real-life addition and subtraction stories

Shade 1/2, 1/4 and 3/4 of a shape

Months of the year

Create a bar chart

Additional National Curriculum guidance:

 

 

Understand language involved: add, altogether, total, take away, more than, less than

Recognise ½ of a quantity, linked to halving and doubling

Recognise and find 1/2 of an object, shape and quantity

Recognise and find 1/4 of an object, shape and quantity

 

Daily Practice

Count in ones along a number line

Use positional vocabulary: top, bottom, left and write

Count days and dates on a calendar

Identify shapes: triangles, quadrilaterals, pentagons and hexagons

Draw straight lines between dots

Read and write fractions: 1/2 and 1/4

Calculate totals of money up to 10p

Recognise odd and even numbers 

Count movements on a number line

Number bonds to 10

Number bonds to 20

Find 10 more or less than a number

Fill in missing numbers

Match coins to the price of an item

Estimate number of objects using groups of 2, 5 and 10

Complete a flow diagram: + - x

Compare times of the day

Compare prices of objects

Additional National Curriculum guidance:                                  ESSENTIAL LEARNING

Count forwards and backwards to and across 100

Read and write numbers to 20

Count in 2s

Identify 1 more and 1 less than numbers to 20

Order numbers  to 20 

  Double numbers to 10   

 

 

Read and write numbers to 100

Count in 10s

Identify 1 more and 1 less than numbers to 100

Order: first, second, third

Order numbers 100

  Create repeating patterns with objects                     and shapes

  Halve numbers to 20

 

 

 

Count in 5s

Read and write numbers to 20 in numerals and words

Order numbers

Compare amounts: equal to, more than, less than, fewer than, most, least

  Know and order days of the week Know and order months of the     year

  Know number bonds to 20 and   related subtraction facts

Solve missing number and symbol  maths stories (result of deep understanding of number compliments)

       

 

Year 2

Arithmetic

Autumn

Spring

Summer

Calculate vertical + and - maths stories

Calculate + - x and ÷ maths stories involving 

1/2 and 1/

Calculate vertical addition with one tricky column

Complete vertical subtraction with one tricky column

Solve addition and subtraction word problems

Solve word problems involving all four operations

Write horizontal maths stories vertically and solve with one tricky column

Additional National Curriculum guidance:

 

 

Recall addition and subtraction facts to 20

Use language: sum and difference 

Recognise place value of each digit

Partition in different ways (when

teaching funny counting) e.g. 53=50+3 or 40+13

Use pictorial representations

 

 

Geometry

Autumn

Spring

Summer

Make and name 2D shapes using dm and find the perimeter

Identify lines of symmetry in 2D shapes

Identify right angles

 

 

 

Describe the properties of 3D shapes: number of faces, vertices, edges and shape of faces

Identify lines of symmetry in 2D shapes

Identify angles

 

Recognise squares, rectangles & triangles in different orientations  

 

Name 2D shapes: polygons, quadrilaterals, hexagon, pentagon, octagon

Name special 2D shapes: isosceles triangle, equilateral triangle, right-angled triangle, rectangle, square

Recognise 3D shapes: name prisms and pyramids

Use nets for 3D shapes

Additional National Curriculum guidance:

 

 

2D shape properties: corner, sides, diagonal, vertical, horizontal, symmetry

Rotation as a turn or in terms of right angles for 1/4, 1/2 and 3/4 turns 

Rotate clockwise and anti-clockwise

Name 3D shapes: cuboid, prism, cylinder, cone, pyramid Sort 3D shape

Sort 2D shapes

Patterns/sequences of shape in different orientations

Name 2D and 3D shapes in different orientations

 

Data and Measures

Autumn

Spring

Summer

Read times: o’clock, quarter past, half past, quarter to

Draw the hands on a clock face

Read and write digital times

Select and use measuring tools

Identify explicit and implicit information in grids and bar charts

Measure length using cm, mm, dm, m

Calculate change

Interpret bar charts and pictograms  

Measure length in mm

Read and write digital times 

Additional National Curriculum guidance:

 

 

Know the number of minutes in an hour and hours in a day

Read and write time to 5 minutes

Estimate and measure in mm, cm, m, g, kg, ml, l, oC

Compare measurements using <>= and ‘twice as high’ ‘half as wide’

Use symbol £ and p separately 

Find combinations of coins to make totals

Money word problems 

Pictograms and bar charts in units of 2, 5 and 10

Interpret tally charts and tables 

Construct simple pictograms, tally charts, block diagrams and tables

Compare and sequence intervals of time

 

Arithmetic 2

Autumn

Spring

Summer

Identify maths stories and basic real-life story in embellished stories

Identify implicit and explicit information

 

Partition numbers note  Language: Tens

 ( t y )  Units  ( cups)  also  as  Ones

 interchangeably  from  this  point  onwards  through  K S2

Write mixed numbers

Difference between

Number sequences

Number puzzles: totals of money, missing numbers, find ways to make a total

Number puzzles: order numbers, create numbers, money puzzles, missing numbers and symbols

Find 1/2 and 1/4 of numbers and objects

Write numbers shown on an abacus

Sort numbers using Carroll and Venn diagrams

Additional National Curriculum guidance:

 

 

 

 

Find, name, write fractions of a length, shape, quantity: 1/2, 1/4, 3/4 ,2/4, 1/3

Recognise the equivalence of 2/4 and 1/2

 

 Reasoning

Autumn

Spring

Summer

Inverse of addition

Commutative law

Inverse of multiplication

Grid method x and ÷

Solve word problems involving all four operations 

Type 1 and Type 2 division  

Select and use measuring tools

Solve measuring word problems

Type 1 and Type 2 multiplication

Create x and ÷ maths stories about 0, 00 and 000

Additional National Curriculum guidance:

 

 

Solve missing number problems 

Use related facts e.g. 3+4=70 therefore

30+40=70

Use arrays

Use pictorial representations

Recall multiplication and division facts for 2, 5 and 10 times tables

 

Daily Practice

Find 10 more or less than a number

Find 20 more or less than a number

Recall multiplication facts for 2, 5 and 10 times tables

Know months of the year and number of days in each month

Recall addition facts and corresponding subtraction facts

Number bonds to 50

Use number line to add

Number pairs with 2 digit totals

Money SVDA

Identify totals of money

Read information from calendars

Use calculator for all four operations

Put events in chronological order

Repeated addition and multiplication SVDA

Repeated subtraction and division SVDA

Missing number maths stories

Compare numbers to 100 using <>=

Find missing tens or unit number

Add, subtract and multiply cumulatively

Round numbers to the nearest 10

Estimate answers to calculations

Estimate number of objects

Compare time durations 

Create and describe number patterns

Identify symmetrical patterns 

 

Additional National Curriculum guidance:

 

Count in 2s, 3s, 5s and 10s forwards and backwards 

Read and write 0-100 in numerals and words

Order numbers to 100

Add and subtract mentally a 2 digit number and ones/tens

Add and subtract mentally two 2 digit numbers

Recognise odd and even numbers

Doubling and halving amounts to 100 Recognise doubling as x 2 and halving as ÷

Count in fractions to 10 (e.g. 0 1/4 1/2 3/4 1)

Recognise odd and even numbers

Year 3  

Arithmetic

Autumn

Spring

Summer

Calculate + and - maths stories involving mixed numbers

Vertical + and - with tricky columns (TU)

Calculate + - x and ÷ maths stories involving fifths 

Calculate + - x and ÷ maths stories involving fifths and sevenths 

Vertical + and - with tricky columns (TU)

Calculate + - x and ÷ maths stories involving negative numbers  

Calculate + - x and ÷ maths stories involving negative numbers

Calculate + - x and ÷ maths stories involving fifths and sevenths 

Vertical + and - with tricky columns

(HTU)

Additional National Curriculum guidance:

 

 

Recognise place value of each digit

Partition in different ways e.g.

153=100+50+3 or 140+13

Solve problems involving fractions 

 

 

 

Geometry 

Autumn

Spring

Summer

Investigate properties of lines

Draw and measure lines

Name polygons

Distinguish between clockwise and anticlockwise

Plot co-ordinates

Identify degrees in 1/4, 1/2, 3/4 turns

Draw angles multiples of 10o

Use set squares to identify and draw right angles 

Recognise parallel and perpendicular lines

Plot and draw lines

Use a compass and ruler to draw triangles

Compare and draw triangles specified by co-ordinates

Identify pyramids and prisms from its net

Recognise 3D shapes from 2D drawings

Identify and draw types of triangles

Additional National Curriculum guidance:

 

 

Recognise symmetrical and non-symmetrical polygons and polyhedra

 

Identify whether angles are right angles, acute or obtuse

Identify horizontal and vertical lines 

Make 3D shapes using modelling material

Recognise 3D shapes in different orientations

        

Data and Measures 

Autumn

Spring

Summer

Write digital times

Calculate time differences and durations

Use compass to draw and measure circles and hexagons

Interpret data in grid, pie charts and bar charts 

Measure length and mass

Calculate area, volume, length and perimeter of shapes

Create and interpret tally charts and bar charts

Calculate totals and difference between prices

Estimate and measure mass and capacity

Calculate are a and volume

Solve area word problems 

Additional National Curriculum guidance:

 

 

Read digital 12-hour clocks

Tell the time using Roman numerals

Use vocabulary: o’clock, a.m., p.m., morning, afternoon, noon and midnight 

 

Units of 2, 5 and 10

Interpret pictograms

Solve one and two step problems e.g. how many more/fewer?

Use mm/cm/m, g/kg and mixed units e.g. 1kg and 200g

Compare measurements

Add and subtract measurements 

Add and subtract money (mixed units) and record £ and p separately 

Calculate change 

 

Arithmetic 2 

Autumn

Spring

Summer

Calculate fractions of quantities

Solve word problems involving fractions of quantities

Multiply TU X U using grid method

Solve division word problems 

Express remainders as a fraction

Use all four operations including tenths 

Calculate vertical + and - including decimals

Write squares and square roots

Identify the operation required to solve a word problem

Additional National Curriculum guidance:

 

 

Compare and order fractions 

Equivalent fractions

 

Identify number of tenths e.g. 34.2 2 tenths

Count up and down in tenths

 

  

Reasoning 

Autumn

Spring

Summer

Use vertical + and - to solve word problems

Order numbers

Solve x and ÷ word problems

Multiply TU x U by partitioning 

Multiply TU x U using grid method

Use inverse for division with remainders 

Write a ratio as a fraction

Use known facts to calculate maths stories

Identify fractions that add to 1

Calculate difference between fractions

Partition numbers to solve maths stories involving all four operations1

Solve division word problems

Odd and even numbers

Calculate total cost and difference between prices

Number puzzles

Additional National Curriculum guidance:

 

 

Solve problems involving four times as high, eight times as long

 

 

 

Daily Practice

Recall multiplication facts from 2, 5 and 10 times tables

Recall multiplication facts from 3 and 4 times tables

Recognise equivalences e.g. 2m=200cm

Convert between g/kg, cm/dm/mm

Multiply a 2, 3 and 4 digit multiple of 10 by a 1 digit number

Convert between ml/l, mm/cm/dm/m

Convert times between analogue and digital form

Add and subtract money mentally

Round numbers to the nearest 10 or 100

 

Additional National Curriculum guidance:

ESSENTIAL LEARNING

Count in 2s, 3s, 4s, 5s, 8s, 10s, 50s and 100s forwards and backwards

Count forwards and backwards in tenths

Recall division facts from 3, 4 and 8 times tables 

Find 10 more or less than a number

Find 100 more or less than a number

Read and write numbers to 1000 in numerals and words

Compare and order numbers to 1000

 

Recognise acute, obtuse and right angles

Identify horizontal, vertical, parallel and perpendicular lines

Know number of seconds in a minute

Know number of days in each month

Know number of days in a year and leap year 

Read analogue times to 5 minutes

Read and write times to the nearest minute 

Add and subtract mentally a 3 digit number and ones/tens/hundreds

Year 4 

Arithmetic 

Autumn

Spring

Summer

Calculate maths stories for all four operations involving mixed numbers, halves and quarters

Calculate maths stories for all four operations with vulgar fractions and negative numbers

Read, write and convert between fractions and decimals 

Calculate maths stories for all four operations involving decimal fractions 

Calculate maths stories for all four operations involving fractions, mixed numbers and negative numbers  Place value (4 digit numbers)

Vertical + and - involving decimals

Multiply TUxTU using grid method

Divide HTU/TU by U using grid method

Calculate percentages of whole number quantity

Calculate decimal number percentages using a calculator

Round decimal fractions

Calculate + and - using negative numbers

Multiply TUxTU using grid method

Divide HTU/TU by U using grid method

Additional National Curriculum guidance:

 

 

Compare and order decimals (up to 2dp)

Identify number of hundredths e.g. 34.12 12 hundredths 

Multiply HTU x U using grid method 

Use distributive law e.g. 39x7=30x7+9x7

 

 

Geometry  

Autumn

Spring

Summer

Draw objects in a mirror line

Use a protractor to draw angles

Identify angles

Use vocabulary for circles accurately

Draw shapes using a compass

Label axes (positive and negative)

Draw shapes on axes

Name lines of symmetry

Draw triangles using a compass

Measure angles using a protractor

Draw acute and obtuse angles 

Additional National Curriculum guidance:

 

 

Compare and order angles

Describe position on a grid as coordinates

Describe movements as translations 

Identify regular and irregular polygons

Identify lines of symmetry in different orientations

Complete a simple symmetric figure

 

 

Data and Measures

                    Autumn                                                          Spring                                                         Summer

Read metric prefixes for length, mass               Calculate the circumference of circle                Calculate equivalent fractions and volume

                                                            Find the mean                                   Calculate fractions of quantities using

Compare metric units                                                                                                         equivalent fractions

Read metric equivalences using decimal          Use ratio to convert measurements point

Calculate area and volume 

Additional National Curriculum guidance:

Measure using a range of units                                                                                    Recognise equivalent fractions e.g. 6/9 =

2/3 

Convert between units of measure

Measure and calculate perimeter

 

Not explicitly covered in maths lessons, but needs to be taught perhaps in thematic or science:

  • Read and write analogue and digital time (12 and 24 hour)
  • Solve time problems using converting: hours to minutes, minutes to seconds, years to months and weeks to days
  • Present discrete and continuous data using graphical methods including bar charts and time graphs
  • Use a range of scales when presenting and interpreting data
  • Answer comparison, sum and difference between problems about data presented in bar charts, pictograms, tables and graphs

 

Arithmetic 2

Autumn

Spring

Summer

Multiply TUxTU using grid method

Calculate one step word problems involving all four operations

Use a calculator to solve one step measure word problems involving decimals 

Group calculations to solve maths stories

Solve measure word problems

Solve word problems involving decimal quantities

Solve percentage word problems

Solve fraction and percentage word problems involving all four operations

Round decimals

Additional National Curriculum guidance:

 

 

 

 

Solve two step addition and subtraction word problems

  

Reasoning

Autumn

Spring

Summer

Read and write numbers up to billions

Read and write powers of 10

Use known facts to calculate x and ÷ maths stories

Mentally x three 1 digit numbers

Use index notation for powers of 10

Multiply three numbers with a decimal fraction using a calculator

Identify terms

Use algebraic expressions 

Additional National Curriculum guidance:

 

 

Recognise the place value of each digit 

Derive fact e.g. 600÷3=200 can be derived from 2x3=6

 

 

 

Daily Practice

Round to the nearest 10 and 100

Recall multiplication and division facts up to 100

Convert m to cm, kg to g and ml to l

Find 1 more or less than any number (positive and negative)

Convert between decimal and vulgar fractions

Convert pence to pound

Convert time analogue and digital

Recall multiples of 8, 9 and 10

Give factors of 4, 10, 12 and 15

Convert mm to m and pounds to pence

Recall multiples of 3, 4, 5, 6, 7, 9 and 10

Give factors of 1, 5, 7, 9

Give factors of 12, 15, 16 and 18

Find common equivalent fractions

Give multiples of 5, 7, 8 and 10

Give factors of 10, 15, 18, 20, 24 and 25

Convert between decimals and fractions for tenths, hundredths and thousandths 

Convert between miles and km

Additional National Curriculum guidance:

ESSENTIAL LEARNING

Count in multiples of 6, 7, 9, 25 and 1000

Find 1000 more or less than a given number 

Count forwards and backwards (negative numbers)

Order and compare numbers beyond 1000

Round numbers to the nearest 10, 100 or 1000

Read Roman numerals to 100

Recall multiplication and division facts up to 12x12

Compare amounts of money in pounds and pence (using decimal notation)

Recognise and use factor pairs up to 144

Count up and down in hundredths 

Recognise and write decimal equivalents to 

Compare and order decimals (up to 2dp)

Classify triangles: equilateral, isosceles, scalene

Classify quadrilaterals: parallelogram, rhombus, trapezium

Year 5

Arithmetic

Autumn

Spring

Summer

Vertical + and - with more than one tricky column

Calculate + - x ÷ maths stories involving vulgar fractions and mixed numbers

Vertical + and—decimals with more than one tricky column

Multiply vulgar fractions 

Use fractions as divisions

Convert vulgar fractions to finite decimal

Use four operations with positive and negative numbers (bring  forward

 from  MM S6  A 1  B3)

 

Multiply TUxTU using grid method

Multiply HTUxTU with decimals using grid method

Divide HTU÷U using grid method

Multiply and divide decimals (up to 3dp) by multiples of powers of 10

Use derived products to calculate x and ÷

Additional National Curriculum guidance:

 

 

Identify the value of each digit

Order and compare fractions and decimals 

Recognise and use thousandths 

Multiply THTUxTU/U

Multiply by 10, 100 and 1000

Divide THTU÷U using grid method

Divide by 10, 100 and 1000

Interpret remainders as fractions, decimals or rounding 

 

Geometry

Autumn

Spring

Summer

Investigate properties of shape and symmetry

Name and draw angles: acute, obtuse, reflex and right

Name and calculate vertically opposite and supplementary angles

Draw angles using a protractor

Calculate the circumference and area of a circle

Explore the properties of angles

Investigate angles of polygons

Recognise, name and sketch polygons

Identify properties of polygons

Additional National Curriculum guidance:

 

 

Estimate and compare angles

Use markings for parallel lines and right angles 

 

Use properties of rectangles to find missing lengths and angles

Distinguish between regular and irregular shapes

  

Data and Measures

Autumn

Spring

Summer

Solve measure word problems involving all four operations and percentage increase/decrease

Investigate 3D shapes

Convert metric and imperial units

Read scales

Interpret a calendar and timetable

Use time durations in calculations and word problems

Construct a bar chart

Find the mode

Draw and interpret distance-time graphs

Round measures

Use ratio to convert between units of measure

Estimate area of regular and irregular shapes

Calculate the perimeter and the area of compound shapes (From MMS6 DM B5 for earlier SATs  experience)

Calculate time durations

Solve time word problems

Additional National Curriculum guidance:

 

 

Explain operations and methods when solving problems 

Convert between fractions, decimals and percentages

Solve comparison, sum and difference problems about a line graph 

Calculate perimeter in cm and m

Compare area of shapes using cm2 and m2

Estimate volume and capacity 

Express missing measures algebraically

 

Arithmetic 2

Autumn

Spring

Summer

Complete missing number grids and sentences

Complete number sequences involving square numbers

Solve one and two step word problems

Use <≤>≥

Investigate factors and proper factors

Use divisibility tests

Investigate factors and proper factors

Identify prime numbers (0-100)

Write numbers as a product of their prime factors

Investigate factors

Evaluate terms and products in expressions including brackets

Additional National Curriculum guidance:

 

 

Find common factors of two numbers 

Understand term: factor, multiple, square and cube number

Use notation (2) and (3)

Use vocabulary: prime number, prime factors, composite (non-prime) number

 

  

 Reasoning  

Autumn

Spring

Summer

Write and convert times using 24 hour notation

Calculate time duration (24 hour)

Solve algebraic equations

Solve measure and fraction problems by exploring relationships

Solve one, two and three step money problems

Solve puzzles by calculating quantities 

Carry out investigations involving shape, number and real-life situations

Use timetables

Calculate durations: difference between, total and mean

Calculate equivalences and fractions of periods of time

Additional National Curriculum guidance:

 

 

 

Solve problems involving decimals 

 

 

Daily Practice

Add and subtract money

Recall multiplication and division facts (up to 12x12)

Give multiples of all times tables

Give factors 

Identify value of digits (including decimals)

Convert times 12 hour to 24 hour

Convert measures g to kg, l to ml, cm to m, km to m

Convert fractions to decimals

Calculate time durations 

Find equivalent fractions

Order decimal fractions using a number line

Convert between fractions, decimals and percentages

Round to the nearest 100

Find the mode and median of a data sample

Multiply and divide by 15 and 20 

Additional National Curriculum guidance:

ESSENTIAL LEARNING

Read and write numbers to 1 000 000

Order numbers to 1 000 000

Compare numbers to 1 000 000 

Count forwards or backwards in steps of 100, 1000 and 10000

Count forwards and backwards (negative numbers)

Round numbers to the nearest 10, 100, 1000, 10000, 100000

Count forwards and backwards in decimals and fractions 

Mentally add and subtract large numbers e.g. 12462-

2300=10162

Recall prime numbers to 19

Recognise years written in Roman numerals

Round decimals to the nearest whole number 

Order and compare fractions

Order and compare decimals 

Mentally add and subtract tenths 

Add and subtract decimals finding complements of 1 e.g.

0.83+0.17

Recognise and use square roots and square numbers 

Read Roman numerals to 1000

             

Year 6 

Arithmetic

Autumn

Spring

Summer

Multiply HTUxTU using grid method

Estimate the value of products by rounding including decimals

Divide THTU÷U using grid method

Estimate the value of quotients, including decimals, by rounding

Use equivalent fractions in calculations using all four operations

Calculate all four operations using negative numbers and vulgar fractions (using equivalent fractions and improper fractions with tricky examples)

 

 From  MMS 6  A1  B6   Write a vulgar fraction as a decimal fraction to three decimal places, using a calculator for division, e.g. 7/11 = .636

 

From  MMS 6  A1  B6  Convert decimal fractions to vulgar fractions using tenths, hundredths and thousandths, e.g. .625 =

625/1000

 

Use the formulae for diameter, circumference and area ( not needed for  SATs) of a circle

Use the formulae for area and volume

Convert between decimal fractions and vulgar fractions

Write recurring infinite decimals in abbreviated forms

 

Calculate all four operations using negative numbers (moves from MMS6

A1 B4 not needed for SATs

 

 

 

 

 

Additional National Curriculum guidance:

 

 

Multiply 1 digit number with 2dp by whole numbers

Divide decimal numbers by U

Interpret remainders as whole numbers, fractions or by rounding

Identify the value of each digit

Compare and order fractions

When calculating with fractions write answers in its simplest form

Divide proper fractions by whole numbers

Illustrate and name parts of a circle: radius, diameter and circumference Associate a fraction with division 

 

Geometry

Autumn

Spring

Summer

Fund the sum of interior and exterior angles of a polygon

Recognise reflection, translation, enlargement and rotation 

Name transformations of shapes

Measure angles

Measure length

Draw images and complete shapes using lines of reflection 

Calculate angles in isosceles triangle 

Sort quadrilaterals

Complete coordinates of shapes

Identify and write the order of rotational symmetry

Calculate the interior, exterior and missing angles

Draw the perpendicular lines 

Draw the bisector of an angle

Draw the circum-circle of a triangle

Draw the in-circle of a triangle

Additional National Curriculum guidance:

 

 

Draw and translate simple shapes and reflect them in axes

Draw 2D shapes using given dimensions and angles 

Recognise, describe and build 3D shapes including making nets

Compare and classify geometric shapes 

Draw and label a pair of axes in all four quadrants

Describe positions on the full co-ordinate grid

Find unknown angles: triangles, quadrilaterals and regular polygons

 

 Data and Measures

Autumn

Spring

Summer

Solve measuring word problem using km, ml, l, g and kg

Draw a pie chart

Solve problems involving ratio and proportion 

Read scales (mass)

Compare weighing scales

Construct and interpret frequency tables, bar charts and pie charts

Plan and carry out a survey using discrete and grouped data

Convert between yards and metres

Calculate perimeter and area of compound shapes

Calculate surface area and volume of cuboids

Solve problems with cuboids

Understand the golden ratio

Calculate ratios and use ratios to construct shapes

Collect, organise, select and present information 

Additional National Curriculum guidance:

 

 

Solve problems involving conversion between units

Solve money problems

Link percentages of 360o to calculating angles of pie charts

Compare quantities using the notation a:b

Solve problems involving the relative sizes of two quantities 

Convert measurements using decimal notation up to 3dp

Construct line graphs 

Convert between miles and km

Know approximate conversions 

Recognise shapes can have same area but different perimeter and vice versa 

Calculate the area of parallelograms and triangles

Estimate and compare volumes: cm3, m3, mm3, km3

 

Arithmetic 2

Autumn

Spring

Summer

Multiply HTUxTU using short method

Divide HTUxTU using short method with remainders

Convert between fractions, decimals and percentages

Ratio of quantities

Write a quantity as a fraction or percentage of the total quantity

Solve word problems by involving percentage increase/decrease

Solve money problems using all four operations

Add and subtract squares and cubes of numbers

Calculate products

Use algebraic notation for the sum, difference, product, and quotient of two numbers

Find the greatest or smallest sums, difference, products and quotients of two numbers within a possible range

Calculate products

Solve number puzzles involving algebraic terms

Identify and divide numbers by their factors

Additional National Curriculum guidance:

 

 

Interpret remainders as whole numbers, fractions or by rounding

 

Express missing number problems algebraically 

 

 Reasoning

Autumn

Spring

Summer

Calculate mean, median, mode and range

Probability

Interpret a distance-time graph 

Interpret a temperature-time graph

Identify terms and products in expressions

Evaluate expressions with and without brackets

Solve linear equations that involve one operation with whole and decimal numbers

Express vulgar fractions as percentages

Additional National Curriculum guidance:

 

 

 

Construct line graphs

Explore the order of operations using brackets 

Enumerate possibilities of combinations of two variables

 

Daily Practice

Recall multiplication and division facts (up to 12x12)

Multiply by 15

Round numbers to 1dp

Write factors and multiples of given numbers

Convert between m and km, cm and m, cm and mm, ml and l and g and kg

Find a fraction or percentage of whole number

Calculate time duration

Calculate angles in a triangle 

 

Convert between fractions, decimals and percentages

Multiply by 25

Multiply and divide pairs of multiples of 10 and 100

Find equivalent fractions 

Round numbers to 2dp

Write a number as product of its prime factor

Round numbers to 3dp

 

Additional National Curriculum guidance:

ESSENTIAL LEARNING

Read and write numbers to 10 000 000

Order numbers to 10 000 000

Compare numbers to 10 000 000

Round numbers with accuracy (nearest 10, 20, 50 etc.)

Count forwards and backwards (negative numbers)

 

Use the four operations mentally 

Identify common factors, common multiples and prime numbers 

Partition decimals to 3dp

Mentally add and subtract negative numbers

Compare and order fractions including fractions >1

 

 

Early Years

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