Orchard Primary
& PreSchool
Orchard Primary & PreSchool
"Small enough to care, Big enough to inspire"
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 twodigit 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 reallife 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 09 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 reallife 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 1/4 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, rightangled 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 anticlockwise 
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, ^{o}C 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 reallife 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 0100 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 coordinates 
Identify degrees in ^{1}/_{4}, ^{1}/_{2}, ^{3}/_{4} turns Draw angles multiples of 10^{o} 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 coordinates 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 nonsymmetrical 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 12hour 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:

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 distancetime 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 cm^{2} 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 (0100) 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 (nonprime) 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 reallife 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 circumcircle of a triangle Draw the incircle 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 coordinate 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 360^{o} 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: cm^{3}, m^{3}, mm^{3}, km^{3} 
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 distancetime graph Interpret a temperaturetime 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
