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 1/4 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, 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 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 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 100

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 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: 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