Maths Curriculum

Year 3

Year 4

Year 5

Year 6

Illustration of cone, cube, scale and ruler

Year 3

Autumn - First half term

Week 1

Number and Place Value

To recognise the place value of each digit in a three digit number
To write numbers up to a 1000 using digits
To write numbers up to a 1000 using words
To use part, part whole to partition numbers in different ways
MM To identify what odd or even number comes after a given number e.g. What odd number comes before 301? What are the next four even numbers after 196?

Week 2

Addition

To use a number line for addition with partitioning
To add three digit numbers with no regrouping
To add three digit numbers with regrouping in the ones place value column
To add three digit numbers regrouping in the tens and one’s place value columns
MM To count on in multiples of 4 using number bonds. Adding 4 is the same as adding 3 then 1 or 2 then 2 or 1 then 3

Week 3

Subtraction

To count back to find the difference using a number line
To subtract three digit numbers with no exchanging
To subtract three digit numbers with exchanging from tens to one’s
To subtract three digit numbers with exchanging across all place value columns
MM To count on in multiples of 8. Show how to use number bonds to help. Adding 8 is same as adding 7 then 1 or 6 then 2 or 5 then 3 or 4 then 4 or vice versa

Week 4

Multiplication

To use number bonds to identify factors and products knowing what are factors and products – E.g. 5 x 4 = 20, so 4 x 5 = 20
To recognise how place value changes with multiplying by 10
To demonstrate two digit by one digit multiplication using the grid method
To demonstrate two digits by one digit multiplication moving from grid method to expanded multiplication
MM To count in multiples of 50

Week 5

Division

To use number bonds to identify factors, multiples and products. Use multiples of 2, 3, 4, 5, 8 and 10
To recognise how place value changes when dividing by 10
To divide a two digit number by a one digit number (No remainders)
To divide a two digit by a one digit number with some remainders
MM To count in multiples of 100

Week 6

Fractions

To identify unit fractions of objects, shapes and length
To identify non-unit fractions of objects, shapes and length
To compare fractions that share the same denominator
To order fractions in ascending and descending order with same denominator
MM To count forwards and backwards by 10

Week 7

Measurement Time

To explain each roman numerals up to 20
To tell and write the time from analogue clocks
To tell and write the time from digital clocks
To match and convert between digital and analogue clocks
MM To count forwards backwards by 100

Autumn - Second half term

Week 1

Measure

To recognise tenths arise from dividing an object into ten equal parts
To count up and down in tenths
To recognise equivalent fractions
To calculate fractions of a quantity

Week 2

Geometry – Shape

To identify horizontal, vertical lines and pairs of perpendicular and parallel lines
To identify different types of angle
To describe the properties of 2-D shapes
To draw a range of 2-D shapes
MM To identify the next number in a sequence

Week 3

Statistics

To interpret data presented in a table
To interpret data presented in a pictogram
To interpret data presented in a bar chart
To classify shapes, numbers and objects into a Venn diagram
MM To calculate quickly pairs of multiples of 5 that total 100

Week 4

Measurement – Length and Mass

To measure and compare lengths in m, cm and mm (using rulers or tapes)
To measure and compare mass in kg and g
To convert between units of length – m, cm and mm
To convert between units of mass – kg and grams
MM To add pairs of multiples of 100 that make 1000 as well as cross 1000

Week 5

Measurement – Volume capacity

To measure and compare volume and capacity
To convert between units of volume and capacity
To solve capacity problems using both addition and subtraction
To use multiplication and division to scale by integers – context volume and capacity See Y3 PA maths for examples
MM To add 3 digit numbers and one using number bond facts e.g. 482 + 9 = 480 + 8 + 1 or 611 + 7 = 611 + 4 + 3

Week 6

Number and place value

To compare three digit numbers
To order three digit numbers in ascending and descending order
To identify, draw and estimate amounts on a number line
To round numbers to the nearest 10 or 100 using a number line
MM To subtract 3 digit numbers and ones using number bond facts e.g. 345 – 7 = 345 – 5 – 2. 518 – 9 = 518 – 8 – 1

Week 7

Measurement – Four Operations

To solve measurement problems using both addition and subtraction in the context of length
To use multiplication and division to scale by integers – context length
To solve measurement problems using both addition and subtraction in the context of mass
To use multiplication and division to scale by integers – context mass
MM To add and subtract 3 digit numbers and ones using number bond facts

Spring - First half term

Week 1

Addition and subtraction

Model estimation throughout the two weeks to build on the first lesson

To use estimation to check the accuracy of addition and subtraction
To use the inverse to check calculation
To add three digit numbers regrouping across all place value columns
To subtract three digit numbers exchanging across all place value columns
MM – To add two digit multiple of tens to three digit numbers e.g. 285 + 9. First 85 + 9, which is like 85 +5 + 4. So 285 + 9 = 294

Week 2

Addition and subtraction

To develop and recognise patterns in addition
To develop and recognise patterns in subtraction
To use addition and subtraction to solve one step word problems
To use addition and subtraction to solve one and two step word problems
MM – To subtract two digit multiple of tens from three digit numbers. Make links to number bonds. e.g. 260 -80 is like 26 – 8 or 26 – 6 – 2 therefore 260 – 80 = 180

Week 3

Multiplication

To identify factors of numbers up to 50
To recognise how place value changes when multiplying and dividing by 10
To carry out short multiplication (expanded method)
To carry out short multiplication with regrouping (moving away from expanded)
MM – To add multiples of one hundred from three digit numbers

Week 4

Division

To divide a two digit by a one digit number with remainders and exchanging in the ones column e.g. 82 divide by 4
To divide two digits by a one digit number with remainders and exchanging in multiple place value columns. e.g. 57 divide by 3
To solve measuring and scaling problems (multiplication and division)
To solve one step multiplication and division word problems
MM – To subtract multiples of one hundred from three digit numbers

Week 5

Fractions

To compare fractions with different denominators
To order fractions with different denominators
To add like fractions
To subtract like fractions
MM – To use partitioning to add three and two digit numbers. e.g.55 + 37 = 55 + 30 + 7

Week 6

Fractions

To identify non-unit fractions of objects, shapes and length
To recognise equivalent fractions
To calculate fractions of a quantity
To solve one and two step problems involving fractions
MM – To use partitioning subtract three and two digit numbers. e.g. 365 – 42 is 60 – 40 and 5 – 2 giving an answer of 323

Spring - Second half term

Week 1

Geometry – Shape

To construct 3-D shapes using modelling materials
To recognise 3-D shapes in different orientations
To recognise angles as a description of a turn
To identify and describe symmetrical and non-symmetrical polygons ad polyhedral

Week 2

Statistics

To solve one and two step problems using data recorded in a table
To solve one and two step problems using data recorded in bar charts
To solve one and two step problems using data recorded in pictograms
To organise shapes, numbers and objects into a Carroll diagram
MM – To add and subtract two and three digits that bridge through multiples of 10 and 100. e.g. 57 + 13 = 57 + 3 + 10 or 342 – 8 = 342 – 2 – 6

Week 3

Measurement – Money

To recognise and use coins and notes to compare amounts (Will involve converting between pounds and pence)
To select different combinations of coins to make the same amounts of money e.g. What is the smallest number of coins I could use to make 80p? I have 5 coins that make £1.35. What could they be?
To solve money problems that involves finding the total
To calculate the change given in £ and p
MM – To use compensation when adding and subtracting – E.g. 53 + 11 = 53 + 10 + 1 or 70 – 9 = 70 – 10 + 1

Week 4

Measurement – Time

To tell and write the time in both analogue and digital clocks
To identify the number of days in each month, years and leap year. Teach pupils knuckle trick for remembering
To compare times in seconds, minutes and hours
To calculate and compare duration of events
MM – To identify doubles of multiples of 5. e.g. 30 + 30 or 85 + 85

Week 5

Number and Place Value

To count up and down in 10 and 100
To write numbers as words and vice versa
To compare and order a three digit numbers
To solve a range of number and place value problems
MM – To add using near doubles e.g. 19 + 20 = 20 + 20 – 1

Week 6

Four Operations – Context Measurement

To measure and calculate perimeter of 2-D shapes
To recognise the place value of different measures
To convert between different units of measure
To identify fractions of measures

Summer - First half term

Week 1

Addition and subtraction

To use estimation when solving three digit addition and subtraction with regrouping/ exchanging
To solve missing number addition and subtraction word problems
To use reasoning to explain misconceptions in addition and subtract column method
To solve one and two step addition and subtraction word problems
MM To subtract numbers that are close together using counting on e.g. 500 – 488 = 488 + 12

Week 2

Multiplication and division

To use estimation when solving three digit by one digit short multiplication (no expanded)
To use estimation when solving bus stop division (including remainders)
To solve one and two step multiplication and division problems
To demonstrate when to round up or down depending on context when multiplying and dividing
MM To multiply a number by 10 or 100

Week 3

Multiplication and division

To use distributive property strategy to divide ‘friendly’ numbers
To solve missing number multiplication and division problems
To use reasoning to explain misconceptions in multiplication and division column method
MM To divide a number by 10 or 100

Week 4

Fractions

To count up and down in halves, quarters and thirds, identifying missing fractions on a number line or in a sequence
To identify fractions that are between two numbers e.g. What fraction is half way between 3 and 4? What fraction is in between 5 and 5 and 1/2? What fractions could be between 7 and 8?
To recognise equivalent fractions
To compare and order fractions
MM To use times table facts to multiply mentally

Week 5

Fractions

To identify unit and non-fractions of objects, shapes and length
To add and subtract like fractions
To calculation fractions of a quantity
To solve a range of problems involving fractions
MM To use times table facts to divide mentally

Week 6

Geometry – Shape

To identify horizontal, vertical lines and pairs of perpendicular and parallel lines
To identify different types of angle
To identify lines of symmetry in regular and irregular 2-D shapes
To measure and calculate perimeter of 2-D shapes

MM To double and halve two and three digit numbers

Summer - Second half term

Week 1

Geometry – Position and Direction

To describe the position on a 2-D grid as coordinates
To describe movements of coordinates on a grid as translations (left, right, up and down/ NSEW)
To plot specific points on a quadrant
To draw simple symmetric patterns and shapes across a mirror line

Week 2

Measurement – Money

To select different combinations of coins to make the same amounts of money e.g. What is the smallest number of coins I could use to make 80p? I have 5 coins that make £1.35. What could they be?
To solve money problems that involves finding the total
To calculate the change given in £ and p
To solve a range of one and two step word problems involving money
MM To multiply by 4 and 8 using doubling

Week 3

Measurement – Length, Mass and Volume

To measure and compare lengths in m, cm and mm (using rulers or tapes)
To measure and compare volume and capacity
To convert between units of length, mass and volume
MM To divide by 4 and 8 using halving

Week 4

Measurement – Length, Mass and Volume

To recognise the place value of different measures, see Y3 PA maths number and place value for examples
To calculate fractions of measures, see Y3 PA maths for example
To solve addition and subtraction problems in the context of LMV
To use multiplication and division to scale by integers – context LMV

Week 5

Statistics

To record and interpret data in a table (Pupils put their own/class / given data into a bar chart)
To record and interpret data in a bar chart (Pupils put their own/ class/ given data into a bar chart)
To record and interpret data in a pictogram (Pupils put their own/ class/given data into a bar chart)
To record and interpret data in a Carroll Diagram (Pupils put their own/ class/given data into a bar chart)
MM To multiply two digit by one digit numbers mentally using partitioning

Week 6

Measurement – Time

To compare time written in both analogue and digital clocks
To convert between the days months and years
To convert between time in seconds, minutes and hours
To calculate and compare duration of events
MM To state own date of birth and calculate who is older and younger

Autumn 1

Number and place value
Addition
Subtraction
Multiplication
Division
Fractions
Time

Autumn 2

Fractions
Geometry – shape
Statistics
Length and mass
Volume and capacity
Number and place value
Four operations in the context of problem solving

Spring 1

Addition and subtraction
Multiplication
Division
Fractions

Spring 2

Geometry – shape
Statistics
Money
Time
Number and place value
Four operations in the context of measurement

Summer 1

Addition and subtraction
Multiplication and division
Fractions
Geometry – shape

Summer 2

Geometry – position and direction
Money
Length, Mass & Volume
Statistics
Time

Year 4

Autumn - First half term

Week 1

Number and Place Value

To recognise the place value of each digit in a four digit number
To write numbers beyond a 1000 using digits and words
To calculate 10, 100 or 1000 more or less than any given number
To compare and order numbers beyond 1000
MM To count in multiples of 6,7 and 9

Week 2

Addition and Subtraction

To add four digit numbers with no regouping
To subtract four digit numbers with no exchanging
To add four digits numbers with regrouping in one or two place value columns
To subtract four digit numbers with exchanging in one or two place value columns
MM To add and subtract multiples of ten mentally

Week 3

Addition and subtraction

To add four digit numbers with regrouping in multiple place value columns
To subtract with numbers that have zero in multiple place value colums. E.g. 5000 – 374
To add decimals up to two decimal places
To subtract decimals up to two decimal places
MM To add and subtract using partioning

Week 4

Multiplication

To multiply by 10, 100 and 1000
To multiply three digit numbers by a one digit number using short multiplication
To multiply two digit by two digit numbers
To recognise factor pairs of a number
MM To recognise what happens when multiplying and dividing by 1 and 0

Week 5

Division

To use number bonds to identify factor and products (solving missing number sentences)
To divide by 10, 100 and 1000
To divide a two digit number using short division (including remainders, no exchanging)
To divide three digit numbers using short division, including exchanging and remainders
MM To use times table facts to multiply and divide mentally

Week 6

Fractions and Decimals

To use factors and mulitples to recognise equivlant fractions
To simplify fractions
To compare fractions
To calculate fractions of amounts
MM To count forwards or backwards in steps of fractions

Week 7

Measurement – Time

To tell and write the time on an analogue clock
To convert time between analogue and digital clocks
To convert between hours, minutes and seconds
To convert between days, weeks, months and years
MM To identify how many days are in each month of the year

Autumn - Second half term

Week 1

Fractions and decimals

To add like fractions
To subtract like fractions
To recognise and write decimal equivalents of tenths
To compare and order decimals up to 2DP

Week 2

Geometry – Shape

To classify a range of regular and irregular polygons
To classify different triangles
To classify different quadrilaterals
To identify lines of symmetry in 2-D shapes presented in different orientations
MM To subtract mentally using counting

Week 3

Statistics

To interpret data recorded in a table
To interpret and present data in a bar chart
To interpret and present data in a pictogram
To intrepret and present data on a time graph
MM To use time table facts to multiply and divide mentally

Week 4

Measurement Length and Mass

MM – To multiply and divide by 10, 100 and 1000
To estimate, compare and calculate measures using rulers or tapes
To convert between different units of length
To read analogue and digital scales to find the mass of an object
To convert between different units of mass

Week 5

Measurement – Volume and Capacity

To solve four operation problems that involve length and mass
To estimate, compare and measure the capacity and volume using intervals
To convert between litres and millilitres
To solve four operation problems that involve volume and capacity
MM To estimate a range of measures

Week 6

Measurement – Perimeter and Area

To calculate the perimeter of rectangles and squares
To calculate the area of a shapes by counting the number of squares
To calculate the area of squares and rectangles
To make comparisons betweent the perimter and area
MM To identify different shapes and their properties

Week 7

Four Operations Context of Problem Solving MWV

To add and subtract four digit numbers where there is re-grouping in multiple place value columns Look back at measure section
To multiply three digits by a one digit number (short multiplication)
To multiply two digit by two digit numbers (short multiplication)
To divide three digit by one digit numbers including remainders and exchanging – Look back at measure section
MM to identify pairs of multiples of 50 that total 1000

Spring - First half term

Week 1

Number and Place Value

To compare and order numbers beyond 1000
To round any number to the nearest 10, 100 and 1000
To estimate and round numbers in the context on measurement
To identify and count in negative numbers
MM To count in multiples of 25 and 1000

Week 2

Addition and Subtraction

To use the inverse to check addition and subtraction calculations
To use estimation to check addition and subtraction with regrouping/exchanging
To solve one step addition and subtraction word problems
To solve multi-step addition and subtraction word problems
MM To add or subtract three or more numbers mentally using re-ordering e.g. 5 + 8 + 15 + 32.= (32+8) + (5+15) Encourage use of number bonds to add/subtract ‘easier’ numbers first

Week 3

Multiplication and Division

To multiply two digit by two digit numbers
To multiply decimals
To divide a three digit number by a one digit number
To solve one and two step word multiplication and division problems
MM To multiply together 3 numbers using times table facts

Week 4

Fractions and Decimals

To round decimal numbers to the nearest whole number
To recognise and write decimal equivalents of hundredths
To recognise and write decimal equivalents of halves and quarters
To solve four operation one and two step word problems with fractions and decimals
MM To identify factor pairs of any number up to 100

Week 5

Fractions and Decimals

To add and subtract like fractions
To calculate fractions of amounts
To compare and order fractions on a numberline with varied and missing intervals
To compare and order decimals on a numberline going through 0, with varied and missing intervals
MM To recognise the value of each digit from 10,000s to 1/100ths

Week 6

Geometry – Position and Direction

To recognise positions on a 2-D grid
To plot points on a coordinate grid
To describe movements between positions as translations
To draw shapes on a coordinate grid
MM To recognise that a right angle is a 90 degree turn, two make a half turn, 3 make 3/4 turn and four make a complete turn

Spring - Second half term

Week 1

Geometry – Shape

To identify acute, obtuse and right angles
To classify and compare angles
To draw reflections in order to create a symmetric shape
To compare and classify geometric shapes based on their properties (faces, vertices and edges)

Week 2

Measurement – Money

To estimate and compare amounts of money
To calculate change in pounds and pence
To multiply and divide in the context of money
To solve a range of money problems in the context of four operations
MM To convert pounds into pence and vice versa

Week 3

Measurement – Time

To solve problems converting hours, minutes and seconds
To solve problems converting years months, weeks and days
To calculate and compare time duration of events
To calculate time durations that pass through the hour
MM To use knowledge of No of days in months to solve a range of problems . e.g. Jan went swimming on Wednesday 14th Jan. He went swimming exactly 4 weeks later. What was the date? The pool closed on Friday 20th March. It opened on Friday 10th April. How long had it been closed?

Week 4

Statistics

To solve problems related to data recorded in a table
To solve problems with bar charts
To solve problems related to pictograms
To solve problems related to time graphs
MM To calculate mentally one fact: (91-25=□) and then state the other three related facts

Week 5

Measurement – Length/Mass/Capacity

To multiply and divide by 10, 100 and 1000. Particular when product is a decimal number
To convert between units of measurement across length, mass and capacity
To solve a range of one step word problems based on measurement
To solve a range of two step word problems based on measurement
MM To extend and explain number sequences (48, 41, 34, 27…) including those that continue beyond zero (5, 1, -3…)

Week 6

Measurement – Perimeter and Area

To find the perimeter of rectangles and squares
To find the area of a shapes by counting the number of squares
To find the area of squares and rectangles
To make comparisons between the perimeter and area

Summer - First half term

Week 1

Number and Place Value

To distinguish between use Roman numerals
To count forwards and backwards in negative numbers
To explain the place value of decimals
To solve a range of problems involving number and place value
MM To calculate 10, 100 or 1000 more or less than a given number

Week 2

Addition and Subtraction

To solve missing number addition and subtraction problems, including decimals
To identify and explain misconceptions in addition and subtraction working out, including decimals
To solve a range of addition and subtraction one and two step word problems
MM To add and subtract using compensating – E.g. 38 +69 =38 + 70 – 1. 405 – 298 = 405 – 300 +2. – Extra materials needed
MM – To add using near doubles- extra materials required – e.g. 38 + 35 = Double 35 + 3. 1.5 + 1.6 = Double 1.5 + 0.1 or Double 1.6 – 0.1

Week 3

Multiplication and Division

To use the distributive law
To use associative law to multiply three numbers
To solve one and two step problems using scaling
MM To use doubling and halving facts to solve multiplication and division mentally. e.g. 36 x 50 = 36 x 100 divided by 2. 1/4 of 64 = half of half of 64. 60 x 4 = 60 x 2 x 2

Week 4

Fractions and Decimals

To use common factors and multiples to find equivalent fractions
To add and subtract fractions
To calculate fractions of amounts, as well as the total when you know the fraction. e.g. If 1/4 = 30 than the total must be 120
To identify fraction and decimal equivalents across tenths and hundredths, including numbers above 1
MM To count forwards and backwards in decimals

Week 5

Fractions and Decimals

To identify decimal equivalents of common fractions e.g. 1/2, 1/3, 1/4, 1/5, 1/8, 1/10. If I know 1/3 is 0.333… then I know 2/3 is…
To compare and order multiple fractions by finding their decimal equivalents.- e.g. 1/4, 4/10, 65/100 and 1/2
To solve a range of one step word problems involving fractions and decimals. Encourage annotation or visual aids like bars
To solve a range of two step word problems involving fractions and decimals. Encourage annotation or visual aids like bars
MM To round an decimal up to two DP to the nearest whole number

Week 6

Geometry – Position and Direction

To reflect shapes across a quadrant
To plot points on a coordinate grid
To describe movements between positions as translations
To draw shapes on a coordinate grid
MM To solve a range of problems involving quarter/half/ 3/4/full turns. e.g. If it s 3 o clock, how many degrees will the minute hand turn if the time is 3:45? Mr Webster stands on the spot and turns 720 degrees. How many turns has he completed? Vary the context but time makes sense

Summer - Second half term

Week 1

Four Operations Money

To estimate and compare money
To calculate change in pounds and pence when buying with a range of amounts including notes £10/£20/£50
To multiply and divide using money
To solve a range of money problems in the context of four operations

Week 2

Geometry – Shape

To identify, classify and compare angles
To compare and classify a range of regular and irregular polygons
To classify different triangles and quadrilaterals
To compare and classify geometric shapes based on their properties
MM To identify pairs of parallel and perpendicular lines with shapes and rays

Week 3

Four Operations

To solve missing number problems related to multiplying by one and two digits- extra materials required
To solve missing number problems related to short division
To identify and explain misconceptions in multiplying by one and two digits
To identify and explain misonceptions in bus stop division
MM To use times table facts to multiply and divide mentally

Week 4

Time

To tell and convert the time between analogue and digital clocks
To convert between a range of units of time. Seconds, minutes, hours, days, months, weeks and years
To calcuate time durations that pass through the hour
To solve a range of time problems that require the four operations
Review of all concepts

Week 5

Statistics

To interpret and present data on a line graph – Pupils draw and produce their own line graph based on data given to them
To interpret and present data in a bar chart. Pupils draw and produce their own bar chart based on data given to them
To interpret and present data in a pictogram. Pupils produce their own pictogram based on a data given to them
To interpret and record data into a Venn diagram
To interpret and record data into a Carroll diagram

Week 6

Four Operations

To solve a range of four operation problems on length, mass and volume
To solve a range of four operation fraction and decimal problems
To solve a range of number and place value problems
To solve a range of perimeter and area problems
To solve a range of shape problems

Autumn 1

Number and place value
Addition and subtraction
Multiplication
Division
Fractions and decimals
Time

Autumn 2

Fractions and decimals
Geometry – shape
Statistics
Length and mass
Volume and capacity
Perimeter and area
Four operations in the context of problem solving

Spring 1

Number and place value
Addition and subtraction
Multiplication
Division
Fractions and decimals
Position and direction

Spring 2

Geometry – shape
Money
Time
Statistics
Length, mass and capacity
Perimeter and area

Summer 1

Number and place value
Addition and subtraction
Multiplication and division
Fractions and decimals
Position and direction

Summer 2

Money
Shape
Four operations
Time
Statistics
Four operations

Year 5

Autumn - First half term

Week 1

Number and Place Value

To recognise the place value of each digit in a six digit number
To represent 6 digit numbers in words or digits
To compare & order numbers beyond 100,000
To round numbers to the nearest 10, 100, 1000 , 10,000 and 100,000
MM To calculate 10,000 and 100,000 more/less than any six digit number

Week 2

Addition and Subtraction

Estimation should be happening throughout the week

To round off numbers to estimate the answer for addition and subtraction. E.g. 1296 +2508 rounded is approx. equal to 1300 +2500 = 3800
To add five digit numbers (regrouping in the 1000s, 100s, 10s and 1s)
To subtract five digit+ numbers (exchanging in the 1000s, 100s, 10s and 1s)
To solve one and two step word problems involving addition and subtraction
MM To add and subtract multiple numbers efficiently using re-ordering. – Extra materials required – E.g. 25 + 36 + 75 = 75 + 25 + 36

Week 3

Multiplication and Division

To multiply whole numbers & decimals numbers by 10, 100, 1000
To divide whole numbers and decimal numbers by 10, 100 and 1000
To multiply numbers up to four digits by a one digit number
To divide numbers up to four digits by a one digit number, interpreting the remainders
MM To add multiples of 100 and 1000 using knowledge of place value

Week 4

France residential and Harvest Festival rehearsal

Week 5

Multiplication and Division

To identify common factors of two numbers
To multiply numbers up to four digits by a two digit number
To solve word problems involving multiplication and division
To identify prime numbers and prime factors
MM To subtract multiples of 100 and 1000 using knowledge of place value

Week 6

Four Operations

To identify and explain common misconceptions in column addition and subtraction opportunity to practise both before correcting misconceptions)
To solve a range of multi-step problems involving addition and subtraction
To identify and explain common misconceptions in multiplication and division written methods
To solve a range of word problems involving multiplication and division
MM To add and subtract whole numbers mentally using partitioning

Week 7

Measurement Time

To solve problems involving converting units of time (Seconds, minutes, hours and days)
To solve problems involving converting units of time (days, hours, week and years) (Show trick for knowing which months are 31 days using knuckles)
To calculate time duration problems that pass through the hour
To solve a range of time measurement problems
MM To convert between analogue and digital clocks Year 4 objective in PA maths

Autumn - Second half term

Week 1

Fractions, Decimals and Percentages

To identify equivalent fractions (including tenths and hundredths)
To compare and order fractions (whose denominators are multiples of the same number)
To calculate fractions of numbers and quantities
MM – To calculate sixths by halving thirds, eighths by halving quarters and tenths by halving fifths and twentieths by halving tenths

Week 2

Fractions, Decimals and Percentages

To convert mixed numbers to improper fractions (and back)
To read and write decimal numbers as fractions
To convert fractions to percentages. Getting fractions into decimal fractions (e.g. over 10 or 100)
To identify percentage and decimal equivalents
MM – To add and subtract whole numbers when bridging through multiples of 10 e.g. 575 + 28 = 575 + 25 + 3

Week 3

Geometry – Properties of Shape

To sort regular and irregular polygons
To estimate and compare angles
To compare angles
To identify missing angles
MM – To identify angles at a point and one whole turn

Week 4

Measurement – Length and Mass

To convert between different units of metric measure
To use all four operations to solve problems involving length
To solve four operation problems involving mass
To measure and draw lines and shapes to the nearest mm
MM – To examine the quantity of objects (e.g. coins a jar, grapes in a bowl etc.) and make a reasonable estimate

Week 5

Measurement – Volume and Capacity

To solve problems involving converting units of measurement
To estimate and measure capacity
To estimate and measure volume
To use approximate equivalences between metric and imperial units
MM – To order units of measurement in ascending and descending order. E.g. 1100g 1kg, 0.95kg, 900g

Week 6

Measurement – Area and Perimeter

To measure and calculate the perimeter of composite rectilinear shapes
To calculate and compare the area of rectangles (cm² and m²)
To estimate the area of irregular shape
To solve missing measure questions when presented algebraically
MM – To calculate the difference by counting up through the next multiple of 10, 100 or 1000

Week 7

Statistics

To solve comparison problems using information in a line graph
To solve sum problems using information in a line graph
To solve difference problems using information in a line graph
To complete, read and interpret information in tables
MM – To identify what to add to a decimal with a units and tenths to make the next highest whole number e.g. 8.25 + ? = 9

Spring - First half term

Week 1

Number and Place Value

To identify the term-to-term rule
To interpret negative numbers
To count in steps of powers of 10 up to 1 000 000
To read Roman numerals
MM To add and subtract using compensating e.g. 138 + 69 = 138 +70 – 1

Week 2

Addition and Subtraction

To add and subtract decimal numbers up to two decimal places
To identify the missing value in addition and subtraction problems
To solve a range of addition and subtraction problems (put some problems in the context of measurement to recap last term)
To add and subtract negative numbers
MM To add using near doubles e.g. 160 + 170 = 160 doubled + 10 or 150 doubled + 30

Week 3

Multiplication and Division

To multiply four digits by one and two digit numbers
To divide four digit numbers by a one digit number including interpreting remainders
To multiply and divide whole numbers by 10, 100 and 1000
To use the distributive property strategy to divide ‘friendly’ numbers
MM To derive quickly related facts e.g. 150-80 = 70, 1500-800 = 700, 1.5-0.8 = 0.7

Week 4

Fractions, Decimals and Percentages

To add and subtract fractions with denominators that are multiples of the same number
To multiply fractions and mixed numbers by a whole number
To identify equivalent fractions, decimals and percentages
To solve problems with percentages
MM To identify a number that sits halfway between two numbers e.g. (2743 + 2831)/2

Week 5

Fractions, Decimals and Percentages

To add and subtract decimals numbers less than one e.g. 0.08 + 0.26
To multiply decimals less than one by 10, 100 and 1000 (e.g. 0.45 x 100 = 45)
To round decimals
To solve problems with decimals

MM To recognise that knowing a fact such as 136+319=455 makes it possible to find 455-318 and 455-137

Week 6

Measurement – Money and Time

To use multiplication and division to inter scale and calculate changing rates
To add, subtract, multiply and divide in the context of converting money (show conversion in preparation for problem solving next day) e.g. £15.54 = 1554p. 1554 x 3 =6216, which means 15.54 x 4 = £62.16
To solve problems involving money
To read and solve problems using timetables
MM To mentally add and subtract tenths, and one-digit whole numbers and tenths e.g. 1.4 + 0.7 = 1.4 + 0.6 + 0.1

Spring - Second half term

Week 1

Four Operations Conversion

To use number bonds to for factor and products to identify missing factors (using fractions and decimals) See Y5 PA maths for example of triangles
To solve conversion word problems involving addition and subtraction
To recognise and use square numbers
To identify the lowest common multiples between two numbers

Week 2

Geometry – Position and direction

To describe and plot points across one and two quadrants
To describe and plot points across all four quadrants
To translate the position of a shape on one quadrant
To reflect the position of a shape across a mirror line
MM To estimate, compare and identify angles e.g. obtuse, acute, reflect, right angle

Week 3

Geometry – Properties of shape

To identify and describe diagonal and parallel lines
To identify 3-D shapes from 2-D representations
To solve problems using nets
To identify missing angles and lengths
MM To use times table facts to solve multiplication problems mentally

Week 4

Fractions, Decimals and Percentages

To compare and order decimals and decimal numbers up to 3D
To compare and order fractions
To convert mixed numbers to improper fractions (and back)
To find fractions of amounts
MM To use knowledge of factors to solve division mentally

Week 5

Addition and Subtraction

To identify misconceptions in column method decimal addition and subtraction
To add and subtract fractions, including improper fractions and mixed numbers
To identify when is most effective to use mental or written strategies for addition and subtraction
To solve a range of one and two step problems
MM To calculate the rise and fall in temperature using both positive and negative integers

Week 6

Multiplication and Division

To identify all the factor pairs of a number, as well as common factor pairs
To identify composite (non-prime) numbers See Y5 PA maths
To establish whether a number up to 100 is a prime number
To identify when is most effective to use mental or written strategies for multiplication and division

Summer - First half term

Week 1

Number and Place Value

To identify the value of each digit in a decimal number up to 3DP
To calculate the term-to-term rule in linear sequences that involve fractions or decimals
To round whole and decimal numbers
To solve problems involving number
MM To recognise that 1 square metre = 10 000 cm² and that 1 square cm = 100mm²

Week 2

Measurement – Area, Perimeter and Volume

To compare the perimeter and area of rectangles
To solve the perimeter and area of composite rectilinear shapes
To solve volume problems based on 3-D shapes
To review my knowledge of area, perimeter and volume
MM To convert fluently between all units of time. Seconds, minutes, hours, days, weeks, months

Week 3

Statistics

To solve a variety of problems using information in a line graph
To complete, read and interpret information in tables
To solve problems involving time tables
MM – To multiply mentally using partitioning

Week 4

Measurement – Length, Mass, Capacity and Money

To convert between different units of metric measure
To use approximate equivalences between metric and imperial units
To solve a range of problems on mass, volume and length
To solve a range of problems involving time and money
MM To use knowledge of times tables to divide mentally

Week 5

Fractions, Decimals and Percentages

To interpret non-integer answers to division by expressing results in different ways
To convert decimal fractions into decimals
To count in decimals
To multiply fractions and mixed numbers by a whole number
MM – To identify a decimal fraction between 2 numbers (between 41 and 42)

Week 6

Geometry – Position and Direction

To reflect the position of a shape in all four quadrants
To translate the position of a shape in all four quadrants
To draw and plot data across four quadrants
To plot shapes across four quadrants Consider questions where coordinates are missing and pupils use dimensions of shape to complete or finding missing coordinates when they only know one or two coordinates of a shape
MM To double using known facts e.g. Double 79 = Double 70 + double 9

Summer - Second half term

Week 1

Fractions, Decimals and Percentages

To solve problems with fractions
To review my knowledge of FDP

Focus on what has been hard to teach, hard to learn in FDP across the year

Week 2

Number and Place Value

To solve problems involving roman numerals
To solve problems involving common factors, prime factors and LCM
To review my knowledge of number and place value
To review my knowledge of number and place value
MM To multiply by 5 and 50. Equivalent to multiply by 10 or 100 and then dividing by two

Week 3

Four Operations

To recognise cubed numbers
To apply distributive law
To solve division problems with decimals (use place value counters if needed)
To solve a range of four operation word problems. Still check for fluency of formal written methods
MM To multiply numbers with a 1 or 9 in the units column effectively e.g. 13 x 19 = (13 x 20) – 13. Or 22 x 21 = (22 x 20 ) + 22

Week 4

Geometry – Combined

To compare angles
To measure angles using a protractor
To draw angles using a protractor
To identify missing angles across a range of problems

Week 5

Geometry – Continued

To review my knowledge of angles
To compare, sort and describe regular and irregular polygons
To identify a range of 3-D shapes
To review my knowledge of reflection and translation
MM To identify the difference between concave, convex and complex polygons. As well as shapes that are not polygons

Focus on what has been hard to teach, hard to learn in geometry across the year

Week 6

Four Operations

To identify when is more appropriate to use mental addition and subtraction or a formal written method
To identify and correct misconceptions when solving decimal addition and subtraction
To identify when it is appropriate to use written or mental multiplication and division to solve a problem
To identify and correct misconceptions when solving multiplication and division
MM To count around a clock face in turns and degrees

Autumn 1

Number and place value
Addition and subtraction
Multiplication and division
Four operations
Time

Autumn 2

Fractions, decimals and percentages
Properties of shapes
Length and mass
Volume and capacity
Area and perimeter
Statistics

Spring 1

Number and place value
Addition and subtraction
Multiplication and division
Fractions, decimals and percentages
Money and time

Spring 2

Four operations
Position and direction
Properties of shapes
Fractions, decimals and percentages
Addition and subtraction
Multiplication and division

Summer 1

Number and place value
Area, perimeter and volume
Statistics
Length, mass, capacity and money
Fractions, decimals and percentages
Position and direction

Summer 2

Fractions, decimals and percentages
Number and place value
Four operations
Geometry combined
Four operations

Year 6

Autumn - First half term

Week 1

Number and Place Value

To recognise the place value of numbers up to 7 digits
To compare and order numbers up to 10,000,000
To round any whole number
To interpret negative numbers
MM To calculate a 1000, 10,000 and 100,000 more or less than any 7 digit number

Week 2

Addition and Subtraction

To use estimation to check answers to calculations
To solve any addition and subtraction with numbers up to 2 decimal places
To demonstrate the order of operations using brackets
To systematically solve multi-step problems
MM To order integers from smallest to largest crossing zero

Week 3

Assessment Week

Multiplication and Division

Arithmetic Paper
Reasoning Paper 1
Reasoning Paper 2
To multiply up to 4 digits by a two digit whole number
To divide numbers up to 4 digits by 1 digit then 2 digit whole number using short division

Week 4

Multiplication and Division

To interpret remainders as whole number remainders, fractions or rounding
To multiply and divide with decimals
To solve word problems involving multiplication and division
MM To identify common factors and prime numbers
MM To use re-ordering to effectively solve and addition and subtraction problems

Week 5

Fractions, Decimals and Percentages

To compare and order fractions
To add and subtract fractions with different denominators and mixed numbers
To multiply and divide fractions with different denominators and mixed numbersTo calculate fractions of amounts
MM To add and subtract four digit+ multiples of 10, 100 and 1000 using partitioning

Week 6

Fractions, Decimals and Percentages

To use common factors to simply fractions
To find percentage of amounts
To calculate decimal and fraction equivalents
To multiply and divide by powers of 10
MM To add and subtract decimal fractions up to 2DP using partitioning. E.g. 2.77 – 0.45 = 2.77 – 0.4 – 0.05

Week 7

Measurement – Area and Perimeter

To prove that shapes with the same area can have different perimeters
To calculate the area of triangles
To calculate the area of parallelograms
To calculate and estimate the volume of cubes and cuboids
MM To add and subtract using compensation

Autumn - Second half term

Week 1

Number and Place Value

To identify decimals and other intervals on a number line
To add and subtract negative numbers
To round any decimal number up to 3DP
MM To identify near doubles: 421 + 387 = 808

Week 2

Geometry – Shape and angles

To compare and classify geometric shapes (2D)
To compare and classify geometric shapes (3D)
To identify missing angles in triangles and quadrilaterals
To visualise a 3-D shape from its net
MM To identify parallel, perpendicular and diagonal lines

Week 3

Measurement – Length, Mass and Volume

To calculate, estimate and compare volume of cubes, cuboids and compound shapes
To convert measures using decimal notation to 3DP
To solve problems involving conversion and measure
To convert between miles and KM and other scaled rates
MM To calculate the difference by counting up through the next multiple of 10, 100 or 1000 e.g. 7000 – 3675 is 5 + 20 +300 = 3325

Week 4

Measurement – Money, Time and Temperature

To solve problems involving converting units of time
To solve time duration problems using four operations
To solve problems involving money using the four
To add and subtract positive negative integers in the context of temperature
MM To identify what to add to a decimal with units, 10ths and 100ths to make the next highest whole number or 10th

Week 5

Statistics

To interpret and solve problems using line graphs
To interpret and solve problems using pie charts
To connect angles and percentages to pie charts
To calculate and interpret the mean as the average
MM To calculate alternative averages mentally

Week 6

Fractions, Decimals and Percentages

To multiply and divide with decimals
To identify percentage equivalents to decimal and fractions
To solve a range of decimal, percentage and fraction word problems
To solve fraction and percentage questions related to pie charts
MM To multiply and divide decimal numbers by 10, 100 and 1000

Week 7

Geometry – Position and Direction

To describe positions on all four quadrants
To draw and plot shapes across all four quadrants
To translate shapes across the coordinate plane
To reflect shapes across the coordinate plane
MM To multiply and divide whole numbers 10, 100 and 1000

Spring - First half term

Week 1

Four Operations

To demonstrate the order of operations using brackets
To use communitive, associate and distributive laws of multiplication
To use the distributive property strategy
To solve a range of four operation word problems
MM To use times table facts to multiply mentally

Week 2

Assessment Week and Four Operations

Arithmetic
Reasoning 1
Reasoning 2
To identify common factors and multiples
MM To use times table facts to divide mentally

Week 3

Algebra

To use simple formula to generate, express and describe equivalent expressions
To use simple formula to generate, express and describe equivalent expressions
To use simple formula to generate, express and describe mathematical formula
To use simple formula to generate, express and linear number sequence
MM To solve mentally one fact 4.97-1.58 and then state three other related facts

Week 4

Ratio

To use scale factors to solve problems involving shape
To use knowledge of fractions and multiples to solve problems involved in unequal quantities
To solve problems involving missing ratio
To solve ratio problems that involve unequal sharing
MM To use knowledge of number facts to prove exact multiples e.g. multiples of 100, 25, 10, 5. and 2

Week 5

Four Operations

To solve a range of problems that involve FDP
To solve a range of algebraic problems systematically
To solve a range of multi-step word problem four operations
To solve a range of ratio problems
MM To use knowledge of number facts to prove exact multiples e.g. multiples of 3, 4, 6, 8 and 9

Week 6

Fractions, Decimals and Percentages

To solve fraction of amounts problems when the total is unknown
To compare and order fractions, decimals and percentages
To compare percentages
To solve a range of FDP word problems
MM To use related facts to double and halve e.g. Double 277 = 400 +140 +14

Spring - Second half term

Week 1

Number and Place Value

To round any number any whole number or decimal number
To interpret the remainder as a decimal, fraction or round
To identify the term to term rule
MM To identify multiples of numbers using doubling and halving e.g.14 x 5 = 14 x 10 divided by 2

Week 2

Geometry – Shape and Angles

To demonstrate how to find the diameter and radius of a circle
To identify and find missing angles
To draw 2-D shapes given dimensions and angles
To visualise patterns drawn on a 3-D shape and where it will occur
MM To create the biggest/ smallest integer possible with a range of digits (i.e. 8 3 0 7 6 0 2)

Week 3

Algebra

To identify missing numbers using algebra
To identify two missing numbers using algebra
To use simple formula to generate, express and describe mathematical formula
To identify all the possibilities of combinations of two variables
MM To calculate the squares of all numbers from 1×1 to 12×12 and look at other powers

Week 4

Statistics

To solve problems using line graphs
To solve problems using pie charts
To calculate and interpret the mean as the average
To solve a range of statistical problems
MM To identify fractions that are bigger and smaller than others e.g. 9/14 is in between 4/7 and 5/7

Week 5

Ratio

To solve ratio problems involving scaling
To compare percentages
To solve missing ratio and unequal sharing problems
To solve a range of ratio problems
MM To identify fractions that are bigger and smaller than decimal fractions e.g. 505/100 is in between 0.50 and 0.51

Week 6

Four Operations

To solve a range of measurement conversion word problems
To solve a range of shape and angle problems
To solve a range of position and direction problems
To identify common factors, multiples and prime numbers

Summer - First half term

Week 1

Outcome

To solve four operation word problems
To demonstrate the order of operations using brackets
To solve four operation fraction problems
To calculate fraction and percentage of amounts
MM To explain the percentage equivalent to common fractions and vice versa

Week 2

Outcome

To solve a range of area, perimeter and volume problems
To solve a range of position and direction problems
To solve a range of problems involving coordinates
To solve a range of problems on 2-D shapes
MM To explain the equivalent of one thousandth/100th/10th/quarter and half of 1km, 1kg, 1 litre in m, g and ml respectively

Week 3

Outcome

To solve fraction, decimal and percentage word problems
To solve a range of 3D shape problems
To solve a range of ratio problems
To round any whole or decimal (3DP) number

Week 4

Outcome

To solve a range of algebraic problems
To solve a range of missing angle problems
To solve a range of conversion word problems
To solve a range of statistics problems
To explain 1/10 is divide by 10 and 10%, finding 25%, 50% etc.

Week 5

SATs week

Week 6

Outcome

To solve a mathematical investigation
To discover different types of numbers, including perfect numbers
To solve number puzzles involving positive and negative numbers
To rapidly recall of all multiplication tables up to 12 x 12 – Maths challenge
To solve a mathematical investigation

Summer - Second half term

Week 1

Statistics

To read and interpret scales on a map
To draw graphs with two relating variables
To create a school population pyramid
To solve a mathematical investigation

Week 2

Geometry

To draw triangles accurately
To draw a range of 2-D shapes
To draw a range of circles
To construct arcs and sectors
To solve a mathematical investigation

Week 3

Rhos y Gwaliau

Week 4

Algebra

To construct a graph from algebraic expressions
To solve and simplify algebraic formula
To interpret the square root
To use unconventional methods to calculate the height of a building

Week 5

Fractions, Decimals and Percentages

To construct a pie chart with multiple sectors
To interpret binary numbers
To solve problems that involve percentage and fractional increase and decreases
To solve a mathematical investigation
To solve a mathematical investigation

Week 6

Number and Place Value

To solve problems involving both positive and negative numbers
To solve a range of fraction, decimal and percentage problems
To solve a range of problems involving number
To solve a mathematical investigation
To solve a mathematical investigation

Autumn 1

Number and place value
Addition and subtraction
Multiplication and division
Fractions, decimals and percentages
Area and perimeter

Autumn 2

Number and place value
Shape and angles
Length, Mass and Volume
Money, time and temperature
Statistics
Fractions, decimals and percentages
Position and direction

Spring 1

Four operations
Algebra
Ratio
Four operations
Fractions, decimals and percentages

Spring 2

Number and place value
Shape and angles
Algebra
Statistics
Ratio
Four operations

Summer 1

Recap previously taught concepts, considering hard to teach, hard to learn areas
Fractions, decimals and percentages
2D and 3D shapes
Problem solving
Statistics
Algebra, angles, length, mass and capacity

Summer 2

Statistics
Geometry
Algebra
Fractions, decimals and percentages
Number and place value