Maths Curriculum

Illustration of cone, cube, scale and ruler

Maths Programme

The maths curriculum provides a systematic and structured approach to mathematics teaching across the year groups. This programme of study, since its introduction, has been intelligently adapted by the school. A maths yearly overview, which outlines learning objectives from Year 3 to Year 6 is used to guide teachers on what should be taught each week. Teachers use this to plan daily lessons, with planned differentiated activities. The maths overview provides a clear structure for the teaching of maths and ensures that the knowledge and skills are consistently reviewed and built upon each time they are taught. The overview was designed using a combination of the PA maths scheme, CGP text books and cross-referenced against all outcomes in the national curriculum. Each year the overview is reviewed by the maths subject leader, using feedback from staff and SLT, before its implementation the following year.

The Concrete, Pictorial, Abstract approach

The concrete, pictorial and abstract approach runs through the maths programme. Resources, such as dienes and place value counters are used to provide those pupils that need extra support to facilitate a solid understanding and meaning. When pupils are secure using a concrete approach they can transition to a pictorial representation, and finally the abstract recording of the number sentence or formal written method. Most pupils at Churchfields Junior School do not require a concrete or pictorial representation and therefore the majority of teaching will focus on the abstract approach. However, all staff are aware of the needs of every pupil and ensure where necessary concrete and pictorial representations are modelled for those that need them.

Year 3

Autumn - First half term

Week 1

Addition and Subtraction

To use estimation to check the accuracy of addition and subtraction
To use the inverse to check calculation
To develop and recognise patterns in addition
To develop and recognise patterns in subtraction
To measure and calculate perimeter of 2D shapes

Times Tables

Vocabulary

Addition
Subtraction
Place value
Round
Estimate
Inverse
Calculation
Check
Ones
Tens
Hundreds
Pattern
Digit
Multiple
Mental maths
Place value

Homework

Written method addition 2

Week 2

Addition and Subtraction

To add three digit numbers regrouping across all place value columns
To subtract three digit numbers exchanging across all place value columns
To use addition and subtraction to solve one step word problems
To use addition and subtraction to solve one and two step word problems
Mental Maths – To subtract two-digit multiple of tens from three digit numbers

Times Tables

Vocabulary

Regroup
Column
Hundreds
Tens
Ones
Exchange
Regroup
Subtraction
Digit
Multiple
Column method
Mental maths

Homework

Subtraction 2

Week 3

Multiplication/Division

To carry out short multiplication (expanded method)
To carry out short multiplication with regrouping (moving away from expanded)
To divide a two digit by a one-digit number with remainders and exchanging in the ones column
To divide two digits by a one-digit number with remainders and exchanging in multiple place value columns.
Mental Maths – To add multiples of one hundred from three digit numbers

Times Tables

Vocabulary

Multiplication
Expanded method
Multiply
Column
Place value
Regroup
Division
One-digit
Two-digit
Remainder
Multiples
Addition
Column method
Mental maths

Homework

Multiplication 2

Week 4

Measurement
Context Four Operations

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
Mental maths – to count in multiples of 50

Times Tables

Vocabulary

Equivalent
mm/cm/m/km
Conversion
Units of length
Word problem
Addition
Subtraction
Mass
g
g/kg
Division
Multiplication
Scale
l/ml
Scale
Multiples
Take
Away
Subtract
Column method
Mental maths

Homework

Division 1

Week 5

Fraction

To compare fractions with different denominators
To order fractions with different denominators
To add like fractions
To subtract like fractions
Mental Maths – To use partitioning to add three and two digit numbers

Times Tables

Vocabulary

Numerator
Denominator
Compare
Bigger than
Smaller than
Order
Fraction
Like
Addition
Partition
Place value
Addition
Column method
Value

Homework

Adding and subtracting fractions

Week 6

Geometry – Shapes

To calculate fractions of a quantity
To construct 3-D shapes using modelling materials (Cubes)
To recognise 3-D shapes in different orientations
To recognise angles as a description of a turn

Times Tables

Vocabulary

Numerator
Denominator
Quantity
Equivalent
Fraction
Unit
3D
Properties
Face
Vertex
Edge
Orientation
Properties
1 right angle = 90˚
Rotation
2 right angles = 180˚
Right-angle
A full turn = 360˚

Homework

3D shapes

Autumn - Second half term

Week 1

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

Times Tables

Vocabulary

Data
Information
Tally
Frequency
Chart
Symbols
Pictogram
Key
Horizontal
Vertical
Table
Group
Sort
Diagram
Multiple
Total
Number bonds
Calculation
Mental maths

Homework

Interpreting pictograms

Week 2

Measurement – Length and Mass

To understand and convert between units of length
To measure and compare lengths in m, cm and mm (using rulers or tapes)
To convert between units of mass – kg and grams
To measure and compare mass in kg and g
To divide 10, 100, 1000 by 2, 4, 5, 10

Times Tables

Vocabulary

Measure
Length
Ruler
1 m = 100 cm
1 cm = 10 mm
Measure
Unit
Cm
Mm
M
Measure
Mass
Scales
1 kg = 1000 g
Kg = 500 g
Measure
Mass
1 kg = 1000 g
100 g ÷ 10 = 10 g
Kg = 500 g
Multiple
Tens
Hundreds
Divide
Parts

Homework

Sheet 20 – Measure problems 1

Week 3

Measurement – Volume Capacity

To use my knowledge of measurement to solve word problems
To measure and compare volume and capacity
To convert between units of volume and capacity
To solve capacity problems using both addition and subtraction
Mental Maths – To subtract 3 digit numbers and ones using number bond facts e.g. 345 – 7 = 345 – 5 – 2. 518 – 9 = 518 – 8 – 1

Times Tables

Vocabulary

1 cm = 10 mm
1 m = 100 cm
1 kg = 1000 g
Underline
Operation
Volume
Capacity
Ml
L
1L = 1000 ml
Convert
Measure
Capacity
1000 ml = 1 L
Litres
1 L = 1000 ml
Operation
1 kg = 1000 g
1 m
1 m = 100 cm
1 cm = 10 mm
Ones
Number bonds
Place value
Difference
Subtract

Homework

Sheet 47 – Measuring weight and capacity

Week 4

Number and Place Value

To compare three digit numbers
To compare and order three digit numbers
To identify, draw and estimate amounts on a number line
To round numbers to the nearest 10 or 100 using a number line
Mental Maths – To add and subtract 3 digit numbers and ones using number bond facts

Times Tables

Vocabulary

Order
Smallest
Largest
Place value
Digit
Scale
Increment
Steps
Interval
Order
Up
Down
Ones
Tens
Number bonds
Add
Subtract

Week 5

Measurement – Time

To tell and write the time from analogue clocks (any minutes past/ minutes to)
To tell and write the time from digital clocks (any minutes past/ minutes to)
To match and convert between digital and analogue clocks
Recap – To match and convert between digital and analogue clocks
Mental Maths – To identify the next number in a sequence

Times Tables

Vocabulary

Minutes past
Minutes to
Analogue
O’clock
Minute
Quarter
Digital
Hour
Analogue
Half past
Quarter past
Quarter to
Time
Addition
Subtraction
Sequence
Less than
More than

Homework

Sheet 14 – Reading the time

Week 6

Division

To use number bonds to identify factors, multiples and products, using 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
To divide a two digit by a one digit number with some remainders
Mental Maths – To count in multiples of 100

Times Tables

Vocabulary

Factor
Multiple
Product
Arrays
Divide
Place value
Ten times smaller
Dividend
Divisor
Quotient
Number line
Jumps
Backwards
Forwards

Homework

Sheet 33 – Division 1

Week 7

Recap

To add and subtract using column method (regrouping and exchanging)
To multiply 2 digit by 1 digit using column method
To recap my knowledge of telling and writing the time
Mental Maths – To add pairs of multiples of 100 that make 1000 as well as cross 1000

Times Tables

Vocabulary

Regroup
Column
Hundreds
Tens
Ones
Place value
Multiply column
O’clock
Minute
Quarter
Digital
Hour
Multiple
Total
Number bonds
Calculation
Mental maths

Spring - First half term

Week 1

Addition and Subtraction

To use estimation to check the accuracy of addition and subtraction
To use the inverse to check calculation
To develop and recognise patterns in addition
To develop and recognise patterns in subtraction
To measure and calculate perimeter of 2D shapes

Times Tables

Vocabulary

Addition
Subtraction
Place value
Round
Estimate
Inverse
Calculation
Check
Ones
Tens
Hundreds
Pattern
Digit
Multiple
Mental maths

Week 2

Addition and Subtraction

To add three digit numbers regrouping across all place value columns
To subtract three digit numbers exchanging across all place value columns
To use addition and subtraction to solve one step word problems
To use addition and subtraction to solve one and two step word problems
See examples of taking away one and comparing two sets questions in Y3 PA maths
Mental maths – To subtract two-digit multiple of tens from three digit numbers

Times Tables

Vocabulary

Regroup
Column
Hundreds
Tens
Ones
Exchange
Regroup
Subtraction
Digit
Multiple
Column method
Mental maths

Homework

Written method subtraction 2

Week 3

Multiplication and Division

To carry out short multiplication (expanded method)
To carry out short multiplication with regrouping (moving away from expanded)
To divide a two digit by a one-digit number with remainders and exchanging in the ones column
To divide two digits by a one-digit number with remainders and exchanging in multiple place value columns.
Mental Maths – To add multiples of one hundred from three digit numbers

Times Tables

Vocabulary

Multiplication
Expanded method
Multiply
Column
Place value
Regroup
Division
One-digit
Two-digit
Remainder
Multiples
Addition
Column method
Mental maths

Homework

Multiplication 2

Week 4

Measurement
Context Four Operations

To solve measurement problems using both addition and subtraction in the context of 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 volume and capacity
See Y3 PA maths for examples
To use multiplication and division to scale by integers – context length
Mental Maths – To subtract multiples of one hundred from three digit numbers

Times Tables

Vocabulary

Equivalent
mm/cm/m/km
Conversion
Units of length
Word problem
Addition
Subtraction
Mass
g
g/kg
Word problem
Division
Multiplication
Scale
l/ml
Equivalent
Conversion
Division
Multiplication
Scale
mm/cm/m/km
Equivalent
Conversion
Multiples
Take
Away
Subtract
Column method
Mental maths

Homework

Division 1

Week 5

Fractions

To compare fractions with different denominators
To order fractions with different denominators
To add like fractions
To subtract like fractions
Mental Maths – To use partitioning to add three and two digit numbers

Times Tables

Vocabulary

Numerator
Denominator
Compare
Bigger than
Smaller than
Order
Bigger than
Smaller than
Fraction
Like
Addition
Subtraction
Partition
Place value
Addition
Column method
Value

Homework

Adding and subtracting fractions

Week 6

Geometry – Shapes

To calculate fractions of a quantity
To construct 3D shapes using modelling materials (Cubes)
To recognise 3D shapes in different orientations
To recognise angles as a description of a turn

Times Tables

Vocabulary

Numerator
Denominator
Quantity
Equivalent
Fraction
Unit
3D
Properties
Face
Vertex
Edge
Orientation
Properties
1 right angle = 90˚
Rotation
2 right angles = 180˚
Right-angle
A full turn = 360˚

Homework

3D shapes

Spring - Second half term

Week 1

Fractions

To identify non-unit fractions of objects, shapes and length
To recognise equivalent fractions
To calculate fractions of a quantity
Maths assessment

Times Tables

Vocabulary

numerator, denominator, fraction of, parts, equivalent, equal, fraction bar, fraction of, divide, multiply

Week 2

Geometry – Shape

To solve one and two step problems involving fractions
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

Times Tables

Vocabulary

fraction of, numerator, denominator, total, bar, equal, total, half of, quarter, fifth, third, 3-D, rows, cube, cuboid, tetrahedron, square based pyramid, prism, sphere, circular, vertices, edges, faces, triangular, surface, octagonal, hemisphere, pentagonal, heptagonal, octahedron, pentagons, clockwise, right angle, half turn, quarter turn, three-quarter turn, anti-clockwise

Week 3

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
Mental maths To use partitioning to subtract three and two digit numbers e.g. 365 – 42 is 60 – 40 and 5 – 2 giving an answer of 323

Times Tables

Vocabulary

frequency, many more, many fewer, twice as many, many left, total, table, bar chart, altogether, most, least, half as many, pictogram, key, row, column, organise, sort, jotting, subtract, minus, partition, place value

Week 4

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
Mental maths 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

Times Tables

Vocabulary

pence, pounds, twenty, ten, five, fifty, notes, coins, smallest, largest, most, least, total, add, subtract, change, left over, multiple, ten, hundred

Week 5

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 time in seconds, minutes and hours
To calculate and compare duration of events
Mental maths To use compensation when adding and subtracting E.g. 53 + 11 = 53 + 10 + 1 or 70 – 9 = 70 – 10 + 1

Times Tables

Vocabulary

minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, count forwards, count backwards, hundreds, midnight, leap year, earlier, spring, autumn, summer, winter

Week 6

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
Mental mathsTo identify doubles of multiples of 5. e.g. 30 + 30 or 85 + 85

Times Tables

Vocabulary

count up, count down, ten, multiple, steps of, less than, more than, hundred, even, odd, digits, thousands, shortest, difference, place value, ones, least, most, double, multiply by 2, add twice

Summer - First half term

Week 1

Four operations – context measurement

To measure and calculate perimeter of 2-D shapes
To use multiplication and division to scale by integers – context mass
To convert between different units of measure
To identify fractions of measures

Times Tables

Vocabulary

perimeter, centimetre, addition, 2-D, millimetre, scale, kilogram, gram, mass fewer, as much, thousand, hundred, ten, one, litre, millilitre, centimetre, metre, millimetre, quarter, half, three-quarter, fraction of, divide

Week 2

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
Mental maths To add using near doubles e.g. 19 + 20 = 20 + 20 – 1

Times Tables

Vocabulary

approximately, closest to, round up, round down, nearest, add, subtract, calculation, , plus, partition, place value, thousands, hundreds, tens, ones, regroup, column, more than, exchange, double

Week 3

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

Times Tables

Vocabulary

product, hundreds, partition, multiply, times, lots of, multiples, column, multiples, annotate, remainder, exchange, digit, bus-stop, divisor, equal, multiply, round up, round down

Week 4

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
Mental maths To multiply a number by 10 or 100
Mental maths To divide a number by 10 or 100

Times Tables

Vocabulary

distributive, partition, multiply, times, lots of, multiples, column, error, multiples, annotate, remainder, exchange, digit, bus-stop, divisor, equal, multiply, round up, round down, justify, prove, ten times, hundred times, larger, smaller, scale up, scale down

Week 5

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
Mental maths To subtract numbers that are close together using counting on e.g. 500 – 488 = 488 + 12

Times Tables

Vocabulary

forwards, backwards, half, quarters, third, fifths, order, sequence, between, whole, equivalent, equal part, divided into, larger, smaller, minus, take away

Summer - Second half term

Week 1

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
Maths assessment

Times Tables

Vocabulary

horizontal, vertical, parallel, perpendicular, sides, right angle, acute angle, obtuse angle, degrees, smaller, greater, straight line, quadrilateral, circle, triangle, octagon, pentagon, hexagon, semi-circle, equal, pairs of, more, two dimensional, mirror, symmetrical, equal, regular, irregular

Week 2

Geometry – Position and Direction

To measure and calculate perimeter of 2-D shapes
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

Times Tables

Vocabulary

perimeter, centimetre, addition, 2-D, above, below, origin, coordinate, x axis, y axis, horizontal, vertical, north, south, east, west, up, down, left , right, line of symmetry, mirror line, reflection

Week 3

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 use times table facts to divide mentally

Times Tables

Vocabulary

pence, pounds, twenty, ten, five, fifty, notes, coins, smallest, largest, most, least, total, add, subtract, change, left over, multiple, ten, hundred, times table, recall, apply, fact, ten times larger, ten times smaller

Week 4

Measurement – Length, Mass and Volume

To measure and compare lengths in m, cm and mm (using rulers or tapes)
To compare and measure mass in kg and g
To measure and compare volume and capacity
To convert between units of length, mass and volume
MM To double and halve two and three digit numbers

Times Tables

Vocabulary

interval, millimetre (mm), centimetres (cm), metres (m), largest, smallest, < less than, > greater than, grams (g), kilograms (kg), mass, heaviest, lightest, millilitres (ml), litres (L), multiply, divide, 10, 100, 1000, double, multiply by 2, halve, divide by 2

Week 5

Measurement – Length, Mass and Volume

To calculate fractions of measures
To solve addition and subtraction problems in the context of LMV
To use multiplication and division to scale by integers – context LMV
To solve multi-step problems using four operations

Times Tables

Vocabulary

quarter, half, three quarters, tenths, fifths, millilitres, litres, metres, centimetres, millimetres, grams, kilograms, total, difference, more than, less than, lots of, shared equally, stops of, annotate

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 divide by 4 and 8 using halving

Times Tables

Vocabulary

minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, count forwards, count backwards, halving twice, halving three times

Week 7

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 by 4 and 8 using doubling

Times Tables

Vocabulary

frequency, many more, many fewer, twice as many, many left, total, table, bar chart, altogether, most, least, half as many, pictogram, key, row, column, organise, sort, doubling twice, doubling three times

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

Times Tables

Vocabulary

digits
ones
tens
hundreds
thousands
larger than
smaller than
tens
hundreds
thousands
less
more
forwards
backwards
difference
smallest
largest
more than
less than
equal to

Homework

Place Value, questions 1-10 only

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
Mental maths – to add and subtract multiples of ten mentally

Times Tables

Vocabulary

Total
Column
Digit
Aligned
Altogether
Thousands
Hundreds
Tens
Ones
Place value
Regroup
Inverse
Exchange
Multiple
Add
Subtract

Homework

Written method for addition, questions 1-10
Written method for subtraction, questions 1-10

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 columns E.g. 5000 – 374
To add decimals up to two decimal places
To subtract decimals up to two decimal places
Mental maths – to add and subtract using partitioning

Times Tables

Vocabulary

Regroup
Total
Add
Aligned
Column
Subtract
Less than
Difference
Regroup
Tenths
Hundredths
Decimal point
Exchange
Partitioning
Place value

Homework

Written method for addition
Written method for subtraction

Week 4

Multiplication

To multiply by 10, 100 and 1000 (changes to place value)
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
Mental maths – to recognise what happens when multiplying and dividing by 1 and 0

Times Tables

Vocabulary

X to the left
10 = move once
100 = move twice
1000 = move three times
Multiply
Regroup
Place value
Column
Times
Total
Factor
Pair
Whole number
Recognise
Divide
Recognise
Zero
Mental

Homework

Written method for multiplication/division
Multiplying multiples of 10/100

Week 5

Division

To use related facts to identify factors 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
Mental maths – to use times table facts to multiply and divide mentally

Times Tables

Vocabulary

Factor
Product
Dividend
Divisor
Quotient
÷ = move right
10 = move once
100 = move twice
1000 = move three times
Divide
Inverse
Place value
Remainder
Regroup
Times tables
Multiply
Facts
Mental
Dividing

Homework

Multiplication facts for 6
Written method for multiplication/division

Week 6

Fractions and Decimals

To use factors and multiples to recognise equivalent fractions
To simplify fractions
To compare fractions
To calculate fractions of amounts
Mental maths – to count forwards or backwards in steps of fractions

Times Tables

Vocabulary

Factor
Multiple
Numerator
Denominator
Equivalent
Fraction
Simplify
Divide/multiply
Larger
Smaller
÷ by the denominator
x by the numerator
Count
Forwards
Backwards
Steps
Number line

Homework

Equivalent
Fractions
Fractions of amounts

Week 7

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 2 decimal places
Mental maths – to identify how many days are in each month of the year

Times Tables

Vocabulary

Addition
Denominator
Numerator
Mixed
Improper
Subtraction
Addition
Decimal
Place value
Tenths
Place holder
Ones
Round
Decimal point
Value
Days
Weeks
Months
Year
Leap year

Homework

Decimal fractions

Week 8

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

Times Tables

Vocabulary

Half past
Quarter past/to
O’clock
Short hand = hour
Long hand = minute
Analogue
Hours
Convert
Minutes
Digital
60 seconds = 1 minute
60 minutes = 1 hour
A quarter hour = 15 minutes
1 year = 12 months
1 week = 7 days
365 days = 1 year
366 days = leap year

Homework

Reading clocks
12-hour and 24-hour clocks

Autumn - Second half term

Week 1

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 2D shapes presented in different orientations

Times Tables

Vocabulary

Regular
Irregular
Polygon
Angle
Side
Classify
Equilateral
Right angle
Isosceles
Scalene
Rhombus
Parallelogram
Rectangle
Kite
Trapezium
Symmetry
Equal
Orientation
Reflection
Mirror

Homework

Sheet 30 – Triangles and quadrilaterals

Week 2

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 interpret and present data on a time graph
Mental Maths – To subtract mentally using counting on

Times Tables

Vocabulary

Data
Statistics
Interpret
Information
Pictogram
Statistics
X-axis
Y-axis
Data
Recorded
Difference
Pictogram
Key
Total
Value
X-axis
Y-axis
Plot
Line
Title
Subtract
Count on
Strategy
Partition
Place value

Homework

Sheet 35 – Using tables

Week 3

Measurement Length and Mass

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
Mental Maths – To multiply and divide by 10, 100 and 1000

Times Tables

Vocabulary

Estimate
Ruler = 150 mm / 15 cm
1 cm = 10 mm 100 cm = 1 m
M > cm = x 100 cm > mm = x 10 m > km = x 1000
Mm > cm = ÷ 10
Grams
Kilograms
G > kg = ÷ 1000
Kg > g = x 1000
Kg = 1000 g
1 kg = 1000 g
0.1 kg = 100 g
0.01 kg = 10 g
0.001 kg = 1 g
Mass
÷ to the right
X to the left
10 = move once
100 = move twice
1000 = move three times

Homework

Sheet 14 – Metric units 1

Week 4

Measurement Volume and Capacity

To solve four operating problems involving 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 involving volume and capacity
Mental Maths – To use time table facts to multiply and divide mentally

Times Tables

Vocabulary

1L=1000 ml
1km=1000 m
1kg=1000 g
1m=1000 cm
Operation
1/2L = 500 ml
Volume
Capacity
Millilitres
L>ml = x1000
Ml>L = ÷1000
Place holder
Volume
Capacity
1 L = 1000 ml
L > ml = x 1000
Ml > L = ÷ 1000
Multiplying
Dividing
Facts
Inverse
Strategy

Homework

Sheet 29 – Metric units 2

Week 5

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 between the perimeter and area
Mental Maths – To estimate a range of measures

Times Tables

Vocabulary

Length
Width
Perimeter = L+W x 2
Area
Squared
Total
Half
Area = L x W
Units
Measure
Addition
Multiply
Kilograms
Grams
Mass
Weight
Units

Homework

Area and Perimeter 1

Week 6

Four Operations

To add and subtract four digit numbers where there is re-grouping in multiple place value columns
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
Mental Maths – To calculate mentally one fact: (91-25=□) and then state the other three related facts

Times Tables

Vocabulary

Column
Place value
Decimal point
Convert
Unit of measure
Grid
Regroup
OPTA
Divide
Factor
Regroup
Inverse
Facts
Addition
Subtraction
Operation
Inverse
Counters

Homework

Sheet 48 – Measures

Week 7

Number and Place Value

To round any number to the nearest 10, 100 and 1000
To identify and count in negative numbers

Times Tables

Vocabulary

Place value
Round down 1-4
Round up 5-9
Minus
Zero
Subtract
Add
Difference

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

Times Tables

Vocabulary

largest, smallest, greater than >, less than <, larger than, smaller than, digit, ones, tens, hundreds, thousands, shortest, nearest, ten, whole, round up, round down, hundred, thousand, centimetre, metre, millimetre, litre, millilitre, kilogram, gram, how much, how long, negative, minus count back, steps of

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 identify pairs of multiples of 50 that total 1000

Times Tables

Vocabulary

inverse, opposite, addition, subtraction, check, estimate, round up, round down, annotate, total, difference, more, less, left over, multiples, fifty, thousands, tens, hundreds, pairs, equal

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 count in multiples of 25 and 1000

Times Tables

Vocabulary

column, multiply, lots of, regroup, ones, tens, tenths, larger, smaller, divide, bus stop, shared equally, annotate, hundreds, factors, multiples, thousands, steps of, count forward, count backwards

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 add or subtract three or more numbers mentally using re-ordering e.g. 5 + 8 + 15 + 32 = (32+8) + (5+15)

Times Tables

Vocabulary

round up, round down, closest to, nearest to, estimate, whole, tens, ones, tenths, hundredths, equal parts, equivalent, minus, equal to, quarters, half, plus, steps of, heaviest, lightest, difference, total, leftover, number bonds, add, subtract, numerator, denominator

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 multiply together 3 numbers using times table facts

Times Tables

Vocabulary

improper fraction, add, plus, subtract, minus, like fraction, tenths, hundredths, eighths, fifths, twelfths, sixths, numerator, denominator, divide by, multiply by, interval, decimal, equivalent, multiples, multiply, times, column, multiplication facts

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

Times Tables

Vocabulary

x axis, y axis, coordinates, origin, locate, join, plot, parallel, perpendicular, right, down, up, left, position, translate, corner, sides, polygon, factors, multiples, hundreds, multiply

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)
Maths Assessment

Times Tables

Vocabulary

acute, obtuse, right angle, ninety degrees, largest, smallest, 180 degrees, straight line, vertices, vertex, edge, face, cube, cuboid, sphere, cylinder, tetrahedron, cone, hemisphere

Week 2

Measurement – Money

To compare and classify geometric shapes based on their properties (faces, vertices and edges)
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

Times Tables

Vocabulary

vertices, vertex, edge, face, prism, pyramid, square based, pentagonal, hexagonal, octagonal, octahedron, pence, pounds, one, two, five, ten, twenty, fifty, estimate, round, subtract, minus, difference, leftover, between, lots of, multiply, divide, annotate, total, change

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 recognise the value of each digit from 10,000s to 1/100ths

Times Tables

Vocabulary

minutes, hours, seconds, longer, shorter, difference, total, convert, days, months, years, weeks, number line, how long, start, finish, later, earlier, ten thousand, thousands, hundreds, tens, ones, tenths, hundredths, place value, decimal point

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

Times Tables

Vocabulary

data, most, least, popular, how many, bar, column, tallest, x axis, y axis, interval, fewest, total, represents, half, quarter, continuous, fewer, further, difference, right angle, 90 degrees, half turn, 180 degrees, ¾ turn, 270 degrees, full turn, 360 degrees

Week 5

Measurement – Length/Mass/Capacity

To multiply and divide by 10, 100 and 1000, particularly 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 convert pounds into pence and vice versa

Times Tables

Vocabulary

product, larger, smaller, ten, hundred, thousand, multiply, divide, millimetres, centimetres, metres, kilometres, kilograms, grams, litres, millilitres, convert, scale up, scale down, length, mass, capacity, annotate, total, difference, more than, less than, lots of, equal parts, shared, pounds, pence

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
MM To use knowledge of number 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?

Times Tables

Vocabulary

distance, centimetres, metres, difference, width, length, multiply, sides, square centimetres, area, total, larger, smaller, rows, columns, estimate, grams, kilograms, centimetres, millimetres, metres, leap year, days, weeks, months

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

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

numeral, after, before, one, five, ten, fifty, hundred, negative, count forward, count back, minus, difference, ones, tens, hundreds, tenths, hundredths, decimal point, nearest, leftover, most, least

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
MM – To add using near doubles e.g. 38 + 35 = Double 35 + 3. 1.5 + 1.6 = Double 1.5 + 0.1 or Double 1.6 – 0.1

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

add, subtract, total, difference, minus, take away, pence, pounds, regroup, exchange, incorrect, justify, prove, explain, annotate, number fact, inverse, order, operation, length, mass, capacity

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

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

product, partition, distribute, brackets, order, multiply, digit, equal parts, scale up, scale down, twice as much, three times as much, double, round, remainder, add, left over

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
MM To extend and explain number sequences (48, 41, 34, 27…) including those that continue beyond zero (5, 1, -3….)

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

half, third, quarter, fifth, tenth, equivalent, equal parts, divide, larger, smaller, numerator, denominator, whole, tens, ones, tenths, hundredths, minus, equal to, counting in, steps of, adding, subtracting, negative, minus

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
To solve a range of two step word problems involving fractions and decimals
MM To calculate 10, 100 or 1000 more or less than a given number

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

half, third, quarter, fifth, tenth, equivalent, equal parts, divide, larger, smaller, numerator, denominator, whole, tens, ones, tenths, hundredths, minus, equal to, counting in, steps of, adding, subtracting, negative, minus, lots of, annotate, more than, less than, ten, hundred, thousand

Summer - Second half term

Week 1

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
Maths assessment

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

horizontal, vertical, parallel, perpendicular, sides, right angle, acute angle, obtuse angle, degrees, smaller, greater, straight line, quadrilateral, circle, triangle, octagon, pentagon, hexagon, semi-circle, equal, pairs of, more, two dimensional, mirror, symmetrical, equal, regular, irregular

Week 2

Geometry – Position & Direction

To measure and calculate perimeter of 2-D shapes
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

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

perimeter, centimetre, addition, 2-D, above, below, origin, coordinate, x axis, y axis, horizontal, vertical, north, south, east, west, up, down, left , right, line of symmetry, mirror line, reflection

Week 3

Measurement – Money

To select different combinations of coins to make the same amounts of money
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 use times table facts to divide mentally

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

pence, pounds, twenty, ten, five, fifty, notes, coins, smallest, largest, most, least, total, add, subtract, change, left over, multiple, ten, hundred, times table, recall, apply, fact, ten times larger, ten times smaller

Week 4

Measurement – Length, Mass & Volume

To measure and compare lengths in m, cm and mm (using rulers or tapes)
To compare and measure mass in kg and g
To measure and compare volume and capacity
To convert between units of length, mass and volume
MM To double and halve two and three digit numbers

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

interval, millimetre (mm), centimetres (cm), metres (m), largest, smallest, < less than, > greater than, grams (g), kilograms (kg), mass, heaviest, lightest, millilitres (ml), litres (L), multiply, divide, 10, 100, 1000, double, multiply by 2, halve, divide by 2

Week 5

Measurement – Length, Mass & Volume

To calculate fractions of measures
To solve addition and subtraction problems in the context of LMV
To use multiplication and division to scale by integers – context LMV
To solve multi-step problems using four operations

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

quarter, half, three quarters, tenths, fifths, millilitres, litres, metres, centimetres, millimetres, grams, kilograms, total, difference, more than, less than, lots of, shared equally, stops of, annotate

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 divide by 4 and 8 using halving

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, count forwards, count backwards, halving twice, halving three times

Week 7

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 by 4 and 8 using doubling

Times Tables

Teacher judgement – Tables/Facts selected based on slowest averages in each class from TTRS

Vocabulary

frequency, many more, many fewer, twice as many, many left, total, table, bar chart, altogether, most, least, half as many, pictogram, key, row, column, organise, sort, doubling twice, doubling three times

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 and order numbers beyond 100,000
To round numbers to the nearest 10, 100, 1000 , 10,000 and 100,000

Times Tables

Vocabulary

Digit
Place value
Represent
More than >
Less than <
Largest
Smallest
Round up
Round down
Power of 10
To the nearest

Week 2

Addition and Subtraction – Encourage Use of Estimation

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
Mental maths – to add and subtract multiple numbers efficiently using re-ordering e.g. 25 + 36 + 75 = 75 + 25 + 36, look at mental maths policy for more examples

Times Tables

Vocabulary

Round
Estimate
Calculation
Estimation
Digit
Total
Regroup
Column
Exchange
Difference
Subtraction
More/less
Total
Difference

Homework

Place value

Week 3

Multiplication and Division

To multiply whole numbers and 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
Mental manths – to add multiples of 100 and 1000 using knowledge of place value

Times Tables

Vocabulary

Decimal
Place value
Multiplication
Division
Regrouping
Digits
Bus stop
Whole number
Remainder
Divisor
Additions
Jottings
Re-order
Efficient
Calculate

Homework

Written method addition
Written method subtraction

Week 4

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
Mental maths – to subtract multiples of 100 and 1000 using knowledge of place value

Times Tables

Vocabulary

Factor
Factor pairs
Common factor
Integer
Multiplication
Partitioning
Multiply
Addition
Column
Regroup
Inverse
Estimation
Multiplication
Division
Place value
Multiple
Prime
Factor trees
Prime factors
Power of ten
Subtraction

Homework

Multiplying and dividing by 10, 100, 1000

Week 5

Four Operations

To identify and explain common misconceptions in column addition and subtraction
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
Mental maths – to add and subtract whole numbers mentally using partitioning

Times Tables

Vocabulary

Addition
Subtraction
Misconception
Exchange
Regroup
Operation
Steps
Carry
Place holder
Multiplication
Division
Multiply
Divide
Inverse
Multi-step
Power of ten
Place value
Partitioning

Homework

Written method for multiplication
Written method for division

Week 6

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)
To calculate time duration problems that pass through the hour
To solve a range of time measurement problems
Mental maths – to convert between analogue and digital clocks

Times Tables

Vocabulary

Time
Conversion
Seconds
Minutes
Hours
Equivalent
Convert
Weeks
Months
Years
Duration
Start
Finish
Minutes
Hours
Depart
Arrive
Longer
Shorter
Digital
Analogue
Am
Pm
24-hour clock
Calculation of units of time scaffolds e.g. 1 day = 24 hours

Homework

Rounding

Week 7

Fractions, Decimals and Percentages

To use representations to describe and compare fractions
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
Mental maths – to add and subtract whole numbers when bridging through multiples of 10 e.g. 575 + 28 = 575 + 25 + 3

Times Tables

Vocabulary

Fraction
Equivalent
Multiply
Numerator
Denominator
Common factor
Numerator
< Smaller than
> Larger than
= Equal
Fraction
Divide
Number bond
Partition
10 = _ + _ digit

Homework

Units of time

Week 8

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

Times Tables

Vocabulary

Whole
Part
Convert
Multiply
Divide
< Less that
> Greater than
= Equal
Equivalent
Conversion
% percent/out of 100
Convert the denominator to 100
Equivalence
Hundredths
% = out of 100
Decimal = divide % by 100
0._ _ = _ _ %

Autumn - Second half term

Week 1

Geometry – Properties of Shape

To sort regular and irregular polygons
To estimate angles
To compare angles
To identify missing angles

Times Tables

Vocabulary

Straight lines
Equal
Length
Angles
Sides
Acute < 90^o
Right angle = 90^o
Obtuse
Degree
Reflex
Right angle
Straight angle
Full angle
Acute < 90^o
Obtuse <180^o
Reflex < 360^o

Homework

Sheet 4 – Written method for addition

Week 2

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
Mental Maths – To examine the quantity of objects (e.g. coins a jar, grapes in a bowl etc.) and make a reasonable estimate

Times Tables

Vocabulary

10mm = 1cm
100cm = 1m
1000m = 1km
1000 grams = 1 kilogram
cm x 10 = mm
cm x 100 = m
m ÷ 1000 = km
decimal point
÷ 1000
x 1000
exact
width
length
right angle
g
kg
multiply
weight
length
cm
m
km
operation
more
less
total
difference
ruler
measure
length
accurate
half
estimate
subitise
calculate
times

Homework

Sheet 9 – Comparing angles

Week 3

Measurement – Volume and Capacity

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

Times Tables

Vocabulary

Millimetre
Centimetre
Metre
Kilometre
Convert
Litre
Grams
Kilogram
Feet
Inches
Scale up
Scale down
Cube number
Cubed
Capacity
Depth
Length
Width
Ascending
Descending
Smallest
Largest

Homework

Sheet 15 – Converting metric units

Week 4

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
Mental Maths – To calculate the difference by counting up through the next multiple of 10, 100 or 1000

Times Tables

Vocabulary

Perimeter
Composite
Rectilinear
Length
Width
Side
Distance
Area
Square
Centimetre
Total
Product
Estimate
Regular
Irregular
Expression
Formula
Product
Order
BIDMAS
Tens
Hundreds
Thousands
Ten thousands
Hundred thousands

Maths Homework

Sheet 16 – Length and weight problems

Week 5

Statistics

To solve comparison problems using information in a line graph
To solve sum problems using information in a line graph
To solve sum and difference problems using information in a line graph
To complete, read and interpret information in tables
Mental Maths – 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

Times Tables

Vocabulary

Y axis
X axis
Origin
Plot
Difference
Interval
Length
Width
Depth
Frequency
Greatest
Smallest
Sum
Total
Row
Column
Relevant
Value
Hundredths
Tenths
Ones
Tens
Whole
Add
Plus

Homework

Sheet 33 – Long multiplication

Week 6

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
Mental Maths – To add and subtract using compensating

Times Tables

Vocabulary

Negative
Subtraction
Addition
Sequence
Temperature
Decimal
Place value
Point
Addition
Subtraction
Inverse
Total
Difference
Reorder
Inverse operation
Annotate
Reorder
Estimate
Inverse
Efficient
Count back
Positive
Negative
Plus
Minus
Near doubles
Place value
Hundreds
Tens
Ones
Rounding

Homework

Sheet 17 – Line graphs

Week 7

Number and Place Value

To identify the term-to-term rule
To multiply numbers up to four digits by a two digit number
Mental Maths – To identify angles at a point and one whole turn

Times Tables

Vocabulary

Term
Rule
Sequence

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

Times Tables

Vocabulary

rule, add, subtract, term, count forwards, count backwards, negative, minus, more than, less than, powers of ten, steps of, ten, hundred, thousand, one, five, fifty, five hundred, numeral

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 and subtract using compensating. e.g. 138 + 69 = 138 +70 – 1

Times Tables

Vocabulary

rule, add, subtract, term, count forwards, count backwards, negative, minus, more than, less than, powers of ten, steps of, ten, hundred, thousand, one, five, fifty, five hundred, numeral

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 add using near doubles e.g. 160 + 170 = 160 doubled + 10 or 150 doubled + 30

Times Tables

Vocabulary

larger, smaller, times, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, place value, column, regroup, bus stop, remainder, decimal, fraction, exchange, partition, distribute, double, round, nearest

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 derive quickly related facts e.g. 150-80 = 70, 1500-800 = 700, 1.5-0.8 = 0.7

Times Tables

Vocabulary

mixed number, improper fraction, equivalent, multiples, numerators, denominators, sequence, percentage, decimal, decimal fraction, add, plus, subtract, minus, takeaway, lots of, multiply

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 identify a number that sits halfway between two numbers e.g. (2743 + 2831)/2

Times Tables

Vocabulary

hundredths, tenths, ones, tens, add, subtract, hundred, thousand, multiply, larger, smaller, round up, round down, nearest to, bigger, smaller, smallest, largest, decimal place, between, middle, halfway, total, divide by 2

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

Times Tables

Vocabulary

scale up, scale down, multiply, divide, equal parts, pound, pence, total, change, left over, difference, annotate, column, row, minutes, hours, arrive, ones, tens, hundreds, inverse, add, subtract, operation

Spring - Second half term

Week 1

Four Operations – Conversion

To use number bonds to find factors and products to identify missing factors (using fractions and decimals)
To solve conversion word problems involving addition and subtraction
To recognise and use square numbers
To identify the lowest common multiples between two numbers
Maths assessment

Times Tables

Vocabulary

factor, multiples, number bonds, fraction, decimal, common, plus, minus, total, difference, millimetre, millilitre, gram, centimetre, metre, kilometre, kilogram, litre, ten, hundred, thousand, square number, cube number, multiply, squared, prime

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

Times Tables

Vocabulary

acute, obtuse, straight line, estimate, smallest, largest, quarter turn, half turn, three-quarter turn, x axis, y axis, plot, translate, coordinate, quadrant, position, origin, centre, left, right, up, down, vertex, mirror line, reflect, symmetrical, vertical, horizontal

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

Times Tables

Vocabulary

acute, obtuse, straight line, estimate, smallest, largest, quarter turn, half turn, three-quarter turn, diagonal, parallel, perpendicular, equidistant, cuboid, cube, square based pyramid, tetrahedrons, cylinder, cone, sphere, prism, hexagonal, pentagonal, elevation, plan view, net, faces, fold, 3D, partition , multiply, ten, hundred, thousand, bigger, smaller

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

Times Tables

Vocabulary

smallest, largest, ascending, descending, decimal place, ten, one, tenth, hundredth, thousandth, highest, equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, multiples, factor, mixed number, improper

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

Times Tables

Vocabulary

estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, farther, shorter, re-order, regroup, exchange, ten, one, tenth, hundredth, thousandth, highest, equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, negative, degrees Celsius, temperature, zero

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
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

Times Tables

Vocabulary

prime, composite, factors, multiples, common factors, factor pairs, divide, half, multiply, double, lowest, highest

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

Times Tables

Vocabulary

hundred thousands, ten thousands, thousands, hundreds, tens, ones, position, digit, even, odd , greater than >, less than < , largest, smallest, bigger, nearest, round up, round down, power of 10, steps of

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

Times Tables

Vocabulary

seconds, minutes, hours, days, scale up, scale down, weeks, years, leap year, longer, shorter, perimeter, area, side, distance, square centimetre, composite, rectilinear, length, width, total, product, cube number, cubed, capacity, depth, length, width

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

Times Tables

Vocabulary

Y axis, x axis, origin, plot, difference, interval, length, width, depth, frequency, greatest, column, row, minutes, hours, arrive, partition, place value, multiply, lots of

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

Times Tables

Vocabulary

millimetre, centimetre, metre, kilometre, millilitre, litre, grams, kilogram, convert, feet, inches, scale up, scale down, ascending, descending, smallest, largest, seconds, minutes, hours, days, weeks, months, years, pound, pence, division facts, half, double, ten times, hundred times, larger, smaller

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)

Times Tables

Vocabulary

mixed number, improper fraction, equivalent, multiples, numerators, denominators, sequence, percentage, decimal, decimal fraction, tenths, hundredths, thousandths, steps of, term, sequence, half, halfway

Summer - Second half term

Week 1

Fractions, Decimals and Percentages

To solve problems with fractions
To review my knowledge of FDP
To review my knowledge of FDP
Maths assessment

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

Times Tables

Vocabulary

equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, multiples, number bonds, bridge, partition, split into, Improper fraction, mixed number, whole number, equivalent

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

Times Tables

Vocabulary

hundred thousands, ten thousands, thousands, hundreds, tens, ones, position, digit, even, odd, greater than >, less than < , largest, smallest, bigger, nearest, round up, round down, power of 10, steps of, numeral, digit, common, factor, multiple, prime number, primer factor, five, fifty, divide, half

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

Times Tables

Vocabulary

estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, farther, shorter, explain, justify, prove, bus stop, regroup, exchange, partition, cube number, cubed

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

Times Tables

Vocabulary

acute, obtuse, straight line, reflex, estimate, smallest, largest, quarter turn, half turn, three-quarter turn, baseline

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

Times Tables

Vocabulary

acute, obtuse, straight line, reflex, Sides, angles, equal, regular, irregular, square, rectangle, circle, triangle, isosceles, equilateral, right-angled, scalene, pentagon, hexagon, heptagon, octagon, cuboid, cube, square based pyramid, tetrahedrons, cylinder, cone, sphere, prism, hexagonal, pentagonal, Y axis, x axis, origin, plot, translate, polygon, concave, convex

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

Times Tables

Vocabulary

estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, intervals, quarter turn, half, turn, three-quarters turn, full turn, 90, 180, 270, 360

Week 7

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 line graph based on data given to them)
To interpret and present data in a pictogram (pupils draw and produce their own line graph based on data given to them)
To interpret and record data into a Venn diagram
To interpret and record data into a Carroll diagram

Times Tables

Vocabulary

Y axis, x axis, origin, plot, difference, interval, length, width, depth, frequency, greatest, smallest, hundredths, tenths, ones, tens, whole, add, plus

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

Times Tables

Vocabulary

Digit
Hundred
Thousand
Ten thousand
Million
Place value
Tens
Hundreds
Thousands
Ones
Value
Smallest
Largest
Greater than >
Less than <
Round up
Round down
Nearest to
Power of ten
Negative
Positive
Minus
Increase
Decrease

Homework

Place value of digits

Week 2

Addition and Subtraction

To use estimation to check answers to calculations
To solve any addition and subtraction with numbers up to 3 decimal places
To demonstrate the order of operations using brackets
To work systematically to solve multi-step problems
Mental maths – to order integers in ascending and descending order that cross zero

Times Tables

Vocabulary

Total
Difference
Exchange
Estimate
Regroup
Round to
Nearest
Approximate
Accuracy
Calculation
Brackets
Indices
Powers
Operation
Order
Than
More than
< >
Ascending
Annotate
Less
Descending
Largest
Smallest
BIDMAS
Left to right

Homework

Written method for +/-

Week 3

Multiplication and Division

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
To interpret remainders as whole number remainders, fractions or rounding
To solve short and long division calculations that involve interpreting the remainder as a decimal
Mental maths – to identify common factors and prime numbers

Times Tables

Vocabulary

Digit
Multiplication
Product
Portioning
Regroup
Dividend
Divisor
Quotient
Short division
Remainder
Decimal
Short
Division
Remainder
Regroup
Common factors
Prime numbers
Composite
Fractions
Numerator
Denominator

Homework

Long multiplication

Week 4

Fractions, Decimals and Percentages

To use common factors to simplify fractions
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 numbers
Mental maths – to add and subtract four digit+ multiples of 10, 100 and 1000 using partitioning

Times Tables

Vocabulary

Common
Multiple
Factor
Numerator
Denominator
Simplified
Improper
Mixed number
Like fractions
Unlike fractions
Simplest
Common
Divide
Keep
Change
Flip
Simplified
Hundreds
Thousands
Hundred thousands
Millions
Place value
Simplified
Convert
Partitioning

Homework

Equivalent fractions

Week 5

Fractions, Decimals and Percentages

To calculate fractions of amounts
To find percentage of amounts
To calculate decimal and fraction equivalents
To multiply and divide by powers of 10
Mental maths – to add and subtract decimal fractions up to 2 decimal places using partitioning

Times Tables

Vocabulary

Numerator
Denominator
Simplify
Equivalent
Decimal
Fraction
Decimal place
Partitioning
Multiply
Divide
Powers of ten
Equivalents
10% = ÷ 10
5% = half of 10%
25% = ÷ 4
1% = ÷ 100
20% = ÷ 5
Digit
1/100 = 0.01
1/10 = 0.10
1/1000 = 0.001
1/2 = 0.5
1/4 = 0.25
Decimal point
Shift
Column
Ones
Tenths
Hundredths
Thousandths
Decimal fraction
Place value
Partition
Add
Subtract
Estimate

Homework

Fractions of quantities

Week 6

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
Mental maths – to add and subtract using compensation

Times Tables

Vocabulary

Area
Perimeter
Length
Width
Squared
Height
Base
Polygon
Compound
Compensation
Bridging
Area = (Base x Height) ÷ 2
Isosceles
Scalene
Equilateral
Right-angled
Triangle
Area
Perimeter
Length
Width
Squared
Height
Base
Polygon
Area = base x height
Perimeter
Length
Width
Squared
Height
Base
Polygon
Parallelograms
Volume = length x height x width
100cm = 1 m
10mm = 1 cm

Homework

Area of triangles/parallelograms

Week 7

Assessment Week and Multiplication and Division

Arithmetic Test
Reasoning paper 1
Reasoning Paper 2
To multiply and divide with decimals
To solve word problems involving multiplication and division

Times Tables

Vocabulary

Decimal
Multiplication
Division
Remainder
Product
Annotate
Estimate

Homework

Multiplication of Decimals

Week 7

Number and Place Value

To identify decimals and other intervals on a number line
To add and subtract with negative numbers
To round any decimal number up to 3 decimal places
Mental maths – to identify near doubles 421+387=808

Times Tables

Vocabulary

Decimal
Fraction
Interval
Mixed number
Number line
Place value
Integer
Negative
Positive
Addition
Subtraction
Round
Estimate
Value
Mental
Double
Half
Multiply
Operation

Homework

Negative numbers

Autumn - Second half term

Week 1

Geometry – Shape/Angles

To compare and classify geometric shapes (2D)
To compare and classify geometric shapes (3D)
To compare and classify geometric shapes (3D)
To visualise a 3D shape from its net

Times Tables

Vocabulary

Properties
Symmetry
Symmetrical
Polygons
Pair
Diagonal
Net
Fold
Face
Vertices
Vertex (corner)
Edge
Equilateral
Scalene
Right-angled isosceles
Trapezium
Rhombus
Prism
Parallelogram
Geometric
Regular = equal sides/angles
Irregular = unequal sides/angles
Acute = less than 90^o
Obtuse = more than 90^o
Right angle = 90^o
Perpendicular line = right angle
Parallel- never meet
The angles in a triangle add up to 180^o
The angles in a quadrilateral add up to 360^o

Homework

Sheet 6 – Angles in 2D shapes

Week 2

Measurement – Length, Volume, Mass

To calculate, estimate and compare volume of cubes, cuboids and compound shapes
To convert measures using decimal notation to 3DP
To solve problems involving converting units of time
Mental Maths – 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)

Times Tables

Vocabulary

Cube
Cuboid
Compound shape
Volume
Edge
Face
Length
Width
Height
Millimetre
Centimetre
Metre
Litre
Centilitre
Millilitre
Tonnes
Decimal
3DP
Kilometre
Mile
Scaled
1 mile = 1.6km
Miles to km = ÷5 x by 8
Km to miles = ÷8 x by 5
Seconds
Minutes
Hours
Days
Weeks
Months
Years
Leap years
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
7 days = 1 week
12 months = 1 year
52 weeks = 1 year
365 (.25) days = 1 year
366 days = 1 leap year
Duration
Difference
Counting
Multiple
Subtraction
Approximate

Homework

Sheet 15 – Converting metric units

Week 3

Measurement – Money, Time and Temperature

To solve problems involving conversion and measure
To solve time duration problems using four operations
To solve problems involving money using the four operations
To add and subtract positive negative integers in the context of temperature
Mental Maths – To identify what to add to a decimal with values in the ones, 10^ths and 100^ths to make the next highest whole number or 10^th

Times Tables

Vocabulary

Seconds
Minutes
Hours
Days
Weeks
Months
Years
Leap years
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
7 days = 1 week
12 months = 1 year
52 weeks = 1 year
365 (.25) days = 1 year
366 days = 1 leap year
Duration
(£) pence (p)
Change
100p = £1
Temperature
Positive
Negative
Thermometer
Degrees
Celsius
Fahrenheit
Ones
Tenths
Hundredths
Whole
Counting on

Homework

Sheet 17 – Measures
Problems- converting units

Week 4

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
Mental Maths – To calculate alternative averages mentally

Times Tables

Vocabulary

X axis
Y axis
Coordinate
Plot
Origin
Data
Pie chart
360°
Fraction
Quantity
Angle
Percentage
Mean
Average
Total
Divide
Number of groups
Mean = total ÷ number of groups
Mode
Median
Range

Homework

Sheet 39 – Pie charts

Week 5

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
Mental Maths – To multiply and divide whole numbers 10, 100 and 1000

Times Tables

Vocabulary

Multiply
Divide
Decimal
Digit
Place holder
Power of ten
Tenths
Hundredths
Thousandths
Rounding
Estimate
Fraction
Percentage
Equivalence
Decimal to %
% to decimal
Percent = per 100
Fraction: write over 100 and simplify
Ratio
Proportion
Word problem
Total
Part
Whole
Compare
Difference
Operation
Pie chart
Angle
Circle = 360°
Angle = 360° ÷ total of data
Sector
Segment
Data set
Power of ten
Place value
Factor
Multiple

Homework

Percentages

Week 6

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
Mental Maths – To multiply and divide decimal numbers by 10, 100 and 1000

Times Tables

Vocabulary

Vertex
X axis
Y axis
Quadrant
Coordinate
Position
Negative
Plot
Vertices
Translate
Move
Right
Left
Up
Down
Reflect
Mirror line
Vertical
Horizontal
Multiply
Divide
Decimals
Power of 10
Place value

Homework

Sheet 35 – Percentages

Week 7

Four Operations

To demonstrate the order of operations using brackets
To solve a range of four operation word problems

Times Tables

Vocabulary

Brackets
Indices
Multiplication
Division
Addition
Subtraction
Order
BIDMAS
Commutative
Associative
Distributive
Partition
Value
Equation
Formula
Rule
Variable
Inverse
Represent
Pairs of values
Quantity
Substitute
Sequence
Nth term
Negative
Rule
Jottings
Equation
Expression

Homework

Page 32 – Multi-step Word Problems

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

Times Tables

Vocabulary

brackets, indices, multiplication, division, addition, subtraction, order, commutative, associate, distributive, partition, re-order, share, annotate

Week 2

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 use times table facts to multiply mentally

Times Tables

Vocabulary

value, equation, formula, rule, variable, inverse, represent, pairs, quantity, substitute, sequence, nth term, negative, rule, jottings

Week 3

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

Times Tables

Vocabulary

common, factors, multiples, prime, fact, highest, lowest, times table

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 solve mentally one fact 4.97-1.58 and then state three other related facts

Times Tables

Vocabulary

scale, factor, scaling, multiply, divide, enlarge, reduce, length, perimeter, unequal, quantity, ratio, total, calculation, fact, addition, subtraction, multiplication, division, related, integer

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

Times Tables

Vocabulary

simplify, numerator, denominator, fraction, mixed number, improper fraction, decimal, percentage, equal, greater than, less than, nth term, sequence, variable, formula, equation, rule, addition, subtraction, multiplication, division, annotate, total, ratio, unequal, sharing, scaling, ratio, factor, multiples

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 knowledge of number facts to prove exact multiples e.g. multiples of 3, 4, 6, 8 and 9

Times Tables

Vocabulary

total, multiply, divide, fraction, numerator, denominator, equivalent, convert, decimal, compare, larger than, less than, discount, increase, decrease, annotate, divisible, multiply, digit, total

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

Times Tables

Vocabulary

place value, nearest, whole, digit, round up, round down, tenth, hundredth, thousandth, dividend, divisor, quotient, decimal remainder, whole remainder, fraction remainder, estimate, division, nth term, formula, sequence, rule, term, double, halving, multiply, divide

Week 2

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

Times Tables

Vocabulary

value, equation, formula, rule, variable, inverse, represent, pairs, quantity, substitute, sequence, nth term, negative, rule, jottings, squared, cubed, multiplication, power of

Week 3

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

Times Tables

Vocabulary

X axis, y axis, coordinate, plot, origin, data, pie chart, 360^o, fraction, quantity, percentage, sector, angle, mean, mode, range, average, median, set, ascending, descending, total, divide, numerator, denominator, simplify, convert, decimal

Week 4

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

Times Tables

Vocabulary

scale, factor, scaling, multiply, divide, enlarge, reduce, length, perimeter, unequal, quantity, ratio, total, calculation, fact, addition, subtraction, multiplication, division, related, integer

Week 5

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
MM – To explain the equivalent of one thousandth/100th/ 10th/ quarter and half of 1km, 1kg, 1 litre in m, g and ml respectively

Times Tables

Vocabulary

equivalent, tenth, hundredth, thousandth, quarter, half, kilometre, litre, kilogram, metre, centimetre, millimetre, gram, centilitre, millilitre

Summer - First half term

Week 1

Recap previously taught concepts

To solve a range of conversion word problems
To demonstrate the order of operations using brackets
To solve a range of algebraic problems
MM To explain the percentage equivalent to common fractions and vice versa

Times Tables

Week 2

Recap previously taught concepts

To calculate fraction and percentage of amounts
To solve a range of area, perimeter and volume problems
To solve a range of missing angle problems
To solve a range of problems involving coordinates
To solve a range of position and direction problems

Times Tables

Week 3

Recap previously taught concepts

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

Times Tables

Week 4

Mathematical investigation and shape

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

Times Tables

Vocabulary

annotate, jotting, resilience, perseveration, trial and error, logic, right-angled triangle, isosceles, scalene, equilateral, 180, internal, external, quadrilateral, square, rectangle, trapezium, kite, rhombus, parallelogram, arc, sector, circle, radius, diameter

Week 5

Recap previously taught concepts

To solve a range of problems on 2-D shapes
To solve four operation fraction problems
To solve a range of position and direction problems
To solve four operation word problems
MM To explain 1/10 is divide by 10 and 10%, finding 25%, 50% etc.

Times Tables

Vocabulary

multiply, divide, tenth, hundredth, quarter, half, third

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

Times Tables

Vocabulary

scale, map, represent, apart, multiply, divide, distance, x axis, y axis, vertical, horizontal, origin, line, variable, pyramid, population, bar, record, logic, annotate, resilience, perseverance

Week 2

Number and Place Value

To solve problem 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

Times Tables

Vocabulary

positive, negative, integer, addition, subtraction, multiplication, division, inverse, total, multiply, divide, fraction, numerator, denominator, equivalent, convert, decimal, compare, larger than, less than, discount, increase, decrease, annotate, divisible, multiply, digit, total, record, logic, annotate, resilience, perseverance

Week 3

Rhos y Gwaliau residential

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

Times Tables

Vocabulary

represent, apart, multiply, divide, distance, x axis, y axis, vertical, horizontal, origin, line, variable, formula, equation, balance, scale, square root, squaring, positive, negative

Week 5

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

Times Tables

Vocabulary

annotate, jotting, resilience, perseveration, trial and error, logic, right-angled triangle, isosceles, scalene, equilateral, 180, internal, external, quadrilateral, square, rectangle, trapezium, kite, rhombus, parallelogram, arc, sector, circle, radius, diameter

Week 6

Map scale

To read and interpret scales on a map
To use map scales for conversion
To investigate scale drawings
To read and interpret scales on a map

Times Tables

Vocabulary

increase, decrease, percentage, division, scale, multiply, division, temperature, Celsius, rotation, degrees, angle, 90, 180, 270, 360, quarter, half, full turn

Week 7

Pattern & Investigation

To interpret the square root
To explore complex patterns using a compass.
To discover different types of number including perfect numbers.
Maths investigation
Maths investigation

Times Tables

Vocabulary

binary, decimal, digit, bits, square, rational, irrational, terminating, recurring, perfect

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