We want all children by the time they leave Churchfields Junior School to not only be numerate, but to be able to transfer their mathematical skills to other curricular areas and into everyday life. By being *numerate* we are referring to an individual’s abilities to think and react mathematically; to apply number sense to everyday situations encountered and to reasoning, using number knowledge acquired. We want to impart to our children that Mathematics is not confined to just acquiring mathematical skills, but most importantly it is about fostering inquiring minds, inciting enthusiasm and valuing curiosity.

# Mathematics

### Read our Mathematics policies

## Curriculum and Overview of Outcomes

#### Week 1

**Rules, expectations and presentation **

#### Week 2

**Number and Place Value**

- To know the place value of the digits in a three-digit number
- To write numbers up to 1000 using digits
- To partition three-digit numbers
- To rapidily recall of 2, 3, 4 ,5, 8, 10, 50 and 100 tables
- To count in multiples of 4 and 8 (x2 table double to get x4, double again to get x8)

#### Week 3

**Addition**

- To use partitioning to add
- To use a number line for addition
- To solve missing number problems
- To derive quickly addition doubles from 1+1 to 20+20 eg 19+19=38
- To rapidly recall of addition facts up to and including 20

#### Week 4

**Subtraction**

- To find the difference using a number line (for near numbers)
- To do written subtraction with two-digit numbers
- To do written subtraction with two-digit numbers
- To mentally subtract a one digit number from a three-digit number
- To mentally subtract a multiple of 10 from a three-digit number

#### Week 5

**Multiplication**

- To multiply by ten using place value grids and dienes
- To multiply two digit numbers by a one digit number
- To multiply three digit numbers by one digit number
- To rapidly recall of all numbers multiplied by 10, 100, 1000
- To rapidly recall of all multiplication and division facts up to 12 x 12

#### Week 6

**Division**

- To use number bonds for factor and products
- To identify missing factors
- To derive related division facts from known multiplication facts
- To count forwards and backwards in 3s, 4s and 8s
- To count forwards and backwards in 3s, 4s and 8s from any given number

#### Week 7

**Fractions**

- To identify unit fractions of objects, shapes and length
- To identify non-unit fractions of objects, shapes and length
- To calculate fractions of a quantity
- To count up and down in tenths
- To divide one digit numbers by ten & to divide multiples of ten by ten

#### Week 1

**Measure**

- To measure and compare lengths in m, cm and mm
- To use multiplication and division to scale by integers.
- To measure and compare mass in Kg and g
- To know the number of seconds in a minute
- To know the number of days in each months

#### Week 2

**Geometry**

- To draw and describe 2-D shapes
- To make 3-D shapes using modelling materials.
- To recall the properties of 3D shapes
- To recognise 3-D shapes in different orientations
- To investigate an aspect of shape
- To investigate an aspect of shape

#### Week 3

**Number and Place Value**

- To compare numbers up to 1000
- To use part, part whole to partition numbers in different ways
- To order numbers up to 1000
- To count in multiples of 50 and 100
- To count on and back in tens crossing hundreds from any given three digit number

#### Week 4

**Addition**

- To derive quickly addition doubles
- To add 2 two-digit numbers without regrouping
- To add 2 two-digit numbers with regrouping
- To know doubles of multiples of 5 from 5+5 to 100+100 e.g. 95+95 = 190
- To derive quickly pairs of multiples of 5 that total 100: e.g. 65 + 35

#### Week 5

**Subtraction**

- To do written subtraction with 2 three-digit numbers
- To do written subtraction with 2 three-digit numbers
- To estimate answers to check written subtraction
- To mentally subtract a multiple of 100 from a three-digit number
- To mentally subtract a multiple of 10 from a three-digit number

#### Week 6

**Multiplication**

- To multiply two digit by two digit number
- To solve problems using scaling
- To multiply together three numbers
- To multiply any 1 digit number by 1, 10, 100 or 0
- To observe the effect of multiplying by 10

#### Week 7

**Division**

- To divide a two digit number by a one digit number
- To divide a two digit number by a one digit number using short division
- To have rapid recall of all division facts when given a multiplication fact
- To use repeated subtraction on the counting stick

#### Week 8

**Fractions**

- To recognise equivalent fractions
- To recognise that tenths arise from dividing an object into ten equal parts
- To compare fractions
- To identify numbers that are half way between two digits
- To identify numbers that are half way between two digits

#### Week 1

**Measure**

- To measure and compare volume in l/ml
- To solve measurement problems using both addition and subtraction
- To convert between different units of measure
- To know the number of days in a year and leap year
- To use decimal notation for money

#### Week 2

**Geometry**

- To recognise angles as a property of shape
- To identify angles in the environment
- To recognise angles as a description of a turn
- To investigate an aspect of shape
- To investigate an aspect of shape

#### Week 3

**Statistics**

- To interpret and present data using bar charts
- To interpret and present data using bar charts
- To interpret and present data using tables
- To count in intervals of 3, 5, 10
- To quickly count up scores when voting takes place

#### Week 4

**Number and Place Value**

- To read, draw and estimate amounts on number lines
- To count 10 up or down from any number
- To count 100 up or down from any number
- To compare numbers up to 1000
- To use dienes and coins to understand place value

#### Week 5

**Addition**

- To rapidly recall doubles of multiples of five
- To mentally add a three digit and a multiple of 100
- To do written addition with 2 three-digit numbers without regrouping
- To estimate answers to check written addition
- Know by heart all multiples of 100 that total 1000: e.g. 400 + 600 = 1000

#### Week 6

**Subtraction**

- To mentally subtract by partitioning
- To estimate answers
- To check written subtraction using the inverse
- To mentally subtract a multiple of 100 from a three-digit number
- To mentally subtract a multiple of 10 from a three-digit number

#### Week 1

**Multiplication**

- To solve problems using scaling
- To derive multiplication and division facts from three digit numbers
- To solve two step word problems
- To know by heart all doubles and halves
- To multiply by 4

#### Week 2

**Division**

- To solve problems where items are shared equally
- To solve problems where items are shared using knowledge of fractions
- To use the distributive property strategy to divide ‘friendly’ numbers
- To divide any number by one or zero
- To divide any two digit even number by 2

#### Week 3

**Fractions**

- To order fractions
- To compare fractions with different denominators
- To recognise equivalent fractions
- To count up and down in tenths
- To divide one digit numbers by ten & to divide multiples of ten by ten

#### Week 4

**Measure**

- To measure and calculate perimeter of 2D shapes
- To calculate change given in both £ and p
- Tell and write the time from an analogue clock
- To find totals and give change
- To know what to buy and how to pay

#### Week 5

**Geometry**

- To identify right angles, linking to turns and identifying
- To sort symmetrical and non-symmetrical polygons
- To connect decimals and rounding to drawing and measuring straight lines
- To investigate an aspect of shape
- To investigate an aspect of shape

#### Week 6

**Statistics**

- To solve two step questions using statistical information
- To understand and use simple scales
- To classify shapes, numbers and objects into a Venn diagram
- To recognise importance of titles and labels when sorting data
- To solve one step questions using statistical information

#### Week 1

**Number and Place Value**

- To count up in multiples of 50
- To count up in multiples of 100
- To count up in multiples of 100
- To solve missing number problems
- Count on in tens from one given number to another How many tens did you count? ( 336 to 416)

#### Week 2

**Addition**

- To derive quickly pairs of multiples of 5 that total 100
- To do written addition with 2 three-digit numbers with regrouping ones
- To do written addition with 2 three-digit numbers with regrouping tens
- To check written addition using the inverse
- Add a two-digit number to a multiple of 100.e.g. 200+64

#### Week 3

**Subtraction**

- To do written subtraction with 2 three-digit numbers
- To do written subtraction with 2 three-digit numbers
- To estimate answers to check written subtraction
- To mentally subtract a multiple of 100 from a three-digit number
- To mentally subtract a multiple of 10 from a three-digit number

#### Week 4

**Multiplication**

- To recognise factors of a number
- To multiply decimals
- To multiply decimals
- To multiply by 5
- To multiply by 20

#### Week 5

**Division**

- To know whether to round up or down depending on context
- To know whether to round up or down depending on context
- To solve problems where items are shared using knowledge of fractions
- Doubles of 50, 100, 150, 200 up to 500
- To divide any three digit multiple of 10 by 10

#### Week 1

**Fractions**

- To add like fractions
- To subtract like fractions
- To solve word problems involving fractions
- To count up and down in tenths
- To divide one digit numbers by ten & to divide multiples of ten by ten

#### Week 2

**Measure**

- To tell and write the time from an analogue clock
- To tell and write the time from an analogue clock
- To read and record time to the nearest minute
- To suggest items that could be measured using
- To suggest items that could be measured using

#### Week 3

**Number and Place Value**

- To identify, represent and estimate numbers up to 1000 in numerals and words
- To recognise the place value of different measures
- To recognise the place value of each digit in a three digit number
- To count back in tens from one given number to another How many tens did you count? (202 to 182)
- To count on or back 400 in hundreds from any tens number (from 500, from 520, from 570)

#### Week 4

**Addition**

- To know by heart all multiples of 100 that total 1000
- To mentally add by using near multiples
- To add 2 three-digit numbers without regrouping
- To partition and recombine: e.g. 24 + 35 = 20 + 30 + 4 + 5 = 59
- To identify the corresponding subtraction facts. e.g. 22 + 57 = 79 and 79 – 57 = 22 etc.

#### Week 5

**Subtraction**

- To do written subtraction with 2 three-digit numbers
- To do written subtraction with 2 three-digit numbers
- To estimate answers to check written subtraction
- To mentally subtract a multiple of 100 from a three-digit number
- To mentally subtract a multiple of 10 from a three-digit number

#### Week 6

**Multiplication**

- To recognise factors of a number
- To multiply decimals
- To multiply decimals
- To work out 8 times table by doubling four times table
- To use doubling to work out multiples of 15

#### Week 7

**Division**

- To know whether to round up or down depending on context
- To solve problems where items are shared using knowledge of fractions
- To know how to find quarters of a number by finding half of a half
- To know how to find quarters of a number by finding half of a half

#### Week 1

**Rules, Systems, Expectations**

#### Week 2

**Number and Place Value**

- To represent 4 digit numbers
- To find 1, 10, 100 or 1000 more than a given number
- To recognise the place value of each digit in a four digit number
- To count in multiples of 6, 7 and 9
- To count in multiples of 25 and 1000

#### Week 3

**Addition**

- To add four digit numbers
- To add with regrouping in the 100s
- To add with regrouping in the 100s, 10s and 1s
- To rapidly recall of all addition facts to 20
- To derive quickly related facts

#### Week 4

**Subtraction**

- To subtract up to 4 digit numbers
- To subtract with regrouping in hundreds and thousands
- To subtract with regrouping in hundreds, thousands, tens and ones
- To subtract the nearest multiple of 10, 100 or 1000 and adjust
- To use the relationship between addition and subtraction

#### Week 5

**Multiplication**

- To multiply by ten using place value grids
- To multiply two digit numbers by a one digit number
- To derive multiplication and division facts from three digit numbers
- To rapidly recall of all numbers multiplied by 10, 100, 1000
- To rapidly recall of all multiplication and division facts up to 12 x 12

#### Week 6

**Division**

- To use number bonds for factor and products (To solve missing number sentences)
- To use known facts to derive facts involving 3 digit numbers (If I know 2 x 3 = 6 I can work out that 600 ÷ 3 = 200)
- To divide a three digit number using short division
- To know all related division facts when given a multiplication fact To recognise and use factor pairs

#### Week 7

**Fractions**

- To identify equivalent fractions
- To compare fractions
- To use factors and multiples to recognise equivalent fractions
- To divide one digit numbers by 10 and 100
- To divide a two digit numbers by 10 and 100

#### Week 1

**Measure**

- To convert units of measure
- To calculate money in pounds and pence using four operations
- To estimate, compare and calculate measures
- To convert pounds into pence and vice versa
- To suggest areas you would measure in mm², cm², m²

#### Week 2

**Geometry**

- To compare and classify geometric shapes based on their properties and sizes
- To compare and classify geometric shapes based on their properties and sizes
- To compare and order angles up to two right angles, by size
- To calculate missing angles in a triangle
- To verbally identify different shapes and their properties

#### Week 3

**Number & Place Value**

- To estimate and round numbers using measuring instruments
- To understand the history of different numeration systems
- To read and understand Roman numerals
- To find 1, 10, 100, 1000 more than any given number
- Extend and explain number sequences (48, 41, 34, 27…) continuing beyond zero

#### Week 4

**Addition**

- To add decimals up to 2 decimal places
- To solve two step word problems.
- To add four digit numbers
- To derive quickly number pairs that make 100
- To derive pairs of multiples of 50 that total 1000

#### Week 5

**Subtraction**

- To estimate and use the inverse to check
- To subtract decimals up to 2 decimal places
- To solve subtraction two step word problems
- To subtract a pair of multiples of 100, crossing 1000
- To subtract a multiple of ten from a 2 or 3 digit number without crossing hundreds

#### Week 6

**Multiplication**

- To multiply three digit numbers by one digit number
- To multiply two digit by two digit number
- To solve two step word problems
- Rapid recall of all multiplication and division facts up to 12 x 12
- To multiply by 20 (multiply by 10 and double)

#### Week 7

**Division**

- To use number bonds for factor and products (To solve missing number sentences)
- To use known facts to derive facts involving 3 digit numbers (If I know 2×3 = 6 I can work out that
- 600÷3=200)
- To divide a three digit number using short division
- To know all related division facts when given a multiplication fact
- To recognise and use factor pairs

#### Week 8

**Fractions**

- Recognise and write decimal equivalents of any number of tenths of hundredths
- Compare numbers with the same number of decimal places
- Round decimals with one decimal place to the nearest whole number
- Count from zero in steps of one tenth
- To count in fractions and decimals forwards and backwards

#### Week 1

**Measure**

- To calculate money in pounds and pence using four operations
- To convert time between analogue and digital clocks
- To solve problems involving converting time
- To convert pounds into pence and vice versa
- To suggest areas you would measure in mm², cm², m²

#### Week 2

**Geometry**

- To compare length and angles to decide if a polygon is regular or irregular
- To identify lines of symmetry in 2-D shapes presented in different orientations
- To complete a simple symmetric figure
- To calculate missing angles in a triangle
- To verbally identify different shapes and their properties

#### Week 3

**Statistics**

- To record data into Venn and Carroll diagrams
- To understand and use a range of scales
- To record change over time in a range of graphs
- To quickly count up scores when voting takes place
- To count up a counting stick in intervals of any number

#### Week 4

**Number and Place Value**

- To understand the place value of decimals and fraction
- To represent 4 digit numbers
- To find 1, 10, 100 or 1000 more than a given number
- To notice a pattern when counting from zero in 2s, 4s then 8s
- Approximate multiplications (19 x 16 = 20 x 16 = (2 x 16) x 10 = 320)

#### Week 5

**Addition**

- To identify common misconceptions in column addition
- To round off numbers to the nearest 10 / 100
- To estimate to check answers
- Multiples of 10 from 10 + 10 to 500 + 500: e.g. double 280
- Multiples of 100 from 100 + 100 to 5000 + 5000

#### Week 6

**Subtraction**

- To estimate and use the inverse to check
- To subtract decimals up to 2 decimal places
- To solve subtraction two step word problems
- Subtract a single digit from a multiple of 10 or 100
- Subtract a single digit from a 3 or 4 digit number crossing tens

#### Week 1

**Multiplication**

- To multiply two digit by two digit number
- To recognise factors of a number
- To solve two step word problems
- Rapid recall of all multiplication and division facts up to 12 x 12
- Work out 8 times table by doubling four times table

#### Week 2

**Division**

- To divide a three digit number using short division
- To divide a three digit number using short division
- To solve two step word problems
- Find all the pairs of factors of any number to 100
- Recognise and use factor pairs

#### Week 3

**Fractions**

- Recognise and write decimal equivalents of any number of tenths of hundredths
- Compare numbers with the same number of decimal places
- Round decimals with one decimal place to the nearest whole number
- Count from zero in steps of one tenth
- To count in fractions forwards and backwards & to count in decimals forwards and backwards

#### Week 4

**Measure**

- To calculate money in pounds and pence using four operations
- To convert time between analogue and digital clocks
- To calculate time durations that pass through the hour
- To convert pounds into pence and vice versa
- To suggest areas you would measure in mm², cm², m²

#### Week 5

**Geometry**

- To compare length and angles to decide if a polygon is regular or irregular
- To identify lines of symmetry in 2-D shapes presented in different orientations
- To complete a simple symmetric figure
- To calculate missing angles in a triangle
- To describe positions on a 2-D as coordinates in the first quadrant.

#### Week 6

**Statistics**

- To record data into Venn and Carroll diagrams
- To understand and use a range of scales
- To record change over time in a range of graphs
- To quickly count up scores when voting takes place
- To count up a counting stick in intervals of any number

#### Week 1

**Number and Place Value**

- To understand the place value of decimals and fraction
- To represent 4 digit numbers
- To find 1, 10, 100 or 1000 more than a given number
- To notice a pattern when counting from zero in 2s, 4s then 8s
- Approximate multiplications (19 x 16 = 20 x 16 = (2 x 16) x 10 = 320)

#### Week 2

**Addition**

- To identify common misconceptions in column addition
- To round off numbers to the nearest 10/100
- To estimate to check answers
- Multiples of 10 from 10 + 10 to 500 + 500: e.g. double 280
- Multiples of 100 from 100 + 100 to 5000 + 5000

#### Week 3

**Subtraction**

- To estimate and use the inverse to check
- To subtract decimals up to 2 decimal places
- To solve subtraction two step word problems
- Subtract a single digit from a multiple of 10 or 100
- Subtract a single digit from a 3 or 4 digit number crossing tens

#### Week 4

**Multiplication**

- To multiply two digit by two digit number
- To recognise factors of a number
- To solve two step word problems
- Rapid recall of all multiplication and division facts up to 12 x 12
- Work out 8 times table by doubling four times table

#### Week 5

**Division**

- To divide a three digit number using short division
- To divide a three digit number using short division
- To solve two step word problems
- Find all the pairs of factors of any number to 100
- Recognise and use factor pairs

#### Week 1

**Fractions**

- To recognise and write decimal equivalents of any number of tenths of hundredths
- To compare numbers with the same number of decimal places
- To round decimals with one decimal place to the nearest whole number
- To count from zero in steps of one tenth
- To count in fractions forwards and backwards & to count in decimals forwards and backwards

#### Week 2

**Measure**

- To calculate money in pounds and pence using four operations
- To convert time between analogue and digital clocks
- To calculate time durations that pass through the hour
- To convert pounds into pence and vice versa
- To suggest areas you would measure in mm², cm², m²

#### Week 3

**Number and Place Value**

- To order numbers beyond 1000
- To round any number to the nearest 10, 100, 1000
- To identify and count in negative numbers
- To round measurements in seconds, minutes, hours, metres, kilometres, litres to the nearest 10 or 100 units
- To know what the value of each digit is up to 10,000

#### Week 4

**Addition**

- To add decimals up to 2 decimal places
- To solve two step word problems
- To add four digit numbers
- To partition into hundreds, tens and ones to add mentally
- To identify addition and subtraction facts for any given algorithm

#### Week 5

**Subtraction**

- To estimate and use the inverse to check
- To subtract decimals up to 2 decimal places
- To solve subtraction two step word problems
- To find a small difference between a pair of numbers lying either side of a multiple of 1000
- To subtract a single digit from a multiple of 10 or 100

#### Week 6

**Multiplication**

- To multiply decimals
- To solve two step word problems
- To rapidly recall of all multiplication and division facts up to 12 x 12
- To work out the six times table by adding 2 times table facts and 4 times table facts

#### Week 7

**Division**

- To use number bonds for factor and products (To solve missing number sentences)
- To use known facts to derive facts involving 3 digit numbers (If I know 2×3 = 6 I can work out that 600÷3=200)
- To divide a three digit number using short division
- To know all related division facts when given a multiplication fact
- To recognise and use factor pairs

#### Week 1

**Rules, Systems, Expectations**

#### Week 2

**Number and Place Value**

- To recognise the place value of each digit in a six digit number
- To represent 6 digit numbers (to 1 000 000)
- To compare & order numbers to at least 1 000 000
- To know 1000, 10,000, 100,000 more/less than any six digit number
- To place six digit numbers in ascending and descending order

#### Week 3

**Addition**

- To add four digit numbers (regrouping in the 1000s, 100s, 10s and 1s)
- To round off numbers to the nearest 10
- To round off numbers to the nearest 100
- Add four digit multiples of 100 e.g. 3700 + 4500
- Add three or more digit multiples of 100 eg 400 + 800 + 500

#### Week 4

**Subtraction**

- To subtract four digit + numbers (regrouping in the 1000s, 100s, 10s and 1s)
- To identify common misconceptions in column subtraction
- To subtract decimals up to 2 decimal places
- Derive quickly related facts such as: 150 – 80 = 70, 1500 – 800 = 700 and 15 – 08 = 07
- Find a difference by counting up through the next multiple of 10, 100 or 1000 (8006 – 2993 = □ count up from the smaller to the larger number)

#### Week 5

**France residential and Harvest Festival rehearsal**

#### Week 6

**Multiplication**

- To multiply whole numbers and decimals by 10, 100, 1000
- To multiply numbers up to four digits by a one digit number
- To multiply numbers up to four digits by a two digit number
- To double using known facts
- To multiply by 50

#### Week 7

**Division**

- To use number bonds for factor and products and to identify missing factors (using fractions and decimals)
- Divide whole numbers by 10,100 and 1000
- Divide decimals by 10, 100 and 1000
- To identify common factors of two numbers
- To recall prime numbers up to 19

#### Week 1

**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
- To know percentage and decimal equivalents
- To know that one quarter is half of one half One eighth is half of one quarter One sixth is half of one third One tenth is half of one fifth, one twentieth is half of one tenth

#### Week 2

**Measure**

- To convert between different units of metric measure
- To use multiplication and division to inter scale and calculate changing rates
- To use approximate equivalences between metric and imperial units
- To convert days to weeks
- To express duration of days as weeks and days ie 2 weeks and 3 days = 17 daysTo express duration of days as weeks and days ie 2 weeks and 3 days = 17 days

#### Week 3

**Geometry**

- To identify 3-D shapes from 2-D representations
- To sort regular and irregular polygons
- To label parallel lines and right angles
- Picturing shapes, moving, reflecting, rotating and growing (2 days)

#### Week 4

**Number and Place Value**

- To find the term-to-term rule (2 days)
- To interpret negative numbers
- Count forwards and backwards with positive and negative whole numbers including through zero
- To compare two numbers (which is less 4 thousands or 41 hundreds)

#### Week 5

**Addition**

- To identify common misconceptions in column addition
- To add decimals up to 2 decimal places
- To add measures using the column method (regrouping)
- Find what to add to a three digit number to make the next higher multiple of 100 eg 651 + □ = 700
- Find what to add to a decimal with units and tenths to make the next higher whole number eg 825 + □ = 90

#### Week 6

**Subtraction**

- To round off numbers to the nearest 10
- To round off numbers to the nearest 100
- To find the missing value
- Subtract the nearest multiple of 10, 100 or 1000 and adjust (4005 – 1997 = 2008 because it is 4005 – 2000 + 3 = 2008)
- Recognise that knowing a fact such as 136 + 319 = 455 makes it possible to find 455 – 318 and 455 – 137

#### Week 7

**Multiplication**

- To identify common factors of two numbers
- To know prime numbers, prime factors and composite (non-prime) numbers
- To recognise and use squared and cubed numbers
- To find all factor pairs of a number & find common factors of two numbers
- Recognise 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 as square numbers

#### Week 8

**Division**

- To divide by powers of 10 (in scale drawings)
- To divide by powers of 1000 (in converting between units such as km and m)
- To interpret non-integer answers to division by expressing results in different ways
- To recall prime numbers up to 19
- To establish whether a number up to 100 is prime

#### Week 1

**Fractions**

- Read and write decimal numbers as fractions
- To convert mixed numbers to improper fractions (and back)
- To convert fractions to percentages
- To mentally add and subtract tenths, and one-digit whole numbers and tenths
- To understand that finding one third is equivalent to dividing by three

#### Week 2

**Measure**

- To measure and calculate the perimeter of composite rectilinear shapes
- To solve missing measure questions when presented algebraically
- To calculate and compare the area of rectangles (cm² and m²)
- Describe a way to calculate the area of a rectangle
- To know that 1 square metre = 10 000 cm² and that 1 square cm = 100mm²

#### Week 3

**Geometry**

- To identify angles at a point on a straight line
- To estimate and compare angles
- To identify angles at a point and one whole turn
- Picturing shapes, moving, reflecting, rotating and growing (2 days)

#### Week 4

**Statistics**

- To solve comparison problems using information in a line graph
- To solve sum problems using information in a line graph
- To solve difference problems using information in a line graph
- Test the hypothesis about the frequency of an event by collecting data quickly: reading paper, voting, internet…
- To be able to analyse data from a bar chart and respond rapidly to questions

#### Week 5

**Number and Place Value**

- To round numbers to the nearest 10, 100, 1000, 10 000 and 100 000
- To count in steps of powers of 10 up to 1 000 000
- To recognise the place value of each digit in a six digit number
- To round any two, three, four digit number to the nearest 10, 100, 1000
- To round measures (ie distance between cities to the nearest km)

#### Week 6

**Addition**

- To add four digit numbers (regrouping in the 1000s, 100s, 10s and 1s)
- To add measures using the column method (regrouping)
- To add decimals up to 2 decimal places
- To round off numbers to the nearest 10
- To round off numbers to the nearest 100

#### Week 1

**Subtraction**

- To subtract decimals up to 2 decimal places
- To subtract money using the column method (regrouping)
- To subtract measures using the column method (regrouping)
- Subtract multiples of 10 and 100
- Subtract a single digit multiple of 100 from a four digit number crossing 1000

#### Week 2

**Multiplication**

- To solve problems involving multiplication
- To understand the law of distribution
- To identify common factors of two numbers
- Calculate 16 times table by doubling 8 times table facts
- Calculate 25 times table by doubling

#### Week 3

**Division**

- To divide by powers of 10 (in scale drawings)
- To divide by powers of 1000 (in converting between units such as km and m)
- To solve division problems with decimals using place value counters
- To establish whether a number up to 100 is prime
- Multiply and divide numbers mentally using known facts

#### Week 4

**Fractions**

- To add and subtract fractions with denominators that are multiples of the same number
- To add and subtract decimals
- To multiply fraction and mixed numbers by a whole number
- To identify a decimal fraction between 2 numbers (between 41 and 42)
- To know that 10% = 01 = , 25% = 025 = , 50 % = 05 = , 75% = 075 =

#### Week 5

**Measure**

- To estimate the area of irregular shape
- To estimate and measure capacity
- To estimate volume
- To be fluent with these facts: 1 kilometre= 1000 metres, 1 metre= 100cm or 1000millimetres, 1 centimetre= 10 milli- metres, 1 kilogram= 1000 grams, 1 litre = 1000 millimetres
- To suggest items that could be measured using: kilometres, metres, centimetres, kilograms, grams, litres, millilitres

#### Week 6

**Number and Place Value**

- To identify missing lengths and angles (using angle sum facts)
- To label parallel lines and right angles
- To identify and use diagonal and parallel lines
- Picturing shapes, moving, reflecting, rotating and growing (2 days)

#### Week 1

**Statistics**

- To complete, read and interpret information in tables (including time tables)
- To make links with coordinates
- To choose the appropriate representations of data
- To develop an understanding of the mode (most common item)
- To develop an understanding of the range (difference between greatest and least)

#### Week 2

**Number and Place Value**

- Read Roman numerals
- To solve number problems
- To review knowledge of place value
- To multiply any number by 10, 100 and 1000 (and explain how the place value changes) (2 days)

#### Week 3

**Addition**

- To check calculations
- To solve addition and subtraction problems
- To use part, part whole to add money
- To solve two step word problems using the bar model
- To find what to add to a three digit number to make the next higher multiple of 100 eg 651 + □ = 700
- To find what to add to a decimal with units and tenths to make the next higher whole number eg 825 + □ = 90

#### Week 4

**Multiplication**

- To identify multiples
- To review my knowledge of multiplication and division
- To use mental multiplication
- Work out 12 times table by adding 2 times table and 10 times table
- To multiply a number by 19 or 21, multiply it by 20 and add or subtract the number

#### Week 5

**Division**

- To use mental division
- To review my knowledge of multiplication and division
- To complete short division calculations
- To establish whether a number up to 100 is prime
- Multiply and divide numbers mentally using known facts

#### Week 1

**Fractions**

- To write decimals ad fractions
- To round decimals
- To review knowledge of fractions, decimals and percentages
- To mentally add and subtract tenths, and one-digit whole numbers and tenths.
- Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.

#### Week 2

**Fractions**

- To count in decimals
- To round decimals
- To order decimals
- Round decimals with two decimal places to the nearest whole number and to one decimal place
- Read, write, order and compare numbers with up to three decimal places

#### Week 3

**Measure**

- To solve problems involving converting units of measurement
- To use all four operations to solve problems involving length
- To solve problems involving mass
- To solve problems involving money
- To calculate fractions and percentages: The deposit on a £230 bed is 50% How much is the deposit?

#### Week 4

**Number and Place Value**

- To explore place value in fractions and decimals
- To review knowledge of place value
- To multiply decimal numbers by 10, 100 and 1000 (and explain how the place value changes)
- To divide decimal numbers by 10, 100 and 1000 (and explain how the place value changes)

#### Week 5

**Multiplication**

- To use mental multiplication
- To solve long multiplication calculations
- To multiply numbers up to four digits by a two digit number
- To find all the pairs of factors for any number to 100
- To establish whether a number up to 100 is prime

#### Week 6

**Division**

- To use mental division
- To review my knowledge of short division
- To review my knowledge of multiplication and division
- To divide any number by 10, 100, 1000
- To double all whole numbers and decimals knowing that halving is the inverse

#### Week 7

**Fractions**

- To solve problems with decimals
- To find equivalent fractions, decimals and percentages
- To review fractions, decimals and percentages
- To know that one quarter is half of one half. One eighth is half of one quarter. One sixth is half of one third. One tenth is half of one fifth, one twentieth is half of one tenth.
- To multiply and divide whole numbers by 10 and 100 (and to explain what happens to the place value)

#### Week 1

**Rules, Systems, Expectations**

#### Week 2

**Number and Place Value**

- To order and compare numbers up to 10 000 000
- To round any whole number
- To understand the place value of 7 digit numbers
- To multiply and divide whole numbers by 10, 100, 1000
- To round any whole number to the nearest multiple of 10, 100 or 1000

#### Week 3

**Addition**

- To use estimation to check answers to calculations
- To solve any additions with numbers to 2 decimal places
- To understand the order of operations using brackets
- To find the difference by counting up through the next multiple of 10, 100 or 1000
- To identify near doubles: 421 + 387 = 808

#### Week 4

**Subtraction**

- To solve any subtraction with numbers to 2 decimal places
- To use estimation to check answers to calculations
- To understand the order of operations using brackets
- To find the difference by counting up through the next multiple (Move into next week)
- To subtract four digit + multiples of 100 (move into next week)

#### Week 5

**Multiplication**

- To multiply multi digit numbers up to 4 digits by a two digit whole number
- To understand the order of operations using brackets
- To relate common factors to equivalent fractions
- Rapid recall of all multiplication tables up to 12 x 12
- To subtract four digit + multiples of 100
- Rapid recall of all multiplication tables up to 12 x 12

#### Week 6

**Division**

- Divide numbers up to 4 digits by 1 digit then 2 digit whole number using short division
- Interpret remainders as whole number remainders, fractions or rounding
- Divide numbers up to 4 digits by 2 digit whole number using long division
- Identify common factors and multiples
- To identify prime numbers

#### Week 7

**Fractions**

- To compare and order fractions
- To use common factors to simplify fractions and use common multiples to express fractions in the same denomination.
- To multiply and divide fractions.
- Identify the value of each digit in numbers given to three decimal places
- Multiply and divide numbers by 10, 100 and 1000

#### Week 1

**Measure**

- To calculate the area of triangles
- To calculate the area of parallelograms
- To prove that shapes with the same area can have different perimeters
- To know the equivalent of one thousandth of 1km, 1kg, 1 litre in m, g and ml respectively
- To solve problems involving measures: I cut 65m of a 3.5m rope How much is left?

#### Week 2

**Geometry**

- To visualise a 3-D shape from its net
- To compare and classify geometric shapes
- To express relationships algebraically
- Picturing shapes, moving, reflecting, rotating and growing.
- Picturing shapes, moving, reflecting, rotating and growing.

#### Week 3

**Number and Place Value**

- To extend place value to decimals
- To identify decimal numbers on a number line
- To identify negative integers
- To count in steps of powers of 10 up to 1 000 000
- Recognise prime numbers

#### Week 4

**Addition**

- To work systematically to solve a problem
- To add negative numbers
- To solve multi step word problems
- Add or subtract four digit multiples of 100
- Find what to add to a decimal with units

#### Week 5

**Subtraction**

- To subtract negative numbers
- To work systematically to solve a problem
- To round numbers accurately
- Subtract numbers with different numbers of digits
- Work out mentally one fact 4.97 – 1.58 and then state three other related facts

#### Week 6

**Multiplicaction**

- To multiply multi digit numbers up to 4 digits by a two digit whole number
- To multiply fractions
- To multiply decimals
- Rapid recall of all multiplication tables up to 12 x 12
- Rapid recall of all multiplication tables up to 12 x 12

#### Week 7

**Division**

- Divide numbers up to 4 digits by 1 digit then 2 digit whole number using short division
- Interpret remainders as whole number remainders, fractions or rounding
- Divide numbers up to 4 digits by 2 digit whole number using long division
- To divide any number by 10, 100, 1000
- To know doubles of numbers including decimals and corresponding halves

#### Week 8

**Fractions**

- To add and subtract fractions with denominators that are multiples of the same number
- To add and subtract fractions with different denominators and mixed numbers
- To multiply simple pairs of proper fractions
- To understand that finding one tenth is equivalent to dividing by 10
- To know that 33% and 67% are roughly one third and two thirds

#### Week 1

**Measure**

- To understand when to use a formula to calculate area/volume
- To solve problems involving money using the four operations
- To solve time duration problems using the four operations.
- To solve problems involving money
- To calculate time durations

#### Week 2

**Geometry**

- To identify angles and find missing angles.
- To identify angles and find missing angles.
- To recognise, describe and build simple 3D shapes
- Picturing shapes, moving, reflecting, rotating and growing

#### Week 3

**Statistics**

- To solve problems using line graphs
- To interpret pie charts
- To calculate and interpret the mean as the average
- To use mental addition and division skills to find the mean

#### Week 4

**Number and Place Value**

- To calculate intervals across zero
- To find the term-to-term rule
- To understand the place value of 7 digit numbers
- Count forwards and backwards with positive and negative whole numbers including through zero
- Know the value of every digit in six digit+ numbers

#### Week 5

**Addition**

- To solve any additions with numbers to 2 decimal places
- To use estimation to check answers to calculations
- To understand the order of operations using brackets
- Add or subtract the nearest multiple of 10, 100 or 1000
- Add or subtract a pair of decimal fractions each less than 1 and with up to 2 decimal places

#### Week 6

**Subtraction**

- To solve any subtraction with numbers to 2 decimal places
- To solve multi step word problems.
- To understand the order of operations using brackets
- Find what to add to a decimal with units, 10ths and 100ths to make the next higher whole number or 10th
- Subtract a pair of decimal fractions each less than 1 and with up to two decimal places

#### Week 1

**Multiplication**

- To multiply multi digit numbers up to 4 digits by a two digit whole number
- To understand the order of operations using brackets
- To relate common factors to equivalent fractions
- Know the squares of all numbers from 1×1 to 12×12
- To double decimal numbers

#### Week 2

**Division**

- Divide numbers up to 4 digits by 1 digit then 2 digit whole number using short division
- Interpret remainders as whole number remainders, fractions or rounding
- Divide numbers up to 4 digits by 2 digit whole number using long division
- Identify common factors & multiples
- To identify prime numbers

#### Week 3

**Fractions**

- To divide proper fractions by whole numbers
- To calculate decimal fraction equivalents
- To multiply one digit numbers with up to two decimal places by whole numbers
- Suggest a fraction that is greater than one quarter and less than one third
- Identify a number that is halfway between for example: 5 ¼ and 5 ½

#### Week 4

**Geometry**

- To identify angles and find missing angles
- To identify angles and find missing angles
- To recognise, describe and build simple 3D shapes
- To describe positions on the full coordinate grid (all four quadrants)
- Picturing shapes, moving, reflecting, rotating and growing

#### Week 5

**Statistics**

- To connect conversion from km to miles in measurement to its graphical representation
- To construct line graphs
- To connect angles and pie charts
- To count up and down a scale in intervals of any number
- To know the percentage equivalent to common fractions and vice versa

#### Week 6

**Number and Place Value**

- To order and compare numbers up to 10 000 000
- To round any whole number
- To understand the place value of 7 digit numbers
- Identify numbers with an odd number of factors (squares)
- Identify two digit numbers with only two factors (primes)

#### Week 1

**Addition**

- To work systematically to solve a problem
- To add negative numbers
- To solve multi step word problems
- Add or subtract four digit multiples of 100
- Find what to add to a decimal with units

#### Week 2

**Subtraction**

- To subtract negative numbers
- To work systematically to solve a problem
- To round numbers accurately
- To find the difference by counting up through the next multiple
- Subtract four digit+ multiples of 100

#### Week 3

**Multiplication**

- To multiply multi digit numbers up to 4 digits by a two digit whole number
- To multiply fractions
- To multiply decimals
- Identify common factors, multiples and prime numbers
- To double decimal numbers

#### Week 4

**SATs Week**

#### Week 5

**Division**

- Divide numbers up to 4 digits by 1 digit then 2 digit whole number using short division
- Interpret remainders as whole number remainders, fractions or rounding
- Divide numbers up to 4 digits by 2 digit whole number using long division
- To divide any number by 10, 100, 1000
- To know doubles of numbers including decimals and corresponding halves

#### Week 1

**Fractions**

- To divide proper fractions by whole numbers
- To calculate decimal fraction equivalents
- To multiply one digit numbers with up to two decimal places by whole numbers
- Suggest a fraction that is greater than one quarter and less than one third
- Identify a number that is halfway between for example: 5 ¼ and 5 ½

#### Week 2

**Number and Place Value**

- To identify negative integers
- To extend place value to decimals
- To identify decimal numbers on a number line
- To compare two numbers (which is less 4 thousands or 41 hundreds?)
- To make the biggest/ smallest integer possible with a range of digits (ie 8 3 0 7 6 0 2)

#### Week 3

**Rhos y Gwaliau**

#### Week 4

**Addition**

- To work systematically to solve a problem
- To add negative numbers
- To solve multi step word problems
- Add or subtract the nearest multiple of 10, 100 or 1000
- Add or subtract a pair of decimal fractions each less than 1 and with up to 2 decimal places

#### Week 5

**Subtraction**

- To solve any subtraction with numbers to 2 decimal places
- To use estimation to check answers to calculations
- To understand the order of operations using brackets
- Subtract numbers with different numbers of digits
- Work out mentally one fact 4.97 – 1.58 and then state three other related facts

#### Week 6

**Multiplication**

- To multiply multi digit numbers up to 4 digits by a two digit whole number
- To understand the order of operations using brackets
- To relate common factors to equivalent fractions
- To multiply by 15
- To multiply by 25

#### Week 7

**Division**

- Divide numbers up to 4 digits by 1 digit then 2 digit whole number using short division
- Interpret remainders as whole number remainders, fractions or rounding
- Divide numbers up to 4 digits by 2 digit whole number using long division
- Identify common factors and multiples
- To identify prime numbers