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Maths

We are determined to equip the pupils of St Thomas’ with a uniquely powerful set of tools to understand and change the world. These tools include logical reasoning, problem solving skills and the ability to think in abstract ways. We recognise that mathematics is integral to all aspects of life and with this in mind; we endeavour to ensure that our children develop a positive and enthusiastic attitude towards mathematics that will stay with them.

We use the National Curriculum for Mathematics as the basis of our mathematics programme. We are committed to ensuring that all pupils achieve mastery in the key concepts of mathematics, appropriate for their age group, in order that they make genuine progress and avoid gaps in their understanding that provide barriers to learning as they move through their education.

Research around metacognition underpins our mathematical teaching in school. Teachers use precise questioning in class to test conceptual and procedural knowledge and effective modelling of concepts allows our children to view the workings and thinking of the master at work. Children are then given adequate time to practice concepts with scaffolds and supports being withdrawn to ensure the children have opportunity to grapple with new learning in order for it to be committed to long term memory eventually.

A detailed, structured curriculum is mapped out across all phases, ensuring continuity and supporting transition. Effective mastery curricula in mathematics are designed in relatively small carefully sequenced steps, which must each be mastered before pupils move to the next stage. Fundamental skills and knowledge are secured first. This often entails focusing on curriculum content in considerable depth at early stages.

As a school, we are passionate about children acquiring the basic skills of mathematics that will be valuable to them as they move on to further education and beyond.

Reception

Autumn

Spring

Summer

In Number we will be learning:

  • To use some number names and number language spontaneously.
  • To use some number names accurately in play.
  • To recite numbers in order to 10.
  • To being to represent numbers using fingers, marks on the page or pictures.
  • To sometimes match numeral and quantity correctly.
  • To show an interest in representing numbers.
  • To show an interest in numerals in the environment.

 

In Shape, Space and Measure we will be learning:

  • 2D shape names and properties. We will look for shapes in our environment and show an interest in shapes by playing with them.
  • To being to talk about the shapes of everyday objects e.g ‘round’ and ‘tall’.
  • To make patterns.
  • To measure using non-standard units
  • To have a sense of time.

 

  • To identify and write numbers up to 10.
  • To add groups of objects.
  • To find one more and one less than a given number.
  • The names and properties of 3D shapes.
  • Positional language.
  • To understand, recognise and use money.
  • To halve and double.

 

  • To solve simple addition and subtraction sums using numbers to 20.
  • To apply our knowledge to problem solving.

 

 

Year 1

Autumn

Spring

Summer

  • Counting and representing numbers to 20 and beyond
  • Addition and subtraction using numbers to 20 and beyond
  • Doubling numbers
  • Recognising and naming some 2D shapes
  • Identifying one more and one less when given a number
  • Knowing and using number bonds to 10 including subtraction facts
  • Using the language of, equal to, more than, less than etc.
  • Counting on and back to 100
  • Forming numbers correctly
  • Counting in 2s, 5s and 10s
  • Position and direction; length
  • Addition and subtraction using money
  • Estimation
  • Knowing simple directions; right, left, forwards and backwards
  • Showing whole, ½, ¼ and ¾ turns.
  • Measuring and beginning to record length and height
  • Using objects to work out missing numbers
  • Partitioning numbers into Tens and Ones
  • Finding half of an amount and shape
  • Comparing, describing and solving practical problems for measurements of length and time

 

  • Saying the number one more or less and two more or less using a number line or a 100 grid, writing and saying 2-digit numbers and understanding them as some tens and some ones
  • Recalling number facts and using these to solve simple word problems
  • Using known number facts to add and subtract
  • Naming and identifying 3D shapes and their properties
  • Counting in 2s, 5s and 10s and identifying patterns
  • Telling the time to the nearest half hour
  • Addition and subtraction; counting on and back, sometimes crossing 10.
  • Understanding place value in two digit numbers and then in relation to money
  • Forming numbers correctly
  • Rehearsing the days of the week and months of the year
  • Estimating a number of objects within a range and counting by grouping into 10s or 5s
  • Finding half, quarter and three quarters of shapes
  • Developing an understanding of how long a minute, hour, day, week, etc. are

 

  • Consolidating understanding of 2-digit numbers, representing these in different ways, and partitioning into 10s and 1s
  • Revision of number facts and using these to solve additions and subtractions involving 1- and 2-digit numbers to 100
  • Doubling and halving numbers
  • Recognising halves and quarters of shapes.
  • Rehearsing place value in 2-digit numbers
  • Identifying and exploring patterns in multiples of 2, 5 and 10.
  • Relating counting in 2s to doubling and halving
  • Recognise, find and name ½, ¼ of shapes, objects or quantities
  • Telling the time to the quarter hour
  • Comparing and using uniform non-standard units to measure weight and capacity; information is recorded in block graphs for ease and clarity
  • Measuring lengths and heights, mass/weight, capacity and volume.
  • Recording information in pictograms and block graphs
  • Creating repeating patterns using 2D shapes
  • Recognising and using pounds and pence; solving money problems

 

 

Year 2

Autumn

Spring

Summer

  • Comparing and ordering numbers from 0-100.
  • Using place value in a two-digit number to solve problems.
  • Partitioning any two-digit number into different combinations of tens and ones, explaining their thinking verbally, in pictures or using apparatus.
  • Adding and subtracting any 2 two-digit numbers using an efficient strategy, explaining methods verbally, in pictures or using apparatus (e.g. 48 + 35; 72 – 17).
  • Recalling all number bonds to and within 10 and use these to reason with and calculate bonds to and within 20.
  • Counting forwards and backwards in steps of 2, 3 and 5 from 0 and in 10s from any number.
  • Recalling multiplication and division facts for 2, 5 and 10 and use them to solve simple problems, demonstrating an understanding of commutativity as necessary.
  • Naming and describing properties of 2-D and 3-D shapes, including number of sides, vertices, edges, faces and lines of symmetry.
  • Adding amounts of money and working out change.
  • Numbers to 100 – reciting, reading, writing.
  • Counting on/back in ones, twos and tens to 100.
  • Recognising the place value of each digit in a 2 digit number.
  • Appropriate standard units to measure length/ height (m/cm) in any direction; mass (kg/g); to the nearest appropriate unit, using rulers and scales.
  • The terms clockwise and anti-clockwise.

 

  • Reading scales in divisions of ones, twos, fives and tens.
  • Adding and subtracting any 2 two-digit numbers using an efficient strategy and with greater confidence, explaining methods verbally, in pictures or using apparatus (e.g. 48 + 35; 72 – 17).
  • Using all number bonds to and within 10 to reason with and calculate bonds to and within 20, recognising other associated additive relationships (e.g. If 7 + 3 = 10, then 17 + 3 = 20; if 7 – 3 = 4, then 17 – 3 = 14; leading to if 14 + 3 = 17, then 3 + 14 = 17, 17 – 14 = 3 and 17 – 3 = 14).
  • Recalling multiplication and division facts for 2, 5 and 10 and use them to solve problems, demonstrating an understanding of commutativity as necessary.
  • Identifying 1/4, 1/3, 1/2, 2/4, 3/4, of a number or shape and know that all parts must be equal parts of the whole.
  • Using different coins to make the same amount.
  • Reading the time on a clock to the nearest 15 minutes.
  • Naming, describing and comparing the properties of 2-D and 3-D shapes, including number of sides, vertices, edges, faces and lines of symmetry.
  • Working with numbers to 100 – reciting, reading and writing with greater accuracy.
  • Counting on/back in ones, twos, threes, fives and tens and relating to times tables.
  • Using < and >.
  • Recalling and using addition and subtraction facts to 10, 20 and 100 fluently.
  • Comparing, ordering, estimating and measuring volume, capacity and temperature.
  • Combining amounts of money to make a particular value. (50p, £1.00, £2.00)
  • Estimating and measuring length/ height (m/cm) in any direction, mass (kg/g) and capacity to the nearest appropriate unit, using rulers and scales.
  • Comparing and sequencing intervals of time.

 

  • Read scales in divisions of ones, twos, fives and tens.
  • Partition any two-digit number into different combinations of tens and ones, explaining their thinking verbally, in pictures or using apparatus.
  • Add and subtract any 2 two-digit numbers using an efficient strategy, explaining methods verbally, in pictures or using apparatus (e.g. 48 + 35; 72 – 17).
  • Recall multiplication and division facts for 2, 5 and 10 and use them to solve simple problems, demonstrating an understanding of commutativity as necessary.
  • Identify 1/4, 1/3, 1/2, 2/4, 3/4, of a number or shape and know that all parts must be equal parts of the whole.
  • Use a variety of different coins to make the same amount.
  • Read the time on a clock to the nearest 5 minutes.
  • Name and describe properties of 2-D and 3-D shapes, including number of sides, vertices, edges, faces and lines of symmetry. Compare the similarities and differences of shapes.
  • Identifying, representing and estimating numbers using different representations, including on an empty number line.
  • Using place value and number facts to solve problems.
  • Applying knowledge of mental and written methods through addition and subtraction problems involving numbers, quantities and measures by using objects and pictures. 
  • Recognising the inverse relationship between addition and subtraction and using this to check calculations and solve missing number problems.
  • Choosing and using appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/ g).
  • Recognising the equivalence of 2/4 and 1/2.

 

 

Year 3

AutumnSpringSummer

Place Value

  • Represent numbers to 1,000 and know the value of each digit
  • Count in hundreds
  • Recognise 100s, 10s and 1s
  • Find 1, 10, 100 more or less than a given number
  • Compare, read and write numbers up to 1000 in numerals and words
  • Order numbers up to 1000
  • Count in 50s
  • Number: Addition and Subtraction

  • Add and subtract numbers by a single digit, ten or hundred
  • Add and subtract numbers with up to 3-digits using the column method
  • Estimate and check using inverse

Number: Multiplication and Division

  • Use arrays to represent multiplication facts
  • Learn 2, 5, 10 and 3 times-table
  • Make equal groups - sharing
  • Make equal groups - grouping
  • Divide by 2, 5, 10 and 3

Number: Multiplication and Division

  • Consolidate 2-, 4- and 8-times tables
  • Multiply and divide 2-digits by 1-digit
  • Solve multiplication, simple division and missing number problems.

Measurement: Money

  • Count money (pence)
  • Count money (pounds)
  • Convert pounds and pence
  • Add and subtract money, giving change in £ and p

Statistics

  • Make tally charts
  • Draw and interpret pictograms (2, 5 and 10)
  • Interpret and present data using bar charts and tables
  • Solve one and two step questions using information in scaled bar charts, pictograms and tables

Measurement: Length and Perimeter

  • Measure length
  • Recognise and find equivalent lengths (m & cm, mm & cm)
  • Compare lengths
  • Add and subtract lengths
  • Measure perimeter
  • Calculate perimeter

Number: Fractions

  • Make equal parts
  • Recognise, name, write and find a half, a quarter and a third
  • Recognise unit fractions and non-unit fractions
  • Recognise and show equivalent fractions with the same denominator

Number: Fractions

  • Make a whole
  • Recognise tenths as decimals
  • Find fractions of a set of objects
  • Compare and order fractions up to a whole
  • Add and subtract fractions with the same denominator

Measurement: Time

  • Recognise O’clock, half past, quarter past and quarter to
  • Know the number of seconds in a minute, and the number of days in each month, year and leap year
  • Know how many hours are in a day
  • Tell the time to 5 minutes and to the minute
  • Tell the time using an analogue clock and 12-hour clock
  • Find and compare durations

Geometry: Properties of Shape

  • Identify right angles in shapes and those that are less than a right angle
  • Compare angles
  • Identify horizontal/ vertical lines and pairs of parallel and perpendicular lines
  • Recognise and describe 2-D shapes
  • Recognise, describe and make 3-D shapes

 

Measurement: Mass and Capacity

  • Compare and measure mass
  • Add and subtract mass
  • Compare volume
  • Measure and compare capacity
  • Add and subtract capacity

 

Year 4

Autumn

Spring

Summer

 

Number: Place Value

  • Represent numbers to 1,000
  • Recognise place value in a 4-digit number
  • Recognise 1000s, 100s, 10s and 1s
  • Round any number to the nearest 10 and 100
  • Count in 1,000s
  • Partition numbers up to 10,000
  • Find 1, 10, 100, 1000 more or less
  • Compare 4-digit numbers

Number: Addition and Subtraction

  • Add and subtract 1s, 10s, 100s and 1,000s
  • Use column method when adding and subtracting with up to 4 digits
  • Recognise and use efficient subtraction methods
  • Estimate answers and check using the inverse

Measurement: Length and Perimeter

  • Find equivalent lengths - m and cm
  • Find equivalent lengths - mm and cm
  • Add and subtract lengths
  • Measure and calculate perimeters (on a grid, of a rectangle or of a rectilinear shape) in centimetres and meters

Number: Multiplication and Division

  • Multiply by 10 and 100
  • Divide by 10 and 100
  • Multiply by 1 and 0
  • Divide by 1 and itself
  • Multiply and divide by 3, 6, 9 and 7

 

Number: Multiplication and Division

  • Learn 11 and 12 times-table
  • Multiply three single digits
  • Using formal written methods, multiply and divide 2 or 3-digit numbers by 1-digit

Measurement: Area

  • Find the area of straight-sided shapes by counting squares
  • Comparing area

Number: Fractions

  • Recognise unit and non-unit fractions
  • Count in tenths
  • Find common equivalent fractions
  • Recognise and find fractions greater than 1
  • Add 2 or more fractions

Number: Decimals

  • Recognise tenths and hundredths as decimals
  • Divide a 1-digit or 2-digit number by 10 or 100 to create a decimal number
  • Identify the value of the digits in a decimal answer

 

Number: Decimals

  • Make a whole
  • Compare and order decimals
  • Round decimals
  • Recognise and write decimal equivalents to ½ and ¼
  •  

Measurement: Money

  • Order and estimate money
  • Estimate money
  • Convert pounds and pence
  • Add and subtract money, giving change when necessary

Measurement: Time

  • Telling the time to 5 minutes and to the minute
  • Use a.m. and p.m.
  • Read, write and convert between analogue and digital clocks, including 24 hour
  • Solve problems involving conversion between hours to minutes, minutes to seconds, years to months and weeks to days

Statistics

  • Interpret and present discrete and continuous data in various ways, including bar charts and time graphs
  • Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
  • Begin to interpret line graphs

Geometry: Properties of Shape

  • Identify right angles in shapes
  • Identify and compare the sizes of acute and obtuse angle
  • Compare and order angles
  • Recognise and describe 2-D shapes
  • Compare and classify geometric shapes, including quadrilaterals and triangles based on properties and sizes
  • Understand horizontal and vertical
  • Identify lines of symmetry in 2D shapes in different orientations-complete drawings
  • Complete a symmetric figure
  • Geometry: Position and Direction

  • Describe position
  • Draw and move on a grid
  • Describe movement on a grid

 

 

Year 5

Autumn

Spring

Summer

Number: Place Value

  • Read, write and order numbers up to 1,000,000
  • Round any number up to 1,000,000 to nearest 10, 100, 1,000, 10,000 and 100,000
  • Count forwards and backwards in steps of 10s, 100s, 1,000s, 10,000s, and 100,000s
  • Compare and order numbers to one million
  • Count forwards and backwards through zero and use negative numbers in simple calculations
  • Demonstrate knowledge of Roman Numerals to 1,000 and be able to read years written in this way

Number: Addition and Subtraction

  • Using standard columns methods add two 4-digit numbers - one exchange and more than one exchange
  • Add whole numbers with more than 4 digits (using column method)
  • Subtract two 4-digit numbers - one exchange and more than one exchange
  • Subtract whole numbers with more than 4 digits (using column method)
  • Round to estimate and approximate
  • Use inverse operations (addition and subtraction)
  • Solve multi-step addition and subtraction problems

Statistics

  • Interpret charts
  • Compare, sum and find the difference
  • Read and interpret line graphs
  • Draw line graphs and use them to solve problems
  • Read and interpret tables (including two-way tables and timetables)

Number: Multiplication and Division

  • Understand the terms: factor, factor pairs, composite numbers, prime and multiple
  • Recognise and find common factors, prime numbers, square numbers and cube numbers
  • Multiply by 10, 100 and 1000
  • Divide by 10, 100 and 1000
  • Recognise and find multiples of 10, 100 and 1,000

Measurement: Perimeter and Area

  • Measure perimeter on a grid, of rectangles and rectilinear shapes
  • Calculate perimeter
  • Find the area of shapes by counting squares
  • Find the areas of rectangles, compound shapes and irregular shapes

Number: Multiplication and Division

  • Using formal written methods, multiply up to 4- digits by both one- and two-digit numbers
  • Using short division, divide up to four digits by one digit
  • Divide with remainders and be able to explain remainders.

Number: Fractions

  • Be able to explain what a fraction is
  • Recognise and find equivalent fractions
  • Recognise and find fractions greater than 1
  • Recognise mixed numbers and improper fractions and be able to convert from one to the other.
  • Compare and order fractions where denominators are multiples of the same number.
  • Add and subtract fractions with a common denominator
  • Multiply proper fractions and mixed numbers by a whole number

Number: Decimals and Percentages

  • Say, read and write decimals up to 2 d.p.
  • Recognise and write decimals as fractions (1)
  • Understand thousandths
  • Recognise and write thousandths as decimals
  • Round decimals with two decimal places to the nearest whole number and also to one decimal place
  • Order and compare decimals
  • Understand percentages
  • Recognise and write percentages as fractions and decimals
  • Find equivalent fractions, decimals and percentages

Number: Decimals

  • Add and subtract decimals within 1
  • Add decimals – crossing the whole
  • Add decimals with the same/ different number of decimal places
  • Subtract decimals with the same/ different number of decimal places
  • Add and subtract wholes and decimals
  • Multiply decimals by 10, 100 and 1,000
  • Divide decimals by 10, 100 and 1,000

Geometry: Properties of Shape

  • Identify, compare and order angles
  • Measure angles in degrees
  • Measure with a protractor
  • Draw lines and angles accurately
  • Calculating angles on a straight line and around a point
  • Calculating lengths and angles in shapes
  • Know 360 degrees is a whole turn
  • Match a net to its 3D shape

Geometry: Position and Direction

  • Describe position following a reflection or translation
  • Find and draw lines of symmetry
  • Complete a symmetric figure

Measurement: Converting Units

  • Convert between similar units of metric measure
  • Convert from metric to imperial units (giving the rough equivalent)

Measurement: Volume

  • Compare and estimate volume
  • Estimate capacity

 

Year 6

AutumnSpringSummer

 

Number: Place Value

  • Read, write, order and compare numbers up to ten million and know the value of each digit
  • Round numbers to 10, 100 and 1,000
  • Use negative numbers in context and calculate intervals across zero

Number: Four Operations

  • Using formal written methods, add and subtract whole numbers with more than 4 digits
  • Recognise and use inverse operations (addition and subtraction)
  • Solve multi-step addition and subtraction problems
  • Use both long and short multiplication methods of multiplication with numbers up to 4-digits
  • Use long division to divide numbers with up to 4-digits by a 2-digit whole number and interpret any remainders appropriately

Number: Fractions

  • Find equivalent fractions
  • Simplify, compare and order fractions (including fractions more than one)
  • Recognise mixed numbers and improper fractions and be able to convert from one to the other
  • Add and subtract fractions with different denominators and mixed numbers
  • Multiply pairs of fractions and write the answer in its simplest form
  • Divide fractions by integers

Geometry: Position and Direction

Translate and reflect shapes using all four quadrants

Number: Decimals

  • Multiply and divide by 10, 100 and 1,000. Know the value of each digit to three decimal places.
  • Multiply one-digit numbers with up to two decimals places by integers
  • Use written division methods where the answer has two decimal places
  • Recognise and write decimals as fractions
  • Convert fractions to decimals

Number: Percentages

  • Understand percentages
  • Match fractions to decimals and percentages
  • Order fractions, decimals and percentages
  • Find the percentage of an amount

Number: Algebra

  • Express unknown numbers using symbols or letters
  • Find pairs of numbers that satisfy an equation with two unknowns
  • Use simple formulae expressed in words
  • Know when to use the formulae for area and volume of shapes
  • Generate and describe linear number sequences
  • Solve one-step and two-step equations

Measurement: Converting units

  • Convert between units of measure: weight, distance and time.
  • Calculate with metric measures
  • Imperial measures

Measurement: Perimeter, Area & Volume

  • Recognise that shapes with the same area can have a different perimeter and vice versa
  • Calculate the area of a triangle and a parallelogram
  • Estimate, calculate and compare the volume of cubes and cuboids using standard units

 

 

Statistics

  • Read, interpret and draw line graphs
  • Read, interpret and draw pie charts
  • Use line graphs and pie charts to solve problems
  • Know how and when to calculate the averages of a set of data.

 

Geometry: Properties of Shape

  • Recognise angles around a point, on a straight line or are vertically opposite
  • Find missing angles of triangles, quadrilaterals and polygons
  • Draw shapes accurately
  • Draw nets of 3-D shapes
  •  

Number: Ratio

  • Calculating ratio
  • Calculate scale factors
  • Reduce ratios to their simplest forms
  • Solve ratio and proportion problems

 

Revision:

  • Calculate fractions
  • Estimate fractions
  • Recognise when to find the common denominator
  • Calculate decimals and use them to solve problems (money)
  • Solve multi-step problems

 

 

 

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