Maths
Early Years Maths
By the end of their Reception Year the majority of children will have achieved their Early Learning Goals. Some children will be working towards the expectations and some beyond.
Early Learning Goal for Number
Count reliably with numbers from 1 to 20, place them in order and say which number is 1 more or 1 less than a given number. Using quantities and objects, they add and subtract two singledigit numbers and count on or back to find the answer. They solve problems, including doubling, halving and sharing.
Early Learning Goal for Shape, Space and Measure
Children use everyday language to talk about size, weight, capacity, position, distance, time and money to compare quantities and objects and describe patterns. They explore characteristics of everyday objects and shapes and use mathematical language to describe them.
Early Years Maths Workshops
We were delighted that so many Reception parents were able to attend our Maths Workshops. Parents found the information informative and enjoyed the opportunity to work with their child.
Click on the links below to access the presentations from the workshops.
For your information, we have provided an overview of the Year One and Two Maths curriculum document. It is divided into year groups and terms.
Year One Maths Curriculum Overview Term 1 and 2
Oral and Mental calculation
 Recite numbers to 100 forwards and backwards from 0 or 1
 Recite numbers to 10 as first, second , third
 Read and write numbers to at least 20
 Spell numbers to 10
 Order numbers to at least 20
 Compare numbers within 20
 Find 1 more/ 1 less of any number to 1 20
 Find numbers between 2 given numbers
 Count on or back in ones from a given number within at least 0 20
 Identify 2D shapes in different orientations and begin to describe them
 Identify 3D shapes in different orientations and begin to describe them
 Compare and sort common 2D and 3D shapes and everyday objects
 Describe position, direction and movement

Week

Main focus of teaching


1

Number and place value to solve problems
 Count up to at least 20 objects accurately
 Order numbers to at least 20
 · Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
 Read and write numbers from 1 to 20 in numerals and be to write them in words.
 Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.
 Model 1 more /1 less (before /after) given number to at least 20
 Given a number, identify one more and one less.
 Solve practical problems involving all of the above

2

Addition within 10 to solve problems
 Partition numbers 310 into two sets and recombine
 Model + and = signs
 Model reading , writing and interpreting addition sentences
 Add 1, 2, 3 ,4 or 5 to number less than 6 by counting on
 Add 1 or 2 to numbers 68 by counting on
 Add zero to numbers
 Use inverse to check answers to calculations
 Solve simple onestep problems that involve addition and subtraction, using concrete objects and pictorial representations

3

Measures Money to solve problems
 ·Recognise coinage 1 p and 2 p
 ·Pay for items using 1 p and 2 p coins
 ·Add combinations of 1 p and 2 p coins to make 10p.
 ·Solve simple onestep problems that involve addition and subtraction, using coins, objects and pictorial representations
 ·Use inverse to check answers to calculations

4

Measureslength and height to solve problems
 ·Estimate and measure lengths and heights using nonstandard but uniform unit
 ·Compare and order lengths and heights
 ·Compare and describe lengths and heights (for example, long/short, longer/shorter, tall/short, double/half).
 ·Measure and begin to record lengths and heights, using nonstandard measures within the range of numbers the children understand
 ·Solve practical problems for lengths and heights

5

Addition and subtraction within 10 to solve problems
 ·Model +, – and = signs
 ·Model reading , writing and interpreting subtraction sentences (take away )
 ·Subtract 1, 2, 3 ,4 or 5 from a number up to 10 by counting back on a number track
 ·Subtract zero
 ·Represent and use number bonds and related subtraction facts within 10
 · Use inverse to check answers to calculations
 ·Solve simple onestep problems that involve addition and subtraction within 10, using concrete objects and pictorial representations,
 ·Solve missing number problems, such as 7 = □ – 5.

6

Number and place value 020 to solve problems
 ·Order numbers 120 on track and bead string
 ·Make teen numbers with apparatus
 ·Partition teen numbers in 10 and rest
 ·Compare 2 numberswhich is more or less?
 ·Explore reading ,writing and ordering “teen “ numbers
 Begin to recognise the place value of numbers beyond 20 (tens and ones).
 Solve problems involving ordering and comparing numbers

7

Addition and subtractions bonds to 10 to solve problems
 Partition 3 into two groups and model recording the resulting addition and related subtraction number sentences 3+0=3,2+1=3,1+2=3 and 30=3, 31=2,32=1
 Repeat with other numbers to 10
 Use inverse to check answers to calculations
 Solve missing number problems such as 3 = □ – 2.

8

Shape, Position and direction to solve problems
 Recognise ,visualise, name and describe squares, circles, rectangles and triangles
 Vary size and orientation of shapes
 Make pictures with shapes
 Follow and then devise repeating patterns with shapes
Practical activities linked to position

9

Addition and subtraction within 20 to solve problems
 Order numbers to 20
 Find 1 more /1 less for numbers to 20
 Find 2 more /2 less for numbers to 20
 Use inverse to check answers to calculations
 Solve problems practically using addition and subtraction bonds and facts up to 10 including missing number problems

10

Multiplication and division and fractions to solve problems
 Practical grouping and sharing of quantities to 20
 Practical doubling 15
 Practical sharing (halving) numbers to 10.

11

Assess and review

Year One Maths Curriculum Overview Term 3 and 4
Oral and Mental calculation
 Recite numbers to 100 forwards and backwards from 0 or 1
 Recite numbers to 10 as first, second , third
 Read and write numbers to 100 in numerals
 Read and write numbers 20 in words
 Recite multiples of 10 to 100
 Order random numbers to 100
 Compare numbers within 100
 Find 1 more/ 1 less of any number to 1 99
 Find numbers between 2 given numbers
 Count on or back from a given number with 100
 Recite days of the week
 Recall addition and subtraction facts for each number up to 10.
 Recall doubles of numbers to 10 + 10
 Recall halves of even numbers to 20.
 Name 2D shapes and describe them

Week

Main focus of teaching


1

Number and place value to solve problems
 Count up to 100 objects accurately
 Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
 Order numbers to 100 on a track /number line
 Model 1 more /1 less (before /after) and 10 more /10 less given number to 100
 Place other numbers onto washing line marked with multiples of 5 and 10
 Identify missing numbers on washing line/number line
 Reinforce reading ,writing and ordering “teen “ numbers
 Read and write numbers from 1 to 20 in numerals and words.
 Begin to recognise the place value of numbers beyond 20 (tens and ones).
 Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.
 Solve problems and practical problems involving all of the above


2

Addition within 20
 Model + and = signs
 Model reading , writing and interpreting addition sentences
 Add by counting on from the larger number within 20
 Add 2 or more 1 digit numbers within 20
 Represent –with concrete apparatus and use number bonds within 20.
 Add onedigit and twodigit numbers to 20 including zero (using concrete objects and/or pictorial representations)
 Use inverse to check answers to calculations
 Solve problems involving addition and subtraction


3

Measures Money to solve problems
 Recognise coinage 1 p, 2 p, 5 p and 10 p
 Count in multiples of, twos, fives and tens.
 Pay for items using 1 p, 2 p, 5 p and 10 p coins
 Add combinations of known coins to make 20 p
 Model giving change from 20p using coins and a number line
 Solve problems involving money


4

Measuresmass or weight and time to solve problems
MASS/WEIGHT
 ·Estimate and measure mass and weight using nonstandard but uniform units within children’s range of known numbers
 ·Compare and order mass and weight
 ·Describe mass/weight for example, heavy/light, heavier than, lighter than.
 ·Solve practical problems for masses/weights.
TIME
 ·Tell the time to the hour and half past the hour
 ·Draw the hands on a given clock face to show these times.
 ·Compare, describe and solve practical problems for time (quicker, slower, earlier, and later).
 ·Sequence events
 ·Solve problems involving time


5

Addition and subtraction within 20 to solve problems
 Model – and = signs
 Model reading , writing and interpreting subtraction sentences (difference )
 Find the difference practically by comparing two towers or lengths
 Add and subtract onedigit and twodigit numbers to 20 including zero (using concrete objects and/or pictorial representations)
 Use inverse to check answers to calculations
 Solve problems involving addition and subtraction within 20


6

Number and place value to solve problems
 Order numbers 1100 on track and bead string
 Partition teen numbers in 10 and rest
 Partition other two –digit numbers into tens and ones
 Compare 2 numbers between 0 and 100 which is more or less?
 Solve problem involving ordering numbers or more/less


7

Addition and subtractions bonds to 10 and to 20 to solve problems
 Link bonds for 20 to bonds for 10
 Partition 13 to find all the addition pairs that total 13 0+13 , 1+12 etc
 Partition 13 into two groups and model recording the resulting addition and related subtraction number sentences 6+5=13, 5+6=13 , 136=5, 135=6
 Solve missing number problems 13+?= 5
 Repeat with other numbers to 20
 Add and subtract onedigit and twodigit numbers to 20 including zero (using concrete objects and/or pictorial representations)
 Use inverse to check answers to calculations
 Solve problems involving addition and subtraction within 20 including missing number problems


8

Shape, Position and direction to solve problems
 Recognise ,visualise, name and describe 3D shapes cuboids , cubes , pyramids and spheres
 Vary size and orientation of shapes
 Make models with shapes
 Follow and then devise repeating patterns with shapes
 Practical activities linked to position
 Practical activities linked to whole and half turns
 Solve problems involving shape
 Slove problems involving position and /or direction.



9

Fractions to solve problems
 Recognise , find and name a half of an object , number , shape or quantity practically
 Recall and use doubles of all numbers to 10 and corresponding halves
 Solve onestep problems involving fractions by calculating the answer using concrete objects and pictorial representations


10

Multiplication and division to solve problems
 Count in 2s, 5s and 10 s from zero
 Use practical apparatus to show groups of 2, 5, and 10
 Share and group quantities practically
 Solve onestep problems involving multiplication by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.
 Solve onestep problems involving division by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher. Understand that a fraction can describe part of a whole
 Use inverse to check the answers to calculations .


11

Assess and review


Year One Maths Curriculum Overview Term 5 and 6
Oral and Mental calculation
 Recite numbers to 100 forwards and backwards from any number
 Read and write numbers to 100 in numerals
 Read and write numbers to 20 in words
 Order numbers to 100
 Compare numbers within 100
 Count on and back in 1s from any one or twodigit number including across 100
 Count in multiples of 2, 5 and 10
 Begin to recall multiplication facts for the 2, 5 and 10 times tables
 Find 1 more/ 1 less or 10 more / 10 less of any number to 1 100
 Find numbers between 2 given numbers
 Recall addition and subtraction facts for each number up to 20.
 Recall doubles of numbers to 10 + 10
 find doubles +1
 Recall halves of even numbers to 20.
 Add a single digit number to any number up to 20.
 Take away a single digit number from any number up to 20.
 Recite days of the week and months of the year
 Tell the time on an analogue clock to the hour and half past the hour.
 Revise the names and properties of 2D and 3D shapes

Week

Main focus of teaching


1

Number and place value to solve problems
 Continue to count up to 100 objects accurately
 Place two digit numbers onto washing line marked with multiples of 5 and 10 to and across 100
 Identify missing numbers to and across 100 on washing line/number line
 Partition two –digit numbers into tens and ones and begin to recognise place value (tens and ones).
 Reinforce reading, writing and ordering “teen “numbers
 Identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least.
 Solve practical problems involving all of the above.


2

Addition within 20 to solve problems
 Model reading , writing and interpreting addition sentences
 Add 2 or more one numbers to 20
 Add by counting on from the larger number
 Solve missing number problems using number bonds within 20. such as 8 = □ + 2
 Add onedigit and twodigit numbers to 20, including zero using concrete objects and pictorial representations
 Use inverse to check the answers to calculations
 Solve simple onestep problems that involve addition using concrete objects and pictorial representations


3

Measures Money to solve problems
 Recognise all coinage
 Pay for items using a mixture of coinage
 Add combinations of known silver coins to make 100 p /£1
 Model giving change from 50p
 Solve problems involving money


4

Measurescapacity and time to solve problems
CAPACITY
 Estimate and measure capacity using nonstandard but uniform unit using number within the children experince
 Compare and order capacity).
 Compare, describe and solve practical problems with capacity/volume (full/empty, more than, less than, quarter)
TIME
 Tell the time to the hour and half past the hour
 Draw hands on a given clock face to show known times
 Compare, describe and solve practical problems for time (quicker, slower, earlier, later).
 Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening.
 use language relating to dates, including days of the week, weeks, months and years
 Solve problems involving time.


5

Subtraction within 20 to solve problems
 Model reading , writing and interpreting subtraction sentences ( take away and difference )
 Solve missing number problems using number bonds and related subtraction facts such as 13 = □ – 2
 Subtract onedigit and twodigit numbers to 20, including zero using” take away “ to find out how many are left (using concrete objects and pictorial representations).
 Subtract onedigit and twodigit numbers to 20 using ‘difference’ as finding how many more to make (using concrete objects and pictorial representations).
 Use inverse to check the answers to calculations
 Solve simple onestep problems that involve subtraction, using concrete objects and pictorial representations.


6

Multiplication and Division to solve problems
 Count in 2s, 5s and 10s
 Link counting in twos to doubling
 Link dividing by two to halving
 Make arrays or patterns to show “groups of “such as 2 lots of 3 and count in groups (multiples) not ones
 Group and share small quantities
 Use inverse to check the answers to calculations
 Solve onestep problems involving multiplication and division by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.


7

Addition and subtractions bonds to 10 and to 20 to solve problems
 Explore inverse practically
 Link addition and subtraction bonds for 10 to those for 20
 Re visit the four related addition and subtraction facts for every number 220
 Solve problems practically using addition and subtraction bonds and facts up to 10 and then 20
 Use inverse to check the answers to calculations
 Solve problems involving multiplication and division including finding missing numbers


8

Fractions to solve problems
 recognise , find and name a half as one of two equal parts of an object , number , shape or quantity
 Recognise , find and name a quarter as one of four equal parts of an object , number , shape or quantity
 Understand that a fraction can describe part of a whole.
 Understand that a unit fraction ½ or ¼ represents one equal part of a whole.
 Solve practical problems involving halves and quarters using concrete objects and pictorial representations.


9

Properties of Shape and position and direction to solve problems
 Recognise and name common 2D shapes, including rectangles (including squares), circles and triangles.
 Recognise and name common 3D shapes, including cuboids (including cubes), pyramids and spheres.
 Solve practical problems involving shapes using concrete objects and/or pictorial representations
 Describe position, directions and movements, including half, quarter and threequarter turns.
 Solve practical problems involving position or direction, by following or giving instructions


10

Assess and review


YEAR TWO MATHS CURRICULUM OVERVIEW  TERMS 1 AND 2
Oral and Mental calculation
 Count to and beyond 100 starting from any number
 Read and write numbers to at least 50 in numerals
 Read and write numbers to 30 in words
 Order a set of random numbers to at least 50
 Find 1 more/1 less of any number to at least 50
 Find 10 more / 10 less of any number to at least within 50
 Count on and back in 1s from any one or twodigit number.
 Count on and back in multiples of 2, 5 and 10.
 Count in multiples of 2,5 and 10 from 0 , forwards and backwards
 Recall addition and subtraction facts for each number up to at least 10.
 Add a single digit number to any 2digit number.
 Take away a single digit number from 2digit number.
 Tell the time using o’clock, half past, quarter past and quarter to.
 Recognise and count amounts of money.
 Revise names and properties of 2D and 3D shapes

Week

Main focus of teaching


Counting,
partitioning
and
calculating (2 weeks)

 Present solutions to puzzles and problems in an organised way; explain decisions, methods and results in pictorial, spoken or written form, using mathematical language and number sentence
 Read and write twodigit numbers in figures and words; describe and extend number sequences and recognise odd and even numbers
 Count up to 100 objects by grouping them and counting in tens, fives or twos; explain what each digit in a twodigit number represents, including numbers where 0 is a place holder; partition twodigit numbers in different ways, including into multiples of 10 and 1
 Order twodigit numbers and position them on a number line; use the greater than (>) and less than (
 Estimate a number of objects; round twodigit numbers to the nearest 10
 Add or subtract mentally a onedigit number or a multiple of 10 to or from any twodigit number; use practical and informal written methods to add and subtract twodigit numbers
 Understand that subtraction is the inverse of addition and vice versa; use this to derive and record related addition and subtraction number sentences

Securing
number facts,
understanding
shape(3 weeks)

 Describe patterns and relationships involving numbers or shapes, make predictions and test these with examples
 Solve problems involving addition, subtraction, in contexts of numbers, measures or money
 Derive and recall all addition and subtraction facts for each number to at least 10, begin to recognise all pairs with totals to 20 and all pairs of multiples of 10 with totals up to 100
 Use knowledge of number facts and operations to estimate and check answers to calculations
 Visualise common 2D shapes; identify shapes from pictures of them in different positions and orientations; sort, make and describe shapes, referring to their properties

Handling
data and
measures (2 weeks)

 Follow a line of enquiry; answer questions by choosing and using suitable equipment and selecting, organising and presenting information in lists, tables and simple diagrams
 Answer a question by collecting and recording data in lists and tables; represent the data as block graphs or pictograms to show results; use ICT to organise and present data
 Use lists, tables and diagrams to sort objects; explain choices using appropriate language, including ‘not'
 Estimate, compare and measure lengths, choosing and using standard units (m, cm) and suitable measuring instruments
 Read the numbered divisions on a scale and interpret the divisions between them (e.g. on a scale from 0 to 25 with intervals of 1 shown but only the divisions 0, 5, 10, 15 and 20 numbered); use a ruler to draw and measure lines to the nearest centimetre

Calculating,
measuring and
understanding
shape (2 weeks)

 Solve problems involving addition, subtraction, multiplication or division in contexts of numbers, measures or pounds and pence.
 Add or subtract mentally a one digit number or a multiple of 10 to or from any twodigit number; use practical and informal written methods to add and subtract two digit numbers
 Use units of time (seconds, minutes, hours, days) and know the relationships between them; read the time to the quarter hour; identify time intervals
 Follow and give instructions involving position, direction and movement.

Securing
number facts,
relationships
and calculating (3 weeks)

 Identify and record the information or calculation needed to solve a puzzle or problem; carry out the steps or calculations and check the solution in the context of the problem
 Represent repeated addition and arrays as multiplication, and sharing and repeated subtraction (grouping) as division; use practical and informal written methods and related vocabulary to support multiplication and division,
 Use the symbols +, , x, and ÷ to record and interpret number sentences involving all four operations; calculate the value of an unknown in a number sentence (e.g. 2 □ 6 = 12, 30  □ = 24)
 Understand that halving is the inverse of doubling and derive and recall doubles of all numbers to 20, and the corresponding halves.
 Begin to derive and recall multiplication facts for the 2, 5 and 10 timestables and the related division facts; recognise multiples of 2, 5 and 10
 Find one half and one quarter of shapes and sets of objects.
