Maths

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.

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

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.

Autumn

Spring

Summer

Place Value and Numbers:

• Count from 0 in multiples of 4, 8, 50 and 100
• Read and write numbers to at least 1000 in numerals and in words/ Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
• Reading and writing numbers to at least up to 1000 in numerals and words.
• Comparing, ordering and understanding place value of 2 and 3 digit numbers.
• Compare and order numbers up to 1000
• Find 10 or 100 more or less than a given number
• Identify, represent and estimate numbers using different representations.
• Solve number problems and practical problems involving these ideas
• Know the value of each digit in a 3 digit number.
• Add and subtract numbers mentally, including:- a three-digit number and / ones /- a three-digit number and tens /- a three-digit number and hundreds
• Add and subtract numbers with up to three digits, using the formal written methods of columnar addition and subtraction
• Add and subtract amounts of money to give change, using both £ and p in practical contexts.
• Estimating and checking calculations
• Estimate the answer to a calculation and use inverse operations to check answers
• Solving addition and subtraction problems including those with missing numbers
• Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction

Multiplication:

• Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
• Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, progressing to efficient written methods.
• Solve problems, including missing number problems, involving multiplication and division, including integer scaling problems and correspondence problems in which n objects are connected to m objects.

Measurement:

• Measure, add and subtract lengths (m/cm/mm) / Compare lengths (m/cm/mm)

Numbers:

• Counting on from zero in 4s, 8s, 50 and 100s.

•    Count up and down in tenths.
•    Recognise the link to division by 10.
•    Add and subtract fractions with the same denominator up to one whole.
•    Recognise and show, using diagrams, equivalent fractions with the same denominator.
•    Recognise, name, write and find 1/3,1/4, 2/4 and 3/4 of a length, shape set of   objects or quantity.

Multiplication:

• Revising X3 and learn X4 tables and learning X8 relating to division facts.

• Solving multiplication, simple division and missing number problems.

• Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, progressing to efficient written methods.
• Solve problems, including missing number problems, involving multiplication and division, including integer scaling problems and correspondence problems in which n objects are connected to m objects.

Measurement:

• Measuring the perimeter of simple 2D shapes.
• Telling the time from analogue, 12 hour clocks (recognising Roman numerals).
•    Recognise Roman numerals on a clock.
•    Be able to work out the amount of time taken for particular events.
•    Know the number of seconds in a minute, and the number of days in each month, year and leap year.
• Estimate and read time to the nearest minute.
• Compare time in seconds, minutes and hours.
• Be able to use o’clock, a.m., p.m., morning, afternoon, noon and midnight.
• Identifying symmetry linked to Art – including repeated patterns and tessellations.
• Measuring and weighing, fractions of amounts linked to food preparation.

Geometry:

• Draw 2D and make 3D shapes using modelling materials.
• Recognise described 3D shapes in different orientations.

Statistics:

• Interpret and present data using bar charts, pictograms and tables. (Link to Science)

Numbers:

• Add and subtract numbers mentally, including:- a three-digit number and / ones /- a three-digit number and tens /- a three-digit number and hundreds
• Add and subtract numbers with up to three digits, using the formal written methods of columnar addition and subtraction
• Add and subtract amounts of money to give change, using both £ and p in
• Estimate the answer to a calculation and use inverse operations to check answers
• Solving addition and subtraction problems including those with missing numbers

Multiplication:

• Revise and recall and consolidate the use of multiplication and division facts for the 3, 4 and 8 multiplication tables
• Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, progressing to efficient written methods.
• Solve problems, including missing number problems, involving multiplication and division, including integer scaling problems and correspondence problems in which n objects are connected to m objects.

Measurement:

• Measure, add and subtract mass (kg/g) / Compare mass (kg/g)
• Measure the perimeter of simple 2-D shapes
• Measure, add and subtract volume/capacity (l/ml) Compare volume/capacity (l/ml)

Geometry:

• Draw 2D and make 3D shapes using modelling materials.
• Recognise described 3D shapes in different orientations.
• Recognise that two right angles make a half turn, three make a ¾ turn and four make a complete turn.
• Identify right angles and those that are less than or more than a right angle.
• Identify horizontal/ vertical lines and pairs of perpendicular and parallel lines.

Statistics:

• Interpret and present data using bar charts, pictograms and tables.

Solve one and two step questions using information presented in scaled bar charts, pictograms and tables.

Autumn

Spring

Summer

• Recall all times tables to 12 x 12 and their linked division facts.  Mentally work with factor pairs 144.
• Count in multiples of 6, 7, 9, 25, 1000
• Order and compare numbers beyond 1000, recognise place value in 4 digit numbers.
• To round any number to the nearest 10, 100 or 1000.
• Use the column method when adding or subtracting numbers with up to 4 digits.
• Solve two-step problems using the 4 main operations.
• Learn to count back through 0 to include negative numbers.
• When multiplying 2 or 3-digit numbers by 1-digit, use formal written methods (grid and ladder).
• When dividing 2 or 3-digit numbers by 1-digit, use formal written methods (chunking method)
• Divide a 1 or 2-digit number by 10 or 100 to create a decimal number. Identify the value of the digits in the answer.
• Find the area of straight-sided shapes using your knowledge of multiplication.

• Relating fraction notation to division. Find common equivalent fractions.
• Dividing a 1 or 2-digit number by 10 or 100 to create a decimal number. Identify the value of the digits in the answer.
• Counting up/down in hundredths, know that 1/100 is the same as 1/10/10.
• Recognising and showing, using diagrams, families of common equivalent fractions.
• Rounding decimals with one decimal place to the nearest whole number. Compare and order numbers with up to two decimal places.
• Recognising and writing decimal equivalents to ¼, ½, ¾ and any number of tenths and hundredths.
• Solve problems that involve converting between different units of measure, including money and time to two decimal places.

• Find the area of straight-sided shapes by counting squares. Measure and calculate perimeters in centimetres and metres.
• Identify and compare the sizes of acute and obtuse angles. Identify lines of symmetry in 2D shapes in different orientations. Complete drawings.
• Compare and classify geometric shapes, including quadrilaterals and triangles based on properties and sizes.
• Plot specified points and draw sides to complete a given polygon.
• Describe positions as coordinates in the first quadrant. Describe simple translation.
• 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.
• Consolidate knowledge of the four operations and the different methods we can use.

Autumn

Spring

Summer

• Consolidating methods of calculation and considering the most effective methods.
• Developing reasoning skills in order to explain mathematical work.
• Using accurate mathematical vocabulary.

• Reading, writing and ordering numbers up to 1,000,000 and know the value of each digit.
• Counting forwards and backwards in steps of 100, 1000, 10,000 to 1,000,000 from any number.
• Being able to count forwards and backwards through zero and use negative numbers in simple calculations.
• Solving multi-step problems, choosing the correct operations and explain your methods.
• Solving problems that involve converting between units of time.
• Understanding the terms: factor, factor pairs, prime and multiple.
• Using times tables and related division facts.
• Comparing and ordering fractions where denominators are multiples of the same number.
• Finding equivalent fractions.
• Using understanding of place value to multiply and divide whole and decimal numbers by 10, 100 and 1000.
• Using formal written methods to multiply up to 4 digits by 1 digit numbers.
• Using short division to divide up to 4-digit by 1-digit numbers, explaining remainders.
• Drawing and measuring angles in degrees.
• Estimating and comparing obtuse, acute and reflex angles.
• Understanding composite shapes.
• Knowing that 360 is a whole turn.
• Rounding any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000, 100,000.
• Rounding including decimals with two decimal places to the nearest whole number and also to one decimal place.
• Practising to mentally add and subtract large numbers (10,000).
• Ordering whole numbers up to six digits and decimals with up to three decimal places.

• Using formal written methods, multiply up to 4 digits by both one and two digit numbers.
• Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.
• Using times tables and related division facts.
• Comparing and ordering fractions where denominators are multiples of the same number.
• Finding equivalent fractions.
• Using understanding of place value to multiply and divide whole and decimal numbers by 10, 100 and 1000.
• Using short division, divide up to four digits by one digit and be able to explain any remainders.
• Compare/order fractions where denominators are multiples of the same number. 
• Find equivalent fractions.
• Recognise mixed numbers and improper fractions and be able to convert from one to the other. 
• Be able to add/subtract fractions with a common denominator. Use this knowledge in problem solving.
• Multiply proper fractions and mixed numbers by a whole number.
• Say, read and write decimal numbers, fractions and percentages. Use the relationship to solve problems.

Say, read and write decimal fractions and related tenths, hundredths and thousandths accurately. 

• When solving multi-step problems, choose the correct operations and explain methods.
• Round answers appropriately.
• Using formal written methods, multiply up to 4 digits by both one and two digit numbers.
• Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.
• Solve problems that involve converting between units of time, including time lapse.
• Draw and measure angles in degrees.
• Estimate and compare acute, obtuse and reflex angles.
• Know that 360˚ is a whole turn.
• Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. 
• Match a net to its 3D shape.
• Describe the position of a shape following a reflection or translation. 

Autumn

Spring

Summer

• Reading, writing and ordering numbers to 10,000,000.

• Rounding numbers to any degree of accuracy.
• Knowing the value of each digit to 3 decimal places.
• Rapid recall of all times tables.
• Using estimation to check answers.
• Using long and short methods of multiplication with numbers up to four digits.
• Calculating differences between negative numbers.
• Expressing unknown numbers using symbols or letters.
• Generating and describing linear number sequences.
• Comparing fractions with different denominators.
• Finding fractions of amounts and simplifying fractions.
• Adding and subtracting fractions with different denominators.
• Using pictorial representation to understand and explain calculations.

Using a variety of methods to show our understanding of number including ‘active maths’.

• Multiplying one digit numbers with up to two decimal places by whole numbers.  
• Multiplying pairs of fractions and writing the answer in its simplest form.
• Multiplying and dividing fractions by whole numbers.
• Recalling the facts that allow us to identify factors, multiples and prime numbers.
• Using long division to divide numbers with up to 4 digits.    
• Solving simple problems involving the calculation of percentages.
• Solving problems that involve converting between units of time.
• Converting related units of measure from smaller to larger and vice versa.
• Comparing and classifying geometric shapes based on their properties and sizes.
• Knowing that shapes with the same areas can have different perimeters.
• Calculating area and perimeter of parallelograms and triangles.
• Finding unknown angles in triangles, quadrilaterals and polygons.
• Solving multi-step problems by identifying steps needed.

• Knowing how and when to calculate the mean of a set of data.

• Constructing, interpreting and solving problems involving pie charts and line graphs.     
• Describing positions on the full coordinate grid.

Translating and reflecting shapes using all four quadrants.

• Performing mental calculations that include large numbers and mixed operations.

• Reading, writing, ordering and comparing numbers and knowing the value of each digit.
• Solving measure problems involving decimal notation up to 3 decimal places.
• Matching fractions, decimals and percentages.
• Using both long and short methods of multiplication with numbers up to 4 digits.
• Using estimation to check answers to calculations.
• Solving multi-step problems by identifying steps needed.                 
• Recalling the facts that allow us to identify factors, multiples and prime numbers.               
• Solving simple problems involving the calculation of percentages.

• Naming parts of circles, including radius, diameter and circumferences.

Reducing ratios to the simplest forms.