Mathematics at Thornham St James'
Find out more about our maths curriculum for the Autumn term.
Reception

Autumn 1 
Lesson objectives 

Number and place value

Recognise and recite numbers to 5 Conserve numbers up to 10 Recite number to 10. Recite numbers to 20 Count up to five objects in a set and begin to count larger sets. Count up to five objects from a set Match items to number using oneto one correspondence. Match numbers to a set Count along a 110 number line Estimate a set of objects, sounds, actions or images up to 10 
Problem solving, reasoning and algebra 
To recognise and continue a repeating pattern using objects, sounds ,actions or colours To recognise and continue a repeating pattern using images or shapes. 

Number and place value 
Count up to ten objects in a set Count up to ten objects from a set Order numbers up to 10 Subsidise, recognise how many without counting Estimate a set of objects, sounds, actions or images up to 12. 

Geometry: position and direction 
Understand and use the language of position: over, under, behind, in front of, beside Recognise and name left and right. 

Measurement 
Recognise days of the week and say which day it is Recite the days of the week in order Recognise key times in the day Sequence events through the day in chronological order Understand that something can happen ‘after two steps’ and understand the language: yesterday, tomorrow and today Begin to match key events to o’clock times. 

Mental addition and subtraction 
Partition a set of five objects into five and none, four and one,, three and two in a practical context. Partition a set of six objects into six and none, fix and one, four and two, three and three practically. Begin to read simple number sentences that use + and = signs. Begin to recognise the relationship between addition and subtraction in a practical context. 
Year One
Autumn 1 
Lesson objectives 
Number and place value

Counting using oneto one correspondence Count on and back to 20 Count on and back to 12 Order and compare numbers to 12 Say the number one more, <10 
Problem solving, reasoning and algebra 
Find addition pair to five and subitise to five Find missing numbers in a number sequence Find addition pairs to six and subitise to six Find number bonds to 10 
Mental multiplication and division 
Double numbers to 5 and find relevant halves Count 1,2,3 more than number up to and just beyond 20. Say the number one less 
Geometry: and Statistics 
Recognise, name and describe squares, rectangles, circles and triangles Begin to recognise basic line symmetry Sort 2D shapes into Venn diagrams using properties incl. Symmetry Sort 2D shapes by number of sides and corners (incl. right angles) using Venn diagrams Sort objects on to a Venn diagram (two overlapping sets Sort basic 2D shapes according to their properties Sort objects on to a Venn diagram (two overlapping sets Sort objects on to a Carroll diagram (two by two 
Measurement 
Read and write numbers from 1 to 20 in digits and words Order and compare numbers to 12 Say numbers one more and one less than 20. Understand 0 as the empty set Estimate a set of objects (≤100) and count in 5s or 10s to check 
Year Two
Autumn 1 
Lesson objectives 
Number and place value

Estimate a set of objects (≤100) and count in 5s or 10s to check Understand place value in 2digit numbers by creating 2digit numbers, placing them on a number line and solving place value additions and subtractions Order and compare 2digit numbers and say a number between. Use language: equal to, more than, less/fewer than, most, least Order and compare 2digit numbers and say a number between. Use language: equal to, more than, less/fewer than, most, least Begin to work systematically to find all possibilities 
Problem solving, reasoning and algebra 
Use inverse relationship between addition and subtraction to solve missing number problems Know the multiple of 10 bonds to 100 and use to derive the multiple of 5 bonds to 100 Quickly work out or recall bonds to 100 and to the next 100 Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20 Use place value and number facts to solve problems 
Mental multiplication and division 
Double numbers to 20, including partitioning teen numbers, and find related halves Add 1digit to 2digit numbers and add to next multiple of 10, by counting on Recall number facts to 20; number pairs (4 to 20) and bonds to 10 and 20 Begin to work systematically to find all possibilities Subtract 1digit from 2digit numbers including 2digit multiples of 10 by counting back Use inverse relationship between addition and subtraction to solve missing number problems Add 1digit to 2digit numbers, bridging 10 and using known facts 
Geometry: and Statistics 
Begin to recognise basic line symmetry Sort 2D shapes into Venn diagrams using properties incl. Symmetry Identify lines of symmetry in simple 2D shapes Sort objects on to a Venn diagram (two overlapping sets) Sort simple 2D shapes including kites, ovals, pentagons and hexagons according to their properties Begin to identify right angles in pictures and shapes Sort 2D shapes by number of sides and corners (incl. right angles) using Venn diagrams Identify right angles in 2D shapes Recognise, name and describe squares, rectangles, circles and triangles Recognise and name several 2D shapes and discover which tessellate Understand that 2D shapes with straight sides are polygons and so identify polygons 
Measurement 
Understand place value in 2digit numbers by creating 2digit numbers, placing them on a number line and solving place value additions and subtractions Order and compare 2digit numbers and say a number between. Use language: equal to, more than, less/fewer than, most, least Begin to work systematically to find all possibilities Count on and back in ones to 100 Add or subtract 10 from 2digit numbers Count on and back in 10s from any number up to 100 
Year 3
Autumn 1 
Lesson objectives 
Number and place value

Use number facts to 10 to solve problems including word problems Know t he multiple of 10 bonds to 100 and use to derive the multiple of 5 bonds to 100 Use number facts to 10 to solve problems including word problems Know the multiple of 10 bonds to 100 and use to derive the multiple of 5 bonds to 100 Add several 1digit numbers Add and subtract 9 and 11 to and from 2digit numbers Add 1digit to 2digit numbers, bridging 10 and using known fact Subtract 1digit from 2digit numbers, bridging 10 and using known facts Use number bonds to begin to predict answers to additions and subtractions 
Problem solving, reasoning and algebra 
Understand place value in 2digit numbers by creating 2digit numbers, placing them on a number line and solving place value additions and subtractions Understand place value in 3digit numbers by creating 3digit numbers, placing them on a number line and solving place value additions and subtractions Order and compare 3digit numbers and say a number between Add and subtract multiples of 10 to and from a 2digit number Add and subtract 9 and 11 to and from 2digit numbers Add and subtract near multiples of 10 to and from 2digit numbers Solve number and practical problems using place value Add/subtract 2digit numbers to/from 2digit numbers by counting on/back pairs of 2digit numbers using partitioning (totals < 100 systematically, using logical reasoning and deduction 
Mental multiplication and division 
Recall multiplication and division facts for the ×10 table Count in 5s and recall multiplication and division facts for the ×5 table Count in 2s and recall multiplication and division facts for the ×2 table Count on and back in 4s Recall multiplication and division facts for the ×4 table Double and halve numbers to 100, including partitioning 2digit numbers Double numbers to 20, including partitioning teen numbers, and find related halves Apply reasoning skills 
Geometry: and Measurement 
Try different approaches and find ways of overcoming difficulties Know the number of seconds in a minute, minutes in an hour, hours in a day and days in a week Know the number of days in each month, and days in a year and leap year Tell the time to the nearest quarter of an hour using digital and analogue clocks Tell the time to the nearest five minutes using digital and analogue clocks Recognise and identify 3D shapes, including cones, spheres, pyramids, triangular prisms, cubes, and cuboids Sort and categorise 3D shapes according to the number of faces, vertices and edges Name and describe 3D shapes using the terms: faces, edges and vertices Sort objects on to a Venn diagram (two overlapping sets Describe 3D shapes using mathematical language with accuracy 
Number and place value 
Round 3digit numbers up or down to the nearest 100 and 10 Subtract 2digit from 2digit numbers by counting up Add or subtract 10 from 2digit numbers Apply reasoning skills to problems To make generalisations 
Year Four
Autumn 1 
Lesson objectives 
Number and place value

Know number bonds to 100

Problem solving, reasoning and algebra 
Recognise the place value of each digit in a 4digit number (1s, 10s, 100s, 1000s); order and compare numbers with up to 4 digits Place 4digit numbers on number lines, recognise the place value of each digit and round these to the nearest 10, 100 or 1000 Order and compare 4digit numbers and say a number between Understand place value in 4digit numbers by creating 4digit numbers, placing them on a number line and solving place value additions and subtractions Add pairs of numbers to 198 Add/subtract 2digit numbers to/from 2digit numbers by counting on/back Subtract 2digit from 2digit numbers by counting up Subtract by counting up from a 2digit to a 3digit number < 200 Add and subtract 1digit to and from 3digit numbers Subtract a 3digit from a 3digit number (with a difference < 50) by counting up 
Mental multiplication and division 
Learn × and ÷ facts for the 9 timestable; identify patterns in the 9 timestable; describe and begin to explain patterns Multiply multiples of 10 by 1digit numbers Multiply mentally 2digit by 1digit numbers using partitioning Use known tables and place value to multiply 2digit by 1digit numbers with the grid method Find unit fractions of amounts and relate to division 
Measurement and decimals 
Write and tell the time to the nearest minute using analogue and digital clocks Compare durations of events to calculate the time taken by particular events or tasks Compare durations of events to calculate the time taken by particular events or tasks Relate 1place decimals to 2place decimals in the context of length (m and cm Measure, compare, add and subtract lengths or heights using m/cm/mm Begin to convert between different units of measure 
Problem investgiations 
Use expanded decomposition to subtract 3digit from 3digit numbers Use column addition to add three 3digit numbers with a total < 1000 
Autumn 1
Number and Place Value
 Read and write numbers to at least 1 000 000
 Order and compare numbers to at least 1 000 000
 Understand place value in 5digit numbers by creating 5digit numbers, placing them on a number line and solving place value additions and subtractions
 Understand place value in 5digit numbers by creating 5digit numbers, placing them on a number line and solving place value additions and subtractions
 Order and compare 5digit numbers and say a number between
 Use column addition to add two 4digit numbers with answers > 10000
 Sustain a line of enquiry, make and test a hypothesis
Addition and Subtraction
 Add/subtract 2digit numbers to/from 2digit numbers by counting on/back
 Add pairs of 2digit numbers with a total ≤ 198
 Subtract 2digit from 2digit numbers by counting up
 Understand place value in 3digit numbers by creating 3digit numbers, placing them on a number line and solving place value additions and subtractions.
 Use place value to add and subtract multiples of 10, 100 and 1000 to and from 4digit numbers
 Add pairs of 2digit numbers with a total ≤ 198
 Use mental strategies to add 2digit, 3digit and 4digit numbers
 Use counting up as an efficient mental strategy with minimal jottings
 Use counting up to subtract 4digit numbers from near multiples of 1000
 Use counting up as an efficient mental strategy with minimal jottings
Decimals, Multiplication and division and Problem solving.
 Match 2place decimals to 1/100s, using a place value grid
 Write and solve mathematical problems
 Use place value to multiply and divide numbers by 10 and 100, involving 2place decimals
 Use place value to add and subtract 0·1 and 0·01 to and from decimal numbers
 Use doubling and halving to multiply and divide by 4 and 8 and solve correspondence problems
 Use advanced mental multiplication strategies
 Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
More problem solving:
 Read, write and convert time between analogue and digital 12 and 24 hour clocks
 Compare durations of events to calculate the time taken by particular events or tasks
 Use 24 hour clocks
 between different units of measure, e.g. kilometres to metres, metres to centimetres, etc.
 Convert between different units of measure, e.g. kilometres to metres, metres to centimetres, etc
 Measure and calculate the perimeter of composite rectilinear shapes in m/cm
 More investigate:
 Use compact decomposition to subtract 3digit from 3digit numbers
 Use expanded or compact decomposition to subtract numbers with up to 4digits (easier)
 Count up to subtract any 3digit from 3digit number
 Subtract 3digit from 4digit numbers by counting up
 Use counting up strategies to quickly calculate change
Year Five
Year 6
Place Value and number:
 Understand place value in 6digit numbers by creating 6digit numbers, placing them on a number line and solving place value additions and subtractions
 Order and compare 6digit numbers and say a number between
 Understand the effect of multiplying or dividing a given number by 10, 100 or 1000; answers < 100000 and with not more than 2 decimal places
 Order and compare 6digit numbers and say a number between
 Use mental strategies to multiply by 4, 8, 5, 25, 19, 29 and 99
 Identify the value of each digit in numbers given to 3 decimal places
 Multiply and divide by 10, 100 and 1000 giving answers up to 3 decimal places
 Read, write and order 3place decimals using a number line
 Identify the value of each digit in numbers given to 3 decimal places
 Round decimals to nearest tenth and nearest whole number
 Write equivalents of 1, 2, and 3place decimals as fractions over 10, 100 or 1000 as appropriate
 Write the decimal equivalent of any fraction where 10, 100 or 1000 is the denominator
 Convert decimals (up to 3 decimal places) to fractions and viceversa using 1000ths and 100ths, e.g. 0·382 = 382/1000
A mix of everything :  Mental addition and subtraction
Number and place valueWritten addition and subtractionDecimals, percentages and their equivalence to fractionsProblem solving, reasoning and algebra
Add and subtract larger numbers using place value and number facts
 Solve additions using appropriate mental strategies
 Round 5digit numbers up or down to the nearest 10, 100, 1000 or 10000
 Add 5digit numbers using column addition
 Add decimal numbers using mental strategies
 Add mixed decimal numbers using appropriate mental strategies
 Round decimals to nearest tenth and nearest whole number
 Add decimal numbers using mental strategies
 Add mixed decimal numbers using appropriate mental strategies
 Add decimal numbers using column addition
 Solve problems involving numbers with up to 3 decimal places
 Add decimal numbers using mental strategies
Problem solving  Use mathematical reasoning to investigate and solve problems and puzzles, justify their reasoning
 Express and solve missing number problems algebraically
 Find pairs of numbers that satisfy an equation with two unknowns
 Enumerate possibilities of combinations of two variables
 Solve equations with two unknowns using trial and error methods
 Express and solve missing number problems algebraically
 Perform mental additions and subtractions with mixed operations and large numbers
 Solve problems involving addition, subtraction, multiplication and division
 Use order of operations and brackets for calculations involving the four operations
 Solve problems involving addition, subtraction, multiplication and division
 Solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why
 Use order of operations and brackets for calculations involving the four operations