## 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 one-to one correspondence. Match numbers to a set Count along a 1-10 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 one-to 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 2-digit numbers by creating 2-digit numbers, placing them on a number line and solving place value additions and subtractions Order and compare 2-digit numbers and say a number between. Use language: equal to, more than, less/fewer than, most, least Order and compare 2-digit 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 1-digit to 2-digit 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 1-digit from 2-digit numbers including 2-digit multiples of 10 by counting back Use inverse relationship between addition and subtraction to solve missing number problems Add 1-digit to 2-digit 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 2-digit numbers by creating 2-digit numbers, placing them on a number line and solving place value additions and subtractions Order and compare 2-digit 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 2-digit 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 1-digit numbers Add and subtract 9 and 11 to and from 2-digit numbers Add 1-digit to 2-digit numbers, bridging 10 and using known fact Subtract 1-digit from 2-digit 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 2-digit numbers by creating 2-digit numbers, placing them on a number line and solving place value additions and subtractions Understand place value in 3-digit numbers by creating 3-digit numbers, placing them on a number line and solving place value additions and subtractions Order and compare 3-digit numbers and say a number between Add and subtract multiples of 10 to and from a 2-digit number Add and subtract 9 and 11 to and from 2-digit numbers Add and subtract near multiples of 10 to and from 2-digit numbers Solve number and practical problems using place value Add/subtract 2-digit numbers to/from 2-digit numbers by counting on/back pairs of 2-digit 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 2-digit 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 3-digit numbers up or down to the nearest 100 and 10 Subtract 2-digit from 2-digit numbers by counting up Add or subtract 10 from 2-digit numbers Apply reasoning skills to problems To make generalisations Year Four

 Autumn 1 Lesson objectives Number and place value Know number bonds to 100 Add to the next multiple of 100 by counting up from any 2-digit or 3-digit number  Quickly work out or recall bonds to 100 and to the next 100 Organise work in a logical order Check that all solutions have been found Subtract a 3-digit from a 3-digit number (with a difference < 50) by counting up Add mentally several 1-digit numbers, multiples of 10 or 100 Problem solving, reasoning and algebra Recognise the place value of each digit in a 4-digit number (1s, 10s, 100s, 1000s); order and compare numbers with up to 4 digits Place 4-digit numbers on number lines, recognise the place value of each digit and round these to the nearest 10, 100 or 1000 Order and compare 4-digit numbers and say a number between Understand place value in 4-digit numbers by creating 4-digit numbers, placing them on a number line and solving place value additions and subtractions Add pairs of numbers to 198 Add/subtract 2-digit numbers to/from 2-digit numbers by counting on/back Subtract 2-digit from 2-digit numbers by counting up Subtract by counting up from a 2-digit to a 3-digit number < 200 Add and subtract 1-digit to and from 3-digit numbers Subtract a 3-digit from a 3-digit number (with a difference < 50) by counting up Mental multiplication and division Learn × and ÷ facts for the 9 times-table; identify patterns in the 9 times-table; describe and begin to explain patterns Multiply multiples of 10 by 1-digit numbers Multiply mentally 2-digit by 1-digit numbers using partitioning Use known tables and place value to multiply 2-digit by 1-digit 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 1-place decimals to 2-place 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 3-digit from 3-digit numbers Use column addition to add three 3-digit 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 5-digit numbers by creating 5-digit numbers, placing them on a number line and solving place value additions and subtractions
• Understand place value in 5-digit numbers by creating 5-digit numbers, placing them on a number line and solving place value additions and subtractions
• Order and compare 5-digit numbers and say a number between
• Use column addition to add two 4-digit numbers with answers > 10000
• Sustain a line of enquiry, make and test a hypothesis

Addition and Subtraction

• Add/subtract 2-digit numbers to/from 2-digit numbers by counting on/back
• Add pairs of 2-digit numbers with a total ≤ 198
• Subtract 2-digit from 2-digit numbers by counting up
• Understand place value in 3-digit numbers by creating 3-digit 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 4-digit numbers
•  Add pairs of 2-digit numbers with a total ≤ 198
• Use mental strategies to add 2-digit, 3-digit and 4-digit numbers
•  Use counting up as an efficient mental strategy with minimal jottings
• Use counting up to subtract 4-digit 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 2-place 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 2-place 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 3-digit from 3-digit numbers
• Use expanded or compact decomposition to subtract numbers with up to 4-digits (easier)
• Count up to subtract any 3-digit from 3-digit number
• Subtract 3-digit from 4-digit numbers by counting up
• Use counting up strategies to quickly calculate change

Year Five Year 6

Place Value and number:-

• Understand place value in 6-digit numbers by creating 6-digit numbers, placing them on a number line and solving place value additions and subtractions
•  Order and compare 6-digit 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 6-digit 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 3-place 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 3-place 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 vice-versa using 1000ths and 100ths, e.g. 0·382 = 382/1000

A mix of everything :-
• Mental addition and subtraction
Number and place value
Written addition and subtraction
Decimals, percentages and their equivalence to fractions
Problem solving, reasoning and algebra

Add and subtract larger numbers using place value and number facts

• Solve additions using appropriate mental strategies
• Round 5-digit numbers up or down to the nearest 10, 100, 1000 or 10000
• Add 5-digit 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 multi-step problems in contexts, deciding which operations and methods to use and why
• Use order of operations and brackets for calculations involving the four operations 