2014 National Curriculum Maths Topics Reception Topics. Autumn Term Spring Term Summer Term

Transcription

1 2014 National Curriculum Maths Topics Reception Topics Autumn Term Spring Term Summer Term Number Counts actions or objects that cannot be moved Estimates how many objects they can see and checks by counting them Uses the language of more and fewer to compare two sets of objects Counts reliably with numbers from 1 to 5 then 1 to 10 then 1 to 20, places them in order and say which number is one more/ one less than a given number Recognises some numerals of personal significance. Selects the correct numeral to represent 1 to 5, then 1 to 10 objects In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting Uses quantities and objects to add and subtract two single-digit numbers, and counts on or back to find the answer Finds the total number of items in two groups by counting all of them Records, using marks that they can interpret and explain. Solve problems, including doubling, halving and sharing Number Counts actions or objects that cannot be moved Estimates how many objects they can see and checks by counting them Uses the language of more and fewer to compare two sets of objects Counts reliably with numbers from 1 to 20, places them in order and say which number is one more/ one less than a given number Recognises some numerals of personal significance. Selects the correct numeral to represent 1 to 5, then 1 to 10 objects In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting Uses quantities and objects to add and subtract two single-digit numbers, and counts on or back to find the answer Finds the total number of items in two groups by counting all of them Records, using marks that they can interpret and explain. Solve problems, including doubling, halving and sharing Number Counts actions or objects that cannot be moved Estimates how many objects they can see and checks by counting them Uses the language of more and fewer to compare two sets of objects Counts reliably with numbers from 1 to 20, places them in order and say which number is one more/ one less than a given number Recognises some numerals of personal significance. Selects the correct numeral to represent 1 to 5, then 1 to 10 objects In practical activities and discussion, is beginning to use the vocabulary involved in adding and subtracting Uses quantities and objects to add and subtract two single-digit numbers, and counts on or back to find the answer Finds the total number of items in two groups by counting all of them Records, using marks that they can interpret and explain. Solve problems, including doubling, halving and sharing Begins to identify own mathematical problems based on own interests and fascinations

2 Shape, Space and Measure Beginning to use mathematical names for solid 3D shapes and flat 2D shapes, and mathematical terms to describe shapes. Selects a particular named shape. Can describe their relative position such as behind or next to. Explores characteristics of everyday objects and shapes and uses mathematical language to describe them. Selects a particular named shape. Uses familiar objects and common shapes to create and recreate patterns and build models. Recognises, creates and describes patterns Beginning to use everyday language related to money Uses everyday language to talk about size, weight, capacity, position, distance, time and money to solve problems Orders two or three items by length or height Uses everyday language related to time. Orders and sequences familiar events. Measures short periods of time in simple ways Shape, Space and Measure Beginning to use mathematical names for solid 3D shapes and flat 2D shapes, and mathematical terms to describe shapes. Selects a particular named shape. Can describe their relative position such as behind or next to. Explores characteristics of everyday objects and shapes and uses mathematical language to describe them. Selects a particular named shape. Uses familiar objects and common shapes to create and recreate patterns and build models. Recognises, creates and describes patterns Beginning to use everyday language related to money Uses everyday language to talk about size, weight, capacity, position, distance, time and money to solve problems Orders two or three items by length or height Orders two items by weight or capacity Uses everyday language related to time Orders and sequences familiar events Measures short periods of time in simple ways Shape, Space and Measure Beginning to use mathematical names for solid 3D shapes and flat 2D shapes, and mathematical terms to describe shapes. Selects a particular named shape. Can describe their relative position such as behind or next to. Explores characteristics of everyday objects and shapes and uses mathematical language to describe them. Selects a particular named shape. Uses familiar objects and common shapes to create and recreate patterns and build models. Recognises, creates and describes patterns Beginning to use everyday language related to money Uses everyday language to talk about size, weight, capacity, position, distance, time and money to solve problems Orders two or three items by length or height Orders two items by weight or capacity Uses everyday language related to time Orders and sequences familiar events Measures short periods of time in simple ways

3 2014 National Curriculum Maths Topics Year 1 Topics Autumn Term Spring Term Summer Term Number and place value Count reliably up to 20 objects Recognise and estimate numbers more and less than 10 Use the landmarks of 5s to help place other numbers on a washing line or bead bar Make teen numbers by adding more to 10 Partition each teen number to 10 and the rest. One more and one less than 2-digit number Mark numbers on a 0 to 20 beaded line Compare 2 numbers less than 20 Count in 10s from 10 Share numbers to 10 to find which are even/odd Find odd and even numbers on a 1 20 track Count to 100 Find one more and one less Use ordinal numbers in context Number bonds to 10 Number - Addition and subtraction Partition 5 into pairs, record the related additions Add a small number by counting on Add 1, 2, 3, 4 or 5 to 5 by counting on Add 1 or 2 to numbers to 6 by counting on Add 1 or 2 to numbers to 10 by counting on Understand subtraction as take away Begin to count back to subtract See how subtraction undoes addition Add and subtract 1 or 2 Decide whether to add or subtract to solve a word Number and place value Find one more/less than any 2- digit number Count in 10s from 10 Count in tens from any number Estimate a quantity Find ten more and ten less than and 2- digit number Show a 2-digit number by combining groups of ten and one; Locate numbers on a beaded line Know what each digit means in a 2-digit number Estimate a number of objects, and count to check Compare two numbers less than 100, say which is more or less Give a number between two neighbouring multiples of 10 Investigate place value in 2-digit numbers Recognise odd and even numbers Number- Addition and subtraction Bonds to 8; Recognise that adding can be done in any order Bonds to 9; Recognise that adding can be done in any order Find doubles to double 6 Add three numbers using number bonds to 10 Adding three numbers using doubles and number bonds Find 10 more than any 2-digit number less Number and place value Ordering 2-digit numbers. Find a number between neighbouring pairs of multiples of 10. Find 10 more and 10 less. Number - Addition and subtraction Add 10s to 2-digit numbers. Add 11 to multiples of 10. Subtract 10s from a 2-digit number. Subtract 11 from multiples of 10. Add and subtract 11 from multiples of 10. Describe the pattern this makes on a number grid Know number bonds to 10 Use pairs to 10 to add to the next 10s number

4 problem Partition 6 into pairs Partition 7 and record addition sentences Partition 10 and record the related addition sentences Add 2, 3 or 4 by counting on Realise that addition can be done in any order Find one more/one less than any number up to 20 Find two more/less than any number up to 20, recording the hops on a beaded line Find one more/one less than 2-digit numbers Find one more/one less than any 2-digit number Partition 10 into pairs, write the addition than 90 Find 10 less than any 2-digit number Investigate difference Split 8 and 9 into pairs Relate addition and subtraction number facts Adding doubles and near doubles Add 10, then small multiples of 10 to 2- digit numbers Subtract 10 and then small multiples of 10 from 2-digit numbers Number bonds to 10 Bridge ten with bead strings and beaded lines Add single-digit amounts of pence, bridging 10p Use pairs to ten to bridge ten Sort calculations - will they bridge ten or not? Find totals of 2 and 3 coins to 10p Find ways to pay amounts up to 20p Find totals of single-digit prices using known facts or counting on Add 10p and 20p to 2-digit amounts of money Find change from 10p Finding the difference between amounts of money Use number bonds to add, bridging 10 Recognise whether two numbers added together will bridge 10 Use bonds to 10 to bridge 10 when subtracting (12 2, 12 3, 12 4 ) with visual support Use pairs to 10 to bridge 10 when subtracting (12 2, 12 3, 12 4, ) Record the steps on a beaded line. Use pairs to 10 to bridge 10 when subtracting (12 2, 12 3, 12 4 ) and record the steps on a beaded line Sort calculations according to whether they will bridge 10 or not Use pairs to 10 to find the complement to the next multiple of 10. Use pairs to 10 to find the complement to the next multiple of 10, using a beaded number line. Adding single digit numbers to 2-digit numbers using patterns and number facts Adding single digit numbers to 2-digit numbers using patterns and number facts Subtracting single digit numbers to 2- digit numbers using facts. Finding totals of money Giving change by finding the difference. Finding totals to 20p Find totals using other number facts Finding totals adding 10 or 20 pence Finding change by finding the difference and counting on

5 Number Multiplication and division Double 1 to 5 Number - Fractions Find halves of shapes Find quarters of shapes Number Multiplication and division Learn to count in 2s from 0 Sorting numbers onto diagrams Double numbers up to 12 Number - Fractions Find half of numbers up to 24 (links to odds and evens Number Multiplication and division Count in 2s, 5s and 10s. Record counting on a beaded line with hops. Count in 2s, 5s and 10s. Use repeated addition to work out multiplication problems. Work out simple multiplications by counting sets of Begin to use a penny number line to ring sets Work out simple division problems by working out how many sets in a given number Work out division problems by grouping objects. Begin to use a beaded line to group Doubling numbers Halving numbers Multiplication using sets of Multiplication as sets of and division as how many sets? Number - Fractions Find 1/2 and 1/4 of amounts.

6 Geometry Understand and create symmetrical patterns Spot whether a pattern/object is symmetrical Name and describe squares, rectangles, circles and triangles Use lists to sort objects Use a table to help sort objects Measurement Tell the time to the hour Know the times of key events in the day Order days of the week Order months of the year Measure length using a uniform unit Estimate/measure length using a uniform unit Measure and estimate by comparing with a metre stick Know how much each coin to 10p is worth Add 1p and 2p to coins up to 10p Find ways to pay amounts to 10p Measurement Compare weights using direct comparison Compare weights using direct comparison Use uniform non-standard units to measure weight Tell the time to the hour and half hour Tell the time to the half hour Begin to find all possibilities by making an ordered list Measuring objects in cubes Measuring lengths of string in cubes Find a difference in lengths using cubes (uniform, non-standard units) Find a difference in heights using cubes Compare capacities, by direct comparison Estimate, measure and compare capacities, using cups; use a uniform, nonstandard unit to measure capacity Estimate, measure, compare capacities, using cups; use a uniform, nonstandard unit to measure capacity Know the value of each coin to 1 Geometry Name common 3D shapes and their faces Name, describe and sort common 3D shapes Recognise 2D drawings of common 3D shapes Describe properties of common 3D shapes Make models of 3D shapes Recognise 3D shapes; understand ¼, ½ and ¾ turns Recognise 3D shapes and describe their position Measurement Read the time to the 1/2 hour on analogue clocks Read the time to the 1/2 hour on analogue and digital clocks Match analogue and digital clocks Finding 1/2s and 1/4 of shapes. Know days of the week and months of the year Tell the time to the nearest ½ hour Tell the time to the nearest 1/2 hour Understanding time and using the language of time Order times from earliest to latest

7 Statistics Draw pictograms and discuss what they show Presenting data in a block graph Statistics Draw, read and understand block graphs Read, understand and draw pictograms

8 2014 National Curriculum Maths Topics Year 2 Topics Autumn Term Spring Term Summer Term Number and place value Recite numbers to 100 Count up to 100 objects (beads on a bead bar) Count on in tens from single and two-digit numbers and back again Mark two-digit numbers on a beaded line, then landmarked line (labelled in tens) Order numbers to 100, compare two numbers, say which is more or less Say a number between any given neighbouring pairs of multiples of ten (e.g. 40 and 50) Make a sensible estimate up to 100 objects (e.g. choosing from 10, 20, 50 or 100) Use place value to add and subtract e.g , 53 3) Count on in tens from any single-digit number then any number, and back again Number - Addition and subtraction Relate counting on/back in tens to finding 10 more/less Relate counting on/back in tens to finding 20 more/less Find 9/11 more or less by finding 10 more/less and understanding whether to add/subtract 1 Find a difference using number facts to help Understand difference as one model of subtraction Show two-digit numbers on a bead string and write corresponding addition (e.g. 26 = ) Partition two-digit numbers into tens and ones Partition all numbers to 10, then 20 into pairs, record the related addition sentences and find the Number, place value and money Mark two-digit numbers on a landmarked line (labelled in tens) Compare numbers using the symbols < and > Use ordinal numbers in context up to 10th and beyond Use knowledge of order of numbers and properties of number (e.g. odd/even, multiples of 2 and 10) to describe/sort numbers Round two-digit numbers to nearest multiple of ten Use place value to add and subtract (e.g , 53 3) Number - Addition and subtraction Add/subtract 11, 12, 13, 21, 22, 23 by adding/subtracting 10/20 first Add/subtract a single digit to/from a 2- digit number by bridging multiples of ten using knowledge of pairs to ten & place value Find all pairs with a total of 20 and record the corresponding addition and subtraction facts Recognise the use of a symbol such as to represent an unknown Imagine what action would be needed to solve a word problem and decide what calculation is necessary (addition or subtraction) Place Value and number Mark two-digit numbers on an empty number line (only 0 and 100 labelled) Recite numbers 100 to 200 Use knowledge of the order of numbers to 100 to order numbers 100 to 200 Use knowledge of order of numbers + properties of number (e.g. odd/even, multiples of 2, 5 and 10) to describe/sort numbers Partition three-digit numbers into multiples of hundred, ten and one and write the corresponding addition sentence Know what each digit represents in a three-digit number Number - Addition and subtraction Revise all previous work Use the = sign to represent equality (e.g = ) Find all pairs with a total of 20 and record the corresponding addition and subtraction facts Find all pairs of multiple of ten with a total of 100 and record the corresponding addition and subtraction facts Add/subtract two-digit numbers by adding/subtracting multiples of ten then one (e.g. add 45 and 23 by adding 20, then 3)

9 corresponding subtraction facts Use the = sign to represent equality (e.g = 7 + 3) Recognise the use of a symbol such as t represent an unknown Recognise all coins Find totals up to 20p (including adding more than two amounts using number facts to help) Find change from 20p Work out what coins can be used to pay an amount up to 1 Use complements to multiples of ten to find change up to 50p Understand difference as one model of subtraction Find a difference using pairs to ten and place value (e.g , 32 27) the larger number first, e.g Understand that addition can be done in any order, but not subtraction Recognise all coins and notes and begin to use.p notation Work out what coins and notes can be used to pay an amount up to 10 Find change from 1 Understand subtraction as both finding a difference and taking away Decide whether it would be more efficient to subtract by counting back or counting up Decide which would be more efficient to solve given additions, partitioning both numbers, or just the second number and counting on in tens

10 Number - Multiplication and division Count in 2s and 10s from any number to 100 Understand multiplication as repeated addition Recognise multiples of 2 and 10 Use facts to add four or five small numbers, by spotting pairs to ten/doubles Use multiplication and division sentences to describe an array and repeated hops on a number line Understand grouping as one model of division Begin to learn multiplication facts for the 2 and 10 times tables Number - Multiplication and division in 2s, 5s and 10s from any number to 100 Recognise multiples of 2, 5 and 10 Understand multiplication as repeated addition Use multiplication and division sentences to describe an array and repeated hops on a number line Understand grouping as one model of division Begin to understand that division can leave some left over Learn multiplication facts for the 2, 5 and 10 times tables Find doubles up to double 15 Find doubles of multiples of 5 up to double 50 and corresponding halves Number - Multiplication and Division Use multiplication and division sentences to describe an array and repeated hops on a number line Understand grouping as one model of division Understand that division can leave some left over Work out multiplication and division facts for the 3 and 4 times tables Number - Fractions Find halves and quarters of shapes by folding Recognise which shapes are divided in halve/quarters and which are not Number - Fractions Find halves and quarters of numbers by folding strips Number - Fractions Revise all previous work

11 Geometry Follow and give instructions involving position, direction and movement Visualise common 2-d solids, identify from pictures in different positions and orientations Sort & describe 2-d shapes, referring to their properties Visualise common 3-d solids, identify from pictures in different positions and orientations Sort and describe 3-d shapes, referring to their properties Measurement Estimate, measure and compare lengths, choosing and using suitable standard units and suitable measuring instruments Read the time to the quarter of an hour on digital and analogue clocks Begin to identify time intervals, including those that cross the hour Use units of time (seconds, minutes, hours, days and weeks) and know the relationships between them Geometry Visualise common 3-d solids, identify from pictures in diff positions and orientations Sort, make and describe 3-d shapes, referring to their properties Follow and give instructions involving position, direction and movement Sort, make & describe 2-d shapes, referring to their properties Identify reflective symmetry in patterns and draw lines of symmetry Identify reflective symmetry in 2-d shapes and draw lines of symmetry in shapes Visualise common 2-d shapes, identify from pictures in different positions and orientations Measurement Estimate, measure and compare weights, choosing and using suitable standard units and suitable measuring instruments Use units of time (seconds. minutes, hours, days and weeks) and know the relationship between them Measure activities using seconds and minutes Note how long, in hours, diff activities are Know the days of the week Read the time to the quarter of an hour on digital and analogue clocks Shape, data and measures Use units of time (seconds. minutes, hours, days and weeks) and know the relationship between them Read the time to the quarter of an hour on digital and analogue clocks Begin to identify time intervals, including those that cross the hour Answer a question by collecting and recording data, and representing it as block graphs and pictograms to show results Recognise whole, half and quarter turns, both clockwise and anticlockwise; recognise that a right angle is a quarter turn Estimate, measure and compare capacities, choosing and using suitable non-standard and standard units and suitable measuring instruments Visualise common 3-d solids, identify from pictures in different positions and orientations Sort and describe 3-d shapes, referring to their properties

12 Statistics Answer a question by collecting & recording data, and representing it as block graphs and pictograms to show results Statistics Answer a question by collecting and recording data, and representing it as block graphs and pictograms to show results Follow and give instructions involving position, direction and movement Use lists, tables and diagrams to sort objects; explain choices using appropriate language, including not

13 2014 National Curriculum Maths Topics Year 3 Topics Autumn Term Spring Term Summer Term Number and place value Revise placing 2-digit numbers on an empty number line Place 3-digit numbers on a landmarked Place value and ordering 3-digit numbers Write amounts in pounds and pence Place value and comparing amounts of money written in pounds and pence Number and place value Place 3-digit numbers on a number line Place 3-digit numbers on a number line Partition 3-digit numbers into 100s, 10s and 1s; compare and order numbers Use a number line to compare and order 3-digit numbers Partition numbers into 100s, 10s and 1s Understand place value in 3-digit numbers Place value in 3-digit numbers including money Multiplying and dividing by 10 Multiplying and dividing by 10 and 100 Multiplying and dividing by 10 and 100 using money Using inverse operations Number and place value Partition and represent 3-digit numbers using Place Value cards and multi-base equipment (Dienes) Order and compare 3-digit numbers Place 3-digit numbers on landmarked lines (sections with 10s, then just 100s marked) and round to the nearest 10 and 100 Place value in money, writing in pounds and pence Use place value to add and subtract pounds, 10ps and 1ps, e.g p and p Count in 50s and 100s Count in 4s and 8s Work out the rule for a sequence Introduce 4-digit numbers, counting above 1000 Place value in numbers from 1000 to 2000

14 Number - Addition and subtraction Addition and subtraction facts up to 20 Using the = sign to represent equality Use number facts to add a 1-digit number to a 2- digit number Use number facts to subtract a 1-digit number from a 2-digit number Add several small numbers, using number facts Add 2-digit numbers by partitioning Add 2-digit numbers by partitioning Subtract by counting up (answers less than 20) Subtract by counting up (answers more than 20) Count up to find change from a pound Add 100s, 10s and 1s Subtract 100s, 10s and 1s Add and subtract near multiples of 10 to/from 2- digit numbers Add near multiples of 10 to 3-digit numbers Subtract near multiples of 10 from 3-digit numbers Know multiples of 5 which total 100 Know pairs of 2-digit numbers which total 100 Subtract numbers on either side of 100 by counting up Subtract numbers on either side of 100 by counting up Subtract numbers on either side of 100 by counting up Number - Addition and subtraction Add pairs of 2-digit numbers using different strategies Add pairs of 2-digit numbers using different strategies Subtract multiples of 10 and near multiples Use counting up to find differences (subtract) Choose strategies to subtract Add a 1-digit number to a 3-digit number. Subtract a 1-digit number from a 3- digit number Add/subtract multiples of 10 and 100 Add/subtract multiples of 10 and 100 Using addition and subtraction to solve word problems Add 3-digit numbers using expanded addition Add 3-digit numbers using expanded addition Add 3-digit numbers using expanded addition Subtract a 2-digit number from a 3- digit number Subtract a 2-digit number from a 3- digit number) Expanded addition to add two 3- digit numbers. Expanded addition to add two 3- digit numbers. Find a difference between pairs of numbers within the same century Find a difference between pairs of numbers, check with addition. Addition and subtraction word problems. Number - Addition and subtraction Revise using expanded and compact addition to add any pair of 3-digit numbers Use compact addition to add pairs of 3- digit numbers, estimate totals Use compact addition to add any pair of 3- digit numbers; look for patterns and make generalisation. Revise subtracting 2-digit numbers from 3- digit numbers, e.g Revise subtracting 3-digit numbers within same century, e.g Add three or four 2-digit numbers using expanded or compact addition Add three or four 2-digit numbers using compact addition; estimate answers Add three or four 2-digit numbers using compact addition; Find and test rules Calculate change from 5, 10 and 20 Find the difference between amounts of money Use column addition to add three 3- digit numbers Use column addition to amounts of money (one carry between 1ps and 10ps or from 10ps to s) Use column addition to amounts of money; Revise finding the change from 5, 10 and 20 Find change from 100

15 Number - Multiplication and division Double 2-digit numbers up to 50 Halve even 2-digit numbers Revise 5 and 10 times tables and division facts Revision of 2 times table, focusing on division Recognising multiples of 2, 5 and 10 x and facts for the 3 times table x and facts for the 4 times table Writing division facts to go with multiplications Dividing using multiplication facts, with remainders Dividing using multiplication facts, with remainders Number - Multiplication and division Double the 4 times table to get the 8 times table Varied multiplications for the 2, 3, 4, 5, 8, 10 times tables Division within tables with remainders Division within tables with remainders Multiplication and division word problems Multiply by 4 by doubling twice Divide by 4 by halving twice Find unit fractions of quantities using division facts Find non-unit fractions of quantities using division and multiplication Find non-unit fractions of quantities using division and multiplication Number - Multiplication and Division Revise doubling numbers to 50 using partitioning Revise halving numbers to 100 using partitioning Revise times tables and division facts (1x, 2x, 3x, 4x, 5x, 8x, 10x) Begin to use the grid method to multiply 2-digit numbers (teens) by 1-digit numbers Begin to use the grid method to multiply 2-digit numbers (numbers < 30) by 1- digit numbers; Find and test rules Scale up by multiplying by 4 (double twice) and by 10 Scale down by dividing by 4 (halve twice) and by 10 Divide numbers just beyond the times tables (no remainders) Divide numbers just beyond the times tables (no remainders) Divide numbers just beyond the times tables (with remainders) Use the grid method to multiply 2-digit numbers (numbers < 40) by 1-digit numbers

16 Number - Fractions Understanding the concept of ½, ⅓ and ¼ of shapes and number Finding ½ of quantities, including odd numbers Finding halves of quantities less than 100 Finding ¼ and ¾ of quantities Finding 1/3 and 2/3 of quantities Number - Fractions Place fractions on a number line (1/4s 1/2s, 1/8s) Finding fractions of amounts (1/4s and 1/8s) Finding fractions of amounts (1/3s and 1/6s Understanding denominator & numerator and comparing fractions Recognise and find fractions with a total of 1 Number - Fractions Understand tenths, and find tenths of amounts Fractions as numbers and as operators; find unit fractions of quantities Find non-unit fractions of amounts Find fractions which are equivalent to ½ and to ¼ Add and subtract fractions with the same denominator within one whole

17 Geometry Recognise lines of symmetry, complete symmetrical drawings Describe, name and sort 2D shapes Describe, name and sort 2D shapes using a Venn diagram Describe, name and sort 3D shapes Describe, name and sort 3D shapes using a Carroll diagram Measurement Revise telling time past the hour (to 5 minutes) on both analogue and digital clocks Revise telling time to the hour (to 5 minutes) on analogue and digital clocks Know equivalent analogue and digital times; Use am and pm Time events in seconds, record on a bar graph, one step is 10 seconds Geometry Understand angles as turn and right angles as ¼ turns Measurement Measure in metres and cm; convert cm to m and vice versa Measure in cm and mm. Convert mm to cm and vice versa Measure in kg and g. Convert g to kg and vice versa Read and write analogue and digital times Match analogue & digital times; read and write these Begin to calculate time intervals Begin to calculate time intervals Geometry Recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn Identify whether angles are greater than or less than a right angle Identify perpendicular and parallel lines Count faces, vertices and edges of 3D shapes Measurement Measure in litres and millilitres and convert between the two units Revise measuring in millimetres and centimetres, draw a bar chart Revise measuring in metres and centimetres, find perimeters Revise am and pm; Begin to tell the time to the nearest minute Tell time to nearest minute; Compare time durations Revise units of time Statistics Collect/ represent data in pictograms, one symbol represents 2 units Statistics Measure in kg and g. Draw a bar graph Measure in m, cm and mm, kg and g. Draw a bar graph

18 2014 National Curriculum Maths Topics Year 4 Topics Autumn Term Spring Term Summer Term Number and place value Understand place value in 4-digit numbers Write place value subtractions Comparing pairs of four-digit numbers, using < and > Placing and ordering 3-digit numbers Placing and ordering 4-digit numbers Add and subtract using place value Add and subtract using place value Add/subtract 1 or 1000 to/from 4-digit numbers Add/subtract 10 to/from 4-digit numbers Add/subtract 100 to/from 4-digit numbers Number and place value Divide 2-digit numbers by 10 to create 1- place decimal numbers Multiply 1-place decimals to give whole numbers. Relate fractions to decimals (0.1 1/10) Relate one place decimals to cm and mm Multiply and divide by 10 and 100 using 1- place decimals Multiply multiples of 10 and 100 by singledigit numbers Add and subtract 0.1 and 1 to/from numbers with one decimal place Use negative numbers in context of temperature Place negative numbers on a line; Order positive and negative numbers Number and place value Place value addition and subtraction (4- digit numbers) Place 4-digit numbers on landmarked lines (sections with 10s, then just 100s marked) and round to the nearest 10 and 100 Place four-digit numbers on landmarked lines (marked in 1000s) and round to the nearest 1000 Count on and back in steps of 25 and 1000 History of zero and place value, Roman numerals to 100 Revise numbers with one decimal place: mark on ENLs and round to the nearest whole Introduce numbers with 2 decimal places on place value grids Compare and order numbers with 2 decimal places Place numbers with 2 decimal places on landmarked lines (marked in 0.1s)

19 Number - Addition and subtraction Add pairs of two-digit numbers Add two digit numbers to three-digit numbers Find a difference by counting up Count up and use number bonds to subtract twodigit numbers from 100 Choose counting up or back to subtract twodigit numbers from numbers >100 Add/subtract using PV and number facts Add/subtract 3-digit numbers using PV and number facts Add/subtract money using place value and number facts. Add near multiples of 10 or 100 to 3-digit numbers Subtract near multiples of 10 or 100 from 3-digit number Adding two 3-digit numbers using compact written addition Using counting up to subtract, e.g Use Counting up to subtract (e.g ) and check 3-digit expanded decomposition with one exchange Expanded decomposition, 3-digit 3-digit Number - Addition and subtraction Add amounts of money using expanded and compact addition Count up to solve 3-digit subtractions Count up to find change from 5 and 10 Count up to find a price difference Add three 2-digit numbers using compact addition Add four 2-digit numbers using compact addition Subtract 3-digit numbers using expanded column subtraction Investigate patterns when subtracting 3- digit numbers Add/subtract single-digit numbers to and from 3 and 4-digit numbers Subtract single-digit numbers from 3 and 4-digit numbers Add multiples of 10, 100 and 1000 Subtract multiples of 10, 100 and 1000 Add and subtract multiples of 10, 100 and 1000 Add three 3-digit numbers using compact addition Use compact addition to add amounts of money Use expanded decomposition to subtract three-digit numbers Introduce compact decomposition to subtract three-digit numbers Use compact decomposition to subtract three-digit numbers Number- Addition and subtraction Revise compact decomposition of 3- digit numbers Expanded decomposition of 4- digit numbers (one move) Use expanded then compact decomposition to subtract pairs of 4- digit numbers (2 moves) Use compact decomposition to subtract 3 and 4-digit numbers from 4-digit numbers Use counting up to subtract pairs of numbers which are close to multiples of 1000, or when the larger number has zeroes Expanded and compact decomposition, including 3 moves Add any pair of 4-digit numbers using compact addition Add and subtract near multiples of 10, 100 and 1000 Choose mental or written methods for addition and subtraction Solve addition and subtraction word problems Add/subtract 0.1/0.01 to/from numbers with 2 decimal places; count on and back in tenths and hundredths Add/subtract multiples of 0.1/0.01 Place value addition and subtraction, e.g ,

20 Number - Multiplication and division Double and halve 2-digit numbers, including odd numbers Double and halve three-digit numbers Revise 4 and 8 times tables, and divisions Double the 3 times table to get 6 times tables Division facts for 3, 4, 5, 6 and 8 times tables Grid multiplication Written division Divide 2-digit numbers just above the 10th multiple with remainders Divide two-digit numbers just above the 10th multiple with remainders Number - Fractions Count ins 1/4s, 1/3s, 1/8s and 1/10s saying equivalent fractions Find unit and non-unit fractions of amounts Find unit and non-unit fractions of amounts Number - Multiplication and division Know multiplication and division facts for the 9 times table Begin to know multiplication and division facts for the 7 times table Revise all times tables up to Find factors of numbers up to 40 Use tables facts and place value to multiply multiples of 10 and 100 by singledigit numbers Use partitioning to multiply 3- digit numbers by 1-digit numbers Use partitioning to multiply 3- digit numbers by 1-digit numbers Use partitioning to multiply 3- digit numbers by 1-digit numbers Know the 11 and 12 times Divide 2-digit numbers by singledigit numbers (with remainders) Number - Fractions Identify equivalent fractions, especially in relation to halves and quarters Simplify fractions by reducing to their simplest form Identify equivalent fractions and mark on a number line Mark equivalent fractions/decimals on a number line Add fractions with the same denominator Number - Multiplication and division Revise factors; use to aid mental multiplication Multiply 3 numbers together e.g = 10 6 Use knowledge of times tables and place value to divide multiples of 10, e.g Multiply 3-digit numbers by singledigit numbers Multiplication and division word problems Mix of all four operations all straight calculations mix of mental and written Multiply and divide single-digit numbers by 10 and 100 to give tenths, then hundredths and 2-digit, then 3-digit numbers by 10 and 100 to give tenths & hundredths Solve word problems Divide two-digit numbers by single-digit numbers, answers less than 30 (without remainders) Divide two-digit numbers by singledigit numbers, answers less than 30 (with remainders) Number - Fractions Find equivalent 1/100s and 0.01s, 1/10s and 0.1s Identify equivalent fractions, including decimals Revise finding non-unit fractions of amounts. Solve fraction word problems

21 Geometry Use compass to draw circles to given radii. Draw different polygons; identify their properties Study different triangles and identify their properties Study different 3-D shapes and identify their properties identify and sort 3-D shapes acc. to their properties Measurement Revise telling time, am and pm, to the nearest minute on both analogue and digital clocks; convert between the two Find times later, crossing the hour, both analogue and digital clock Calculate time intervals, crossing the hour, using both analogue and digital clocks Time events in seconds, record in a bar chart, one step is 5 or 10 seconds Geometry Use x, y co-ordinates on a graph (first quadrant) Measurement Measure in m and cm; convert from cm to m and m & cm to m Measure in cm/mm; convert from mm to cm Weigh in Kg/g; convert from kg to g and vice versa Tell time on digital and analogue clocks using 24 hour clock Convert 24 hour clock to am and pm times Use timetables and calculate intervals Geometry Find area of rectilinear shapes by counting squares Find area of rectilinear shapes by counting squares Calculate perimeter in centimetre and metre of rectangles Investigate area and perimeter Revise co-ordinates, complete polygons Complete symmetrical shapes and patterns with respect to a line of symmetry Recognise different types of triangle; recognise acute, obtuse and right angles Recognise acute, obtuse and right angles and find what numbers of each sort of angles are possible in quadrilaterals Sort quadrilaterals according to different properties Measurement Revise 24-hr clock, convert to am and pm times and vice versa (including clocks with Roman numerals) Find time intervals using 24-hour clock Convert between units of time Solve scaling problems; convert from centimetres to metres

22 Statistics Collect and represent data in pictograms one picture represents four units Statistics Estimate weights and order items by weight; display information on a bar graph Measure weights or lengths using SI units; display results on a bar graph Statistics Read, interpret and describe a time graph. Draw a time graph

23 2014 National Curriculum Maths Topics Year 5 Topics Autumn Term Spring Term Summer Term Number and place value Place value in 5-digit numbers (PV additions/subtractions) Place 5-digit numbers on a line and compare pairs of numbers, use < and > Divide by 10 and 100 to give answers with two decimal places Multiply and divide by 10 and 100 Place two place decimal numbers on a number line and compare two numbers Place 4-digit numbers on a line, round to nearest 10, 100 or 1000 Place 5-digit numbers on a line and round to the nearest 10, 100, 1000 or 10,000 Count on and back in steps of 0.01 and 0.1 from numbers with 2 decimal places Number and place value Place value in 6-digit numbers (PV + and -, compare numbers) Place 6-digit numbers on number lines and round to the nearest 100 or 1000 Use negative numbers in context of temperature; Calculate rises and falls in temperature Use negative numbers in the context of temperature; Find differences between temperatures Place value addition and subtraction of numbers with 2 decimal places Multiply and divide by 10, 100 and Round decimals to the nearest whole and tenth Use place value to add and subtract to/from 6-digit numbers Compare 6-digit numbers and round to the nearest 10, 100, 1000, 10,000 and 100,000 Multiply and divide by 10, 100 and 1000 Place numbers with two decimal places on a line, round to the nearest tenth or whole Number and place value Compare and order negative numbers Count back in steps through zero Add and subtract 1, 10, 100, 1000, 10,000 and 100,000 to/from six-digit numbers Place 6-digit numbers on landmarked lines and empty lines Round 6-digit numbers to the nearest 1000, 10,000, and 100,000 Read and write Roman numerals to 1000 (M) Recognise years written in Roman numerals Revise 2-place decimals 3-place decimals Multiply and divide by 10, 100, 1000 Recognise and use square numbers and cube numbers Revise place value in numbers with three decimal places Compare and order numbers with three decimal places and place on a line

24 Number - Addition and subtraction Add/subtract 1s, 10s, 100s, 1000s and 10,000s Revise using column addition to add pairs of 4-digit numbers Add amounts of money using column addition; Use using rounding to check answers Begin to use column addition to add pairs of 5-digit numbers Find change from 20, 50 and 100 Subtract amounts of money Use column subtraction (decomposition) to subtract pairs of 4-digit numbers Choose whether to use counting up or column subtraction (decomposition) to work out given calculations Add and subtract multiples of 0.1 or 0.01 without crossing multiples of 0.1 or 1 Subtract pairs of numbers with one decimal place Subtract pairs of numbers with two decimal places using counting up Subtract pairs of numbers with one or two decimal places using counting up Revise mental addition and subtraction (Place Value and near multiples) Add pairs of 5-digit numbers (f-digit answers) Use decomposition to subtract pairs of 5-digit numbers Number -Addition and subtraction Use place value to add and subtract; add and subtract near multiples of 100 and 1000 Add and subtract 1, 10, 100, 1000, 10,000 and 100,000 to/from six-digit numbers Use counting up to subtract four digitnumbers from multiples of 1000 Subtract pairs of two-digit numbers with one decimal place Find change from 100; use column addition to add amounts Find the difference between amounts of money Use decomposition to subtract pairs of five-digit numbers Use decomposition to subtract pairs of five-digit numbers Use decomposition to subtract pairs of fivedigit numbers and four-digit numbers from five-digit numbers; solve word problems Revise column addition of four-digit and five-digit numbers Revise column addition and subtraction of four-digit and five-digit numbers Use written addition to add decimals; use rounding to estimate totals Adding decimal numbers Subtract pairs of nos with same number of decimal places Subtract pairs of numbers with different numbers of decimal places, e.g and Number - Addition and subtraction Revise column subtraction of 5- digit numbers Revise using counting up to subtract pairs of numbers with two decimal places Revise using counting up to subtract numbers with different numbers of decimal places (1 or 2); Solve subtraction word problems Use counting up to find change and differences between prices; Check subtraction with addition Revise column addition and subtraction of decimals and money Solve single and multi-step problems, working out which calculation(s) are necessary.

25 Number - Addition and subtraction Add/subtract 1s, 10s, 100s, 1000s and 10,000s Revise using column addition to add pairs of 4-digit numbers Add amounts of money using column addition; Use using rounding to check answers Begin to use column addition to add pairs of 5-digit numbers Find change from 20, 50 and 100 Subtract amounts of money Use column subtraction (decomposition) to subtract pairs of 4-digit numbers Choose whether to use counting up or column subtraction (decomposition) to work out given calculations Add and subtract multiples of 0.1 or 0.01 without crossing multiples of 0.1 or 1 Subtract pairs of numbers with one decimal place Subtract pairs of numbers with two decimal places using counting up Subtract pairs of numbers with one or two decimal places using counting up Revise mental addition and subtraction (Place Value and near multiples) Add pairs of 5-digit numbers (f-digit answers) Use decomposition to subtract pairs of 5-digit numbers Number -Addition and subtraction Use place value to add and subtract; add and subtract near multiples of 100 and 1000 Add and subtract 1, 10, 100, 1000, 10,000 and 100,000 to/from six-digit numbers Use counting up to subtract four digitnumbers from multiples of 1000 Subtract pairs of two-digit numbers with one decimal place Find change from 100; use column addition to add amounts Find the difference between amounts of money Use decomposition to subtract pairs of five-digit numbers Use decomposition to subtract pairs of five-digit numbers Use decomposition to subtract pairs of fivedigit numbers and four-digit numbers from five-digit numbers; solve word problems Revise column addition of four-digit and five-digit numbers Revise column addition and subtraction of four-digit and five-digit numbers Use written addition to add decimals; use rounding to estimate totals Adding decimal numbers Subtract pairs of nos with same number of decimal places Subtract pairs of numbers with different numbers of decimal places, e.g and Number - Addition and subtraction Revise column subtraction of 5- digit numbers Revise using counting up to subtract pairs of numbers with two decimal places Revise using counting up to subtract numbers with different numbers of decimal places (1 or 2); Solve subtraction word problems Use counting up to find change and differences between prices; Check subtraction with addition Revise column addition and subtraction of decimals and money Solve single and multi-step problems, working out which calculation(s) are necessary.

26 Number - Fractions Introduce mixed numbers, turn improper fractions into mixed numbers and vice versa Compare and order fractions with related denominators Add fractions with related denominators Subtract fractions with related denominators Find unit and non-unit fractions of amounts Find equivalent fractions; Simplify fractions Compare fractions with related denominators Number - Fractions including decimals Revise comparing fractions with related denominators using equivalence Use mental division strategies to find unit fractions of amounts Find non-unit fractions of amounts Find fractions, multiply and divide to solve word problems Know decimal equivalents for halves, quarters, fifths, tenths and hundredths Multiply unit fractions by whole numbers Multiply non-unit fractions by whole numbers Number Fractions including decimals and percentages Introduce percentages Know equivalence between percentages and fractions Use equivalence with fractions to find percentages Use equivalence to compare and order fractions; Convert improper fractions to mixed numbers Revise adding and subtracting fractions with related denominators Add and subtract mixed numbers with related denominators Solve problems requiring scaling by simple fractions Revise multiplying fractions by whole numbers; Simplify answers Multiply mixed numbers by whole numbers Understand and use equivalence.

27 Geometry Sort 3D shapes according to their properties; Visualise 3D shapes from 2D drawings Visualise 3D shapes from 2D drawings; Describe properties of prisms and pyramids Describe properties of 2D shapes including polygons Describe properties of polygons Classify quadrilaterals Measurement Convert between grams and kilograms, millilitres and litres (mainly to one decimal place) Convert between metres and kilometres; know approximate conversion between miles and km; Know regularly used imperials units and approximate metric equivalents Read timetables using the 24-hour clock; calculate time intervals Calculate time intervals using the 24-hour clock Geometry Plot points and draw polygons in two quadrants. Work out new co-ordinates after a translation. Reflect a shape and write the new co- ordinates. Find the perimeters of rectangles and composite shapes Work out the missing lengths of sides in order to find perimeters Find areas of squares and rectangles in cm 2 or m 2 Estimate area of irregular shapes; calculate the area from scale drawings Find and estimate volumes Geometry Measure and draw angles using a protractor Recognise acute, obtuse and reflex angles Know that angles on a straight line add up to 180 ; use this to find missing angles Know that angles on a straight line add up to 360 and use this to find missing angles Draw polygons to given dimensions and angles Measurement Read timetables using the 24-hour clock; calculate time intervals Calculate time intervals and find a time a given number of minutes or hours and minutes later Introduce rate Solve problems involving rate Convert between kilograms and grams, litres and millilitres, metres and kilometres Statistics Begin to draw line graphs and read intermediate points Statistics Draw line graphs of times tables. Draw a conversion graph of imperial to metric units and use it to read off equivalent measures. Statistics Draw and interpret line graphs and read intermediate points

28 2014 National Curriculum Maths Topics Year 6 Topics Autumn Term Spring Term Summer Term Number and place value Revise understanding of what each digit represents in a numbers with up to two decimal places Revise using decimal notation for tenths and hundredths Begin to recognise and use decimals with three places Order numbers with up to two decimal places (including different numbers of places) and place them on a number line Round a number with two decimal places to the nearest tenth or to the nearest whole number Give a number between two numbers with one decimal place, e.g. 2.5 and 2.6, and use correctly the symbols for >, < and = Count on and back in steps of 0.1, 0.25 Recognise and extend number sequences Revise finding factors of two-digit numbers Number and place value Multiply and divide any number from 1 to by 10, 100 or 1000 and understand the effect Multiply and divide decimals by 10 or 100 (answers up to two places for division) Understand the effect of multiplying or dividing by 10, 100 or 1000 Round whole numbers to the nearest 10, 100 or 1000 Estimate where four-digit numbers lie on an empty line Count on and back in repeated steps, including through zero Find the difference between a positive and a negative integer, and between two negative integers in a context such as temperature or on the number line Order a set of positive and negative integers Describe a relationship in words, and then express it in a formula using letters as symbols, e.g. stamps cost 32p each, so n stamps cost 32n Substitute numbers for letters in simple formulae Number and place value Revision Order numbers with up to three decimal places (including different numbers of places) and place them on a number line Begin to recognise and use decimals with three places Find the difference between a positive and a negative integer, and between two negative integers in a context such as temperature or on the number line Order a set of positive and negative integers Compare numbers up to 1 million, find a number in-between, use < and > signs Recognise multiples of 2 to 10 up to the 10th multiple Find common multiples Find factors of two-digit numbers Make and justify estimates and approximations of large numbers e.g. how many pennies might be a in a line 1km long Explain methods and reasoning orally Recognise squares of all numbers to at least Square multiples of ten, e.g