National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Strand and Element abbreviations Reasoning = Developing numerical reasoning Number = Using number skills Measuring = Using measuring skills Data = Using data skills Identify Represent Review Number facts Fractions, etc. Calculate Estimate Money Length, etc. Time Temperature Area etc. Data = Identify processes and connections = Represent and communicate = Review = Use number facts and relationships = Fractions, decimals, percentages and ratio = Calculate using mental and written methods = Estimate and check = Manage money = Length, weight/mass, capacity = Time = Temperature = Area and volume / Angle and position = Collect and record data / Present and analyse data / Interpret results Text omitted from skills In some instances, only part of a skill will be covered in an Abacus Evolve week. For example, in Abacus Evolve Year 1 Week 8, learners subtract one 1-digit number from another. The skill that most closely matches this is Using number skills > Calculate using mental and written methods > add and subtract numbers involving up to 10 objects. But since the addition part isn’t covered in this week, the skill is presented as follows: [add and] subtract numbers involving up to 10 objects ‘Begin to’ objectives Abacus Evolve has lots of small objectives, and some are stepping stones on the way towards more ‘milestone’ objectives. In some weeks, learners are likely to be working towards a skill, rather than fully ‘mastering’ it. We have indicated these instances by prefacing the skill with [Begin to]. For example, in Abacus Evolve Year 3 Week 21, learners are beginning to round 3-digit numbers to the nearest 100 and 10. The equivalent skill from Year 4 is presented as follows: [Begin to] estimate by rounding to the nearest 10 or 100 Numerical reasoning skills In Abacus Evolve, numerical reasoning is embedded throughout. (For example: whole-class investigations; extension suggestions on workbook pages; ‘Owls’ and ‘Explores’ on textbook pages; group activities; interactive problem solving and speaking and listening activities.) We don’t list ‘using and applying’-type objectives in the teaching plans, because we would run out of space! For the same reason, we haven’t included the Developing numerical reasoning skills in these charts. Abacus Evolve weeks with no matching skills There are some weeks of Abacus Evolve for which there are no relevant skills. However, this doesn’t mean that those weeks don’t need to be taught. Not every element of the National Curriculum mathematics programme of study is included in the LNF, but you will still need to cover the curriculum in full. Last updated: 6th August 2013 Page 1 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 1 Block A1.a Summary of maths covered Objectives Compare two 3-digit numbers A1.b Partition 3-digit numbers into H, T and U 2 A1.c Count up to 100 objects by grouping in 5s or 10s A1.d Count on and back in 100s from any number 3 B1.a Know addition and subtraction facts for pairs that total up to 20 B1.b 4 Numeracy Framework for Wales Add several numbers by finding pairs that total 9, 10 or 11 Year Strand Element Skill 3 Number Number facts read and write numbers to 1000 3 Number Number facts compare and estimate with numbers up to 100 3 Y3: Partition 3-digit numbers into H, T and U Y3: Know what each digit in a 3-digit number represents, including 0 as a place holder Number Number facts read and write numbers to 1000 2 Number Number facts count sets of objects by grouping in [2s,] 5s or 10s 3 Number Number facts compare and estimate with numbers up to 100 Y3: Count on and back in 1s or 10s up to at least 1000 Y3: Read and write numbers up to 1000 in figures and words Y3: Compare two 3-digit numbers Y3: Count up to 100 objects by grouping in 5s or 10s Y3: Estimate a number of objects up to 100 No matching skills Y3: Count on and back in 100s from any number Y3: Say the number that is 1, 10 or 100 more or less than a given number Y3: Know by heart addition and subtraction facts for pairs of numbers that total up to 20 Y3: Extend use of patterns of similar calculations Y3: Rehearse pairs of multiples of 10 that total 100 3 Number Number facts use mental strategies to recall number facts within 20 Y3: Add several numbers by finding pairs that total 9, 10 or 11 Y3: Continue to recognise that addition can be done in any order 2 Number Estimate use checking strategies: – repeat addition in a different order 3 Number Number facts use mental strategies to recall number facts within 20 B1.c Classify and describe 2D shapes, including quadrilaterals Y3: Classify and describe 2D shapes, including quadrilaterals No matching skills B1.d Identify and sketch lines of symmetry in simple shapes Y3: Sketch the reflection of a simple shape in a mirror line along one edge Y3: Identify and sketch lines of symmetry in simple shapes Y3: Recognise shapes with no lines of symmetry No matching skills Last updated: 6th August 2013 Page 2 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 5 Block C1.a Summary of maths covered Measure and compare lengths in metres and centimetres Objectives 6 7 Year Y3: Use a ruler to draw and measure lines to 3 the nearest half centimetre Y3: Know the relationship between kilometres and metres, metres and 4 centimetres Y3: Measure and compare lengths using standard units: metres, centimetres Strand Element Skill Measuring Length, etc. use standard units of measure: – length: measure on a ruler to the nearest ½ cm Measuring Length, etc. convert metric units of length to smaller units, e.g. cm to mm, m to cm, km to m C1.b Use decimal notation for metres and centimetres Y3: Use decimal notation for metres and centimetres C1.c Organise and interpret data in simple lists, tally charts and frequency tables Y3: Solve a given problem by organising and interpreting numerical data in simple lists, tally charts and frequency tables 3–4 Data Data represent data using: – lists, tally charts, tables and diagrams 3–4 Data Data extract and interpret information from charts, timetables, diagrams and graphs C1.d Organise and interpret data in pictograms Y3: Solve a given problem by organising and interpreting data in pictograms (symbol representing two units) 3–4 Data Data represent data using: – pictograms where one symbol represents more than one unit using a key D1.a Add a 1-digit number to a 2or 3-digit number, bridging a multiple of 10 Y3: Add a 1-digit number to a 2-digit number, bridging a multiple of 10 Y3: Add a 1-digit number to a 3-digit number, bridging a multiple of 10 3 Number Calculate use mental strategies to add and subtract 2-digit numbers Subtract a 1-digit number from a 2- or 3-digit number Y3: Subtract a 1-digit number from a 2-digit number, crossing a multiple of 10 Y3: Subtract a 1-digit number from a 3-digit number, not crossing a multiple of 10 3 Number Calculate use mental strategies to add and subtract 2-digit numbers D1.b 8 Numeracy Framework for Wales No matching skills D1.c Read the time to 5 minutes on analogue clocks Y3: Read the time to 5 minutes on analogue 3 clocks Measuring Time tell the time to the nearest 5 minutes on an analogue clock and calculate how long it is to the next hour D1.d Read the time on analogue and digital clocks; solve problems involving time Y3: Read the time to 5 minutes on analogue 3 and 12-hour digital clocks Y3: Solve problems involving time: say the 3 number of minutes earlier or later than a given 5-minute time Measuring Time tell the time to the nearest 5 minutes on an analogue clock and calculate how long it is to the next hour Measuring Time read hours and minutes on a 12-hour digital clock using am/pm conventions Last updated: 6th August 2013 Page 3 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 9 Block E1.a E1.b 10 E1.c E1.d Summary of maths covered Objectives Understand multiplication/division as repeated addition/subtraction Know the multiplication facts for the 2 times table Recognise unit fractions; find unit fractions of numbers Strand Element Skill Number Estimate check multiplication using repeated addition Number Number facts recall 2 [, 3, 4, 5 and 10] multiplication tables [and use to solve multiplication and division problems] 3 Y3: Derive division facts corresponding to the 2 times table Y3: Know by heart the multiplication facts for the 2 times table Y3: Find unit fractions of numbers Y3: Recognise unit fractions 3 Number Fractions, etc. use halves and quarters 3 Number Fractions, etc. halve 2-digit numbers in the context of number, money and measures 3 Number Fractions, etc. find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1/5 of 15 Y3: Know by heart doubles of numbers up to 3 20 and the corresponding halves 3 Y3: Continue to recognise halving as the inverse of doubling Y3: Derive doubles of multiples of 5 up to 100 and the corresponding halves Y3: Derive doubles of multiples of 50 up to 500 and the corresponding halves Number Calculate use partitioning to double and halve 2-digit numbers Number Estimate check halving using doubling Know doubles of numbers to 20; derive multiples of 5 and 50, and corresponding halves 12 Year 3 11 Numeracy Framework for Wales Y3: Understand multiplication/division as repeated addition/subtraction Y3: Understand division as the inverse of multiplication A2.a Round numbers less than 100 to the nearest 10 Y3: Round numbers less than 100 to the nearest 10 4 Number Estimate estimate by rounding to the nearest 10 [or 100] A2.b Order numbers to 1000; say a number lying between two 3- digit numbers Y3: Order numbers up to at least 1000 Y3: Say a number lying between two 3-digit numbers Y3: Say the number that is 1, 10 or 100 more or less than any 2- or 3-digit number 3 Number Number facts compare [and estimate with] numbers up to 100 4 Number Number facts compare [and estimate with] numbers up to 1000 A2.c Count on in 10s, 100s or 50s from zero Y3: Count on in 10s, 100s or 50s from zero Y3: Recognise multiples of 10, 100 and 50 3 Number Number facts recall [2, 3, 4, 5 and] 10 multiplication tables [and use to solve multiplication and division problems] A2.d Recognise odd and even numbers up to at least 50 Y3: Recognise odd and even numbers up to 3 at least 50 Number Number facts recall 2 [, 3, 4, 5 and 10] multiplication tables [and use to solve multiplication and division problems] Last updated: 6th August 2013 Page 4 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 13 14 15 Block Summary of maths covered Objectives Year Strand Element Skill B2.a Know pairs of multiples of 100 that total 1000 Y3: Know by heart pairs of multiples of 100 2 that total 1 000 Y3: Derive all pairs of multiples of 5 that total 100 Number Number facts use mental recall of number facts to 10 to derive other facts, i.e.: – bonds of 10, e.g. derive 60 + 40 from knowing 6 + 4 B2.b Use pairs that total 100 to make the next multiple of 100 2 Y3: Derive all number pairs that total 100 Y3: Use pairs that total 100 to make the next multiple of 100 Number Number facts use mental recall of number facts to 10 to derive other facts, i.e.: – bonds of 10, e.g. derive 60 + 40 from knowing 6 + 4 B2.c Introduce, classify and describe prisms Y3: Introduce, classify and describe prisms Y3: Relate prisms to pictures of them No matching skills B2.d Classify and describe common 3D shapes by properties Y3: Classify and describe common 3D shapes by properties: number of faces, edges, vertices; types of face No matching skills C2.a Measure and compare capacities in litres and millilitres 3 Y3: Read a capacity scale to the nearest labelled and unlabelled division Y3: Measure and compare capacities using standard units: litres, millilitres 4 Y3: Know the relationship between litres and millilitres 16 Numeracy Framework for Wales Measuring Length, etc. use standard units of measure: – capacity: use litres and half litres; measure to the nearest 100ml Measuring Length, etc. measure capacities to the nearest 50ml or 100ml No matching skills C2.b Use units of time: days, hours, minutes, seconds C2.c Organise and interpret data in frequency tables Y3: Organise and interpret numerical data in 3–4 frequency tables Data Data extract and interpret information from charts, timetables, diagrams and graphs C2.d Organise and interpret data in bar charts Y3: Organise and interpret numerical data in 3–4 bar charts Data Data represent data using: – bar charts [and bar line graphs] labelled in 2s, 5s and 10s 3–4 Data Data extract and interpret information from charts, timetables, diagrams and graphs Last updated: 6th August 2013 Y3: Use units of time and know the relationship between them: days, hours, minutes, seconds Page 5 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 17 18 19 Block Summary of maths covered Numeracy Framework for Wales Objectives Year Strand Element Skill D2.a Add and subtract a multiple of 10 to and from a 2- or 3-digit number Y3: Add and subtract a multiple of 10 to and 3 from a 2-digit number, crossing 100 when adding Y3: Add and subtract a multiple of 10 to and from a 3-digit number, beginning to cross 100 Number Calculate use mental strategies to add and subtract 2-digit numbers D2.b Add and subtract a 2-digit number to and from a 2- or 3digit number Y3: Add and subtract two 2-digit numbers, beginning to cross a multiple of 10 Y3: Add and subtract a 2-digit number to and from a 3-digit number 3 Number Calculate use mental strategies to add and subtract 2-digit numbers 4 Number Calculate add a 2-digit number to, and subtract a 2-digit number from, a 3-digit number using an appropriate mental or written method D2.c Add and subtract a multiple of 10 or 100 to and from a 3- or 4-digit number Y3: Add and subtract a multiple of 10 to and 4 from a 3-digit number, crossing 100 Y3: Add and subtract a multiple of 100 to and from a 4-digit number, crossing 1000 Number Calculate add a 2-digit number to, and subtract a 2-digit number from, a 3-digit number using an appropriate mental or written method D2.d Add and subtract 9, 11, 19 and 29 to and from a 2- or 3digit number Y3: Add and subtract 9 and 11 to and from a 3 2- or 3-digit number Y3: Add and subtract 19 and 29 to and from 4 a 2- or 3-digit number Number Calculate use mental strategies to add and subtract 2-digit numbers Number Calculate add a 2-digit number to, and subtract a 2-digit number from, a 3-digit number using an appropriate mental [or written] method Know the multiplication facts for the 5 and 10 times tables Y3: Know by heart the multiplication facts for 3 the 5 and 10 times tables Y3: Derive division facts corresponding to the 5 and 10 times tables Number Number facts recall [2, 3, 4,] 5 and 10 multiplication tables and use to E2.a E2.b Rehearse division as the inverse of multiplication Last updated: 6th August 2013 Y3: Rehearse division as the inverse of multiplication Y3: Extend understanding that multiplication can be done in any order Y3: Understand multiplication as describing an array solve multiplication and division problems No matching skills Page 6 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 20 Block E2.c Summary of maths covered Know the multiplication facts for the 3 times table Objectives 23 Strand Element Skill Y3: Know by heart the multiplication facts for 3 the 3 times table Y3: Derive division facts corresponding to 4 the 3 times table Y3: Begin to know multiplication facts for the 6 times table and corresponding division facts Number Number facts recall [2,] 3 [,4, 5 and 10] multiplication tables [and use to solve multiplication and division problems] Number Number facts [Begin to] use mental strategies to recall multiplication tables for [2, 3, 4, 5,] 6 [and 10 and use to solve division problems] Y3: Find non-unit fractions of shapes and numbers Y3: Recognise non-unit fractions 4 Number Fractions, etc. Y3: Begin to round 3-digit numbers to the nearest 100 and 10 Y3: Understand and use £.p notation 4 Number Estimate [Begin to] estimate by rounding to the nearest 10 or 100 Y3: Extend understanding that subtraction is 3 the inverse of addition 3 Y3: Solve ‘real-life’ problems involving money (comparing amounts) Number Estimate check subtraction using addition Number Money order and compare items up to £10 Round 3-digit numbers to the nearest 100 and 10; understand and use pound and pence (£.p) notation Solve ‘real-life’ problems involving money (comparing amounts) A3.c Add a 2-digit number to a 2-, 3- or 4-digit number by partitioning into T and U Y3: Add a 2-digit number to a 2-, 3- or 4-digit number by partitioning into T and U then recombining 4 Number Calculate add a 2-digit number to, and subtract a 2-digit number from, a 3-digit number using an appropriate mental or written method A3.d Add by identifying near doubles, using doubles already known Y3: Add by identifying near doubles, using doubles already known 3 Number Calculate use partitioning to double [and halve] 2-digit numbers B3.a Recognise odd and even numbers up to 100; count on in 5s and 50s Y3: Recognise odd and even numbers up to 3 at least 100 Y3: Count on in 5s to 100, and in 50s to 1000 Number Number facts recall 2, [3, 4,] 5 [and 10] multiplication tables [and use to solve multiplication and division problems] Know the multiplication facts for the 4 times table Y3: Know by heart the multiplication facts for 3 the 4 times table Y3: Derive division facts corresponding to the 4 times table Y3: Use doubling to find new facts (x4) from known facts (x2) Number Number facts recall [2, 3,] 4,[ 5 and 10] multiplication tables [and use to solve multiplication and division problems] A3.a A3.b 22 Year Recognise non-unit fractions; find non-unit fractions of shapes and numbers E2.d 21 Numeracy Framework for Wales B3.b Last updated: 6th August 2013 recognise fractions that are several parts of a whole, e.g. 2⁄3, 3⁄10 Page 7 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 24 Block B3.c Summary of maths covered Make and describe rightangled turns; identify right angles; use set squares Objectives B3.d Recognise and use the four compass directions N, S, E, W 25 Strand Element Skill Y3: Compare angles with a right angle Y3: Identify right angles in 2D shapes and the environment Y3: Recognise that a straight line is equivalent to two right angles Y3: Make and describe right-angled turns 2 Measuring Area, etc. recognise that a quarter turn is a right angle Y3: Recognise and use the four compass directions N, S, E, W Y3: Describe a route using distance and direction Y3: Make and describe right-angled turns between the four compass points 3 Measuring Area, etc. use the four compass points to describe directions Locate position on a grid with the rows and columns labelled Y3: Locate position on a grid with the rows and columns labelled C3.b Measure and compare weights in kilograms and grams Y3: Know the relationship between kilograms and grams Y3: Measure and compare weights using standard units: kilograms, grams Y3: Read weighing scales to the nearest labelled and unlabelled division 3 Measuring Length, etc. use standard units of measure: – weight/mass: use 5g, 10g and 100g weights 4 Measuring Length, etc. use weighing scales with divisions to weigh objects to the nearest 5g, 10g, 25g or 100g Y3: Use units of time and know the relationship between them: years, months, weeks, days, hours Y3: Begin to use a calendar 4 Measuring Time [Begin to] use calendars to plan events represent data using: – Venn and Carroll diagrams C3.c Use units of time: years, months, weeks, days, hours 27 Year C3.a 26 Numeracy Framework for Wales No matching skills C3.d Classify and sort data in Venn and Carroll diagrams Y3: Classify and sort data according to one or two criteria in Venn and Carroll diagrams 3–4 Data Data D3.a Use informal written methods to record additions for 2- and 3-digit numbers Y3: Use informal written methods to record additions for 2- and 3-digit numbers 4 Number Calculate add a 2-digit number to a 3-digit number using an Y3: Begin to use column addition to add 2- and 3-digit numbers 4 D3.b Begin to use column addition to add 2- and 3-digit numbers Last updated: 6th August 2013 appropriate mental or written method Number Calculate add a 2-digit number to, a 3-digit number using an appropriate mental or written method Page 8 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3 Abacus Evolve Week 28 29 30 Block Summary of maths covered Objectives D3.c Find a difference between two 2- or 3-digit numbers by counting on D3.d Use informal written methods to record subtractions for 2and 3-digit numbers E3.a E3.b E3.c Year Strand Element Skill Y3: Find a difference between two 2- or 3-digit numbers by counting on 3 Number Calculate find differences within 100 Y3: Use informal written methods to record subtractions for 2- and 3-digit numbers 4 Number Calculate [add a 2-digit number to, and] subtract a 2-digit number from, a 3-digit number using an appropriate mental or written method Understand division as grouping Y3: Understand division as grouping Y3: Find remainders after simple division Y3: Round up or down after division, depending on the context 3 Number Number facts recall 2, 3, 4, 5 and 10 multiplication tables and use to solve multiplication and division problems Multiply by 10 and 100, shifting the digits 1 or 2 places to the left Y3: Multiply by 10 and 100, shifting the digits 3 1 or 2 places to the left 4 Y3: Use known facts to multiply a multiple of 10 by a 1-digit number Number Number facts multiply numbers by 10 Number Number facts multiply [and divide] numbers by 10 and 100 Begin to recognise simple equivalent fractions E3.d Numeracy Framework for Wales Find totals, give change and work out which coins to pay Last updated: 6th August 2013 No matching skills Y3: Begin to recognise simple equivalent fractions Y3: Compare familiar fractions Y3: Rehearse £.p notation Y3: Find totals, give change and work out which coins to pay 3 Number Money use different combinations of money to pay for items up to £2 and calculate the change Page 9 of 9