National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 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 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 1 Block A1.a and A1.b Summary Objectives Count on and back in 1s or 10s; Count up to 100 objects by grouping in 5s/10s Estimate up to 50 objects; Compare two 3-digit numbers 2 A1.c and A1.d Y2: Partition numbers into T and U; Order numbers up to 100 Y3: Partition numbers into H, T and U; Count on and back in 100s Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y2: Count on and back in 1s or 10s from a 2- or 3-digit number Y2: Read and write 2- and 3-digit numbers in figures and words; describe and extend number sequences and recognise odd and even numbers 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 2 Number Number facts read and write numbers to 100 3 Number Number facts read and write numbers to 1000 4 Number Number facts Compare [and estimate] with numbers up to 1000 Y2: Begin to count up to 100 objects by grouping in 5s or 10s Y2: Estimate a number of objects up to 50 Y3: Count up to 100 objects by grouping in 5s or 10s Y3: Estimate a number of objects up to 100 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 No matching skills Y2: Partition 2-digit numbers into T and U Y2: Know what each digit in a 2-digit number represents, including 0 as a place holder 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 Y2: Order numbers up to at least 100 and position them on a 100-square Y3: Say the number that is 1, 10 or 100 more or less than a given number Y3: Count on and back in 100s from any number 3 Number Number facts compare [and estimate with] numbers up to 100 Page 2 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 3 Block B1.a and B1.b Summary Objectives Y2: Add by counting on in 1s; Know addition/subtraction facts for pairs up to 9 Y3: Know addition/subtraction facts for pairs up to 20; Add several numbers 4 B1.c and B1.d Y2: Add 3 numbers, putting largest first; Relate addition/subtraction facts to missing number sentences Y3: Add and subtract 1-digit numbers to and from 2- or 3-digit numbers Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y2: Add by counting on in 1s from the larger number, 2 crossing a multiple of 10 Y2: Recognise addition as counting on Y3: Know by heart addition and subtraction facts for 3 pairs of numbers that total up to 20 Y3: Rehearse pairs of multiples of 10 that total 100 Y3: Extend use of patterns of similar calculations 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 Number Number facts use mental strategies to recall number facts within 20 2 Y2: Know by heart addition and subtraction facts for pairs of numbers that total up to 10 Y2: Use the +, - and = signs to record addition and subtraction sentences 2 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 Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 Number Estimate use checking strategies: – repeat addition in a different order Y2: Add three numbers by putting the largest number 2 first Y2: Recognise that addition can be done in any order Y2: Use the + and = signs to record addition 2 sentences 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 Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 Number Estimate use checking strategies: – repeat addition in a different order 2 Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 Y2: Rehearse addition and subtraction facts for pairs of numbers that total 10 Y2: Recognise the use of a symbol to stand for an unknown number Y2: Relate addition and subtraction facts to missing number sentences 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 Page 3 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 5 Block C1.a and C1.b Summary Objectives Y2 and Y3: Estimate, measure and compare lengths in cm and m; Use a ruler Y3: Use decimal notation for m and cm 6 C1.c and C1.d Y2: Use units of time: hours in a day, days in a week, months in a year, seasons in a year Y3: Read the time to 5 minutes on analogue and digital clocks; Solve problems involving time Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 2 Y2: Estimate, measure and compare lengths using standard units: centimetres Y2: Estimate, measure and compare capacities using standard units: litres, millilitres 2 Y3: Measure and compare lengths using standard units: metres, centimetres 3 Y3: Use a ruler to draw and measure lines to the nearest half centimetre Y3: Know the relationship between kilometres and metres, metres and centimetres 4 Measuring Length, etc. use standard units to measure: – length, height and distance: metres, half metres or centimetres Measuring Length, etc. use standard units to measure: – capacity: litres 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 Y2: Estimate, measure and compare lengths using standard units: centimetres Y2: Recognise the relationship between metres and centimetres Y3: Measure and compare lengths using standard units: metres, centimetres Y3: Know the relationship between kilometres and metres, metres and centimetres Y3: Use decimal notation for metres and centimetres 2 Measuring Length, etc. use standard units to measure: – length, height and distance: metres, half metres or centimetres 3 Measuring Length, etc. use standard units of measure: – length: measure on a ruler to the nearest ½ cm 4 Measuring Length, etc. convert metric units of length to smaller units, e.g. cm to mm, m to cm, km to m Y2: Use units of time and know the relationship between them: hours in a day, days in a week Y3: Read the time to 5 minutes on analogue clocks 3 Measuring Time tell the time to the nearest 5 minutes on an analogue clock and calculate how long it is to the next hour 3 Measuring Time read hours and minutes on a 12-hour digital clock using am/pm conventions 2 Y2: Use units of time and know the relationship between them: months in a year, seasons in a year 3 Y2: Order the months of the year Y3: Read the time on a 12-hour digital clock and to the nearest 5 minutes on an analogue clock; 3 calculate time intervals and find start or end times for a given time interval Y3: Solve problems involving time: say the number of minutes earlier or later than a given 5-minute time Measuring Time read hours and minutes on a 12-hour digital clock 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 Page 4 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 7 Block D1.a and D1.b Summary Objectives Y2: Name and sort common 2D shapes, describing features; Begin to recognise symmetry Y3: Classify and describe 2D shapes; Identify and sketch lines of symmetry 8 D1.c and D1.d Y2: Count back in 1s not crossing/crossing a multiple of 10, beginning to partition Y3: Organise and interpret data in simple lists, tally charts, frequency tables and pictograms Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y2: Use the names of common 2D shapes, including: pentagon, hexagon, octagon Y2: Sort 2D shapes and describe their features: number of sides and corners Y3: Classify and describe 2D shapes, including quadrilaterals No matching skills Y2: Begin to sketch the reflection of a simple shape in a mirror line Y2: Begin to recognise line symmetry Y2: Make symmetrical patterns by folding and cutting 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 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 Y2: Count back in 1s, crossing a multiple of 10, begin 3–4 to partition Y3: Solve a given problem by organising and interpreting data in pictograms (symbol representing 3–4 two units) Data Data represent data using: – pictograms where one symbol represents more than one unit using a key Data Data extract and interpret information from charts, timetables, diagrams and graphs Y2: Count back in 1s, not crossing a multiple of 10 Y2: Count back in 1s, crossing a multiple of 10, beginning to partition Y2: Extend understanding of subtraction as taking away Y3: Solve a given problem by organising and interpreting numerical data in simple lists, tally charts and frequency tables Page 5 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 9 Block E1.a and E1.b Summary Objectives Y2: Find totals of sets of coins; Pay an exact sum using smaller coins up to £2 Y3: Understand ×/÷ as repeated +/–; Know the multiplication facts for the ×2 table 10 E1.c and E1.d Y2: Know doubles for numbers up to 15; Double and half multiples of 5 and 10 Y3: Know doubles for numbers to 20; Recognise fractions and find unit fractions of numbers Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y2: Recognise all coins and begin to use £.p notation 2 for money 3 Y2: Find totals of sets of coins: relate to adding three or more numbers 3 Y3: Understand multiplication/division as repeated addition/subtraction Y3: Understand division as the inverse of multiplication Number Money find totals and give change from multiples of 10p Number Estimate check multiplication using repeated addition Number Money use different combinations of money to pay for items up to £2 2 Y2: Pay an exact sum using smaller coins up to £2 Y2: Solve ‘real-life’ problems involving money (paying 3 an exact sum) Y3: Know by heart the multiplication facts for the 2 times table 3 Y3: Derive division facts corresponding to the 2 times table 3 Number Number facts recall and use 2 [,5 and 10] multiplication tables Number Number facts recall 2 [, 3, 4, 5 and 10] multiplication tables and use to solve multiplication and division problems Number Money use different combinations of money to pay for items up to £1 Number Money use different combinations of money to pay for items up to £2 [and calculate the change] Y2: Know by heart doubles for numbers up to at least 15 and the corresponding halves Y2: Recognise halving as the inverse of doubling Y3: Know by heart doubles of numbers up to 20 and the corresponding halves 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 2 Number Number facts use mental recall of number facts to 10 to derive other facts, i.e.: – doubling and halving, e.g. derive 40 + 40 from knowing 4 + 4 2 Number Estimate use checking strategies: – use halving and doubling within 20 3 Number Calculate use partitioning to double and halve 2-digit numbers 3 Number Estimate check halving using doubling Y2: Begin to derive doubles of multiples of 5 up to 100 and the corresponding halves Y2: Begin to halve multiples of 10 up to 100 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 measure 3 Number Fractions, etc. find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1⁄5 of 15 Page 6 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 11 Block A2.a and A2.b Summary Count on and back in 1s, 10s, 50s or 100s from zero Recognise odd and even numbers to 50 Objectives 12 A2.c and A2.d Y2: Use ordinal numbers; Compare 2-digit numbers; Say number lying between 2 numbers Y3: Round numbers; Order numbers up to 1000; Say number lying between 2 3digit numbers 13 B2.a and B2.b Y2: Know addition/subtraction facts for pairs that total 10; Add 3 single-digit numbers mentally Y3: Know pairs of multiples of 100 that total 1000; Add to make the next multiple of 100 Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill No matching skills Y2: Count on and back in 1s or 10s from a 2- or 3-digit number Y2: Count on and back in 100s from a multiple of 100 Y3: Count on in 10s, 100s or 50s from zero Y3: Recognise multiples of 10, 100 and 50 Y2: Begin to recognise odd and even numbers up to at least 50 Y2: Count on in 2s (revise) Y3: Recognise odd and even numbers up to at least 50 2 Number Number facts recall and use 2 [, 5 and 10] multiplication tables Y2: Understand and use ordinal numbers up to at least 100th Y3: Round numbers less than 100 to the nearest 10 4 Number Estimate estimate by rounding to the nearest 10 [or 100] Y2: Compare two or more 2-digit numbers; introduce the greater than (>), less than (<) signs Y2: Say a number lying between two numbers, up to at least 100 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 2 Number Number facts compare and order 2-digit numbers 3 Number Number facts compare [and estimate with] numbers up to 100 4 Number Number facts compare [and estimate with] numbers up to 1000 Y2: Rehearse addition and subtraction facts for pairs of numbers that total up to 10 Y3: Know by heart pairs of multiples of 100 that total 1000 Y3: Derive all pairs of multiples of 5 that total 100 2 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 2 Y2: Begin to add three 1-digit numbers mentally 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 Page 7 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 14 Block B2.c and B2.d Summary Objectives Y2: Read time to the hour and half hour; Estimate, measure and compare weights (kg and g) Y3: Use units of time: days, hours, minutes, seconds; Measure and compare capacities (l and ml) 15 C2.a and C2.b Y2: Name and sort 3D shapes and describe their features Y3: Classify and describe prisms; Know properties of 3D shapes Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 2 Measuring Time read ‘half past’, [‘quarter past’ and ‘quarter to’] on an analogue clock 2 Measuring Time read hours [and minutes] on a 12-hour digital clock 2 Y2: Estimate, measure and compare weights using standard units: kilograms, grams Y2: Begin to recognise the relationship between 3 grams and kilograms Y2: Begin to read simple weighing scales to the nearest labelled division Y3: Read a capacity scale to the nearest labelled and unlabelled division Y3: Measure and compare capacities using standard units: litres, millilitres Y3: Know the relationship between litres and millilitres Measuring Length, etc. use standard units to measure: – weight/mass: kilograms or 10 gram weights Measuring Length, etc. use standard units of measure: – capacity: use litres and half litres; measure to the nearest 100ml Y2: Read the time to the hour and half hour on analogue and 12-hour digital clocks Y3: Use units of time and know the relationship between them: days, hours, minutes, seconds Y2: Relate solid shapes to pictures of them Y2: Use the names of common 3D shapes, including: cube, cuboid, cylinder, sphere, cone Y3: Relate prisms to pictures of them Y3: Introduce, classify and describe prisms No matching skills Y2: Sort 3D shapes and describe their features: number of faces and corners Y3: Classify and describe common 3D shapes by properties: number of faces, edges, vertices; types of face No matching skills Page 8 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 16 Block C2.c and C2.d Summary Y2: Sort, organise and interpret information in block graphs and pictograms Objectives Y3: Organise and interpret data in frequency tables and bar charts 17 D2.a and D2.b Y2: Recognise right angles as quarter turns; Recognise clockwise and anticlockwise turns Y3: Add and subtract multiples of 10; Add and subtract 2-digit numbers Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Data Data gather and record data from: – block graphs Data Data extract and interpret information from charts, timetables, diagrams and graphs 2 Data Data gather and record data from: – pictograms where the symbol represents one unit 2 Data Data extract and interpret information from lists, tables, diagrams and graphs 3–4 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 2 Y2: Recognise whole, half and quarter turns Y2: Know that a right angle is a measure of a quarter turn 2 Y2: Recognise right angles in simple shapes Y3: Add and subtract a multiple of 10 to and from a 2- 3 digit number, crossing 100 when adding Y3: Add and subtract a multiple of 10 to and from a 3digit number, beginning to cross 100 Y3: Add and subtract two 2-digit numbers, beginning to cross a multiple of 10 Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise Measuring Area, etc. recognise that a quarter turn is a right angle Number Calculate use mental strategies to add and subtract 2-digit numbers 2 Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise 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 Y2: Sort, organise and interpret information in a block 2 graph Y3: Organise and interpret numerical data in 3–4 frequency tables Y2: Sort, organise and interpret information in a pictogram Y3: Organise and interpret numerical data in bar charts Y2: Give instructions for moving along a route in straight lines and round corners Y2: Recognise clockwise and anti-clockwise turns 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 Page 9 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 18 Block D2.c and D2.d Summary Objectives Strand Element Skill Y2: Subtract a multiple of 10 from a 2-digit number by 3 counting back in 10s Y3: Add and subtract a multiple of 10 to and from a 34 digit number, crossing 100 Y3: Add and subtract a multiple of 100 to and from a 4-digit number, crossing 1000 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 2 Y2: Add and subtract 9 and 11 by adding and subtracting 10 Y2: Begin to add and subtract 19 and 21 by adding and subtracting 20 3 Y3: Add and subtract 9 and 11 to and from a 2- or 3-digit number Y3: Add and subtract 19 and 29 to and from a 2- or 3digit number Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 Number Calculate use mental strategies to add and subtract 2-digit numbers 2 Number Number facts recall and use 2, 5 and 10 multiplication tables 3 Number Number facts recall [2, 3, 4,] 5 and 10 multiplication tables and use to solve multiplication and division problems E2.a and E2.b Year Y2: Subtract a multiple of 10; Add/subtract 9, 11, 19, 21 by adding and subtracting 10 and 20 Y3: Add/subtract a multiple of 10/100; Add/subtract 9, 11, 19, 29 to and from a 2- or 3-digit number 19 Numeracy Framework for Wales Y2: Count on in 2s, 5s, 10s; Recognise odd and even numbers; Understand multiplication as ‘lots of’ Y3: Know multiplication facts for x5 and x10 tables; Know division is the inverse of multiplication Last updated: 6th August 2013 Y2: Count on in 2s, 5s or 10s up to 100 Y2: Begin to recognise odd and even numbers up to at least 100 Y3: Know by heart the multiplication facts for the 5 and 10 times tables Y3: Derive division facts corresponding to the 5 and 10 times tables Y3: Count on in 10s, 100s or 50s from zero Y3: Count on in 5s to 100, and in 50s to 1000 Y2: Introduce multiplication as ‘lots of’ Y2: Introduce the × sign 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 No matching skills Page 10 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 20 21 Block E2.c and E2.d A3.a and A3.b Summary Numeracy Framework for Wales Objectives Strand Element Skill 3 Number Number facts recall [2,] 3 [,4,5 and 10] multiplication tables [and use to solve multiplication and division problems] 4 Number Number facts use mental strategies to recall multiplication tables for [2,] 3, [4, 5,] 6 [and 10] and use to solve division problems Y3: Know x3 table; Recognise non-unit fractions; Find nonunit fractions of shapes and numbers Y2: Record multiplication facts using × and = in number sentences Y2: Introduce multiplication as repeated addition or as describing an array Y2: Introduce division as the inverse of multiplication Y3: Know by heart the multiplication facts for the 3 times table Y3: Derive division facts corresponding to the 3 times table Y3: Begin to know multiplication facts for the 6 times table and corresponding division facts Y2: Begin to understand division as grouping Y2: Introduce division as the inverse of multiplication Y2: Introduce the ÷ sign Y3: Find non-unit fractions of shapes and numbers Y3: Recognise non-unit fractions 3 Number Fractions, etc. find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1⁄5 of 15 4 Number Fractions, etc. recognise fractions that are several parts of a whole, e.g. 2⁄3, 3⁄10 Y2: Partition numbers in to H, T and U; Begin to round numbers less than 100 to nearest 10 2 Y2: Read and write numbers up to 100 in words Y2: Begin to partition 3-digit numbers into H, T and U 3 Y2: Begin to read and write numbers up to 1000 in figures 4 Y3: Add a 2-digit number to a 2-, 3- or 4-digit number by partitioning into T and U then recombining Number Number facts read and write numbers to 100 Number Number facts read and write numbers to 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 Y3: Add by partitioning; Round 3-digit numbers to nearest 10/100; Understand and use £.p 4 Y2: Begin to round numbers less than 100 to the nearest 10 Y3: Begin to round 3-digit numbers to the nearest 100 and 10 Y3: Understand and use £.p notation Number Estimate estimate by rounding to the nearest 10 or 100 Y2: Multiply by adding repeatedly; Use x and = signs; Begin to understand division as grouping Last updated: 6th August 2013 Year Page 11 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 22 Block A3.c and A3.d Summary Objectives Y2: Know pairs of multiples of 10 that total 100; Use pairs that total 10 to make next multiple of 10 Strand Element Skill 2 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 2 Number Number facts recall and use 2, 5 [and 10] multiplication tables 3 Number Number facts recall 2 [, 3, 4,] 5 [and 10] multiplication tables and use to solve multiplication and division problems Y2: Know by heart addition and subtraction facts for pairs of numbers that total 20 Y2: Use pairs that total 10 to make the next multiple of 10 Y3: Know by heart the multiplication facts for 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) 2 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 3 Number Number facts use mental strategies to recall number facts within 20 3 Number Number facts recall [2, 3,] 4 [, 5 and 10] multiplication tables and use to solve multiplication and division problem Y2: Add by bridging a multiple of 10; Find the difference between two numbers by counting on Y2: Add a 1-digit number to a 2-digit number, crossing a multiple of 10 (rehearse) Y2: Begin to add by bridging a multiple of 10 (36 + 8 = 36 + 4 + 4) Y3: Add by identifying near doubles, using doubles already known 2 Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 3 Number Calculate use mental strategies to add and subtract 2-digit numbers Y3: Add by identifying near doubles; Solve ‘real- life’ problems involving money Y2: Extend understanding of relationship of subtraction to difference Y2: Find the difference between two numbers by counting on Y3: Extend understanding that subtraction is the inverse of addition Y3: Solve ‘real-life’ problems involving money (comparing amounts) 2 Number Calculate find small differences within 20 by using ‘counting on’ strategies 3 Number Estimate check subtraction using addition 3 Number Money order and compare items up to £10 B3.a and B3.b Year Y2: Begin to recognise odd and even numbers up to at least 100 Y2: State the subtraction corresponding to a given addition, and vice versa Y2: Know by heart pairs of multiples of 10 that total 100 Y2: Use patterns of similar calculations Y2: Know by heart addition and subtraction facts for pairs of numbers that total up to 10 Y3: Recognise odd and even numbers up to at least 100 Y3: Count on in 5s to 100, and in 50s to 1000 Y3: Recognise odd and even numbers; Count on in 5s and 50s; Know x4 multiplication facts 23 Numeracy Framework for Wales Last updated: 6th August 2013 Page 12 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 24 Block B3.c and B3.d Summary Objectives Y2: Describe 2D and 3D shapes; Recognise halves and quarters of shapes and numbers of objects Y3: Make and describe right-angled turns; Recognise and use compass directions, N, S, E, W 25 C3.a and C3.b Y2: Estimate, measure and compare capacity in litres and millilitres; read a simple capacity scale Y3: Locate positions on a grid; Measure and compare weights in kilograms and grams Last updated: 6th August 2013 Numeracy Framework for Wales Y2: Classify and describe common 2D and 3D shapes Y2: Make models, shapes and patterns and describe their features 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 Year 2 Y2: Begin to recognise halves and quarters of shapes 2 Y2: Recognise fraction notation 2 Y2: Begin to recognise halves and quarters of small numbers of objects 3 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 Strand Element Skill Measuring Area, etc. Number Fractions, etc. Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise Measuring Area, etc. use the four compass points to describe directions recognise that a quarter turn is a right angle find halves and quarters in practical situations Y2: Begin to read a simple capacity scale to the nearest labelled and unlabelled division Y2: Estimate a capacity, recording estimates Y2: Measure capacities using uniform non-standard units (revise) Y3: Locate position on a grid with the rows and columns labelled 2 Measuring Length, etc. use standard units to measure: – capacity: litres 3 Measuring Length, etc. use standard units of measure: – capacity: use litres and half litres; measure to the nearest 100ml Y2: Estimate, measure and compare capacities using standard units: litres, millilitres Y2: Read a simple capacity scale to the nearest labelled and unlabelled division 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 2 Measuring Length, etc. use standard units to measure: – capacity: litres 3 Measuring Length, etc. use standard units of measure: – weight/mass: use 5g, 10g and 100g weights 3 Measuring Length, etc. use standard units of measure: – capacity: use litres and half litres; measure to the nearest 100ml 4 Measuring Length, etc. use weighing scales with divisions to weigh objects to the nearest 5g, 10g, 25g or 100g Page 13 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 26 27 Block C3.c and C3.d D3.a and D3.b Summary Objectives Y2: Use units of time: hours, minutes, seconds; Read time to the quarter hour Y3: Use units of time: years, months, weeks, days, hours; Sort data in Venn and Carroll diagrams Y2: Add a 1-digit number to a 2-digit number; add two 2digit numbers; Subtract 2-digit numbers Y3: Use informal written methods to record addition; Use column addition to add 2-/3-digit numbers Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y2: Use units of time and know the relationship between them: hours, minutes, seconds 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 use calendars to plan events Y2: Read the time to the quarter hour on analogue and 12-hour digital clocks Y3: Classify and sort data according to one or two criteria in Venn and Carroll diagrams 2 Measuring Time read ‘half past’, ‘quarter past’ and ‘quarter to’ on an analogue clock 2 Measuring Time read hours and minutes on a 12-hour digital clock 3–4 Data Data represent data using: – Venn and Carroll diagrams 2 Y2: Partition additions into T and U, then recombine Y2: Add a 1-digit number to a 2-digit number, bridging a multiple of 10 without crossing 100 Y2: Add two 2-digit numbers using an appropriate 3 strategy Y3: Add a 2-digit number to a 2-, 3- or 4-digit number 4 by partitioning into T and U then recombining Y3: Use informal written methods to record additions for 2- and 3-digit numbers Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 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 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 Y2: Subtract one 2-digit number from another using an appropriate strategy Y2: Understand that subtraction is the inverse of addition, using missing number sentences Y3: Begin to use column addition to add 2- and 3-digit numbers Page 14 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 28 Block D3.c and D3.d Summary Objectives Y2: Add/subtract 1- digit number to/from multiple of 100; Organise/interpret information in a table Y3: Find a difference by counting on; Subtract 2- and 3-digit numbers using informal methods 29 E3.a and E3.b Y2: Know x2, x5 and x10 tables; Understand multiplication as repeated addition (division as inverse) Y3: Understand division as grouping; Multiply by 10 and 100, shifting digits to the left Last updated: 6th August 2013 Numeracy Framework for Wales Year Skill Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 Number Calculate find differences within 100 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 2 Data Data gather and record data from: – lists and tables 2 Data Data [extract and] interpret information from [lists,] tables [, diagrams and graphs] 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 Number Number facts recall and use 2, 5 and 10 multiplication tables Reasoning Review interpret answers within the context of the problem and consider whether answers, including calculator, analogue and digital displays, are sensible Number Calculate use mental strategies to recall multiplication tables for 2, 3, 4, 5, 6 and 10 and use to solve division problems 3 Number Number facts multiply numbers by 10 4 Number Number facts multiply [and divide] numbers by 10 and 100 Y2: Know by heart the multiplication facts for 2, 5 and 2 10 times tables 3–6 Y2: Begin to recognise 2-digit multiples of 2, 5 and 10 Y3: Understand division as grouping Y3: Find remainders after simple division 4 Y3: Round up or down after division, depending on the context Y2: Begin to understand division as grouping Y2: Understand that division sometimes leaves a remainder Y2: Begin to understand multiplication as repeated addition or as describing an array Y2: Begin to understand division as the inverse of multiplication Y3: Understand division as grouping Y3: Find remainders after simple division Y3: Multiply by 10 and 100, shifting the digits 1 or 2 places to the left Y3: Use known facts to multiply a multiple of 10 by a 1-digit number Element Number Y2: Add and begin to subtract a 1-digit number to and 2 from multiples of 10 and 100 Y3: Find a difference between two 2- or 3-digit numbers by counting on 3 Y3: Use informal written methods to record subtractions for 2- and 3-digit numbers 4 Y2: Organise information in a table Y2: Interpret information from a table Y3: Use informal written methods to record subtractions for 2- and 3-digit numbers Strand Page 15 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2–3 Abacus Evolve Week 30 Block E3.c and E3.d Summary Y2: Know relationship between halves and quarters; Double/halve multiples of 5/10 Y3: Recognise simple equivalent fractions; Find totals, pay with coins and give change Last updated: 6th August 2013 Numeracy Framework for Wales Objectives Year Strand Element Skill 2 Number Fractions, etc. 2 Y2: Double multiples of 5 up to 50 Y2: Halve multiples of 10 up to 100 Y2: Add by identifying near doubles for multiples of 5 Y3: Rehearse £.p notation Y3: Find totals, give change and work out which coins to pay 2 Number Number facts use mental recall of number facts to 10 to derive other facts, i.e.: – doubling and halving, e.g. derive 40 + 40 from knowing 4 + 4 – bonds of 10, e.g. derive 60 + 40 from knowing 6 + 4 Number Calculate use mental recall of number facts to 10 and place value to add or subtract larger numbers, e.g. 24 + 4, 30 + 5, 34 + 10 3 Number Money use different combinations of money to pay for items up to £2 and calculate the change Y2: Recognise that two quarters and one half are equivalent Y2: Begin to recognise that two halves or four quarters make one whole Y2: Begin to position halves on a number line Y3: Begin to recognise simple equivalent fractions Y3: Compare familiar fractions find halves and quarters in practical situations Page 16 of 16