National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 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 3–4 Abacus Evolve Week 1 Block A1.a Summary Know the value of each digit in a 3-, 4or 5-digit number Objectives A1.b Partition 3- or 4-digit numbers into H, T, U or Th, H, T, U 2 A1.c A1.d Y3: Count by grouping; Y4: Know multiplication as repeated addition or arrays Y3: Count on and back in 100s; Y4: Divide whole numbers and find remainders Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 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: Know what each digit in a 3-digit number represents, including 0 as a place holder Y4: Read and write numbers up to 100 000 in figures and words Y4: Know what each digit in a 5-digit number represents 3 Number Number facts read and write numbers to 1000 3 Number Number facts compare [and estimate with] numbers up to 100 4 Number Number facts read and write numbers to 10 000 4 Number Number facts compare [and estimate with] numbers up to 1000 5 Number Number facts read and write numbers to 100 000 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 Y4: Recognise the relationship between Th, H, T and U Y4: Partition 4-digit numbers into Th, H, T and U 3 Number Number facts compare [and estimate with] numbers up to 100 4 Number Number facts compare [and estimate with] numbers up to 1000 Y3: Count up to 100 objects by grouping in 5s or 10s Y3: Estimate a number of objects up to 100 Y4: Rehearse the concept of multiplication as describing an array Y4: Rehearse multiplication as repeated addition Y4: Understand and use the commutativity of multiplication 2 Number Number facts count sets of objects by grouping in [2s,] 5s or 10s 3 Number Estimate check multiplication using repeated addition Reasoning Review interpret answers within the context of the problem and consider whether answers [including calculator, analogue and digital displays] are sensible Number Number facts use mental strategies to recall multiplication tables for 2 [,3] 4, 5 [,6, 8] and 10 and use to solve division problems Number Estimate check answers using inverse operations 3–6 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 Y4: Rehearse the concept of division as grouping 4 Y4: Consolidate division as the inverse of multiplication Y4: Find remainders after division Y4: Divide a whole number of pounds by 2, 4, 5 or 10 4 to give £.p Y4: Continue to round up or down after division, depending on the context Page 2 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 3 Block B1.a Summary Know addition/subtraction facts for pairs that total up to 20, 100 or 1000 Objectives B1.b Y3: Add several numbers; Y4: Add to next 100 or 1000 4 B1.c B1.d Classify, describe, name and visualise common 2D shapes Y3: Identify lines of symmetry; Y4: Classify polygons, recognise triangles Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 2 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 Y4: Derive quickly pairs of multiples of 5 that total 100 3 Y4: Derive quickly pairs of multiples of 50 that total 1000 Y4: Derive quickly pairs of numbers 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 Number Number facts use mental strategies to recall number facts within 20 Number Calculate use mental strategies to add [and subtract] 2-digit numbers Y3: Add several numbers by finding pairs that total 9, 2 10 or 11 Y3: Continue to recognise that addition can be done in any order 3 Y4: Derive quickly pairs of numbers that total 100 Y4: Find what to add to a 2- or 3-digit number to 4 make 100 or the next multiple of 100 Y4: Find what to add to a 4-digit multiple of 100 to make the next multiple of 1000 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 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 Y3: Classify and describe 2D shapes, including quadrilaterals Y4: Rehearse the names of common 2D shapes Y4: Describe and visualise 2D shapes Y4: Begin to understand the term ‘polygon’ Y4: Construct polygons using pinboards No matching skills Y3: Identify and sketch lines of symmetry in simple shapes Y3: Recognise shapes with no lines of symmetry Y3: Classify and describe 2D shapes, including quadrilaterals Y4: Classify polygons using criteria such as number of right angles, and whether or not they are regular Y4: Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it (shape) Y4: Recognise equilateral and isosceles triangles No matching skills Page 3 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 5 Block C1.a Summary Measure and compare lengths using standard metric units Objectives 6 Numeracy Framework for Wales 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 Y3: Measure and compare lengths using standard units: metres, centimetres Y4: Use, read and write standard metric units of length: mm, cm, m, km Y4: Rehearse the relationships between metric units of length Y4: Convert centimetres to metres and vice versa Y4: Suggest suitable units and measuring equipment to estimate or measure length Y4: Know the equivalent of ½, ¼ , ¾ ,1/10 of 1 km, 1 m, in m, cm Y4: Begin to use imperial units of length: miles Year Strand Element Skill 3–6 Reasoning Identify 3 Number Fractions, etc. 3 Measuring Length, etc. 4 Number Fractions, etc. find fractional quantities using known table facts, e.g. 1/6 of 30cm 4 Measuring Length, etc. measure on a ruler to the nearest mm and record using a mix of units, e.g. 1cm 3mm 4 Measuring Length, etc. convert metric units of length to smaller units, e.g. cm to mm, m to cm, km to m. 5 Measuring Length, etc. make use of conversions, e.g. ¼ of a km = 250m select and use suitable instruments and units of measurement find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1/5 of 15 use standard units of measure: – length: measure on a ruler to the nearest ½ cm C1.b Y3: Use decimal notation for m and cm; Y4: Understand and measure area Y3: Use decimal notation for metres and centimetres Y4: Understand area as ‘covering’ in two dimensions Y4: Measure area using non-standard units Y4: Measure area using standard units: square centimetres 3 Measuring Area, etc. find areas by counting squares C1.c Organise, use and interpret data in simple lists, tally charts and frequency Y3: Solve a given problem by organising and interpreting numerical data in simple lists, tally charts and frequency tables Y4: Rehearse the use of tally charts to record observations Y4: Represent data in frequency tables Y4: Interpret 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 5–6 Data Data represent data using: – [lists, tally charts, tables, diagrams and] frequency tables Y3: Solve a given problem by organising and interpreting data in pictograms (symbol representing two units) Y4: Construct and interpret pictograms where the symbol represents 2, 5, 10 or 20 units 3–4 Data Data represent data using: – pictograms where one symbol represents more than one unit using a key 3–4 Data Data extract and interpret information from charts, timetables, diagrams and graphs C1.d Construct and interpret pictograms where symbol represents several units Last updated: 6th August 2013 Page 4 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 7 Block D1.a Summary Y3: Add 1-digit numbers to 2- or 3digit numbers; Y4: Add several numbers Objectives D1.b Y3: Subtract 1-digit from 2-digit numbers; Y4: Add several multiples of 10 or 100 8 D1.c Read time on analogue and digital clocks up to nearest minute; use am/pm D1.d Estimate/measure time using minutes/seconds; solve problems involving time Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y3: Add a 1-digit number to a 2-digit number, bridging 3 a multiple of 10 Y3: Add a 1-digit number to a 3-digit number, bridging a multiple of 10 Y4: Add several 1-digit numbers Y4: Check the sum of several numbers by adding in reverse order Y4: Add by finding pairs that total 9, 10 or 11 Y4: Add several multiples of 10 or 100 Number Calculate use mental strategies to add [and subtract] 2-digit numbers 3 Number Calculate use mental strategies to add and subtract 2-digit numbers 3 Y3: Read the time to 5 minutes on analogue clocks Y4: Read the time to the nearest minute on analogue clocks 3 Y4: Rehearse time to the nearest minute on 12-hour digital clocks 4 Y4: Use am and pm and the notation 9:53 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 Measuring Time tell the time to the nearest minute on analogue clocks 4 Measuring Time read hours and minutes on a [24-hour] digital clock Reasoning Identify estimate and visualise size when measuring and use the correct units 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 Measuring Time time and order events in seconds 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 Y4: Add and subtract 2- and 3-digit multiples of 10 Y4: Add and subtract two multiples of 100, crossing 1000 Y4: Consolidate understanding of the relationship between addition and subtraction 3–6 Y3: Read the time to 5 minutes on analogue and 12-hour digital clocks Y3: Solve problems involving time: say the number of 3 minutes earlier or later than a given 5-minute time Y4: Rehearse the use of seconds as a measure of time 3 Y4: Estimate and measure time using seconds, minutes, hours 4 Page 5 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 9 Block E1.a Summary Objectives Y3: Understand ×/÷ as repeated +/–; Y4: Count on/back in 2s/3s/4s/5s/10s/25s/ 50s E1.b Recall multiplication facts for ×2, ×3, ×4, ×5, ×10 tables and derive division facts 10 E1.c Recognise fractions and mixed numbers and find fractions of numbers E1.d Y3: Know doubles/halves up to 20/40; Y4: Recognise simple equivalent fractions Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 3 Number Number facts recall 2, 3, 4, 5 and 10 multiplication tables [and use to solve multiplication and division problems] 3 Number Estimate check multiplication using repeated addition 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] 4 Number Estimate check answers using inverse operations 3 Y3: Know by heart the multiplication facts for the 2 times table Y3: Derive division facts corresponding to the 4 2 times table Y4: Know by heart the multiplication facts for the 2, 3, 4, 5 and 10 times tables Y4: Derive division facts corresponding to the 2, 3, 4, 5 and 10 times tables Number Number facts recall 2, 3, 4, 5 and 10 multiplication tables [and use to solve multiplication and division problems] Number Number facts use mental strategies to recall multiplication tables for 2, 3, 4, 5 [, 6] and 10 [and use to solve division problems] 3 Number Fractions, etc. use halves and quarters 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 Y3: Know by heart doubles of numbers up to 20 and 2 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 3 corresponding halves 3 Y3: Derive doubles of multiples of 50 up to 500 and the corresponding halves Y4: Recognise the equivalence of simple fractions 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 Number Calculate use partitioning to double and halve 2-digit numbers Number Estimate check halving using doubling Y3: Understand multiplication/division as repeated addition/subtraction Y3: Understand division as the inverse of multiplication Y4: Count on and back in 2s, 3s, 4s, 5s or 10s Y4: Count on and back in 25s or 50s to and from 1000 Y4: Recognise and explain patterns and relationships, generalise and predict Y4: Recognise multiples of 2, 3, 4, 5 and 10, up to the tenth multiple Y3: Find unit fractions of numbers Y3: Recognise unit fractions Y4: Recognise simple fractions that are several parts of a whole Y4: Identify two simple fractions with a total of 1 Y4: Recognise mixed numbers Page 6 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 11 Block Summary Objectives Year Strand Element Skill A2.a Y3: Round numbers to nearest 10; Y4: Count on/back in 10s, 100s, 1000s Y3: Round numbers less than 100 to the nearest 10 Y4: Count on and back in 1s, 10s, 100s or 1000s from any whole number up to 100 000 Y4: Add or subtract 1, 10, 100 or 1000 to or from any integer 4 Number Estimate estimate by rounding to the nearest 10 [or 100] A2.b Order numbers, say numbers lying between two 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 Y4: Compare and order numbers up to 10 000 Y4: Say one or more numbers lying between two given numbers Y4: Use symbols for less than (<) and greater than (>) 4 Number Number facts compare [and estimate] with numbers up to 1000 Y3: Recognise odd and even numbers up to at least 50 Y3: Count on in 10s, 100s or 50s from zero Y3: Recognise multiples of 10, 100 and 50 Y4: Recognise odd and even numbers up to 1000 Y4: Recognise the properties of odd and even numbers, including their sums and differences Y4: Recognise and explain patterns and relationships, generalise and predict Y4: Use knowledge of sums or differences of odd/even numbers to check calculations 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: Count on in 10s, 100s or 50s from zero Y3: Recognise multiples of 10, 100 and 50 Y4: Recognise negative numbers in context Y4: Recognise and extend number sequences formed by counting from any number in steps of constant size, extending beyond zero when counting back 4 Measuring Temperature [take temperature readings using thermometers and] interpret readings above and below 0°C 12 Numeracy Framework for Wales A2.c Y3: Recognise odd/even numbers; Y4: Know properties of odd/even numbers A2.d Y3: Count in 10s, 100s or 50s; Y4: Recognise negative numbers Last updated: 6th August 2013 Page 7 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 13 Block B2.a Summary Objectives Y3: Know pairs of 100s that total 1000; Y4: Double/halve numbers up to 50 B2.b Y3: Add to make the next 100; Y4: Double/halve multiples of 10 and 100 14 B2.c Y3: Classify and describe prisms; Y4: Identify and draw lines of symmetry B2.d Y3: Know properties of 3D shapes; Y4: Rehearse names/nets of 3D shapes Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 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 3 Number Calculate use partitioning to double and halve 2-digit numbers 3 Y3: Derive all number pairs that total 100 Y3: Use pairs that total 100 to make the next multiple of 100 4 Y4: Derive doubles of multiples of 10 to 500, and the corresponding halves Y4: Derive doubles of multiples of 100 to 5000, and the corresponding halves Y4: Use known number facts and place value to multiply or divide mentally Y4: Identify near doubles using known doubles Number Calculate use mental strategies to add and subtract 2-digit numbers Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number Y3: Know by heart pairs of multiples of 100 that total 1000 Y3: Derive all pairs of multiples of 5 that total 100 Y4: Derive doubles of integers up to 50 and the corresponding halves Y4: Double or halve 2-digit numbers by doubling or halving the tens first Y4: Identify near doubles using known doubles Y3: Introduce, classify and describe prisms Y3: Relate prisms to pictures of them Y4: Rehearse the concept of line symmetry Y4: Classify polygons according to their lines of symmetry Y4: Sketch the reflection of a shape in a mirror line parallel to one side No matching skills Y3: Classify and describe common 3D shapes by properties: number of faces, edges, vertices; types of face Y4: Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it (shape) Y4: Begin to use the terms ‘polyhedron’ and ‘tetrahedron’ Y4: Visualise 3D shapes from 2D drawings and identify simple nets of solid shapes 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 3–4 Abacus Evolve Week 15 Block C2.a Summary Objectives Measure capacity and know the relationship between litres and millilitres C2.b 16 C2.c Use units of time (days, hours, minutes, seconds) and read timetables Y3: Organise and interpret data in frequency tables; Y4: Measure perimeter C2.d Organise and interpret data in bar graphs Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 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 Y4: Use, read and write standard metric units of capacity: l, ml Y4: Know the equivalent of ½, ¼ , ¾ ,1/10 of 1 litre in ml Y4: Suggest suitable units and measuring equipment to estimate or measure capacity Y4: Begin to use imperial units of capacity: pints Y4: Record estimates and readings from capacity scales 3–6 Reasoning Identify 3 Number Fractions, etc. 3 Measuring Length, etc. 4 Number Fractions, etc. 4 Measuring Length, etc. measure capacities to the nearest 50ml or 100ml 5 Measuring Length, etc. make use of conversions, e.g. ¼ of a km = 250m Y3: Use units of time and know the relationship between them: days, hours, minutes, seconds Y4: Read simple timetables 3–4 Data Data extract and interpret information from [charts,] timetables [, diagrams and graphs] Y3: Organise and interpret numerical data in frequency tables Y4: Begin to understand the term ‘perimeter’ Y4: Measure the perimeter of rectangles and other simple shapes Y4: Understand the difference between area and perimeter 3 Measuring Length, etc. recognise that perimeter is the distance around a shape 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 4 Measuring Length, etc. measure and calculate the perimeter of squares and rectangles 5–6 Data Data represent data using: – lists, tally charts, tables, diagrams and frequency tables 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 Y3: Organise and interpret numerical data in bar charts Y4: Construct and interpret bar graphs with intervals labelled in 2s, 5s, 10s or 20s Y4: Compare bar graphs with scales of differing step size select and use suitable instruments and units of measurement find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1/5 of 15 use standard units of: – capacity: use litres and half litres; measure to the nearest 100ml find fractional quantities using known table facts, e.g. 1/6 of 30cm Page 9 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 17 Block D2.a Summary Y3: Add/subtract multiples of 10; Y4: Add by partitioning Objectives D2.b Add and subtract 2and 3-digit numbers 18 D2.c Add or subtract near multiples of 10 to or from 2- or 3-digit numbers D2.d Y3: Add or subtract multiples of 10; Y4: Add HTU using formal/informal methods Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 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 Y4: Use known number facts and place value to add two 2-digit numbers, adding the tens first Y4: Understand the principles (not the names) of the commutative and associative laws as they apply or not to addition and subtraction Y4: Partition 2-digit numbers into T and U (revise) Number Calculate use mental strategies to add and subtract 2-digit numbers Y3: Add and subtract two 2-digit numbers, beginning 3–6 to cross a multiple of 10 3 Y3: Add and subtract a 2-digit number to and from a 3-digit number Y4: Use known number facts and place value to 4 subtract one 2-digit number from another, by counting on and back Y4: Choose and use appropriate operations and appropriate ways of calculating (mental, mental with jottings, pencil and paper) to solve problems Reasoning Identify select appropriate mathematics and techniques to use 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 Y3: Add and subtract 9 and 11 to and from a 2- or 3- 3 digit number Y3: Add and subtract 19 and 29 to and from a 2- or 34 digit number Y4: Add near multiples of 10 to 2- and 3-digit numbers Y4: Subtract near multiples of 10 from 2- and 3-digit numbers 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 Y3: Add and subtract a multiple of 10 to and from a 3- 4 digit number, crossing 100 Y3: Add and subtract a multiple of 100 to and from a 4-digit number, crossing 1000 5 Y4: Add HTU + TU, HTU + HTU using informal written methods Y4: Add HTU + TU, HTU + HTU using standard written methods Y4: Add more than two numbers using standard written methods 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 Calculate add [and subtract] 3-digit numbers using an appropriate mental or written method Page 10 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 19 Block E2.a Summary Know ×5, ×6 and ×10 multiplication facts Objectives E2.b Y3: Know division is inverse of multiplication; Y4: Know ×8 multiplication facts 20 E2.c Y3: Know multiplication ×3 facts; Y4: Compare and order fractions E2.d Y3: Recognise nonunit fractions; Y4: Find equivalent decimals and fractions Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 3 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 4 Y4: Know the multiplication facts for the 6 times table, and the corresponding division facts Y4: Use doubling to find new facts from known facts Y4: Use closely related facts: develop the ×6 table from the ×4 and ×2 tables Number Number facts recall [2,3,4,] 5 and 10 multiplication tables and use to solve multiplication and division problems 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: 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 Y4: Begin to know the multiplication facts for the 8 times table, and the corresponding division facts Y4: Use doubling to find new facts from known facts 5 Number Number facts [Begin to] use mental strategies to recall multiplication tables for [2, 3, 4, 5, 6,] 8 [and 10] and use to solve division problems 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 Y4: Compare and order fractions Y4: Locate fractions on a number line 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 [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 Y4: Use decimal notation for tenths Y4: Recognise the equivalence between the decimal and fraction forms of halves and tenths 4 Number Fractions, etc. recognise fractions that are several parts of a whole, e.g. 2⁄3, 3⁄10 5 Number Fractions, etc. use understanding of simple fraction and decimal equivalences when measuring and calculating, e.g. ½ = 0.5, 1⁄10 = 0.1 Page 11 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 21 Block A3.a A3.b Summary Objectives Round 3-digit numbers to nearest 10 or 100 Y3: Solve problems involving money; Y4: Multiply/divide by 10 or 100 22 A3.c A3.d Y3: Add by partitioning; Y4: Subtract HTU– TU and HTU–HTU Y3: Add by identifying near doubles; Y4: Subtract HTU– TU and HTU–HTU Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y3: Begin to round 3-digit numbers to the nearest 100 4 and 10 Y3: Understand and use £.p notation Y4: Round a 3-digit number to the nearest 10 or 100 Y4: Make and justify estimates up to about 250 Y4: Round a sum of money to the nearest pound Number Estimate estimate by rounding to the nearest 10 or 100 3 Number Number facts multiply numbers by 10 3 Number Estimate check subtraction using addition 3 Number Money use different combinations of money to pay for items up to £2 and calculate the change 4 Number Number facts multiply and divide numbers by 10 and 100 4 Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number Y3: Add a 2-digit number to a 2-, 3- or 4-digit number 3 by partitioning into T and U then recombining Y4: Subtract HTU – TU, HTU – HTU using informal 4 written method of complementary addition 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 5 Number Calculate [add and] subtract 3-digit numbers using an appropriate mental or written method Y3: Add a 2-digit number to a 2-, 3- or 4-digit number 3 by partitioning into T and U then recombining Y3: Add by identifying near doubles, using doubles 4 already known Y4: Subtract HTU – TU, HTU – HTU using standard written method of decomposition 5 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 Number Calculate [add and] subtract 3-digit numbers using an appropriate mental or written method Y3: Extend understanding that subtraction is the inverse of addition Y3: Solve ‘real-life’ problems involving money (comparing amounts) Y4: Multiply or divide any integer up to 1000 by 10 and understand the effect Y4: Begin to multiply integers by 100 Y4: Use known number facts and place value to multiply or divide mentally Y4: Use doubling or halving to find new facts from known facts Page 12 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 23 Block B3.a B3.b Summary Objectives Y3: Recognise odd and even numbers; Y4: Find differences by counting on Know ×4 or ×9 multiplication facts 24 B3.c Y3: Make rightangled turns; Y4: Measure clockwise/anticlockwise turns B3.d Y3: Use compass directions; Y4: Know angles are measured in degrees Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y3: Recognise odd and even numbers up to at least 100 Y3: Count on in 5s to 100, and in 50s to 1000 Y4: Find a small difference by counting on, e.g. 5003 – 4996 3 Number Number facts recall 2, [3, 4,] 5 [and 10] multiplication tables [and use to solve multiplication and division problems] 4 Number Calculate find differences within 1000 Y3: Recognise odd and even numbers up to at least 100 Y3: Count on in 5s to 100, and in 50s to 1000 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) Y4: Begin to know the multiplication facts for the 9 times table, and the corresponding division facts Y4: Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it (number) 3 Number Number facts recall 2, [3,] 4, 5 [and 10] multiplication tables and use to solve multiplication and division problems 6 Number Number facts [Begin to] use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems 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 Y4: Use the eight-point compass directions Y4: Make and measure clockwise and anti-clockwise turns 2 Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise 2 Measuring Area, etc. recognise that a quarter turn is a right angle 3 Measuring Area, etc. use the four compass points to describe directions 4 Measuring Area, etc. use eight compass points to describe direction 2 Y3: Recognise and use the four compass directions N, S, E, W Y3: Describe a route using distance and direction 3 Y3: Make and describe right-angled turns between the four compass points Y4: Rehearse measuring right-angled turns Y4: Begin to know that angles are measured in degrees Y4: Start to order a set of angles less than 180 degrees Y4: Recognise the relationship between degrees and right angles Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise Measuring Area, etc. use the four compass points to describe directions Page 13 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 25 Block C3.a Summary Locate position on a grid Objectives C3.b Measure and compare weights in kilograms and grams 26 C3.c C3.d Know and use units of time; use a calendar Organise and interpret data in Venn and Carroll diagrams Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y3: Locate position on a grid with the rows and columns labelled Y4: Locate position on a grid, based on labelling the horizontal and vertical lines Y4: Recognise simple examples of horizontal and vertical lines Y4: Begin to use the term ‘coordinate’ 5 Measuring Area, etc. [Begin to] use coordinates to specify location Y3: Know the relationship between kilograms and grams Y3: Read weighing scales to the nearest labelled and unlabelled division Y3: Measure and compare weights using standard units: kilograms, grams Y4: Use, read and write standard metric units of weight: kg, g Y4: Rehearse the relationship between grams and kilograms Y4: Know the equivalent of ½, ¼ , ¾ ,1/10 of 1 kg in g Y4: Suggest suitable units and measuring equipment to estimate or measure weight Y4: Record estimates and readings from weighing scales 3–6 Reasoning Identify select and use suitable instruments and units of measurement 3 Number Fractions, etc. 3 Measuring Length, etc. 4 Number Fractions, etc. 4 Measuring Length, etc. use weighing scales with divisions to weigh objects to the nearest 5g, 10g, 25g or 100g 5 Measuring Length, etc. make use of conversions, e.g. ¼ of a km= 250m Y3: Use units of time and know the relationship between them: years, months, weeks, days, hours Y3: Begin to use a calendar Y4: Use a calendar 4 Measuring Time use calendars to plan events Y3: Classify and sort data according to one or two criteria in Venn and Carroll diagrams Y4: Organise and interpret data represented in a Venn diagram (two criteria) Y4: Organise and interpret data represented in a Carroll diagram (two criteria) 3–4 Data Data represent data using: – Venn and Carroll diagrams 3–4 Data Data extract and interpret information from charts, [timetables,] diagrams and graphs find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, 1/5 of 15 use standard units of measure: – weight/mass: use 5g, 10g and 100g weights find fractional quantities using known table facts, e.g. 1/6 of 30cm Page 14 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 27 Block D3.a D3.b 28 D3.c Summary Y3: Use informal written methods for addition; Y4: Add amounts of money Objectives Year Y3: Use informal written methods to record additions 3–6 for 2- and 3-digit numbers Y4: Add amounts of money, e.g. £3.26 + £5.85, using standard written methods 4 Y4: Use a calculator to carry out one- and two-step calculations, correct mistaken entries and interpret the display correctly in the context of money 4 Strand Element Skill Reasoning Review interpret answers within the context of the problem and consider whether answers including calculator, [analogue and digital] displays are sensible 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 Money add [and subtract] totals less than £10 using correct notation, e.g. £6.85 – £2.76 Y3: Use column addition; Y4: Subtract money using decomposition Y3: Begin to use column addition to add 2- and 3-digit numbers Y4: Subtract amounts of money, e.g. £8.40 - £3.76, using standard written method of decomposition 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 4 Number Money [add and] subtract totals less than £10 using correct notation, e.g. £6.85 – £2.76 Y3: Find a difference by counting on; Y4: Know ×7 facts Y3: Find a difference between two 2- or 3-digit numbers by counting on Y4: Begin to know the multiplication facts for the 7 times table, and the corresponding division facts Y4: Use closely related facts: develop the ×7 table from the ×4 and ×3 tables 3 Number Calculate find differences within 100 4 Number Calculate find differences within 1000 6 Number Number facts [Begin to] use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems Y3: Use informal written methods to record subtractions for 2- and 3-digit numbers Y4: Multiply TU × U by partitioning into T and U Y4: Multiply TU × U using informal written methods: grid method Y4: Understand the principles (not the names) of the commutative, associative and distributive laws as they apply to multiplication Y4: Understand multiplication as repeated addition 3 Number Estimate check multiplication using repeated addition 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 4 Number Calculate use mental strategies to multiply [and divide] 2-digit numbers by a single digit number D3.d Numeracy Framework for Wales Y3: Subtract 2- and 3-digit numbers; Y4: Multiply TU×U Last updated: 6th August 2013 Page 15 of 16 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 3–4 Abacus Evolve Week 29 Block E3.a Summary Objectives Y3: Understand division as grouping; Y4: Divide TU ÷ U 30 E3.c E3.d Y3: Multiply by 10 and 100; Y4: Multiply TU × U Y3: Recognise simple equivalent fractions; Y4: Find fractions of quantities Y3: Find totals, pay with coins and give change; Y4: Use decimal notation Last updated: 6th August 2013 Year Strand Element Skill Y3: Understand division as grouping Y3: Find remainders after simple division Y3: Round up or down after division, depending on the context Y4: Divide TU ÷ U using informal written methods Y4: Divide TU ÷ U using standard written methods Y4: Understand division as repeated subtraction 3–6 Reasoning Review interpret answers within the context of the problem and consider whether answers [including calculator, analogue and digital displays ] are sensible 4 Number Calculate use mental strategies to [multiply and] divide 2-digit numbers by a single digit number 3 Number Number facts multiply numbers by 10 4 Number Number facts multiply [and divide] numbers by 10 and 100 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 Y4: Multiply TU × U using standard written methods 4 Number Calculate use mental strategies to multiply [and divide] 2-digit numbers by a single digit number Y3: Begin to recognise simple equivalent fractions Y3: Compare familiar fractions Y4: Find fractions of numbers, quantities and shapes Y4: Find quarters by halving halves Y4: Begin to relate fractions to division 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 4 Number Fractions, etc. halve 3-digit numbers in the context of number, money and measures 4 Number Fractions, etc. find fractional quantities using known table facts, e.g. 1⁄6 of 30cm 3 Y3: Rehearse £.p notation Y3: Find totals, give change and work out which coins to pay 3 Y4: Use decimal notation for hundredths Y4: Recognise the equivalence between the decimal 4 and fraction forms of halves and quarters 5 Number Money use different combinations of money to pay for items up to £2 and calculate the change Number Money order and compare items up to £10 Number Money order and compare items up to £100 Number Fractions, etc. E3.b Numeracy Framework for Wales use understanding of simple fraction and decimal equivalences when measuring and calculating, e.g. ½ = 0.5 [, 1/10 =0.1] Page 16 of 16