National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 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 2 Abacus Evolve Week 1 Block A1.a Summary of maths covered Count on and back in 1s or 10s from a 2-digit number; write figures up to 100 Objectives 2 A1.b Begin to count up to 100 objects by grouping in 5s or 10s; estimate up to 50 objects A1.c Partition 2-digit numbers into T and U 3 Year Strand Element Skill Y2: Count on and back in 1s or 10s from a 2-digit number Y2: Read and write numbers up to 100 in figures Y2: Say the numbers in order up to at least 100, from and back to zero 2 Number Number facts read and write numbers to 100 Y2: Begin to count up to 100 objects by grouping in 5s or 10s Y2: Estimate a number of objects up to 50 2 Number Number facts count sets of objects by grouping in [2s,] 5s or 10s Y2: Know what each digit in a 2-digit number 2 represents, including 0 as a place holder Y2: Partition 2-digit numbers into T and U Number Number facts read and write numbers to 100 2 Number Number facts compare and order 2-digit numbers A1.d Order numbers up to at least 100 and position them on a 100-square B1.a Add by counting on in 1s from the larger number, crossing a multiple of 10 Y2: Add by counting on in 1s from the larger number, crossing a multiple of 10 Y2: Recognise addition as counting on B1.b Add three numbers by putting the largest number first 2 Y2: Add three numbers by putting the largest number first Y2: Recognise that addition can be done in any order 2 Y2: Use the + and = signs to record addition sentences 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 4 Numeracy Framework for Wales Y2: Order numbers up to at least 100 and position them on a 100-square No matching skills B1.c Rehearse addition and subtraction facts for pairs that total up to 9 Y2: Rehearse addition and subtraction facts for pairs of numbers that total up to 9 Y2: Use the +, - and = signs to record addition and subtraction sentences 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 B1.d Relate addition and subtraction facts to missing number sentences Y2: Recognise the use of a symbol to stand for an unknown number Y2: Rehearse addition and subtraction facts for pairs of numbers that total 10 Y2: Relate addition and subtraction facts to missing number sentences 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 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 2 Abacus Evolve Week 5 Block C1.a C1.b Summary of maths covered Objectives Estimate, measure and compare lengths in centimetres; use a ruler Estimate, measure and compare lengths in metres 6 C1.c Use units of time: hours in a day, days in a week C1.d Use units of time: months in a year, seasons in a year 7 D1.a D1.b Use the names of common 2D shapes; sort 2D shapes and describe their features Begin to recognise line symmetry; make symmetrical patterns 8 D1.c Count back in 1s, not crossing a multiple of 10 D1.d Count back in 1s, crossing a multiple of ten, beginning to partition Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y2: Estimate, measure and compare lengths 2 using standard units: centimetres Y2: Use a ruler to draw and measure lines to the nearest centimetre Measuring Length, etc. use standard units to measure: – length, height and distance:[metres, half metres or] centimetres Y2: Estimate, measure and compare lengths 2 using standard units: metres Y2: Recognise the relationship between metres and centimetres Measuring Length, etc. use standard units to measure: – length, height and distance: metres, half metres [or centimetres] Y2: Use units of time and know the relationship between them: hours in a day, days in a week 2 Measuring Time read ‘half past’, ‘quarter past’ and ‘quarter to’ on an analogue clock Y2: Use units of time and know the relationship between them: months in a year, seasons in a year Y2: Order the months of the year 1 Measuring Time use the concept of time in terms of their daily and weekly activities and the seasons of the year 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 No matching skills Y2: Begin to recognise line symmetry Y2: Make symmetrical patterns by folding and cutting Y2: Begin to sketch the reflection of a simple shape in a mirror line No matching skills Y2: Count back in 1s, not crossing a multiple of 10 Y2: Extend understanding of subtraction as taking away No matching skills Y2: Count back in 1s, crossing a multiple of 10, beginning to partition No matching skills Page 3 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 Abacus Evolve Week 9 Block E1.a E1.b 10 E1.c E1.d Summary of maths covered Objectives Know doubles for numbers up to at least 15 and corresponding halves Begin to derive doubles of multiples of 5 up to 100 and corresponding halves Pay an exact sum using smaller coins up to £2 A2.a Count on and back in 1s, 10s or 100s 12 Strand Element Skill 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 Y2: Begin to derive doubles of multiples of 5 2 up to 100 and the corresponding halves Y2: Begin to halve multiples of 10 up to 100 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 3 Number Calculate [Begin to] use partitioning to double and halve 2-digit numbers 2 Number Money use different combinations of money to pay for items up Y2: Pay an exact sum using smaller coins up to £2 Y2: Solve ‘real-life’ problems involving money (paying an exact sum) to £1 2 Number Money find totals [and give change from multiples of 10p] 2 Number Money use different combinations of money to pay for items up to £1 3 Number Money Begin to recognise odd and even numbers up to at least 50 Y2: Count on in 2s (revise) Y2: Begin to recognise odd and even numbers up to at least 50 A2.c Understand and use ordinal numbers up to at least 100th Y2: Understand and use ordinal numbers up to at least 100th A2.d Compare 2-digit numbers; say a number lying between two numbers 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 use different combinations of money to pay for items up to £2 [and calculate change] 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 A2.b Last updated: 6th August 2013 Year 2 Y2: Recognise halving as the inverse of doubling Y2: Know by heart doubles for numbers up to at least 15 and the corresponding halves Find totals of sets of coins: Y2: Recognise all coins and begin to use relate to adding three or more pounds and pence (£.p) notation for money numbers Y2: Find totals of sets of coins: relate to adding three or more numbers 11 Numeracy Framework for Wales 2 Number Number facts recall and use 2 [, 5 and 10] multiplication tables No matching skills 2 Number Number facts compare and order 2-digit numbers Page 4 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 Abacus Evolve Week 13 14 Block Summary of maths covered Objectives Strand Element Skill Rehearse addition and subtraction facts for pairs that total up to 10 B2.b Begin to add three 1-digit numbers mentally Y2: Begin to add three 1-digit numbers mentally B2.c Know that a right angle is a measure of a quarter turn; recognise right angles Y2: Recognise whole, half and quarter turns 2 Y2: Know that a right angle is a measure of a quarter turn 2 Y2: Recognise right angles in simple shapes Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise Measuring Area, etc. recognise that a quarter turn is a right angle Y2: Give instructions for moving along a route in straight lines and round corners Y2: Recognise clockwise and anticlockwise turns 2 Measuring Area, etc. recognise half and quarter turns, clockwise and anticlockwise Y2: Estimate, measure and compare weights using standard units: kilograms, grams Y2: Begin to recognise the relationship between grams and kilograms Y2: Begin to read simple weighing scales to the nearest labelled division 2 Measuring Length, etc. use standard units to measure: – weight/mass: kilograms or 10 gram weights Read the time to the hour and half hour on analogue and digital clocks Y2: Read the time to the hour and half hour on analogue and 12-hour digital clocks 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 Y2: Sort, organise and interpret information in a block graph 2 Data Data gather and record data from: – block graphs 2 Data Data extract and interpret information from lists, tables, 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 B2.d Recognise clockwise and anticlockwise turns C2.a Estimate, measure and compare weights in kilograms and grams C2.b 16 Year B2.a 15 Numeracy Framework for Wales C2.c C2.d Sort, organise and interpret information in a block graph Sort, organise and interpret information in a pictogram Last updated: 6th August 2013 Y2: Rehearse addition and subtraction facts for pairs of numbers that total up to 10 Y2: Sort, organise and interpret information in a pictogram 1 Number Number facts use number facts within 10, i.e.: – bonds of 10, e.g. 6 + 4 No matching skills Page 5 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 Abacus Evolve Week 17 Block D2.a Summary of maths covered Use the names of common 3D shapes Objectives 18 19 20 Numeracy Framework for Wales D2.b Sort 3D shapes and describe their features D2.c Subtract a multiple of 10 from a 2-digit number by counting back in 10s D2.d Add and subtract 9, 11, 19 and 21 by adding and subtracting 10 and 20 Year Strand Element Skill Y2: Use the names of common 3D shapes, including: cube, cuboid, cylinder, sphere, cone Y2: Relate solid shapes to pictures of them No matching skills Y2: Sort 3D shapes and describe their features: number of faces and corners No matching skills Y2: Subtract a multiple of 10 from a 2-digit number by counting back in 10s 3 Number Calculate use mental strategies to add and subtract 2-digit numbers 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 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 2 Number Number facts recall and use 2, 5 and 10 multiplication tables E2.a Count on in 2s, 5s or 10s; recognise odd and even numbers Y2: Count on in 2s, 5s or 10s up to 100 Y2: Begin to recognise odd and even numbers up to at least 100 E2.b Understand multiplication as ‘lots of’ and use the × sign Y2: Introduce multiplication as ‘lots of’ Y2: Introduce the × sign No matching skills E2.c Introduce multiplication as repeated addition; record facts using × and = Y2: Introduce multiplication as repeated addition or as describing an array Y2: Record multiplication facts using × and = in number sentences No matching skills Begin to understand division as grouping Y2: Begin to understand division as grouping Y2: Introduce division as the inverse of multiplication Y2: Understand that division sometimes leaves a remainder Y2: Introduce the ÷ sign No matching skills E2.d Last updated: 6th August 2013 Page 6 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 Abacus Evolve Week 21 Block A3.a Summary of maths covered Begin to partition 3-digit numbers into H, T and U Objectives 22 2 Y2: Read and write numbers up to 100 in words 3 Y2: Begin to partition 3-digit numbers into H, T and U Y2: Begin to read and write numbers up to 1000 in figures Strand Element Skill Number Number facts read and write numbers to 100 Number Number facts [Begin to] read and write numbers to 1000 Begin to round numbers less than 100 to the nearest 10 Y2: Begin to round numbers less than 100 to the nearest 10 A3.c Begin to add by bridging a multiple of 10 2 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) 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 2 Number Calculate find small differences within 20 by using ‘counting on’ strategies A3.d Find the difference between two numbers by counting on B3.a Classify and describe common 2D and 3D shapes B3.b Begin to recognise halves and quarters of shapes and numbers of objects 24 Year A3.b 23 Numeracy Framework for Wales B3.c Know pairs of multiples of 10 that total 100; pairs that total up to 10 B3.d Use pairs that total 10 to make the next multiple of 10 Last updated: 6th August 2013 Y2: Extend understanding of relationship of subtraction to difference Y2: Find the difference between two numbers by counting on No matching skills No matching skills Y2: Classify and describe common 2D and 3D shapes Y2: Make models, shapes and patterns and describe their features 2 Number Fractions, etc. Y2: Know by heart addition and subtraction 2 facts for pairs of numbers that total up to 10 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 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 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 Y2: Recognise fraction notation Y2: Begin to recognise halves and quarters of shapes Y2: Begin to recognise halves and quarters of small numbers of objects 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 [Begin to] find halves and quarters in practical situations Page 7 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 Abacus Evolve Week 25 Block Summary of maths covered Objectives C3.a Estimate a capacity, recording estimates; read a simple capacity scale C3.b Estimate, measure and compare capacities in litres and millilitres 26 27 Year Strand Element Skill Y2: Estimate a capacity, recording estimates 1 Y2: Measure capacities using uniform nonstandard units (revise) Y2: Begin to read a simple capacity scale to the nearest labelled and unlabelled division Measuring Length, etc. use non-standard units to measure: – capacity Y2: Estimate, measure and compare capacities using standard units: litres, millilitres Y2: Read a simple capacity scale 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 to measure: – capacity: use litres and half litres [; measure to the nearest 100ml] C3.c Add and begin to subtract a 1-digit number to and from a multiple of 100 Y2: Add and begin to subtract a 1-digit number to and from multiples of 10 and 100 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 C3.d Organise and interpret information in a table Y2: Organise information in a table Y2: Interpret information from a table 2 Data Data gather and record data from: – lists and tables 2 Data Data extract and interpret information from lists, tables [diagrams and graphs] 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 strategy Y2: Partition additions into T and U, then recombine 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: Subtract one 2-digit number from another using an appropriate strategy Y2: Understand that subtraction is the inverse of addition, using missing number sentences 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 D3.a Add a 1-digit number to a 2digit number; add two 2-digit numbers D3.b Subtract one 2-digit number from another 28 Numeracy Framework for Wales D3.c Use units of time: hours, minutes, seconds Y2: Use units of time and know the relationship between them: hours, minutes, seconds D3.d Read the time to the quarter hour on analogue and digital clocks Y2: Read the time to the quarter hour on analogue and 12-hour digital clocks Last updated: 6th August 2013 No matching skills 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 Page 8 of 9 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 2 Abacus Evolve Week 29 30 Block E3.a Summary of maths covered Understand multiplication as repeated addition; and division as its inverse Objectives E3.b Recognise 2-digit multiples of 2, 5 and 10; and know their multiplication facts E3.c Double multiples of 5; halve multiples of 10; add using near doubles E3.d Recognise the relationship between halves and quarters Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill No matching skills Y2: Begin to understand multiplication as repeated addition or as describing an array Y2: Begin to understand division as the inverse of multiplication Y2: Know by heart the multiplication facts for 2 2, 5 and 10 times tables Y2: Begin to recognise 2-digit multiples of 2, 5 and 10 Number Number facts recall and use 2, 5 and 10 multiplication tables 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 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 2 Number Fractions, etc. 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 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 find halves and quarters in practical situations Page 9 of 9