National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus 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 week. For example, in Abacus Year 1 Week 8, learners estimate, compare and measure lengths and heights using non-standard and standard units. The skill that most closely matches this is: Using measuring skills > Length, weight/mass, capacity > use non-standard units to measure: length, height and distance. But since the distance part isn’t covered in this week, the skill is presented as follows: use non-standard units to measure: length, height [and distance] Numerical reasoning skills In Abacus, numerical reasoning is embedded throughout. (For example: problem solving and reasoning activities; ‘Think’ questions on workbook and textbook pages; group activities; interactive problem solving and speaking and listening activities.) We don’t list numerical reasoning objectives in the lesson 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 weeks with no matching skills There may be some weeks of Abacus 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 (e.g. Shape), but you will still need to cover the curriculum in full. Version 3 Last updated: 25th November 2014 Page 1 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Term: Autumn 1 Abacus Week 1 2 3 4 5 Version 3 Strands Number and place value (NPV) Mental addition and subtraction (MAS) Mental addition and subtraction (MAS) Mental multiplication and division (MMD) Geometry: properties of shapes (GPS) Statistics (STA) Number and place value (NPV) Mental addition and subtraction (MAS) Numeracy Framework for Wales Weekly Summary Year Strand Element Skill 2 Number Number facts count sets of objects by grouping in [2s, 5s or] 10s 2 Number Number facts read and write numbers to 100 2 Number Number facts compare and order 2-digit numbers 3 Number Number facts compare and estimate with numbers up to 100 Revise number bonds to 6, 7, 8, 9 and 10; know 1 number bonds to 10 and begin to learn related subtraction facts; know multiple of 10 number bonds to 100; learn bonds to 20; rehearse number bonds to 2 10 and 20 using stories Number Number facts use number facts within 10, i.e.: − bonds of 10, e.g. 6 + 4 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 Double numbers to double 15; use patterns in 2 number bonds; use number bonds to solve more difficult additions, subtractions and to solve additions bridging 10 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 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 Sort 2D shapes according to symmetry properties 2 using Venn diagrams; identify right angles and sort shapes using Venn diagrams; recognise squares, 2 rectangles, circles, triangles, ovals and hexagons, investigate which tessellate; sort shapes and objects using a two-way Carroll diagram 3–4 Data Data gather and record data from: − diagrams Data Data extract and interpret information from [lists, tables,] diagrams [and graphs] Data Data represent data using: − Venn and Carroll diagrams Mark numbers on a landmarked line; compare and order numbers, using < and > signs; work systematically to find all possible inequalities; find 1 and 10 more or less using the 100-square; find 10 more and 10 less than any 2-digit number 2 Number Number facts read and write numbers to 100 2 Number Number facts compare and order 2-digit numbers 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 Estimate and count a number of objects up to 100; locate numbers on 0–100 beaded lines and 1–100 squares; compare pairs of numbers and find a number in between; order three numbers; order 2digit numbers Last updated: 25th November 2014 Page 2 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Term: Autumn 2 Abacus Week 6 7 8 9 10 Version 3 Strands Number and place value (NPV) Mental addition and subtraction (MAS) Measurement (MEA) Number and place value (NPV) Mental addition and subtraction (MAS) Geometry: position and direction (GPD) Measurement (MEA) Numeracy Framework for Wales Weekly Summary Year Know and use ordinal numbers; understand that 2digit numbers are made from some 10s and some 1s; understand place-value using 10p and 1p coins; find and record all possible amounts using 10p and 1p coins; find 10p more and 10p less; find 10 more and 10 less Add and subtract 10, 20 and 30 to any 2-digit number; add and subtract 11, 21, 12 and 22 to any 2-digit number; solve addition and subtractions by counting on and back in 10s then in 1s; solve addition and subtraction problems using concrete and pictorial representations Understand and use terms and vocabulary associated with position, direction and movement; measure lengths using uniform units; begin to measure in centimetres and metres Strand Element Skill 2 Number Number facts count sets of objects by grouping in [2s, 5s or] 10s 2 Number Number facts compare and order 2-digit numbers 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 Money use different combinations of money to pay for items up to £1 2 Number Calculate find small differences within 20 by using ‘counting on’ strategies 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 find differences within 100 3 Number Calculate use mental strategies to add and subtract 2-digit numbers 2 Measuring Length, etc. use standard units to measure: − length, height and distance: metres, [half metres] or centimetres 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 Mental addition and subtraction (MAS Mental multiplication and division (MMD) Add and subtract 2-digit numbers; solve addition 2 and subtraction problems using concrete and pictorial representations; add near doubles to double 15; add several small numbers spotting near 3 doubles or pairs to 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 Calculate use mental strategies to add and subtract 2-digit numbers Mental multiplication and division (MMD) Measurement (MEA) Count in 2s, 5s and 10s from zero; count in multiples 2 of 2p, 5p and 10p; number sequences of 2s, 5s and 2 10s; find the totals of coins and ways to make an amount; use coins to make given amounts of money Number Number facts count sets of objects by grouping in 2s, 5s or 10s Number Money use different combinations of money to pay for items up to £1 Last updated: 25th November 2014 Page 3 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Term: Spring 1 Abacus Week 11 12 13 14 15 Version 3 Strands Numeracy Framework for Wales Weekly Summary Year Strand Element Skill Number and place value (NPV) Mental addition and subtraction (MAS) Place value and ordering 2-digit numbers; place value additions and subtractions; add and begin to subtract 9, 10, and 11 2 Number Number facts compare and order 2-digit numbers 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 Mental addition and subtraction (MAS) Revise number bonds to 10; begin to bridge 10; subtract from 10 and 20; use number facts to find the complement to ten; find a difference between two numbers by counting on 1 Number Number facts use number facts within 10, i.e.: − bonds of 10, e.g. 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 2 Number Calculate find small differences within 20 by using ‘counting on’ strategies 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 2 Number Calculate find small differences within 20 by using ‘counting on’ strategies 2 Number Money find totals and give change from multiples of 10p 3 Number Calculate use mental strategies to add and subtract 2-digit numbers 1 Data Data sort and classify objects using more than one criterion 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 Number Number facts compare and order 2-digit numbers Number Number facts compare and estimate with numbers up to 100 Mental addition and subtraction (MAS) Rehearse complements to multiples of 10; find differences using a number line; find change from 10p and 20p, and from £10 to £20 by counting up and using bonds to 10 and 20; add two 2-digit numbers by counting on Geometry: properties of shapes (GPS) Measurement (MEA) Geometry: position and direction (GPD) Recognise and identify properties (including faces and vertices) of 3D shapes; sort according to properties including number of faces; name the 2D shapes of faces of 3D shapes; tell the time to the nearest quarter on analogue and digital clocks Number and place value (NPV) Order 2-digit numbers and revise the < and > signs; 2 locate 2-digit numbers on a landmarked line and grid; round 2-digit numbers to nearest 10; estimate a 3 quantity <100 within a range Last updated: 25th November 2014 Page 4 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Term: Spring 2 Abacus Week 16 17 18 19 Version 3 Strands Fractions, ratio and proportion (FRP) Mental multiplication and division (MMD) Numeracy Framework for Wales Weekly Summary Year Element Skill Revise doubles and corresponding halves to 15; find 2 half of odd and even numbers to 30; 2 Revise and recognise 1/2s, 1/4s, 1/3s and 2/3s of 1 1 shapes; place /2s on a number line; count in /2s and 1/4s; understand and write mixed numbers 3 Number Fractions, etc. Number Estimate use checking strategies: − use halving and doubling within 20 Number Estimate check halving using doubling 3 Number Number facts recall 2, 3, 4, 5 and 10 multiplication tables and use to solve multiplication and division problems 3 Number Fractions, etc. 2 Number Number facts count sets of objects by grouping in 2s, 5s or 10s 2 Number Number facts recall and use 2, 5 and 10 multiplication tables Measuring Time read ‘half past’, ‘quarter past’ and ‘quarter to’ on an analogue clock Measuring Time read hours and minutes on a 12-hour digital clock Data Data gather and record data from: − block graphs − pictograms where the symbol represents one unit 2 Data Data extract and interpret information from [lists, tables, diagrams and] graphs 3 Data Data represent data using [lists], tally charts, [tables and diagrams] 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 Mental multiplication and division (MMD) Count in 2s, 5s and 10s to solve multiplication problems and find specified multiples; introduce the × sign; record the 2, 5 and 10 times-tables; investigate multiplications with the same answer; write multiplications to go with arrays, rotate arrays to show they are commutative Measurement (MEA) Statistics (STA) Tell the time to the nearest quarter of an hour using 2 analogue and digital clocks; understand the relationship between seconds, minutes and hours 2 and use a tally chart; interpret and complete a pictogram or block graph where one block or symbol 2 represents one or two things Mental multiplication and division (MMD) Strand Revise 2, 5 and 10 times-tables; revise arrays and 2 hops on the number line; multiply by 2, 3, 4, 5 and 3 10; arrange objects into arrays and write the corresponding multiplications; make links between grouping and multiplication to begin to show division; write divisions as multiplications with holes in and use the ÷ sign Last updated: 25th November 2014 find halves and quarters in practical situations halve 2-digit numbers in the context of number, [money and measures] Page 5 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Abacus Week 20 Version 3 Strands Measurement (MEA) Mental addition and subtraction (MAS) Numeracy Framework for Wales Weekly Summary Year Recognise all coins, know their value, and use them 2 to make amounts; recognise £5, £10, £20 notes; make amounts using coins and £10 note; write 3 amounts using £.p notation; order coins 1p-£2 and notes £5 - £20; add several coins writing totals in £.p notation (no zeros in 10p place); add two amounts of pence, using counting on in 10s and 1s; add two amounts of money, beginning to cross into £s Strand Element Skill Number Money use different combinations of money to pay for items up to £1 Number Money order and compare items up to £10 Last updated: 25th November 2014 Page 6 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Term: Summer 1 Abacus Week 21 22 23 24 25 Version 3 Strands Number and place value (NPV) Mental addition and subtraction (MAS) Mental addition and subtraction (MAS) Mental multiplication and division (MMD) Mental addition and subtraction (MAS) Written addition and subtraction (WAS) Measurement (MEA) Statistics (STA) Mental multiplication and division (MMD) Fractions, ratio and proportion Numeracy Framework for Wales Weekly Summary Year Strand Element Skill 2 Number Number facts compare and order 2-digit numbers 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 Number facts read and write numbers to 1000 3 Number Calculate use mental strategies to add and subtract 2-digit numbers Use doubles and number bonds to add three 1-digit 2 numbers; use number facts to 10 and 20 in number stories; find complements to multiples of 10; understand subtraction as difference and find this by counting up; give change by counting up and find small differences either side of a multiple of 2 10 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 find small differences within 20 by using ‘counting on’ strategies 2 Number Money find totals and give change from multiples of 10p Add and subtract 1-digit numbers to and from 2-digit 2 numbers; subtract 2-digit numbers by counting back in tens and ones; add two 2-digit numbers by counting in 10s, then adding 1s; add 2-digit numbers 3 using 10p and 1p coins (using partitioning) with totals less than 100; add 2-digit numbers using place-value cards (using partitioning) with totals 3 more than 100) 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 use partitioning to double and halve 2-digit numbers Measure weight using standard or uniform non2 standard units; draw a block graph where one square represents two units; weigh items using 100g weights using scales marked in multiples of 1kg or 100g; measure capacity using uniform non-standard 2 units; measure capacity in litres and in multiples of 100ml 3 Measuring Length, etc. use standard units to measure: − weight/mass: kilograms or 10 gram weights − capacity: litres Data Data gather and record data from: − block graphs Measuring Length, etc. use standard units of measure: − weight/mass: use [5g, 10g and] 100g weights − capacity: use litres [and half litres]; measure to the nearest 100ml Double multiples of 10 and 5 (answers less than 100); double 2-digit numbers ending in 1, 2, 3 or 4 (answers less than 100); find a quarter of numbers 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 Locate, order and compare 2-digit numbers on number lines and squares and use < and > signs; locate numbers on an empty 0-100 line; introduce numbers 101 to 200 and count in 100s to 1000; add 2-digit numbers by counting on in 10s and 1s; subtract 2-digit numbers by counting back in 10s and 1s 2 Last updated: 25th November 2014 Page 7 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Abacus Week Strands (FRP) Numeracy Framework for Wales Weekly Summary Year up to 40 by halving twice; begin to find 3/4 of numbers; find 1/2 1/4 and 1/3 of amounts (sharing); find patterns; spot patterns and make predictions when finding a third of numbers Strand Element Skill knowing 4 + 4 3 Number Fractions, etc. find fractional quantities linked to known multiplication facts, e.g. 1/3 of 18, [1/5 of 15] Term: Summer 2 Version 3 Last updated: 25th November 2014 Page 8 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Abacus Week 26 27 28 29 Version 3 Strands Number and place value (NPV) Measurement (MEA) Mental addition and subtraction (MAS) Numeracy Framework for Wales Weekly Summary Year Count back in 10s and 1s to solve subtraction (not crossing 10s) and check subtraction using addition, beginning to understand that addition undoes subtraction and vice versa; add three or more small numbers using number facts; record amounts of money using £∙p notation including amounts with no 10s or 1s; find more than one way to solve a money problem Strand Element Skill 2 Number Number facts compare and order 2-digit numbers 3 Number Number facts compare and estimate with numbers up to 100 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] Mental multiplication and division (MMD) Count in 3s, recognising numbers in the 3 timestable; write multiplications to go with arrays and use arrays to solve multiplication problems; understand that multiplication is commutative and that division and multiplication are inverse operations; solve divisions as multiplications with a missing number; count in 2s, 3s, 5s and 10s to solve divisions and solve division problems in contexts 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 Measurement (MEA) Measure and estimate lengths in centimetres; tell the time involving multiples of 5 minutes past the hour and 5 minutes to the hour; tell time to 5 minutes; begin to say the time 10 minutes later 2 Measuring Length, etc. use standard units to measure: − length, height and distance: [metres, half metres] or centimetres 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 Measuring Time tell the time to the nearest 5 minutes on an analogue clock [and calculate how long it is to the next hour] Partition to add two 2-digit numbers; find the 2 difference between two 2-digit numbers; multiply two 2 numbers using counting in steps of 2, 3, 5 and 10; solve division problems by counting in steps of 2, 3, 5 and 10 3 Number Number facts recall and use 2, 5 and 10 multiplication tables 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 Number facts recall 2, 3, [4,] 5 and 10 multiplication tables and use to solve multiplication and division problems 3 Number Calculate use mental strategies to add and subtract 2-digit numbers 3 Number Calculate use partitioning to double and halve 2-digit numbers Mental multiplication and division (MMD) Written addition and subtraction (WAS) Mental addition and subtraction (MAS) Last updated: 25th November 2014 Page 9 of 10 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus week? Abacus Year 2 Abacus Week 30 Version 3 Strands Number and place value (NPV) Mental addition and subtraction (MAS) Numeracy Framework for Wales Weekly Summary Year Compare two 2-digit numbers using thermometer as a context; Practice bonds to 100 using thermometers; Revise place value in 2-digit numbers and in numbers between 100 and 200; Place value of 3-digit numbers (no zeros; Place value of 3-digit numbers (including zeros in the 10s and 1s places) Strand Element Skill 2 Measuring Temperature compare daily temperatures using a thermometer (°C) 2 Number Number facts compare and order 2-digit numbers 3 Number Number facts use mental strategies to recall number facts within 20 3 Number Number facts compare and estimate with numbers up to 100 3 Number Calculate find differences within 100 3 Number Calculate use mental strategies to add and subtract 2-digit numbers Last updated: 25th November 2014 Page 10 of 10