National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 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 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 1 Block A1.a A1.b 2 A1.c Summary of maths covered Objectives Read and write whole numbers to 10 000; know what each digit represents Recognise relationship between Th, H, T and U; partition numbers into Th, H, T, U Know multiplication as repeated addition and arrays A1.d Understand division as inverse of multiplication, divide whole numbers, find remainders 3 B1.a Addition and subtraction: number pairs to 100/1000 B1.b Addition and subtraction: adding to next 100/1000 Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y4: Read and write numbers up to 100 000 4 in figures and words 5 Y4: Know what each digit in a 5-digit number represents Number Number facts read and write numbers to 10 000 Number Number facts read and write numbers to 100 000 Y4: Recognise the relationship between Th, H, T and U Y4: Partition 4-digit numbers into Th, H, T and U 4 Number Number facts read and write numbers to 10 000 Y4: Rehearse the concept of multiplication as describing an array Y4: Rehearse multiplication as repeated addition Y4: Understand and use the commutativity of multiplication 3 Number Estimate check multiplication using repeated addition Y4: Rehearse the concept of division as grouping 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 to give £.p Y4: Continue to round up or down after division, depending on the context 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 Y4: Derive quickly pairs of multiples of 5 that 3 total 100 Y4: Derive quickly pairs of multiples of 50 that total 1000 Y4: Derive quickly pairs of numbers that total 100 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 [and written] method Y4: Derive quickly pairs of numbers that total 100 Y4: Find what to add to a 2- or 3-digit number to 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 Page 2 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 4 Block B1.c Summary of maths covered Objectives Know names of, describe and visualise common shapes B1.d Classify polygons, recognise types of triangles 5 C1.a Use standard metric units of length: mm, cm, m, km C1.b Understand and measure area as covering 2 dimensions Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y4: Describe and visualise 2D shapes Y4: Begin to understand the term ‘polygon’ Y4: Rehearse the names of common 2D shapes Y4: Construct polygons using pinboards No matching skills 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 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 3–6 Reasoning Identify 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 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 select and use suitable instruments and units of measurement Page 3 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 6 Block C1.c Summary of maths covered Use and interpret tally charts and frequency tables Objectives C1.d 7 D1.a Construct and interpret pictograms where symbol represents several units Add several small numbers, finding pairs totalling 9/10/11 D1.b Add several multiples of 10 or 100 Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 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 5–6 Data Data [extract and] interpret information from an increasing range of diagrams [,timetables,. and graphs (including pie charts)] 3–4 Data Data represent data using: – pictograms where one symbol represents more than one unit using a key 5–6 Data Data [extract and] interpret information from an increasing range of [diagrams, timetables, and] graphs [(including pie charts)] 3 Y4: Add several 1-digit numbers Y4: Check the sum of several numbers by adding in reverse order 4 Y4: Add by finding pairs that total 9, 10 or 11 Y4: Consolidate understanding of the relationship between addition and subtraction Y4: Add several multiples of 10 or 100 Y4: Understand the principles (not the names) of the commutative and associative laws as they apply or not to addition and subtraction Number Calculate use mental strategies to add [and subtract] 2-digit numbers Number Estimate check answers using inverse operations Y4: Add and subtract 2- and 3-digit multiples 3 of 10 Y4: Add and subtract two multiples of 100, 5 crossing 1000 Number Calculate use mental strategies to add and subtract 2-digit numbers Number Calculate [Begin to] add and subtract 3-digit numbers using an appropriate mental or written method Y4: Rehearse the use of tally charts to record observations Y4: Represent data in frequency tables Y4: Interpret tally charts and frequency tables Y4: Construct and interpret pictograms where the symbol represents 2, 5, 10 or 20 units Page 4 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 8 Block D1.c Summary of maths covered Tell time on analogue and 24hr clock to nearest minute, use am/pm Objectives D1.d 9 E1.a Rehearse use of seconds as measure of time; estimate/measure time using minutes/seconds Count on/back in 2s, 3s, 4s, 5s, 10s, 25s, 50s E1.b 10 E1.c Recall multiplication facts for ×2, ×3, ×4, ×5, ×10 tables, derive division facts Recognise fractions and mixed numbers E1.d Recognise equivalence of simple fractions Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y4: Read the time to the nearest minute on analogue clocks Y4: Rehearse time to the nearest minute on 12-hour digital clocks Y4: Use am and pm and the notation 9:53 3 Measuring Time read hours and minutes on a 12-hour digital clock using am/pm conventions 4 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 Y4: Rehearse the use of seconds as a measure of time Y4: Estimate and measure time using seconds, minutes, hours 4 Measuring Time time and order events in seconds 4 Y4: Count on and back in 2s, 3s, 4s, 5s or 10s 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 Y4: Count on and back in 25s or 50s to and from 1000 Number Number facts use mental strategies to recall multiplication tables for 2, 3, 4, 5 [, 6] and 10 and use to solve division problems Y4: Know by heart the multiplication facts for 4 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 use mental strategies to recall multiplication tables for 2, 3, 4, 5 [, 6] and 10 and use to solve division problems 4 Number Fractions, etc. 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 Y4: Recognise the equivalence of simple fractions recognise fractions that are several parts of a whole, e.g. 2/3, 3/10 No matching skills Page 5 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 11 Block A2.a A2.b Summary of maths covered Objectives Count on/back in 10s, 100s, 1000s, add/subtract 1, 10, 100, 1000 Compare/order numbers to 10 000, use symbols for less than (<) and greater than (>), give ‘between’ numbers 12 A2.c Recognise properties of adding/subtracting odd/even numbers A2.d Recognise negative numbers in context Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill No matching skills 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 Y4: Compare and order numbers up to 10 000 Y4: Say one or more numbers lying between two given numbers Y4: Use < and > symbols Number Number facts compare [and estimate with] numbers up to 1000 Y4: Recognise odd and even numbers up to 4 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: Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it (number) Y4: Use knowledge of sums or differences of odd/even numbers to check calculations Number Number facts use mental strategies to recall multiplication tables for 2 [, 3, 4, 5, 6 and 10] and use to solve division problems Measuring Temperature [take temperature readings using thermometers and] interpret readings above and below 0°C 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 3–4 Page 6 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 13 Block B2.a Summary of maths covered Derive and identify doubles/halves up to 50; double by partitioning Objectives B2.b Derive doubles/halves of multiples of 10–500/100–5 000; multiply mentally 14 B2.c Classify and sketch 2D shapes according to concept of symmetry B2.d Rehearse names/nets of 3D shapes, define polyhedron and tetrahedron Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 3 Number Calculate use partitioning to double and halve 2-digit numbers Y4: Derive doubles of multiples of 10 to 500, 4 and the corresponding halves Y4: Derive doubles of multiples of 100 to 5 000, 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 multiply and divide 2-digit numbers by a single digit number 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 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 Y4: Rehearse the names of common 3D shapes Y4: Describe and visualise 3D shapes 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 7 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 15 Block C2.a Summary of maths covered Objectives Use scales; know relationship between standard units of capacity 16 Year 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 3–4 Data Data [extract and] interpret information from [charts,] timetables [, diagrams and graphs] Measuring Length, etc. recognise that perimeter is the distance around a shape Measuring Length, etc. measure and calculate the perimeter of squares and rectangles Data Data represent data using: – bar charts [and bar line graphs] labelled in 2s, 5s and 10s 3 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 3 Y4: Use known number facts and place value to subtract one 2-digit number from another, by counting on and back 3–6 Y4: Choose and use appropriate operations and appropriate ways of calculating (mental, 3–6 mental with jottings, pencil and paper) to solve problems Number Calculate use mental strategies to [add and] subtract 2-digit numbers Reasoning Identify select appropriate mathematics and techniques to use Reasoning Represent refine informal methods of recording written calculations, moving to formal methods of calculation when developmentally ready C2.c Measure perimeter; know difference between area/perimeter Y4: Begin to understand the term ‘perimeter’ 3 Y4: Measure the perimeter of rectangles and 4 other simple shapes Y4: Understand the difference between area and perimeter D2.a Add numbers by partitioning, estimate and check by approximating D2.b Subtract 2- and 3-digit numbers, use appropriate ways of calculating to solve problems Last updated: 6th August 2013 Identify Y4: Read simple timetables Skill Reasoning Construct and interpret bar graphs Element 3–6 Read simple timetables C2.d Strand Y4: Use, read and write standard metric units of capacity: l, ml Y4: Begin to use imperial units of capacity: pints Y4: Rehearse the relationship between litres and millilitres 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: Record estimates and readings from capacity scales C2.b 17 Numeracy Framework for Wales 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 3–4 select and use suitable instruments and units of measurement find fractional quantities using known table facts, e.g. 1/6 of 30cm Page 8 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 18 19 Block Summary of maths covered Objectives Year Strand Element Skill D2.c Add/subtract near multiples of 10 from 2- or 3- digit numbers Y4: Add near multiples of 10 to 2- and 3-digit 4 numbers Y4: Subtract near multiples of 10 from 2and 3-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 D2.d Add HTU using formal/informal written methods, estimate and check by approximating 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 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 5 Number Calculate add [and subtract] 3-digit numbers using an appropriate mental or written method 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 use mental strategies to recall multiplication tables for 2, [3] 4, [5] 6 [and 10] and use to solve division problems Y4: Begin to know the multiplication facts for 5 the 8 times table, and the corresponding division facts Y4: Use doubling to find new facts from known facts 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 E2.a Use doubling, ×6 multiplication/division and related facts E2.b Begin to know ×8 multiplication/division facts 20 Numeracy Framework for Wales E2.c Compare and order fractions; locate fractions on number line Y4: Compare and order fractions Y4: Locate fractions on a number line E2.d Recognise equivalence of decimal and fraction forms of 1/ s and 1/ s 2 10 5 Y4: Use decimal notation for tenths Y4: Recognise the equivalence between the decimal and fraction forms of halves and tenths Last updated: 6th August 2013 No matching skills 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 9 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 21 Block A3.a Summary of maths covered Round 3-digit numbers to 10 or 100; round money to nearest pound (£); make estimates Objectives A3.b Multiply/divide integers by 10 or 100, multiply by 5 or 20 by halving/doubling 22 A3.c A3.d 23 Subtract HTU – TU, HTU – HTU, check results with inverse calculation Subtract HTU – TU, HTU – HTU by standard method Numeracy Framework for Wales Year Strand Element Skill 4 Number Estimate estimate by rounding to the nearest 10 or 100 Y4: Multiply or divide any integer up to 1000 4 by 10 and understand the effect 4 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 Number Number facts multiply and divide numbers by 10 and 100 Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number Y4: Subtract HTU – TU, HTU – HTU using informal written method of complementary 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 5 Number Calculate [add and] 3-digit numbers using an appropriate [mental or] written method 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 5 Number Calculate [add and] subtract 3-digit numbers using an appropriate [mental or] written method 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 £ Y4: Subtract HTU – TU, HTU – HTU using standard written method of decomposition B3.a Find differences by counting on; understand relation between +/- Y4: Find a small difference by counting on, e.g. 5003 – 4996 4 Number Calculate find differences within 1000 B3.b Know ×9 multiplication/division facts; recognise patterns and relationships Y4: Begin to know the multiplication facts for 6 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) Number Number facts [Begin to] use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems Last updated: 6th August 2013 Page 10 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 24 Block Summary of maths covered Objectives B3.c Use 8-point compass, measure clockwise/anticlockwise turns B3.d Know angles are measured in degrees; know relationship between degrees and right angles 25 C3.a Locate position on a grid using coordinates; recognise horizontal and vertical lines C3.b Understand and use standard units of weight; read scales 26 C3.c Know relationship between different units of time; read calendars C3.d Organise and interpret data in Venn/Carroll diagrams Last updated: 6th August 2013 Numeracy Framework for Wales Y4: Use the eight-point compass directions Y4: Make and measure clockwise and anticlockwise turns Year 4 Strand Measuring Element Area, etc. Skill use eight compass points to describe direction No matching skills 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 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 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 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 Y4: Use a calendar 4 Measuring Time use calendars to plan events Data Data represent data using: – Venn and Carroll diagrams Data Data extract and interpret information from charts, [timetables] diagrams and graphs Y4: Organise and interpret data represented 3–4 in a Venn diagram (two criteria) Y4: Organise and interpret data represented 3–4 in a Carroll diagram (two criteria) find fractional quantities using known table facts, e.g. 1/6 of 30cm Page 11 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 27 28 Block D3.a Summary of maths covered Add money amounts; estimate and check by approximating Objectives Y4: Add amounts of money, e.g. £3.26 + £5.85, using standard written methods 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 Year Strand Element Skill 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 Money add [and subtract totals] less than £10 using correct notation, e.g. £6.85 – £2.76 D3.b Subtract money amounts by standard written method of decomposition Y4: Subtract amounts of money, e.g. £8.40 - 4 £3.76, using standard written method of decomposition Number Money [add and] subtract totals less than £10 using correct notation, e.g. £6.85 – £2.76 D3.c Know ×7 multiplication/division facts, develop ×7 from ×3/×4 facts Y4: Begin to know the multiplication facts for 6 the 7 times table, and the corresponding division facts Y4: Use closely related facts: develop the ×7 table from the ×4 and ×3 tables Number Number facts [Begin to] use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems 4 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 Number Calculate use mental strategies to multiply [and divide] 2-digit numbers by a single digit number D3.d Use partitioning and informal methods to multiply TU by U 29 Numeracy Framework for Wales E3.a Multiply TU by U using standard methods 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 E3.b Divide TU by U (standard/informal methods); understand division as repeated subtraction Y4: Divide TU ÷ U using informal written methods Y4: Divide TU ÷ U using standard written methods Y4: Understand division as repeated subtraction 4 Number Calculate use mental strategies to [multiply and] divide 2-digit numbers by a single digit number Last updated: 6th August 2013 Page 12 of 13 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 4 Abacus Evolve Week 30 Block E3.c E3.d Summary of maths covered Objectives Find fractions, quantities and shapes; relate fractions to division Recognise decimal notation; equivalence between fractions and decimals (½s and ¼s) Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill 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⁄ of 30cm 6 4 Y4: Use decimal notation for hundredths Y4: Recognise the equivalence between the 5 decimal and fraction forms of halves and quarters Y4: Compare and order amounts of money Y4: Recognise decimal notation in the context of money Number Money Number Fractions etc. Y4: Find fractions of numbers, quantities and shapes Y4: Find quarters by halving halves Y4: Begin to relate fractions to division order and compare items up to £100 use understanding of simple fraction and decimal equivalences when measuring and calculating, e.g. ½ = 0.5 [, 1/10 = 0.1] Page 13 of 13