National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 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 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 1 Block A1.a A1.b Summary of maths covered Objectives Element Skill Number Number facts read and write numbers to 100 000 Number Number facts 4 Y5: Use the vocabulary of comparing and ordering numbers, including symbols such as <, >, = Y5: Order a set of integers less than 1 million Y5: Say one or more numbers lying between two given numbers (revise) Number Number facts compare and estimate with numbers up to 1000 Y5: Know by heart all multiplication facts up 5 to 10 × 10 Y5: Derive quickly division facts corresponding to multiplication facts up to 10 6 × 10 Y5: Recognise that from one multiplication or division fact, others can be found Y5: Use the relationship between multiplication and division to multiply and divide mentally 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 Number facts use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems 3–6 Y5: Rehearse the concept of a remainder, when dividing Y5: Begin to express a quotient as a fraction, or as a decimal when dividing an 4 integer by 2, 4, 5 or 10, or when dividing £.p Y5: Round up or down after division, depending on the context (revise) 5 Reasoning Review interpret answers within the context of the problem and consider whether answers [including calculator, analogue and digital displays] are sensible Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number Number Fractions, etc. Comparing and ordering numbers Know by heart multiplication facts up to 10 × 10 A1.d Strand 5 Y5: Read and write whole numbers in figures and words, and know what each digit 6 represents A1.c Year Read and write whole numbers in figures and words 2 Numeracy Framework for Wales Rehearse the concept of a remainder when dividing Last updated: 6th August 2013 read and write numbers to 1 million [and numbers to 3 decimal places] use understanding of simple fraction and decimal equivalences when measuring and calculating, e.g. 1/2 = 0.5, 1/10 = 0.1 Page 2 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 3 Block B1.a Summary of maths covered Objectives Make general statements about odd and even numbers B1.b 4 Construct number sequences; recognise and explain patterns B1.c Recognise parallel and perpendicular lines B1.d Classify triangles – equal sides, equal angles, lines of symmetry C1.a Draw and interpret frequency tables, pictograms and bar graphs C1.b Strand Element Skill 3–6 Y5: Make general statements about odd or even numbers, including their sums and differences 3–6 Y5: Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it Y5: Explain a generalised relationship (formula) in words Y5: Use knowledge of sums or differences of odd/even numbers to check calculations Reasoning Identify identify the appropriate steps and information needed to complete the task or reach a solution Reasoning Represent explain results and procedures clearly using mathematical language 3–6 Reasoning Identify identify the appropriate steps and information needed to complete the task or reach a solution 3–6 Reasoning Represent use appropriate notation, symbols and units of measurement Y5: Construct number sequences Y5: Recognise and explain patterns and relationships, generalise and predict Y5: Recognise and extend number sequences formed by counting in steps of constant size, extending beyond zero when counting back, including decimals No matching skills Y5: Classify triangles, using criteria such as equal sides, equal angles, lines of symmetry No matching skills Y5: Draw and interpret frequency tables, pictograms and bar graphs Organise and interpret data in bar line graphs. Find the mode Last updated: 6th August 2013 Year Y5: Recognize parallel and perpendicular lines; use rulers and/or set squares Y5: Recognise properties of rectangles 5 Numeracy Framework for Wales 5–6 Data Data represent data using: – [lists, tally charts, diagrams and] frequency tables – bar charts, grouped data charts [line graphs and conversion graphs] 5–6 Data Data extract and interpret information from an increasing range of [diagrams, timetables and] graphs [(including pie charts)] Y5: Organise and interpret data represented 3–4 in bar line graphs Y5: Begin to find the mode of a set of data Data Data represent data using: – [bar charts and] bar line graphs [labelled in 2s, 5s and 10s] 5–6 Data Data extract and interpret information from an increasing range of [diagrams, timetables and] graphs [(including pie charts)] 5–6 Data Data [Begin to] use [mean, median,] mode [and range] to describe a data set Page 3 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 6 Block C1.c Summary of maths covered Use, read and write standard metric units of length: mm, cm, m, km Objectives C1.d Use, read and write standard metric units of weight: kg, g 7 D1.a Recognise reflective symmetry and the axis of symmetry D1.b Rehearse names and properties of common 3D shapes Last updated: 6th August 2013 Numeracy Framework for Wales Y5: Use, read and write standard metric units of length: mm, cm, m, km Y5: Convert from one larger metric unit of length to another smaller unit Y5: Suggest suitable units and measuring equipment to estimate or measure length Y5: Measure and draw lines to the nearest millimetre Y5: Know the equivalent of ½, ¼, ¾, 1/10, 1/ 100 of 1 km, 1 m, in m, cm Y5: Know imperial units of length: miles Y5: Use, read and write standard metric units of weight: kg, g Y5: Convert from one larger metric unit of weight to another smaller unit Y5: Record estimates and readings from weighing scales Y5: Suggest suitable units and measuring equipment to estimate or measure weight Y5: Know the equivalent of ½, ¼, ¾, 1/10, 1/ 100 of 1 kg in g Year Strand Element Skill 3–6 Reasoning Identify select and use suitable instruments and units of measurement 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. use measuring instruments with 10 equal divisions between each major unit, and record using decimal notation, e.g. 4.2cm, 1.3kg 5 Measuring Length, etc. make use of conversions, e.g. ¼ of a km = 250m. 6 Measuring Length, etc. use the language of imperial units in daily use, e.g. miles, pints 3–6 Reasoning Identify select and use suitable instruments and units of measurement 4 Measuring Length, etc. use weighing scales with divisions to weigh objects to the nearest 5g, 10g, 25g or 100g 5 Measuring Length, etc. use measuring instruments with 10 equal divisions between each major unit, and record using decimal notation, e.g. 4.2cm, 1.3kg 5 Measuring Length, etc. make use of conversions, e.g. ¼ of a km = 250m Y5: Understand the terms ‘reflective symmetry’ and ‘axis of symmetry’ Y5: Recognise reflective symmetry in regular polygons Y5: Recognise where a shape will be after reflection in a mirror line parallel to one side Y5: Complete symmetrical patterns with two lines of symmetry at right angles No matching skills Y5: Rehearse the names and properties of common 3D shapes Y5: Rehearse the terms ‘polyhedron’, ‘tetrahedron’ and begin to use ‘octahedron’ Y5: Visualise 3D shapes from 2D drawings and identify different nets of 3D shapes No matching skills Page 4 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 8 Block D1.c Summary of maths covered Continue to derive, quickly, pairs of numbers that total 100 Objectives D1.d Find differences by counting on through the next multiple of 10, 100 or 1000 9 E1.a Derive doubles of integers up to 100 and corresponding halves E1.b Derive doubles of multiples of 10–100 and of 100–10 000 10 E1.c Use fraction notation & change improper fractions to mixed numbers E1.d Recognise when two simple fractions are equivalent Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y5: Continue to derive quickly pairs of numbers that total 100 Y5: Derive quickly pairs of 2-digit decimals that total 10 Y5: Continue to derive quickly pairs of multiples of 50 that total 1000 6 Number Calculate [Begin to] add and subtract numbers using whole numbers and decimals Y5: Find differences by counting on through the next multiple of 10, 100 or 1000 Y5: Find what to add to a 3-digit number to make the next higher multiple of 100 4 Number Calculate find differences within 1000 5 Number Calculate add [and subtract] 3-digit numbers using an appropriate mental [or written] method Y5: Derive doubles of integers up to 100 and 4 2-digit decimals and their corresponding halves Y5: Double or halve 2-digit numbers by doubling or halving the tens first Y5: Identify near doubles using known doubles, including decimals Number Fractions, etc. 4 Number Calculate Y5: Derive doubles of multiples of 10 to 1000, and the corresponding halves Y5: Derive doubles of multiples of 100 to 10 000, and the corresponding halves Y5: Use known number facts and place value to multiply or divide mentally use mental strategies to multiply and divide 2-digit numbers by a single digit number No matching skills Y5: Use fraction notation, including mixed numbers, and the vocabulary ‘numerator’ and ‘denominator’ Y5: Change an improper fraction to a mixed number, and vice versa 5 Y5: Recognise when two simple fractions are equivalent Y5: Relate tenths and hundredths 6 Y5: Order fractions and position them on a number line Y5: Solve simple problems involving proportion Y5: Estimate simple proportions such as one third, seven tenths halve 3-digit numbers in the context of number, money and measures Number Fractions, etc. use doubling and halving strategies when working with simple proportions Number Fractions, etc. [Begin to] use simple ratio and proportion Page 5 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 11 Block A2.a Summary of maths covered Round up any integer to nearest 10, 100 or 1000 Objectives A2.b Use decimal notation for T and H 12 A2.c Multiply or divide any large integer up to 10 000 by 10 or 100 A2.d Recognise multiples and begin to understand common multiples 13 B2.a Continue to multiply TU×U by partitioning T and U B2.b Use doubling and halving to help multiply Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y5: Round any integer up to 10 000 to the nearest 10, 100 or 1000 Y5: Make and justify estimates of large numbers 5 Number Estimate estimate by rounding to the nearest 10, 100 or 1000 Y5: Use decimal notation for T and H Y5: Know what each digit represents in a number with up to two decimal places Y5: Order a set of decimal numbers 5 Number Number facts compare numbers with 1 and 2 decimal places 5 Number Fractions, etc. Y5: Multiply or divide any integer up to 10 000 by 10 or 100 and understand the effect Y5: Use known number facts and place value to multiply or divide mentally Y5: Multiply decimals by 10, 100 or 1000 5 Number Number facts multiply and divide numbers and decimals by 10 and 100 Y5: Recognise multiples of numbers up to the tenth multiple Y5: Recognise and explain patterns and relationships, generalise and predict Y5: Begin to understand the concept of common multiples 5 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 6 Number Number facts use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems Y5: Continue to multiply TU × U by partitioning into T and U Y5: Begin to use brackets Y5: Use known number facts and place value to multiply or divide mentally 4 Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number 4 Y5: Use doubling and halving to help multiply Y5: Use doubling or halving to find new facts from known facts Y5: Multiply two numbers by halving one and doubling the other Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number use understanding of simple fraction and decimal equivalences when measuring and calculating, e.g. ½ = 0.5, 1/10 = 0.1 Page 6 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 14 Block B2.c Summary of maths covered Read and plot coordinates in the first quadrant Objectives B2.d 15 C2.a Rehearse names and properties of common 2D shapes Understand and use formula for area of rectangle C2.b Understand, measure and calculate perimeters of rectangles 16 C2.c Use, read and write units of time C2.d Read, write and interpret 24hour digital clock times Last updated: 6th August 2013 Numeracy Framework for Wales Year 5 Y5: Read and plot coordinates in the first quadrant Y5: Recognise where a shape will be after a translation Strand Measuring Element Area, etc. Skill use coordinates to specify location No matching skills Y5: Rehearse the names and properties of common 2D shapes Y5: Rehearse regular and irregular polygons Y5: Know the meaning of ‘diagonal’ of a polygon Y5: Understand area measured in square centimetres Y5: Explain a generalised relationship (formula) in words Y5: Understand and use the formula in words ‘length × breadth’ for the area of a rectangle 5 Measuring Area, etc. calculate, estimate and compare the area of squares and rectangles using standard units Y5: Understand, measure and calculate perimeters of rectangles Y5: Explain a generalised relationship (formula) in words Y5: Understand, measure and calculate perimeters of regular polygons 5 Measuring Length, etc. measure perimeters No matching skills Y5: Use, read and write units of time (including decade, millennium, leap year) Y5: Know the number of days in each month Y5: Convert from one unit of time to another Y5: Read the time on a 24-hour digital clock and use 24-hour clock notation Y5: Use timetables 5 Measuring Time 6 Measuring Time [Begin to] use and interpret timetables and schedules to read and use analogue and digital clocks plan events and activities and make calculations as part of the planning process Page 7 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 17 Block Summary of maths covered Objectives Strand Element Skill Strategies for adding strings of 1-digit numbers and multiples of 10 Y5: Continue to add several 1-digit numbers Y5: Use known number facts and place value for mental addition and subtraction Y5: Add several multiples of 10 Y5: Check the sum of several numbers by adding in reverse order D2.b Rehearse mental addition and subtraction strategies 5 Y5: Use known number facts and place value for mental addition and subtraction Y5: Partition numbers into H, T and U, adding the most significant digit first Y5: Develop further the relationship between addition and subtraction Y5: Recognise that from one addition or subtraction fact, three other related facts can be found Number Calculate add and subtract 3-digit numbers using an appropriate mental [or written] method Y5: Add near multiples of 10 and 100 to 2- and 3-digit numbers Y5: Partition numbers into H, T and U, adding the most significant digit first 5 Number Calculate add [and subtract] 3-digit numbers using an appropriate mental or written method Y5: Mentally add or subtract a pair of decimal numbers, crossing U or T Y5: Use known number facts and place value for mental addition and subtraction of decimals Y5: Find what to add to a decimal to make the next whole number 5 Number Calculate find differences between numbers with 1 decimal place 5 Number Money add and subtract totals less than £100 using correct notation, e.g. £28.18 + £33.45 6 Number Calculate add and subtract numbers using whole numbers and decimals 5 Y5: Rehearse multiplying HTU × U using informal written methods Y5: Multiply HTU × U using standard written methods Number Calculate multiply [and divide] 3-digit numbers by a single-digit number Y5: Multiply TU × TU using standard written methods Number Calculate multiply 2- [and 3-] digit numbers by a 2-digit number D2.c D2.d Use rounding to add near multiples of 10 to 2- and 3digit numbers Mentally add or subtract a pair of decimal numbers 19 Year D2.a 18 Numeracy Framework for Wales E2.a E2.b Rehearse multiplying HTU × U using informal written method Multiply TU × TU using standard written methods Last updated: 6th August 2013 No matching skills 6 Page 8 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 20 Block Summary of maths covered Objectives Strand Element Skill Relate fractions to division 5 Y5: Relate fractions to division Y5: Use division to find fractions, including T and H of numbers and quantities Number Fractions, etc. E2.d Know and apply tests of divisibility by 2, 4, 5, 10 and 100 Y5: Know and apply tests of divisibility by 2, 5 4, 5, 10 and 100 Y5: Explain a generalised relationship (formula) in words Y5: Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it 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 5 Number Number facts compare numbers with 1 and 2 decimal places 5–6 Measuring Temperature calculate temperature differences, including those involving temperature rise and fall across 0°C Y5: Round a number with one decimal place 6 to the nearest whole number Y5: Round a number with two decimal 6 places to the nearest whole number Number Estimate estimate by rounding to the nearest [10,100, 1000 or] whole number Number Estimate estimate by rounding to the nearest [10,100, 1000 or whole number 4 Y5: Multiply using closely related facts Y5: Develop higher multiplication tables, e.g. the ×12 table from the ×10 and ×2 tables Y5: Multiply by 19, 21, … by multiplying by 20, … and adjusting Y5: Check with an equivalent calculation Number Calculate use mental strategies to multiply and divide 2-digit numbers by a single digit number Y5: Multiply U.t × U using informal written methods Y5: Multiply U.t × U using standard written methods Y5: Check with the inverse operation when using a calculator Number Estimate check answers using inverse operations A3.a Order a given set of positive and negative numbers A3.b 22 Year E2.c 21 Numeracy Framework for Wales A3.c Round one and two decimal places to the nearest whole number Multiply bigger numbers by using known facts A3.d Multiply U.t × U using informal written methods Last updated: 6th August 2013 Y5: Order a given set of positive and negative numbers Y5: Calculate a temperature rise or fall across 0 degrees C Y5: Recognise a negative number on a calculator 5 calculate fractional quantities, e.g. 1/8 of 24 = 3, so 5/8 of 24 = 15 Page 9 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 23 Block B3.a Summary of maths covered Objectives Add two integers less than 10 000 using written methods B3.b 24 B3.c Add two 2-place decimals using written methods Subtract integers less than 10 000 using formal/informal methods B3.d Subtract 2-place decimals using formal/informal methods Last updated: 6th August 2013 Numeracy Framework for Wales Year Strand Element Skill Y5: Add two integers less than 10 000 using 5 standard written methods Y5: Add more than two integers less than 10 000 Y5: Add two integers less than 10 000 using informal written methods Number Calculate add [and subtract] 3-digit numbers using an appropriate mental or written method 5 Number Money add and subtract totals less than £100 using correct notation, e.g. £28.18 + £33.45 6 Number Calculate add [and subtract] numbers using whole numbers and decimals Y5: Subtract one integer from another, each 5 less than 10 000, using standard written methods 5 Y5: Subtract one integer from another, each less than 10 000, using informal written methods Y5: Understand the effect of and relationships between the four operations (addition and subtraction) Y5: Check with the inverse operation Number Calculate [add and] subtract 3-digit numbers using an appropriate mental or written method Number Estimate check answers using inverse operations 5 Number Calculate find differences between numbers with 1 decimal place 5 Number Estimate check answers using inverse operations 5 Number Money add and subtract totals less than £100 using correct notation, e.g. £28.18 + £33.45 6 Number Calculate [add and] subtract numbers using whole numbers and Y5: Add two decimal numbers, with one or two decimal places, using standard written methods Y5: Understand the effect of and relationships between the four operations (addition and subtraction) Y5: Check with the inverse operation Y5: Subtract one decimal number from another, both with one or two decimal places, using informal and standard written methods decimals Page 10 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 25 Block C3.a C3.b 26 C3.c Summary of maths covered Classify events based on degrees of likelihood Draw and interpret a line graph Objectives Y5: Classify events based on degrees of likelihood Y5: Recognise the distinction between ‘impossible’, ‘unlikely’, ‘likely’ and ‘certain’ Y5: Draw and interpret a line graph Use standard units of capacity and convert from larger to smaller C3.d Estimate, measure and draw angles in degrees 27 Numeracy Framework for Wales Year Strand Element Skill No matching skills 5–6 Data Data represent data using: – [bar charts, grouped data charts] line graphs [and conversion graphs] 5–6 Data Data extract and interpret information from an increasing range of [diagrams, timetables and] graphs [(including pie charts)] Y5: Use, read and write standard metric units of capacity: l, ml Y5: Convert from one larger metric unit of capacity to another smaller unit Y5: Know the equivalent of ½, ¼, ¾, 1/10, 1/ 100 of 1 litre in ml Y5: Record estimates and readings from capacity scales Y5: Suggest suitable units and measuring equipment to estimate or measure capacity 3–6 Reasoning Identify select and use suitable instruments and units of measurement 4 Measuring Length, etc. measure capacities to the nearest 50ml or 100ml 5 Measuring Length, etc. use measuring instruments with 10 equal divisions between each major unit, and record using decimal notation, e.g. 4.2cm, 1.3kg 5 Measuring Length, etc. make use of conversions, e.g. ¼ of a km = 250m Y5: Use a protractor to measure and draw acute and obtuse angles to the nearest 5 degrees Y5: Understand and use angle measure in degrees Y5: Estimate an angle in degrees 5 Reasoning Identify estimate and visualise size when measuring and use the correct units 7 Measuring Area, etc. [Begin to] measure and draw angles D3.a Rehearse relationship between degrees and right angles Y5: Calculate angles in a straight line Y5: Rehearse the relationship between degrees and right angles No matching skills D3.b Identify, estimate and order acute, obtuse and reflex angles Y5: Identify, estimate and order acute, obtuse and reflex angles Y5: Recognise acute and obtuse angles in polygons No matching skills Last updated: 6th August 2013 Page 11 of 12 National Numeracy Framework for Wales 2013 Which numeracy skills are covered in each Abacus Evolve week? Abacus Evolve Year 5 Abacus Evolve Week 28 Block D3.c Summary of maths covered Divide HTU by U using informal written methods Objectives D3.d Divide HTU by U using standard written method 29 Year Strand Element Skill Y5: Rehearse dividing TU ÷ U using informal 5 written methods Y5: Divide HTU ÷ U using informal written methods (with integer remainder) Number Calculate [multiply and] divide 3-digit numbers by a single-digit number Y5: Rehearse dividing TU ÷ U using standard written methods Y5: Divide HTU ÷ U using standard written methods (with integer remainder) Y5: Understand the effect of and relationships between the four operations (multiplication and division) Y5: Check with the inverse operation when using a calculator 5 Number Calculate [multiply and] divide 3-digit numbers by a single-digit number 5 Number Estimate check answers using inverse operations E3.a Recognise equivalence between fractions and decimals Y5: Recognise equivalence between fractions and decimals 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 E3.b Begin to find percentages of whole number quantities Y5: Begin to understand percentage as the number of parts in every 100 Y5: Begin to express simple fractions as percentages Y5: Begin to find simple percentages of small whole-number quantities 6 Number Fractions, etc. [Begin to] use understanding of simple fraction, decimal and percentage equivalences, e.g. find 25% of 60cm and know that this is equivalent to ¼ of 60cm Y5: Know squares of numbers to at least 10 × 10 Y5: Recognise and explain patterns and relationships, generalise and predict 5 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 6 Number Number facts use mental strategies to recall multiplication tables up to 10 x 10 and use to solve division problems 30 Numeracy Framework for Wales E3.c Know squares of numbers to at least 10×10 E3.d Find all the pairs of factors of any number up to 100 Last updated: 6th August 2013 Y5: Find all the pairs of factors of any number up to 100 Y5: Use factors to help multiply, e.g. 8 × 12 = 8 × 4 × 3 No matching skills Page 12 of 12