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Scheme of Work: Functional Skills Mathematics: Entry Level 2 Course Delivery Duration: 30 weeks Aims Performance – Learners can: understand simple practical problems in familiar contexts and situations select basic mathematics to obtain answers use mathematics to obtain answers to simple given practical problems that are clear and routine generate results to a given level of accuracy use given checking procedures describe solutions to simple given practical problems in familiar contexts and situations Regular resources Smartboard, mini whiteboards & marker pens, flipchart and glue sticks, Powerpoint, rulers, calculators, paper and pens for group work Functional Skills: Mathematics - Scheme of Work 1 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Learning Objectives: Functional Skills Week/ Assessment of Content students will be able Teaching and Learning Activities Resources Standards Session Learning to… Induction Explain the Functional Q&A maths Skills Initial assessment activities: Initial and Initial qualification and the e.g. paper or computer-based Answers on diagnostic 1 assessment nature of assessment assessments, discussion, observation NA initial and assessment and of assessment activities, interview diagnostic activities diagnosStic Conduct initial and and self-assessment assessments assessment diagnostic assessments Identify current level of Feedback on working, strengths and Initial and Give feedback on initial and Assessment initial and weaknesses diagnostic 2 diagnostic assessments and results NA diagnostic Set targets and write assessment negotiate ILP with learner ILP assessment Individual Learning results Plans Activity - Match figures to words Observation of (smartboard) matching Whole group activities – counting activity change in twos, fives or tens Understand and use Read, write order and Cards activity – make random Random card set whole numbers with Q&A number cards between 1 and 100, from 1 to 100 up to two significant compare numbers with sort out cards into groups (do not Practice tasks figures, including the Working with up to 2 significant classify groups for learners), Lists of prices of use of zero as a place numbers with figures 3 Observation of identify odd and even numbers items in 2 holder 2 significant Recognise odd and even card sort, Paired activities – order a set of significant figures numbers ordering and shopping prices, compare prices of figures Identify odd and even Identify missing comparison items from different shops Computer numbers numbers in sequences activities Practice tasks – write the value of a Smartboard digit in a number, write numbers in Answers on words and figures, order numbers, practice tasks identify odd and even numbers, find missing numbers in sequences Functional Skills: Mathematics - Scheme of Work 2 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Discussion on language of addition – plus, add, more than Observation of Mini whiteboard activities – put mini choice of 3 differentiated additions whiteboard on board; ask learners to choose at Add numbers up to 100 and matching least one to do using any method, Mini whiteboards or with 2 significant activities canvass methods Washing line Working on addition with figures using a variety Activities – e.g. ask learners to with problems Understand and use 4 of strategies Q&A volunteer any two numbers which Practice tasks addition in practical numbers up to Identify when to add in add to 50 (smartboard) Computer situations 100 practical-problem Observation of Washing line – ask learners in pairs Smartboard solving washing line to choose any differentiated activity question from washing line, solve Completion of question and replace on line, practice tasks discuss results for different pairs Practice tasks – differentiated questions in addition Discussion on language of subtraction – from, minus, less than Mini whiteboard activities – put Observation of choice of 3 differentiated mini subtractions on board; ask learners whiteboard to choose at least one to do using Subtract numbers up to Mini whiteboards activity 100 or with 2 any method, canvass methods Washing line Working subtraction significant figures using Q&A Activities – e.g. ask learners to with problems Understand and use 5 a variety of strategies volunteer any two numbers which Practice tasks subtraction in with numbers Identify when to subtract to 10 (smartboard) Computer practical situations up to 100 Observation of subtract in practical- Washing line – ask learners in pairs Smartboard washing line problem solving to choose any differentiated activity Completion of question from washing line, solve practice tasks question and replace on line, discuss results for different pairs Practice tasks – differentiated questions in subtraction Functional Skills: Mathematics - Scheme of Work 3 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Mini whiteboard activities – choose Observation of from combination of addition and mini subtraction differentiated whiteboard questions Working on and card Mini whiteboards addition and Identify when to add or Discussion of addition and Understand and use activities Card activities 6 subtraction subtract in practical- subtraction uses in everyday life addition/subtraction Calculators with numbers problem solving Q&A Card activities – match question in practical situations up to 100 cards to answer cards Observation of Group activity – tuck shop – using group activity vouchers to work out daily costs of buying two items Card sort activity – have word Observation of problems on cards, ask groups to card sort sort cards into addition and activity subtraction piles Write practical problems on Smartboard ; colour code Mini whiteboards Working with Q&A and addition/subtraction language in Card activity Identify when to add or addition and observation of problem, relevant values and Coins subtract in practical- Understand and use subtraction in Smartboard irrelevant information in each Calculators 7 problem solving addition/subtraction practical activity problem. Ask learners to identify Computer Use answers to make in practical situations problem- each part Smartboard conclusions solving Observation of Card matching activity – put card matching functional maths Entry level 2 past activity questions on cards, have answer Observation of card set with deliberate errors practical Practical activity – e.g. shopping, activity buying more than one item and giving change Functional Skills: Mathematics - Scheme of Work 4 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Mini whiteboard activities – choose from differentiated doubling questions: canvass methods e.g. adding two numbers, counting up, Observation of partitioning, multiplying by 2 mini Investigate moving backwards to whiteboard get to question by halving activity (smartboard) Mini whiteboards Find twice the value of Demonstrate halving answers by Practice numbers with 2 Q&A physically dividing a number of questions significant figures using Working with items in two Game Use doubling and a variety of strategies Observation of 8 halving and Find half the value of game and Practice questions: doubling and Card activity halving in practical doubling halving, allow halving to act as Calculators situations numbers with 2 completion of check for doubling and vice versa Computer significant figures using practice Game – move around board picking Smartboard a variety of strategies questions Observation of up items to buy, learners pick up card matching cards on route with instructions to activity double the price or half the price of the item Card matching activity – put functional maths Entry level 2 past questions on cards, have answer card set with deliberate errors Functional Skills: Mathematics - Scheme of Work 5 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Practical tasks - make amounts of money up to £1 in different ways using 1p, 2p, 5p, 10p, 20p and 50p coins, give change Teach how to identify operation and key information in money Observation of Find different amounts calculation problems (Smartboard) practical tasks of money using a and card Card activity - put word problems Coins combination of coins involving adding prices, subtracting activity Computer Identify the operation prices, doubling prices and halving Working with Smartboard Recognise and use 9 in money problems prices on cards; ask learners to sort money Q&A Card activity money Develop skills in cards into categories and then Catalogues extracting relevant solve in pile of problems in pairs Observation of calculators information in problems Practical activity – price items in £ practical with money up to £100 and prices with 2 activity significant figures e.g. £230 in e.g. catalogue, produce shopping requests on cards (e.g. 2 DVDs, 1 DVD and 1 DVD player), ask learners to select cards at random and work out cost in pairs Recap skills (Smartboard) Understand and use Use numbers with 2 whole numbers with significant figures in Group problem-solving: give price up to two significant practical problems Observation of list in pounds up to £100, give figures Identify the operation group problems on cards which develop Identify odd and even Functional in practical problems problem- process skills (e.g. ‘which two Price list numbers maths requiring calculation solving and items can you afford if you only Mini whiteboards Understand and use 10 problems with with money or whole card activity want to spend £50?’, ‘Joe spent Calculators addition/subtraction numbers and numbers exactly £20. Which two items did Card activity in practical situations money Develop skills in Q&A he buy?’) Use doubling and extracting relevant Card activity: put functional maths halving in practical information in problems questions on cards, ask learners to situations with whole numbers sort into categories and then solve Recognise and use and money Canvass results money Functional Skills: Mathematics - Scheme of Work 6 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Recap months, discuss dates important to learners (e.g. birthdays, anniversaries) Observation of Teach common date formats card activities (Smartboard) and Smartboard Card match – different date Computer Use common date formats, include errors Working with activity Smartboard formats Card activity – have set of cards Recognise and use 11 dates and Card activity Identify dates on with dates on in common date time calendars Q&A Calendar calendars formats, have year calendar on diary Observation of Smartboard, ask learners to come practical up and circle dates on their cards activity Practical activity – receptionist at surgery scheduling appointment dates, write in patient names in online diary Tell the time using Teach telling the time in hours, analogue and digital half hours and quarter hours time in whole, half and Observation of (Smartboard) Large clockface quarter hours card activities Working with Read times in words Card activity – matching clock face Small class set of Recognise and use 12 times with analogue times with clock faces time and figures in whole, Q&A time times in words Card activities half and quarter hours Planning event card activity – Mini whiteboards Use times to plan schedules decide in groups how to plan a three day holiday Functional Skills: Mathematics - Scheme of Work 7 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Recap finding missing numbers in sequences (Smartboard) Find missing numbers in Card activity 1 – identify missing scales Observation of Recognise sequences numbers in sequences Card activites Use scales to read card activities of numbers Working with measurements to the Discussion – different types of Computer Use simple scales and 13 scales (Smartboard) Smartboard simple scales nearest labelled Q&A measure to the Card activity 2– in pairs read Mini whiteboards division nearest labelled Identify common measurements on scale cards division measurements Card activity 3 – discuss how to match item cards with measurements found in activity 2 Discuss how to measure Practical activities – measure length of classroom using strides, estimate width of classroom in strides, measure width of desk in Estimate and measure hand spans, estimate length of desk lengths using non- Observation of in hand spans standard units practical Discuss what metric units length is measured in, establish that metres Rulers Recognise common activities are bigger than centimetres and Mini whiteboards Working with metric units for length Recognise and use 14 centimetres are bigger than Objects to length Measure using a metric Q&A familiar lengths measure ruler millimetres Estimate and measure Completion of Show centimetres on a ruler lengths using metric practice tasks Use a ruler to measure objects with units lengths having a whole amount of centimetres Practical activity - estimating and measuring objects Practice task – measuring lengths to nearest labelled division Functional Skills: Mathematics - Scheme of Work 8 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Teach abbreviations for metric units of length: mm, cm, m (Smartboard) (Smartboard) - match different Observation of Know abbreviations for measuring instruments with Smartboard Mini whiteboards common metric units measured objects e.g. ruler, and card Rulers Recognise common measuring tape, trundle wheel activities Measuring tapes 15 Working with measuring instruments Card activity – have selection of Computer Recognise and use length for length images of objects on cards of clear familiar lengths Q&A Smartboard Estimate and order different lengths and a set cards Card activity lengths of common with mm, cm, m on; ask learners to Completion of Practice task objects arrange object images in order of practice tasks size of length, ask them to then discuss whether they would measure them in mm, cm, or m Practice task Discuss what weight is measured in, establish that kilograms are bigger than grams Recognise common Weigh objects on small scales and metric units for weight Observation of learners on weighing scales (to nearest labelled division) Small scale pan Weigh objects using weighing task Weighing scales scales to the nearest and card Teach abbreviations g, kg Objects to weigh labelled division activity (Smartboard) Working with Mini whiteboards Recognise and use 16 Order weights of given Card activity – have selection of weight Computer familiar weights objects Q&A images of objects on cards of clear Smartboard Know abbreviations for different weights and a set cards Practice task common metric units Completion of with g, kg on; ask learners to for weight practice task arrange object images in order of size of weight, ask them to then discuss whether they would weigh them in g or kg Practice task Functional Skills: Mathematics - Scheme of Work 9 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Discuss what capacity is measured in, establish that litres are bigger Recognise common than millilitres metric units for Measure different capacities of capacity common objects e.g. litre of Measure capacity of Observation of orange juice, different size bottle Different sized containers with liquids measuring task of water, can of fizzy drink and containers with using scales to the and practical compare with capacities given on liquid Working with nearest labelled activity Recognise and use 17 labels Measuring jugs capacity division familiar capacities Order capacities of Q&A Teach abbreviations ml, l Computer (Smartboard) Smartboard given liquids Practical activity – have selection Mini whiteboards Know abbreviations for common metric units of different size containers with for capacities liquid in, ask learners to order in size of capacities, ask them to check by measuring actual capacities Discuss what temperature is measured in Discuss common temperatures e.g. normal body temperature, Observation of temperature of ice and boiling Know units for card matching water, temperature of warm sunny temperature and practical Thermometers in day in UK Know common activities degree Celcius 18 Working with temperatures Card matching activity – match Card activity Recognise and use temperature temperatures in °C with familiar temperatures Measure temperature Q&A Mini whiteboards to the nearest labelled temperatures of e.g. boiling water Practice task division Completion of (include error cards) practice task Practical activity – learners measure each other’s body temperature in pairs (to nearest labelled division) Practice task Functional Skills: Mathematics - Scheme of Work 10 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Observation of Recap skills in using time and Know and use common card activity measures (Smartboard) metric measures Functional Read common measures Q&A Card activity: put functional maths Computer Recognise and use maths with questions about time and measures Smartboard 19 to the nearest labelled familiar measures, time and on cards, ask learners to sort into Card activity division Observation of including time measures categories and then solve in pairs Mini whiteboards Use measurements to group or small groups make conclusions activities Canvass results Recap names of 2-D and 3-D shapes Teach language of shapes Boxes of Know properties of (Smartboard): side, corner, edge, common shapes common 2-D and 3-D face and solids shapes Working with Use properties of Card game –shape dominoes Dominoes Know properties of 20 shape and Group activity – sort 2-D and 3-D Card problem- simple 2-D and 3-D common 2-D and 3-D space shapes into piles, identify and solving activity shapes shapes to solve tabulate properties Computer practical problems and Group activities – uses properties of Smartboard to make conclusions shapes in card problem-solving activity Group practical activity: plan seating area with rectangle tables, Observation of positioning together and apart Large boxes and group practical smaller identical Use properties of activities Group practical activity: have boxes to be Working with common 2-D and 3-D numerous identical small boxes and packed Know properties of 21 shape and shapes to solve Q&A selection of large boxes, estimate Mini whiteboards simple 2-D and 3-D how many small boxes can fit into space practical problems and Rectangular shapes each large box, check to see which to make conclusions tables in Completion of group has the closest estimate classroom practice tasks Practice tasks – functional maths problem-solving with shape and space Functional Skills: Mathematics - Scheme of Work 11 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Recap extracting highest and Observation of Identify the largest and lowest values from string of holiday card Computer smallest value in a numbers (Smartboard) activity Smartboard 22 Working with simple list Holiday card activity – in groups Holiday card Extract information information Use information in matches statements with lists ; from simple lists Q&A activity simple lists to make makes decision on holiday Mini whiteboards recommendations destination based on criteria and lists of information Practice tasks – extracting information from lists e.g. highest and lowest values, putting information in order, comparing Observation of information from two separate lists Extract and use practice tasks Practical activity – give group a Practice tasks and practical cafe price list, ask questions such Cafe price lists information in simple Working with activities as what is the price of two coffees? Calculators Extract information lists to draw 23 information Etc. Mini whiteboards from simple lists conclusions and make Q&A Practical activity – gives groups e.g. Catalogues recommendations sports equipment catalogues from different companies – ask them to find cheapest items, to collect prices and put in a table; compare results from different groups and make recommendations Functional Skills: Mathematics - Scheme of Work 12 2010/2011 Scheme of Work: Functional Skills Mathematics: Entry Level 2 Teach tallies (Smartboard) Practical activity – in pairs draw up Observation of tally marks to show a collection of practical Draw tally marks different coins activities Coins Working with Represent information Practical activity – e.g. with bags of Bags of sweets Extract information 24 using tally marks different coloured sweets, ask each information Q&A Practice task from simple lists Use tally marks to draw group to tally different colours, Mini whiteboards conclusions compare and make conclusion e.g. Completion of practice task red is the most popular colour Practice task – collect information using tallies Q&A Revising Answer test questions Sample Completion of All 25 functional in Entry Level 2 Revision using sample assessments assessments sample maths functional maths assessments Answer test questions Completion of External All 26 in Entry Level 2 External External assessment – Set 1 papers assessments functional maths assessment Revising Individual feedback on assessment External All 27 functional Q&A and revision assessments maths Answer test questions Completion of External All 28 in Entry Level 2 External External assessment – Set 2 papers assessments functional maths assessment Revising Individual feedback on assessment External All 29 functional Q&A and revision assessments maths Answer test questions Completion of External All 30 in Entry Level 2 External External assessment – Set 3 papers assessments functional maths assessment Functional Skills: Mathematics - Scheme of Work 13 2010/2011