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