ࡱ> :<789 @ 0bjbj$$ :4FF_ @@@@TuTuTu8uLuxx"xxx{{{$PR 9l}l{l{^l}l} @@xxFl}@x@lxl}nk@,xx 6KSTuLs Ӡ \0Tv@@@@@L{L|6L|,x|{{{ jpnpn Course delivery information: Functional Skills Level 2 (Construction) Duration: 36 weeks Aims: Performance - Learners can: Understand practical problems in familiar and unfamiliar contexts and situations, some of which are non-routine Identify, obtain and utilise necessary information to tackle problems Select and apply mathematics in an organised way to find solutions to practical problems for different purposes Use appropriate checking procedures at each stage Interpret results, consider the appropriateness of conclusions, and communicate solutions to practical problems, providing explanations Regular resources/textbooks: Smartboard, WB & Pens, Power Point, paper & pens for group work, textbook, internet and LRC resources. Week/ SessionContentLearning Objectives: students will be able toAssessment of LearningTeaching and Learning ActivitiesResourcesFunctional Skills Standards (including ECM theme)1Induction Initial assessmentTell the KS/BS/FS requirements Answer questions on the Profiler assessmentQ&A Profiler Assessment Introduce the Key/Basic/Functional Skills discuss assessment and portfolio requirements etc. Paper or computer-based diagnostic assessments Handouts Whiteboard Assessments Computers2Initial assessment 1:1 feedbackComplete the Profiler assessment Complete autumn term progress sheetsProfiler Assessment Continue paper/computer-based diagnostic assessmentsAssessments Computers3Language of Maths Place value Read, write order and compare large numbers Discuss negative numbers in practical contexts Read temperatures on a thermometer Use negative numbers in a practical context, e.g. temperature below zero, loss in tradingObservation of ordering activity Q&A Peer checking: Correctly read and record temperature feedback to learners Discussion on government spending figures on public servicesActivity - Order a set of monthly trading figures for a year, including losses. Worksheet write the value of a digit in a number Cards activity - Order a set of +ve and ve numbers (smartboard) Paired activity - Describe a set of numbers (more than, less than, equal to) (smartboard) Paired activity measure and record body temperaturesMatching cards Thermometers Worksheets Computer SmartboardRead, write, order and compare positive and negative numbers of any size. Understand the meaning of negative numbers in a practical context, for example temperature below zero, loss in trading.4Multiples, factors and prime numbers Use mental and written methods of calculation to generate results when solving problems using whole numbers of any size Complete calculations using the words multiple, prime number and factor and relate them to multiplication and division factsSuccessful completion of problem solving worksheet & mental maths game Observation of activityDiscuss different methods that can be used for mental and written calculations and share short cuts and 'tricks', with explanations, factors. Use a number square and cross off multiples of numbers in turn to find prime numbers. Practise breaking down numbers into prime factors. Activity cards Worksheets Follow on game cards Dominoes Smartboard Computer Number squareUnderstand multiple and factor, and relate them to multiplication and division facts. Understand primes and know prime numbers up to 20. Give the level of accuracy of results5Ratio and Proportion  Solve problems involving the number of parts in a given ratio, and the value of one part Checking/Marking of progress/completion of problem solving worksheet Peer checking: Scale quantities up (or down), using direct proportion, e.g. recipes, cement mixes, etc. Observation of calculating actual measurements from a scale drawing. Discussion ratio in everyday situation (smartboard) Worksheets problem solving Group activity actual measurement from a scale drawing Activity cards Worksheets Scale drawing Smartboard Computer Understand ratio written in the form 3:2, sharing 60 in the ratio 3:2. Understand how to work out the number of parts in a given ratio, and the value of 1 part. 6Simple Algebra Make distinction that words and symbols in expressions and formulae rule represent variable quantities (numbers), not things Evaluate expressions and make substitutions in given formulae in words and symbols to produce results.  Observation of Smartboard activity -Matching expressions Peer checking Worksheet on how to calculate area and volume from a given formula Discussion examples of practical applications of algebra. Board work - match expressions in words and symbols. Convert expressions from words to symbols, and vice versa. (smartboard). Worksheets - Evaluate simple formulae using brackets, e.g. perimeter = 2 (l + w). Paired activity - changing temperature from Fahrenheit to Celsius, changing between metric and imperial units.Whiteboard Worksheets Calculators Smartboard ComputerUnderstand that words and symbols in expressions and formulae represent variable quantities (numbers) not things, so 2a + 2b cannot be explained as 2 apples and 2 bananas. Understand that the contents of brackets must be worked out first.7Recap of first half term topics and completion of mini project. Complete mini project. Q & A session Direct questioning Mark the assignment and give feedback Learners to complete mini project (work out profit & loss in a business) and answer oral questions (e.g. House hold or small business budgeting) Set homework Mini project Use efficient methods to carry out calculations involving two or more steps, including efficient use of a calculator. Understand that when there is no operator between a number and a variable, two variables, or a bracket, multiplication is implied. Make substitutions in given formulae in words and symbols. ECM5  HALF TERM Week/ SessionContentLearning Objectives: students will be able toAssessment of LearningTeaching and Learning ActivitiesResourcesFunctional Skills Standards (including ECM theme)8Evaluation of a number as fraction of another Identify and recognise equivalent fractions Know how to reduce a fraction to its simplest form Checking/marking of progress/completion of worksheet Starter activity equivalent fractions Board work Represent the outcome of observations as a fraction Discuss - strategies for estimating one number as a fraction of another, Worksheet - Evaluate quantities as fractions, Whiteboard Smartboard Computer worksheetKnow how to change fractions to equivalent fractions with a common denominator. Identify equivalences between fractions, decimals and percentages. Understand that quantities must be in the same units to evaluate and compare.9Equivalent fractionsMatch equivalent fractionsObservation of matching cards game Discussion examples of fractions and its equivalencies in everyday life (use leaflets, adverts and headlines). Understand that fractions add up to one whole Activity Write fractions of an hour as decimals on a time sheet (smartboard) Card activity matching equivalent fractions, decimal and percentagesLeaflets Whiteboard Matching cards Worksheets Drag and drop exercise.Know how to change fractions to equivalent fractions with a common denominator Evaluate one number as a fraction or percentage of another. 10DecimalsWrite down the value of figures in numbers of up to three decimal places Add, subtract, multiply and divide decimals up to three places Successful completion of task Checking/marking of progress/completion of worksheetDiscussion - rounding answers on a calculator and the degree of accuracy that might be appropriate, e.g. calculations with money, precise measurements) Activity  Compare times from sprint races that are recorded in seconds to three decimal places.) Search for goods on European online shopping sites and convert the prices from to sterlingWhiteboard Ordering cards Smartboard computersAdd, subtract, multiply and divide decimals up to three places and check answers in the context of measurements and money11Percentage of quantitiesOrder and compare percentages and demonstrate understanding of percentage increase and decrease. Calculate VAT of given amounts.checking/marking the progress/completed ]task Peer-checking Discuss quick ways of finding VAT Use interest rates to compare the cost of a loan with credit facilities. Paired Activity - Practise examples in context, e.g. percentage increase or decrease of plumbing materials Add VAT to a completed repair. Use any methods.Worksheets Interest rates from banks. Internet Use fractions, decimals and percentages to order and compare amounts or quantities and to solve practical problems. Choose to use a fraction, decimal or percentage to work out VAT. 12Evaluation of one number as a percentage of anotherCalculate one number as percentage of another. Know and use strategies to check answers obtained with a calculator Direct questioning Peer checking feedback to learnersDiscussion percentages using the attributes of the group, e.g. what percentage of the group is male, Activity match calculations to answers Smartboard / skillswise) Activity Use a calculator to check the answers to calculations done by other methods (manual or by another person).Whiteboard Matching cards Smartboard Computers Calculators Evaluate one number as a fraction or percentage of another. Understand that quantities must be in the same units to evaluate and compare. 13Equivalent fractions, decimals and percentagesComplete a table of equivalent fractions, decimals and percentages including in real life context.Observation of activity. Q&ABoardwork show learners how to convert between fractions, decimals and percentages. Paired activity complete a table of equivalencies Matching game (Skillswise)Whiteboard Matching cards Worksheets ComputersUnderstand that fractions, decimals and percentages are different ways of expressing the same thing. Use fractions, decimals and percentages to order and compare amounts or quantities and to solve practical problems14Completion of project involving Fraction, decimal and percentages Complete problem solving paper / mini project covering work completed during second half termFormative assessment of students work Directed questioning Learners to complete mini project (e.g. finding the most competitive prices to re-decorate a spare room into an office) Set homework according to test resultsMini project Carry out calculations with numbers of any size in practical contexts Understand and use equivalencies between fractions, decimals and percentages ECM5  XMAS BREAK Week/ SessionContentLearning Objectives: students will be able toAssessment of LearningTeaching and Learning ActivitiesResourcesFunctional Skills Standards (including ECM theme)15Recap of Fractions, decimals and percentages Feedback of first terms topicsApply fraction, decimal and percentage in problem solving situations Review autumn term progress sheet and complete targets for spring termChecking/marking of worksheet Directed questioning Worksheets Problem solving with fractions, decimals and percentages. Feedback with tutor evaluate students progress with regard to their learning and their personal development Worksheets Calculator Progress Record FormAdd and subtract using halves, thirds, quarters, fifths and tenths. Add, subtract, multiply and divide decimals up to three places and check answers 16Metric & Imperial measurement Categorise metric and imperial units of length, distance, weight, capacity Read scales to different levels of accuracy, including reading between marked divisions Observation of activity Observation of measuring tasks to varying degree of accuracy with the appropriate instrument. Discuss the appropriate units of measure for length, distance, weight, capacity, and the use of metric and imperial units Activity estimate, measure and record length and weights and capacities of items Paired activity read both metric and imperial amounts for lengths weights and capacities.Whiteboard Quiz questions Worksheets Measuring tape Bathroom and kitchen scales Flip charts Smartboard Calculate, measure and record dates and times in different formats and know the relationship between units of time, for example second, minute, hour, day, week, month and year. 17Conversion of metric and imperial units Calculate with units of measure within the same system Use a measuring instrument accurately Convert metric units to imperial units and vice versa  Observation of activity. Q&A. Observation of measuring activity Checking/marking the progress/completed worksheet Discussion metric and imperial units Work out the best value of products of different weights or capacities. Board work How to convert between different units (review x & by 10, 100 and 1000) Worksheets Converting between different units Activity match metric and imperial amounts with different units (smartboard)Whiteboard Worksheets Liquids and containers Smartboard Calculate with units of measure between systems, using conversion tables and scales, and know how to use approximate conversion factors Estimate, measure and compare length, distance, weight, capacity and temperature, including reading Celsius and Fahrenheit scales and conversion tables.18Area and perimeter of composite shapes Use given formulae to find areas of composite shapes (e.g. non-rectangular rooms or plots of land) Break down a composite shape into regular shapes Observation of activity. Q&A. Checking/marking the progress/completed worksheet Discussion finding the perimeter of composite shapes, such as rooms, which are not drawn to scale and do not have all the measurements included, and devise ways of finding the lengths of all the edges Activity Calculate the wall area for painting, excluding doors and windows. Use plans drawn on plain paper to find the areas of composite shapes. Calculate any missing dimensions, and use a formula to find the area of each componentWhiteboard Worksheets Matching cards Measuring instruments SmartboardKnow what is meant by perimeter, circumference, diameter and radius. Understand and use given formulae for finding perimeters and areas of common and composite shapes, circumference and area of circular surfaces19Scale Drawing Draw an accurate scale plan of a room using a scale expressed as a ratio Accurately work out distances from the scale on a map.Observation of activity Successful completion of task. Q&ADiscuss scales and how they are used. Work from several examples such as If the scale is 1:100 on a plan, what would a centimetre represent? What would 10 cm represent? Activity Produce simple plans and scale drawings, with different scales, and work out actual measurements, e.g. house plans, room plans, templates for making something, etc. Use different scales, e.g. 1:20, 1:10, and 1:50. Tracing paper Whiteboard Internet Smartborad Work out dimensions from scale drawings. Estimate amounts using proportions, for example the length of the room is about three times its width, the stockroom is about two-thirds full. 20Measurements and scale drawingsMeasure a room and present the dimensions in form of scale drawing. Calculate the area and perimeter of the room. Observation of set task. Check marked work.Learners to the mini project on scale drawing using appropriate scale. Set homework Measuring tape Rulers Whiteboard Know that measurements must be in the same units when calculating perimeters, areas or volumes. Understand the symbol for pi and know its approximate value Understand and use given formulae for finding volumes of common shapes HALF TERM Week/ SessionContentLearning Objectives: students will be able toAssessment of LearningTeaching and Learning ActivitiesResourcesFunctional Skills Standards (including ECM theme)212D and 3D shapes Use common 2D representations of 3-D objects Solve problems involving 2-D shapes and parallel lines Feedback to learner Observation of activity Checking/marking the progress/completed worksheet Investigate and describe different representations of 3-D objects in 2-D, e.g. nets of solids, plans, elevations. Discuss practical examples of using parallel lines, e.g. hanging wallpaper, laying tiles or paving stones. Activity - Use the properties of parallel lines to solve everyday problems, e.g. finding the amount of coving needed to go round a ceiling by using the corresponding floor measurements.2-D and 3-D objects Drawing papers Internet WhiteboardRecognise and use common 2D representations of 3D objects, for example in maps and plans. Solve problems involving 2D shapes and parallel lines, for example laying carpet tiles 22Extracting Data Extract and interpret information from lists, tables, charts and graphs Observation of activity. Q&ADiscuss the difference between continuous and discrete data. A useful example is that the size of shoe someone wears is discrete, but the length of their foot is continuous. Board work Look at the use of different scales and their effect on the graph. Comment on trends from the slope of the graph. Activity HYPERLINK "http://www.mathszone.co.uk"Online game, Extract information from tables in catalogues, brochures, web sites. Whiteboard Holiday brochure Graph paper Smartboard Internet Know how to extract discrete and continuous data from tables, spreadsheets, bar charts, pie charts and line graphs with more than one line. 23Organising and representing data.Measure the height of everyone in the class and present information as a chart / graph. Collect and record data from exchange rates or a particular share issue over a period of time. Display the data on a chart or graphCheck correct information included on chart Observation of activity and correct completion of chart or graph Discussion - Use given sets of data and discuss the most suitable form of representation. Activity Measure and record classmates height; present the data in a suitable form. Worksheets Plot a graph showing exchange rates over a period.Whiteboard Internet Tape rule Draw conclusions from scatter diagrams, understanding that correlation does not imply causality. Understand how to use scales in diagrams, charts and graphs 24Present findings in a suitable way Present outcome of investigation using a pie chart and bar chart. Check correct information included on chart Observation of activity Correct completion of chartActivity investigate the menu offered in the canteen on Tuesday and find out the most and least popular. Present findings using pie chart.Canteen Menu Graph paperKnow how to extract discrete and continuous data from tables, spreadsheets, bar charts, pie charts and line graphs with more than one line. 25Collecting and presenting data Carry out an investigation and present the outcome in a suitable form Check result of investigation. Directed questioning Activity collecting and presenting data e.g. Investigate the most popular music genre in the college to prepare for the end of year performance. Graph papers Whiteboard Computers Excel to produce charts and graphsKnow how to choose a suitable format and scale to fit the data and ensure all charts, graphs and diagrams are labelled. ECM326 Averages & range Calculate mean, median and mode. Discuss the distinctions that each average is useful for different purposes. Find the range and use it to describe the spread within sets of data Observation of activity Listen to discussion points Peer checking feedback to learners Discuss the use of mean, median and mode. Discussion - the use of range in everyday language, e.g. price range, age range Q&A extracting information from different sources Activity Compare the distribution of pay scales in two organisations. Paired Activity Collect data of interest and compare the range, e.g. local house prices in different areaWhiteboard Worksheets Charts, tables and graphs Quiz questions Squared paper Find the mean, median and mode and understand that each average is useful for different purposes. Use the range to describe the spread within a set of data, for example sales results. Use the average and range to compare two sets of data 27Recap of data handling Feedback to students Complete the revision questions on last terms topics Review spring term progress sheet and complete targets for summer termChecking/marking of worksheet Worksheets Problem solving with data handling Feedback with tutor evaluate students progress with regard to their learning and their personal development Worksheets Calculator Progress Record FormCollect and represent discrete and continuous data, using ICT where appropriate ECM3  EASTER BREAK Week/ SessionContentLearning Objectives: students will be able toAssessment of LearningTeaching and Learning ActivitiesResourcesFunctional Skills Standards (including ECM theme)28ProbabilityAccurately record the range of possible outcomes of combined events in tree diagrams or in tables. Checking/marking the progress/completed worksheet Discuss the possible outcomes of an event using simple examples such as tossing a coin, picking a single playing card from a pack, throwing a die, the possible gender of a baby, the outcome of a football match for one team Activity Identify the possible outcomes of the gender of twinsSmartboard Quiz questions Worksheets Square Paper Smartboard Understand that probability is an expression of likelihood and can be written as a fraction, decimal or percentage. Identify the range of possible outcomes of combined events and record the information in tree diagrams or tables. 29Practice testComplete practice FS assessments Check answers on practice test.Completing the questions and activities on FS assessment Assignments Calculators Protractors Pen / Paper Graph paperUse and interpret discrete and continuous data, using ICT where appropriate, statistical measures, tables and diagrams Use statistical methods to investigate situations ECM 330FeedbackFeedback on practice paper both as a class and individualsQ & ADiscussion Direct questioningAssignments Calculators Protractors Pen / Paper Graph paper 31 Summative assessmentStart functional skills assessments Mark work completedCompleting the questions and activities on FS assessment Assignments Calculators Protractors Pen / Paper Graph paper32Summative assessmentContinue / complete functional skills assessment Mark work completedCompleting the questions and activities on FS assessment Assignments Calculators Protractors Pen / Paper Graph paperECM 333Summative assessmentContinue / complete functional skills assignment Mark work completedCompleting the questions and activities on FS assessment Assignments Calculators Protractors Pen / Paper Graph paperECM 333Introduce Project 1-Planning a HolidayDiscus the appropriate research method and resources required to complete the task. Work as a group to determine the things that should be considered when going on holiday.Gather as much information as possible from internet, brochures and flyersproject Calculators Protractors Pen Ruler Graph PaperECM 3 & 534Presentation of Research findings and group feedback Present findings of their research using appropriate charts and diagramsQ&A. Observation of taskPresent their research findings to the whole class Explain the rationale behind their choice of holiday destination Discuss issues encountered and receive feedback from peersProject Feedback sheets ComputersECM 3 & 535Introduce Project 2-Financial management Present personal monthly budget plan to the groupObservation of presentation Q&ADiscuss ways of managing spending Calculate monthly budget Present their research findings to the whole class Explain the rationale behind their spending Discuss problem encountered and receive feedback from peersProject Feedback sheets ComputersECM 3 & 536Whole Class Evaluation and Review ProgressReview individual students progress sheetsQ&AWhole class evaluation of tasks Discuss progression opportunities for the next academic year Progress sheets QuestionnaireECM 3 & 5  PAGE  PAGE 17 9:IJ^de  _ h e f (vۻۻۦۦۻp^pp^pp^p^p^#hWhW6CJOJQJ^JaJ hWhWCJOJQJ^JaJhWhWCJOJQJaJ#hWhW5CJOJQJ^JaJhW(h+?ZhWCJOJQJ^JaJmH sH #h+?ZhW5CJOJQJ^JaJhWCJOJQJ^JaJ h+?ZhWCJOJQJ^JaJ&h+?ZhW5>*CJOJQJ^JaJ$JK^_fh< f g $$Ifa$gdW`gdW & Fd7$8$H$gdWx^xgdW 7$8$H$gdWgdWi}00  3 J k u    + , - .  & F L$If^`gdW $IfgdE $$Ifa$gdEFf$$If^a$gdW $$Ifa$gdW $IfgdE & F L$If^`gdW % $$Ifa$gdEkd$$Ifl֞r+>(.@;/    t0x?44 la4 . 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