Functional Skills – Level 1 Maths Theme Park Project Objectives Convert between units of time Use compound measures Use 3 figure bearings Calculate with fractions and percentages Calculate mean and range October 2019. Kindly contributed by Marc Stewart, Peterborough Regional College. Search for Marc on www.skillsworkshop.org This resource includes and combines resources from many excellent free websites. Please refer to the author’s acknowledgements and sources on page 104. If you own any of the listed websites and are unhappy about the inclusion of your work, or would like links/acknowledgments added to specific pages please contact Maggie via www.skillworkshop.org THANK YOU Oct 2019. L1 Functional Maths. Kindly contributed by Marc Stewart, Peterborough Regional College. Search for Marc on www.skillsworkshop.org For related resources visit the download page for this resource at skillsworkshop. Introduction: page 1 L1 Functional Maths – Theme Park Project Curriculum mapping Subject content – Reformed FUNCTIONAL SKILLS MATHEMATICS (effective from Sept 2019) indicates main content and problem-solving skill(s) covered in this resource, although these will vary with the student group and how the resource is used by the teacher. or ← = not covered but included to show progression across levels (content at each level subsumes and builds upon the content at lower levels). Full content at: DfE (Feb 2018) https://www.gov.uk/government/publications/functional-skills-subject-content-mathematics 1. Fundamental mathematical knowledge and skills These must be demonstrated in their own right, both with and without a calculator, in addition to being used to solve problems or complete tasks. Entry Level 3 Level 1 Level 2 Using numbers and the number system (N) E3.1 Count, read, write, order and L1.1 Read, write, order and compare L L2.1 Read, write, order and compare compare numbers up to 1000 large numbers (up to one million) p12- positive and negative numbers of any E3.2 Add and subtract using three-digit 14, 19, 44 size p18 whole numbers p24 L1.2 Recognise and use positive and L2.2 Carry out calculations with numbers E3.3 Divide three-digit whole numbers by negative numbers pp15-16, 18 up to one million including strategies to single and double digit whole numbers L1.3 Multiply and divide whole numbers check answers including estimation and and express remainders p24 and decimals by 10, 100, 1000 p21-22 approximation p18 E3.4 Multiply two-digit whole numbers L1.4 Use multiplication facts and make L2.3 Evaluate expressions and make by single and double digit whole connections with division facts substitutions in given formulae in words numbers L1.5 Use simple formulae expressed in and symbols p25-29, 33, 40 E3.5 Approximate by rounding numbers words for one or two-step operations L2.4 Identify and know the equivalence less than 1000 to the nearest 10 or 100 p25 between fractions, decimals and and use this rounded answer to check L1.6 Calculate the squares of one-digit percentages p37, 58 results and two-digit numbers p31-33, 40 L2.5 Work out percentages of amounts E3.6 Recognise and continue linear L1.7 Follow the order of precedence of and express one amount as a percentage sequences of numbers up to 100 p17 operators p25, 28-29 of another ← p22 L1.8 Read, write, order and compare L2.6 Calculate percentage change (any E3.7 Read, write and understand thirds, common fractions and mixed numbers size increase and decrease), and original quarters, fifths and tenths including p34, 36, 38, 42, 57 value after percentage change p52, equivalent forms p34-35, 42, 84 1.9 Find fractions of whole number 54, 59 E3.8 Read, write and use decimals up to quantities or measurements p39, 48 L2.7 Order, add, subtract and compare two decimal places p43, 45 L1.10 Read, write, order and compare amounts or quantities using proper and E3.9 Recognise and continue sequences decimals up to three decimal places improper fractions and mixed numbers that involve decimals p43-45 p37 L1.11 Add, subtract, multiply and divide L2.8 Express one number as a fraction of decimals up to 2 decimal places p46 another p48 L1.12 Approximate by rounding to a L2.9 Order, approximate and compare whole number or to one or two decimal decimals places p47 L2.10 Add, subtract, multiply and divide L1.13 Read, write, order and compare decimals up to three decimal places ← percentages in whole numbers p50-51 L2.11 Understand and calculate using 1.14 Calculate percentages of quantities, ratios, direct proportion and inverse including simple percentage increases / proportion p65-66 decreases by 5% and multiples thereof L2.12 Follow the order of precedence of p52-53, 56, 59 operators, including indices ← L1.15 Estimate answers to calculations using fractions and decimals Not covered/required in Functional L1.16 Recognise and calculate Skills Maths but useful for progression equivalences between common to GCSE. P23 (primes & prime factors) fractions, percentages and decimals pp35-37, 58, 64 L1.17 Work with simple ratio and direct proportions p61-66 Oct 2019. L1 Functional Maths. Kindly contributed by Marc Stewart, Peterborough Regional College. Search for Marc on www.skillsworkshop.org For related resources visit the download page for this resource at skillsworkshop. Introduction: page 2 L1 Functional Maths – Theme Park Project Curriculum mapping 1. Fundamental mathematical knowledge and skills These must be demonstrated in their own right, both with and without a calculator, in addition to being used to solve problems or complete tasks. Entry Level 3 Level 1 Level 2 Using common measures, shape and space (MSS) E3.10 Calculate with money using L1.18 Calculate simple interest in L2.13 Calculate amounts of money, decimal notation & express money multiples of 5% on amounts of money compound interest, percentage increases, correctly in writing in pounds and pence p59 decreases and discounts including tax and L1.19 Calculate discounts in multiples simple budgeting p68 E3.11 Round amounts of money to the of 5% on amounts of money p68 L2.14 Convert between metric and imperial nearest £1 or 10p L1.20 Convert between units of length, units of length, weight and capacity using a E3.12 Read, measure and record time weight, capacity, money and time, in a) conversion factor and b) conversion using am and pm the same system p69-70, 72, 74, 101 graph E3.13 Read time from analogue and 24 L1.21 Recognise and make use of L2.15 Calculate using compound measures hour digital clocks in hours and minutes simple scales on maps and drawings including speed, density and rates of pay p77 p72 E3.14 Use and compare measures of L1.22 Calculate area and perimeter of L2.16 Calculate perimeters and areas of 2- length, capacity, weight and temperature simple shapes including those that are D shapes including triangles and circles and using metric or imperial units to the made up of a combination of composite shapes including non- nearest labelled or unlabelled division rectangles p27, 69-70, 80 rectangular shapes (formulae given except E3.15 Compare metric measures of L1.23 Calculate the volumes of cubes for triangles and circles) p27 length including millimetres, and cuboids p69-70,81 L2.17 Use formulae to find volumes and centimetres, metres and kilometres L1.24 Draw 2-D shapes and surface areas of 3-D shapes including E3.16 Compare measures of weight demonstrate an understanding of line cylinders (formulae to be given for 3-D including grams and kilograms symmetry & knowledge of the relative shapes other than cylinders) E3.17 Compare measures of capacity size of angles p71, 82-83 L2.18 Calculate actual dimensions from including millilitres and litres L1.25 Interpret plans, elevations and scale drawings and create a scale diagram E3.18 Use a suitable instrument to nets of simple 3-D shapes p76-77, 86 given actual measurements p75 measure mass and length L1.26 Use angles when describing L2.19 Use coordinates in 2-D, positive & E3.19 Sort 2-D and 3-D shapes using position and direction, and measure negative, to specify the positions of points properties including lines of symmetry, angles in degrees p76, 88-89 L2.20 Understand and use common 2-D length, right angles, angles including in representations of 3-D objects rectangles and triangles L2.21 Draw 3-D shapes to include plans and E3.20 Use appropriate positional elevations p85, 87 vocabulary to describe position and L2.22 Calculate values of angles and/or direction inc. eight compass points and coordinates with 2-D and 3-D shapes including full/half/quarter turns 1. Fundamental mathematical knowledge and skills These must be demonstrated in their own right, both with and without a calculator, in addition to being used to solve problems or complete tasks. Entry Level 3 Level 1 Level 2 Handling information and data (HD) E3.21 Extract information from lists, L1.27 Represent discrete data in tables, L2.23 Calculate the median and mode of a tables, diagrams and charts and create diagrams and charts including pie set of quantities frequency tables p91-94, 96, 101 charts, bar charts and line graphs L2.24 Estimate the mean of a grouped E3.22 Interpret information, to make p48, 95 frequency distribution from discrete data comparisons and record changes, from L1.28 Group discrete data and L2.25 Use the mean, median, mode and different formats including bar charts represent grouped data graphically range to compare two sets of data and simple line graphs L1.29 Find the mean and range of a set L2.26 Work out the probability of E3.23 Organise and represent of quantities p98 combined events including the use of information in appropriate ways L1.30 Understand probability on a diagrams and tables, including two-way including tables, diagrams, simple line scale from 0 (impossible) to 1 (certain) tables p100 graphs and bar charts and use probabilities to compare the L2.27 Express probabilities as fractions, likelihood of events p99 decimals and percentages p99 L1.31 Use equally likely outcomes to L2.28 Draw and interpret scatter diagrams find the probabilities of simple events and recognise positive and negative and express them as fractions p99 correlation Oct 2019.