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Functional Maths revision

Functional Maths revision. September 2012. Kindly contributed by Joaquin Llorente, Trafford College. Search for Joaquin on www.skillsworkshop.org Visit the download page for this resource to find detailed teaching notes, curriculum links and related resources. Curriculum links

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Functional Maths revision

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  1. Functional Maths revision September 2012. Kindly contributed by Joaquin Llorente, Trafford College. Search for Joaquin on www.skillsworkshop.org Visit the download page for this resource to find detailed teaching notes, curriculum links and related resources. Curriculum links Covers many aspects of Level 1 and Level 2 Functional Mathematics and Adult Numeracy. References: Excellence Gateway (2009), Skills for Life, Core Curriculum http://www.excellencegateway.org.uk/sflcurriculum Ofqual (2009), Functional Skills criteria for English, Mathematics and ICT http://www.ofqual.gov.uk/qualification-and-assessment-framework/89-articles/238-functional-skills-criteria

  2. Choose an option Averages & Range Ratio, Scale &Proportion Fractions & Percentages Units of Measure Perimeter, Area & Volume Coming soon:Tables Coming soon: Time & Money Charts and Graphs Coming soon:Formula

  3. Averages & Range Return

  4. Ratio, Scale & Proportion Return

  5. Units of Measure Return

  6. Charts Return

  7. Median and mode • MOde is the MOst common value • - there may be more than one mode • - or no mode at all • MEDian is the MIDdle value, • but remember to put them in order first Return

  8. Mean • The other averages are easy to work out; this one is a “mean” sum ... • Add them all together and divide by how many there are Return

  9. Range Range = highest - lowest 30 20 10 Difference between the highest and the lowest values Return

  10. Ratio in everyday life • Mixing cordial and water • Baking • Mixing hair dyes and peroxide • Making cocktails • Mixing paint colours Continue

  11. Ratio – Key Facts Written as a sequence of two or more whole numbers separated by a colon juice : water 1 : 4 (Read as 1 to 4) To make a Victoria sponge you will need butter, sugar and flour in the ratio butter : sugar : flour 1 : 1 : 1 Continue

  12. Ratio – Key Facts The order is important juice : water 1 : 4 means 1 part of juice is mixed with 4 parts of water juice : water 4 : 1 means 4 parts of juice are mixed with 1 part of water Continue

  13. Ratio – Key Facts Mix juice and water in a 1:4 ratio to make a drink juice : water 1 : 4 1 part of juice is mixed with 4 parts of water to make5 parts of drink 1 litre of juice will make 5 litres of drink 1 cup of juice will make 5 cups of drink Continue

  14. Ratio – Key Facts • Sometimes, ratioscan be simplified • 2 : 6 • is the same as • 1 : 3 • 6 : 3 : 9 • is the same as • 2 : 1 : 3 ÷ 2 ÷ 3 Continue

  15. 4 1 5 5 Ratio – Key Facts Can be converted into fractions juice : water 1 : 4 1 part of juice is mixed with 4 parts of water to make5 parts of drink 1 out of 5 parts of the drink is juice 4 out of 5 parts of the drink are water Return

  16. Scales in everyday life • Model toys • Prototypes / simulations • Maps / Sat-navs • Floor plans Continue

  17. Scale – Key Facts Usually written as a ratio model size : real size 1 : 75 plan size : real size 1 : 200 INTERPRETATION In real size, everything is 75 times bigger than in the model INTERPRETATION In real size, everything is 200 times bigger than in the plan Continue

  18. Scale – Key Facts Sometimes it includes units of measure to make it easier to read Scale1 cm : 10 km …is the same, but easier to use than Scale1 : 1,000,000 Return

  19. Proportion in everyday life • 1 litre of paint covers 10 m2 • 12 m of wall paper cost £8 • the minimum pay rate for an apprentice is £2.60 per hour Continue

  20. Proportion problems 1 litre of paint covers 10 m2 How many m2 can I cover with 4 litres? 30 m2 40 m2 20 m2 10 m2 0 0 3 l 2 l 1 l 4 l 1 l covers 10 m2 4 l cover 4 x 10 = 40 m2 Continue

  21. Proportion problems 1 litre of paint covers 15 m2 How many litres of paint do I need to cover a surface of 75 m2 15 m2 0 75 m2 0 ? 1 l To cover 15 m2 I need 1 litre of paint To cover 75 m2 I will need 75 ÷ 15 = 5 l Return

  22. Tables Return

  23. “Normal price £27Special discount: 1/3 off” “Manager’s Special: 30% off” • “Out of 250 people, 2/3 chose chocolate cake for their dessert” • 90% of students lose marks in the exams because they don’t read the questions properly Fractions and percentages • Most Level 1 and Level 2 tests include a question where you need to work out the value of a fraction or a percentage Continue

  24. Fractions and percentages So, how do you work out the value of a fraction or a percentage with a calculator? Fractions Percentages

  25. Fractions 3 3 2 2 of of 271 271 of of 75 75 5 5 7 7 ÷ x ÷ x Continue

  26. Fractions – Checkpoint Use a calculator to work out the value of these fractions: Return Percentages

  27. Percentages 41 41 % % of of 98 98 27 27 % % of of 126 126 ÷ 100 x ÷ 100 x Continue

  28. Percentages – Checkpoint Use a calculator to work out the value of these percentages: 15 % of 75 14 % of 456 32 % of 150 7 % of 55 5 % of 17 12.5 % of 90 1.3 % of 98 37 % of 25 Return Fractions

  29. Charts • Most charts and graphs are worth 3 marks • These are awarded for: Linear scale Clear labelling Plot accuracy Return

  30. 40 30 20 10 5 0 Charts – Linear Scale   Return

  31. Charts - Labelling Continue

  32. Charts - Labelling   Return

  33. Chart – Plot accuracy • The bars are the correct height • All the bars are the same width Return

  34. Bar Charts Show patterns in data Continue

  35. Bar Charts Show patterns in data • Sales in the West region were unusually high in Q3 • Otherwise, sales were flat in each region throughout the year Return

  36. Pie Charts Show proportions Return

  37. Pie Charts Show proportions More than half of the sales were made in the 3rd Quarter Sales in Q1, Q2 and Q4 were similar Return

  38. Pie Charts Show proportions • The North region made the most sales (almost 50%) • The East region made the least number of sales (just under ¼) Return

  39. Line Graphs Return

  40. Line Graphs Can be used to show how something changes over time Return

  41. Line Graphs • Can be used to convert between • currencies (£ and €) • units (oC and oF; km and miles…) Continue

  42. Line Graphs Convert €8 into £ € 8 = £ 6.50 Return

  43. Perimeter, Area & Volume A P V Return

  44. Perimeter d1 Is the distance around the outside of a 2-D shape d4 P = + + + d2 d3 Continue

  45. Perimeter It is measured in units of distance: m, cm, inches… For any 2-D shape, the perimeter can be calculated by adding up the length of all its sides 5cm 5cm P = + + 3cm 3cm 4cm 4cm P = 12cm Continue

  46. Perimeter - Checkpoint Work out the perimeter of these shapes 5 cm 5 cm 2 cm P1 2 cm 4 cm 4 cm P2 2 cm 3 cm 2 cm 8 cm 5 cm 1 cm P3 2.5 cm 2 cm 3 cm 4 cm 2.5 cm 3 cm Return

  47. Area A = 8 m2 Is the amount of space inside a 2-D shape 1m A square metre (m2) is the area ofa 1m by 1m square 1m Continue

  48. Area 1m 1m2 1m W = 3m A = L x W A = 18 m2 A = 6m x 3m 1m2 L = 6m The length of the rectangle is 6m;we can fit 6 tiles of 1m2 in a row The width of the rectangle is 3m;we can fit 3 rows of 6 tiles The area of a rectangle can be calculated as the length times the width Continue

  49. Area of common shapes A = L x W W L r h A = b x h ÷ 2 b A =  x r2 ( = 3.14) Return

  50. Volume Is the amount of space contained within a 3-D shape Is measured in cubic units Continue

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