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Which ones are you using?

Creative Entrepreneur. Independent Learner. Reflective Learner. Responsible Citizen. Team Worker. Positive Thinker. Real life cross/curricular links?. Where are we in our journey?. Which ones are you using?. Enterprise Skills. LESSON OBJECTIVES. Always aim high!. We are learning to:

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Which ones are you using?

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  1. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: • Enhance our Mathematical learning skills. (Which Enterprise skills?) • Accurately construct and interpret pie charts. (Levels 5-6) AUTHOR www.mistrymaths.co.uk

  2. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker LEARNING JOURNEY Enterprise Skills Which ones are you using?

  3. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker BRAIN IN GEAR Enterprise Skills Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Sector Segment Circumference EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

  4. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Work out the averages and range for: 3, 3, 5, 7, 7 1) Solve the equation: 9𝑥 + 7 = 2𝑥 + 49 No mode Mode = - 2𝑥 - 2𝑥 5 Median = 7 7𝑥 49 = + Mean = = 5 - 7 - 7 7𝑥 = 42 Range = 7 - 3 = 4 ÷ 7 ÷ 7 2) 2 Work out the value of b – 4ac when a=2, b=4, c=-3 𝑥 6 = – 4 = 40 2 x x 2 4 - 3 + 24 = 16 3) Reflect the object in the line y = 1 3 + 3 + 5 + 7 + 7 5 x x x

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING INTRODUCTORY TASK 1) Write down the fraction shaded below: 22.5° 45° 120° 240° 270° 90° 180° 2) Write down the percentage shaded below: . . 50% 25% 75% 33.3% 66.6% 12.5% 6.25% INTRODUCTORY EXTENSION 1) Work out the following: x x x x x x x of of of of (a) of (c) (d) (e) (f) 18 28 33 15 of 56 of (b) 20 (g) 60 1 2 1 3 1 1 1 = 10 = 5 = 21 = 11 = 5 = 9 = 7 16 4 4 3 8 2 3 2) Work out the following: 10% = 4 (d) (e) 60% of 90 (c) 30% of 60 35% of 40 (a) (b) 10% of 70 20% of 80 ÷2 ÷2 5% = 2 10% = 6 10% = 9 10% = 4 10% = 8 10% = 7 x3 x6 x3 x3 x6 x3 x2 x2 30% = 60% = 30% = 18 54 12 20% = 16 35% = 14

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 1 (LEVEL 5) – CARD SORT Match each statement to it’s correct pie chart below: 60 people 60 people 60 people Sector for orange is 90° Three-quarters of the class chose green 25% of the class chose red The section for blue shows 8 people. The whole class had 32 people Half the class chose blue

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 2 (LEVEL 5) – CARD SORT Match each statement to it’s correct pie chart:

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 2 (LEVEL 5) – CARD SORT Match each statement to it’s correct pie chart:

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 2 (LEVEL 5) – CARD SORT ANSWERS Match each statement to it’s correct pie chart below:

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO Draw a 3 x 3 grid as shown below: Place any nine numbers below into the grid (repeats forbidden) 6 63 50 0 42 23 9 7 5 13 11 44 27 44 16 21

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 18 people. How many chose purple? 9

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 50 people. How many chose purple? 50

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 42 people. How many chose pink? 0

  14. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 20 people. How many chose green? 5

  15. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 46 people. How many chose purple? 23

  16. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 39 people. How many chose red? 13

  17. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 28 people. How many chose yellow? 7

  18. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 22 people. How many chose grey? 11

  19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 36 people. How many chose red? 12

  20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 48 people. How many chose black? 6

  21. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 56 people. How many chose black? 21

  22. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO The pie chart represents 72 people. How many chose black? 63

  23. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO How many people are represented by the pie chart? 27 9 people 9 people 9 people

  24. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO How many people are represented by the pie chart? 42 21 people 21 people

  25. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO How many people are represented by the pie chart? 44 11 people 11 people 11 people 11 people

  26. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 3 (LEVEL 5) – BINGO How many people are represented by the pie chart? 2 people 16 2 people 2 people 2 people 2 people 2 people 2 people 2 people

  27. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING EXAMPLE 1 30 cars 30 cars 1) What is the mode car colour? Black Other 2) Which colour is represented by the orange sector of the pie chart? 3) What fraction of cars were black? 25% = 4) What percentage were either silver or blue? 60 cars 5) 30 cars were black, how many were surveyed altogether? 30 + 30 =

  28. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 4 (LEVEL 5) 60 people 60 people 60 people Rugby 1) What is the least popular sport? 2) Which sport does the purple sector represent? Golf 3) What fraction of people chose football as their favourite sport? 4) List the sports from least popular to most popular. Rugby, Cricket, Golf, Boxing, Athletics, Football 5) 60 people chose football, how many were asked altogether? 180 people 60 + 60 + 60 =

  29. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 4 EXTENSION (LEVEL 5) 160 people 240 people 240 people 80° 120° 60° 120 people 50° 30° 20° 240 people 100 people 40 people 60 people Estimate the number who chose each sport given the information above Total pie = 240 + 240 + 240 = 720 people 120° = 240 people ÷ 120 ÷ 120 1° 2 people =

  30. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING EXAMPLE 2 The pie chart shows the types of housing on a new estate. Altogether there were 540 new houses built. 90° 110° There are 360° in a full pie How many are: x x x x (c) Bungalows (b) Semi-Detached? (d) Terraced? (a) Detached? 110 90 120 40 of of 540 of 540 of 540 540 360 360 360 360 = 165 = 135 = 180 = 60

  31. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 5 (LEVEL 5) 2) One weekend in Bedale, a café sold 300 drinks. The pie chart illustrates the different drinks that were sold. 1) 900 pupils were asked to vote for their favourite subject. The pie chart shows their responses. How many of the following drinks were sold that weekend: (a) Soft drinks? (b) Tea? (c) Hot chocolate? (d) Coffee? How many voted for: (a) PE? (b) Science (c) Maths?

  32. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 5 (LEVEL 5) 4) The pie chart shows the results for 240 tickets a train inspector saw in the morning. 3) The pie chart illustrates how 450kg of butter sold at a supermarket one week were sold on different days. • How many kilograms of butter were sold on each day of the week? • (a) Monday (b) Tuesday (c) Wednesday • (d) Thursday (e) Friday (f) Saturday How many of the following tickets did he see that morning: (a) Open return? (b) Season ticket? (c) Day return? (d) Travel pass?

  33. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING EXAMPLE 3 The pie chart below shows the percentage composition of the human body. For a person weighing 50kg what is their composition of : (c) Other dry elements? (b) Proteins? (a) Water? 16% of 14% of 70% of 50kg 50kg 50kg 1% = 0.5 1% = 0.5 10% = 5 x16 x16 x14 x7 x14 x7 16% = 8 14% = 70% = 7 35 8kg 7kg 35kg

  34. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 5 (LEVEL 5) 2) The pie chart shows the distribution of overseas tourist traffic from India in one year. 1) The pie chart shows the various expenditure in publishing a book. • A book costs £1400 to publish. How much does the following cost according to the pie chart: • (a) Promotion? (b) Printing (c) Paper • (d) Binding (e) Royalty • If the tourist traffic from India is 20million, how many visit: • (a) UK? (b) Others • (c) Japan (d) USA

  35. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? PIE CHARTS INTERPRETING TASK 5 (LEVEL 5) 3) The pie chart shows the New York share by value of different companies in 2005 • The number of units sold in New York in 2005 was 1500 units. How many of these were: • (a) HP? (b) Texas? (c) Apple? • (d) Others? (e) IBM? 5% = 70

  36. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS EXAMPLE 4 In a survey, people were asked to indicate which one of the pies they liked the best. The information is given in the table. Display the information in a pie chart. 90° + 72° + PORK APPLE 66° + . 108° + BANOFFEE 24° 360° 60 TOTAL = CHOCOLATE 360° in a full turn

  37. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 6 (LEVEL 6) 1) In a survey, people were asked to indicate which one of the subjects they liked the best. The information is given in the table. Display the information in a pie chart. 120° + 70° + MATHS 80° + ENGLISH . 40° + 50° OTHER 360° 36 TOTAL = SCIENCE LANGUAGES 360° in a full turn

  38. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 6 (LEVEL 6) 2) In a survey, people were asked to indicate their favourite pet. The information is given in the table. Display the information in a pie chart. 110° + 120° + CAT 80° + . 30° + DOG 20° RABBIT 360° 36 TOTAL = HAMSTER FISH 360° in a full turn

  39. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 6 (LEVEL 6) 3) In a survey, people were asked to indicate their favourite food. The information is given in the table. Display the information in a pie chart. 99° + 72° + CEREAL TOAST 54° + . 81° + 54° FRUIT OTHER 360° 40 TOTAL = COOKED 360° in a full turn

  40. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 6 (LEVEL 6) 4) The table below shows the number of goals scored by an ice hockey team. Display the information in a pie chart. 45° + 1 75° + 105° + 0 . 75° 2 + 60° 4 or more 360° 24 TOTAL = 3 360° in a full turn

  41. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS EXAMPLE 5 In a survey, people were asked to indicate which ice cream their liked the best. The information is given in the table. Display the information in a pie chart. 14 MINT 63° = of 360 80 9 40.5° = of 360 CHOCOLATE 80 VANILLA 21 94.5° = of 360 . 80 19 85.5° = of 360 80 ORANGE 17 76.5° = of 360 80 80 360° TOTAL = STRAWBERRY 360° in a full turn

  42. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 7 (LEVEL 6) 1) The table shows the record of traffic travelling down a road in Cleckheaton. Display the information in a pie chart. Leave until end 140 187° = of 360 270 70 93° = of 360 VANS MOTORBIKES 270 55 73° = of 360 . 270 BUSES 5 7° = of 360 270 270 360° TOTAL = CARS 360° in a full turn

  43. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 7 (LEVEL 6) 2) In a survey, people were asked to name their favourite food. This is shown in the table below. Display the information in a pie chart. 22 82.5° = of 360 96 46 172.5° = of 360 BEEF 96 18 67.5° = of 360 . 96 CHICKEN 10 37.5° = of 360 96 HORSE 96 360° TOTAL = PORK 360° in a full turn

  44. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 7 (LEVEL 6) 3) In a survey, people were asked to name their favourite music. This is shown in the table below. Display the information in a pie chart. 40 144° = of 360 100 POP 14 50.4° = of 360 100 6 21.6° = of 360 . 100 ROCK & ROLL 2 7.2° = of 360 100 HEAVY METAL 38 136.8° = of 360 CLASSICAL 100 R & B 100 360° TOTAL = 360° in a full turn

  45. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS TASK 7 (LEVEL 6) 4) In a survey, people were asked to name their favourite make of TV. This is shown in the table below. Display the information in a pie chart. 89 106.8° = of 360 300 56 67.2° = of 360 SAMSUNG SONY 300 53 63.6° = of 360 . 300 78 93.6° = of 360 300 TOSHIBA LG 24 28.8° = of 360 300 300 360° PANASONIC TOTAL = 360° in a full turn

  46. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Positive Thinker • LINK BACK TO OBJECTIVES • Accurately construct and interpret pie charts. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  47. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS PLENARY ACTIVITY 1 – EXAM QUESTION (CALCULATOR) Recycling A teacher asked her pupils if they recycled newspapers and glass. The pie chart shows the results. 5 pupils answered ‘Neither.’ How many pupils answered ‘Newspapers only’? Show your working 5 pupils 60° = 5 pupils ÷60 ÷60 1° = x96 x96 8 pupils 96° = 8 pupils (2 marks)

  48. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? DRAWING PIE CHARTS PLENARY ACTIVITY 2 – EXAM QUESTION (CALCULATOR) Mathstown Rovers played 40 football matches. The table shows information about their results. Draw an accurate pie chart to show this information. Total 40 9 18 13 of 360 of of 360 360 WON 40 40 40 81° 117° = 162° = = DRAWN LOST (2 marks)

  49. What level are we working at? Where are we in our journey? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about constructing and interpreting pie charts. It can be a skill or a reflection, or something else that might be prominent in your brain.

  50. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I fully understand I don’t understand I nearly understand www.mistrymaths.co.uk

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