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Enhancing Mathematical Skills with Enterprise Activities

Develop mathematical skills by calculating mode, median, mean, and range. Engage in creative tasks to improve learning. Utilize enterprise skills for real-life application.

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Enhancing Mathematical Skills with Enterprise Activities

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  1. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen 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 calculate the mode, median, mean and range for a set of data. (Level 5) AUTHOR www.mistrymaths.co.uk

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

  3. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen 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: Averages Spread Anamoly EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

  4. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Convert to an decimal and percentage: 1) Work out the volume and surface area of the cuboid below: + x - 4 28 3 3 1 1 2 2 1 7 1 7 2 11 8 15 3 8 15 8 24 24 6 15 8 15 4 8 3 5 3 4 5 8 = 0.6 = 60% X 3 X 5 X 2 2) (a) (b) + - X 3 X 5 X 2 3cm 6 5 7 6 = = 2cm 4cm = = Volume of a cuboid = l x w x h Volume of a cuboid = 4 x 2 x 3 (c) (d) x ÷ Surface Area = 2lw + 2hw + 2lh 3 Volume of a cuboid = 24cm 7 4 Surface Area = 2 x 4 x 2 + 2 x 3 x 2 2 x 4 x 3 + = = Surface Area = 12 24 16 + + 1 2 52cm = = = Surface Area = 1

  5. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? INTRODUCTION MODE MOST COMMON MEDIAN MIDDLE WHEN IN ORDER SUM OF ALL NUMBERS AMOUNT OF NUMBERS MEAN AVERAGES MODE, MEDIAN & MEAN RANGE BIGGEST - SMALLEST

  6. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? EXAMPLES 1) Work out the averages and range for the following data: (a) (b) 4, 7, 1, 3, 5, 6, 6, 8 7, 6, 2, 3, 1, 9, 5, 4, 8 1, 3, 4, 5, 6, 6, 7, 8 1, 2, 3, 4, 5, 6, 7, 8, 9 6 MODE = No mode MODE = Most common Most common 5.5 5 MEDIAN = Middle when in order MEDIAN = Middle when in order 4.4 (1d.p.) 5 MEAN = MEAN = 9 - 1 8 - 1 7 8 Biggest - Smallest Biggest - Smallest RANGE = RANGE =

  7. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 1 (LEVEL 5) – TOP TRUMPS

  8. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 1 (LEVEL 5) – TOP TRUMPS

  9. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 1 (LEVEL 5) – TOP TRUMPS

  10. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 2 (LEVEL 5) – CROSSNUMBER 5 0 9 7 6 2 0 1 1 3 4 2 8 5 7 1 2 1 3 1 6 1 7 5 5 6 4 0 6 2 4 9 3

  11. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Draw a 3 x 3 grid as shown below: Place any nine numbers below into the grid (repeats forbidden) 35 10 200 600 3000 2 80 40 3 32 18 1 50 800 5000 2500

  12. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Mean of 150, 160, 290 200

  13. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Median of 14, 14, 15, 18, 18, 19, 21 18

  14. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Mean of 1, 2, 4, 5 3

  15. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Range of 30, 57, 89, 95, 108, 110 80

  16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Median of 34, 67, 4, 10, 9 10

  17. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Median of 45, 32, 35, 29, 28 32

  18. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Range of 45, 34, 12, 72, 56 60

  19. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Mode of 1, 2, 1, 4, 2, 2, 5 2

  20. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Mode of 567, 600, 356, 600, 400, 500 600

  21. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Mean of 0, 0, 1, 2, 2 1

  22. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Range of 12, 57, 60, 34, 812, 715 800

  23. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO The mean of 0, 5000 2500

  24. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO The range of 12, 36, 37, 41, 46, 47 35

  25. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO Mean of 1000, 4000, 10000 5000

  26. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO The range of 23, 19, 27, 45, 59, 35, 37 40

  27. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 3 (LEVEL 5) – BINGO The median of 1549, 2500, 3000, 3560, 4000 3000

  28. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  29. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  30. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  31. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  32. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  33. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  34. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  35. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  36. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  37. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 4 (LEVEL 5) – TREASURE HUNT

  38. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 5 (LEVEL 5) – AVERAGES CARD GAME

  39. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 5 (LEVEL 5) – AVERAGES CARD GAME

  40. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 5 (LEVEL 5) – AVERAGES CARD GAME

  41. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? TASK 5 (LEVEL 5) – AVERAGES CARD GAME

  42. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? EXTENSION 1 (LEVEL 5) 1) • Jimmy chooses the following 4 cards and chooses a 5th from a set of cards numbered 1 to 9. Which card should he choose to complete the set to give the averages/range stated. • (a) Mean 5 Median 5 Range 8 No Mode • (b) Mode 5 Median 5 Mean 4.2 Range 2 • (c) Mean 6 Median 7 2) Jimmy now has 6 blank cards. What should he write on them to get the following: (a) mean 5 and mode 4 (b) mean 6, mode 6, median 6 and range 2 Several answers

  43. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? EXTENSION 2 (LEVEL 5) 1) Collect data on the average journey time to school in the morning, in minutes, for each student in the class. Proceed to calculate the averages and range for this data. Comment on your findings.

  44. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? MINI PLENARY ACTIVITY – AFL CARDS What is the median? 5, 6, 8, 8, 9, 10, 11, 13, 15 10 C 8 A 9 9.5 B D

  45. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? MINI PLENARY ACTIVITY – AFL CARDS What is the median? 3,5,8,10,11,11 9 C 10 A 8.5 11 B D

  46. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? MINI PLENARY ACTIVITY – AFL CARDS What is the mean? 2, 8, 6, 4 20 C 5 A 7 5.5 B D

  47. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? MINI PLENARY ACTIVITY – AFL CARDS What is the mean? 1, 6, 8, 2, 3, 4 5 C 24 A 3.5 4 B D

  48. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? MINI PLENARY ACTIVITY – AFL CARDS What is the mode? 4, 2, 11, 10, 1 6 C 10 A 8 None B D

  49. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Enterprise Skills AVERAGES AND RANGE Which ones are you using? MINI PLENARY ACTIVITY – AFL CARDS What is the mode? 5, 6, 8, 8, 9, 10, 11, 13, 15 10 C 8 A 9 15 B D

  50. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen • LINK BACK TO OBJECTIVES • Accurately calculate the mode, median, mean and range for a set of data. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

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