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Enhancing Mathematical Learning Skills through Algebraic Substitution

An engaging lesson incorporating enterprise skills to enhance algebraic substitution abilities and mathematical anagrams, suitable for levels 4-6 students.

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Enhancing Mathematical Learning Skills through Algebraic Substitution

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  1. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker 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 values of expressions by algebraic substitution. (Levels 4-6) AUTHOR www.mistrymaths.co.uk

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

  3. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker 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: Variable Term Expression 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 - 18 2 8 1 5 6 9 10 21 2 21 20 10 10 21 3 3 7 = 0.85 = 85% X 3 X 7 2) (b) (a) - ÷ X 3 X 7 2cm 15 7 = = 4cm 7cm = = = Volume of a cuboid = l x w x h Volume of a cuboid = 7 x 4 x 2 3) Work out the averages and range for: 1, 5, 5, 9, 10 Surface Area = 2lw + 2hw + 2lh 3 Volume of a cuboid = 56cm 5 6 3 Mode = Surface Area = 2 x 7 x 4 + 2 x 2 x 4 2 x 7 x 2 + 5 Median = Surface Area = 16 28 56 + + 2 100cm Surface Area = Mean = = 6 Range = 10 - 1 = 9

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? EXAMPLES Menu Coffee (c) = 10 Tea (t) = 10 Muffin (m) = 4 Flapjack (f) = 2 Juice (j) = 5 Sandwich (s) = 20 Biscuits (b) = 3 Water (w) = 1 What is the value of the following expressions? • s – 4 • 5c • 5 + j + b • 3m – 5 • 6t + f • 5w + 6 + s + 2t • 2( j + 7) • 3(b – 1) = 20 - 4 = 16 = 5 x 10 = 50 = 5 + 5 + 3 = 13 = 3 x 4 - 5 = 7 = 62 = 6 x 10 + 2 = 51 = 5 x 1 + 6 + 20 + 2 x 10 = 2 x (5 + 7) = 24 = 3 x (3 – 1) = 6

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) – BOARD GAME EASIER

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 2 (LEVEL 4) – BOARD GAME HARDER

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) – TOP TRUMPS

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) – TOP TRUMPS

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) – BOARD GAME HARDER

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT

  14. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT

  15. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT

  16. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 5 (LEVELS 4 - 5) - CODEBREAKER

  17. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 5 (LEVELS 4 - 5) - CODEBREAKER = 2 x 7 - 4 M S H C = 0 - 1 = 2 - 8 = -2 + 6 = 4 = -1 = 10 = -6 = 1 + - 2 A Y H S = 4 x 4 = 16 = 4 - 12 = -5 x -2 = -1 = -8 = 10 = 2(1 – 4) = -7 - - 3 T C E M = -4 = -6 = 11 = 9 - - 2 = -8 ÷ -2 = 4 R E E A = -3 x -3 = -1(2 x 2) = 9 = -4 = -2 x 2 = -4 = 8 - 16 = -8 T I A = -3 + 14 = 11 = -5 + -3 = -8 = 16 - 16 = 0 MY MATHS TEACHER IS ACE

  18. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 6 (LEVELS 4 - 5) - CROSSNUMBER 9 5 9 4 1 6 2 6 7 9 4 6 8 8 8 2 6 8 5 9 1 7 3 8 7 8 8 0 7 8 1 3

  19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 7 (LEVELS 4 - 5) – DOT TO DOT = 16 = 28 = 21 Join each question number to its answer. The bold numbers are good starting points. Make sure you answer every question. Lines will only be horizontal or vertical. If you reach a dead end, stop. = 22 = 53 = 41 = 33 = 39 = 30 = 14 = 50 = 42 = 47 = 51 = 44 = 61 = 59 = 31 = 16 = 49 = 2 = 25 = 23 = 12 = 17 = 9 = 18 = 48 = 10 = 56 = 15 = 55 = 46 = 27 = 35 = 36 = 54 = 11 = 45 = 42 = 20 = 62 = 13 = 32 = 59 = 57 = 10 = 19 = 52 = 3 = 29 = 7 = 17 = 64 = 24 = 6 = 62

  20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 7 (LEVELS 4 - 5) – DOT TO DOT

  21. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? EXTENSION (LEVEL 6) DOT TO DOT Use the formulae to work out the required values. Join the question number to its answer and start on 13. After jumps, you may find it helpful to circle your new starting point so you don’t get lost. = 38 = 32 = 20 = 3 = 39 = 25 = 43 = 42 = 5 = 33 = 48 = 23 = 45 = 31 = 36 = 7 = 46 = 9 = 44 = 22 = 40 = 27 = 49 = 11 = 1 = 16 = 24 = 18 = 14 = 34 = 28 = 19 = 30 = 29 = 21 = 1 = 15 = 2 = 35 = 26

  22. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? EXTENSION (LEVEL 6) DOT TO DOT

  23. MINI-PLENARY - CATCHPHRASE 6c e + d abc b - c a + c + e 10a - c ad + e bd de a = 2 b = -3 40 + d ab + e ac + cd ac + 8 5a + c c = 5 d = -4 7e - e a - b 5b e = 1 c - a c + e - d de + a cd d + 4

  24. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately calculate the values of expressions by algebraic substitution. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  25. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker A H S M T B S E S U R T ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? PLENARY ACTIVITY

  26. A C E B D F H J a = 5 b = 4 c = 3 d = 0 e = -2 G I K M O L N P R T Q S U W Y V X

  27. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 2a 10

  28. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 6c 18

  29. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 9e -18

  30. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 9d 0

  31. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 10e -20

  32. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: a + b 9

  33. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c + e 1

  34. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c - a -2

  35. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: e + c 1

  36. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: e - b -6

  37. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 2a + 3b 22

  38. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 3c – 4d 9

  39. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 4d – 2c -6

  40. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 3e + 3a 0

  41. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 4a – 2e 24

  42. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 2a + 3b - e 24

  43. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 3a + 5c – 9d 30

  44. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 5c + 2e + b 15

  45. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 6a – 4b – 3c 5

  46. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: e + e - b -8

  47. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: a 2 25

  48. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c 2 9

  49. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: d 2 0

  50. a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: b 2 16

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