1. Which ones are you using?
Positive Thinker
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Which ones are you using?
Enterprise Skills
LESSON OBJECTIVES
We are learning to:
Enhance our Mathematical learning skills.
(Which Enterprise skills?)
Accurately calculate the values of expressions by algebraic substitution. (Levels 4-6)
Always aim high!
Where are we in our journey?
Real life cross/curricular links?
AUTHOR

2. Creative Entrepreneur
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LEARNING JOURNEY
Enterprise Skills
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3. Creative Entrepreneur
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BRAIN IN GEAR
Enterprise Skills
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EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
LAIERAVB
METR
REXIPONESS
Variable
Term
Expression
EXTENSION
Develop your own Mathematical anagrams as above as a creative entrepreneur. 3

4. Creative Entrepreneur
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STARTER
Enterprise Skills
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TASK
EXTENSION 1)
Convert to an decimal and percentage: 1)
Work out the volume and surface area of the cuboid below:
= 0.85
= 85% 7 5
X 3 3 1
X 7 2)
(a) -
(b) 10 6 3 2 ÷
X 3
X 7
2cm 15 21 - 7 10 x 2 6 3 = =
4cm 21 8 = 18 20 10 9
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
Volume of a cuboid = 56cm 3
Surface Area = 2lw + 2hw + 2lh
Mode = 5
Surface Area = 2 x 7 x 4 + 2 x 2 x 4 + 2 x 7 x 2
Median = 5
Surface Area = 56 + 16 + 28
Mean =
= 6
Surface Area =
100cm 2
Range =
10 - 1
= 9 4

5. Creative Entrepreneur
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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 s + 2t
2( j + 7)
3(b – 1) =
= 16
= 5 x 10
= 50 =
= 13
= 3 x 4 - 5
= 7
= 6 x
= 62
= 5 x x 10
= 51
= 2 x (5 + 7)
= 24
= 3 x (3 – 1)
= 6 5

6. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
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TASK 1 (LEVEL 4) – BOARD GAME EASIER 6

7. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
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TASK 2 (LEVEL 4) – BOARD GAME HARDER 7

8. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
Which ones are you using?
TASK 3 (LEVEL 4) – TOP TRUMPS 8

9. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
Which ones are you using?
TASK 3 (LEVEL 4) – TOP TRUMPS 9

10. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
Which ones are you using?
TASK 3 (LEVEL 4) – BOARD GAME HARDER 10

11. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
Which ones are you using?
TASK 4 (LEVEL 4) – TREASURE HUNT 11

12. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
Which ones are you using?
TASK 4 (LEVEL 4) – TREASURE HUNT 12

13. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
Which ones are you using?
TASK 4 (LEVEL 4) – TREASURE HUNT 13

14. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
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TASK 4 (LEVEL 4) – TREASURE HUNT 14

15. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
Enterprise Skills
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TASK 4 (LEVEL 4) – TREASURE HUNT 15

16. Creative Entrepreneur
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ALGEBRAIC SUBSTITUTION
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TASK 5 (LEVELS 4 - 5) - CODEBREAKER 16

17. Creative Entrepreneur
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TASK 5 (LEVELS 4 - 5) - CODEBREAKER
= 2 x 7 - 4 M H =
= 4
= -1
= 0 - 1 C S
= 2 - 8
= -6
= 10 Y H = A
= 16
= 4 x 4 S
= 10
= -5 x -2
= -1 =
= -8 =
= 2(1 – 4) M T C
= 4
= -8 ÷ -2 =
= 11 E
= -4
= -6 A E R E
= -8 =
= -2 x 2
= -4
= 9
= -3 x -3
= -1(2 x 2)
= -4 T A I
= 11 = =
= -8
= 0 =
MY MATHS TEACHER IS ACE 17

18. Creative Entrepreneur
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TASK 6 (LEVELS 4 - 5) - CROSSNUMBER 5 4 9 9 1 6 7 9 6 2 6 8 4 8 8 2 6 8 5 9 1 7 8 7 8 8 3 7 8 1 3 18

19. Creative Entrepreneur
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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
= 47
= 50
= 42
= 61
= 44
= 59
= 51
= 16
= 31
= 49
= 2
= 23
= 12
= 25
= 48
= 9
= 18
= 17
= 10
= 56
= 15
= 55
= 46
= 27
= 36
= 35
= 45
= 42
= 54
= 11
= 13
= 62
= 32
= 20
= 59
= 57
= 10
= 52
= 3
= 19
= 29
= 7
= 17
= 62
= 6
= 64
= 24 19

20. Creative Entrepreneur
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TASK 7 (LEVELS 4 - 5) – DOT TO DOT 20

21. Creative Entrepreneur
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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
= 43
= 42
= 25
= 5
= 33
= 48
= 23
= 45
= 31
= 36
= 9
= 7
= 46
= 44
= 22
= 40
= 27
= 49
= 11
= 1
= 16
= 24
= 18
= 14
= 34
= 19
= 28
= 30
= 29
= 21
= 1
= 15
= 2
= 26
= 35 21

22. Creative Entrepreneur
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EXTENSION (LEVEL 6) DOT TO DOT 22

23. MINI-PLENARY - CATCHPHRASE
a + c + e 6c
e + d
abc
b - c
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 23

24. Creative Entrepreneur
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LINK BACK TO OBJECTIVES
Accurately calculate the values of expressions by algebraic substitution.
What level are we working at? 24

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

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

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

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

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

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

44. Find the value of: 5c + 2e + b15

45. Find the value of: 6a – 4b – 3c5

46. Find the value of: e + e - b
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

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

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

52. Where are we in our journey? What level are we working at?
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about calculating the values of expressions by algebraic substitution. It can be a skill or a reflection, or something else that might be prominent in your brain.
Where are we in our journey?
What level are we working at?

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

54. Creative Entrepreneur
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SELF ASSESSMENT
Independent Learner
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Responsible Citizen
Team Worker
Enterprise Skills
Which ones are you using?
Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it notes…
Think about how you can improve your work.