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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! LESSON OBJECTIVES Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links?

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

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

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3 1 STARTER EXTENSION TASK Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? 1) Convert to an decimal and percentage: 1) Work out the volume and surface area of the cuboid below: = 85% 2) (a) X 3 X = = 21 8 (b) 10 6 ÷ 3 2 x 2 63 = = = 2cm = 0.85 Work out the averages and range for: 1, 5, 5, 9, 10 3) Mode = 5 Median = 5 Mean = = 6 Range = = 9 7cm 4cm Volume of a cuboid = l x w x h Volume of a cuboid = 7 x 4 x 2 Volume of a cuboid = 56cm 3 Surface Area = 2lw + 2hw + 2lh Surface Area = 2x7x4+2x2x4 + 2x7x Surface Area = 2 100cm 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? ALGEBRAIC SUBSTITUTION TASK 6 (LEVELS 4 - 5) - CROSSNUMBER

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? ALGEBRAIC SUBSTITUTION TASK 7 (LEVELS 4 - 5) – DOT TO DOT 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. = 16 = 22 = 33 = 47 = 61 = 16 = 23 = 48 = 10 = 46 = 45 = 13 = 59 = 52 = 62 = 28 = 39 = 44 = 31 = 12 = 9 = 56 = 27 = 42 = 62 = 3 = 7 = 6 = 21 = 53 = 30 = 50 = 59 = 49 = 25 = 18 = 15 = 36 = 54 = 32 = 57 = 19 = 64 = 41 = 14 = 42 = 51 = 2 = 17 = 55 = 35 = 11 = 20 = 10 = 29 = 17 = 24

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

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXTENSION (LEVEL 6) DOT TO DOT ALGEBRAIC SUBSTITUTION 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 dont get lost. = 19 = 30 = 1 = 2 = 26 = 32 = 39 = 42 = 33 = 23 = 36 = 7 = 22 = 27 = 1 = 24 = 28 = 21 = 46 = 40 = 49 = 16 = 18 = 34 = 38 = 3 = 43 = 5 = 31 = 9 = 44 = 25 = 48 = 45 = 14 = 11 = 29 = 15 = 35 = 20

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Draw your brain What have you learnt? 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. What level are we working at? Where are we in our journey?

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. How well do you understand the task? I dont understand I nearly understand I fully understand Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? SELF ASSESSMENT Plenary Activity

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

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