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We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately expand single brackets and simplify. (Level 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. IMPSYLIF PRENEXSSIO CROPUDT EXAMPLE DITDIONA can be rearranged to make ADDITION Simplify Expression Product

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STARTER Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK EXTENSION 1) Increase 150kg by 60%. 10% = 15kg 60% = x6 90kg 150kg + 90kg = 240kg Simplify: 9b + 3c + 3b – 7c 2) = 1) Find the nth term and 20 th term of: 4, 1, -2, -5, ….. 12b - 4c 2 7 Work out the following: 3) (a) (b) 8 5 ÷ X 2 X = = 11 = Work out the following: 4) 8 5 x 7 2 = = of £ of 4minutes (b) ÷ x = £16 ÷ x 240 seconds = 100 seconds 2) -3 -3n th Term = -3 x th Term =-53 Use a calculator to write the following as percentages: (a) 45 out of 80 (b) 24 out of X 100 = 56.3% (1d.p.) X 100 = 16.9% (1d.p.)

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a 2 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? EXAMPLES EXPANDING BRACKETS 1) Expand the following brackets and simplify: (a) 3(2g + 3h) + 2(4g – h) = 6g + 9h + 8g - 2h = 14g + 7h (b) 4(v – 3w) - 2(4v – w) = 4v- 12w - 8v + 2w = - 4v - 10w (c) a(a + 4b) - b(2a – 5b) = + 4ab - 2ab + = + 2ab 5b 2 a 2 + 5b 2 5b 2 (d) b(5b - 6) - b(3b – 4) = -6b -4b + = - 2b 3b 2 2b 2

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 1 (LEVEL 6) EXPANDING BRACKETS 1) Expand the following brackets and simplify: (a) 4(a + b) + 2(a + b) = 4a + 4b + 2a + 2b = 6a + 6b (b) 6(5p + 2q) + 3(3p + q) = 30p+ 12q +9p + 3q = 39p + 15q (c) 7(2e + t) + 2(e – 3t) = 14e + 7t + 2e - 6t = 16e + t (d) 2(3x – 2y) + 6(2x + y) = 6x - 4y + 12x + 6y = 18x + 2y (e) 5(m - x) + 3(2m + x) = 5m - 5x + 6m + 3x = 11m - 2x (f) 7(4u – 3k) + 5(2u – k) = 28u - 21k + 10u - 5k = 38u - 26k

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 2 (LEVEL 6) EXPANDING BRACKETS 1) Expand the following brackets and simplify: (a) 5(m + n) - (3m + 2n) = 5m + 5n - 3m - 2n = 2m + 3n (b) 8(g + 3h) - 2(2g + h) = 8g+ 24h - 4g - 2h = 4g + 22h (c) 7(d + 2e) - 3(2d – 3e) = 7d + 14e - 6d + 9e = d + 23e (d) 6(2 – 3x) - 3(2 – 5x) = x x = 6 - 3x

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2mn Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 3 (LEVEL 6) EXPANDING BRACKETS 1) Expand the following brackets and simplify: d 2 (a) d(d + h) + h(2h + d) = + dh + + = d 2 m(3m + 7n) + n(2m – 4n) (b) (c) e(5e + 4f) - f(2e + 3f) (d) y(4x – 2y) + x(7y + 5x) (e) k(4k – 2t) - t(3k + 7t) (f) j(j + 7r) - r(2r – 9j) 2h 2 + 2dh + 2h 2 3m 2 = + 7mn + - = 3m 2 4n 2 + 9mn - 4n 2 2ef 5e 2 = + 4ef - - = 5e 2 3f 2 + 2ef - 3f 2 7xy 4xy = = 5x xy 2y 2 5x 2 - 2y 2 3kt 4k 2 = - 2kt-- 4k 2 7t 2 - 5kt - 7t 2 = j 2 = + 7jr- + = 9jr j 2 2r jr - 2r 2

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK 4 (LEVEL 6) – NAUGHTS AND CROSSES GAME EXPANDING BRACKETS In pairs, create three of your own naughts and crosses grids on expanding brackets and simplifying as shown below. Best out of three to win.

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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) EXPANDING BRACKETS 8(x + 2) + 7(x – 3) – 5(x – 4) 9 + 6(x – 5) + (3x – 8) 2(x + 3) –7(x – 1) – (4x + 15) 7x – (3x + 2) + (2x – 7) (2x + 5) – 4(3x – 4) – (2x + 7) + 2x 1) Match the following expressions with their respective answers: EXPRESSIONS ANSWERS 10x x – 29 – 9x – 2 6x

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Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – SPOT THE MISTAKE EXPANDING BRACKETS Find the mistakes: (a) 6(2 – 3x) - 3(2 – 5x) = x x = x (b) j(j + 7r) - r(2r – 9j) j 2 = - 7jr - + = 9jr j 2 2r + 16jr - 2r 2

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DISCOVERY LINK BACK TO OBJECTIVES - Accurately expand single brackets and simplify. 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? PLENARY ACTIVITY (BINGO) EXPANDING BRACKETS 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

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Expand and simplify: 2(x+5) + 2(x+5) 4x+20

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Expand and simplify: 3(x+2) + 2(x+6) 5x+18

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Expand and simplify: 5(x+2) + 3(x+5) 8x+25

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Expand and simplify: 6(x+7) + 2(x+2) 8x+46

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Expand and simplify: 3(y+3) + 3(y+6) 6y+27

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Expand and simplify: 3(x+8) + 2(x-5) 5x+14

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Expand and simplify: 5(x+4) + 3(x-2) 8x+14

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Expand and simplify: 4(x+6) + 2(x-2) 6x+20

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Expand and simplify: 5(x+7) + 4(x-2) 9x+27

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Expand and simplify: 6(x+2) + 4(x-3) 10x

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Expand and simplify: 3(x-2) + 2(x+4) 5x+2

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Expand and simplify: 4(x-1) + 2(x+3) 6x+2

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Expand and simplify: 5(x-3) + 4(x+6) 9x+9

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Expand and simplify: 6(x-4) + 4(x+5) 10x-4

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Expand and simplify: 6(x-3) + 4(x+3) 10x-6

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Expand and simplify: 3(x-2) + 2(x-3) 5x-12

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Expand and simplify: 5(x-4) + 3(x-5) 8x-35

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Expand and simplify: 8(x-3) + 4(x-6) 12x-48

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Expand and simplify: 9(x-3) - 5(x-4) 4x-7

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Expand and simplify: 10(x-6) - 7(x-9) 3x+3

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Expand and simplify: m(n+g) + g(g+7m) g2 +8mg +mn

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Expand and simplify: t(m+w) + w(w+6t) w2 +7tw +mt

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Expand and simplify: 4r(a+6) + a(a+7r) a2 +11ar +24r

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Expand and simplify: 8t(d+9) + d(d+5t) d2 +13dt +72t

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Expand and simplify: 8y(z-2) - y(y-7z) -y2 +15yz -16y

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Draw your brain What have you learnt? In your brain, write or draw everything you can remember about expanding single brackets and simplifying. 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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