# Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner

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Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills LESSON OBJECTIVES Responsible Citizen Team Worker Which ones are you using? Always aim high! We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills? ) - Accurately expand single brackets and simplify. (Level 6) Where are we in our journey? AUTHOR www. mistrymaths. co. uk Real life cross/curricular links?

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

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

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner STARTER TASK 1) Increase 150 kg by 60%. x 6 10% = 15 kg 60% = 90 kg x 6 150 kg + 90 kg = 240 kg 2) Simplify: 9 b + 3 c + 3 b – 7 c = 12 b - 4 c following: 3)Work. X 2 out the X 3 (a) 1 + 3 6 X 2 4 2 12 = + 9 12 X 3 (b) 5 ÷ 8 = 7 2 2 5 x 7 8 10 5 = 28 56 11 = 12 4) Work out the following: x 240 seconds x 10 2 of 4 minutes of £ 56 (b) 24 7 = ÷ = £ 16 ÷ = 100 seconds Reflective Learner Responsible Citizen Team Worker Which ones are you using? EXTENSION 1) Find the nth term and 20 th term of: 4, 1, -2, -5, …. . -3 -3 n + 7 20 th Term = -3 x 20 + 7 20 th Term = -53 2) Use a calculator to write the following as percentages: (a) 45 out of 80 45 X 100 = 56. 3% (1 d. p. ) 80 (b) 24 out of 142 24 X 100 = 16. 9% (1 d. p. ) 142

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

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

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. EXPANDING BRACKETS TASK 2 (LEVEL 6) 1) Expand the following brackets and simplify: Responsible Citizen Team Worker Which ones are you using? (a) 5(m + n) - (3 m + 2 n) = 5 m + 5 n - 3 m - 2 n = 2 m + 3 n (b) 8(g + 3 h) - 2(2 g + h) = 8 g + 24 h - 4 g - 2 h 4 g + 22 h = (c) 7(d + 2 e) - 3(2 d – 3 e) = 7 d + 14 e - 6 d + 9 e = d + 23 e (d) 6(2 – 3 x) - 3(2 – 5 x) = 12 - 18 x - 6 + 15 x = 6 - 3 x

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. EXPANDING BRACKETS TASK 3 (LEVEL 6) 1) Expand the following brackets and simplify: Responsible Citizen Team Worker Which ones are you using? (a) d(d + h) + h(2 h + d) 2 d = + dh + 2 h 2 + dh 2 2 = d + 2 dh + 2 h (b) m(3 m + 7 n) + n(2 m – 4 n) 2 3 m = + 7 mn + 2 mn - 4 n 2 2 2 = 3 m + 9 mn - 4 n (c) e(5 e + 4 f) - f(2 e + 3 f) 2 5 e = + 4 ef - 2 ef - 3 f 2 2 2 = 5 e + 2 ef - 3 f (d) y(4 x – 2 y) + x(7 y + 5 x) 2 = 4 xy - 2 y + 7 xy + 5 x 2 2 2 = 5 x + 11 xy - 2 y (e) k(4 k – 2 t) - t(3 k + 7 t) 2 = 4 k - 2 kt - 3 kt - 7 t 2 = 4 k 2 - 5 kt - 7 t 2 (f) j(j + 7 r) - r(2 r – 9 j) = j 2 +7 jr - 2 r 2 + 9 jr = j 2 + 16 jr - 2 r 2

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? TASK 4 (LEVEL 6) – NAUGHTS AND CROSSES GAME Enterprise Skills. 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.

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Enterprise Skills. EXPANDING BRACKETS Responsible Citizen Team Worker Which ones are you using? EXTENSION (LEVEL 6) 1) Match the following expressions with their respective answers: EXPRESSIONS ANSWERS 8(x + 2) + 7(x – 3) – 5(x – 4) 9 x – 29 9 + 6(x – 5) + (3 x – 8) – 9 x – 2 2(x + 3) – 7(x – 1) – (4 x + 15) 10 x + 15 7 x – (3 x + 2) + (2 x – 7) + 10 6 x + 1 6(2 x + 5) – 4(3 x – 4) – (2 x + 7) + 2 x 39

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. EXPANDING BRACKETS MINI-PLENARY ACTIVITY – SPOT THE MISTAKE using? Find the mistakes: (a) 6(2 – 3 x) - 3(2 – 5 x) = 12 - 18 x - 6 - 15 x = 6 + 33 x (b) j(j + 7 r) - r(2 r – 9 j) = j 2 - 7 jr - 2 r + 9 jr = j 2 + 16 jr - 2 r 2

Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner DISCOVERY Responsible Citizen Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately expand single brackets and simplify. What level are we working at?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. EXPANDING BRACKETS using? PLENARY ACTIVITY (BINGO) B M U A S T T H E S R S

A C B F E D H G K J I M L P O N R Q U T S W V Y X

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Expand simplify: m(n+g) + g(g+7 m) g +8 mg+mn 2

Expand simplify: t(m+w) + w(w+6 t) w +7 tw +mt 2

Expand simplify: 4 r(a+6) + a(a+7 r) a +11 ar +24 r 2

Expand simplify: 8 t(d+9) + d(d+5 t) d +13 dt +72 t 2

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

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

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

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