Which ones are you using?

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

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

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen 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: IMPSYLIF PRENEXSSIO CROPUDT Simplify Expression Product EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur. 3

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Increase 150kg by 60%. 1) Find the nth term and 20th term of: 4, 1, -2, -5, ….. 10% = 15kg 150kg + 90kg x6 x6 60% = 90kg = 240kg 2) Simplify: 9b + 3c + 3b – 7c -3 -3 -3 = 12b - 4c -3n + 7 3) Work out the following: 20th Term = -3 x 20 + 7 6 1 X 2 4 3 X 3 8 5 2 7 (a) + (b) 20th Term = -53 ÷ X 2 X 3 2) Use a calculator to write the following as percentages: 12 + 2 9 8 5 7 2 = = x 12 11 56 10 28 5 (a) 45 out of 80 = = = 80 45 100 56.3% (1d.p.) X = 4) Work out the following: x x 240 seconds 7 2 24 10 (b) 24 out of 142 of £56 (b) of 4minutes 142 24 ÷ ÷ X 100 = 16.9% (1d.p.) £16 100 seconds = = 4

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

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

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

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills EXPANDING BRACKETS Which ones are you using? TASK 3 (LEVEL 6) 1) Expand the following brackets and simplify: (a) d(d + h) + h(2h + d) m(3m + 7n) + n(2m – 4n) (b) d 2 3m 2 = + dh + 2h 2 + dh = + 7mn + 2mn - 4n 2 d 2 + 2h 2 3m 2 - 4n 2 = + 2dh = + 9mn (c) e(5e + 4f) - f(2e + 3f) (d) y(4x – 2y) + x(7y + 5x) 5e 2 4xy - = + 4ef - 2ef - 3f 2 = 2y 2 + 7xy + 5x 2 5e 2 + 2ef - 3f 2 5x 2 = + 11xy - 2y 2 = (e) k(4k – 2t) - t(3k + 7t) (f) j(j + 7r) - r(2r – 9j) 4k 2 = j 2 - + 7jr - 2r 2 + 9jr = 2kt - 3kt - 7t 2 = 4k 2 j 2 - 5kt - 7t 2 = + 16jr - 2r 2 8

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills EXPANDING BRACKETS Which ones are you using? TASK 4 (LEVEL 6) – NAUGHTS AND CROSSES GAME 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. 9

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills EXPANDING BRACKETS 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 + 6(x – 5) + (3x – 8) 2(x + 3) –7(x – 1) – (4x + 15) 7x – (3x + 2) + (2x – 7) + 10 6(2x + 5) – 4(3x – 4) – (2x + 7) + 2x 9x – 29 – 9x – 2 10x + 15 6x + 1 39 10

Creative Entrepreneur MINI-PLENARY ACTIVITY – SPOT THE MISTAKE Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills EXPANDING BRACKETS Which ones are you using? MINI-PLENARY ACTIVITY – SPOT THE MISTAKE Find the mistakes: (a) 6(2 – 3x) - 3(2 – 5x) (b) j(j + 7r) - r(2r – 9j) = 12 - 18x - 6 - 15x = j 2 - 7jr - 2r + 9jr 6 + 33x = j 2 = + 16jr - 2r 2 11

Creative Entrepreneur Positive Thinker Creative Entrepreneur DISCOVERY Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills Which ones are you using? LINK BACK TO OBJECTIVES Accurately expand single brackets and simplify. What level are we working at? 12

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills EXPANDING BRACKETS Which ones are you using? PLENARY ACTIVITY (BINGO) T H S E R M A U B 13

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Expand and simplify: 8y(z-2) - y(y-7z)

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 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?

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 www.mistrymaths.co.uk

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 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