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 simplify expressions by collecting like terms. (Levels 4-5) 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: FIMYSLIP NEXSPESIOR EARBAVIL Simplify Expression Variable 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) Decrease €90 by 30%. 1) Find the nth term and 50th term of: 5, 3, 1, -1, ….. 10% = €9 €90 - €27 x3 x3 30% = €27 = €63 2) 9 20 Write as a decimal and percentage -2 -2 -2 = 0.45 = 45% -2n + 7 3) Work out the following: 50th Term = -2 x 50 + 7 5 4 X 2 2 1 X 5 9 6 4 6 (a) - (b) 50th Term = -93 ÷ X 2 X 5 2) Use a calculator to write the following as percentages: 8 10 - 5 9 6 6 4 = = x 10 3 54 24 9 4 (a) 57 out of 103 = = = 103 57 100 55.3% (1d.p.) X = 4) Work out the following: x x 120 seconds 7 2 6 5 (b) 16 out of 92 of £56 (b) of 2minutes 92 16 ÷ ÷ X 100 = 17.4% (1d.p.) £16 100 seconds = = 4

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? INTRODUCTION – ALGEBRAIC SHORTHAND MATCH THE EXPRESSIONS WITH THEIR ANSWERS IN RED 3 x n = p x 7 = 24bcd 25wy a x (b + c) = 3 m 7p c x d x e = m ÷ 3 = a(b + c) (a + b) ÷ c = 4hp 2f x g = cde h x 4p = a + b c 3b x 4c x 2d = 3n 5w x 5y = 2fg 5

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? EXAMPLES 1) Simplify the following expressions: (a) b + b + b + b (b) b x b x b x b (c) 7x + 6x 2 (d) 10ab – 7ab b 4 13x 2 3ab = 4b = = = (e) 5x – 3x + 9x (f) 2y + 3y – 7y (g) 6g + 7e + 4g + 9e 10g = 11x = -2y = + 16e (h) 5m – 6n + 4m – 3n = 9m - 9n 6

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) 1) Simplify the following expressions: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) (m) (n) (o) (p) (q) = 11h = 5p = 6u = -5b = 5j = -12r = 6k = 8y = 10d = 7i = 3b = -4b = 9xy = 11p 2 = -5ab = 4a 2 = -10fg 7

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 2 (LEVEL 4) 1) Cut these out, match up the expressions that are equivalent and then stick them into your book. For the one left over, see if you can simplify it yourself. -a + 5b 8

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) 1) Simplify the following expressions: (a) = 5g + 8h (b) = 2g + 8m (c) = 8f + 10d (d) = 11x + 5y (e) = 6q + 2r (f) = 2s + 4 (g) = 3c + 3 (h) = 14b + 7 (i) = 14w - 7 (j) = 6bf + 5g (k) = 3d + 7d 2 (l) = 4st + 5t = -3s + 2t (o) = -2h + 2i (p) = -9w + 4y 9

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) 1) Simplify the following expressions: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) = 13e + 9f = 7t + 6u = 4b + 3d = 7a + 7c = 6f + 5g = 2h + 6i = p + 5q = 19j + 4k = -2u + 2t = 5s – 4t = -2p + q = -6d – 4e 10

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 5 (LEVEL 4) – Collective Memory 11

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 6 (LEVEL 4) 9a + 6b 7a + 3b 7a + 9c 5a + 9c 5a + b b + c 12

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? TASK 7 (LEVEL 4) V I O L E T I N D I G O B L E - U Y E O L L W 13

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? EXTENSION 1 (LEVEL 5) 14

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? EXTENSION 2 (LEVEL 6) 1) Show that two consecutive integers multiplied together always give an even number. (n)(n + 1) = n + n 2 Always even 2) Show that any three consecutive integers always multiply together to give a multiple of 6. (n)(n + 1)(n + 2) (n + n)(n + 2) 2 = = n 3 + 2 2n n 3 + 2 2n = Always a multiple of 6 15

Creative Entrepreneur MINI-PLENARY ACTIVITY – AFL CARDS Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS Simplify 4a + 3b - a 6ab A B C D Well done! Nope! Wrong! Try again! 5a+3b 3a+3b 3ab 16

Creative Entrepreneur MINI-PLENARY ACTIVITY – AFL CARDS Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS Simplify x+x+2x2 4x A B C D 2x+2x2 Wrong! Well done! Try again! Nope! 4x2 2x+x2 17

Creative Entrepreneur MINI-PLENARY ACTIVITY – AFL CARDS Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS Simplify 5y-3y+2x-x 2y+3x A B C D 2y-x Well done! Nope! Wrong! Try again! 2y+x 2y-3x 18

Creative Entrepreneur MINI-PLENARY ACTIVITY – AFL CARDS Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS Simplify 5a+3b+4c-2a+b-5c 3a+4b-c A B C D Well done! Nope! 7a+4b-9c Wrong! Try again! 3a+4b-9c 3a+4b+c 19

Creative Entrepreneur MINI-PLENARY ACTIVITY – AFL CARDS Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS Simplify 6x-8x+4y-3y+2 2x-7y+2 A B C D Well done! Nope! -y+2+2x Wrong! Try again! 2-2x+y -14x-7y+2 20

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 simplify expressions by collecting like terms. What level are we working at? 21

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Draw a 3 x 3 grid as shown below: Place any nine numbers below into the grid (repeats forbidden) 11p -10q 11y 10h + 4g 7fg 2g 21j 7x + 9y 4p -4y -5z 20b + 9 5y – 11w 8g -8d – 4e -2h + 2i 5w 2 22

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 5g – 3g 2g 23

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 8p – 4p 2 4p 2 24

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 14b + 9 + 6b 20b + 9 25

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: -6h + 2i + 4h -2h + 2i 26

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 13j – 6k + 8j + 6k 21j 27

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 2x + 6y + 5x + 3y 7x + 9y 28

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 14w – 9w 5w 29

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 5fg – 6fg + 8fg 7fg 30

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 5p – 3q - 7q + 6p 11p – 10q 31

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 6g + 4g – 2g 8g 32

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 6y – 10y -4y 33

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: -3d + 5e – 5d – 9e -8d – 4e 34

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 5y – 3w – 8w 5y – 11w 35

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 7y – 2y + 6y 11y 36

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 3z – 8z -5z 37

Creative Entrepreneur PLENARY ACTIVITY (BINGO) Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Collecting like terms Enterprise Skills Which ones are you using? PLENARY ACTIVITY (BINGO) Simplify the following expressions: 7h + 3h + 4g 10h + 4g 38

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 collecting like terms. 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