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Which ones are you using?

In this lesson, students will enhance their mathematical learning skills by accurately calculating the area and perimeter of shapes involving algebra. They will engage as creative entrepreneurs, independent learners, reflective learners, responsible citizens, positive thinkers, and team workers. Real-life cross/curricular links will be explored.

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Which ones are you using?

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  1. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Real life cross/curricular links? Where are we in our journey? Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: • Enhance our Mathematical learning skills. (Which Enterprise skills?) • Accurately calculate the area and perimeter of shapes involving algebra. (Levels 4-6) AUTHOR www.mistrymaths.co.uk

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

  3. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker 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: Product Variable Length EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

  4. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) 1) Find the nth term and 20th term of: 8, 4, 0, -4, ….. Decrease 90ml by 5%. - 9 90ml – 4.5ml 10% = 9ml 38 22 5 7 3 5 6 7 1 8 72 12 12 9 ÷2 ÷2 85.5ml = 4.5ml 5% = 36 60 8 6 12 6 2 4 11 164 2) Expand and simplify: 2(b + 3) + 5(b + 4) -4 -4 -4 2b + 5b + 20 + 6 -4n + 12 = 7b + 26 3) Work out the following: -4 x 20 + 12 20th Term = X 2 X 3 20th Term = -68 (a) (b) - ÷ X 2 X 3 2) Use a calculator to write the following as percentages: 10 9 14 2 7 x = = (a) 22 out of 60 = = = 36.7% (1d.p.) 100 = X 4) Work out the following: 300 seconds x x (b) 38 out of 164 5minutes £88 of of (b) 100 23.2% (1d.p.) = ÷ ÷ X £48 250 seconds = =

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES FORMULAE FOR A RECTANGLE length x width Area of a rectangle = length + width + length + width Perimeter =

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES EXAMPLES 1) Find the area and perimeter of the rectangles below: (a) (c) (b) 2g b 6c p 9c 4h 2 9c x 6c 54c p x b bp 4h x 2g 8gh AREA = = = AREA = = AREA = p 2g p b 4h b 4h + 2g + + + + + PERIMETER = PERIMETER = 2b + 2p 8h + 4g = = 6c 9c 9c 6c + + + PERIMETER = 30c = 2) Find the total area of the shape below: b a x b ab AREA OF A = = (8 – b) x 2 AREA OF B = 8 - b A a 2(8 – b) AREA OF B = B 2cm - 2b 16 AREA OF B = 2 ab 16 – 2b + TOTAL AREA = cm 8cm

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES TASK 1 (LEVEL 4) 1) Find the area and perimeter of the rectangles below: (a) (c) (b) g 5f s 8e h t 2 2 8e x 5f 80b 84w h x g s x t 40ef gh st AREA = = AREA = = AREA = = 5f 8e 8e h t + 5f t g s + g s + h P = + + + + + + PERIMETER = PERIMETER = 2g + 2h 2s + 2t 16e + 10f = = = (d) (f) (e) 8b 7w 9m 4n 12w 10b 4n x 9m 36mn 10b x 8b 12w x 7w = AREA = = AREA = = AREA = 10b 8b 8b 7w 7w + 4n 10b 12w + + 12w 9m + + 9m + + 4n + + P = P = P = 36b 38w 18m + 8n = = =

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES TASK 2 (LEVEL 4) 1) Find the perimeter of the shapes below: (a) (c) (b) 2d 5a 5a 3a 4a k – 3a 3a P = 5a + 5a + k - 3a P = 3a + 4a + 3a + 4a P = 7a + k P = 14a P = 6a + 4d 2p 4x 3k 2k + n (d) (f) (e) 3t t + p 2y 2y 3k + 2n 4t + p 4n + k 3t 4x - y 3n 2p P = 4x + 2y + 2y + 4x - y P = 9k + 10n P = 6p + 11t P = 8x + 3y P = 2d + 3a + 2d + 3a

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES TASK 3 (LEVEL 6) 1) Find the total area of the shapes below: 5cm 7cm (b) (a) A 2cm f - 5 B A w 9cm B 7 - k g 2(7-k) AREA OF A = k f 14-2k AREA OF A = g(f-5) 9 x 5 AREA OF A = AREA OF B = kw AREA OF B = fg-5g AREA OF A = 45 AREA OF B = 14-2k + kw cm² TOTAL AREA = 45 + fg – 5g cm² TOTAL AREA = n d (c) (d) p p(d-8) 10 - n A 56 m 7cm B d - 8 3cm 8cm 10cm 3(10-n) m x n AREA OF A = AREA OF B = 30-3n AREA OF A = mn AREA OF B = cm² dp - 8p + 56 TOTAL AREA = mn + 30 – 3n cm² TOTAL AREA =

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES EXTENSION (LEVEL 6) 1) Find the area of each the rectangles labelled below: 3cm 6cm A 4cm B 4 - y C D y 9cm cm² 6y 6(4-y) 3(4-y) AREA OF A = AREA OF C = AREA OF B = 24-6y cm² cm² 12-3y AREA OF A = AREA OF B = 3y cm² AREA OF D = 2) How can you quickly check if the total area answer is correct? 9cm x 4cm 36cm² = Area of big rectangle =

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES MINI-PLENARY ACTIVITY – ROOM FLOOR PLAN Work out the total area of the bedroom by using the floor plan on the left. 16 x y 16yft² = AREA OF A = A 10(17 – y) AREA OF B = 170 – 10yft² = 16y 170 – 10y + TOTAL AREA = 6y + 170 ft² TOTAL AREA = B 17 - y 10 ft

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately calculate the area and perimeter of shapes involving algebra. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? ALGEBRA WITH SHAPES PLENARY ACTIVITY – ASSESSING UNDERSTANDING y + 3 A y B y 4y + 2 Work out the total area of the shape AREA OF A = y(y + 3) AREA OF B = y(4y + 2) AREA OF A = y² + 3y AREA OF B = 4y² + 2y TOTAL AREA = y² + 3y 4y² + 2y + 5y² TOTAL AREA = + 5y

  14. What level are we working at? Where are we in our journey? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about area and perimeter involving algebra. It can be a skill or a reflection, or something else that might be prominent in your brain.

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

  16. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT 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

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