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Enhancing Mathematical Skills through Algebra Brick Wall Problems

In this lesson, students will enhance their mathematical learning skills by accurately solving algebra brick wall problems. They will also practice creative thinking and problem-solving as they work on mathematical anagrams and percentage calculations. This lesson promotes independent and reflective learning, as well as developing skills as responsible citizens and positive thinkers.

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Enhancing Mathematical Skills through Algebra Brick Wall Problems

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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 solve algebra brick wall problems. (Levels 5-6) 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: Adjacent Layer Inverse 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, -3, 2, 7, ….. Write 0.24 as a fraction: + 5 10 6 14 36 19 5 2 4 1 24 5 45 42 45 = 160 65 21 45 100 25 9 5 12 7 6 9 11 2) Write as a decimal and percentage 20 +5 +5 +5 5n 0.55 - 13 = 55% = 3) Work out the following: 5 x 20 - 13 20th Term = X 5 X 9 20th Term = 87 (a) (b) + X X 5 X 9 2) Use a calculator to write the following as percentages: 20 10 9 = = (a) 36 out of 160 = = 22.5% 100 = X 4) Work out the following: 120 hours x x (b) 14 out of 65 5days £54 of of (b) 100 21.5% = ÷ ÷ X £30 50 hours = =

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS EXAMPLES Work out the value of x in each of these brick wall problems: (a) (b) 35 21 2x + 7 x + 7 x + 8 x + 3 x x 8 2x 7 3 ADD ADD ADD ADD ADD + + x + 8 x + 3 = 21 2x + 7 x + 7 = 35 = 21 2x + 11 = 35 3x + 14 - 11 - 14 - 11 - 14 2x 3x 10 21 = = ÷ 2 ÷ 2 ÷ 3 ÷ 3 x x 5 7 = =

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS TASK 1 (LEVEL 5) 1) Find the value of x in each of these brick wall problems: (c) (a) (b) 21 26 26 x + 11 x + 4 x + 3 x + 8 x + 7 x + 4 x x x 7 11 4 4 3 8 24 22 29 (f) (d) (e) x + 8 x + 7 x + 9 x + 3 x + 7 x + 5 x x 7 8 9 x 3 5 x

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS TASK 2 (LEVEL 6) 1) Find the value of x in each of these brick wall problems: (c) (a) (b) 22 19 21 x + 3 x + 5 3x 4x x + 3 2x + 5 3 5 x x 2x 3x x x 2x 27 31 45 (f) (d) (e) 3x x + 7 2x + 4 x + 3 2x + 4 2x + 5 x x x 7 3 x + 4 2x x + 4 x + 5

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS EXTENSION (LEVEL 6) 1) Find the value of x in each of these brick wall problems: 93 39 (b) (a) 5x - 2 6x - 3 5x + 2 6x + 3 2x 3x - 2 2x 3x + 2 3x - 1 3x + 1 x x x + 1 2x + 1 x - 1 2x - 1 x - 1 x + 1 51 135 (d) (c) 7x + 13 10x + 4 6x - 2 8x - 3 3x + 5 4x + 8 7x - 1 3x 3x - 2 5x - 1 5x x + 6 2x - 1 3x 3x + 2 x - 1 2x - 1 2x + 1

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS MINI-PLENARY 1 – SPOT THE MISTAKE 43 x + 7 2x + 7 x 7 2x x + 7 2x + 7 + = 43 3x + 7 = 43 - 7 - 7 3x 36 = ÷ 3 ÷ 3 x 12 =

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS MINI-PLENARY 2 – SPOT THE MISTAKE 33 7x + 3 7x + 2 3x + 1 3x 4x + 2 x - 2 x + 1 2x 2x + 2 7x + 3 7x + 2 + = 33 7x + 5 = 33 - 5 - 5 7x 28 = ÷ 7 ÷ 7 x 4 =

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately solve algebra brick wall problems. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? BRICK WALL PROBLEMS PLENARY ACTIVITY – ASSESSING UNDERSTANDING 40 3x + 2 x + 2 2 2 2 3x x 2 2 ADD ADD Work out the value of x. x + 2 3x + 2 + = 40 2 2 + 4 = 40 x - 4 - 4 = 9 4x 4x x 2 2 2 = 36 x 3 or -3 = ÷ 4 ÷ 4 9 =

  13. 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 solving algebraic brick wall problems. It can be a skill or a reflection, or something else that might be prominent in your brain.

  14. 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

  15. 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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