Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner

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 solve algebra brick wall problems. (Levels 5 -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: DJTACAEN Adjacent RALEY Layer VINEERS Inverse EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

Positive Thinker Creative Entrepreneur Enterprise Skills TASK 1) Write 0. 24 Independent Learner STARTER as a fraction: 6 24 = 100 25 2) Write 11 20 as a decimal and percentage = 0. 55 = 55% following: 3)Work. X 5 out the X 9 (a) 2 + 1 9 X 5 5 10 45 = + 9 45 X 9 (b) 4 X 5 7 6 = 20 42 19 10 = 45 21 4) Work out the following: x 120 hours x 5 5 of 5 days of £ 54 (b) 12 9 = ÷ = £ 30 ÷ = 50 hours Reflective Learner Responsible Citizen Team Worker Which ones are you using? EXTENSION 1) Find the nth term and 20 th term of: -8, -3, 2, 7, …. . +5 +5 +5 5 n - 13 20 th Term = 5 x 20 - 13 20 th Term = 87 2) Use a calculator to write the following as percentages: (a) 36 out of 160 36 X 100 = 22. 5% 160 (b) 14 out of 65 14 X 100 = 21. 5% 65

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

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

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

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

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

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

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 solve algebra brick wall problems. What level are we working at?

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

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. 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?