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Enhancing Mathematical Learning Skills: Multiply and Divide Fractions (Levels 5-6)

This lesson aims to enhance mathematical learning skills by accurately multiplying and dividing fractions at levels 5-6. Students will develop as creative entrepreneurs, independent learners, reflective learners, responsible citizens, positive thinkers, and team workers.

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Enhancing Mathematical Learning Skills: Multiply and Divide Fractions (Levels 5-6)

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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 multiply and divide fractions. (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: Share Product Of 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 90th term of: 6, 10, 14, 18, ….. Write 0.36 as a fraction: - + 3 1 18 9 2 1 7 11 36 8 15 8 15 = = 15 100 8 25 50 5 3 8 4 13 2) Write as a decimal and percentage 25 +4 +4 +4 4n 0.52 + 2 = 52% = 3) Work out the following: 4 x 90 + 2 90th Term = X 3 X 5 X 2 90th Term = 362 (a) (b) + - X 3 X 5 X 2 6 5 7 6 2) = = 1 3 2 5 5 5 = = 33° 4) Work out the following for the word: RECIPROCAL (a) (b) (c) P(C) = P(Vowel) = P(Consonant) = Interior angles add to 180° 147°

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MULTIPLYING FRACTIONS EXAMPLES 5 6 1 7 2 5 3 3 7 7 2 5 3 3 2 1 3 12 6 of x of x x x x (b) (a) (c) (d) 36 28 20 12 56 40 1 4 4 8 7 9 9 8 7 4 3 4 5 8 of → x of → x 1 6 ÷ 3 ÷ 2 ÷ 2 = = = = ÷ 2 ÷ 2 ÷ 3 = = = 10 21 = = (e) Any whole number can be written as a fraction over one 3 x = 4 18 = 4 2 1 4 4 = = 4 2

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? MULTIPLYING FRACTIONS TASK (LEVEL 5) 1) Multiply the following fractions: 4 9 3 5 6 9 7 8 3 1 1 1 10 21 10 4 8 6 9 x x x x x 2 15 32 6 X 30 30 10 15 20 8 6 4 7 X X X X X X (d) 8 6 12 10 1 1 8 1 1 7 6 1 4 (c) X (b) (a) 2 1 1 1 = = = = (h) (g) (f) (e) = = = = 5 2 2 1 2 1 3 1 1 1 7 1 3 1 1 1 2 2 15 = = = 4 6 4 5 5 2 3 6 4 5 5 3 4 3 8 2 EXTENSION (LEVEL 6) 1) Multiply the following fractions: (a) (e) (b) (c) (d) 3 5 9 7 3 x x x x x = = = = = 7 6 4 10 8 1 1 1 1 18 4 45 30 72 28 7 3 2 7 7 = = = = = = = = = = 2 7 2 5 2

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? DIVIDING FRACTIONS EXAMPLES 1 1 5 2 3 7 1 5 3 3 5 2 3 5 ÷ ÷ ÷ ÷ ÷ (a) (b) (c) (d) 4 20 4 4 1 3 7 5 5 25 5 4 15 28 9 1 4 5 9 3 3 8 5 4 4 4 16 27 2 8 2 3 3 1 3 3 9 9 18 x x x x = = = = = = = = 3 1 (e) = 15 Any whole number can be written as a fraction over one 1 1 = 5 ÷ = x = =

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? DIVIDING FRACTIONS TASK (LEVEL 6) 1) Divide the following fractions: 2 2 5 2 4 4 2 5 7 6 7 1 2 1 3 7 ÷ ÷ ÷ 18 3 2 5 7 5 ÷ ÷ ÷ ÷ 28 18 5 5 6 6 18 40 35 40 63 4 6 5 3 5 6 3 2 ÷ (d) 3 6 5 5 7 9 3 3 8 9 8 7 (c) (b) (a) 5 1 1 2 4 1 3 1 3 5 4 3 2 8 2 5 4 2 5 3 X X X X X X X X = = = = = = = = = = = = 3 1 1 3 2 7 1 1 (h) (g) (f) (e) = = = = = = 1 1 1 1 7 3 3 3 1 1 1 4 1 5 1 2 2 1 1 24 25 8 6 = = = = 4 4 5 6 3 5 6 3 5 3 2 5 3 2 8 2 EXTENSION (LEVEL 6) 1) Divide the following fractions: 6 8 7 5 5 ÷ ÷ (d) (e) ÷ ÷ ÷ (c) (a) (b) 1 1 1 1 1 x x x x = = x = = = 6 8 5 7 5 1 1 2 4 7 5 2 = = = = = = = 10 9

  9. MINI-PLENARY ACTIVITY – CATCHPHRASE 1/2 x 1/2 1/5 ÷ 1/3 2/5 x 1/7 1/4 x 2/7 5/8 ÷ 2/3 1/3 ÷ 2/3 1/6 x 2/3 3/4 x 1/5 3/10 x 3/8 1/12 ÷ 2/12 1/9 x 2/3 6 x 1/10 2/4 x 1/3 1/5 ÷ 2 6/11 x 2/6 9/11 x 1/4 2/5 ÷ 3/5 3/5 x 1/7 4/7 x 1/5 5/10 ÷ 11/10 5/11 ÷ 2/3 2/5 x 2/7 3/8 ÷ 7/9 4/5 x 2/7 2/5 ÷ 3/7

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately multiply and divide fractions. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker 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) 10 1 1 1 1 1 1 2 4 6 7 5 1 1 2 1 40 3 2 3 14 5 21 36 7 20 48 8 15 7 9 7 1

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 x 5 3 1 15

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 5 4 x 7 6 10 21

  14. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 ÷ 6 3 1 2

  15. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 ÷ 7 4 4 7

  16. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 x 9 4 1 36

  17. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 5 ÷ 8 1 40

  18. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 5 x 7 5 7

  19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 3 3 x 8 1 1 8

  20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 x 7 2 1 14

  21. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 4 2 ÷ 7 3 6 7

  22. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 ÷ 9 3 1 3

  23. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 x 6 8 1 48

  24. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 8 4 ÷ 9 2 9

  25. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 2 3 x 5 6 1 5

  26. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 1 1 ÷ 15 10 2 3

  27. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Enterprise Skills Which ones are you using? PLENARY ACTIVITY – BINGO Work out: 3 6 ÷ 10 7 7 20

  28. 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 multiplying and dividing fractions. It can be a skill or a reflection, or something else that might be prominent in your brain.

  29. 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

  30. 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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