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Which ones are you using?

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:

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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 simplify ratio and calculate proportions. (Levels 4-5) 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: Simplify Ratio Proportion 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 100th term of: -5, 2, 9, 16, ….. Write 0.72 as a fraction: + 2 18 22 78 3 4 3 7 2 3 72 1 12 32 12 = 130 60 16 12 100 25 4 8 6 8 7 4 12 2) Write as a decimal and percentage 25 +7 +7 +7 7n 0.48 - 12 = 48% = 3) Work out the following: 7 x 100 - 12 100th Term = X 2 X 3 100th Term = 688 (a) (b) + X X 2 X 3 2) Use a calculator to write the following as percentages: 3 4 6 = = (a) 78 out of 130 = = 60% 100 = X 4) Work out the following: 48 hours x x (b) 22 out of 60 2days £42 of of (b) 100 36.7% = ÷ ÷ X £24 18 hours = =

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? RATIO Use it when sharing things out. Use it when comparing one part with another (same units). Written with a colon between two numbers e.g. 5:2, 3:1, 3:8 EXAMPLES 1 1) (a) What is the ratio of BMW to Audi? (b) What proportion are BMW? BMW : Audi 5 8 cars altogether BMW = : 5 3 8

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? RATIO Use it when sharing things out. Use it when comparing one part with another (same units). Written with a colon between two numbers e.g. 5:2, 3:1, 3:8 EXAMPLES 1 2) (a) What is the ratio of Samsung to Iphone? (b) What proportion are Samsung? Samsung : Iphone 4 9 phones altogether Samsung = : 5 4 9

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? RATIO Use it when sharing things out. Use it when comparing one part with another (same units). Written with a colon between two numbers e.g. 5:2, 3:1, 3:8 EXAMPLES 1 3) (a) What is the shoe ratio of ladies to mens? (b) What proportion are men’s shoes? Ladies : Mens 8 shoes altogether 1 2 ÷2 : 2 6 = Men’s shoes = ÷2 ÷2 4 8 ÷2 : 1 3

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Draw a 3 x 3 grid as shown below: Place any nine of the below into the grid (repeats forbidden) 4:5 1:2 3:4 5:6 3:1 2:3 2:7 8:1 2:1 5:2 1:9 5:3 1:3 3:4 3:2 10:7

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of bottles to cups: 5:2

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of kindles to books: 2:7

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of ligers to tigons: 4:5

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of samosas to dosas: 10:7

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Buddhas to Hanumans: 3:4

  14. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Johnsons to Goves: 1:3

  15. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Harmoniums to Accordions: 5:3

  16. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of scientific to basic calculators: 8:1

  17. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of gramophones to hi-fis: 3:1

  18. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of commodores to spectrums: 3:2

  19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of mullets to afros: 1:2

  20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Chuck Norris’ to Bruce Lees: 2:3

  21. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Mr Motivators to Timmy Mallets: 2:1

  22. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Bananamans to Desperate Dans: 3:4

  23. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) - BINGO Write the ratio of Conservatives to Labour: 5:6

  24. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 2 (LEVEL 4) – MATCHING ACTIVITY Simplify the ratios and match them with their respective answers: (h) 9:15 (g) 20:5 (c) 6:8 (b) 10:5 (f) 4:6 (e) 2:6 (a) 6:4 (d) 8:20 (p) 8:14 (o) 3:12 (j) 3:6 (i) 5:5 (k) 9:3 (l) 2:10 (q) 12:15 1:4 4:7 2:1 2:5 3:5 3:2 1:1 1:5 4:5 4:1 2:3 3:4 3:1 1:3 1:2

  25. TASK 3 (LEVEL 4) – SIMPLIFYING RATIO CATCHPHRASE 2:4 5:15 2:5 15:48 5:70 3:9 6:12 12:36 24:60 10:12 9:90 14:70 22:99 120:25 6:6 9:117 10:45 3:18 4:17 5:100 5:65 4:10 6:18 4:15 2:70

  26. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 4 (LEVEL 5) 2) 1) 2:4 6:2 1:2 3:1 2:10 4:3 4:3 1:5 8:3 15:3 8:3 5:1 3:3 3:6 1:2 1:1

  27. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 5 (LEVEL 5) – CARD SORT Match the picture with it’s respective ratio and proportion.

  28. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 5 (LEVEL 5) – CARD SORT ANSWERS Match the picture with it’s respective ratio and proportion.

  29. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? EXAMPLES 2 (a) A fruit drink is made by mixing lemon squash with water in the ratio 4:5. How much water needs to be added to 28cl of lemon squash to make the drink? SQUASH : WATER 4 : 5 x 7 x 7 : 35cl ? 28cl Therefore, 35cl of water needs to be added to make the drink. (b) To make Squirrel Grey paint, you need to mix Snow White and Beetle Black together in a ratio of 3:2. How much Snow White will you need if you’re using 18 litres of Beetle Black? WHITE : BLACK 3 : 2 x 9 x 9 : 27litres 18litres ? Therefore, 27litres of Snow White needs to be mixed to make Squirrel Grey.

  30. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? EXTENSION 1 (LEVEL 5) TASK 6 (LEVEL 5) 1) The ratio of male to female spectators at ice hockey games is 4 : 5. At the Steelers’ last match, 4500 men watched the match. What was the total attendance at the game? 2) A teacher always arranged the content of each of his lessons to Year 10 as ‘teaching’ and ‘practising learnt skills’ in the ratio 2 : 3. a) If a lesson lasted 35 minutes, how much teaching would he do? b) If he decided to teach for 30 minutes, how long would the lesson be? 3) A ‘good’ children’s book is supposed to have pictures and text in the ratio 17 : 8. In a book I have just looked at, the pictures occupy 272 pages. a) Approximately how many pages of text should this book have to be deemed a ‘good’ children’s book? b) What percentage of a ‘good’ children’s book will be text? 1) In a room, the ratio of men to women is 4:1. If there are 20 men, how many women are there? 2) In a box, the ratio of nails to screws is 5:3. If there are 15 nails, how many screws are there? 3) An alloy consists of copper, zinc and tin in the ratios 1:3:4. If there is 10g of copper in the alloy, find the weights of zinc and tin. 4) In a shop the ratio of oranges to apples is 2:5. If there are 60 apples, how many oranges are there? 5) In a train the ratio of adults to children is 7:2. If there are 126 adults, how many children are there? 5625 5 women 10125 9 screws 14 minutes 75 minutes 30g zinc 40g tin 24 oranges 128 pages 36 children 32%

  31. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? EXAMPLES 3 1) The recipe to make stuffed chicken Parma parcels is shown below: QUESTION Write down the recipe to serve 20 people. Stuffed chicken Parma parcels Serves 4 4 chicken legs, skinned and boned 50g dried porcini mushrooms2 shallots, finely chopped50g butter2 garlic cloves, crushed150g baby spinach100g mozzarella cheese, grated250g ricotta cheese8 slices of Parma ham 3 tbsp olive oil 1 tsp balsamic vinegar x5 Serves 20 x5 20 chicken legs, skinned and boned x5 250g dried porcini mushrooms x5 10 shallots, finely chopped x5 250g butter x5 10 garlic cloves, crushed x5 750g baby spinach x5 500gmozzarella cheese, grated x5 1250g ricotta cheese x5 40 slices of Parma ham x5 15 tbsp olive oil x5 5 tsp balsamic vinegar

  32. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? EXAMPLE 3 2) The recipe to make chocolate cake is shown below: QUESTION Write down the recipe to serve 7 people. Chocolate Cake Serves 2 150ml milk 200ml double cream2 tbsp cocoa powder2 tbsp honey200g couscous55g butter3 egg whites2tbsp caster sugar ÷2 x7 Serve 1 Serves 7 2 is not a factor of 7, so what do we do? x7 525ml milk 75ml milk ÷2 ÷2 x7 700ml double cream 100ml double cream May help to find 1 serving and mutliply by ……. x7 ÷2 7tbsp cocoa powder 1tbsp cocoa powder 7 x7 7tbsp honey ÷2 1tbsp honey x7 700g couscous 100g couscous ÷2 x7 192.5g butter 27.5gbutter ÷2 x7 10.5 eggs ÷2 1.5 eggs x7 7tbsp caster sugar ÷2 1tbsp caster sugar

  33. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 7 (LEVEL 5) 1) The recipe to make flapjacks is shown below: Flapjacks Serves 10 120g butter100g dark brown soft sugar4 tbsp golden syrup250g rolled oats40g sultanas or raisins How much of each ingredient would you need to make flapjacks for: x3 ÷5 (a) 30 people? (b) 2 people? ÷10 (c) 9 people? x9 360g butter 24g butter 108g butter 300g dark brown soft sugar 20g dark brown soft sugar 90g dark brown soft sugar 12 tbsp golden syrup 0.8 tbsp golden syrup 3.6 tbsp golden syrup 750g rolled oats 50g rolled oats 225g rolled oats 120g sultanas or raisins 8g sultanas or raisins 36g sultanas or raisins

  34. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 7 (LEVEL 5) 2) The recipe to make tomato soup is shown below: Tomato Soup Serves 6 30g butter1 chopped onion2 tbsp plain flour1200ml tomato juice480ml milk How much of each ingredient would you need to make flapjacks for: x4 ÷2 (a) 24 people? (b) 3 people? ÷6 (c) 7 people? x7 120g butter 15g butter 35g butter 4 chopped onions 0.5 chopped onion 1.17 chopped onion 8 tbsp plain flour 1 tbsp plain flour 2.34 tbsp plain flour 4800ml tomato juice 600ml tomato juice 1400ml tomato juice 480ml milk 240ml milk 560ml milk

  35. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? TASK 7 (LEVEL 5) 3) The recipe to make tomato soup is shown below: Shortbread Biscuits Serves 6 240g butter, softened90g caster sugar0.75 tsp ground allspice0.5 tsp salt420g plain flour How much of each ingredient would you need to make flapjacks for: x12 (a) 72 people? (b) 2 people? ÷3 ÷6 (c) 10 people? x10 2880g butter, softened 80g butter, softened 400g butter, softened 1080g caster sugar 30g caster sugar 150g caster sugar 9 tsp ground allspice 0.25 tsp ground allspice 1.25 tsp ground all spice 6 tsp salt 0.17 tsp salt 0.83 tsp salt 5040g plain flour 140g plain flour 700g plain flour

  36. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? EXTENSION 2 (LEVEL 6) 1) The knifes and forks are out as you compete on ‘Come Dine With Me’ with strangers for the title of ultimate dinner party host for £1000. Using the internet or a recipe book, come up with a winning three course meal that you would like to serve. Work out how much of each ingredient you would need to feed four people.

  37. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS SQUASH : WATER 3 : 7 x 7 x 7 : ? 21cl Correct!  56cl 49cl A) B) 17cl 42cl C) D)

  38. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 4 NAILS : SCREWS : 5 x 5 x 5 : ? 20 24 20 A) B) Correct!  25 30 C) D)

  39. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 6 POTS : PANS : 10 x 11 x 11 : ? 66 Correct!  110 111 A) B) 1010 100 C) D)

  40. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS 3 BIKES : CARS : 15 x 6 x 6 : ? 18 30 150 A) B) Correct!  90 60 C) D)

  41. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS A recipe requires 3 eggs for 6 people. How many eggs would be required for 36 people? 27 16 A) B) Correct!  12 18 C) D)

  42. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? MINI-PLENARY ACTIVITY – AFL CARDS A recipe requires 40g of butter for 8 people. How much butter would be required for 2 people? Correct!  10g 20g A) B) 160g 5g C) D)

  43. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately simplify ratio and calculate proportions. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  44. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker RATIO Enterprise Skills Which ones are you using? PLENARY ACTIVITY – EXAM QUESTION Leah, Chloe and Maya share £400 between them. Leah receives the smallest amount of £90. The ratio of Leah’s share to Chloe’s share is 2:3. Work out how much Maya receives. £400 - £90 = £310 Total of Chloe and Maya’s share Leah : Chloe Leah = £90 2 : 3 Chloe = £135 x 45 x 45 : 135 90 ? £400 - £90 - £135 Maya = £175 Maya = (3 marks)

  45. 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 simplifying ratio and calculating proportions. It can be a skill or a reflection, or something else that might be prominent in your brain.

  46. 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

  47. 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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