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We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate ratios of amounts. (Level 6) Always aim.

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Presentation on theme: "We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately calculate ratios of amounts. (Level 6) Always aim."— Presentation transcript:

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

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

3 BRAIN IN GEAR Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? Work out the following Mathematical anagrams: TASK EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur. HARES NOCOL SARTP EXAMPLE DITDIONA can be rearranged to make ADDITION Share Colon Parts

4 4 3 STARTER Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? TASK EXTENSION 1) Write 0.88 as a fraction: 2) Write as a decimal and percentage 100 88 = 22 25 13 20 = 0.65 Work out the following: 3) = 65% (a) 7 2 + 5 2 (b) 9 4 X X 5 X 7 35 + 10 14 = = 35 24 36 12 = = 3 1 4) 1) Find the nth term and 100 th term of: -6, -1, 4, 9, ….. Work out the following: 8 3 of £32 9 5 of 3days (b) ÷ x = £12 ÷ x 72 hours = 40 days 2) +5 5n - 11 100 th Term = 5 x 100 - 11 100 th Term =489 Use a calculator to write the following as percentages: (a) 61 out of 140 (b) 26 out of 80 140 61 X 100 = 43.6% 80 26 X 100 = 32.5%

5 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO EXAMPLES (a)(b) Divide £32 in the ratio 5:3 Divide 77kg in the ratio 2:4:5 5 + 3 Add parts = 8 5 8 of : means ‘to’ in Mathematics £32 = ÷ x £20 Parts 3 8 of £32 = ÷ x £12 Parts 2 + 4 + 5 Add parts = 11 2 11 of 77kg = ÷ x 14kg 4 11 of 77kg = ÷ x 28kg 5 11 of77kg = ÷ x 35kg

6 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO TASK 1 (LEVEL 6) – CARD SORT £80 is shared into the ratios as shown by the cards on the left. Match them up to their correct amounts on the right. 3:1 13:7 3:2 9:7 5:3 £60 and £20 £52 and £28 £48 and £32 £45 and £35 £50 and £30

7 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO TASK 2 (LEVEL 6) Divide the following amounts according to the given ratios. a) 30 g in the ratio 2 : 3 b) 42 kg in the ratio 2 : 5 c) 80 in the ratio 3 : 7 d) 40 km in the ratio 19 : 1 e) 48 hours in the ratio 7 : 5 f) £100 in the ratio 2 : 3 : 5 g) £140 in the ratio 3 : 5 : 12 h) 96 g in the ratio 1 : 5 : 6 i) 75 miles in the ratio 7 : 10 : 8 7 + 5 Add parts = 12 7 12 of 48hours = ÷ x 28hours 5 12 of 48hours = ÷ x 20hours 7 + 10 + 8 Add parts = 25 7 25 of 75miles = ÷ x 21miles 10 25 of 75miles = ÷ x 30miles 8 25 of75miles = ÷ x 24miles

8 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO TASK 3 (LEVEL 6) 7 + 10 + 8 Add parts = 25 7 25 of 500p = ÷ x 140p 10 25 of 500p = ÷ x 200p 8 25 of500p = ÷ x 160p Divide the following amounts according to the given ratios. a) 400 g in the ratio 2 : 3 b) 280 kg in the ratio 2 : 5 c) 500 in the ratio 3 : 7 d) 1 km in the ratio 19 : 1 e) 5 hours in the ratio 7 : 5 f) £120 in the ratio 2 : 3 : 5 g) £240 in the ratio 3 : 5 : 12 h) 600 g in the ratio 1 : 5 : 6 i) £5 in the ratio 7 : 10 : 8 7 + 5 Add parts = 12 7 12 of 300mins = ÷ x 175mins 5 12 of 300mins = ÷ x 125mins 1000m 300mins 500p

9 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO TASK 3 (LEVEL 6) – TREASURE HUNT

10 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO TASK 3 (LEVEL 6) – TREASURE HUNT

11 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO TASK 3 (LEVEL 6) – TREASURE HUNT

12 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO EXTENSION (LEVEL 6) – WORDED RATIO QUESTIONS 1) Share £75 between Simon and Grace in the ratio 10 : 5 2) You and your flatmate share the cost of the phone bill in the ratio 4 : 1. The bill is £100. How much do you pay? 3) A lottery syndicate of three people put in their stakes in the ratio 5 : 2 : 1. They win £96800, how will it be shared out? 10 + 5 Add parts = 15 10 15 of £75 = ÷ x £50 5 15 of £75 = ÷ x £25 (Simon) (Grace) 4 + 1 Add parts = 5 4 5 of £100 = ÷ x £80 (You) 5 + 2 + 1 Add parts = 8 5 8 of £96800 = ÷ x £60500 2 8 of £96800 = ÷ x £24200 1 8 of£96800 = ÷ x £12100

13 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO EXTENSION (LEVEL 6) – WORDED RATIO QUESTIONS 4) A business partnership started with one partner putting in £1500 and the other putting in £7500. (a) What is the ratio of their outlay in the simplest terms? (b) At the end of the year the profits were £4260. How were the profits shared out? 5) A new all-weather football pitch is being built by the Parish Council with the aid of a local authority grant in the ratio 5 : 8. If the building costs are £65000, how much does the Parish Council have to pay? 6) A supermarket aims to stock branded goods and their own goods in the ratio 2 : 3. They stock 500 kg of breakfast cereal. a) What percentage of the cereal stock is branded? b) How much of the cereal stock is their own? 2 5 = x20 40 100 = 40% 60% of 500kg = 300kg

14 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO MINI-PLENARY 1 – FUNCTIONAL QUESTION DOG THE BOUNTY HUNTER LELAND If George Navarro is caught by Dog and Leland they will share the $25,000 in the ratio 4:1 between them respectively. How much will each of them receive?

15 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO MINI-PLENARY 1 – FUNCTIONAL QUESTION ANSWER If George Navarro is caught by Dog and Leland they will share the $25,000 in the ratio 4:1 between them respectively. How much will each of them receive? $25000 in the ratio 4:1 4 + 1 Add parts = 5 4 5 of $25000 = ÷ x £20000 Parts 1 5 of $25000 = ÷ x £5000 (Dog) (Leland)

16 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO MINI-PLENARY 2 – FUNCTIONAL QUESTION When Samu was captured in 2005, Dog, Leland and Tim shared $20,000 in the ratio 5:1:4. How much did each of them receive?

17 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? RATIO MINI-PLENARY 2 – FUNCTIONAL QUESTION ANSWER When Samu was captured in 2005, Dog, Leland and Tim shared $20,000 in the ratio 5:1:4. How much did each of them receive? $20000 in the ratio 5:1:4 Parts 5 + 1 + 4 Add parts = 10 5 10 of $20000 = ÷ x $10000 1 10 of $20000 = ÷ x $2000 4 10 of$20000 = ÷ x $8000 (Dog) (Leland) (Tim)

18 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? GAME - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT RATIO 16 is shared in the ratio 1:3 How much is 1 share worth? 4

19 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? GAME - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT RATIO 21 is shared in the ratio 2:5 How much is the 5 share worth? 15

20 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? GAME - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT RATIO 80 is shared in the ratio 3:5 How much is the 3 share worth? 30

21 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? GAME - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT RATIO 88 is shared in the ratio 5:6 How much is the 6 share worth? 48

22 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? GAME - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT RATIO 26 is shared in the ratio 4:9 How much is the 9 share worth? 18

23 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? GAME - BOYS VERSUS GIRLS BALL PIT RACE Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team. BOYS BALL PIT GIRLS BALL PIT RATIO 81 is shared in the ratio 6:3 How much is the 6 share worth? 54

24 DISCOVERY LINK BACK TO OBJECTIVES - Accurately calculate ratios of amounts. Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? What level are we working at?

25 Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? PLENARY ACTIVITY T H S E R M A T U SBS RATIO

26 A F K P U B G L Q V C H M R W D I N S X E J O T Y

27 Share £20 in the ratio 3:1 £15 and £5

28 Share £15 in the ratio 4:1 £12 and £3

29 Share £18 in the ratio 5:1 £15 and £3

30 Share £32 in the ratio 7:1 £28 and £4

31 Share £110 in the ratio 9:1 £99 and £11

32 Share £40 in the ratio 3:2 £24 and £16

33 Share £42 in the ratio 4:3 £24 and £18

34 Share £49 in the ratio 5:2 £35 and £14

35 Share £33 in the ratio 6:5 £18 and £15

36 Share £36 in the ratio 7:5 £21 and £15

37 Share £40 in the ratio 3:2 £24 and £16

38 Share £56 in the ratio 4:3 £32 and £24

39 Share £81 in the ratio 5:4 £45 and £36

40 Share £54 in the ratio 2:7 £12 and £42

41 Share £44 in the ratio 4:7 £16 and £28

42 Share £48 in the ratio 7:5 £28 and £20

43 Share £39 in the ratio 8:5 £24 and £15

44 Share £140 in the ratio 9:5 £90 and £50

45 Share £60 in the ratio 6:9 £24 and £36

46 Share £48 in the ratio 9:7 £27 and £21

47 Share £52 in the ratio 11:15 £22 and £30

48 Share £58 in the ratio 12:17 £24 and £34

49 Share £46 in the ratio 10:13 £20 and £26

50 Share £66 in the ratio 16:17 £32 and £34

51 Share £98 in the ratio 21:28 £42 and £56

52 Draw your brain What have you learnt? In your brain, write or draw everything you can remember about calculating ratios of amounts. It can be a skill or a reflection, or something else that might be prominent in your brain. What level are we working at? Where are we in our journey?

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

54 SELF ASSESSMENT Plenary Activity On your post it notes… Think about how you can improve your work. On your post it notes… Think about how you can improve your work. WWW (What Went Well) EBI (Even Better If) Creative Entrepreneur Responsible Citizen Independent Learner Positive Thinker Team Worker Reflective Learner Enterprise Skills Which ones are you using? www.mistrymaths.co.uk

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