Which ones are you using?

1. Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Real life cross/curricular links? Where are we in our journey? Which ones are you using? PLT Skills LESSON OBJECTIVES Always aim high! We are learning to: • Finding connections between different words. (Which PLT skills?) • Accurately divide amounts into given ratios. (Grade C) AUTHOR www.mistrymaths.co.uk

2. Which ones are you using? BRAIN IN GEAR Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Subtract Multiple Integer EXTENSION As a creative thinker, develop your own Mathematical anagrams as above.

3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK 1 2 ÷ Write as a single power: 3 ÷ 3 Write as a single power: 9 x 9 Find: 10% of £23 1) 2) 4) 3) 7 5 6 9 5 5 Write 0.3 as a percentage Find 40% of 60km 5) 6) 7) of £36 2 2 2 2t + 8t = 3t + 6t = t + 14t EXTENSION 2 3 Expand and simplify: 3t(t + 2) – 2t(t – 4) -

4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills RATIO OF AMOUNTS : means ‘to’ in Mathematics Parts Parts EXAMPLES Add parts Add parts Divide 77kg in the ratio 2:4:5 Divide £32 in the ratio 5:3 (a) (b) = 8 = 11 5 + 3 2 + 4 + 5 of £20 of 14kg £32 = 77kg = x x x x x 2 4 3 5 5 ÷ ÷ ÷ ÷ ÷ 11 11 11 8 8 of £12 of 28kg £32 = 77kg = 35kg of 77kg =

5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills RATIO OF AMOUNTS TASK 1 (GRADE C) TASK 2 (GRADE C) 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 j) 200 kg in the ratio 15 : 9 : 1 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) £100 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 j) 200 kg in the ratio 15 : 9 : 1 EXTENSION (GRADE C) 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?

6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills RATIO OF AMOUNTS MINI-PLENARY Add parts The ratio of female to male members of a tennis club is about 2 : 7. The total number of members of the club is 108. How many members are female and how many are male? Take the Maths out of the question Divide 108 in the ratio 2:7 x x = 9 2 + 7 7 2 ÷ ÷ 24 female of 108 = 9 9 84 male of 108 =

7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately divide amounts into given ratios. What grade are we working at? DISCOVERY PLT Skills

8. PLENARY ACTIVITY $60 in the ratio 5:1 Answer: $50 : $10 TRUE FALSE Stand Up Remain Seated

9. PLENARY ACTIVITY 34kg in the ratio 4:3 Answer: 20kg : 15kg TRUE FALSE Stand Up Remain Seated

10. PLENARY ACTIVITY 99m in the ratio 6:5 Answer: 54cm : 45cm TRUE FALSE Stand Up Remain Seated

11. What grade 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 dividing amounts into given ratios. It can be a skill or a reflection, or something else that might be prominent in your brain.

12. 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

13. 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