Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? PLT Skills LESSON OBJECTIVES We are learning to: Finding connections between different words. (Which PLT skills?) Accurately calculate with ratios when only one part of the information is known. (Grade C) Always aim high! Where are we in our journey? Real life cross/curricular links? AUTHOR www.mistrymaths.co.uk

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

Which ones are you using? Creative Thinker Effective Participator STARTER Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? TASK 1) 1 4 ÷ 2 5 2) Write as a single power: 9 x 9 3) Write as a single power: 3 ÷ 3 4) Find: 10% of £92 -2 7 -4 5 5) 3 8 6) Find 80% of 20km 7) Write 0.1 as a percentage of £32 EXTENSION Expand and simplify: 4t(t + 3) – 2t(t – 5) = 4t + 12t 2 - 2t + 10t 2 = 2t + 22t 2 3

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? CALCULATING WITH RATIO PLT Skills EXAMPLES (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 28cl : 35cl ? 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. 4

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? CALCULATING WITH RATIO PLT Skills TASK 1 (GRADE C) EXTENSION (GRADE C) 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? 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 23 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? 5

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? RATIO OF AMOUNTS PLT Skills MINI-PLENARY The ratio of female to male members of a tennis club is 3 : 8. The total number of females in the club is 51. How many members are male? FEMALE : MALE 3 : 8 x 17 x 17 51 : 136 ? Therefore, 136 members of the tennis club are male. 6

Which ones are you using? Creative Thinker Effective Participator DISCOVERY Independent Enquirer Reflective Learner Self Manager Team Worker PLT Skills Which ones are you using? LINK BACK TO OBJECTIVES Accurately calculate with ratios when only one part of the information is known. What grade are we working at? 7

TRUE FALSE PLENARY ACTIVITY In a room, the ratio of men to women is 7:2. If there are 42 men, there are 12 women. TRUE FALSE Stand Up Remain Seated

TRUE FALSE PLENARY ACTIVITY In a box, the ratio of nails to screws is 8:5. If there are 16 screws, there are 10 nails? TRUE FALSE Stand Up Remain Seated

TRUE FALSE PLENARY ACTIVITY An alloy consists of copper, zinc and tin in the ratios 2:3:5. If there is 20g of copper, there are 30g of tin and 50g of zinc. TRUE FALSE Stand Up Remain Seated

Where are we in our journey? What grade are we working at? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about calculating with ratios when only one part of the information is known. 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 grade are we working at?

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

Creative Entrepreneur Positive Thinker Creative Entrepreneur SELF ASSESSMENT Independent Learner Reflective Learner Responsible Citizen Team Worker 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