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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! LESSON OBJECTIVES Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? AUTHOR Where are we in our journey? Real life cross/curricular links? www.mistrymaths.co.uk

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

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

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Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? CALCULATING WITH RATIO 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? (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 youre using 18 litres of Beetle Black? x 7 5 4 SQUASH : WATER 28cl x 7 : : ? 35cl Therefore, 35cl of water needs to be added to make the drink. x 9 2 3 WHITE : BLACK 18litres x 9 : : ? 27litres Therefore, 27litres of Snow White needs to be mixed to make Squirrel Grey.

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Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? 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? CALCULATING WITH RATIO 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 childrens 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 childrens book? b) What percentage of a good childrens book will be text?

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Effective Participator Self Manager Independent Enquirer Creative Thinker Team Worker Reflective Learner PLT Skills Which ones are you using? MINI-PLENARY RATIO OF AMOUNTS 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? x 17 8 3 FEMALE : MALE 51 x 17 : : ? 136 Therefore, 136 members of the tennis club are male.

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

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

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

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PLENARY ACTIVITY Stand UpRemain Seated TRUEFALSE 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.

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Draw your brain What have you learnt? 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. What grade are we working at? Where are we in our journey?

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. How well do you understand the task? I dont 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

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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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