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 write ratios in their simplest form. (Grades E-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: DOD UMPTLYLI EPIMR Odd Multiply Prime EXTENSION Develop your own Mathematical anagrams as above as a creative thinker. 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) 2 5 ÷ 3 4 2) Write as a single power: 5 x 5 3) Write as a single power: 8 ÷ 8 4) Find: 10% of £71 3 8 7 2 5) 5 6 6) Find 80% of 30m 7) Write 0.4 as a percentage of £120 EXTENSION Expand and simplify: 4t(t + 4) – 3t(t – 6) = 4t + 16t 2 - 3t + 18t 2 = t + 34t 2 3

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Simplifying Ratio PLT Skills : means ‘to’ in Mathematics EXAMPLES Express the following ratios in their simplest form: 15kg : 20kg 20p : £1 (a) 3 : 6 (b) (c) ÷3 ÷3 ÷5 ÷5 1 : 2 3kg : 4kg 20p : 100p ÷20 ÷20 1p : 5p (d) (e) A room is divided into a kitchen and dining area in the ratio 5:2. What fraction is the (i) kitchen and (ii) dining area? 5 2 (i) Kitchen = (i) Dining area = Ratio of orange : green? 7 7 8 : 10 ÷2 ÷2 4 : 5 4

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Simplifying Ratio PLT Skills EXTENSION (GRADE C) TASK 1 (GRADE E) TASK 2 (GRADE E) 1) June wins three-quarters of her bowls matches. She loses the rest. What is the ratio of wins to losses? 2)Three brothers share some cash. The ratio of Mark’s and David’s share is 1 : 2 The ratio of David’s and Paul’s share is 1 : 2 What is the ratio of Mark’s share to Paul’s share? Write each of the following ratios of quantities in its simplest form. a) £5 to £15 b) £24 to £16 c) 125g to 300g d) 40 minutes: 5 minutes e) 34 kg to 30 kg f) £2.50 to 70p g) 3 kg to 750 g h) 50 minutes to 1 hour i) 1 hour to 1 day j) 12 cm to 2.5 mm k) 1.25 kg : 500 g l) 75p : £3.50 m) 4 weeks : 14 days Express each of the following ratios in its simplest form. a) 6 : 18 b) 15 : 20 c) 16 : 24 d) 24 : 36 e) 20 to 50 f) 12 to 30 g) 25 to 40 h) 125 to 30 i) 15 : 10 j) 32 : 12 k) 28 to 12 l) 100 to 40 m) 0.5 to 3 n) 1.5 to 4 o) 2.5 to 1.5 p) 3.2 to 4 TASK 3 (GRADE D) 1) A length of wood is cut into two pieces in the ratio 3 : 7. What fraction of the original length is the longer piece? 2) Jack and Thomas find a bag of marbles that they share between them in the ratio of their ages. Jack is 10 years old and Thomas is 15 years old. What fraction of the marbles did Jack get? 3) Dave and Sue share a pizza in the ratio 2 : 3. They eat it all. a) What fraction of the pizza did Dave eat? b) What fraction of the pizza did Sue eat? 4) The recipe for a pudding is 125 g of sugar, 150 g of flour, 100 g of margarine and 175 g of fruit. What fraction of the pudding is each ingredient? 5

Which ones are you using? Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Team Worker Which ones are you using? Simplifying Ratio PLT Skills MINI-PLENARY 1) Work out the ratio of colours below in their simplest form. Blue : Green : Pink 6 : 2 : 4 3 : 1 : 2 2) The mixture of red paint to blue paint is 4:6. Write each part as a fraction. 4 6 Red = Blue = 10 10 2 3 Red = Blue = 5 5 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 write ratios in their simplest form. What grade are we working at? 7

TRUE FALSE PLENARY ACTIVITY The ratio 8:10 Simplifies to 4:5 Stand Up Remain Seated

TRUE FALSE PLENARY ACTIVITY The ratio 50p:£1 Simplifies to 50:1 Stand Up Remain Seated

TRUE FALSE PLENARY ACTIVITY The ratio 3:2 Can be written as and 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 writing ratios in their simplest form. 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