Identify notation denoting ratio Calculate ratios of amounts

• Identify notation denoting ratio. • Calculate ratios of amounts. • Order and compare common fractions, decimals and percentages to ratio. E 2 Recognise ratio notation, write quantities as a ratio. E 3 Calculate number of parts in a ratio and calculate unitary part. L 1 Work out simple ratio and direct proportion, use simple ratio expressed in the form of three parts to one part, scale quantities by a factor of two, find whole number parts of quantities and measurements without calculator. L 2 Use ratio to compare amounts and quantities, reduce ratios to simplest form, calculate ratio and direct proportion. Calculate the number of parts in a ratio, use ratio in the form a: b: c.

• Emoji pre-algebra puzzle Ratio • Topic introduction and objectives – links to daily life and study • Recap questions, 10 minutes • Co-Ed(s) present to support with reading, writing, encouragement and maintaining focus • Coloured paper available • Variety of tasks/games for reinforcement • Peer support • Explore ratio with manipulatives • Simplify simple ratio with manipulatives • • Converting units in ratio Write given quantities as ratio Recognise notation Simplify two and three part ratios Calculate unitary part Calculate shared parts Compare ratios • Calculating unitary values • Mixing paint ratio experiment – calculating correct ratios and extending. • Colour proportion as ratio, mixing colours • Daily life ratio examples – money and mixing drinks • Quiz to review unitary part and sharing • • Class charter Equipment Books Any timetable changes, absences etc • • Identifying mistakes in own work Less reliance on support and staff checking Providing peer support without realising Contributing to class discussions and providing answers, faster responses Clear interest Referring back to previous notes Familiarity with new routines, habits and methods Increased confidence with new topics/methods • • Everyday application of topics Peer support Find and correct errors Evaluate shortcomings or potential issues • Prove and disprove ideas and methods • Levelled tasks • Power. Point • Interactive applets • Maths. Bot, Connect 4, Countdown, Play Your Cards Right etc. • Stationery and Maths books • Number revision • Non-calculator methods practice

This week: • Ratio • Rounding recap Carly Hill Maths

Why do I need to know this? • Helps you practice division, multiplication • Will help you understand proportion When will I need to use this? • When sharing money • When creating a budget • When mixing – paint, recipes, drinks

10 Minute Recap • What is 14. 26 rounded to the nearest 10? • What is 179. 2 rounded to the nearest 100? • What is 1926. 1 rounded to the nearest 1000? • What is 1, 499, 602. 446 rounded to the nearest whole number? • What is 1286. 002 rounded to the nearest 10?

Ratio A ratio compares sizes of quantities. What is the ratio of red counters to blue counters? red : blue =9: 3 =3: 1 For every three red counters there is one blue counter.

Ratio The ratio of blue counters to red counters is not the same as the ratio of red counters to blue counters. What is the ratio of blue counters to red counters? blue : red =3: 9 =1: 3 For every blue counter there are three red counters.

Ratio What is the ratio of red counters to yellow counters to blue counters? red : yellow : blue = 12 : 4 : 8 = 3 : 1 : 2 For every three red counters there is one yellow counter and two blue counters.

Share £ 120 in the ratio 2: 1 Answer 3 questions: a) How many shares are there? 2: 1 = 2 + 1 = 3 b) How much is 1 share worth? £ 120 ÷ 3 = £ 40 c) How much do they get? 2 x 40 = £ 80 1 x 40= £ 40 £ 80 : £ 40

Share £ 300 in the ratio 1: 2: 3 Answer 3 questions: a) How many shares are there? 1: 2: 3 = 1 + 2 + 3 = 6 b) How much is 1 share worth? £ 300 ÷ 6 = £ 50 c) How much do they get? 1 x 50 = £ 50 2 x 50 = £ 100 3 x 50 = £ 150 £ 50 : £ 100 : £ 150

Sharing in a ratio Divide £ 40 in the ratio 2 : 3. a) How many shares are there? 2 + 3 = 5 shares b) How much is one share worth? £ 40 ÷ 5 = £ 8 Each part is worth £ 8 so, 2 parts = 2 × £ 8 = £ 16 3 parts = 3 × £ 8 = £ 24. c) How much do they get? £ 16 : £ 24 £ 16 + £ 24 = £ 40

Sharing in a ratio A citrus twist cocktail contains orange juice, lemon juice and lime juice in the ratio 6 : 3 : 1. How much of each type of juice is contained in 750 ml of the cocktail? a) How many shares are there? 6 + 3 + 1 = 10 shares b) How much is one share worth? 750 ml ÷ 10 = 75 ml c) Each part is worth 75 ml, how much do they get? 6 parts of orange juice = 6 × 75 ml = 450 ml 3 parts of lemon juice = 3 × 75 ml = 225 ml 1 part of lime juice = 75 ml

Simplifying ratio ÷ 7 Ratios can be simplified like fractions by dividing each part by the same number. 21 : 35 =3: 5 ÷ 7 6 : 12 : 9 ÷ 3 =2: 4: 3 ÷ 3

Ratio When a ratio uses different units, they need to be converted to compare them fairly. Simplify the ratio 90 p : £ 3. Write the ratio using the same units: 90 p : 300 p Then simplify it: ÷ 30 90 : 300 = 3 : 10 ÷ 30

Ratio Simplify the ratio 0. 6 m : 30 cm : 450 mm. 60 cm : 30 cm : 45 cm 60 : 30 : 45 ÷ 15 =4: 2: 3

£ 20 is shared in the ratio 1: 3 How much is 1 share worth? A) C) £ 4 £ 5 B) D) £ 1 £ 3

£ 30 is shared in the ratio 2: 3 How much is 1 share worth? A) C) £ 1 £ 2 B) D) £ 5 £ 6

£ 18 is shared in the ratio 1: 2 How much is 1 share worth? A) £ 3 B) £ 6 C) £ 2 D) £ 18

£ 45 is shared in the ratio 4: 5 How much is 1 share worth? A) C) £ 5 £ 6 B) D) £ 9 £ 4

£ 20 is shared in the ratio 1: 3 How much is 3 shares worth? A) C) £ 16 £ 3 B) D) £ 12 £ 15

£ 30 is shared in the ratio 2: 3 How much is 3 shares worth? A) £ 12 B) £ 18 C) £ 20 D) £ 15

£ 18 is shared in the ratio 1: 2 How much is 2 shares worth? A) £ 6 B) £ 12 C) £ 3 D) £ 18

£ 45 is shared in the ratio 4: 5 How much is 5 shares worth? A) C) £ 18 £ 25 B) D) £ 15 £ 20

Tom and Ellie share £ 15 in the ratio 1: 2 How much do they each get? A) Tom £ 5 Ellie £ 10 B) Tom £ 10 Ellie £ 5 C) Tom £ 3 Ellie £ 6 D) Tom £ 1 Ellie £ 2

Libby and Grant share £ 42 in the ratio 3: 4 How much do they each get? A) Libby £ 20 Grant £ 22 B) Libby £ 24 Grant £ 18 C) Libby £ 21 Grant £ 28 D) Libby £ 18 Grant £ 24