Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratio Simplifying Ratio Ratio Calculations Ratio Direct Proportion Proportion per item

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Understand the term ratio.. 1. We are learning what a ratio. Ratio What is a ratio ?

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratio Ratios can be used to compare different quantities What is a ratio ? Example : There are 2 triangles and 3 rectangles. The ratio of triangles to rectangles is said to be 2 : 3 Note: The ratio of rectangles to triangles is said to be 3 : 2

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratio Find the ratio of Length to Breadth. Find the ratio of length to Perimeter 7 cm 2 cm L : B 2 : 7 P = P = 18 L : P 7 : 18

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratio Find the ratio of Breadth to Area. Find the ratio of Area to Perimeter 7 cm 2 cm B : A 2 : 14 A = 2 x 7 A = 14 cm 2 A : P 14 : 18 A = L x B 1 : 7 7 : 9

Num 4-Mar-16Created by Mr. Lafferty Maths Department Now try Lifeskills Ex 1 Ch8 (page 65) Ratio

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning to simplify a ratio. Ratio 1. Be able to find the HCF to simplify a ratios.

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratio To simplify a ratio we need to find the HCF Simplifying a ratio ? HCF Highest Common Factor HCF = 2 ÷ 2÷ 2 3 : 4 ÷ 4÷ 4 3 : 7 HCF = 4

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratio To simplify a ratio we need to find the HCF Simplifying a ratio ? HCF = 4 ÷ 4÷ 4 13 : 1 ÷ 5÷ 5 16 : 5 HCF = 5 ÷ 4÷ 4 18 : 5 HCF = 4

Num 4-Mar-16Created by Mr. Lafferty Maths Department Now try Lifeskills Ex 2 Ch8 (page 67) Ratio

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.Apply tabular method to solve problems involving ratios. 1 We are learning how to do ratio calculations. Ratios 2.Show appropriate working. Ratio Calculations

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratios Ratio Calculations Example : The ratio of boys to girls is 4:5. If there are 16 boys, how many girls are there. boys girls x 4 x 4

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Ratios Ratio Calculations Example : The ratio of cars to buses is 3:7. If there are 49 buses, how many cars are there. cars buses x 7 x 7

Num 4-Mar-16Created by Mr. Lafferty Maths Department Now try Lifeskills Ex 3 Ch8 (page 69) Ratio Have you updated your Learning Log ? Are you on Target ? I can ?

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1 We are learning the value of one item using proportion. 1.Understand the term per item. Proportion Proportion 2. Solve simple proportional problems. Proportion

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Proportion Proportion Example :The cost of 5 chocolate bars is £8.00. Find the cost of one. If you know the total cost of several items, you can easily find the cost per item ( cost for 1 ). No. of Bars £ 5 → → Per item Are we expecting more or less Make smaller fraction

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Proportion Proportion Example :The cost of 7 DVD’s is £ Find the cost of one. No. of DVD’s £ 7 → → Per item Are we expecting more or less Make smaller fraction

Num 4-Mar-16Created by Mr. Lafferty Maths Department Now try Lifeskills Ex 4 Ch8 (page 71) Proportion

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning the term Direct Proportion. 1. Understand the idea of Direct Proportion. Proportion Proportion 2. Solve simple proportional problems. Direct Proportion

Num Example :The cost of 6 cakes is £4.20. Find the cost of 5 cakes. 4-Mar-16Created by Mr. Lafferty Maths Dept. Proportion Proportion “.. When you double the number of cakes you double the cost.” Two quantities, (for example, number of cakes and total cost) are said to be in DIRECT PROPORTION, if : Direct Proportion 4-Mar-16 No. of cakes £ 6 → → Are we expecting more or less Make smaller fraction

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Proportion Proportion Direct Proportion Example : On holiday I exchanged £30 for $45. How many $ will I get for £50. £ $ 30 → → Are we expecting more or less Make bigger fraction

Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Proportion Proportion Direct Proportion Example : 300 pencils cost £6. How much will 200 cost. Pencil £ 300 → → Are we expecting more or less Make smaller fraction

Num 4-Mar-16Created by Mr. Lafferty Maths Department Now try Lifeskills Ex 5 Ch8 (page 73) Proportion Have you updated your Learning Log ? Are you on Target ? I can ? Are you on Target ? I can ? Mind Map