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

2. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

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

4. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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

6. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

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

8. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

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

10. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

11. Num www.mathsrevision.com 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

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

13. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

14. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

15. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 45 1620 x 4 x 4

16. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 37 2149 x 7 x 7

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

18. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

19. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

20. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 → 8.00 1 → Per item Are we expecting more or less Make smaller fraction

21. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Proportion Proportion Example :The cost of 7 DVD’s is £66.50. Find the cost of one. No. of DVD’s £ 7 → 66.50 1 → Per item Are we expecting more or less Make smaller fraction

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

23. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

24. Num 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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

25. Num Example :The cost of 6 cakes is £4.20. Find the cost of 5 cakes. 4-Mar-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 → 4.20 5 → Are we expecting more or less Make smaller fraction

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

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

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