1. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. Ratio & Proportion Indirect Proportion Ratio Calculations www.mathsrevision.com Direct Proportion Sharing in a Ratio

2. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3. N5 Num 25-Dec-15Created 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. 2.Show appropriate working. Ratio Calculations Ratio & Proportion

4. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 Ratio & Proportion

5. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 Ratio & Proportion

6. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Department Now try N5 Lifeskills Ex 1 Ch7 (page 64) www.mathsrevision.com Are you on Target ? I can ? Ratio & Proportion

7. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

8. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning to calculate proportional division. Ratio & Proportion Proportional Division 1. Solve problems using appropriate layout. 2. Show appropriate working.

9. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example : Bill and Ben share a raffle win of £400 in the ratio 3:5. How much does each get ? Raffles £ 8 → 400 3 → Are we expecting more or less Make smaller fraction Ratio & Proportion Bill 2 5 0 Ben£250 Check ! 150 + 250 = 400 Proportional Division

10. N5 Num Example : Ryan and Ross share 24 cakes in the ratio 3:1. How many cakes does each get ? www.mathsrevision.com Ratio & Proportion 25-Dec-15Created by Mr. Lafferty Maths Dept. RatioCakes 4 →24 3 → Are we expecting more or less Make smaller fraction Ryan 6 Ross6 Check ! 18 + 6 = 24 Proportional Division

11. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Department Now try N5 Lifeskills Ex 2 Ch7 (page 66) www.mathsrevision.com Ratio & Proportion

12. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

13. N5 Num 25-Dec-15Created 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. 2. Solve simple proportional problems. Direct Proportion Ratio & Proportion

14. N5 Num Example :The cost of 6 cakes is £4.20. Find the cost of 5 cakes. 25-Dec-15Created 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 25-Dec-15 No. of cakes £ 6 → 4.20 5 → Are we expecting more or less Make smaller fraction

15. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 Ratio & Proportion

16. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com 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 Ratio & Proportion

17. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Department Now try N5 Lifeskills Ex 3 Ch7 (page 67) www.mathsrevision.com Ratio & Proportion

18. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com x x x x x x x x y

19. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning the term Inverse Proportion. 1. Understand the idea of Inverse Proportion. Ratio & Proportion 2. Solve simple inverse proportion problems. Inverse Proportion

20. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Ratio & Proportion Inverse proportion is when one quantity doubles and the other halves. The two quantities are said to be INVERSELY PROPORTIONAL or (INDIRECTLY PROPORTIONAL) to each other. Inverse Proportion

21. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Indirect Proportion Example : If it takes 3 men 8 hours to build a wall. How long will it take 4 men. MenHours 3 →8 4 → Are we expecting more or less Make smaller fraction Ratio & Proportion

22. N5 Num 25-Dec-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Indirect Proportion Example : It takes 10 workers 12 months to build a house. How long should it take 8 men. WorkersMonths 10 →12 8 → Are we expecting more or less Make bigger fraction Ratio & Proportion

23. N5 Num Indirect Proportion Ratio & Proportion 25-Dec-15Created by Mr. Lafferty Maths Department Now try Lifeskills Ex 5 Ch7 (page 69) www.mathsrevision.com Have you updated your Learning Log ? Are you on Target ? I can ? Are you on Target ? I can ?