1. 9-Jun-15Created by Mr. Lafferty Maths Dept. Simplifying Ratios Ratio Calculations www.mathsrevision.com Proportional Division S4 Ratio

2. 9-Jun-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com S4

3. 9-Jun-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the term ratio.. 1. To understand what a ratio is and explain how we can sometimes simplify them. 2.Calculate and simplify basic ratios. S4 Ratio Simplifying a ratio ?

4. S4 9-Jun-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Ratios can be used to compare different quantities 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 Ratio Simplifying a ratio ?

5. S4 9-Jun-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Simplifying a ratio is like simplifying fractions Fraction : Ratio : Ratio Simplifying a ratio ?

6. S4 9-Jun-15Created by Mr. Lafferty Maths Dept. Now try Ex 1&2 Ch11 (page 124) www.mathsrevision.com Ratio Simplifying a ratio ?

7. 9-Jun-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com S4

8. 9-Jun-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Use tabulating method to work out ratios. 1. To show how to do ratio calculations. 2.Show appropriate working. Ratio Calculations S4 Ratio

9. 9-Jun-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

10. S4 9-Jun-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

11. S4 9-Jun-15Created by Mr. Lafferty Maths Dept. Now try Ex 3 Ch11 (page 128) www.mathsrevision.com Ratio Ratio Calculations

12. 9-Jun-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com S4

13. 9-Jun-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. Explain how to work out proportional division by using shares. 1. Work out equal number of shares for a ratio. 2. Solve problems using shares. 3. Show appropriate working. S4 Ratio Sharing Money

14. S4 9-Jun-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 ? Step 1 :Since the ratio is 3:5, there are : 3+5 = 8 shares Step 2 :Each share is worth : Step 3 :Bill gets 3 x 50 = £150 Ben gets 5 x 50 = £250 Check ! 150 + 250 = 400 Ratio Sharing Money

15. S4 9-Jun-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example :Ryan and Ross share 24 cakes in the ratio 3:1. How many cakes does each get ? Step 1 :Since the ratio is 3:1, there are : 3+1 = 4 shares Step 2 :Each share is worth : Step 3 :Ryan gets 3 x 6 = 18 Ross gets 1 x 6 = 6 Check ! 18 + 6 = 24 Ratio Sharing Money

16. S4 9-Jun-15Created by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch11 (page 130) www.mathsrevision.com Ratio Sharing Money