1. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com Scientific Notation www.mathsrevision.com Using the calculator and Scientific Notation Calculator Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 20151 Using the calculator for fractions Simplifying Ratios Ratio & Proportional Division

2. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com Starter Questions www.mathsrevision.com S3.3 10cm 8cm x cm Calculator Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 20152

3. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com www.mathsrevision.com Learning Intention Success Criteria 1.To be able to use the calculator to calculate values using scientific notation. 1.To show how to do calculation using scientific notation on the calculator. Scientific Notation S3.3 Calculator Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 20153

4. Using the calculator www.mathsrevision.com S3.3 We can use scientific notation on the calculator. Depending on your calculator you will use one of the following buttons. xyxy 10 x EXPEE  (you may have to use the shift button) Enter the 5.4x10 3 into your calculator Calculator Keys 5 4 x xyxy 0 3 1 Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com 4

5. Using the calculator www.mathsrevision.com S3.3 xyxy 10 x EXPEE  (you may have to use the shift button) Example: 6.25x10 -7 Calculator Keys 6 2 x xyxy 0 - 1 Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com 5 Example: 8.31x10 11 Calculator Keys 75 8 3 x xyxy 0 1 1 11 Not the subtraction button

6. Using the calculator www.mathsrevision.com S3.3 Calculate: 4 x 10 6 ÷ 8 x 10 6 It is good practice to put each value in brackets Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com 6 4 x xyxy 0 1 6 ( ( x xyxy 0 ) 1 68) x=0.5 exe

7. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com Now try Ex 7.1 and Ex 7.2 Ch 1 (page 10) www.mathsrevision.com 7 Using the calculator

8. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com Starter Questions www.mathsrevision.com S3.3 y cm 5cm 12 cm Calculator Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 20158

9. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com www.mathsrevision.com Learning Intention Success Criteria 1.To be able to use the calculator to calculate fractions. 1.To show how to do calculation using fractions on the calculator. S3.3 Fractions Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 20159 Using the calculator

10. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com www.mathsrevision.com 10 Using the calculator Reminder on fractions A fraction has a numerator and denominator The value of a fraction can be calculated by dividing the numerator by the denominator A proper fraction has a value of less than 1 An improper fraction is of the form A mixed number contains whole number and fractions

11. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com www.mathsrevision.com 11 Using the calculator We can use the calculator when working with fractions The fraction button is : Example 1:Express as a decimal 3 = 4 0.75 Fractions

12. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com www.mathsrevision.com 12 Using the calculator Example 2:Express as a decimal 5 = 10 0.5 = 1┌21┌2 Example 3:Express as a mixed number 7 4 = 1 ┌ 3 ┌ 4 Fractions

13. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com www.mathsrevision.com 13 Using the calculator Example 4:Express as a improper fraction 4 2 = 14 ┌ 3 3 2nd Example 5:Add 4 3 + 5 ┌ 4 ┌ 15 523= Fractions

14. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com Now try Ex 8.1 and Ex 8.2 Ch 1 (page 13) www.mathsrevision.com 14 Using the calculator Fractions

15. www.mathsrevision.com Starter Questions Starter Questions www.mathsrevision.com Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

16. 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. Ratios 2.Calculate and simplify basic ratios. What is a ratio ? Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

17. www.mathsrevision.com Ratios 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 Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015 Created by Mr. Lafferty @www.mathsrevision.com

18. www.mathsrevision.com Ratios Simplifying a ratio is like simplifying fractions Simplifying a ratio ? Fraction : Ratio : Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

19. www.mathsrevision.com Ratios Sometimes we need to multiply to simplify Simplifying a ratio ? Ratio : Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

20. www.mathsrevision.com Ratios When working with ratios, the two units MUST be the same Simplifying a ratio ? Ratio : Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

21. www.mathsrevision.com Ratios By first multiplying by ten to get rid of the decimals simplifying the following ratios: Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com Simplifying a ratio ? (a)2.2 : 3.3 22 : 332 : 3 (b)1.6 : 9.6 16 : 961 : 6 (c)0.5 : 100 5 : 10001 : 200 (d)8.5 : 9.5 85 : 9517 : 19

22. www.mathsrevision.com Ratios By eliminating the fractions simplify the ratios. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com Simplifying a ratio ? 2 : 3 Multiply each side by 355 : 21 Multiply each side by 4 8 : 21Multiply each side by 12

23. Now try Ex 9.1 Ch1 (page 16) www.mathsrevision.com Ratios Simplifying Ratios Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

24. www.mathsrevision.com Starter Questions Starter Questions www.mathsrevision.com 9 8 Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

25. www.mathsrevision.com Learning Intention Success Criteria 1. Explain how to work out Ratio & Proportional division by using shares. 1. Work out the number of shares for a ratio. Ratios Ratio & Proportional Division 2. Solve problems using shares. 3. Show appropriate working. Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

26. www.mathsrevision.com Ratios Example :Bill and Ben share a raffle win of £400 in the ratio 3:5. How much does each get ? Ratio & Proportional Division 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 Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

27. www.mathsrevision.com Ratios Example :Ryan and Ross share 24 cakes in the ratio 3:1. How many cakes does each get ? Ratio & Proportional Division 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 Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com

28. Now try Ex 9.2 Ch1 (page 16) www.mathsrevision.com Ratios Ratio & Proportional Division Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Friday, August 21, 2015Created by Mr. Lafferty @www.mathsrevision.com