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Scientific Notation

Calculator. Scientific Notation. Using the calculator and Scientific Notation. Using the calculator for fractions. www.mathsrevision.com. Simplifying Ratios. Ratio & Proportional Division. Calculator. S3.3. Starter Questions. 10cm. www.mathsrevision.com. x cm. 8cm.

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Scientific Notation

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

  2. Calculator S3.3 Starter Questions 10cm www.mathsrevision.com x cm 8cm Created by Mr. Lafferty @www.mathsrevision.com

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

  4. xy 4 0 5 3 1 x Using the calculator S3.3 We can use scientific notation on the calculator. Depending on your calculator you will use one of the following buttons. xy 10x  EXP EE www.mathsrevision.com (you may have to use the shift button) Enter the 5.4x103 into your calculator Calculator Keys Created by Mr. Lafferty @www.mathsrevision.com

  5. xy xy 2 3 0 0 8 6 7 - 1 1 1 5 1 1 x x Using the calculator S3.3 xy 10x  EXP EE (you may have to use the shift button) Not the subtraction button Example: 6.25x10-7 Calculator Keys www.mathsrevision.com Example: 8.31x1011 Calculator Keys Created by Mr. Lafferty @www.mathsrevision.com

  6. xy xy ( 0 0 4 ( 8 ) 6 ) 6 1 = x x 0.5 1 x Using the calculator S3.3 Calculate: 4 x 106 ÷ 8 x 106 It is good practice to put each value in brackets www.mathsrevision.com exe Created by Mr. Lafferty @www.mathsrevision.com

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

  8. Calculator S3.3 Starter Questions y cm www.mathsrevision.com 12 cm 5cm Created by Mr. Lafferty @www.mathsrevision.com

  9. Using the calculator Fractions S3.3 Learning Intention Success Criteria • To be able to use the calculator to calculate fractions. • To show how to do calculation using fractions on the calculator. www.mathsrevision.com Created by Mr. Lafferty @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 www.mathsrevision.com An improper fraction is of the form A mixed number contains whole number and fractions Created by Mr. Lafferty @www.mathsrevision.com

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

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

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

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

  15. Starter Questions www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

  16. Ratios What is a ratio ? Learning Intention Success Criteria • 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. www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

  17. Ratios What is a ratio ? 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 www.mathsrevision.com Note: The ratio of rectangles to triangles is said to be 3 : 2 Created by Mr. Lafferty @www.mathsrevision.com

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

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

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

  21. Ratios Simplifying a ratio ? By first multiplying by ten to get rid of the decimals simplifying the following ratios: (a) 2.2 : 3.3 22 : 33 2 : 3 (b) 1.6 : 9.6 16 : 96 1 : 6 www.mathsrevision.com (c) 0.5 : 100 5 : 1000 1 : 200 (d) 8.5 : 9.5 85 : 95 17 : 19 Created by Mr. Lafferty @www.mathsrevision.com

  22. Ratios Simplifying a ratio ? By eliminating the fractions simplify the ratios. Multiply each side by 4 2 : 3 Multiply each side by 35 5 : 21 www.mathsrevision.com Multiply each side by 12 8 : 21 Created by Mr. Lafferty @www.mathsrevision.com

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

  24. Starter Questions 9 8 www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com

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

  26. Ratios Ratio & Proportional Division 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 www.mathsrevision.com Step 2 : Each share is worth : Check ! 150 + 250 = 400 Step 3 : Bill gets 3 x 50 = £150 Ben gets 5 x 50 = £250 Created by Mr. Lafferty @www.mathsrevision.com

  27. Ratios Ratio & Proportional Division 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 www.mathsrevision.com Step 2 : Each share is worth : Check ! 18 + 6 = 24 Step 3 : Ryan gets 3 x 6 = 18 Ross gets 1 x 6 = 6 Created by Mr. Lafferty @www.mathsrevision.com

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

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