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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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**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**Calculator**S3.3 Starter Questions 10cm www.mathsrevision.com x cm 8cm Created by Mr. Lafferty @www.mathsrevision.com**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**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**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**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**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**Calculator**S3.3 Starter Questions y cm www.mathsrevision.com 12 cm 5cm Created by Mr. Lafferty @www.mathsrevision.com**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**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**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**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**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**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**Starter Questions**www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com**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**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**Ratios**Simplifying a ratio ? Simplifying a ratio is like simplifying fractions Fraction : www.mathsrevision.com Ratio : Created by Mr. Lafferty @www.mathsrevision.com**Ratios**Simplifying a ratio ? Sometimes we need to multiply to simplify Ratio : www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com**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**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**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**Ratios**Simplifying Ratios Now try Ex 9.1 Ch1 (page 16) www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com**Starter Questions**9 8 www.mathsrevision.com Created by Mr. Lafferty @www.mathsrevision.com**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**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**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**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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