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Unformatted text preview: Scientific Notation
Calculator Using the calculator and Scientific Notation www.mathsrevision.com Using the calculator for fractions Simplifying Ratios Ratio & Proportional Division Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 1 Starter Questions
S3.3 Calculator
1. W r it e in s c ie nt if ic no t at io n www.mathsrevision.com (a) 2 3 0 0 ( b ) 0 .0 0 5 3 4 ( c ) 5 6 9 2 0 0 (d ) 0 .0 5 0 6 0 2 . T r ue o r f als e 5 6 5 1 = 12 2 x cm 10cm 8cm
2 3 . Find t h e le ng t h o f x
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Scientific Notation
S3.3 Learning Intention Calculator
Success Criteria 1. To be able to use the calculator to calculate values using scientific notation. www.mathsrevision.com 1. To show how to do calculation using scientific notation on the calculator. Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 3 Using the calculator
S3.3 www.mathsrevision.com We can use scientific notation on the calculator. Depending on your calculator you will use one of the following buttons. xy 10x EXP EE
Calculator Keys 4 (you may have to use the shift button) Enter the 5.4x103 into your calculator
5
Monday, February 13, 2012 0 xy 3
4 Created by Mr. Lafferty @www.mathsrevision.com Using the calculator
S3.3 xy
www.mathsrevision.com (you may have to use the shift button) Not the 7 10x EXP EE
Calculator Keys 2 5 0 Example: 6.25x10
6 subtraction button xy 7 Example: 8.31x1011 8
Monday, February 13, 2012 Calculator Keys 3 1 0 xy 1 1
5 Created by Mr. Lafferty @www.mathsrevision.com Using the calculator
S3.3 Calculate: 4 x 106 8 x 106 www.mathsrevision.com It is good practice to put each value in brackets
( 4 0 xy 6 ) ( exe
Monday, February 13, 2012 8 0 xy 6 ) Created by Mr. Lafferty @www.mathsrevision.com 6 Using the calculator www.mathsrevision.com Now try Ex 7.1 and Ex 7.2 Ch 1 (page 10) Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 7 Starter Questions
S3.3 Calculator
1. W r it e in s c ie nt if ic no t at io n www.mathsrevision.com (a) 4 .5 x 2 .3 x 10 3 (b ) 0 .0 5 3 x 3 .4 x 10 4 2 . T r ue o r f als e 5 5 1  = 6 3 3 3 . Find t h e le ng t h o f y
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com y cm
12 cm 5cm
8 Using the calculator
S3.3 Learning Intention Fractions
Success Criteria 1. To be able to use the calculator to calculate fractions. www.mathsrevision.com 1. To show how to do calculation using fractions on the calculator. Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 9 Using the calculator Reminder on fractions
A fraction has a numerator and denominator www.mathsrevision.com 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 0.75 3 = 4 3.00 4 a a > b b A mixed number contains whole number and fractions
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 10 Using the calculator
Fractions We can use the calculator when working with fractions www.mathsrevision.com The fraction button is : a bc
0.75 Example 1:
3 3 Express as a decimal 4
4 a bc Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 11 Using the calculator
Example 2: Fractions 5 Express as a decimal 10
10 www.mathsrevision.com 5 a bc 12 a bc 0.5 Example 3:
7 7 Express as a mixed number 4
4 a bc 13 4
Created by Mr. Lafferty @www.mathsrevision.com Monday, February 13, 2012 12 Using the calculator
Example 4: Fractions 2 Express as a improper fraction 4 3
2 www.mathsrevision.com 4 a bc a bc
Add 3 2nd a bc 143 Example 5:
4 3 2 4 + 5 3
5 2 54 15 a bc 3 a bc a bc 3 = Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 13 Using the calculator
Fractions www.mathsrevision.com Now try Ex 8.1 and Ex 8.2 Ch 1 (page 13) Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 14 Starter Questions
1. Ex p la in wh y x = 4 wh e n 3 x + 5 = 17 2 . T r ue o r f a ls e 2 0 % o f 2 2 0 = 4 4 3 . H o w m a ny s ig nif ic a nt num b e r s ( a ) 12 3 ( b ) 2 0 2 ( c ) 0 .0 9 www.mathsrevision.com 4 . C a r d e p r e c ia t e s b y 2 0 % in it s f ir s t y e a r . I f it wa s b o ug h t ne w f o r 10 0 0 0 . H o w m uc h is it wo r t h n o w.
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com What is a ratio ?
Learning Intention Ratios
Success Criteria 1. Understand the term ratio. . 2. Calculate and simplify basic ratios. www.mathsrevision.com 1. To understand what a ratio is and explain how we can sometimes simplify them. Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com What is a ratio ? Ratios Ratios can be used to compare different quantities www.mathsrevision.com 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
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Simplifying a ratio ? Simplifying a ratio is like simplifying fractions Ratios www.mathsrevision.com Fraction : 6 6 3 = 2 = 8 8 4
2 Ratio : 6 : 8 = 6 : 8 = 3 : 4
2 2 Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Simplifying a ratio ? Sometimes we need to multiply to simplify Ratios www.mathsrevision.com Ratio : 1 1 : 5 = 3 : 5 3 = 1 : 15 3 3 Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Simplifying a ratio ? When working with ratios, the two units MUST be the same Ratio : Ratios www.mathsrevision.com 1 h o ur : 4 0 m inut e s 4 = 15 m inut e s : 4 0 m inut e s = 3 m inut e s : 8 m inut e s
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Simplifying a ratio ? By first multiplying by ten to get rid of the decimals simplifying the following ratios: Ratios www.mathsrevision.com (a) (b) (c) (d) 2.2 : 3.3 1.6 : 9.6 0.5 : 100 8.5 : 9.5 22 : 33 16 : 96 5 : 1000 85 : 95
Created by Mr. Lafferty @www.mathsrevision.com 2 : 3 1 : 6 1 : 200 17 : 19 Monday, February 13, 2012 Simplifying a ratio ? By eliminating the fractions simplify the ratios. Ratios www.mathsrevision.com 1 3 (a ) : 2 4 1 3 (b) : 7 5 2 3 (c) : 1 3 4
Monday, February 13, 2012 Multiply each side by 4 Multiply each side by 35 2 : 3 5 : 21 Multiply each side by 12
Created by Mr. Lafferty @www.mathsrevision.com 8 : 21 Simplifying Ratios Ratios www.mathsrevision.com Now try Ex 9.1 Ch1 (page 16) Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Starter Questions
1. 6x + 5 = 59 9 8 www.mathsrevision.com 2 . C a lc ula t e t h e a r e a o f t h e s h a p e . 3. Round t o 2 decimal places.
(a) 0. 853 (b) 0. 356 (c) 1 . 995 4 . T r ue o r f a ls e 5 1 3 + =2 2 4 4 Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Ratio & Proportional Division
Learning Intention Success Criteria 1. Work out the number of shares for a ratio. 2. Solve problems using shares. 3. Show appropriate working. Ratios www.mathsrevision.com 1. Explain how to work out Ratio & Proportional division by using shares. Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com Ratio & Proportional Division Example : Bill and Ben share a raffle win of 400 in the ratio 3:5. How much does each get ? Ratios www.mathsrevision.com 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
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 50 8 400
Check ! 150 + 250 = 400 Ratio & Proportional Division Example : Ryan and Ross share 24 cakes in the ratio 3:1. How many cakes does each get ? Ratios www.mathsrevision.com 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
Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com 6 4 24
Check ! 18 + 6 = 24 Ratio & Proportional Division Ratios www.mathsrevision.com Now try Ex 9.2 Ch1 (page 16) Monday, February 13, 2012 Created by Mr. Lafferty @www.mathsrevision.com ...
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