Presentation is loading. Please wait.

Presentation is loading. Please wait.

Converting Units Likely the most useful thing you will learn all year.

Similar presentations


Presentation on theme: "Converting Units Likely the most useful thing you will learn all year."— Presentation transcript:

1 Converting Units Likely the most useful thing you will learn all year.

2

3 Lecture Part A. ( Just watch and think ) A sign along the road in Canada says “100 kilometers/hour.” What is this in miles per hour?

4

5 =

6 =

7 =

8 =

9

10 1.61 km = 1 mile & 1 km = miles =

11 1.61 km = 1 mile & 1 km = miles =

12 =

13 Lecture Part B. ( Just watch and think ) An airplane has a speed of 600 miles per hour. How fast is this in miles per minute?

14

15 =

16 =

17 =

18 =

19 = 1 hour = 60 minutes

20 =

21 = 10 miles/min is the same speed as 600 miles/hour

22 = Wait a tick… Why does this method work?

23 x ÷ x = ?

24 = ?

25 = 1

26 = This method works because when you multiply by 1 you do not change the value of the quantity. 1

27 1a. The piece of paper on your desk is 8 1 / 2 inches by 11 inches. In centimeters, how wide is the page?

28

29 = cm

30

31

32 How many centimeters equals how many inches? = cm

33

34 2.54 centimeters = 1 inch = cm

35 2.54 centimeters = 1 inch

36 = 21.6 cm The piece of paper is 21.6 cm wide.

37 1b. What is the width of the page, in feet?

38 What is the width of the page, in feet? What should we start with: 8.50 inches, or 21.6 cm?

39

40 = ft

41

42

43 How many feet equals how many inches? = ft

44

45 1 foot = 12 inches = ft

46 1 foot = 12 inches

47 = ft

48 = ft The page is feet long

49 2a. A student is 17 years old. How many hours old is the student?

50 =

51 = hours

52

53

54

55

56 = 148,920 hours

57 2b. How many seconds are in 1 year?

58

59 = seconds

60

61

62 = 31,500,000 sec

63 3a. A sprinter is running at 10 m/s. How fast is this, in miles per hour?

64

65 miles =per hour

66 miles =per hour

67

68 miles =per hour

69 miles = 22 per hour

70 QUICK! How many MPH is the same as 1 meter/second?

71 3b. For that same sprinter, how many minutes would it take to run a mile?

72

73 = minutes

74

75

76 = 1.5 minutes

77 4. A hotel room in Paris is 110 Euros. How much is this in US Dollars?

78 €110

79 = $

80 €110 = $

81 1 Euro = 1.4 Dollars 1 Dollar = 0.72 Euros €110 = $

82 1 Euro = 1.4 Dollars 1 Dollar = 0.72 Euros €110 = $

83 1 Euro = 1.4 Dollars 1 Dollar = 0.72 Euros €110 = $ 154

84 5. A shoe box is 5 inches x 3 inches x 11 inches = 165 cubic inches. How many cubic centimeters is this?

85

86 = cm 3

87

88

89 = 2700 cm 3

90 6. A car is speeding up at the rate of 1 mph per second. What is this acceleration in m/s 2 ?

91

92 = m/s 2

93

94

95

96 = 0.45m/s 2

97 7. The density of water is exactly 1 g/cm 3. What is the density of water in pounds per cubic foot?

98 = pounds per cubic foot

99

100

101

102 = 62 pounds per cubic foot

103 8. A truck can unload 100 kg of stone in 2 minutes. How fast is this, in pounds per second?

104 = pounds / second

105

106

107

108 = 1.8 pounds / second

109 9. A landscaper can move 40 kg of soil every 20 minutes. How many hours will it take to move 300 pounds?

110

111 = hours

112

113

114

115 = 1.1 hours

116 It’s time to extend this method. It can do much more than just conversions.

117 10. A baseball pitcher throws the ball at 90 mph. How many seconds does it take for the ball to reach the plate (60 feet away)?

118 = seconds

119

120

121 = 0.45 seconds

122 Here’s what you just skipped over: Time = Distance ÷ Speed = 0.45 seconds This means that you can get the right answer to questions, without even knowing the equation. Nice!

123 11. The density of a person is 1.4 g/cm 3. The person has a mass of 68,000 g. What is the volume of the person?

124 = cm 3

125

126

127 = 48,600 cm 3 You just used Volume = Mass ÷ Density. You have transcended equations.

128 Or, try different ways of combining the quantities, until the units come out right.

129 Try different ways of combining the quantities, until the units come out right.

130

131

132

133 Estimating ≈

134 Which is greater: A.The number of pieces of printer paper, stacked from floor to ceiling. B.The number of walking steps from the High School to the Middle School. C.They are about the same.

135 How could we estimate option A.?

136 About how far is it from the floor to the ceiling? How tall is a package of paper?

137 = sheets

138

139 = 27,000 sheets

140 About how far away is the middle school? About how big is one step?

141 = steps

142

143 = 3,520 steps

144 btw, 27,000 steps ≈ distance from here to Solon, OH

145 Which is greater: A.The number of pieces of printer paper, stacked from floor to ceiling. B.The number of walking steps from the High School to the Middle School. C.They are about the same.

146 E1a. Estimate how many hours a McDonald’s worker must work to earn enough to buy a car. Assume that all the money goes toward the car. $

147 How much is a car? What is the wage of a McDonald’s worker?

148 = hours

149

150 = 1000 hours

151 E1b. How many years is this?

152 = years

153

154 = 0.48 years

155 E2. If you drove from here to San Francisco, about how many times would you stop for gas?

156 How far away is San Francisco? How far can you drive on one tank of gas? How far can you drive on one gallon of gas? How many gallons fit in a tank?

157 = tanks

158

159 = 8 tanks

160 E3. If you wanted to buy sliced turkey to feed the entire senior class, how much would that cost?

161 How many students is that? How much does each student need? What is the cost, per pound?

162 = $

163

164 = $ 500

165 E4a. About how many hours have you spent in school?

166 How many years have you been in school? How many days in a year? How many hours in a day?

167 = hours

168

169 = 15,000 hours

170 E4b. About what percentage of your life have you spent in school? %

171 How many hours old are you?

172 = 150,000 hours

173

174 E4c. What percentage of your waking life have you spent in school?

175 How many hours are you awake every day?

176 = hours

177 = 99,000 hours

178

179 Bonus Question: In your graduating class, how many students (if any!) would you expect to have been born on Friday the 13 th ?

180 The chances of being born on a Friday:

181 The chances of being born on a Friday: 1 out of 7

182 The chances of being born on the 13th:

183 The chances of being born on the 13th: 1 out of 30.5

184 The chances of being born on the 13th and on a Friday:

185

186 How many seniors were born on the 13th and on a Friday:

187


Download ppt "Converting Units Likely the most useful thing you will learn all year."

Similar presentations


Ads by Google