Getting the Job DoneSpeed Work and Measurement Units Lesson 21 S92 Student Outcomes Students use rates between measurements to convert measurement in one unit to measurement in another unit They manipulat ID: 735141
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Slide1
Lesson 21
Getting the Job Done—Speed, Work, and Measurement UnitsSlide2
Lesson 21
S.92
Student
Outcomes
Students use rates between measurements to convert measurement in one unit to measurement in another unit. They manipulate and transform units appropriately when multiplying or dividing quantities
.Slide3
Lesson 21
S.92
Vocabulary:
Length
Mass
Weight
Capacity
Metric System
kilo-
deci
-
centi
-
milli
-
U.S
. Customary
systemSlide4
Lesson 21
S.92
Rotate through the measurement displays.
Refer to the conversion chart,
S.95
, as you handle each measurement tool. Slide5
Lesson 21 Exercise 1
S.92
Refer to S.95 to assist you in completing Exercise 1.
Exercise 1
Identify the ratios that are associated with conversions between feet, inches, and yards.
inches =
foot; the ratio of inches to feet is . foot = inches; the ratio of feet to inches is . feet = yard; the ratio of feet to yards is . yard = feet; the ratio of yards to feet is
Slide6
Lesson 21 Exercise 1
Answers
S.92
Identify the ratios that are associated with conversions between feet, inches, and yards
.
inches =
foot; the ratio of inches to feet is . foot = inches; the ratio of feet to inches is
. feet = yard; the ratio of feet to yards is . yard = feet; the ratio of yards to feet is .
Slide7
Lesson 21 Exercise 2
Pair Work
S.92
Work with your partner to find out how many feet are in
inches.
Use a ratio table to compare
feet and inches. Use the conversion rate of
inches per foot, or
foot per inch.After completing the table, think and use dimensional analysis to check your answer. Slide8
Lesson 21 Exercise 2
Pair Work
Answer
S.92
Feet
1
2
3
4inches12243648Use the conversion rate of
inches per foot, or
foot per inch
. inches equals feet Slide9
Lesson 21 Exercise 3
Pair Work
S.93
How many grams are in
kilograms? Again, make a
written
record
of your work before using the calculator. The rate would be
grams per kg. The unit rate would be . Make a table and use dimensional analysis. Slide10
Lesson 21 Exercise 3
Pair Work
Answer
S.93
There are
grams in
kilograms.
Grams
1000
2000
30004000
kilograms
1
2
3
4
5000
6000
5
6Slide11
Lesson 21 Example 1
S.93
How many cups are in
quarts? As always,
make a record
of your work before using the calculator.
Slide12
Lesson 21 Example 1
Answer
S.93
There
are
cups in
quarts.
Slide13
Lesson 21 Example 2
S.94
How many quarts are in
cups?
As always,
make a record
of your work before using the calculator.
Slide14
Lesson 21 Example 2
Answer
S.94
Slide15
Lesson 21 Closing
In Example 2, what if it was set up this way:
cups × (
cups /
quart) =
quarts. What is wrong with that set up?
Slide16
Lesson 21 Closing
Answer
In Example 2, what if it was set up this way:
cups × (
cups /
quart) =
quarts. What is wrong with that set up?
If the conversion factor is flipped upside down, the units will not cancel and the number won’t make sense.
Slide17
Lesson 21 Summary
S.96
Conversion tables contain ratios that can be used to convert units of length, weight, or capacity. You must multiply the given number by the ratio that compares the two units.Slide18
Lesson 21 Exit Ticket
Jill and Erika make
gallons of lemonade for their lemonade stand. How many quarts will they be able to sell? If they charge $
per quart, how much money will they make if they sell it all?
Slide19
Lesson 21 Exit Ticket
Answer
Jill and Erika make
gallons of lemonade for their lemonade stand. How many quarts will they be able to sell? If they charge $
per quart, how much money will they make if they sell it all?
The conversion rate is 4 quarts per gallon.
qt
/gal. •
gal. = quarts$/qt. • qt. = $
Slide20
Lesson 21 Problem Set
S.96
7 ft. =
in.
100 yd. =
ft. 25 m = cm 5 km = m 96 oz. = lb. 2 mi. = ft. 2 mi. = yd. 32 fl. oz. = c. 1,500 ml = l 6 g = mg
Beau buys a 3 pound bag of trail mix for a hike. He wants to make one-ounce bags for his friends with whom he is hiking. How many one-ounce bags can he make?
The maximum weight for a truck on the New York State Thruway is 40 tons. How many pounds is this? Claudia’s skis are 150 centimeters long. How many meters is this? Claudia’s skis are 150 centimeters long. How many millimeters is this? Write your own problem and solve it. Be ready to share the question tomorrow.Slide21
Lesson 21 Problem Set
Answers S.96
7 ft. =
84
in.
100 yd. =
300
ft.25 m = 2,500 cm5 km = 5,000 m96 oz. = 16 lb.2 mi. = 10,560 ft. 2 mi. = 3,520 yd.32 fl. oz. = 4 c.
1,500 ml =
1.5
l6 g = 6,000 mgBeau buys a 3 pound bag of trail mix for a hike. He wants to make one-ounce bags for his friends with whom he is hiking. How many one-ounce bags can he make? 48 bags12. The maximum weight for a truck on the New York State Thruway is 40 tons. How many pounds is this? 80,000 lb.13. Claudia’s skis are 150 centimeters long. How many meters is this? 1.5 m14. Claudia’s skis are 150 centimeters long. How many millimeters is this? 1,500 mm15 Write your own problem and solve it. Be ready to share the question tomorrow. Students, let’s hear from you.