Convert Unit Rates Objective: To convert units of measure
between derived units to solve problems.
Slide 22
Convert Unit Rates The relationships among some commonly used
customary and metric units are shown in the tables below.
Slide 23
Convert Unit Rates Each of the relationships in the tables can
be written as a unit ratio. A unit ratio, like a unit rate, has a
denominator of one unit.
Slide 24
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? How to Convert
Unit Rates Step 1 Write the complete rate as a fraction with
units.
Slide 25
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft 1 s How
to Convert Unit Rates Step 1 Write the complete rate as a fraction
with units.
Slide 26
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft 1 s How
to Convert Unit Rates Step 2 Determine the units of the answer and
write as a fraction.
Slide 27
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft in 1 s =
1 s How to Convert Unit Rates Step 2 Determine the units of the
answer and write as a fraction. Leave space for the conversion
rate.
Slide 28
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft in 1 s =
1 s How to Convert Unit Rates Step 3 Determine the units of the
conversion rate(s). Leave space for the conversion rate.
Slide 29
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft in in 1
s ft = 1 s How to Convert Unit Rates Step 3 Determine the units of
the conversion rate(s). conversion rate.
Slide 30
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft in in 1
s ft = 1 s The conversion rate units are determined by the original
rate units and the answer units. In the above case, we need to
cancel the ft units and replace with in units. Notice the
conversion rate has ft in the denominator, so it will cancel the ft
of the original rate. conversion rate.
Slide 31
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft in in 1
s ft = 1 s How to Convert Unit Rates Step 4 Complete the conversion
rate(s). Eg. How many inches in how many feet? conversion
rate.
Slide 32
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft 12 in in
1 s 1 ft = 1 s How to Convert Unit Rates Step 4 Complete the
conversion rate(s). conversion rate.
Slide 33
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft 12 in in
1 s 1 ft = 1 s How to Convert Unit Rates Step 5 Multiply and cancel
units.
Slide 34
Convert Unit Rates A remote control car travels at a rate of 10
feet per second. How many inches per second is this? 10 ft 12 in
120 in 1 s 1 ft = 1 s How to Convert Unit Rates Step 5 Multiply and
cancel units.
Slide 35
Convert Unit Rates A swordfish can swim at a rate of 60 miles
per hour. How many feet per hour is this? Step 1 - ?
Slide 36
Convert Unit Rates A swordfish can swim at a rate of 60 miles
per hour. How many feet per hour is this? 60 mile 1 h Step 2 -
?
Slide 37
Convert Unit Rates A swordfish can swim at a rate of 60 miles
per hour. How many feet per hour is this? 60 mile ft 1 h = 1 h Step
3 ?
Slide 38
Convert Unit Rates A swordfish can swim at a rate of 60 miles
per hour. How many feet per hour is this? 60 mile ft ft 1 h mile =
1 h Remember we want to cancel the mile unit in the numerator of
the original rate. In order to do so, the conversion rate must have
a mile unit in the denominator. Step 4 ?
Slide 39
Convert Unit Rates A swordfish can swim at a rate of 60 miles
per hour. How many feet per hour is this? 60 mile 5280 ft ft 1 h 1
mile = 1 h How many feet in how many miles? Step 5 ?
Slide 40
Convert Unit Rates A swordfish can swim at a rate of 60 miles
per hour. How many feet per hour is this? 60 mile 5280 ft 316, 800
ft 1 h 1 mile = 1 h
Slide 41
Convert Unit Rates A gull can fly at a speed of 22 miles per
hour. How many feet per hour can the gull fly? Do this on your
own.
Slide 42
Convert Unit Rates A gull can fly at a speed of 22 miles per
hour. How many feet per hour can the gull fly? 22 miles 5280 ft
116,160 ft 1 h 1 mile = 1 h
Slide 43
Convert Unit Rates An AMTRAK train travels at 125 miles per
hour. Convert the speed to miles per minute. Round to the nearest
tenth. Do this on your own.
Slide 44
Convert Unit Rates An AMTRAK train travels at 125 miles per
hour. Convert the speed to miles per minute. Round to the nearest
tenth. 125 miles 1 h 2.1 miles 1 h 60 min = 1 min
Slide 45
Convert Unit Rates Marvin is walking at a speed of 7 feet per
second. How many feet per hour is this? Do this on your own.
Slide 46
Convert Unit Rates Marvin is walking at a speed of 7 feet per
second. How many feet per hour is this? 7 ft 60 s 420 ft 1 s 1 min
= 1 min 420 ft 60 min 25,200 ft 1 min 1 h = 1 h Or you can create
one large conversion rate
Slide 47
Convert Unit Rates Marvin is walking at a speed of 7 feet per
second. How many feet per hour is this? 7 ft 60 s 60 min 25,200 ft
1 s 1 min 1 h = 1 h
Slide 48
Convert Unit Rates The average speed of one team in a relay
race is10 miles per hour. What is the speed in feet per second?
Round to the nearest tenth. Do this on your own.
Slide 49
Convert Unit Rates The average speed of one team in a relay
race is10 miles per hour. What is the speed in feet per second?
Round to the nearest tenth. 10 miles 5280 ft 52,800 ft 1 h 1 mile =
1 h 52,800 ft 1 h 880 ft 1 min 14.7 ft 1 h 60 min = 1 min 60 s = 1
s Or you can create one large conversion rate
Slide 50
Convert Unit Rates The average speed of one team in a relay
race is10 miles per hour. What is the speed in feet per second?
Round to the nearest tenth. 10 miles 5280 ft 1 h 1 min 14.7 ft 1 h
1 mile 60 min 60 s = 1s
Slide 51
Convert Unit Rates Johannas parents give her $10 per week for
lunch money. When you convert 100 ft per second to inches per
second, will there be more or less than 100 inches? Explain.
Slide 52
Convert Unit Rates Johannas parents give her $10 per week for
lunch money. When you convert 100 ft per second to inches per
second, will there be more or less than 100 inches? Explain. More;
Since inches are smaller than feet, it will take more inches to
make equivalent rates.
Slide 53
Convert Unit Rates Johannas parents give her $10 per week for
lunch money. If 1 yard is equal to 0.91 meters, convert 7 meters
per minute to yards per hour. Round to the nearest tenth.
Slide 54
Convert Unit Rates Johannas parents give her $10 per week for
lunch money. If 1 yard is equal to 0.91 meters, convert 7 meters
per minute to yards per hour. Round to the nearest tenth. 7
meter.91 meter ? yd = 1 yd 7 meters = 7.7 yds 7.7 yd 7.7 yd 60 min
462 yd 1 min = 1 min 1 h = 1 h
Slide 55
Convert Unit Rates Agenda Notes Homework Homework Practice
7.1.3 Due Wednesday, Jan 7 You can use the table in slide 22, if
needed. Mid-Chapter 7.1 Quiz - Thursday, Jan 8
