CONVERT UNIT RATES
SECTION 1.3
ESSENTIAL QUESTION: HOW CAN YOU SHOW THAT TWO OBJECTS ARE
PROPORTIONAL?
CUSTOMARY UNITS - BRAINPOP
CONVERT RATES
• THE RELATIONSHIPS AMONG SOME COMMONLY USED CUSTOMARY AND METRIC UNITS OF
MEASURE ARE SHOWN IN THE TABLES BELOW:
Customary Units
Metric Units
Smaller
Larger
Smaller
Larger
12 inches
1 foot
100 centimeters
1 meter
16 ounces
1 pound
1,000 grams
1 kilogram
8 pints
1 gallon
1,000 milliliters
1 liter
3 feet
1 yard
10 milliliters
1 centimeter
5,280 feet
1 mile
1,000 milligrams
1 gram
CONVERT RATES
• EACH OF THE RELATIONSHIPS IN THE TABLES CAN BE WRITTEN AS A _____________________
• LIKE A UNIT RATE, A UNIT RATIO IS ONE IN WHICH THE DENOMINATOR IS
________________________
• BELOW ARE THREE EXAMPLES OF UNIT RATIOS:
CONVERT RATES
• THE NUMERATOR AND DENOMINATOR OF EACH OF THE UNIT RATIOS SHOWN ARE EQUAL. SO, THE
VALUE OF EACH RATIO IS 1
• YOU CAN CONVERT ONE RATE TO AN EQUIVALENT RATE BY MULTIPLYING BY A UNIT RATIO OR ITS
RECIPROCAL. WHEN YOU CONVERT RATES, YOU INCLUDE THE UNITS IN YOUR COMPUTATION
• THE PROCESS OF INCLUDING UNITS OF MEASURE AS FACTORS WHEN YOU COMPUTE IS CALLED
______________________________
EXAMPLE
• 1. A REMOTE CONTROL CAR TRAVELS AT A RATE OF 10 FEET PER SECOND. HOW MANY INCHES
PER SECOND IS THIS?
EXAMPLE
• 2. A SWORDFISH CAN SWIM AT A RATE OF 60 MILES PER HOUR. HOW MANY FEET PER HOUR
IS THIS?
PRACTICE
• 3. A GULL CAN FLY AT A SPEED OF 22 MILES PER HOUR. ABOUT HOW MANY FEET PER HOUR
CAN THE GULL FLY?
• 4. AN AMTRAK TRAIN TRAVELS AT 125 MILES PER HOUR. CONVERT THE SPEED TO MILES PER
MINUTE. ROUND TO THE NEAREST TENTH.
ESSENTIAL QUESTION
• EXPLAIN WHY THE RATIO OF 3 FEET:1 YARD HAS A VALUE OF ONE.
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