Post on 13-Jan-2016
transcript
Main Idea and New Vocabulary
NGSSS
Example 1: Use Dimensional Analysis
Example 2: Convert Rates
Example 3: Convert Rates Between Systems
Five-Minute Check
• Convert rates using dimensional analysis.
• unit rate
• derived unit
MA.8.G.5.1 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)) and dimensions including temperature, area, volume, and derived units to solve problems.
Also addresses MA.8.A.6.4
Use Dimensional Analysis
ANIMALS The Florida panther can run as fast as 35 miles per hour. How many miles can the Florida panther travel in one minute?
Multiply by .
Divide out common units.
Since 1 hour = 60 minutes, use .
Use Dimensional Analysis
Answer: The Florida panther can travel about 0.583 mile per minute.
Divide both the numerator and denominator by 60 to get a denominator of 1 minute.
Multiply.
A. $0.33 per ounce
B. $0.50 per ounce
C. $2.00 per ounce
D. $15.98 per ounce
SHOPPING Coffee beans cost $7.99 per pound. What is the cost per ounce? Round to the nearest cent.
BICYCLING Beth pedals her bike at a rate of 342 feet per minute. Convert 342 feet per minute to yards per second.
Convert Rates
Use 1 yard = 3 feet and 1 minute = 60 seconds.
Multiply by
and .
Convert Rates
Answer: So, 342 feet per minute is equivalent to1.9 yards per second.
Multiply.
Divide out common units.
Simplify.
A. 0.03 mph
B. 1 mph
C. 2 mph
D. 2.93 mph
CANOING A canoe travels down a river at 176 feet per minute. How many miles per hour is this?
Convert Rates Between Systems
HEALTH To replenish water lost during moderate activity, the average adult should consume 35 milliliters of fluid per kilogram of body weight. How many fluid ounces is this per pound?
Use conversion factors to convert milliliters to fluid ounces and kilograms to pounds.
Convert Rates Between Systems
Multiply by
and .
Divide out common units.
Convert Rates Between Systems
Answer: So, 35 milliliters of fluid per kilogram is about 0.54 fluid ounce per pound.
Multiply.
Divide.
A. 4.4 liters per hour
B. 16.7 liters per hour
C. 63.1 liters per hour
D. 1,514 liters per hour
HEALTH About 400 gallons of blood flow through your kidneys in one day. How many liters is this per hour?
A. 1.77
B. 25.63
C. 64.08
D. 1,537.85
Complete the conversion. Round to the nearest hundredth if necessary.52 fl oz/day ≈ __ mL/hr
A. 0.45
B. 321.8
C. 447.12
D. 19,306
Complete the conversion. Round to the nearest hundredth if necessary.12 mi/hr ≈ __ m/min
A. 3
B. 4
C. 21
D. 42
Complete the conversion. Round to the nearest hundredth if necessary.24 pt/day = __ gal/wk
A. 1,920
B. 160
C. 13.33
D. 7.5
Complete the conversion. Round to the nearest hundredth if necessary.10 lb/ft = __ oz/in.
A. 1.45 cm/day
B. 1.57 cm/day
C. 10.16 cm/day
D. 71.12 cm/day
A stalk of corn grows 4 inches in one week. Approximately how many centimeters per day did it grow?
A. 3,096.33 yd/min
B. 2,703.12 km/day
C. 1,877.17 m/min
D. 102.67 ft/s
As the fastest mammal, the cheetah can reach speeds up to 70 miles per hour. Which of the following is not equivalent to this rate?