Main Idea and New Vocabulary NGSSS Example 1: Use Dimensional Analysis Example 2: Convert Rates Example 3: Convert Rates Between Systems Five-Minute Check Lesson Menu

Convert rates using dimensional analysis. unit rate derived unit Main Idea/Vocabulary

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 NGSSS

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? Since 1 hour = 60 minutes, use . Multiply by . Divide out common units. Example 1

Use Dimensional Analysis Multiply. Divide both the numerator and denominator by 60 to get a denominator of 1 minute. Answer: The Florida panther can travel about 0.583 mile per minute. Example 1

SHOPPING Coffee beans cost $7.99 per pound. What is the cost per ounce? Round to the nearest cent. A. $0.33 per ounce B. $0.50 per ounce C. $2.00 per ounce D. $15.98 per ounce Example 1 CYP

Use 1 yard = 3 feet and 1 minute = 60 seconds. Convert Rates BICYCLING Beth pedals her bike at a rate of 342 feet per minute. Convert 342 feet per minute to yards per second. Use 1 yard = 3 feet and 1 minute = 60 seconds. Multiply by and . Example 2

Divide out common units. Convert Rates Divide out common units. Simplify. Multiply. Answer: So, 342 feet per minute is equivalent to 1.9 yards per second. Example 2

CANOING A canoe travels down a river at 176 feet per minute CANOING A canoe travels down a river at 176 feet per minute. How many miles per hour is this? A. 0.03 mph B. 1 mph C. 2 mph D. 2.93 mph Example 2 CYP

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. Example 3

Convert Rates Between Systems Multiply by and . Divide out common units. Example 3

Convert Rates Between Systems Multiply. Divide. Answer: So, 35 milliliters of fluid per kilogram is about 0.54 fluid ounce per pound. Example 3

HEALTH About 400 gallons of blood flow through your kidneys in one day HEALTH About 400 gallons of blood flow through your kidneys in one day. How many liters is this per hour? A. 4.4 liters per hour B. 16.7 liters per hour C. 63.1 liters per hour D. 1,514 liters per hour Example 3 CYP

Complete the conversion. Round to the nearest hundredth if necessary Complete the conversion. Round to the nearest hundredth if necessary. 52 fl oz/day ≈ __ mL/hr A. 1.77 B. 25.63 C. 64.08 D. 1,537.85 Five Minute Check 1

Complete the conversion. Round to the nearest hundredth if necessary Complete the conversion. Round to the nearest hundredth if necessary. 12 mi/hr ≈ __ m/min A. 0.45 B. 321.8 C. 447.12 D. 19,306 Five Minute Check 2

Complete the conversion. Round to the nearest hundredth if necessary Complete the conversion. Round to the nearest hundredth if necessary. 24 pt/day = __ gal/wk A. 3 B. 4 C. 21 D. 42 Five Minute Check 3

Complete the conversion. Round to the nearest hundredth if necessary Complete the conversion. Round to the nearest hundredth if necessary. 10 lb/ft = __ oz/in. A. 1,920 B. 160 C. 13.33 D. 7.5 Five Minute Check 4

A stalk of corn grows 4 inches in one week A stalk of corn grows 4 inches in one week. Approximately how many centimeters per day did it grow? A. 1.45 cm/day B. 1.57 cm/day C. 10.16 cm/day D. 71.12 cm/day Five Minute Check 5

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? A. 3,096.33 yd/min B. 2,703.12 km/day C. 1,877.17 m/min D. 102.67 ft/s Five Minute Check 6