Main Idea and New Vocabulary Example 1: Convert Rates

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Presentation transcript:

Main Idea and New Vocabulary Example 1: Convert Rates Example 3: Convert Derived Units Lesson Menu

Convert units of measure between derived units to solve problems. Main Idea/Vocabulary

You can use 1 kilometer = 1,000 m to convert the rate. Convert Rates TRAINS The Shinkansen passenger train of Japan travels at a rate of 300 kilometers per hour. How many meters per hour is this? You can use 1 kilometer = 1,000 m to convert the rate. Multiply by . Divide out common units. Example 1

Answer: So, the train travels at a rate of 300,000 meters per hour. Convert Rates Simplify. Simplify. Answer: So, the train travels at a rate of 300,000 meters per hour. Example 1

DRIVING During one driving trip, Eric averaged 62 miles per hour DRIVING During one driving trip, Eric averaged 62 miles per hour. How many miles per minute did he average? A. 3,720 mi/min B. 37.20 mi/min C. 10.3 mi/min D. 1.03 mi/min Example 1 CYP

Divide out common units. Convert Rates RUNNING Kelley runs at a speed of 9 miles per hour. How many miles per second is this? You can use 1 hour = 60 minutes and 1 minute = 60 seconds to convert the rates. Multiply by Divide out common units. Example 2

Answer: Kelley runs at a speed of 0.0025 mile per second. Convert Rates Simplify. Simplify. Simplify. Answer: Kelley runs at a speed of 0.0025 mile per second. Example 2

DRIVING Diante’s grandfather averages a speed of 15 miles per hour when driving through town. How many miles per second is this? A. 54,000 mi/s B. 5,400 mi/s C. 0.25 mi/s D. 0.004 mi/s Example 2 CYP

Multiply by distance and time unit ratios. Convert Derived Units CARS A car travels at an average speed of 60 miles per hour on a trip. What is the car’s speed in feet per second? You can use 1 mile = 5,280 feet, 1 hour = 60 minutes, and 1 minute = 60 seconds to convert the rates. Multiply by distance and time unit ratios. Example 3

Divide out common units. Convert Derived Units Divide out common units. Simplify. Simplify. Simplify. Answer: The car travels an average of 88 feet per second. Example 3

MOTORCYCLES A motorcycle travels at an average speed of 56 miles per hour on a trip. What is the motorcycle’s speed in feet per minute? A. 17,740,800 ft/min B. 295,680 ft/min C. 4,928 ft/min D. 82.1 ft/min Example 3 CYP