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Lesson Menu. Main Idea and New Vocabulary Example 1: Convert Rates Example 2: Convert Rates Example 3: Convert Derived Units. Convert units of measure between derived units to solve problems. derived unit. Main Idea/Vocabulary. Multiply by. Divide out common units. Convert Rates.

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  1. Lesson Menu Main Idea and New Vocabulary Example 1: Convert Rates Example 2: Convert Rates Example 3: Convert Derived Units

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

  3. Multiply by . Divide out common units. 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. Example 1

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

  5. 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

  6. Multiply by 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. Example 2

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

  8. 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

  9. 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. Example 3

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

  11. MOTORCYCLES Amotorcycle 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

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