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Proportionality

Lesson 1. Proportionality. Measurement. Warm-Up. Complete each conversion. 1 foot = _____ inches 1 yard = _____ feet 1 meter = _____ centimeters 1 kilometer = _____ meters 1 day = _____ hours 1 minute = _____ seconds 1 pound = _____ ounces 1 gallon = _____ quarts. Measurement.

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Proportionality

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  1. Lesson 1 Proportionality Measurement

  2. Warm-Up Complete each conversion. • 1 foot = _____ inches • 1 yard = _____ feet • 1 meter = _____ centimeters • 1 kilometer = _____ meters • 1 day = _____ hours • 1 minute = _____ seconds • 1 pound = _____ ounces • 1 gallon = _____ quarts

  3. Measurement Target: Convert customary and metric measurements.

  4. Vocabulary • Conversion: The process of renaming a measurement using different units.

  5. Example 1abc Determine the unit of measurement you should use in each situation. a. dimensions of a room in your house • feet b. time until school is over • hours or minutes c. distance from home to your nearest mall • miles or kilometers

  6. Example 1de Determine the unit of measurement you should use in each situation. d. amount of milk to buy for a family at the store • gallons or quarts e. angle to cut flooring in a bathroom • degrees

  7. Example 2 Choose a reasonable estimate. Explain each choice. a. length of a pen: 10 cm or 10 m • 10 cm. One meter is about the length of a yard stick. b. distance to school on a bus: 20 m or 20 km • 20 km. You would not ride the bus 20 m (that’s about 60 feet). c. amount of juice in a juice box: 1 pint or 1 gallon • 1 pint. A gallon of juice is much to large.

  8. Unit Conversions • When converting from a larger unit to a smaller unit, MULTIPLY ( × ). • When converting from a smaller unit to a larger unit, DIVIDE ( ÷ ).

  9. Example 3ab Complete each conversion. a. 4 yards = ___ feet • Find the conversion factor. 1 yard = 3 feet • Yards are larger units, multiply. 4(3) = 12 • 4 yards = 12 feet b. 48 ounces = ___ pounds • Find the conversion factor. 1 pound = 16 ounces • Ounces are smaller units, divide. 48 ÷ 16 = 3 • 48 ounces = 3 pounds

  10. Example 3c Complete each conversion. c. 3 hours = ___ minutes • Find the conversion factor. 1 hour = 60 minutes • Hours are larger units, multiply. 3(60) = 180 • 3 hours = 180 minutes

  11. Example 4 Convert 4 kilometers to centimeters. • First convert 4 km to meters, then to centimeters. • Find the conversion factor for km to m: 1 kilometer = 1000 meters • Kilometers are larger units, multiply. 4(1000) = 4000 • 4 kilometers = 4,000 meters • Find the conversion factor for m to cm: 1 meter = 100 centimeters • Meters are larger units, multiply. 4000(100) = 400,000 • 4 kilometers = 400,000 centimeters

  12. Example 5 The second highest waterfall in Oregon is Salt Creek Falls in the Cascade Mountain Range. It is 286 feet tall. Find its height in: a. inches. b. yards. a. Find the conversion factor. 1 foot = 12 inches • Feet are larger units, multiply. 286(12) = 3432 • Salt Creek Falls is 3,432 inches tall. b. Find the conversion factor. 1 yard = 3 feet • Feet are smaller units, divide. 286 ÷ 3 ≈ 95.3 • Salt Creek Falls is about 95.3 yards tall.

  13. Exit Problems Complete each conversion: • 40 meters = _____ centimeters • 120 minutes = _____ hours • 4 tons = _____ pounds

  14. Communication Prompt What is a real-world situation where you would need to convert measurements?

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