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Convert Between Units of Measure

Convert Between Units of Measure. HS.N-Q.A.1, 2, 3. Learning Goal 2 (HS.N-Q.A.1, 2, 3): The student will be able to use units to solve multi-step contextual problems. How much gift wrap do you need?.

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Convert Between Units of Measure

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  1. Convert Between Units of Measure HS.N-Q.A.1, 2, 3

  2. Learning Goal 2 (HS.N-Q.A.1, 2, 3): The student will be able to use units to solve multi-step contextual problems.

  3. How much gift wrap do you need? • A roll of birthday gift wrap contains 2.5 meters of paper. What is the length of the paper in yards? • Step 1: Write down the known values and the unknown values: • Known = length of paper is 2.5 meters. • Unknown = length of paper in yards • Step 2: Find the conversion factor that gives the ratio between meters and yards. • Conversion Factor is 1 meter = 1.09 yards

  4. How much gift wrap do you need? • Step 3: Write the conversion factor as a fraction with the unit you want to convert to on top and set the problem up as an equation. • 2.5 meters • 1.09 yards meters • 2.725 yards Meters will cross cancel out leaving you with your answer in yards.

  5. Metric Mayhem • Convert 325 millimeters to meters. • Step 1: Write down the known values and the unknown values: • Known = length in mm is 325 • Unknown = length in meters • Step 2: Find the conversion factor that gives the ratio between meters and millimeters. • Conversion Factor is 1 meter = 1,000 millimeters

  6. Metric Mayhem • Step 3: Write the conversion factor as a fraction with the unit you want to convert to on top and set the problem up as an equation. • 325 mm • 1 meter 1,000 mm • 0.325 meters The unit millimeters will cross cancel out leaving you with your answer in meters.

  7. Time Flies! • How many centuries are in 237,439 days? • Step 1: Write down the known values and the unknown values: • Known = number of days 237,439 • Unknown = number of centuries • Step 2: Find the conversion factor that gives the ratio between days and centuries. • We do not have a conversion factor for centuries/days. So we need to go from days to the nearest unit we know. We know that there are 365 days in a year. We know that there are 100 years in a century.

  8. Time Flies! • Step 3: Write the conversion factor as a fraction with the unit you want to convert to on top and set the problem up as an equation. • 237,439 days • 1 year • 1 century 365 days 100 years • 6.51 centuries The unit days and years will cross cancel out leaving you with your answer in centuries.

  9. How fast is that? • Convert 52 km/h (kilometers per hour) to m/s (meters per second). • Step 1: Write down the known values and the unknown values: • Known = 52 km/h • Unknown = m/s • Step 2: Find the conversion factors that gives the ratio between kilometers and meters AND hours to seconds. • Conversion Factor is 1 kilometer = 1,000 meters • Conversion Factor is 1 hour = 3,600 seconds

  10. How fast is that? • Step 3: Write the conversion factor as a fraction with the unit you want to convert to on top and set the problem up as an equation. • 52 km • 1,000 m • 1 hr 1 hr 1 km 3,600 sec. • 14.4 m/s The unit km and hours will cross cancel out leaving you with your answer in meters per second.

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