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HS.N-Q.A.1, 2, 3 CONVERT BETWEEN UNITS OF MEASURE

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43210 In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in math · Make connection with other content areas. The student will be able to use units to solve multi-step contextual problems. - choose, convert, interpret and justify appropriate units in the context of a problem -interpret and create graphical representations of scenarios. The student will be able to choose and convert units to solve multi-step contextual problems. -interpret graphical representati ons of scenarios. With help from the teacher, the student has partial success with using units to solve multi-step contextual situations. Even with help, the student has no success with using units to solve multi- step contextual situations. Learning Goal 2 (HS.N-Q.A.1, 2, 3): The student will be able to use units to solve multi-step contextual problems.

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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

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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.

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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

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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.

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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.

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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.

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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

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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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Conversion Factors and Unit Cancellation A physical quantity must include: Number + Unit + Unit.

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