SPH3UI Gizmos Student Exploration: Unit Conversions_2021/22 | SPH3UI Gizmos_ Ashita_Puri_Unit_Conversions

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Student Exploration: Unit Conversions Vocabulary: base unit, cancel, conversion factor, dimensional analysis, metric system, prefix, scientific notation Prior Knowledge Questions (Do these BEFORE u... sing the Gizmo.) Sara lives in Toronto, Canada, while her cousin Michael lives in Detroit, Michigan. They like to compare how fast they are growing up. 1. Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there are 2.54 centimeters in an inch, who is taller? ____________________________________ 2. Michael tells Sara he weighs 104 pounds. Sara says she is 44 kilograms. If there are 2.2 pounds in a kilogram, who is heavier? __________________________________________ Gizmo Warm-up As you could see from the questions above, there are different ways to measure the same quantity. Every measurement includes both a number and a unit. There are many, many different units you can use to measure the same attribute, such as height, weight, or volume. The Unit Conversions Gizmo shows you how you can convert from one unit to another in order to compare measurements. 1. To begin, check that this question is shown: The tallest building in the world, the Burj Khalifa in Dubai, is 0.828 kilometers high. What is the building¶s height in centimeters? (If this is not the question you see, click Next until it appears.) A. What unit is given in the question? ____________________ B. What unit is asked for? ____________________ 2. Look for the Unit Conversion Tile that has the unit ³meter´ on top and ³kilometer´ on the bottom. This tile shows a conversion factor, or a ratio that compares two equivalent values. A. According to this tile, how many meters are in a kilometer? ____________________ B. Look at the tile next to it. How many centimeters are in a meter? ________________ Sara Michael Centimeters 82800 1000 100 This study source was downloaded by 100000831988016 from CourseHero.com on 04-09-2022 05:18:16 GMT -05:00 https://www.coursehero.com/file/65298582/UnitConversionSEpdf/ 2019 Activity A: Dimensional analysis Get the Gizmo ready: x Check that the question is still about Burj Khalifa. Goal: Use dimensional analysis to solve conversion problems. 1. Observe: In the question, you are asked to convert kilometers to centimeters. To do this, first you will convert kilometers to meters. Drag the 1000 meters/1 kilometer tile down. A. What do you notice? __________________________________________________ B. Because kilometers appear in the numerator of one term and in the denominator of another, they cancel, or disappear. The process of converting units by canceling is called dimensional analysis. How many meters are in 0.828 kilometers? ________________________________ C. A meter is a much shorter unit of measurement than a kilometer. Based on this fact, does your answer to B make sense? ______________________________________ 2. Identify: Now find a tile that converts meters to centimeters. Drag it down next to the first. A. What units cancel now? ________________________________________________ B. What is the unit in the answer? __________________________________________ C. How many centimeters tall is the Burj Khalifa? ______________________________ D. Click Submit. Is this answer correct? _____________________________________ 3. Find: Click Next. What conversion tile can you use to solve this problem? ______________ 4. Analyze: Drag this tile to the green strip. Turn on Show results. A. What units are given to the right of the equals sign? __________________________ B. Why didn¶t the units cancel in this case? ___________________________________ ___________________________________________________________________ C. What do you think you could do to make them cancel? _______________________ ___________________________________________________________________ (Activity A continued on next page) It multiples by 1000 meters to make the total 828 meters Yes because meters are smaller 828 meters Meters Centimeters 82,800 centimeters Yes 1000 micrometers/1meter Micrometers^2 & milimeters You can't divide them Flip the time This study source was downloaded by 100000831988016 from CourseHero.com on 04-09-2022 05:18:16 GMT -05:00 https://www.coursehero.com/file/65298582/UnitConversionSEpdf/ 2019 Activity A (continued from previous page) 5. Observe: Click Flip tile. A. What unit is given now? ________________ B. Click Submit. How many millimeters wide is a human egg cell? ________________ 6. Practice: Turn off Show result. Make sure Metric units only and Distance are selected. Click Next, and use Zhat \ou¶ve learned to solve another unit conversion problem. For each problem, list the units given, the units asked for, and the solution. A. On a caterpillar¶s map, all distances are marked in millimeters. The caterpillar¶s map shows that the distance between two milkweed plants is 4,012 millimeters. What is this distance in kilometers? Given unit: ____________ Answer unit: ____________ Solution: ____________ B. The closest star to our Sun is Proxima Centauri, which is 4.242 light years away. What is the distance to Proxima Centauri in kilometers? Given unit: ____________ Answer unit: ____________ Solution: ____________ C. A helium atom has a diam [Show More]

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