Gizmos : Student Exploration: Unit Conversions_2021 Graded A

Sara Michael Name: Student Exploration: Unit Conversions Vocabulary : base unit, cancel, conversion factor, dimensional analysis, metric system, prefix, scientific notation Prior Knowledge Questions (Do these BEFORE using 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? Centimeters 2. Look for the Unit Conversion Tile that has the unit “meter” on top and “kilometer” 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? 100 Angelynna Torres Date: 1-23-2021 1000 Kilometers The kilometers cancel out yes Activity A: Dimensional analysis Get the Gizmo ready : ● 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? 828 1000/100 nothing meter 82,800 yes micrometers and millimeters because they are equivalent