SPH3UI Gizmos Student Exploration: Unit Conversions_2021 | SPH3UI Gizmos_ Ashita_Puri_Unit_Conversions

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. 2. Michael tells Sara he weighs 104 pounds. Sara says she is 44 kilograms. 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.) 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. Reproduction for educational use only. Public sharing or posting prohibited. © 2020 ExploreLearning™ All rights reserved Name: Ashita Puri Date: Feb.3/2021 If there are 2.54 centimeters in an inch, who is taller? sara is taller(63 inches) If there are 2.2 pounds in a kilogram, who is heavier? Micheal is heavier(47.3 kg) A. What unit is given in the question? Kilometers B. What unit is asked for? Centimeters A. According to this tile, how many meters are in a kilometer? 1000 B. Look at the tile next to it. How many centimeters are in a meter? 100Goal: 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. 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​. C. A meter is a much shorter unit of measurement than a kilometer. 2. Identify​: Now find a tile that converts meters to centimeters. Drag it down next to the first. 3. Find​: Click ​Next 4. Analyze​: Drag this tile to the green strip. Turn on ​Show results​. Reproduction for educational use only. Public sharing or posting prohibited. © 2020 ExploreLearning™ All rights reserved Activity A: Dimensional analysis Get the Gizmo ready​: ● Check that the question is still about Burj Khalifa. A. What do you notice? the kilometers cancel out How many meters are in 0.828 kilometers? 828 meters D. Based on this fact, does your answer to B make sense? Yes, because 1000m are needed to make 1 km A. What units cancel now? kilometers and meters B. What is the unit in the answer? centimeters C. How many centimeters tall is the Burj Khalifa? 82,800 cm D. Click ​Submit​. Is this answer correct? yes. What conversion tile can you use to solve this problem? 1000 micrometers / 1 millimeter A. What units are given to the right of the equals sign? 121,000 micrometers​2 ​/ millimeters B. Why didn’t the units cancel in this case? The micrometers stayed in the numerator.5. Observe​: Click ​Flip tile​. 6. Practice​: Turn off ​Show result​. Make sure ​Metric units only​ and ​Distance​ are selected. Click ​Next​, and use what you’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? 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? C. A helium atom has a diameter of approximately 9.8 • 10​-11​ meters. What is the diameter of a helium atom in nanometers? 7. On your own​: A blue whale has a length of 28,578 millimeters. What is the length of a blue whale in kilometers? Show your work below by writing the conversion factors you use to solve this question. Reproduction for educational use only. Public sharing or posting prohibited. © 2020 ExploreLearning™ All rights reserved C. What do you think you could do to make them cancel?- - - - -- - Continued