- Date:16 May 2020
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Activity A,Get the Gizmo ready,Dimensional, 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,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 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,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 diameter of approximately 9 8 10 11 meters What is the. diameter of a helium atom in nanometers,Given unit Answer unit Solution. 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,Get the Gizmo ready,Activity B. Check that Metric units only and Distance is still. Metric units, Introduction During the Warm up activity you learned that 1 000 meters equals 1 kilometer. Both of these units are part of the metric system a measurement system based on powers of. 10 No matter what quantity you are working with converting between metric units will involve. multiplying by a power of 10,Goal Convert from one metric unit to another.

1 Infer The metric system uses prefixes to tell you how much to multiply the base unit by. For example in the metric system the base unit for length is the meter Examples of. prefixes include kilo centi and milli, Knowing that 1 000 meters are in 1 kilometer what do you think the prefix kilo means. 2 Analyze Use the Unit Conversion Tiles to help you determine the meaning of the following. metric prefixes The first row has been completed for you. Prefix Meaning,kilo Multiply base unit by 1 000, 3 Create Knowing the meaning of metric system prefixes can help you write your own. conversion factors In the metric system the base unit for mass is the gram What do you. think the conversion factor for gram to kilograms would be. Select Mass on the Conversion dropdown menu to check your answer. Activity B continued on next page,Activity B continued from previous page. 4 On Your Own Use the gram to kilograms conversion tile to answer the first question about. the rock s mass Turn on Show result to check your calculation Then click Submit. Continue until you ve answered all of the Mass questions The Gizmo will keep track of how. many problems you solve, 5 On Your Own Check that Metric units only is selected Continue using the Gizmo to solve. the Time and Volume problems Note While common time units minutes hours days are. acceptable to use in the metric system they are not a part of the metric system. 6 Observe Up until now all the problems you have solved have involved converting only one. unit However some conversion problems require you to convert two or more units Select. Speed from the menu What two units do you need to convert to solve this problem. 7 Think about it How do you think you can use conversion factors to solve this problem. 8 Solve Turn on Show result Drag the seconds to hour tile to the green bar. A How many meters per hour did Marcia run, B Drag the kilometer to meters tile to the green bar If these aren t the units you want.

click Flip tile What unit is given now, C Click Submit How many kilometers per hour did Marcia run. 8 Practice Turn off Show result Click Next and use what you ve learned to solve another. speed conversion problem After you have completed all the speed problems try solving the. density problems The Gizmo will keep track of how many problems you solve. If you are stuck try converting the unit in the numerator first Then convert the unit in the. denominator, 9 Challenge Select Random from the Conversion menu You can solve as many problems. as you like Some problems will only require you to convert one unit Others will require you. to convert two units Good luck,Get the Gizmo ready. Activity C,Select Mixed units,Mixed units,Select Distance from the Conversion menu. Introduction Up until now most of the conversions you have done have involved metric units. However many countries including the United States use non metric units of measurement. It can be a bit harder to convert between metric units and U S units because U S units are not. based on powers of 10 However the basic principles of dimensional analysis still apply. Goal Convert between metric and non metric units, 1 Analyze Now that you know how to convert between metric units try your hand at solving.

the mixed units problems First check that this question is shown Mount Everest is 29 029. feet high What is the height of Mount Everest in kilometers. A What unit is given What unit is asked for, B Which tile s should you use to solve this problem. C What is the height of Mount Everest in kilometers. 2 Practice Work through the other mixed unit distance speed mass volume and density. problems Then you can try solving the random problems The Gizmo will keep track of how. many problems you solve Note There are no mixed unit problems for time because. seconds minutes and hours are the primary units of time in all predominant measurement. 3 Challenge Select Distance again from the Conversion menu Use the conversion factors. on the tiles to calculate how many miles yards feet and inches are in 1 meter Next use. the Mass and Volume conversion tiles to determine how many pounds and ounces are in a. gram and how many gallons are in a liter,Quantity Metric base unit U S unit equivalent. Distance 1 meter,Mass 1 gram,Volume 1 liter gallons. Get the Gizmo ready, Extension Select Metric units only and Distance from the. Conversion menu Make sure Show result is off,Scientific notation.

Click Next until you reach the question about,Proxima Centauri. Question How can you convert numbers into and out of scientific notation. 1 Observe Some of the problems in this Gizmo involve very small or very large quantities. Look at the bottom three Unit Conversion Tiles What do you notice in the numerator. The numbers in the numerators are written in scientific notation In scientific notation a. number is converted to the product of a number between 1 and 10 and a power of 10 For. example 1 000 000 is written as 1 0 106 The first part of this number is called the. coefficient The second part is called the base, 2 Convert To convert a number written in scientific notation to a standard number first look at. the exponent on the base If it is positive move the decimal point on the coefficient to the. right as many times as the exponent indicates as shown below. Look at exponent Count digits Move decimal point Standard form. 8 35 107 8 3 500 000 83 500 000 0 83 500 000, Practice converting the two numbers below into standard form. 1 0 109 6 72 1012, You can perform this process in reverse to convert numbers in standard form into scientific. notation The number of times you move the decimal point to the left will be equal to the. exponent on your base, Standard form Place new decimal point Count digits Scientific notation.

3 700 000 3 700 000 3 700 000 3 7 106,Practice this with the two numbers below. 8 200 000 50 880 000 000 000,Extension continued on next page. Extension continued from previous page,3 Identify Look at the last tile. A How many kilometers are equal to 1 light year,B Write this number in standard form. C Drag this tile below to solve the problem Turn on Show result What is the distance. to Proxima Centauri in kilometers,D Write this distance in standard form.

4 Convert Not all numbers written in scientific notation are very large numbers Scientific. notation also can be used to write very small numbers This is done by making the exponent. on the base negative indicating the decimal point should be moved to the left. Look at exponent Count digits Move decimal point Standard form. 7 9 10 6 000 007 9 0 000 007 9 0 0000079,Try converting these numbers into standard form. 1 0 10 10 1 6 10 7, You can perform this process in reverse to convert numbers in standard form into scientific. notation as shown below, Standard form Place new decimal point Count digits Scientific notation. 0 000 05 0 000 05 0 0 000 05 0 5 0 10 5,Practice this with the two numbers below. 0 00012 0 00000000458, 5 Practice Click Next so that you see the question about helium atoms.

A What is the diameter of a helium atom in meters,B Write this number in standard form. 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

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