<?xml version="1.0" encoding="UTF-8"?>
<?xmlspysps C:\Program Files\Altova\AUTHENTIC\sps\template\TeachEngineering\lesson.sps?>
<lesson xmlns="http://www.teachengineering.org" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.teachengineering.org C:\PROGRA~1\Altova\AUTHENTIC\sps\template\TeachEngineering\lesson.xsd" xml:lang="en-US" version="1.0">
	<title>Where Is Here?</title>
	<grade realm="k12" target="8" lowerbound="7" upperbound="9"/>
	<lesson_number rank="1" total="10"/>
	<time total="50" unit="minutes"/>
	<summary>In this lesson, students are shown the very basics of navigation. The concepts of relative and absolute location, latitude, longitude and cardinal directions are discussed, as well as the use and principles of a map and compass.  </summary>
	<engineering_connection>
		<text_section>
			<text_block format="text">
				<text_element>Some engineers create sophisticated guidance systems. For example, the <link url="http://www.MapQuest.com" type="internet">MapQuest.com</link> website provides detailed maps and directions that were created by computer algorithms and software designed by engineers. Another technology is OnStar &#x2014; a system installed in vehicles to provide information and services such as stolen vehicle tracking and roadside assistance. The system uses GPS satellite and cellular technology to link the vehicle and driver to a help center.</text_element>
			</text_block>
		</text_section>
	</engineering_connection>
	<engineering_category_TYPE category="Category1_Relating_Science_Concept_to_Engineering"/>
	<keywords>
		<keyword>cardinal directions</keyword>
		<keyword>compass</keyword>
		<keyword>coordinates</keyword>
		<keyword>directions</keyword>
		<keyword>global positioning system</keyword>
		<keyword>GPS</keyword>
		<keyword>grids</keyword>
		<keyword>latitude</keyword>
		<keyword>longitude</keyword>
		<keyword>map</keyword>
		<keyword>navigation</keyword>
	</keywords>
	<edu_standards>
		<edu_standard identifier="S11416DD  "/>
		<edu_standard identifier="S11425BD  "/>
		<edu_standard identifier="S114275B  "/>
		<edu_standard identifier="S11426CE  "/>
	</edu_standards>
	<learning_objectives>
		<text_section>
			<text_block format="text">
				<text_element>After this lesson, students should be able to:</text_element>
			</text_block>
			<text_block format="unordered">
				<text_element>Explain the concepts of coordinates and cardinal directions.  </text_element>
				<text_element>Explain the importance of using a common set of symbols and methods when making maps.</text_element>
				<text_element>Describe how using and understanding maps and compasses can help determine one&apos;s location.</text_element>
				<text_element>Explain how navigational technology like global positioning system (GPS) is used in many areas of engineering. </text_element>
				<text_element>Describe latitudinal and longitudinal numbers and how to measure distance using those numbers.</text_element>
			</text_block>
		</text_section>
	</learning_objectives>
	<introduction>
		<text_section>
			<text_block format="text">
				<text_element>How we know where we are? (Possible answers: Because we can see that we are in the school, we have maps, use a compass, or we just <italic>know</italic>.) However, that does not tell you <italic>where </italic>you are. In a classroom, there are many ways to feel comfortable just by knowing where you are in relation to the other places that you already know &#x2014; this is called <italic>landmark navigation</italic>.</text_element>
				<text_element>What if you were in the middle of the ocean? All you can see is water all the way to the horizon in every direction!  How do you know where you are now? (Possible answers: Maps? Perhaps a savvy student suggests: Stars!) </text_element>
				<text_element>(Draw a box on the chalkboard and put a few waves in it.) Would this this map be helpful to you? (Answer: No) Is there anything around you that you can see and recognize? (If no student has mentioned it yet, suggest <italic>stars </italic>to help determine where they are.)</text_element>
				<text_element>(Draw another box on the chalkboard and put a few stars in it.) How helpful is this type of map? (Listen to student suggestions.) Even if you recognize patterns in the stars, there is another problem: almost all of the stars move throughout the night. Only the North Star is fixed. </text_element>
				<text_element>Using the North Star is a good start to determining your location because you can always find the direction north. However, you can see the North Star from <italic>anywhere </italic>in the Northern Hemisphere, so you have actually only narrowed your location down to one half of the Earth!  Before modern technology, people did navigate using the stars, but it was not easy.</text_element>
				<text_element>In this unit on navigation, you will learn more about navigating with the stars. Today, you will start by learning to navigate in your own clssroom. </text_element>
			</text_block>
		</text_section>
	</introduction>
	<lesson_background>
		<text_section>
			<text_block format="text">
				<text_element>The following topics will be discussed: latitude and longitude; degrees, minutes and seconds; compass and maps; measuring latitude and longitude, the Earth&apos;s magnetic field (how a compass works); and global positioning system (GPS).</text_element>
				<text_element><image url="../cub_images/cub_navigation_lesson01_fig1.jpg" description="A diagram shows three green spheres with horizontal and vertical lines representing longitude and latitude on the Earth, including the equator and prime meridian." horizontal_alignment="center" rights="2003 Matt Lippis, University of Colorado Boulder." caption="Figure 1. Imaginary lines of longitude (right) and latitude (center)   help geographers pinpoint locations on Earth.   "/>The measurement that tells you how far you are north or south is called <italic>latitude</italic>. On a globe, latitude lines appear as parallel rings that wrap the Earth (see Figure 1). </text_element>
				<text_element>In the Figure 2 map , the surface of the Earth has been flattened and stretched at the top and bottom so that it is rectangular. Here, latitude is shown as horizontal red (or bold) lines, and the equator is shown as a thicker red (or bold) line. All points on any one latitude line are the same distance from the equator. Latitude lines are also called <italic>parallels </italic>because on a globe, latitude lines never touch each other &#x2014; they are parallel to one another.</text_element>
				<text_element><image url="../cub_images/cub_navigation_lesson01_fig2.jpg" description="A rectangular map of the world illustrates latitude, shown as horizontal red (or bold) lines, and the equator shown as a thicker red (or bold) line." horizontal_alignment="center" rights="2003 Matt Lippis, University of Colorado Boulder." caption="Figure 2. A rectangular map of the world with latitude shown as horizontal red (or bold) lines,   and the equator shown as a thicker red (or bold) line.   " width="400"/>The measurement that tells you how far you are east or west of the Prime Meridian (the thick line that passes through Greenwich, England, and part of Africa) is called <italic>longitude</italic>. On a globe, longitude lines appear as vertical bands that meet each other at the North and South Poles. They are not parallels (like latitude lines), since they actually all touch each other on the north and south ends of the Earth.</text_element>
				<text_element><image url="../cub_images/cub_navigation_lesson01_fig3.jpg" description="A rectangular map of the world illustrates longitude, shown as vertical red (or bold) lines, and the prime meridian shown as a thicker red (or bold) line." horizontal_alignment="center" rights="2003 Matt Lippis, University of Colorado Boulder." caption="Figure 3. A rectangular map of the world with longitude shown as vertical red (or bold) lines,   and the prime meridian shown as a thicker red (or bold) line." width="400"/>In the Figure  2 map, longitude is shown as vertical lines, and the prime meridian is a shown as a thicker red (bold) line. Longitude measures how far east or west along the equator something is located. </text_element>
				<text_element>Putting the latitude and longitude together, we now have a grid that allows us to identify any point on the Earth.</text_element>
				<text_element><image url="../cub_images/cub_navigation_lesson01_fig4.jpg" description="A rectangular map of the world illustrates longitude and latitude lines displayed in a grid,   allowing for the identification of any point on Earth.  " horizontal_alignment="center" rights="2003 Matt Lippis, University of Colorado Boulder." caption="Figure 4. A rectangular map of the world with longitude and latitude lines displayed in a grid,   allowing for the identification of any point on Earth.  " width="400"/></text_element>
			</text_block>
		</text_section>
		<text_section name="Measuring Latitude and Longitude  ">
			<text_block format="text">
				<text_element><italic>Longitude: </italic> Just like a circle, any longitude line (or ring) on the Earth is separated into 360 degrees. It is easiest to visualize along the equator. Looking at the longitude map (Figure 3), there are 24 sections (divided by the red lines), 12 each for the west and east sides. Taking 360 degrees and dividing by 24, we know that each section is 15 degrees across. The reference point (or zero degrees) is from prime meridian, which is located at Greenwich, England. From here you can measure 180 degrees to the west, 0 to -180 degrees. You can also measure 180 degrees to the east, 0 to 180 degrees. Western degrees are always negative, and eastern degrees are always positive.  As an example, Boulder, CO, is at -105 degrees longitude.    </text_element>
				<text_element><italic>Latitude:</italic>  Starting from the equator, you can measure 90 degrees northward and 90 degrees southward. As an example, Boulder, CO, is at 40 degrees N (north). The South Pole is at 90 degrees S (south), and the North Pole is at 90 degrees N. The distance covered by a single degree is too large for practical use, so the system of minutes and seconds was developed. A degree is divided into 60 minutes. For even more detailed use, a minute is divided into 60 seconds. One second of latitude corresponds to about 30 meters on the surface of the Earth.  </text_element>
				<text_element>1 degree = 60 minutes</text_element>
				<text_element>1 minute = 60 seconds</text_element>
				<text_element>1 degree = 3600 seconds (60 minutes x 60 seconds)</text_element>
				<text_element><image url="../cub_images/cub_navigation_lesson01_fig5.jpg" description="A diagram shows a sketch of the Earth&apos;s magnetic field, including its flow from the geomagnetic South Pole to the geomagnetic North Pole. " horizontal_alignment="left" vertical_alignment="wrap" rights="NASA http://rst.gsfc.nasa.gov/Intro/Part2_1a.html" caption="Figure 5. The Earth&apos;s magnetic field."/></text_element>
			</text_block>
		</text_section>
		<text_section name="Compasses and the Earth&apos;s Magnetic Field">
			<text_block format="text">
				<text_element>The Earth has a magnetic field that flows from the geomagnetic South Pole to the geomagnetic North Pole.  It is this field that causes the alignment of a compass needle, which is magnetized.  Luckily, the geomagnetic poles are close to the geographic poles. Therefore, when a compass needle points in the direction of the magnetic field (pointing towards the geomagnetic North Pole) it is pointing pretty close to the geographic North Pole (or, <italic>true north</italic>).</text_element>
				<text_element>The slight deviation from the geomagnetic pole and the geographic pole is called the <italic>declination</italic>.  On any good map, the declination for that area will be shown. This way you can calibrate your compass, which is pointing to geomagnetic north, to point at the geographic north, or True North.</text_element>
				<text_element>The origin of the magnetic field is still a question that has not been fully resolved, but many geophysicists believe it is generated as the rotation of the Earth causes slow movements in the liquid outer core. The magnetic lines of force resemble those that would be formed if there were an imaginary bar magnet extending through the Earth's interior. At the present time, the geomagnetic pole is located 11 degrees of latitude from the geographic pole.</text_element>
			</text_block>
		</text_section>
		<text_section name="Global Positioning System">
			<text_block format="text">
				<text_element>The global positioning system (GPS) is a publicly available system that can be used to find a position anywhere on our planet. To use it, you need a device called a GPS receiver. More than 24 satellites continually circle the Earth and broadcast radio signals. A GPS receiver accepts these signals and uses them to determine its, or your, position. GPS receivers are relatively inexpensive, user friendly and accurate. A &quot;no-frills&quot; receiver costs around $100. To determine your position using a GPS receiver, all you have to do is turn it on, wait a few minutes, and the receiver reveals your latitude and longitude. A-top-of-the-line receiver is accurate within approximately 20 ft. of your actual location. Besides all the commercial/industrial uses, they are very popular for personal recreational activities. The GPS tells you where you are, and can keep track of where you have been and help you return there. This is helpful if you are hiking in mountainous areas &#x2014; on or off trails, boating, or skiing, among other activities. GPS will be covered in more depth in later lessons.</text_element>
			</text_block>
		</text_section>
	</lesson_background>
	<vocabulary>
		<definition word="navigation ">Following a planned course to and from known points.</definition>
		<definition word="latitude ">Latitude is the distance north or south of the equator.</definition>
		<definition word="longitude ">The distance east or west of the prime meridian.</definition>
		<definition word="equator ">The line of 0 degrees latitude.</definition>
		<definition word="prime meridian ">The longitude line that runs through Greenwich, England, and is internationally accepted as the line of 0 degrees longitude. </definition>
		<definition word="cardinal directions ">One of the four principal directions on a compass: north, south, east or west.</definition>
		<definition word="compass ">An instrument that uses a magnetized metal bar to indicate the direction of the Earth's magnetic poles.</definition>
		<definition word="global positioning system or GPS ">Based upon a series of satellites that broadcast information down to the Earth&apos;s surface, this system allows anyone with a receiver to determine his/her location. A receiver (available to the public) picks up these broadcasts to determine its location.  </definition>
	</vocabulary>
	<child_documents>
		<link url="../../activities/cub_navigation/cub_navigation_lesson01_activity1.xml" type="activity" description="Students individually make grids to locate points in the classroom. They learn that they must devise a system together for everyone to be able to use it.">Nidy-Gridy </link>
		<link url="../../activities/cub_navigation/cub_navigation_lesson01_activity2.xml" type="activity" description="Students learn how important magnetic directions are for maps. They also make a basic compass to determine the direction north in the classroom.">Northward Ho!</link>
		<link url="../../activities/cub_navigation/cub_navigation_lesson01_activity3.xml" type="activity" description="4th Grade - In this activity, younger students get the chance to create their own simple compass using thread, needle and water in a bowl &#x2014; and learn how it works. ">Find Your Own Direction</link>
	</child_documents>
	<lesson_closure>
		<text_section>
			<text_block format="text">
				<text_element>How will you get home after school? (Possible answers: Walk, bus, parents pick up.)  What form of navigation do you use to arrive at your house? (Hopefully they will be aware that they will use landmark navigation &#x2014; navigation through places and things that they recognize, even if it is just to know when to get off the bus.)  </text_element>
				<text_element>Do you know if your house is north, south, east or west from the school?  How could you figure it out? (Possible answers: Look at a city map, landmark they can see from the school and their houses, draw a map as they go home, etc.) Do you think that your house has a latitude and longitude? (Answer: Yes)  Because you know and recognize landmarks in your neighborhood, you do not need a grid and coordinates to find your house, but what about other people? Often people need a long list of directions to find a house, but every house has a specific latitude and longitude, which is all you need if you have a really good map.</text_element>
			</text_block>
		</text_section>
	</lesson_closure>
	<summary_assessment>
		<text_section name="Pre-Lesson Assessment">
			<text_block format="text">
				<text_element><italic>Discussion Question:</italic> Solicit, integrate and summarize student responses.</text_element>
			</text_block>
			<text_block format="unordered">
				<text_element>How do we know where we are? (Possible answers: Because we can see that we are in the school, we have maps, use a compass, or we just know.) However, that does not tell you <italic>where </italic>you are.  In a classroom, there are many ways to feel comfortable just by knowing where you are in relation to the other places that you already know &#x2014; this is called <italic>landmark navigation</italic>.</text_element>
			</text_block>
		</text_section>
		<text_section name="Post-Introduction Assessment">
			<text_block format="text">
				<text_element><italic>Voting:</italic>  Ask a true/false question and have students vote by holding thumbs up for true and thumbs down for false. Tally the votes, and write the totals on the board. Give the right answer.</text_element>
			</text_block>
			<text_block format="unordered">
				<text_element>True or False: Is a map all you need to know for you to know where you are anywhere in the world? (Answer: False. A map alone is not enough.)</text_element>
			</text_block>
		</text_section>
		<text_section name="Lesson Summary Assessment">
			<text_block format="text">
				<text_element><italic>Flashcards:</italic>  Each student on a team creates a flashcard with a question on one side and the answer on the other. If the team cannot agree on the answers, they should consult the teacher. Pass the flashcards to the next team. Each member of the team reads a flashcard, and everyone attempts to answer it. If they are right, they can pass on the card to the next team. If they feel they have another correct answer, they should write their answer on the back of the flashcard as an alternative. Once all teams have done all the flashcards, clarify any questions. Sample questions follow:</text_element>
			</text_block>
			<text_block format="unordered">
				<text_element>Name three ways to find the direction north. (Answer: Use a compass, stars or GPS.)</text_element>
				<text_element>How many landmarks are needed to orient a map? (Answer: 2)</text_element>
				<text_element>How many directions are needed to orient a map? (Answer: 1)</text_element>
				<text_element>Is a car a good landmark? (Answer: No. A car moves.)</text_element>
				<text_element>How many coordinates do we need to map the Earth? How about in space?  (Answers: Two for Earth because it is locally flat. Three for space because you can move up and down.)  </text_element>
			</text_block>
		</text_section>
	</summary_assessment>
	<extensions>
		<text_section>
			<text_block format="text">
				<text_element>Have each student bring in his/her address and look up his/her own &#x2014; or alternatively, the school&apos;s &#x2014; latitude and longitude (as close as possible with available maps).</text_element>
				<text_element>To find the distance between two locations if you know the latitude and longitude, see: <link url="http://jan.ucc.nau.edu/~cvm/latlongdist.php" type="internet" description="http://jan.ucc.nau.edu/~cvm/latlongdist.php">http://jan.ucc.nau.edu/~cvm/latlongdist.php</link></text_element>
			</text_block>
		</text_section>
	</extensions>
	<references>
		<reference>
			<reference_biblio>Short, Nicholas M., Sr. Untitled.  December 15, 2002.  EOS-Goddard Program Office, October 16, 2003. </reference_biblio>
			<link url="http://rst.gsfc.nasa.gov/Intro/Part2_1a.html" type="internet">http://rst.gsfc.nasa.gov/Intro/Part2_1a.html&amp;gt;.</link>
		</reference>
		<reference>
			<reference_biblio> &quot;World Map.&quot; May 9, 2001. Online Image. North Central Regional Plant Introduction Station, October 16, 2003.</reference_biblio>
			<link url="http://www.ars.usda.gov/main/site_main.htm?modecode=36-25-12-00" type="internet">http://www.ars.usda.gov/main/site_main.htm?modecode=36-25-12-00</link>
		</reference>
	</references>
	<owner name="Integrated Teaching and Learning Program" organization="College of Engineering, University of Colorado at Boulder"/>
	<contributors>
		<contributor name="Jeff White"/>
		<contributor name="Matt Lippis"/>
		<contributor name="Penny Axelrad"/>
		<contributor name="Janet Yowell "/>
		<contributor name="Malinda Schaefer Zarske"/>
	</contributors>
	<copyright owner="Regents of the University of Colorado." year="2004" desc="The contents of this digital library curriculum were developed under a grant from the Satellite Division of the Institute of Navigation (www.ion.org) and National Science Foundation GK-12 grant no. 0226322."/>
</lesson>

