In this episode of STEM in 30, we take a look at the challenges of navigating at sea, in the sky, and even in space.

Satellite Engineering introduces students to subsystem design in engineering spacecraft. The course presents characteristic subsystems, such as power, structure, communication and control, and analyzes the engineering trades necessary to integrate subsystems successfully into a satellite. Discussions of spacecraft operating environment and orbital mechanics help students to understand the functional requirements and key design parameters for satellite systems.

The earliest explorers did not have computers or satellites to help them know their exact location. The most accurate tool developed was the sextant to determine latitude and longitude. In this activity, the sextant is introduced and discussed with the class. Students will learn how a sextant can be a reliable tool that is still being used by today's navigators and how computers can help assure accuracy when measuring angles. Also, this activity will show how computers can be used to understand equations even when knowing how to do the math is unknown.

To navigate, you must know roughly where you stand relative to your designation, so you can head in the right direction. In locations where landmarks are not available to help navigate (in deserts, on seas), objects in the sky are the only reference points. While celestial objects move fairly predictably, and rough longitude is not too difficult to find, it is not a simple matter to determine latitude and precise positions. In this activity, students investigate the uses and advantages of modern GPS for navigation.

Students learn that math is important in navigation and engineering. They learn about triangles and how they can help determine distances. Ancient land and sea navigators started with the most basic of navigation equations (speed x time = distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts — basic geometry and trigonometry — that have been used for thousands of years.

Maps are designed to allow people to travel to a new location without a guide to show the way. They tell us information about areas to which we may or may not have ever been. There are many types of maps available for both recreational and professional use. A navigator uses a nautical map, while an engineer might use a surveyor's map. Maps are created by cartographers, and they can be very specific or very general, depending on their intended use. The focus of this lesson is on how to read and use topographical maps. Students will also learn to identify the common features of a map. Through the associated activities, students will learn how to use a compass to find bearing to an object on a map and in the classroom.

In this activity, students will learn how to read a topographical map and how to triangulate with just a map. True triangulation requires both a map and compass, but to simplify the activity and make it possible indoors, the compass information is given. Students will practice converting a compass measurement to a protractor measurement, as well as reverse a bearing direction (i.e., if they know a tree's bearing is 100 degrees from you, they can determine what bearing they are from the tree). Students will use the accompanying worksheets to take a bearing of certain landmarks and then start at those landmarks to work backwards to figure out where they are.

In this activity, students will learn how to actually triangulate using a compass, topographical (topo) map and view of outside landmarks. It is best if a field trip to another location away from school is selected. The location should have easily discernable landmarks (like mountains or radio towers) and changes in elevation (to illustrate the topographical features) to enhance the activity. A national park is an ideal location, and visiting a number of parks, especially parks with hiking trails, is especially beneficial.

Students learn about and use a right triangle to determine the width of a "pretend" river. Working in teams, they estimate of the width of the river, measure it and compare their results with classmates.

Students learn how to identify the major features in a topographical map. They learn that maps come in a variety of forms: city maps, road maps, nautical maps, topographical maps, and many others. Map features reflect the intended use. For example, a state map shows cities, major roads, national parks, county lines, etc. A city map shows streets and major landmarks for that city, such as hospitals and parks. Topographical maps help navigate the wilderness by showing the elevation, mountains, peaks, rivers and trails.

In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing winds and currents.

How do we know where we are? What happens if you are completely lost in the middle of nowhere? Does technology provide tools for people lost in their travels? A person cannot usually determine an accurate position just by looking out a window in the middle of the ocean or vast area of land, particularly if it has not been charted before. In this lesson, students explore the concept of triangulation that is used in navigation satellites and global positioning systems designed by engineers. Also, students learn how these technologies can help people determine their position or the location of someone else.

Students learn how to take bearings using orienteering compasses. They also learn how to describe a bearing and find an object in the classroom using a bearing.

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.