UNIT 1 RELEVANCE
Made by Matthew Z.
Points - The stars in the great expanse of the cosmos are similar to points in 3D space, each pinpointing a definite location in our vast macrocosm. From GoogleImages.
Conditional Statements - Hypotheses in science represent conditional statements - they demonstrate the "if, then" model, supported with an optional "because" afterwards. This is a science application. From GoogleImages.
Planes - The corner of a room or chamber depicts three individual planes that intersect at a point. Each pair of planes intersect in a line. This is an architecture application. For an additional bonus, you can also notice some length measurements here. From SketchUp.
Angles - The hands on a clock create an angle. The position at 3 o'clock forms a 90 degree angle, or a right angle. As an additional plus, the arrowheads at the tips of each hand represent rays, and the fulcrum of the hands represent the vertex. From GoogleImages.
Parallel Lines - The sides of a well-defined railroad track require exact parallel lines - otherwise, a train trucking along these tracks would swerve and jerk around unstably. From GoogleImages.
UNIT 2 RELEVANCE
Maxwell L.
http://magnatiles.com/2014/01/magna-tiles-tessellations/valtech-magna-tiles-tessellation-stone/
This is an example of a tessellation. Tessellations are used when people are building walls, laying down tiles etc.
http://www.glogster.com/dpal2014/frieze-patterns/g-6m2v736cdh1j2ln828m9ca0
The railing represents a frieze pattern. A frieze pattern is used when you are making a border or anything that needs to be long and repetitive.
http://bernardihondabrockton.blogspot.com/2013/06/how-to-change-flat-tire.html
The tire is an example of a rotation. The tire rotates around the center of the tire and doesn't change size or shape.
UNIT 3 RELEVANCE
The Golden Gate Bridge
http://www.destination360.com/north-america/us/california/san-francisco/golden-gate-bridge
The main concept of this unit is triangles. Triangles are extremely important in both engineering and architecture. The Golden Gate Bridge is the prime example of both architecture and engineering. Designed to be able to hold 4,000 pounds per foot of bridge, it would not be able to accomplish this without the help of triangles. At the base of the bridge, you can see a basic rectangular outline of the base. Between the outline, there is a web of supporting steel. If you look close enough, this is made up of small triangles. The engineers used these triangles to add support to the base. Triangles cannot be deformed unless you change the length of one side, so engineers use the triangle to eliminate lateral movement, which strengthens the bridge.
Sailboats
http://adventure.howstuffworks.com/outdoor-activities/water-sports/sailboat.htm
Triangles are also a very important part of the construction of sailboats. These triangular sails on the boat allow for the boat to not only travel in the direction of the wind, but also toward the wind. To do this, the boatman must direct the sail at such an attack angle as to relocate the pressure to different areas of the sail. Combined with the force of water, the boat has enough momentum to move forward, even against the wind. With traditional square sails, it is impossible to sail against the wind. The construction of these special triangular sails allow for a sailboat to accomplish more versatile tasks.
House with Triangular Roofs
http://www.photographerscolorado.com/index.php#mi=2&pt=1&pi=10000&s=1&p=2&a=0&at=0
Most houses have triangular roofs. These roofs are made to provide safety to a home. Because of the slope of a triangular roof, precipitation like snow or rain easily slides off of the roof. On flat roofs, the precipitation accumulates, which can lead to added weight on the roof. This added weight can lead to the roof caving in. The caving in of the roof can lead to things like the roof falling in, leaks in the ceiling, or replacement of the roof. Because of this risk of roofs caving in, most houses are built with a triangular roof, which both disperses weight evenly and is easy for rain to slide off of.
Ferris Wheel
http://jhagood23.deviantart.com/art/Ferris-Wheel-Sunset-403325257
The triangles in the ferris wheel are very similar to what you can see in the Golden Gate bridge. There are many triangles in the building in a ferris wheel. At the base of the ferris wheel, you can see a large triangle that is supporting the weight of the ferris wheel. The rectangles that connect the vertex of the base triangle to the individual compartments are supported by many triangles. These triangles provide additional support to the structure of the ferris wheel and allow for a smoother and more safe ride for the people going on the ride. Triangles can handle more weight than regular rectangles can, so it is more reasonable for engineers to use a triangle as a base compared to a rectangular base.