math 112
DESCRIPTION
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure"[1]) is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.[2]The 3rd-century astronomers first noted that the lengths of the sides of a right-angle triangle and the angles between those sides have fixed relationships: that is, if at least the length of one side and the value of one angle is known, then all other angles and lengths can be determined algorithmically. These calculations soon came to be defined as the trigonometric functions and today are pervasive in both pure and applied mathematics: fundamental methods of analysis such as the Fourier transform, for example, or the wave equation, use trigonometric functions to understand cyclical phenomena across many applications in fields as diverse as physics, mechanical and electrical engineering, music and acoustics, astronomy, ecology, and biology. Trigonometry is also the foundation of surveying.TRANSCRIPT
MATH 112 Final Output
MATH 112 Project Output for the Prelim PeriodAt the end of the prelim period, you should be able to work with at most four (4) of your classmates to use the concepts of right triangles in an outdoor math activity. The students will be provided with an activity sheet to help them with the accomplishment of the project. Part 1: Site Identification Deadline: December 13, 2013 until 1pm at COS 100D
1. Together with your groupmates look for at least three objects like a tree or a building or any structure inside the DLSU-D which can be a possible object of your study. Keep in mind that you will be measuring dimensions (like the length, width ,height, etc. ) of the chosen object of study later. 2. Take a picture of the chosen object and have it developed (3R size)3. Accomplish worksheet #1. 4. Submit 1 printed copy and 1 photocopy of the accomplished worksheet on the deadline set by your subject teacher. The photocopy will serve as your receiving copy and can be used for your reference in the next stage of the project preparation.Part 2: Data Collection
1. Decide which among your three chosen objects will be used in the study.2. Accomplish worksheet #2. You may use the guide for finding the angle of the elevation of the sun given below.
How to find the angle of elevation of the sun
Materials to be used:
A wooden stick, a tape measure or ruler
Procedure:
1. Place the wooden stick in front of the object of study. The stick must be perpendicular to the ground. 2. Measure the length of the stick and also the length of the shadow of the stick.3. Compute for the angle of elevation of the sun using the tangent function. Use the information obtained to find the height of the object of study.
Part 3: Submission of the Project OutputDeadline: Resumption of classes in JanuaryWorksheet #1: Project Output in Trigonometry (Outdoor Activity)
Section :________
Group Members:______________
______________
______________
______________
______________
Chosen Object of Study:
Object #1: ___________________(ex. AEA Building)
Exact Location: ___________________(ex. Museo Complex)
(Pls. Indicate landmarks if applicable.)
Historical background of the chosen object.
- If it is a building, include details like when was it constructed,
what offices are housed by the building, what are its dimensions
- If it is an object like a tree, write the name of the tree,
where does it usually grows, what are the uses of the parts of the tree,...and the
like.
Object #2: ___________________(ex. AEA Building)
Exact Location: ___________________(ex. Museo Complex)
(Pls. Indicate landmarks if applicable.)
Historical background of the chosen object.
Object #3: ___________________(ex. AEA Building)
Exact Location: ___________________(ex. Museo Complex)
(Pls. Indicate landmarks if applicable.)
Historical background of the chosen object.
Worksheet #2: Project Output in Trigonometry (Outdoor Activity)
Section:________
Group Members:______________
______________
______________
______________
______________
Object of Study:________________
Location:______________________
Date of observation :_______________Time of observation:___________________
Draw a scale model of the object chosen. Label the parts and indicate the dimensions based from your observations.
Write the complete solution for the missing parts of the object of study.
Conclusion:
Compare the actual dimensions of the object of the study from your observations.
Conclusion:
Paste picture
Paste picture
Paste picture