Papers
Axel Krizza A. Cabalhug
2012-31400
Term Paper Proposal: Broad Subject – Unit Circle I would like to explore the unit circle and how it is essential in the field of Mathematics especially in Trigonometry and Calculus. I, myself, am a Math enthusiast and I have heard many people complaining as to why Unit Circle is part of the curriculum when it is just a circle with a radius of one. I would like to know if there is a relevant relationship with how developed a student’s understanding of the unit circle is to the student’s comprehension of the major topics in Trigonometry and Calculus. Perchance an established knowledge of the unit circle could help students appreciate and understand better related topics in Trigonometry and Calculus and eventually grasp the wonders of Mathematics.
Analysis Questions
1. What is a unit circle? 2. Why is it important to master such basic idea? 3. What are its main uses, specifically in Trigonometry and Calculus? 4. What are the possible causes that students do not understand the unit circle? 5. How is mastering the unit circle help students understand trigonometry better? 6. Are there unique definitions of the unit circle in other fields? 7. Can the unit circle be applied directly in real life?
Sentence Outline
The Unit Circle and Its Uses
I. The history of trigonometry had arrived at unit circle as the major topic. II. The unit circle is a circle with a radius of one. A. The unit circle has an equation of x2 + y2 = 1. B. It provides ratios between lengths of right triangles. III. There are various uses of the unit circle. A. Trigonometric functions are defined in terms of the coordinates of points in the unit circle. 1. Trigonometric functions namely, sine, cosine, secant, cosecant, tangent and cotangent, are ratios between the sides of the triangles inside the unit circle. 2. These values can be determined using an initial point and an arc formed from
2012-31400
Term Paper Proposal: Broad Subject – Unit Circle I would like to explore the unit circle and how it is essential in the field of Mathematics especially in Trigonometry and Calculus. I, myself, am a Math enthusiast and I have heard many people complaining as to why Unit Circle is part of the curriculum when it is just a circle with a radius of one. I would like to know if there is a relevant relationship with how developed a student’s understanding of the unit circle is to the student’s comprehension of the major topics in Trigonometry and Calculus. Perchance an established knowledge of the unit circle could help students appreciate and understand better related topics in Trigonometry and Calculus and eventually grasp the wonders of Mathematics.
Analysis Questions
1. What is a unit circle? 2. Why is it important to master such basic idea? 3. What are its main uses, specifically in Trigonometry and Calculus? 4. What are the possible causes that students do not understand the unit circle? 5. How is mastering the unit circle help students understand trigonometry better? 6. Are there unique definitions of the unit circle in other fields? 7. Can the unit circle be applied directly in real life?
Sentence Outline
The Unit Circle and Its Uses
I. The history of trigonometry had arrived at unit circle as the major topic. II. The unit circle is a circle with a radius of one. A. The unit circle has an equation of x2 + y2 = 1. B. It provides ratios between lengths of right triangles. III. There are various uses of the unit circle. A. Trigonometric functions are defined in terms of the coordinates of points in the unit circle. 1. Trigonometric functions namely, sine, cosine, secant, cosecant, tangent and cotangent, are ratios between the sides of the triangles inside the unit circle. 2. These values can be determined using an initial point and an arc formed from