MAT 140 Southern New Hampshire University First Practice Problem Walkthrough Paper For the final project, you will illustrate your process for solving sele

MAT 140 Southern New Hampshire University First Practice Problem Walkthrough Paper For the final project, you will illustrate your process for solving selected precalculus problems. In this way, you will defend the validity of your solutions and demonstrate your ability to effectively communicate using precalculus notations, conventions, and terminology. In this milestone, you will submit your first practice problem walkthrough. You will solve a similar trigonometric functions problem as the one that you will ultimately need to address in your final project. This is an important opportunity to practice “walking through” a problem solution in order to gain feedback prior to submitting your final project.

Problem Statement: Given the following right triangle (Image in attached document), find cosθ, sinθ, tanθ, secθ, cscθ, and cotθ. Do not approximate: Find exact answers. Show all of your work and explain steps as necessary.

Prompt: Use the PROVIDED TEMPLATE to solve the trigonometric functions problem above, and illustrate your process by addressing each of the following elements:

I. Establish a context for the problem by explaining in your own words the course principles that apply: What are the relationships between theta and the lengths of the sides of the triangle? Be sure to correctly use the appropriate terminology in your explanation.

II. Apply the mathematical process to solve the problem:

A. Use the Pythagorean theorem to find the third side of the triangle.

B. Write out the six trigonometric functions related to theta in exact form.

III. Clearly state the answer using appropriate precalculus notations. (This entire first page can be deleted after you review the guidelines. Your paper should
begin with the title page that follows.)
Review the Milestone One Guidelines and Rubric document to see how your paper will
be scored.
Be sure to follow APA format when providing references. If you have questions on APA
formatting, you can check the Purdue OWL website or seek help from the SNHU Writing Lab.
Notes on APA in a Formal Assignment
•
Use one-inch margins on all sides.
•
Use 12-point Times New Roman font; you do not need to use double-spacing
throughout this document.
•
Indent the first line of every paragraph by 0.5”.
•
Be careful not to use personal pronouns such as “I.”
Be sure to replace the guidelines text with your own writing.
MAT 140 Milestone One: First Practice Problem Walkthrough
[Insert Your Name]
Southern New Hampshire University
Given the following right triangle, find cosθ, sinθ, tanθ, secθ, cscθ, and cotθ. Do not
approximate: Find exact answers. Show all of your work and explain steps as necessary.
Delete the following guidelines when you are finished.
[Indicate your response here. Be sure to show all of your work and explain each step, as
necessary. If you need help using the equation editor in Microsoft Word, refer to the Equation
Editor Tutorial document.
Remember to address each of the critical elements of the prompt:
● Establish a context for the problem by explaining in your own words the course
principles that apply: What are the relationships between theta and the lengths of the
sides of the triangle? Be sure to correctly use the appropriate terminology in your
explanation.
● Apply the mathematical process to solve the problem:
○
Use the Pythagorean theorem to find the third side of the triangle.
○ Write out the six trigonometric functions in exact form related to theta.
● Clearly state the answer using appropriate precalculus notations.]
MAT 140 Milestone One Guidelines and Rubric
Overview: For the final project, you will illustrate your process for solving selected precalculus problems. In this way, you will defend the validity of your
solutions and demonstrate your ability to effectively communicate using precalculus notations, conventions, and terminology. In this milestone, you will submit
your first practice problem walkthrough. You will solve a similar trigonometric functions problem as the one that you will ultimately need to address in your final
project. This is an important opportunity to practice “walking through” a problem solution in order to gain feedback prior to submitting your final project.
Problem Statement: Given the following right triangle, find cosθ, sinθ, tanθ, secθ, cscθ, and cotθ. Do not approximate: Find exact answers. Show all of your work
and explain steps as necessary.
Prompt: Use the provided template to solve the trigonometric functions problem above, and illustrate your process by addressing each of the following
elements:
I.
Establish a context for the problem by explaining in your own words the course principles that apply: What are the relationships between theta and the
lengths of the sides of the triangle? Be sure to correctly use the appropriate terminology in your explanation.
II.
Apply the mathematical process to solve the problem:
A. Use the Pythagorean theorem to find the third side of the triangle.
B. Write out the six trigonometric functions related to theta in exact form.
III.
Clearly state the answer using appropriate precalculus notations.
Rubric
Guidelines for Submission: Your milestone submission should be about 2 pages in length, including a cover page, and must be written in APA format: Use 12point Times New Roman font and one-inch margins.
Critical Elements
Proficient (100%)
Terminology
Establishes a context for the
problem by accurately explaining
the course principles that apply
using appropriate terminology
Needs Improvement (70%)
Not Evident (0%)
Value
Establishes a context for the
problem but fails to fully or
accurately explain the course
principles that apply using
appropriate terminology
Does not establish a context
for the problem
30
Mathematical Process Correctly applies the
mathematical process to solve
the problem
Applies the mathematical
process to solve the problem,
but there are gaps in logic or
accuracy
Does not apply the
mathematical process to solve
the problem
30
Precalculus Notations Clearly states the answer to the
problem using appropriate
precalculus notations
States the answer to the
problem, but fails to clearly or
appropriately use precalculus
notations
Does not state the answer to
the problem
30
Submission has major errors
related to citations, grammar,
spelling, syntax, or
organization that negatively
impact readability and
articulation of main ideas
10
Articulation of
Response
Submission is free of errors
Submission has no major errors
related to citations, grammar,
related to citations, grammar,
spelling, syntax, and organization spelling, syntax, or organization
and is presented in a
professional and easy-to-read
format
Total
100%

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