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Prerequisites: None.
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Course Description: This course provides a solid grounding in algebra, trigonometry, and analytic geometry in preparation for further mathematical studies. The course includes an extensive study of linear, quadratic, and rational functions. It also contains an introduction to exponential and logarithmic functions and circles. Finally, the topic of systems of linear equations is covered.
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Required Textbook and Materials: UoPeople courses use open educational resources (OER) and other materials specifically donated to the University with free permissions for educational use. Therefore, students are not required to purchase any textbooks or sign up for any websites that have a cost associated with them. The main required textbooks for this course are listed below and can be readily accessed using the provided links. There may be additional required/recommended readings, supplemental materials, or other resources and websites necessary for lessons; these will be provided for you in the course's General Information and Forums area, and throughout the term via the weekly course Unit areas and the Learning Guides.
Abramson, J. (2017). Algebra and trigonometry. OpenStax, TX: Rice University. Retrieved from
https://openstax.org/details/books/algebra-and-trigonometry
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Students should also have access to a calculator or calculation software available online.
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Software Requirements/Installation: No special requirements.
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Learning Objectives and Outcomes:
By the end of this course students will be able to:
Learn actively by:
Integrating technology into problem-solving.
Taking responsibility for accessing and using a variety of sources for assistance in learning about algebra and trigonometry.
Think critically and creatively by:
Using deductive and inductive reasoning in applying calculus to real-life situations.
Analyzing, contrasting and critiquing various procedures – the “rules” of algebra and trigonometry.
Following, evaluating, and writing solutions to mathematical problems, arguments, and proofs.
Communicate clearly and originally by:
Explaining how answers were created -- stating assumptions made and conclusions supported by the analysis.
Formulating and criticizing mathematical conjectures and conclusions.
Reading and writing mathematical presentations that use mathematical vocabulary, notation, and graphical interpretations.
Interact in the diverse and complex environment by:
Recognizing the biases and limitations of mathematical models.
Respecting individual ways of arriving at answers, expressing results, and processing information.
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Course Schedule and Topics: This course will cover the following topics in eight learning sessions, with one Unit per week. The Final Exam will take place during Week/Unit 9 (UoPeople time).
Week 1: Unit 1 - Functions
Week 2: Unit 2 - Graphs, Linear and Quadratic Functions
Week 3: Unit 3 - Polynomials
Week 4: Unit 4 - Composition and Inverses
Week 5: Unit 5 - Exponential and Logarithmic Functions
Week 6: Unit 6 -Systems of Equations
Week 7: Unit 7 -Foundations of Trigonometry
Week 8: Unit 8 -Additional Trigonometric Concepts
Week 9: Unit 9 -Course Review and Final Exam
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Learning Guide: The following is an outline of how this course will be conducted, with suggested best practices for students.
Unit 1: Functions
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete and submit the Written Assignment
Complete an entry in the Learning Journal
Take the Self-Quiz
Unit 2: Graphs, Linear and Quadratic Functions
Peer assess Unit 1 Written Assignment
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete and submit the Written Assignment
Complete an entry in the Learning Journal
Take the Self-Quiz
Unit 3: Polynomials
Peer assess Unit 2 Written Assignment
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete an entry in the Learning Journal
Take the Self-Quiz
Take the Graded Quiz
Unit 4: Composition and Inverses
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete and submit the Written Assignment
Complete an entry in the Learning Journal
Take the Self-Quiz
Unit 5: Exponential and Logarithmic Functions
Peer assess Unit 4 Written Assignment
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete and submit the Written Assignment
Complete an entry in the Learning Journal
Take the Self-Quiz
Unit 6: Systems of Equations
Peer assess Unit 5 Written Assignment
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete an entry in the Learning Journal
Take the Self-Quiz
Take the Graded Quiz
Unit 7: Foundations of Trigonometry
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete and submit the Written Assignment
Complete an entry in the Learning Journal
Take the Self-Quiz
Unit 8: Additional Trigonometric Concepts
Peer assess Unit 7 Written Assignment
Read the Learning Guide and Reading Assignments
Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
Complete an entry in the Learning Journal
Take the Self-Quiz
Read the Unit 9 Learning Guide carefully for instructions on the Final Exam
Take the Review Quiz
Complete and submit the anonymous Course Evaluation
Unit 9: Course Review and Final Exam
Read the Learning Guide and take the Review Quiz, if you haven't already done so
Prepare for, take, and submit the Final Exam
The Final Exam will take place during the Thursday and Sunday of Week/Unit 9 (UoPeople time); exact dates, times, and other details will be provided accordingly by your instructor

Grading Components and Weights

Each graded component of the course will contribute some percentage to the final grading scale, as indicated here:
Assignment
Weight
1
Discussion Assignments
5%
2
Written Assignments
5%
3
Learning Journals
20%
4
Two Graded Quizzes
30% (2 @15% each)
5
Final Exam
40%
6
TOTAL
100%
There are no rows in this table
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