Prerequisites: None.

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.

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 Students should also have access to a calculator or calculation software available online. Software Requirements/Installation: No special requirements.

Learning Objectives and Outcomes:

By the end of this course students will be able to:

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. 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

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 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 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 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 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 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 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 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 Read the Unit 9 Learning Guide carefully for instructions on the Final Exam 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: