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What You Should Already Know

Before beginning this course, you should have taken MATH 052, the second semester of secondary math I, or its equivalent.

Learning Outcomes

You will be expected to demonstrate mastery of the following outcomes throughout your study in this course:

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

You should keep these eight primary outcomes in mind as you complete this or any math course. This course’s specific outcomes will help you to expand on principles you learned in previous math courses. After successful completion of the course you will be able to do the following:

  1. Solve, analyze, and graph equations and inequalities.
  2. Define congruent and similar triangles, and use properties of congruency and similarity to analyze triangles.
  3. Define and classify polygons and analyze and solve properties of regular polygons.
  4. Define and classify quadrilaterals and analyze and prove properties of important quadrilaterals.
  5. Perform geometric transformations and analyses on similar figures, and calculate the midpoint, length, and slope of lines using the coordinate plane.
  6. Apply properties of exponents and powers to simplify and evaluate equations and functions.
  7. Perform mathematical operations on radicals, simplify radicals, and solve equations containing radicals.
  8. Explain properties of quadratic and polynomial functions, graph quadratics, use the quadratic formula to solve quadratic functions.
  9. Calculate perimeter and area of various polygons and solve side lengths of triangles using triangle inequality.

Course Materials

There is no textbook for this course. The course content is all you will need. A graphing calculator is recommended, but not required.

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Course Organization

Each unit is broken into lessons based on learning outcomes. Each lesson has content for you to study and is followed by small, non-graded self checks that will help you determine how well you are learning the material. The self checks draw questions from huge question banks; they will be your best review and practice tool.


Unit Quizzes

Unit quizzes are assessments you will complete at the end of each unit. There are also two review quizzes covering all of the concepts from the preceding lessons. These assignments are open-book quizzes. Since this is a mastery-based, course you may take the unit quiz as many times as you want and your highest score will be recorded.

Show Your Work Assignments

You will be required to show your work or justify your answers for some problems in the assignments and on the exam. Your work will be reviewed for partial credit, and your grade will be updated when applicable. For partial credit, you must show your work in the space provided. A rubric for how your work will be graded for this activity is included in the Course Policies page in the orientation folder.

Essay Assignments

At midcourse and at the end of your course, you will complete an essay assignment. In these assignments, you will be required to describe your strategies and reasoning for various mathematical principles. Providing correct answers is not the goal of the essay assignments; your ideas and reasoning are much more important, as reflected in the rubric. Please take the time to explain your thought process and steps for solving the problems. A rubric for this activity is included in the Course Policies page in the orientation folder.

Explorations and Orientation

This course includes exploration activities in select units. An exploration is a chance for you to interact with your teacher and other students in the course about specific topics. Each exploration is worth an equal amount, and all the explorations together account for 15% of your final grade. You must complete each exploration before you can take any later graded assignments. There are two types of explorations in this course, Discussion Board type, and live meeting type:

Discussion Board Explorations

Explorations involving discussion boards consist of three parts:

  1. A graded exploration assignment. This assignment requires you to apply the skills you have learned to a relevant problem and submit it for grading.
  2. A graded discussion of the exploration’s ideas. After you have submitted your exploration assignment, you will join other students and your teacher/TA in a discussion of concepts from the exploration in a discussion-board format. You'll be required to post your answers from the exploration assignment into the discussion board. Half the points from this assignment are awarded when you post your work, and you earn the other half of your points by critiquing the work of other students. See the rubric below for details.
  3. A summary of the big idea behind the exploration. This section will contain a summary of the exploration and will aid you as a review tool. This section is not graded.

A rubric for this activity is included in the Course Policies page in the orientation folder.

Live Explorations

Live explorations consist of two parts:

  1. You will be given some questions to work through and then a location where you will meet with other students and your teacher/TA to discuss both your approach as well as your peers'. You will need to be prepared to discuss, solve, and show all of your work on the questions. Inside each exploration is a link to the schedule for these meetings.
  2. A summary of the big idea behind the exploration. This section will contain a summary of the exploration and will aid you as a review tool. This section is not graded.

A rubric for this activity is included in the Course Policies page in the orientation folder.

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After completing the lessons, you will take the final exam. As noted, the final exam is comprehensive—in other words, it covers all material in this course. It consists of about forty to fifty questions, very much like those in the questions in the unit quizzes.

For more information, see the Final Exam Preparation section after the last unit.

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Other Resources

There is a course discussion board at the end of the course, as well as a course wiki. The discussion board is designed for you to connect, discuss course-related matters, and share ideas with your peers. The wiki is designed for the instructor to post information that may provide enrichment or relevant information for the course to you.

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The following tables show the grading breakdown and grading scale for this course:

Graded Event Weight Quantity Total
Unit Quizzes 3% 9 27%
Show-Your Work Assignments 1% 9 9%
Review Quizzes Midcourse 7% 1 14%
End of Course 7% 1
Essay Assignment Midcourse 7% 1 15%
End of Course 8% 1
Explorations 15% --- 15%
Final Exam 20% 1 20%
Grading Scale
A 100%–93%
A− 92%–90%
B+ 89%–87%
B 86%–83%
B− 82%–80%
C+ 79%–77%
C 76%–73%
C− 72%–70%
D+ 69%–67%
D 66%–63%
D− 62%–60%
E (fail) 59% or below

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Copyright Notice

The materials used in connection with this online course are only for the use of students enrolled in this course for purposes associated with this course and may not be retained or further disseminated. Any copying or further dissemination of these materials may be subject to applicable U.S. Copyright Laws. For questions or more information, please visit the BYU Copyright Licensing Office website.

“Members of the BYU community who willfully disregard this Copyright Policy or the BYU Copyright Guidelines place themselves individually at risk of legal action and may incur personal liability for their conduct. The unauthorized use or distribution of copyrighted material, including unauthorized peer-to-peer file sharing, may subject individuals to civil and criminal liabilities, including actual and statutory damages, costs and fees of litigation, fines, and imprisonment

Violations of the Copyright Policy may result in university disciplinary action including termination of university enrollment or employment.” (Emphasis added. Excerpt taken from the BYU Copyright Policy)

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University Policy - Title IX Statement

Preventing & Responding to Sexual Misconduct

In accordance with Title IX of the Education Amendments of 1972, Brigham Young University prohibits unlawful sex discrimination against any participant in its education programs or activities. The university also prohibits sexual harassment—including sexual violence—committed by or against students, university employees, and visitors to campus. As outlined in university policy, sexual harassment, dating violence, domestic violence, sexual assault, and stalking are considered forms of "Sexual Misconduct" prohibited by the university.

University policy requires all university employees in a teaching, managerial, or supervisory role to report all incidents of Sexual Misconduct that come to their attention in any way, including but not limited to face-to-face conversations, a written class assignment or paper, class discussion, email, text, or social media post. Incidents of Sexual Misconduct should be reported to the Title IX Coordinator at t9coordinator@byu.edu or (801) 422-8692. Reports may also be submitted through EthicsPoint at https://titleix.byu.edu/report or 1-888-238-1062 (24-hours a day).

BYU offers confidential resources for those affected by Sexual Misconduct, including the university’s Victim Advocate, as well as a number of non-confidential resources and services that may be helpful. Additional information about Title IX, the university’s Sexual Misconduct Policy, reporting requirements, and resources can be found at http://titleix.byu.edu or by contacting the university’s Title IX Coordinator.

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Accessibility Notice

BYU is committed to providing a working and learning atmosphere which reasonably accommodates persons with disabilities who are otherwise qualified to participate in BYU's programs and activities. In this spirit, BYU Independent Study aspires to improve web accessibility for users. While not required by law, the Web Content Accessibility Guidelines (WCAG) 2.0 Levels A and AA provide a wide range of helpful recommendations to make Web content more accessible. BYU Independent Study strives to apply WCAG 2.0 recommendations where feasible, but may deviate from any recommendations that would result in an undue hardship to BYU Independent Study or alterations to program and course content and objectives. If you have questions about accessibility, or if you need to report problems with any accessibility features please see our Accessibilities and Accommodations Web Page.

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Course Policies

These policies are specific to this course. For additional information about general policies, please refer to Independent Study Course Policies page.


Summary: 9 computer-graded unit quizzes, 2 computer-graded review quizzes, 9 show-your-work assignments, 2 essay assignments, 5 explorations

Self checks, unit quizzes and review quizzes may be resubmitted as many times as you would like.

Show-Your-Work assignments may only be submitted twice.

Essay assignments may only be submitted twice.

Live explorations may only be submitted twice.

Because the live explorations run on a set schedule and because the essay assignments must be graded by your instructor, you will not be able to complete this course in less than two months. It is highly recommended that you master each concept before moving on, which means it will likely take longer than three or four (or five) months of sustained, regular study for most students.

Final Exam

Summary: 1 proctored, computer-graded exam, may retake once without a fee, must pass to earn credit for the course

You must pass with a score of sixty percent or higher in order to pass and earn credit for this course. There is no time limit on the exam. It is a closed-book exam, but you will be allowed to bring a page of hand-written notes. This page should be an 8½" × 11" (or A4) size, and you may only write on one side. You may use a scientific or graphing calculator on the exam.


Show Your Work Assignments

Full creditAnswer is correct; clear understanding of mathematical processes and reasoning is demonstrated.
3/4 creditAnswer is incorrect; clear understanding of mathematical processes and reasoning is demonstrated, but with one or two minor errors.
Half creditAnswer is incorrect; multiple minor errors; demonstrates incomplete understanding of topic.
1/4 creditAnswer is incorrect; critical errors; demonstrates incomplete understanding of topic.
No creditAnswer is incorrect; no work or justification is shown, or the work demonstrates lack of understanding of topic.

Essay Assignments

Full creditResponse employs correct principles and explains how solution was derived; correct strategies used.
3/4 creditResponse employs correct principles with minor flaws; response partially explains how solution was derived; correct strategies used but with one or two minor errors.
Half creditResponse employs principles with moderate flaws; response partially explains how solution was derived; incorrect strategies used.
1/4 creditResponse may display correct answers with little or no explanation; response employs principles with critical flaws or doesn’t explain how solution was derived; incorrect strategies used.
No creditNo explanation is shown or the work demonstrates lack of understanding of correct strategies; answers are incorrect.

Discussion Board Explorations

10 pointsYou will automatically be awarded 10 points when you submit your exploration assignment. Your grader will review this work and may take points off for missing information or for incomplete work.
10 pointsYou will earn 10 points when you post the work from your exploration assignment into the discussion board for other students to critique.
10 pointsUp to 5 points per post, with a maximum of 10 points, will be awarded for critiquing or responding productively to the work of other students posts in the discussion board. Each post will be evaluated and awarded up to 5 points per post. How many points you earn per post will be determined by your work in helping clarify, correct, and/or critique the work from any post in the discussion board, including your own. You may continue to post to the discussion board until you have earned the number of points you wish, and even after.
Total30 points are possible for discussion board explorations.

Live Explorations

10 pointsYou will earn 10 points for arriving at the meeting prepared to discuss the assigned questions.
10 pointsYou will earn up to 10 points for your participation in a discussion with a small group of your peers where you will have to present your ideas and discuss the ideas of others.
10 pointsYou will earn up to 10 points for your participation in a group setting with all attendees at the online meeting.
Total30 points are possible for live online explorations.

Course Duration

You have 1 year to complete this course. You may purchase one 3-month extension if you need more than a year to complete this course. Because of the nature of some assignments, you will not be able to complete this course in less than 2 months.

Internet Access

This course's explorations require an internet connection capable of delivering streamed audio and video through Adobe Connect.

Test your connection: https://byuconed.adobeconnect.com/common/help/en/support/meeting_test.htm

It is necessary to have a headset or speakers connected to your computer to hear the exploration and a microphone to vocally participate. A webcam is not necessary for active participation.

Inappropriate Use of Course Content

All course materials (e.g., outlines, handouts, syllabi, exams, quizzes, media, lecture content, audio and video recordings, etc.) are proprietary. Students are prohibited from posting or selling any such course materials without the express written permission of BYU Independent Study. To do so is a violation of the Brigham Young University Honor Code.

A Note About Plagiarism

Plagiarism is a form of cheating. It is taking someone else’s work and claiming it as your own. To simply copy and paste ideas, words or stories from the internet is stealing. This will NOT be tolerated at BYU Independent Study. If you plagiarize, you will receive a failing grade on the assignment and you might not be given the opportunity to resubmit your work. If you plagiarize twice you will automatically fail the course.