Statistics is the most important aspect of math, and it forms the foundation for the analysis of data that you’ll do in any type of business. In order to take your knowledge of statistics further and turn it into a career, you’ll want to start by taking a precalculus course to identify your strengths and weaknesses. Learning about statistics will allow you to think critically and analyze trends in data in order to make educated decisions.

Looking to learn precalculus online? Check out our selection of precalculus tutorials, videos and other learning materials. For those of you that are already enrolled in a college or high school, you’ll be happy to know the materials you need for your class.

# Precalculus, Part 1

PRECALC 041 | High School Course

This course covers using mathematical functions to solve real-world problems. The course reviews basic functions operations, composition of functions, and inverse functions before moving into function transformations and polynomial, rational, exponential, and logarithmic functions. This is the first course in a two-part precalculus series (PRECALC 041 and PRECALC 043).

Instructor(s): Steven JacksonCredit Hours: 0.50$289.00

#### Course Details

NoteStudents must have access to a graphing calculator.PrerequisitesAlgebra 2, Part 2 (ALG 057) and Geometry, Part 2 (GEOM 043) or equivalentCourse Outline1. Functions

2. Function Tranformations

3. Polynomial Functions

4. Polynomial Functions, Part 2 & Rational Functions

5. Exponential Functions

6. Logarithmic FunctionsSyllabus

# Precalculus, Part 1 (PRECALC-041-T003)

# Syllabus

### Quick Links

Tips for Success

Course Learning Outcomes

Course Materials

Assignments

Exams

Grading

Course Policies

## Tips for Success

If you’re new to online courses, or if you just need a quick refresher, be sure to take a look at these video tutorials!

## What You Should Already Know

Before beginning this course, you should have taken ALG 043, a full year pre-algebra, or its equivalent.

## Course Learning Outcomes

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

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- 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:

- Solve, analyze, and graph linear equations and functions.
- Solve, analyze, and graph systems of linear equations and inequalities.
- Define and classify angles and perform calculations based on angle measurement.
- Use mathematical reasoning to prove and analyze conjectures, postulates and theorems.
- Prove properties of parallel lines.
- Find sums of arithmetic and geometric series.

## Course Materials

There is no textbook for this course; the course content is all you will need. You will also need a scientific calculator and some kind of graphing utility. A graphing calculator fits both needs and might be a good investment for future classes. You can find many great online graphing tools and calculators.

### Study Forge

Study Forge is a company that has recorded thousands of videos ranging from precalculus concepts up through calculus and higher levels of mathematics. With your enrollment, you’ll receive a subscription to the Study Forge content and you won’t need to do anything besides click the links in the course content to access the videos.

## Assignments

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.

Full credit | Answer is correct; clear understanding of mathematical processes and reasoning is demonstrated. |

3/4 credit | Answer is incorrect; clear understanding of mathematical processes and reasoning is demonstrated, but with one or two minor errors. |

Half credit | Answer is incorrect; multiple minor errors; demonstrates incomplete understanding of topic. |

1/4 credit | Answer is incorrect; critical errors; demonstrates incomplete understanding of topic. |

No credit | Answer is incorrect; no work or justification is shown, or the work demonstrates lack of understanding of topic. |

#### 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.

Full credit | Response employs correct principles and explains how solution was derived; correct strategies used. |

3/4 credit | Response employs correct principles with minor flaws; response partially explains how solution was derived; correct strategies used but with one or two minor errors. |

Half credit | Response employs principles with moderate flaws; response partially explains how solution was derived; incorrect strategies used. |

1/4 credit | Response 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 credit | No explanation is shown or the work demonstrates lack of understanding of correct strategies; answers are incorrect. |

### Explorations

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.

We highly encourage you to complete the explorations as you reach them. They are designed to use the skills you’ve already learned to set up the skills that you’re going to study in later lessons. In other words, you’ll do better in the course if you complete the explorations as you get to them.

#### Discussion Board Explorations

Explorations involving discussion boards consist of two parts:

- An observation portion that requires you to apply the skills you have learned to a relevant problem.
- A graded discussion of the exploration’s ideas. After you have gathered the information, 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 into the discussion board.

There is also a summary page for the big idea behind the exploration that you can use as a review tool.

#### Quiz Explorations

Quiz explorations ask you to record data and answer questions based on your observations.

## Exams

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.

## Grading

Your grade in this course will be based on these assignments and exams:

Assignment or Exam | Grading | Percent of Total Grade |
---|---|---|

6 Unit Quizzes | Computer | 24% |

6 Show-Your-Work Assignments | Instructor | 18% |

2 Review Quizzes | Computer | 8% |

2 Essay Assignments | Instructor | 20% |

4 Explorations | Instructor | 20% |

1 Proctored Final Exam* | Computer | 10% |

* You must pass the final exam with at least a 60% to earn credit for the course.

### Resubmissions and Retakes

For information about resubmitting assignments and retaking the exam, please see Resubmissions and Retakes.

### Grade Scale

Your letter grade is calculated according to these percentages.

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% – 0% |

## Course Policies

For information about how long you have to complete the course, resubmitting assignments, retaking exams, and other questions, please see High School Course Policies.

# Precalculus, Part 2

PRECALC 043 | High School Course

This course uses mathematical functions to solve real-world problems. The course discusses trigonometric identities and the law of sines and cosines. Other primary topics include vectors, polar functions, parametric equations, conic sections, matrices and solving systems of linear equations, and combinatorics and probability. This is the second course in a two-part precalculus series (PRECALC 041 and PRECALC 043).

Instructor(s): John CoxsonCredit Hours: 0.50$289.00Add to cart

#### Course Details

NoteStudents must have access to a graphing calculator.PrerequisitesPrecalculus, Part 1 (PRECALC 041) or equivalentCourse Outline1. Trigonometry Basics

2. Graphing Trigonometric Functions

3. Analytic Trigonometry

4. Vectors, Polar Functions, and Parametric Equations

5. Conic Sections

6. Matrices and Solving Systems of Linear Equations

7. Combinatorics and Probability

SyllabusView syllabus

# Precalculus, Part 2 (PRECALC-043-T003)

# Syllabus

### Quick Links

Tips for Success

Course Learning Outcomes

Course Materials

Assignments

Exams

Grading

Course Policies

## Tips for Success

If you’re new to online courses, or if you just need a quick refresher, be sure to take a look at these video tutorials!

## What You Should Already Know

Before beginning this course, you should have taken PRECALC-041 or the equivalent of one semester of precalculus.

## Course Learning Outcomes

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

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

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

- Use trigonometric functions to solve angle values in degrees and in radians. Convert between degrees and radians.
- Graph trigonometric functions and use trigonometric functions to model periodic data.
- Use trigonometric identities to solve problems. Verify trigonometric identities.
- Use polar coordinates and polar equations to solve problems. Use polar form while working with complex numbers and with vectors.
- Solve problems related to conic sections, including circles, ellipses, parabolas, and hyperbolas.
- Use matrix operations and matrix row operations to solve systems of equations.
- Use the fundamental counting principle and the binomial theorem in calculating probabilities.

## Course Materials

There is no textbook for this course; the course content is all you will need. You will also need a scientific calculator and some kind of graphing utility. A graphing calculator fits both needs and might be a good investment for future classes. You can find many great online graphing tools and calculators.

### Study Forge

Study Forge is a company that has recorded thousands of videos ranging from precalculus concepts up through calculus and higher levels of mathematics. With your enrollment, you’ll receive a subscription to the Study Forge content and you won’t need to do anything besides click the links in the course content to access the videos.

## Assignments

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.

Full credit | Answer is correct; clear understanding of mathematical processes and reasoning is demonstrated. |

3/4 credit | Answer is incorrect; clear understanding of mathematical processes and reasoning is demonstrated, but with one or two minor errors. |

Half credit | Answer is incorrect; multiple minor errors; demonstrates incomplete understanding of topic. |

1/4 credit | Answer is incorrect; critical errors; demonstrates incomplete understanding of topic. |

No credit | Answer is incorrect; no work or justification is shown, or the work demonstrates lack of understanding of topic. |

#### 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.

Full credit | Response employs correct principles and explains how solution was derived; correct strategies used. |

3/4 credit | Response employs correct principles with minor flaws; response partially explains how solution was derived; correct strategies used but with one or two minor errors. |

Half credit | Response employs principles with moderate flaws; response partially explains how solution was derived; incorrect strategies used. |

1/4 credit | Response 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 credit | No explanation is shown or the work demonstrates lack of understanding of correct strategies; answers are incorrect. |

### Explorations

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.

We highly encourage you to complete the explorations as you reach them. They are designed to use the skills you’ve already learned to set up the skills that you’re going to study in later lessons. In other words, you’ll do better in the course if you complete the explorations as you get to them.

#### Discussion Board Explorations

Explorations involving discussion boards consist of two parts:

- An observation portion that requires you to apply the skills you have learned to a relevant problem.
- A graded discussion of the exploration’s ideas. After you have gathered the information, 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 into the discussion board.

There is also a summary page for the big idea behind the exploration that you can use as a review tool.

#### Quiz Explorations

Quiz explorations ask you to record data and answer questions based on your observations.

## Exams

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.

## Grading

Your grade in this course will be based on these assignments and exams:

Assignment or Exam | Grading | Percent of Total Grade |
---|---|---|

7 Unit Quizzes | Computer | 28% |

7 Show-Your-Work Assignments | Instructor | 14% |

2 Review Quizzes | Computer | 8% |

2 Essay Assignments | Instructor | 20% |

4 Explorations | Instructor | 20% |

1 Proctored Final Exam* | Computer | 10% |

* You must pass the final exam with at least a 60% to earn credit for the course.

### Resubmissions and Retakes

For information about resubmitting assignments and retaking the exam, please see Resubmissions and Retakes.

### Grade Scale

Your letter grade is calculated according to these percentages.

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% – 0% |

## Course Policies

For information about how long you have to complete the course, resubmitting assignments, retaking exams, and other questions, please see High School Course Policies.

## Contact Us

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Closed Tuesdays 10:45 a.m.–noon for university devotionals.

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Local: 801-422-2868

Fax: 801-422-0102

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