Online Class: Pre-Algebra 101

This course builds a bridge between simple whole-number arithmetic operations, such as addition, subtraction, multiplication, and division, and algebra.
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  • 15
    Lessons
  • 31
    Exams &
    Assignments
  • 8,554
    Students
    have taken this course
  • 14
    Hours
    average time
  • 1.4
    CEUs
 
 

Course Description

An understanding of algebra is a foundational skill to virtually all topics in higher-level mathematics, and it is useful in science, statistics, accounting, and numerous other professional and academic areas. This course builds a bridge between simple whole-number arithmetic operations, such as addition, subtraction, multiplication, and division, and algebra.

This course begins by reviewing the basic arithmetic operations and their mutual relationships, and it then goes on to develop an understanding of fractions and how to perform operations on them. Exponents and their properties are then derived, and radicals (and other roots) are presented.

This course shows how exponents and roots are related, as well as how these are related to multiplication and division. Throughout this first portion of the course, the use of symbols in place of numbers is introduced and developed, leading to an investigation into variables and algebraic relations in the latter portion of the course.

This course also describes how to graph algebraic relations and how to solve simple linear equations. Finally, the course applies these various concepts to geometry by considering some of the characteristics of triangles, rectangles, and circles, and it also applies them to basic probability and statistics.

Thus, this course not only provides a fundamental set of algebra skills, but it demonstrates how these skills can be used to study various problems that have real-world applications.
Courses Frequently Bought Together:
  • Completely Online
  • Self-Paced
  • 6 Months to Complete
  • 24/7 Availability
  • Start Anytime
  • PC & Mac Compatible
  • Android & iOS Friendly
  • Accredited CEUs
Universal Class is an IACET Accredited Provider
 

Course Lessons

Average Lesson Rating:
4.3 / 5 Stars (Average Rating)
"Extraordinarily Helpful"
(2,972 votes)

Lesson 1 - Review of Basic Operations

This lesson reviews the basic operations and some associated ideas, setting the stage for learning about fractions, the first main topic of the course. Additional lesson topics: Introduction to Negative Numbers 18 Total Points
  • Lesson 1 Video A
  • Lesson 1 Video B : How to Take an Exam
  • Review 5 Practice Worksheets
  • Lesson discussions: Reasons for Taking this Course
  • Complete: Introduction Assignment
  • Assessment: Lesson 1 - Review of Basic Operations
  • Assessment: Lesson 1 Exercises

Lesson 2 - Fractions I

This lesson provides a foundation for understanding how to add, subtract, multiply, and divide fractions--a topic to which we will turn in the next lesson. Additional lesson topics: Khan Academy Fractions 19 Total Points
  • Lesson 2 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 2 – Fractions I
  • Assessment: Lesson 2 Exercises

Lesson 3 - Fractions II

In this lesson, we apply our fundamental understanding of fractions from the previous lesson to the basic arithmetic operations. 18 Total Points
  • Lesson 3 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 3 – Fractions II
  • Assessment: Lesson 3 Exercises

Lesson 4 - Decimals, Percents, and Ratios

In the previous two lessons, we discussed fractions at length. As you have probably noticed, however, most basic calculators (as well as many more-advanced calculators) do not deal with fractions. 20 Total Points
  • Lesson 4 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 4 – Decimals, Percents, and Ratios
  • Assessment: Lesson 4 Exercises

Lesson 5 - Exponents I

In this lesson, we introduce exponents, which are a way to represent repeated multiplication (just as multiplication is a way to represent repeated addition). Additional lesson topics: The Law of Exponents 18 Total Points
  • Lesson 5 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 5 – Exponents I
  • Assessment: Lesson 5 Exercises

Lesson 6 - Exponents II

Specifically, this lesson considers rules for multiplying and dividing expressions with exponents, and it also explores the meaning of negative exponents. 19 Total Points
  • Lesson 6 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 6 – Exponents II
  • Assessment: Lesson 6 Exercises

Lesson 7 - Radicals I

By the end of this lesson, you should be able to handle numbers raised to any exponent, and you will also be equipped to study arithmetic operations on radical expressions in the next lesson. 18 Total Points
  • Lesson 7 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 7 – Radicals I
  • Assessment: Lesson 7 Exercises

Lesson 8 - Radicals II

The mathematical tools we study in this lesson allow us to at least partially evaluate radical expressions without losing exactness in the result (unlike what would happen if we simply used a calculator). Additional lesson topics: Operations With Radicals 16 Total Points
  • Lesson 8 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 8 – Radicals II
  • Assessment: Lesson 8 Exercises

Lesson 9 - Variables and Algebraic Relations

This lesson focuses mainly on the concepts associated with these topics and lays a foundation for studying in later lessons how to graph relations and solve simple equations. 14 Total Points
  • Lesson 9 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 9 Variables and Algebraic Relations
  • Assessment: Lesson 9 Exercises

Lesson 10 - Graphing Algebraic Relations

In this lesson, we learn how to graph simple and moderately complicated algebraic relations. 10 Total Points
  • Lesson 10 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 10 – Graphing Algebraic Relations

Lesson 11 - Solving Linear Equations

In this lesson, we learn how to manipulate equations by performing operations on both sides of the equation 14 Total Points
  • Lesson 11 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 11 Solving Linear Equations
  • Assessment: Lesson 11 Exercises

Lesson 12 - Geometry I: Rectangles and Triangles

In this lesson, we take what we have learned about numbers, operations, and variables and apply it to simple geometry. 13 Total Points
  • Lesson 12 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 12 – Geometry I: Rectangles and Triangles
  • Assessment: Lesson 12 Exercises

Lesson 13 - Geometry II

In this lesson, we apply our basic algebra skills to the properties of circles. We look at the circumference and area of a circle, and we introduce the number pi (π) Additional lesson topics: Area of a Circle 14 Total Points
  • Lesson 13 Video
  • Review 4 Practice Worksheets
  • Assessment: Lesson 13 – Geometry II
  • Assessment: Lesson 13 Exercises

Lesson 14 - Introduction to Probability

In this lesson, we take some of the principles we have learned in previous lessons and apply them to some simple concepts and problems in probability. 15 Total Points
  • Lesson 14 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 14 Introduction to Probability
  • Assessment: Lesson 14 Exercises

Lesson 15 - Introduction to Statistics

The final lesson of this course looks at statistics, which is a subject that is closely related to probability. 235 Total Points
  • Lesson 15 Video
  • Review 5 Practice Worksheets
  • Lesson discussions: End of Course Poll; Program Evaluation Follow-up Survey (End of Course); Course Comments
  • Assessment: Lesson 15 Introduction to Statistics
  • Assessment: The Final Exam
  • Assessment: Lesson 15 Exercises
461
Total Course Points
 

Learning Outcomes

By successfully completing this course, students will be able to:
  • Describe basic operations or numbers and signs.
  • Solve simple to complex fraction problems.
  • Solve problems involving decimals, percents, and ratios.
  • Solve problems involving exponents.
  • Solve problems involving radicals.
  • Summarize variables and algebraic relations.
  • Graph algebraic relations.
  • Solve linear equations.
  • Solve problems involving basic geometry, rectangles and triangles.
  • Solve probability and statistics problems.
  • Demonstrate mastery of lesson content at levels of 70% or higher.
 

Additional Course Information

Online CEU Certificate
  • Document Your Lifelong Learning Achievements
  • Earn an Official Certificate Documenting Course Hours and CEUs
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  • Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media
Document Your CEUs on Your Resume
 
Course Title: Pre-Algebra 101
Course Number: 9770449
Lessons Rating: 4.3 / 5 Stars (2,972 votes)
Languages: English - United States, Canada and other English speaking countries
Availability: This course is online and available in all 50 states including: California, Florida, Georgia, Illinois, New York, Pennsylvania, Ohio, Texas, and Washington.
Last Updated: October 2022
Course Type: Self-Paced, Online Class
CEU Value: 1.4 IACET CEUs (Continuing Education Units)
CE Accreditation: Universal Class, Inc. has been accredited as an Authorized Provider by the International Association for Continuing Education and Training (IACET).
Grading Policy: Earn a final grade of 70% or higher to receive an online/downloadable CEU Certification documenting CEUs earned.
Assessment Method: Lesson assignments and review exams
Instructor: April Cordry-Moore
Syllabus: View Syllabus
Course Fee: $95.00 U.S. dollars

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Student Testimonials

  • "Excellent Course. The instructor made this an enjoyable online experience and the lesson topics and layout will help me become a better math teacher." -- Annette K.
  • "I really appreciated how April went above and beyond. In one test, I was completely baffled by a question but I had guessed the correct answer, so I didn't receive the explanatory text as one does for incorrect responses. I emailed April with the details of the question that I recalled and asked for her help in understanding it. She tracked down the question and helped me understand the correct response. Many instructors will help you understand questions you get wrong, but April helps to make sure that you understand the questions that you get right too - so that in the future your correct response is not an accident!" -- Rachel B.
  • "The instructor followed my test and exercise results very promptly. I didn't think she would be available on weekends." -- Harry T.
  • "The instructor graded all of my exams quickly and provided prompt responses to my questions." -- John A.
  • "The instructor was very timely with the results and feedback of my exam." -- Serena V.
  • "Very helpful and quick to reply to my emails." -- Frieda F.
  • "My teacher did a great work." -- Sunghee M.
  • "What I liked most were the tests and assignments. It evaluates my knowledge." -- Sunghee M.
  • "What was most helpful were the detailed course lessons and the examples provided. Instructor was very knowledgeable and was very good about giving detailed feedback to correct any mistakes or misunderstandings." -- William Hunter R.
  • "I enjoyed this course. I'm also glad I could get on this course as often as I could. I liked the 5 exercises before the assignments in each chapter, plus the videos helped. The break down of the material was good too. Also I noticed that the assignments and the exercises addressed my working knowledge of my work and the test addressed my verbal knowledge, which is good. I notice that I have some problems with verbal knowledge. This has to do with me and maybe a health problem. I'm glad to know this. It tells me what to work on." -- Debbie E.

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