Pricing
SearchOnline Class: Pre-Algebra 101
$50.00
no certificate
no certificate
- OR -
$75.00
with CEU Certificate*
with CEU Certificate*
-
15Lessons
-
31Exams &
Assignments -
14Hours
average time -
1.4CEUs
-
4,684Students
have taken this course
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.
- Completely Online
- Self-Paced
- Instructor Feedback
- 6 Months to Complete
- 24/7 Availability
- Start Anytime
- PC & Mac Compatible
- Android & iOS Friendly
- Accredited CEUs
Course Lessons
Average Lesson Rating: (612 votes)
"Extraordinarily Helpful"
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. 18 Total Points
- Lesson 1 Video A
- Lesson 1 Video B : How to Take an Exam
Review 5 Practice Worksheets
Review 2 Articles: Basic Math Review; Introduction to Negative Numbers
Complete: Introduction Assignment- Complete: Lesson 1 Exercises
- Complete Exam: Lesson 1 - Review of Basic Operations
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. 19 Total Points
- Lesson 2 Video
- Review 5 Practice Worksheets
- Review Article: Fraction Worksheets
- Complete: Lesson 2 Exercises
- Complete Exam: Lesson 2 – Fractions I
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
- Review Article: Fractions Help and Tutorials
- Complete: Lesson 3 Exercises
- Complete Exam: Lesson 3 – Fractions II
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
- Review 3 Articles: Convert Decimals to Fractions; Help with Ratios; Understanding Percentages
- Complete: Lesson 4 Exercises
- Complete Exam: Lesson 4 – Decimals, Percents, and Ratios
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). 18 Total Points
- Lesson 5 Video
- Review 5 Practice Worksheets
- Review Article: The Law of Exponents
- Complete: Lesson 5 Exercises
- Complete Exam: Lesson 5 – Exponents I
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
- Review 2 Articles: Exponents: Scientific Notation; Solving Negative Exponents
- Complete: Lesson 6 Exercises
- Complete Exam: Lesson 6 – Exponents II
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
- Review 2 Articles: How to Simplify Fraction Exponents; What is the definition of a square root?
- Complete: Lesson 7 Exercises
- Complete Exam: Lesson 7 – Radicals I
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). 16 Total Points
- Lesson 8 Video
- Review 5 Practice Worksheets
- Review Article: Operations With Radicals
- Complete: Lesson 8 Exercises
- Complete Exam: Lesson 8 – Radicals II
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
- Review Article: Explaining Independent and Dependent Variables
- Complete: Lesson 9 Exercises
- Complete Exam: Lesson 9 Variables and Algebraic Relations
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
- Review Article: Free graph paper and grids to print
- Complete Exam: 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
- Review Article: Strategies for Solving Linear Equations
- Complete: Lesson 11 Exercises
- Complete Exam: Lesson 11 Solving Linear Equations
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
- Review 2 Articles: Basic Geometry Concepts with Videos; How to Calculate Area
- Complete: Lesson 12 Exercises
- Complete Exam: Lesson 12 – Geometry I: Rectangles and Triangles
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) 14 Total Points
- Lesson 13 Video
- Review 4 Practice Worksheets
- Review Article: Area of a Circle
- Complete: Lesson 13 Exercises
- Complete Exam: Lesson 13 – Geometry II
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
- Review 2 Articles: How to Solve a Probability Math Problem; Introduction to Probability
- Complete: Lesson 14 Exercises
- Complete Exam: Lesson 14 Introduction to Probability
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
- Review Article: Mean Median and Range Worksheets
Take Poll: End of Course Poll- Take Survey: Program Evaluation Follow-up Survey (End of Course)
- Complete: Lesson 15 Exercises
- Complete Exam: Lesson 15 Introduction to Statistics
- Complete: The Final Exam
461
Total Course Points
Additional Course Information
- Document Your Lifelong Learning Achievements
- Earn an Official Certificate Documenting Course Hours and CEUs
- Verify Your Certificate with a Unique Serial Number Online
- View and Share Your Certificate Online or Download/Print as PDF
- Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media
Course Title:
Pre-Algebra 101
Course Number:
9770449
Languages:
English - United States, Canada and other English speaking countries
Category:
Course Type:
High School Level
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
Course Author:
Jeff Clark, Ph.D.
Instructor:
April Cordry-Moore
Syllabus:
View Syllabus
Duration:
Continuous: Enroll anytime!
Course Fee:
$50.00 (no CEU Certification) || with CEU Certification: $75.00
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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.
- Know variables and algebraic relations.
- Graph algebraic relations.
- Solve linear equations.
- Solve problems involving basic geometry, rectangles and triangles.
- Solve probability and statistics problems, and
- Demonstrate mastery of lesson content at levels of 70% or higher.
Student Testimonials
- "What I liked most were the tests and assignments. It evaluates my knowledge....My teacher did a great work." -- 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.
- "I just want to say express my sincere thank to the organizers and my instructor for being available for me. I learned a lot." -- Richard A.
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