Online Class: Pre-Algebra 101

This course strengthens the transition from basic arithmetic to algebra, unraveling the complexities of fractions, exponents, and radical expressions. Incorporate graphing techniques and solve linear equations to apply mathematical concepts to geometry and statistics in practical scenarios.
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  • 15
    Lessons
  • 36
    Exams &
    Assignments
  • 9,460
    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:
4.2 / 5 Stars (Average Rating)
"Extraordinarily Helpful"
(3,148 votes)

  • Lesson 1. Essentials of Basic Arithmetic

    Focusing on basic arithmetic principles like the commutative property and operations with negative numbers, this lesson connects mathematical theory with practical problem-solving. It offers strategies for mastering operations and emphasizes the cognitive benefits of minimizing calculator use, setting a robust foundation for continued study in mathematics.

  • Lesson 2. Fraction Foundations

    Fractions introduce the concept of dividing numbers to represent parts of a whole, classifying them as either proper or improper based on the relationship between the numerator and denominator. Understanding equivalent fractions and reducing them to their lowest terms helps in performing operations like addition and subtraction effortlessly.

  • Lesson 3. Mastering Fractions: Arithmetic and Beyond

    This lesson explores the arithmetic of fractions, covering addition, subtraction, multiplication, and division, even when involving integers and complex fractions. Key strategies include finding common denominators and using reciprocals for simplification.

  • Lesson 4. Decimals, Percents, and Ratios 101

    The lesson introduces decimals, percents, and ratios as essential tools for describing proportions and relationships between numbers. It focuses on improving the ability to convert between these formats seamlessly.

  • Lesson 5. Exponents: The Stepping Stones to Powers

    Exponents reduce repeated multiplication into a concise form and have versatile verbal expressions beneficial for communication in mathematics. The lesson emphasizes following the established order of operations to tackle complex arithmetic expressions correctly.

  • Lesson 6. Exploring Scientific Notation through Exponents

    Building on your foundational knowledge of exponents, this lesson delves into rules for multiplying, dividing, and understanding negative exponents. It also highlights how to apply exponents through scientific notation for simplifying complex decimal values.

  • Lesson 7. The Power of Roots

    In this lesson, we explore the radical symbol, which signifies roots and connects to fractional exponents for an insight into numbers' roots. By mastering radicals, one can evaluate expressions involving roots and apply arithmetic operations efficiently.

  • Lesson 8. Working with Radical Expressions

    Exploring radical arithmetic involves using properties like associativity and distributivity to simplify expressions, ensuring precise results. Learning to add, subtract, multiply, and divide radicals prepares students for handling complex expressions involving irrational numbers.

  • Lesson 9. Exploring Variables and Simple Equations

    This lesson introduces variables and algebraic relations, focusing on the relationship between independent and dependent variables and their roles in forming equations. It provides strategies for evaluating algebraic expressions by substituting values into the independent variable.

  • Lesson 10. From Equations to Images: An Introduction to Graphing Algebraic Relations

    Understanding the real number line and the concept of coordinates allows for accurate graphing of complex algebraic relations. Using horizontal and vertical axes, we can visualize the independent and dependent variables effectively.

  • Lesson 11. Unlocking the Secrets of Linear Equations

    By manipulating equations uniformly on both sides, we model how to solve linear equations and delve into principles that can be extended to more complex equations. Central to the lesson is understanding the relationship maintenance between independent and dependent variables.

  • Lesson 12. Understanding Basics: Rectangles and Triangles

    Students learn to connect algebraic concepts with geometry by calculating perimeters and areas of rectangles and triangles, using mathematical representations and operations. Essential terms related to geometry like points and angles are also detailed for foundational comprehension.

  • Lesson 13. Circle Geometry: Basics and Beyond

    Bridging algebra with geometry, this lesson examines circles by defining circumferential relationships through pi (?) and geometrical terms like radius and diameter. Calculating circle circumference and area shows how mathematical constants interplay in real-world geometric scenarios.

  • Lesson 14. The Basics of Fairness and Chance

    Understanding probability requires defining key terms such as fair and random and distinguishing between selection with or without replacement in successive events. Calculating probabilities involves determining the ratio of successful outcomes in situations like coin flips, dice rolls, or card draws.

  • Lesson 15. Quantifying the 'Middle': Average, Median, and Mode

    Understanding the 'middle' of data sets involves calculating averages, medians, and modes, enabling clearer interpretations although misinterpretation is possible if outlying data skews results.
 

Learning Outcomes

By successfully completing this course, students will be able to:
  • Define and identify the commutative properties of addition and multiplication by solving problems with both positive and negative numbers.
  • Demonstrate the ability to perform basic operations, including addition, subtraction, multiplication, and division, with a focus on understanding the role of negative numbers.
  • Identify and convert between equivalent fractions and express fractions in their lowest terms
  • Recognize and describe the parts of a fraction, including the numerator and denominator
  • Demonstrate the ability to multiply and divide fractions, including complex fractions, by utilizing the concept of reciprocals and simplifying results when necessary.
  • Recognize and apply the process of finding a common denominator to add and subtract fractions accurately.
  • Describe the relationship between percents, decimals, and ratios, and convert between these forms in various contexts.
  • Recognize and accurately convert decimals to fractions and vice versa, demonstrating understanding of rational and irrational numbers.
  • Apply the order of operations (PEMDAS) to solve mathematical expressions accurately
  • Evaluate simple exponential expressions correctly
  • Recognize and convert repeated multiplication to exponential form accurately
  • Derive and apply the rules for multiplying and dividing exponential expressions with the same base.
  • Interpret and explain the meaning and application of negative exponents in simplifying expressions and scientific notation.
  • 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
  • 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
Document Your CEUs on Your Resume
 
Course Title: Pre-Algebra 101
Course Number: 9770449
Lessons Rating: 4.2 / 5 Stars (3,148 votes)
Languages: English - United States, Canada and other English speaking countries
Availability: This course is fully available online in all 50 states, including California, Texas, Florida, New York, Pennsylvania, Illinois, Ohio, and Georgia. It’s also offered in major English-speaking countries, such as the United Kingdom, Canada, Australia, and Ireland.
Last Updated: February 2024
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.
Course Type: Self-Paced, Online Classes
Assessment Method: Lesson assignments and review exams
Instructor: April Cordry-Moore
Syllabus: View Syllabus
Course Fee: $120.00 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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