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.
- Completely Online
- Self-Paced
- 6 Months to Complete
- 24/7 Availability
- Start Anytime
- PC & Mac Compatible
- Android & iOS Friendly
- Accredited CEUs
Learning Outcomes
- 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.
Assessment Guide
| Assessment | Points |
|---|---|
| Introduction Assignment | 1 points |
| Lesson 1 - Review of Basic Operations | 10 points |
| Lesson 1 Exercises | 7 points |
| Lesson 2 – Fractions I | 10 points |
| Lesson 2 Exercises | 9 points |
| Lesson 3 Activity | 1 points |
| Lesson 3 – Fractions II | 10 points |
| Lesson 3 Exercises | 8 points |
| Lesson 4 Activity | 1 points |
| Lesson 4 – Decimals, Percents, and Ratios | 10 points |
| Lesson 4 Exercises | 10 points |
| Lesson 5 Activity | 1 points |
| Lesson 5 – Exponents I | 10 points |
| Lesson 5 Exercises | 8 points |
| Lesson 6 Activity | 1 points |
| Lesson 6 – Exponents II | 10 points |
| Lesson 6 Exercises | 9 points |
| Lesson 7 Activity | 1 points |
| Lesson 7 – Radicals I | 10 points |
| Lesson 7 Exercises | 8 points |
| Lesson 8 Activity | 1 points |
| Lesson 8 – Radicals II | 10 points |
| Lesson 8 Exercises | 6 points |
| Lesson 9 Variables and Algebraic Relations | 10 points |
| Lesson 9 Exercises | 4 points |
| Lesson 10 – Graphing Algebraic Relations | 10 points |
| Lesson 11 Solving Linear Equations | 10 points |
| Lesson 11 Exercises | 4 points |
| Lesson 12 – Geometry I: Rectangles and Triangles | 10 points |
| Lesson 12 Exercises | 3 points |
| Lesson 13 – Geometry II | 10 points |
| Lesson 14 Introduction to Probability | 10 points |
| Lesson 14 Exercises | 5 points |
| Lesson 15 Introduction to Statistics | 9 points |
| The Final Exam | 220 points |
| Lesson 15 Exercises | 6 points |
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