Online Class: Pre Algebra 101
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| | Course Cost: 6 Month Subscription Course (no Certificate) = $40.00 Course with CEU Certificate* = $65.00 | * Instantly download, print, and share your CEU Certificate at course completion (additional shipping/handling charges apply for hard copy delivery).
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 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. 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, and
- Demonstrate mastery of lesson content at levels of 70% or higher.
Course Lessons |  | Lesson 1 - Review of Basic OperationsThis lesson reviews the basic operations and some associated ideas, setting the stage for learning about fractions, the first main topic of the course. | Lesson 2 - Fractions IThis 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. | Lesson 3 - Fractions IIIn this lesson, we apply our fundamental understanding of fractions from the previous lesson to the basic arithmetic operations. | Lesson 4 - Decimals, Percents, and RatiosIn 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. | Lesson 5 - Exponents IIn this lesson, we introduce exponents, which are a way to represent repeated multiplication (just as multiplication is a way to represent repeated addition). | Lesson 6 - Exponents IISpecifically, this lesson considers rules for multiplying and dividing expressions with exponents, and it also explores the meaning of negative exponents. | Lesson 7 - Radicals IBy 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. | Lesson 8 - Radicals IIThe 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). | Lesson 9 - Variables and Algebraic RelationsThis 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. | Lesson 10 - Graphing Algebraic RelationsIn this lesson, we learn how to graph simple and moderately complicated algebraic relations. | Lesson 11 - Solving Linear EquationsIn this lesson, we learn how to manipulate equations by performing operations on both sides of the equation | Lesson 12 - Geometry I: Rectangles and TrianglesIn this lesson, we take what we have learned about numbers, operations, and variables and apply it to simple geometry. | Lesson 13 - Geometry IIIn 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) | Lesson 14 - Introduction to ProbabilityIn 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. | Lesson 15 - Introduction to StatisticsThe final lesson of this course looks at statistics, which is a subject that is closely related to probability. |
Additional Information | Course Title | : | Pre Algebra 101 | | CEU Value | : | | | Standard | : | Course Adheres to the ANSI/IACET 1-2007 Standard | | Accreditation | : | | | Languages | : | English - United States, Canada, United Kingdom, Australia, New Zealand, and other English speaking countries | | Course Number | : | 7550573 | | Course Type | : | High School Level | | Course URL | : | | | Course Rating | : |  | | Instructor | : | | | Syllabus | : | | | Grading Policy | : | Earn a final grade of 70% or higher to receive a CEU Certificate documenting CEUs earned | | Assessment Method | : | Lesson assignments and review exams | | Duration | : | Continuous: Enroll anytime! | | Requirements | : | View Technical Requirements | | Course Fee | : | Basic Course: $40.00 (no CEU Certificate) | | | | | NOT FOR COLLEGE CREDIT This is a non-credit course, and is provided for your personal enrichment.
This course is not intended to be a substitute for any state, government, licensing, certification or educational requirements.
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