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Course Syllabus: Pre-Algebra 101


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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.

The 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.

The 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.

The 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, the 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.

Course Requirements

There are no pre requisites. Anyone over the age of 13 is welcome to join this course. It is recommended though that individuals have obtained a ninth grade education in order to grasp the Math information presented.

Course Topics

 

1. Review of basic arithmetic operations (addition/subtraction, multiplication/division)

2. Fractions I

3. Fractions II

4. Decimals, percents, and ratios

5. Exponents I: Introduction and order of operations

6. Exponents II: Rules of exponents

7. Radicals I

8. Radicals II

9. Variables and algebraic relations

10. Graphing algebraic relations

11. Solving linear equations

12. Geometry I

13. Geometry II

14. Introduction to probability

15. Introduction to statistics

Course Materials

No additional course materials required to complete this course.

Grading Policy

Each lesson will include a practice assignment that will directly apply what you have learned.
A brief 10 pt. quiz will follow each lesson. Students will successfully complete this course with 70% or better

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.
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Assessment Guide

Introduction Assignment1
Lesson 1 Exercises7
Lesson 1 - Review of Basic Operations10
Lesson 2 Exercises9
Lesson 2 – Fractions I10
Lesson 3 Exercises8
Lesson 3 – Fractions II10
Lesson 4 Exercises10
Lesson 4 – Decimals, Percents, and Ratios10
Lesson 5 Exercises8
Lesson 5 – Exponents I10
Lesson 6 Exercises9
Lesson 6 – Exponents II10
Lesson 7 Exercises8
Lesson 7 – Radicals I10
Lesson 8 Exercises6
Lesson 8 – Radicals II10
Lesson 9 Exercises4
Lesson 9 Variables and Algebraic Relations10
Lesson 10 Graphing Algebraic Relations10
Lesson 11 Exercises4
Lesson 11 Solving Linear Equations10
Lesson 12 Exercises3
Lesson 12 – Geometry I: Rectangles and Triangles10
Lesson 13 Exercises4
Lesson 13 – Geometry II10
Lesson 14 Exercises5
Lesson 14 Introduction to Probability10
Lesson 15 Exercises6
Lesson 15 Introduction to Statistics9
The Final Exam220
Total Points:461
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