Class Syllabus: Math All-In-One (Arithmetic, Algebra, & Geometry Review)

Office Hours:	Continuous
Course Meeting Times:	Continuous

Course Description

This self-paced All-In-One Math Course reviews the basics of arithmetic, algebra and geometry. The condensed course covers the following material:

-Arithmetic: ( reviewing the use of numbers, signs and symbols, how to perform various operations, how to solve problems with Fractions, Percents and Decimals, and much more).

-Algebra: ( reviewing linear Equations and Inequalities, how to solve various word problems, how to simplify and factor numbers, and much more).

-Geometry: ( reviewing Geometric Concepts and Relationships, understanding Measurements of Congruence and Similarity, the Pythagorean Theorem, and much more).

This compact course is an ideal "crash course" for anyone needing review or instruction in these math areas or anyone who wants to improve results on high school or college exams. If you want a jump start before starting college or just interested in learning how to solve Math problems this is the course for you.

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

Arithmetic Lesson 1 - Numbers and Terminology

Arithmetic Lesson 2 - Addition

Arithmetic Lesson 3 - Subtraction

Arithmetic Lesson 4 - Multiplication

Arithmetic Lesson 5 - Division

Arithmetic Lesson 6 - Signs used in Operations - Positive and Negative Numbers

Arithmetic Lesson 7 - Operations and Properties

Arithmetic Lesson 8 - Fractions

Arithmetic Lesson 9 - Decimals/The Decimal Number System

Arithmetic Lesson 10 - Percents

Arithmetic Lesson 11 - Other Operations

Arithmetic Lesson 12 - Calculators: Using a Calculator

Basic Algebra Lesson 13 - Terminology: Words and Symbols

Basic Algebra Lesson 14 - Properties and Principles of Equations

Basic Algebra Lesson 15 - Directed Numbers in Equations

Basic Algebra Lesson 16 - Solving Problems using Equations and Inequalities

Basic Algebra Lesson 17 - Exponents and Roots

Algebra Lesson 18 - Polynomials

Algebra Lesson 19 - Fractions

Algebra Lesson 20 - Factoring to Solve Problems

Algebra Lesson 21 - Factoring to Solve Problems (Part 2)

Algebra Lesson 22 - Linear Equations and Inequalities

Algebra Lesson 23 - Solving Systems of Equations

Algebra Lesson 24 - More Quadratic Equation Solution Methods

Geometry Lesson 25 - Geometry Terms and Motivation

Geometry Lesson 26 - Geometric Reasoning and Measurement

Geometry Lesson 27 - Angles and Parallelism

Geometry Lesson 28 - Triangles I: Properties of Triangles

Geometry Lesson 29- Triangles II: Congruent Triangles

Geometry Lesson 30 - Triangles III: Similar Triangles

Geometry Lesson 31 - Quadrilaterals

Geometry Lesson 32 - Polygons

Geometry Lesson 33 - Circles

Geometry Lesson 34 - Composite Figures

Geometry Lesson 35 - Classical Construction

Geometry Lesson 36 - Practical Geometry Problems

Intermediate Geometry Lesson 37 - Three-Dimensional Geometry I

Intermediate Geometry Lesson 38 - Three-Dimensional Geometry II

Intermediate Geometry Lesson 39 - Geometry and Trigonometry

Course Materials

No additional course materials required to complete this course.

Grading Policy

There are about 40 lessons that are followed by a quiz and/assignment and numerous practice exercises.

Learning Outcomes

By successfully completing this course, students will be able to:

Identify numbers and signs.
Solve addition, subtraction, division, and multiplication problems.
Identify symbols and operations.
Solve fraction, decimal and percent problems.
Summarize basic algebra terms.
Solve linear equations and inequalities.
Solve algebra word problems.
Demonstrate solving algebra problems with simplification.
Solve algebraic fraction problems.
Define lines, points, and space in geometric terms.
Summarize geometric concepts and relationships.
Identify the Pythagorean Theorem.
Summarize measurements of congruence and similarity.
Summarize coordinate geometry.
Solve geometric problems involving perimeters and areas.
Solve geometric problems involving volumes and surface areas, and
Demonstrate mastery of lesson content at levels of 70% or higher.

Recommended Books

Featured Courses in Mathematics

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