Math All-In-One: Arithmetic, Algebra, and Geometry Review
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| | Course Cost: 6 Month Subscription Course (no Certificate) = $70.00 Course with CEU Certificate* = $95.00 | * Instantly download, print, and share your CEU Certificate at course completion (additional shipping/handling charges apply for hard copy delivery).
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The course goal of Math All-In-One is for students to be able to successfully solve math related problems in various formats that deal with topics in arithmetic, algebra and geometry.
 Course Description This self-paced All-In-One Math Course reviews the basics of arithmetic, algebra and geometry. This 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. 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.
Course Lessons |  | Arithmetic Lesson 1 - Numbers and TerminologyThis lesson focuses on numbers and terminology, such as digits, place values, and variables. | Arithmetic Lesson 2 - AdditionThis lesson focuses on addition, both simple and carrying. | Arithmetic Lesson 3 - SubtractionThis lesson covers subtraction, both basic and borrowing. | Arithmetic Lesson 4 - MultiplicationThis lesson focuses on multiplication, including both single and multiple digits. | Arithmetic Lesson 5 - DivisionThis lesson covers division, including grouping, facts, and single and multiplier divisors. | Arithmetic Lesson 6 - Signs used in Operations - Positive and Negative NumbersThis lesson focuses on signs used in operations, including positive and negative numbers. | Arithmetic Lesson 7 - Operations and PropertiesThis lesson looks at operations and properties, including closure, and order of operations. | Arithmetic Lesson 8 - FractionsThis lesson focuses on fractions, including adding, subtracting, multiplying, and dividing. | Arithmetic Lesson 9 - Decimals/The Decimal Number SystemThis lesson focuses on decimals, including moving them, converting fractions, adding and subtracting, etc. | Arithmetic Lesson 10 - PercentsThis lesson focuses on using percents, including converting. | Arithmetic Lesson 11 - Other OperationsThis lesson looks at other operations, including rounding, estimating, exponents, powers, etc. | Arithmetic Lesson 12 - Calculators: Using a CalculatorThis final lesson in this section focuses on correctly using a calculator. | Basic Algebra Lesson 13 - Terminology: Words and SymbolsThis lesson will cover these topics:
Numbers;
Numerals, Numbers, and Digits – What's the Difference?;
Equivalent, Greater Than, and Less Than (mathematical sentences: equality or inequality?);
Variables and Constants;
Axioms and Proper | Basic Algebra Lesson 14 - Properties and Principles of EquationsThis lesson will cover these topics:
Special
Addition and Subtraction Properties of Equations;
Multiplication and Division Properties of Equations;
Using the Properties to Simplify Terms in Equations, including Variables;
Transformation Princip | Basic Algebra Lesson 15 - Directed Numbers in EquationsThis lesson will cover these topics:
Understanding Directed (Positive and Negative) Numbers;
Adding and Subtracting with Directed Numbers;
Additive Inverse;
Multiplying and Dividing with Directed Numbers;
Multiplicative Inverse of a Number;
How | Basic Algebra Lesson 16 - Solving Problems using Equations and InequalitiesThis lesson will cover these topics:
Parentheses, Brackets, and Order of Operations;
Simplifying an Algebraic Expression;
The Steps to Solving a Problem;
Problem Solving Examples;
Practice Problems. | Basic Algebra Lesson 17 - Exponents and RootsThis lesson will cover these topics:
Bases, Factors, and Exponents;
Expressing Exponents in Words;
Negative Exponents and Negative Bases;
Adding and Subtracting Numbers with Exponents;
Multiplying and Dividing Numbers with Exponents. | Algebra Lesson 18 - PolynomialsLesson topics will include:
What is a Polynomial?;
Adding and Subtracting Polynomials;
Multiplying and Dividing Polynomials;
The Product of Powers and the Power of a Product;
Uses of Polynomials – Area and Volume Problems. | Algebra Lesson 19 - FractionsThis lesson will cover these topics: What is a Fraction?;
Proper Fractions, Improper Fractions, and Mixed Numbers;
Equivalent Fractions and Lowest Terms;
Greatest Common Factor and Lowest Common Denominator;
Adding and Subtracting Fractions;
Multiply | Algebra Lesson 20 - Factoring to Solve ProblemsThis lesson will cover these topics:
Common Factors;
Using the Distributive Property in Graphing;
Factoring the Difference of Two Squares;
Squaring a Binomial | Algebra Lesson 21 - Factoring to Solve Problems (Part 2)This lesson will cover these topics:
Combining Types of Factoring;
Uses of Factoring - Examples. | Algebra Lesson 22 - Linear Equations and InequalitiesThis lesson will cover these topics:
What Do Linear Equations Look Like?;
The x and y Intercepts | Algebra Lesson 23 - Solving Systems of EquationsThis lesson will cover these topics:
Two Variables and Two Sentences;
Solving by Substitution;
Solving with Addition or Subtraction to Eliminate a Variable;
Solving by Graphing;
Systems of Three or More Sentences. | Algebra Lesson 24 - More Quadratic Equation Solution MethodsThis lesson will cover these topics:
The Property of Square Roots of Equal Numbers;
Completing the Trinomial Square;
The Quadratic Formula;
Quadratic Inequalities | Geometry Lesson 25 - Geometry Terms and MotivationTo begin the sectionn on Geometry, we first discuss why the study of geometry can be beneficial, both in school and work as well as in daily life. | Geometry Lesson 26 - Geometric Reasoning and MeasurementTo aid in our discussion of geometry, this lesson reviews some fundamental principles of geometric reasoning and measurement that will aid our analysis throughout the course. | Geometry Lesson 27 - Angles and ParallelismIn this lesson, we introduce the concept of an angle and discuss the relationships among angles formed by intersecting lines. | Geometry Lesson 28 - Triangles I: Properties of TrianglesThis lesson introduces our first polygon: the triangle. We consider what constitutes a triangle as well as several types of triangles with special properties. | Geometry Lesson 29- Triangles II: Congruent TrianglesThis lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles. | Geometry Lesson 30 - Triangles III: Similar TrianglesThis lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarity | More Class Lessons... |
Additional Information | Course Title | : | Math All-In-One (Arithmetic, Algebra, and Geometry Review) | | 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 | : | 7550574 | | Course Type | : | General Education | | 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: $70.00 (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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