Math All-In-One (Arithmetic, Algebra, and Geometry Review)
with CEU Certificate*
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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.
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.
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- Instructor Support
- IACET CEUs
- 6 Months to Complete
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- Start Anytime
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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 Course Information
- Document Your Lifelong Learning Achievements
- Earn an Official Certificate Documenting Course Hours and CEUs
- Verify Your Certificate with a Unique Serial Number Online
- View and Share Your Certificate Online or Download/Print as PDF
- Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media
- 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.
|Lesson 1 Assignment: Identifying Numbers||Assignment||20|
|Quiz for Lesson 1 - Numbers and Terminology||Exam||10|
|Lesson 2 Assignment: Practicing Addition||Assignment||20|
|Quiz for Lesson 2 - Addition||Exam||10|
|Lesson 3 Assignment: Subtraction Practice||Assignment||20|
|Quiz for Lesson 3 - Subtraction||Exam||10|
|Lesson 4 Assignment: Multiplication Exercises||Assignment||20|
|Quiz for Lesson 4 : Multiplication||Exam||10|
|Lesson 5 Assignment: Division Practice||Assignment||20|
|Quiz for Lesson 5 - Division||Exam||10|
|Lesson 6 Assignment: Practice with Signs||Assignment||20|
|Quiz for Lesson 6 - Signs used in Operations – Positive and Negative Numbers||Exam||10|
|Lesson 7 Assignment: Order of Operation Problems||Assignment||20|
|Lesson 8 Assignment: Practice with Fractions||Assignment||20|
|Quiz for Lesson 8 - Fractions||Exam||10|
|Lesson 9 Assignment: Decimal Practice||Assignment||20|
|Quiz for Lesson 9 - Decimals/The Decimal Number System||Exam||10|
|Lesson 10 Assignment: Practicing Percents||Assignment||20|
|Quiz for Lesson 10 - Percents||Exam||10|
|Lesson 11 Assignment: Practicing Other Operations||Assignment||20|
|Quiz for Lesson 11 - Other Operations||Exam||10|
|Lesson 12 Assignment: Using the Calculator||Assignment||20|
|Basic Math Review||Exam||53|
|Quiz for Lesson 13- Terminology: Words and Symbols||Exam||10|
|Lesson 14 Assignment||Assignment||20|
|Quiz for Lesson 14- Properties and Principles of Equations||Exam||10|
|Quiz for Lesson 15 - Directed Numbers in Equations||Exam||9|
|Lesson 16 Assignment||Assignment||20|
|Quiz for Lesson 16- Solving Problems using Equations and Inequalities||Exam||9|
|Lesson 17 Assignment||Assignment||20|
|Quiz for Lesson 17 - Exponents and Roots||Exam||10|
|Lesson 18 Assignment||Assignment||20|
|Quiz for Lesson 18 - Polynomials||Exam||9|
|Lesson 19 Assignment||Assignment||20|
|Quiz for Lesson 19 - Fractions||Exam||10|
|Lesson 21 Assignment||Assignment||20|
|Quiz for Lesson 21 - Factoring to Solve Problems||Exam||10|
|Lesson 22 Assignment||Assignment||20|
|Quiz for Lesson 22 - Linear Equations and Inequalities||Exam||7|
|Lesson 23 Assignment||Assignment||20|
|Quiz for Lesson 23 - Solving Systems of Equations||Exam||8|
|Lesson 24 Assignment||Assignment||20|
|Quiz for Lesson 24 - More Quadratic Equation Solution Methods||Exam||8|
|Basic Algebra Review||Exam||225|
|Lesson 25 Assignment||Assignment||25|
|Quiz for Lesson 25- Terms and Motivation||Exam||10|
|Lesson 26 Assignment||Assignment||20|
|Quiz for Lesson 26 Reasoning and Measurement||Exam||10|
|Lesson 27 Assignment||Assignment||20|
|Lesson 27B Assignment||Assignment||25|
|Lesson 28 Assignment||Assignment||25|
|Quiz for Lesson 28 - Triangles I: Properties of Triangles||Exam||10|
|Lesson 29 Assignment||Assignment||25|
|Quiz for Lesson 29- Triangles II: Congruent Triangles||Exam||10|
|Lesson 30 Assignment||Assignment||25|
|Quiz for Lesson 30- Triangles III: Similar Triangles||Exam||7|
|Lesson 31 Assignment||Assignment||20|
|Quiz for Lesson 31- Quadrilaterals||Exam||10|
|Lesson 32 Assignment||Assignment||20|
|Lesson 32B Assignment||Assignment||25|
|Quiz for Lesson 32- Polygons||Exam||10|
|Lesson 33 Assignment||Assignment||20|
|Quiz for Lesson 33- Circles||Exam||10|
|Lesson 34 Assignment||Assignment||20|
|Quiz for Lesson 34- Composite Figures||Exam||10|
|Lesson 35 Assignment||Assignment||20|
|Quiz for Lesson 35- Classical Construction||Exam||10|
|Lesson 36 Assignment||Assignment||20|
|Quiz for Lesson 36- Practical Geometry Problems||Exam||10|
|Lesson 37 Assignment||Assignment||20|
|Quiz for Lesson 37- Three-Dimensional Geometry I||Exam||10|
|Lesson 38 Assignment||Assignment||20|
|Quiz for Lesson 38- Three-Dimensional Geometry II||Exam||10|
|Lesson 39 Assignment||Assignment||20|
|Quiz for Lesson 39- Geometry and Trigonometry||Exam||10|
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