Math All-In-One (Arithmetic, Algebra, and Geometry Review)
with CEU Certificate*
have taken this course
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.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.
Universal Class, Inc. has been approved as an Accredited Provider by the International Association for Continuing Education and Training (IACET). In obtaining this approval, Universal Class, Inc. has demonstrated that it complies with the ANSI/IACET Standard which is widely recognized as the Standard of good practice internationally. As a result of their Accredited Provider status, Universal Class, Inc. is authorized to offer IACET CEUs for its courses that qualify under the ANSI/IACET Standard.
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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
Course Title: Math All-In-One (Arithmetic, Algebra, and Geometry Review)Course Number: 7550574Languages: English - United States, Canada, United Kingdom, Australia, New Zealand, and other English speaking countriesCourse Type: General EducationCEU Value: 3.5 IACET CEUs (Continuing Education Units)CE Accreditation: Universal Class, Inc. has been accredited as an Authorized Provider by the International Association for Continuing Education and Training (IACET).Grading Policy: Earn a final grade of 70% or higher to receive an online/downloadable CEU Certification documenting CEUs earnedAssessment Method: Lesson assignments and review examsCourse URL: mathreview.onlineclasses.comInstructor: Jeff ClarkSyllabus: View SyllabusDuration: Continuous: Enroll anytime!Requirements: View Technical RequirementsCourse Fee: $85.00 (no CEU Certification) || with CEU Certification: $110.00
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Learning OutcomesBy 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.
An Introduction Assignment 5 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 Total Points: 1410
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