Math All-In-One: Arithmetic, Algebra, and Geometry Review

Course Lessons

• Arithmetic Lesson 1 - Numbers and Terminology

  This lesson focuses on numbers and terminology, such as digits, place values, and variables.

• Arithmetic Lesson 2 - Addition

  This lesson focuses on addition, both simple and carrying.

• Arithmetic Lesson 3 - Subtraction

  This lesson covers subtraction, both basic and borrowing.

• Arithmetic Lesson 4 - Multiplication

  This lesson focuses on multiplication, including both single and multiple digits.

• Arithmetic Lesson 5 - Division

  This lesson covers division, including grouping, facts, and single and multiplier divisors.

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

  This lesson focuses on signs used in operations, including positive and negative numbers.

• Arithmetic Lesson 7 - Operations and Properties

  This lesson looks at operations and properties, including closure, and order of operations.

• Arithmetic Lesson 8 - Fractions

  This lesson focuses on fractions, including adding, subtracting, multiplying, and dividing.

• Arithmetic Lesson 9 - Decimals/The Decimal Number System

  This lesson focuses on decimals, including moving them, converting fractions, adding and subtracting, etc.

• Arithmetic Lesson 10 - Percents

  This lesson focuses on using percents, including converting.

• Arithmetic Lesson 11 - Other Operations

  This lesson looks at other operations, including rounding, estimating, exponents, powers, etc.

• Arithmetic Lesson 12 - Calculators: Using a Calculator

  This final lesson in this section focuses on correctly using a calculator.

• Basic Algebra Lesson 13 - Terminology: Words and Symbols

  This 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 Equations

  This 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 Equations

  This 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 Inequalities

  This 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 Roots

  This 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 - Polynomials

  Lesson 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 - Fractions

  This 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 Problems

  This 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 Inequalities

  This lesson will cover these topics:
  What Do Linear Equations Look Like?; The x and y Intercepts

• Algebra Lesson 23 - Solving Systems of Equations

  This 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 Methods

  This 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 Motivation

  To 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 Measurement

  To 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 Parallelism

  In 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 Triangles

  This 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 Triangles

  This lesson uses concepts from our introduction to triangles in the previous lesson and applies them to congruent triangles.

• Geometry Lesson 30 - Triangles III: Similar Triangles

  This lesson concludes our focus on triangles by considering another sense in which we can understand congruence and similarity

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