Prealgebra – Homeschool

Course Description

Prealgebra serves as a critical bridge between arithmetic and Algebra 1. This course solidifies essential skills while introducing foundational algebraic concepts that prepare students for future success in algebra-based math.

Students will review arithmetic operations and progress into working with variable expressions, solving linear equations, graphing on a coordinate plane, and applying geometric formulas. Key topics also include ratios and proportions, percents, markups and discounts, and an introduction to statistics.
(See the full Table of Contents below.)


How the Course Works

  1. The student begins by watching a video lesson, then starts the corresponding textbook assignment the same day, working until their scheduled math time ends.

  2. The next day, the student continues the assignment until it is completed or until the end of the allotted time. A third day may be needed—and that’s perfectly okay.

  3. On the following day, the student moves on to the next section and repeats the process.

  4. After completing several sections—or at the end of a chapter—the student takes a practice test and checks their answers using the provided answer key. Parents may assist in this process.

  5. Once ready, the student takes the chapter test under parent supervision. Test keys include point values for grading. If there are any grading questions, contact Cool Math Guy—we’re happy to walk through it with you.


When Help Is Needed

If students or parents encounter difficulties, support is available through multiple methods:

  1. Re-watch the video lesson.
  2. Review similar examples in the textbook.
  3. Consult the solutions manual for step-by-step guidance.
  4. Submit a question through the Cool Math Guy website. Replies typically arrive within 24 hours.

Sample Videos from this Course

Section 2.3 Multiplication and Division of Integers
Section 5.4 Multiplication of Monomials
Section 7.5 Direct and Inverse Variation
Section 9.1 Introduction to Geometry

Table of Contents

  • 1.1  Introduction to Whole Numbers
  • 1.2  Addition and Subtraction of Whole Numbers
  • 1.3  Multiplication and Division of Whole Numbers
  • 1.4  Solving Equations with Whole Numbers
  • 1.5  The Order of Operations Agreement
  • 2.1  Introduction to Integers
  • 2.2  Addition and Subtraction of Integers
  • 2.3  Multiplication and Division of Integers
  • 2.4  Solving Equations with Integers
  • 2.5  The Order of Operations Agreement
  • 3.1  Least Common Multiple and Greatest Common Factor
  • 3.2  Introduction to Fractions
  • 3.3  Multiplication and Division of Fractions
  • 3.4  Addition and Subtraction of Fractions
  • 3.5  Solving Equations with Fractions
  • 3.6  Exponents, Complex Fractions, and the Order of Operations Agreement
  • 4.1  Introduction to Decimals
  • 4.2  Addition and Subtraction of Decimals
  • 4.3  Multiplication and Division of Decimals
  • 4.4  Solving Equations with Decimals
  • 4.5  Radical Expressions
  • 4.6  Real Numbers
  • 5.1  Properties of Real Numbers
  • 5.2  Variable Expressions in Simplest Form
  • 5.3  Addition and Subtraction of Polynomials
  • 5.4  Multiplication of Monomials
  • 5.5  Multiplication of Polynomials
  • 5.6  Division of Monomials
  • 5.7  Verbal Expressions and Variable Expressions
  • 6.1  Equations of the Form x + a = b and ax=b
  • 6.2  Equations of the Form ax + b = c
  • 6.3  General First-Degree Equations
  • 6.4  Translating Sentences into Equations
  • 6.5  The Rectangular Coordinate System
  • 6.6  Graphs of Straight Lines
  • 7.1  The Metric System of Measurement
  • 7.2  Ratios and Rates
  • 7.3  The U.S. Customary System of Measurement
  • 7.4  Proportion
  • 7.5  Direct and Inverse Variation
  • 8.1  Percent
  • 8.2  The Basic Percent Equation
  • 8.3  Percent Increase and Percent Decrease
  • 8.4  Markup ad Discount
  • 8.5  Simple Interest
  • 9.1  Introduction to Geometry
  • 9.2  Plane Geometric Figures
  • 9.3  Triangles
  • 9.4  Solids
  • 10.1  Organizing Data
  • 10.2  Statistics Measures
  • 10.3  Introduction to Probability

Supporting Parents

We understand that questions can come up, especially in the beginning. Personal support is available via text, email, or phone. We’re here to help both parents and students every step of the way.


Course Materials

Textbook Recommendations

The following textbooks are directly correlated with the Prealgebra video instruction. Both include answer keys in the back of the book, and optional solutions manuals offer step-by-step guidance. Used copies are widely available online at affordable prices.

Option 1
Prealgebra, 5th Edition by Aufmann and Lockwood

Option 2
Prealgebra, 6th Edition by Aufmann and Lockwood

 

Practice Tests, Tests, and Answer Keys

All assignments and testing materials are available to subscribers through a password-protected link.


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