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 watches a video lesson and begins the corresponding exercises assignment on the same day, working until the scheduled math time ends.

  2. The next day, the student continues the assignment until it is completed or until math time ends. A third day may be needed to finish the work—and that's okay.

  3. After completing the assignment, the student moves on to the next section, following the same routine.

  4. After several sections — or at the end of a chapter — the student prepares for a test by taking a practice test provided in the course materials. After taking the practice test, use the practice test key to verify correct answers and methods.

  5. When ready, the student takes the test provided in the course materials. After proctoring the test, parents grade the test using the test key provided in the course materials. Questions about grading are welcome. Dana is happy to walk through the process with parents.


When Help Is Needed

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

  1. Re-watch similar examples in the video lesson.
  2. Review the solution on the exercise solutions pages.
  3. 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. Support is available via text and email. We’re here to help both parents and students every step of the way.


 

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Flat Rate: $150 for One Year of Access

Start your Prealgebra journey today with easy-to-follow instruction, responsive support, and a proven method trusted by homeschool families and educators nationwide.


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$150.00 for 1 year