Math Lessons and Interactive Quizzes
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Search | Updated November 23rd, 2023

   The math lessons below can be used to assist both teachers and students, including homeschool students. Teachers can gather ideas how to deliver various skills. Students can learn new mathematics lessons to avoid taking low level courses or review known skills to prepare for tests. There are three sections:

Clickable Images for the Table Below
      = Read the Lesson
      = Take the Quizmaster
      = Do the Activity
      = Watch the Video


   MATHguide has been offering a variety of mathematics lessons and quizmasters for free (see below) since 1999. This has amounted to well over a decade of dynamic, graphics-driven mathematics education for the global Internet community. The work found within these lessons and quizzes is the result of years of training and labor. Please consider donating whatever amount is manageable by clicking on the Paypal graphic. Your donations will help us broaden the lesson topics we offer and add corresponding quizmasters.

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   Click on either the...

    's for Lessons
    's for interactive Quizzes
    's for the Activities
    's for instructional Videos to learn mathematics.

Divisibility Check
Converting Decimals, Fractions, and Percents
Reducing Fractions
Multiplying Fractions
Dividing Fractions
Adding and Subtracting Fractions
Percent Word Problems
Adding Positive and Negative Integers
Subtracting Positive and Negative Integers
Multiplying Positive and Negative Integers
Dividing Positive and Negative Integers

Two-Step: ( ax + b = c )
Three-Step, Type 1: ( ax + b + cx = d )
Three-Step, Type 2: ( ax + b = cx + d )
Absolute Value Equations
Solving the Gas Law Relation
Solving Literal Equations
Factoring the Greatest Common Factor
Factoring a Difference of Two Squares
Factoring Trinomials (when a = 1 for ax2 + bx + c)
Factoring Trinomials (when a > 1 for ax2 + bx + c)
Multiplication/Addition (Linear Combination)
Word Problems - Beginner Level

Circle Properties
Two Dimensional Figures: Area

Multiplication/Addition (Linear Combination)
Reduced Row Echelon Form
Matrix Equations
Three Equations and Three Unknowns
Word Problems - Advanced Level
Basic Counting (Fundamental Counting Principle)
Complex Counting (Combinations & Permutations)
Placement Counting (Placement Problems)
Parametric Equations


Angle Formulas
Negative Angle Identities

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   Try our quizmasters. MATHguide has developed numerous interactive testing and checking programs to solidify math skills. All quizmasters are marked with the clickable image above.

   Quizmasters test students' abilities by:
  1. generating random problems,
  2. waiting for student input,
  3. checking student input, and
  4. instantly reporting whether or not the input is correct.

   Here is a screenshot of one quizmaster.

Worksheet Generator

   MATHguide offers a free worksheet generator service. Simply find the desired topic, select the number of problems, and click on the button to receive the sheet.

MATHguide Link: Worksheet Generator
MATHguide Link: Other Teacher Resources