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

   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


Donations

   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.

   Click here to keep this website free by donating today. Paypal is a trusted, secure website. It is fast and easy to donate.
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Lessons

   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)
 
 
 
   
  
  
 
   
 
Addition
 
Multiplication/Addition (Linear Combination)
 
Substitution
 
   
   
  
  
  
  
  
   
  
   
 
  
   
   
 
   
   
   
    
 
   
Word Problems - Beginner Level
  
  
  
  



   
  
  
  
   
  
 
   
  
  
 
   
    
    
    
 
   
  
  
 
   
Circle Properties
    
  
  
  
  
   
  
 
   
Two Dimensional Figures: Area
   
Rectangles
   
Parallelograms
   
Triangles
   
Trapezoids
   
Circles
   
 
   
  
 
 
 
  
    
 
   
   
  
 
 
  
    
 
   
   
   
 
  
 
   
  
  
  
  
    
    
    
   
   
  
   
   



   
   
   
  
  
   
 
  
   
    
  
 
 
 
   
 
 
 
   
 
Addition
 
Multiplication/Addition (Linear Combination)
 
Substitution
   
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
 



 
    
Statistics
   
    
  
  
    
   
   
 
   



 
   
   
   
   
   
   
 
   
  
  
  
  
 
  
  
 
 
 
  
 
 
 
   
  
   
   
 
   
  
  
  
   
   
  
  
 
   
   
 
 
 
 
   
  
  
 
   
 
    
Angle Formulas
  
    
    
    
 
    
Negative Angle Identities
    
    
 
   
   
   
    
 
   
 
   
   
  
  
    
   
   
  
  
  
  
   
  
 
   
  
    
    



 
   
    
   
  
  
  
  
   
 
  
 
    
Derivatives
    
  
    
    
    
    
    
    
    
    
    
    
    
    
 
    
Areas
    
    
    
    
 
    
Related Rates
    
    


Quizmasters

   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.
Quizmasters


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