The 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 lessons to avoid taking low level courses or review known skills to prepare for tests. There are three sections: lessons (algebra, geometry, and advanced algebra), quizmasters, and worksheet generators.

Clickable Images for the Table Below       = Read the Lesson       = Take the Quizmaster

   MATHguide has been offering a variety of lessons and quizmasters for free (see below) since 1999. This has amounted to 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.

   Click on either the 's for lessons or the 's for interactive quizzes to continue.

Algebra Lessons & Quizmasters   Operations on Integers   Addition   Subtraction   Multiplication   Division     Solving Equations   Two-Step ( ax + b = c )   Three-Step, Type 1 ( ax + b + cx = d )   Three-Step, Type 2 ( ax + b = cx + d )     The Pythagorean Theorem   Finding the Hypotenuse   Finding a Leg     Operations on Polynomials   Addition   Subtraction   Multiplication     Factoring Quadratic Trinomials ax2 + bx + c   Type 1: a = 1 [basic]   Type 2: a > 1 [advanced]   Using the Quadratic Formula   Algebra 'Magic': Simple Algebra 'Magic': Intermediate #1 Algebra 'Magic': Intermediate #2     Systems of Linear Equations   Addition   Multiplication/Addition (Linear Combination)   Substitution   Determinants     Rational Expressions   Simplification   Addition   Subtraction       Word Problems - Beginner Level   Chemistry I     Distance I     Mixture I   Work   Geometry Lessons & Quizmasters   The Pythagorean Theorem   Finding the Hypotenuse   Finding a Leg     Two Dimensional Figures: Area   Rectangles   Parallelograms   Triangles   Trapezoids   Circles     Area Tour of All Figures     Three Dimensional Figures: Surface Area   Rectangular Prisms   Cylinders   Square Pyramids   Cones   Spheres     Surface Area Tour of All Figures     Three Dimensional Figures: Volume   Rectangular Prisms   Cylinders   Square Pyramids   Cones   Spheres     Volume Tour of All Figures     Trigonometry Basics   Labeling Triangles   The Three Main Trigonometric Functions   The Other Three Trigonometric Functions     Right Triangle Trigonometry   Sine Problem   Cosine Problem   Tangent Problem   Algebra II & Pre-Calculus Lessons & Quizmasters     Conic Sections   Circles   Ellipses   Hyperbolas       Evaluating Determinants     2 x 2     3 x 3       Sequences & Series   Arithmetic   Geometric     Systems of Linear Equations   Addition   Multiplication/Addition (Linear Combination)   Substitution   Determinants     Rational Expressions   Advanced Problems   Algebra 'Magic': Advanced       Word Problems - Advanced Level   Chemistry II     Distance II     Mixture II   Work       Trigonometry   Law of Sines   Law of Cosines

   Try our quizmasters. MATHguide has developed numerous interactive testing and checking programs to solidify 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.

   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