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Learn Math Fast System

Publisher: MGM Publication
Author: J.K. Mergens
Review last updated: May 2013
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Learn Math Fast System

The Learn Math Fast System is a unique approach for teaching math that condenses the process while still stressing conceptual understanding. Presented in only six volumes, the content covers the essential math content for grades 1 through 9 plus some content of an second year algebra course. Books are printed in black-and-white with a limited number of illustrations, yet they are easy on the eyes with a large casual-style font. Book VI adds some color, especially for like terms so that students can easily identify them.

There are frequent work sheets and occasional timed tests. Each chapter concludes with a test, and there is a final test. Answers with solutions for worksheets and tests are at the back of the book. They were purposely included so that students could check their own answers and discover where they might have gone wrong. Since they include solutions, the answer keys have a substantial number of pages. You might need to remove those pages if your child might be tempted to take shortcuts by looking at answers and solutions too soon.

Worksheets and tests often have lesson material on the reverse side so you cannot remove those pages. The publisher is aware of this issue and has made printable worksheets and tests for each volume available for free on its website. (The publisher generously authorizes you to reuse books over and over if you wish. If you choose to photocopy worksheets or tests, that would be allowed.) If you have an older student who is serious about learning, they might work through the book independently, writing directly in the book and self-checking as they go, but this is rarely the situation.

Volume I begins by using pennies that you supply to teach math fact families, covering both addition and subtraction. By page 79, it has covered up through four-digit addends, minuends, and subtrahends along with the skills of carrying and borrowing. It continues through multiplication and division, also teaching these together since they are so closely related. It teaches up through long division with two-digit divisors. Decimals are taught in this section, and they are sometimes included in the divisor or dividend of a problem. Basic computation skills are covered in the first three of four chapters. Interestingly, students need to memorize only eleven math facts since the rest are covered by “tricks” taught through this system. The smaller fourth chapter has four lessons on standard measurements.

A student completing the first volume will have covered the most important math skills taught through third grade. There are no diversions to cover geometry, graphs, the calendar, telling time or other topics typically thrown into the mix for the primary grades. With only 199 pages of text, worksheets, and tests this is an efficient way to cover basic computation skills.

Because of its design, I think Volume I will probably be great for gifted learners who are ready to plow ahead with math and for older students who have not done well with other math programs and need an efficient way to get up to speed.

Volume II uses money to explain fractions, quickly moving through decimals which were already introduced in the first volume, and continuing through percentages. It concludes with a final chapter on positive and negative numbers. With 116 pages of text, worksheets, and tests, students can complete this book rather quickly if they grasp the concepts, yet it covers key concepts taught in both grades 4 and 5.

Volume III teaches pre-algebra concluding with a final chapter that offers in-depth instruction on slopes and intercepts. Again, this is accomplished in only 119 pages of text, worksheets, and tests. Content of this book is similar to some of what you find in other texts for grades six, seven, and eight, and it goes farther than most in its instruction on slopes and intercept.

Volume IV teaches basic geometry, reversing the typical coverage of pre-algebra to before rather than after introductory geometry. This enables the text to apply algebraic skills in geometry, although they are not required very often in the relatively brief 105 pages of text in this volume. A small kit of manipulatives comes with this text to help provide a more concrete learning experience. The final chapter of this book addresses the metric system. The content of this book reflects geometry instruction that shows up in grades 3 through 7 in other texts.

Volumes V and VI together cover first year high school algebra and some concepts from Algebra 2, but at a less challenging level than most other resources. Students using the first four volumes in this series are likely to be tackling algebra at least by eighth grade if not sooner, so a less challenging approach makes sense. Volume V covers foundational concepts that are sometimes now taught in pre-algebra courses: integers, rational and irrational numbers, variables, coefficients, facors, absolute vlaue, mulitplication and division of exponents, square and cube roots, and the commutative and associative laws of addition. Some of this was introduced in Volume III, but Volume V reviews and takes these concepts to a higher level. Students also work with the distributive law of multiplication, factoring, prime factors, working with polynomials and solving quadratic equations. There's even an introduction to functions. This book has 243 pages.

Volume VI teaches much of algebra through applications. Time/distance/rate problems and solution and mixture problems are used extensively as platforms for learning algebraic applications. in 232 pages, this volume also covers congruent and similar triangles, probability, functions, solving and graphing equations with two variables, and solving and graphing quadratic equations. Some of this would be equivalent to what is taught in second year algebra, but it does not cover the same material at the same level as in second year algebra courses such as those from Saxon, BJU Press, and Math-U-See. I would transition from this book into either an Algebra 2 or Geometry course.

Concepts in this series are not taught in the same order as in most other math courses which makes it tricky to move in or out of the series. However, I appreciate the author's logical reorganization of topics in a way that builds understanding.

The thorough and clear explanations might also make this an appealing option for parents with a poor math background who need to learn right along with their children as well as for students working independently. In addition, the fact that the books are self-contained and reusable coupled with the publisher's provision of free printable worksheets and tests makes them a real bargain.

There are free placement tests on the publisher's website, and free phone or email support is available to those who have purchased the series.


Set of all six books - $239
Individual books: Volumes I - V - $39 each, Volume Vi - $49

Instant Key

  • Suitable for: all learning situations, but especially good for independent study at upper levels
  • Audience: content covers grades 1-9 and some second year algebra, but books might also be used by older students needing remedial work
    Need for parent/teacher instruction: minimal to moderate (older students should be able to work independently
    Prep time needed: minimal to none
    Teacher's manual: N/A, answer keys included
    Religious perspective: secular

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