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You are here: Home → Blue Series → Multiplication Division 3
Math Mammoth Multiplication Division 3
Elementary Math Workbook
Math Mammoth Multiplication Division 3 covers multiplication and division related topics, such as the
multiplication algorithm, long division, estimation, divisibility, factoring, and ratios. This book also
contains many lessons that aim to develop students' algebraic thinking, and get them used to simple
equations. The book is aimed for 5th grade but can probably easily be used in 6th grade as well.
One important line of thought throughout this book is that of equations. Students encounter the exact
definition of an equation and an expression. They practice the order of operations with problems that also
reinforce the idea of the equal sign ("=") as denoting equality of the right and left sides of an equation.
These kind of exercises are needed because children may think that an equal sign signifies the act of
finding the answer to a problem (as in 134 + 23 = ?, for example), which is not so.
Simple diagrams are used to illustrate simple multiplication and division equations and mixture equations,
such as 4x + 38 = 128. The idea is see how the four operations are used together in solving problems and
in simple equations. We are trying to develop students' algebraic thinking, including the abilities to:
translate problems into mathematical operations, comprehend the many operations needed to yield an
answer to a problem, "undo" operations, and so on. Many of the ideas here are preparing them for algebra
in advance.
In the middle of the book are lessons on multi-digit multiplication (multiplying in columns). These
lessons go farther than just reviewing the well-known algorithm. We study in detail: multiplying in parts
(partial products), how those partial products can be seen in the algorithm itself, and how multi-digit
multiplication can be visualized geometrically.
Students also practice long division, including two-digit divisors. Then we study divisibility and factoring,
including the sieve of Eratosthenes.
The "Introduction to Ratios" is an important lesson, showing the connection between fractional parts,
ratios, and bar models.
You can make additional worksheets for long multiplication and long division on this web page. Scroll down to the multiplication and division sections.
This book has undergone a significant revision in October 2008.
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*BONUS* - SOFT-PAK MATH SOFTWARE
I bet you'd have to agree: this is a steal! You can get Soft-Pak math programs (list price $24.95) for just a small $3.50 s&h fee - just by ordering ANY of my books at Kagi or CurrClick!
* Math Maker, for printable math activities with answer keys
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NOTE: if you purchase one of the package deals at Kagi store, you will get Soft-Pak in the download or included on the CD for FREE.
Soft-Pak may also be purchased at great 75% discount without a Math Mammoth purchase - click here for details.
How and where to order
You can buy Math Mammoth books as downloads at
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After completing the order at Kagi, you will receive an email with download links for each book you bought, or for a zip file for the packages. You click on the links and download the books to your computer's hard drive. That's it!
In case of any problems with the download, you can always email me, and I can email the books to you directly. My contact info will be in the email you receive.
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*Order processing at Kagi takes 1-2 hours; I do not know how quick it is at the other stores.
Printed copies
You can buy printed copies of the Blue, Golden, and Light Blue series books at Lulu.com. You can find a links to the printed copy also on each individual book's page (right sidebar).
Winterpromise sells printed copies for the Light Blue series books along with CDs.
By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.
In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.
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