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Math Mammoth Multiplication Division 3
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Math Mammoth Multiplication Division 3

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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.

The PDF version of this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Adobe Reader version 9 or greater.

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, prime numbers, 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.

 
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Reviews
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June 16th, 2013
We love Math Mammoth. Each subject is completely taught. At first some of the lessons seemed simple and not necessary however each lesson builds on the previous one to end in a thorough understanding of content. I have gifted children, ESL children and [...]
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May 10th, 2010
After much frustration last year with division, I finally came to the realization that my daughter had not mastered her multiplication tables. So this year, we focused on multiplication and then division. We used Math Mammoth Multiplication 1, 2, Divis [...]
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Product Information
Electrum seller
Appropriate Age(s)
Author(s)
Appropriate Age(s)
Pages
129
File Size:
4.95 MB
Format
Original electronic
Scanned image
These products were created by scanning an original printed edition. Most older books are in scanned image format because original digital layout files never existed or were no longer available from the publisher.

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For printed books, we have performed high-resolution scans of an original hardcopy of the book. We essentially digitally re-master the book. Unfortunately, the resulting quality of these books is not as high. It's the problem of making a copy of a copy. The text is fine for reading, but illustration work starts to run dark, pixellating and/or losing shades of grey. Moiré patterns may develop in photos. We mark clearly which print titles come from scanned image books so that you can make an informed purchase decision about the quality of what you will receive.
Original electronic format
These ebooks were created from the original electronic layout files, and therefore are fully text searchable. Also, their file size tends to be smaller than scanned image books. Most newer books are in the original electronic format. Both download and print editions of such books should be high quality.
File Last Updated:
May 11, 2017
This title was added to our catalog on January 18, 2007.