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Math Mammoth The Four Operations (with a Touch of Algebra)

106 pages
(of which 77 are lesson pages)
Price: $6.00 download

Buy printed softcopy
at Lulu - $11.50, b&w

Sample pages (PDF)
Contents and Introduction
Multiplication and Division
Equations
Order of Operations & Equations
A Three-Digit Multiplier Plus Zeroes
Introduction to Functions

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Math Mammoth The Four Operations (with a Touch of Algebra) is a mathematics worktext meant primarily for fifth and sixth grades. Some of the lessons can also be used in seventh grade. A worktext means that the book is a textbook and workbook together: the lessons include both the explanations of the concepts, as well as practice exercises.

The lessons in this worktext have been taken from the Math Mammoth complete curriculum for fifth and sixth grades. For this reason, they may not always flow smoothly from one lesson to the next with a perfect continuity, though I have tried to present them here in the most logical order.

The main topics studied in this book are simple equations, expressions that involve a variable, the order of operations, long multiplication, long division, and graphing simple linear functions. 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.

Students solve addition and subtraction equations both with the help of diagrams (a.k.a. bar models) and also without. These diagrams (the same kind as in Singapore Math) are also used for simple multiplication and division equations and for mixture equations, such as 4x + 38 = 128.

We also present 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, as a review from fourth grade.

Although the book is named, “The Four Operations,” please notice that the idea is not to practice each of the four operations separately, but rather to see how they are used together in solving problems and in simple equations. We are trying to develop student's 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 in this chapter are preparing them for algebra in advance.

This book is suitable for 5th and 6th grades. It includes both the teaching material (lessons) as well as the exercises in the same book. The answer key is appended.

Better Yet - Package Deals!
Blue Series package - $90 (download) or $95 (CD)
Blue Series for grades 1-3 - $38 (download)
Blue Series for grades 4-6 - $52 (download)
Golden/Green Series package - $65 (download) or $70 (CD)
Light Blue Series package - $118 (download) or $123 (CD)
All Inclusive package - $177 (download) or $182 (CD)
"Everything" Bundle - $225 (download only)

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*BONUS*: Buy any package listed above, and get the fully upgraded Soft-Pak software with more features and options for FREE (includes 4 math, 1 language arts, 2 testing programs).

*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
* Math Master, for on screen practice of various math topics
* Math User, for answering the 900 multi-level word problems
* True/False Math Challenger for mastering facts 1-12


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 at:

• Kagi store - all of the downloads and CDs. I maintain five different order pages at Kagi:
  • One for the Blue series,
  • another for the Golden and Green Series, and
  • third for the Light Blue complete curriculum products, and
  • one more for the Packages (CDs or downloads).
  • And yet an order page for Make It Real Learning workbooks.

  Kagi accepts all major credit cards, Paypal (USD), checks, cash, money orders, purchase orders, wire transfers, TrialPay, and even cash. Read more about the payment methods here. Please see Kagi Shopper Help for any other questions about the ordering process.

  After completing the order at Kagi, you will see the download links on the receipt page. You will also 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.

  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.

  
   
• CurrClick.com carries all Blue, Golden, and Lightblue series books as downloads. They accept credit cards and Paypal. You will be able to download the products immediately upon the purchase, and also return to your account at CurrClick to redownload.
• Lulu has printed copies for the Blue, Golden, and Light Blue series books. For each book at MathMammoth.com, you can find a link to the printed copy sold at Lulu on each individual book's page (right sidebar).

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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.