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Math Mammoth Ratios & Proportions & Problem Solving

72 pages
(includes answers)

Sample pages (PDF)
Contents and Introduction
Solving Problems Using Equivalent Ratios
Scaling Figures 2
Problem Solving with Diagrams, part 1
Ratio Problems & Bar Models 2

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Prices & ordering

PDF download $4.00

Buy download at Kagi

(credit cards, Paypal, check, cash, PO, wire transfer, money order; Kagi shopper help)

Buy download at Currclick

(credit cards, Paypal)

Printed copy $11.80, b&w

Buy printed book at Lulu

(credit cards, Paypal, PO)

Printed book at Currclick

(credit cards, Paypal)

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Este libro en español

November 2011 - the PDF version of this book is now 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 Acrobat Reader version 9 or greater.

Math Mammoth Ratios & Proportions & Problem Solving is a worktext that concentrates, first of all, on two important concepts: ratios and proportions, and then on problem solving.

My aim is to provide students with a thorough understanding of ratios and proportions, not only because that is the norm for 6th grade, but also because they are used so much in everyday-life applications, and because they are a natural extension to go to after the student understands the basics of fractions.

First, we study thoroughly the concept of ratio, including how it connects with fractions. Next, we turn our focus on equivalent ratios because those will lead us into proportions just a few lessons later. The lesson Ratios in Rectangles has applications about the aspect ratio.

Solving proportions is divided into three separate lessons. In the first one, we solve proportions by thinking through equivalent ratios. In the second one, the usual method of cross-multiplying is introduced.

Then follows a lesson that explains just why cross-multiplying is allowed. Then there is more practice with solving proportions and word problems. We also study scaling geometric figures and floor plans, which are simple applications of proportions.

After this, the last lessons concentrate on various kinds of word problems that can be solved with the help of bar or block diagrams (the same kind as in Singapore Math). These involve problems with fractional parts, and then problems involving ratios. The diagrams become a powerful tool to solve such problems without the use of algebra.

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 - $95 (download) or $100 (CD)
Blue Series for grades 1-3 - $38 (download)
Blue Series for grades 4-6 - $57 (download)
Light Blue Series - $136 (download) or $141 (CD)
Light Blue Series for grades 1-3 - $68 (download)
Light Blue Series for grades 4-6 - $68 (download)
Golden/Green Series - $65 (download) or $70 (CD)
All Inclusive - $192 (download) or $197 (CD)
"Everything" Bundle - $240 (download only)

Learn more about these Math Mammoth bundles!

*BONUS*: Buy any bundle 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 any one of the Math Mammoth bundles 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 Light Blue 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 offers printed copies for the Blue, Golden, and Light Blue series books. You can also find links to Rainbow Resource on the individual product pages on this site.


• Rainbow Resource carries printed copies for the Light Blue series books, plus the Light Blue CD. You can also find links to Rainbow Resource on the individual product pages on this site.

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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.

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Math Mammoth books are PDF files. You will need Adobe Acrobat Reader to view them, including if you use a Mac or Linux. You can try other PDF viewers, but they seem to either omit or mess up some of the images.