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Math Mammoth Introduction to Fractions
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Math Mammoth Introduction to Fractions

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Math Mammoth Introduction to Fractions contains lessons for fraction arithmetic for grades 1-4. This material does not include division or multiplication of fractions, nor adding unlike fractions, which are topics for 5th and 6th grades. Also, most of the material here is for 3rd and 4th grades, and only a few lessons are meant for grades 1-2.

The topics covered are on a simple level, constantly illustrated with visual models, and with small denominators. The presentation avoids spelling out specific rules for manipulating fractions, but instead relies on the usage of pictures on a very concrete level. Children easily confuse the various rules for fraction arithmetic, because there are so many. There is a place for the rules, as shortcuts for ideas that are already understood, but we do not start with them. The goal is to let the big ideas sink in conceptually first, followed by some shortcuts.

The topics covered are

  • one half and one fourth
  • concept of a fraction
  • concept of a mixed number
  • comparing fractions
  • equivalent fractions
  • adding and subtracting like fractions
  • adding and subtracting mixed numbers with like fractional parts
  • adding one fraction that has tenths and another that has hundredths (such as 3/10 + 7/100)
  • multiplying a fraction by a whole number

The lessons are organized by topic, not by increasing difficulty. For reference, 1st grade students study only the concept of one half and one fourth. In 2nd grade, they study the concept of a fraction and optionally the easiest (first) lesson on comparing fractions. In 3rd grade, students study the concept of a fraction, fractions on a number line, comparing fractions, and equivalent fractions. Then in 4th, they study mixed numbers, comparing fractions, equivalent fractions, adding and subtracting fractions and mixed numbers, and multiplying fractions by whole numbers.

The answers are at the back of the book.

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.

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Reviews (4)
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February 6th, 2015
We're definitely loving the Math Mammoth products and the introduction to fractions is one of our favorites. My youngest, who has troubles with math, loves them and it's been a big improvement in our house. [...]
January 30th, 2015
I purchased this for remedial math instruction for my middle school daughter. We homeschool, so I needed something easy to use for both of us. We've done about 30 pages and so far I'm impressed. I like how the author, Maria, breaks down fractions into [...]
Ruthie S. [Featured Reviewer]
July 15th, 2013
I purchased this download because I am switching my dd9's math curriculum and switching will leave "gaps" in her math in the areas of fractions and geometry (I will write a review for Early Geometry soon). I just needed something to cover th [...]
Heart o. t. M. T. [Featured Reviewer]
September 28th, 2009
Maria Miller of Mammoth Math has created so many wonderful workbooks to help your child through the many learning steps known as math. Her books take you step by step through the learning process. Your child will have the opportunity to stick with a ma [...]
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File Size:
6.3 MB
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File Last Updated:
March 03, 2018
This title was added to our catalog on March 10, 2008.