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Math Mammoth Introduction to Fractions

Math Mammoth Introduction to Fractions book cover
97 pages
(answers included)

Sample pages (PDF)
Contents and Introduction
Halves and Quarters
Comparing Fractions, part 4
Equivalent Fractions
Adding Fractions


Prices & ordering

PDF download USD $5.90

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You will be purchasing the downloads from my authorized reseller Comecero, LLC.


Printed copy $10.15

Buy at Lulu

Printed copy £6.30, full color
US shipping available

Buy at Pingles Publishing

small flag of SpainEste libro en español

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 appended.

The PDF version of this book can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. See more.


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  • Rainbow Resource carries printed copies for the Light Blue series books, plus several CDs (Light Blue and Blue series).
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  • Homeschool Planet sells the digital versions of the main curriculum and lesson plans to go with them.
  • K5 Learning offers download versions of the Blue series.
  • TPT sells the Light Blue Series downloads, plus topical units.
  • Lulu sells printed copies for most of the Math Mammoth materials (various series).

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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