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Math Mammoth Division 1: Divide, and Conquer the Concepts.

70 pages
(of which 45 are lesson pages)
Price: $3.50 download

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(PDF download)

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Sample pages (PDF)
Contents and Introduction
Dividing Evenly into Groups
Division and Multiplication Facts
Zero And One in Division
When Division is Not Exact and Remainder
Divisibility

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Math Mammoth Division 1 is a worktext about basic single-digit division, remainder, and divisibility. It is most suitable for third grade, after the student knows the multiplication tables.

The division concept in itself is not very difficult - after all, it is like backwards multiplication. However, children can have difficulties in related concepts, such as the remainder, divisibility, and later in factoring and long division (the latter two are not dealt with in this book).

The aim of Math Mammoth Division 1 is to lay a good foundation in basic division, cementing the link between multiplication and division, and then to solidly study the concepts of the remainder and divisibility. Understanding these is required when studying (later) factoring and long division.

There are basically two ways of illustrating division with concrete objects. The first method has to do with dividing objects between a certain number of persons. For example, the problem 12 ÷ 3 would be, “If you have 12 bananas and 3 people, how many bananas does each one get?â€�

The second method has to do with grouping. The problem 12 ÷ 3 would be: “If you have 12 people, how many groups of 3 people can you make?â€� These two interpretations of division are important to understand so that your child can solve problems of everyday life.

The book at hand provides plenty of practice and stresses understanding of concepts. I don't wish the student to memorize procedures without understanding the “why� (rote memorization).

For example, when studying the remainder, the student first finds the remainder with the help of pictures - which is equivalent to using manipulatives. Then he explores the pattern found in dividing sequential numbers by the same number, such as 25 ÷ 3, 26 ÷ 3, 27 ÷ 3, 28 ÷ 3, etc. After that, it is explained that you can find the remainder by looking at a certain difference, and finally the typical school-book method is presented.

The prerequisite for this book is knowing the times tables fairly well. The child can start studying division even if he still needs some practice with the multiplication tables, but he should finish mastering the tables before advancing very much with the lessons of this book.

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You can buy Math Mammoth books at:

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  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.

  
   
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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.