Sample pages (PDF)
Contents
Review: Multiplication and Division
Multiplication Algorithm
Long Division
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Printed copy $7.95
Math Mammoth Multiplication & Division 3 focuses on multi-digit multiplication and long division on the 5th and 6th grade levels. This means it is not meant for initial teaching of those algorithms, but for practicing them with more digits than in 4th grade where students initially learned them. The book also contains lessons that aim to develop the student's algebraic thinking and get the student used to simple equations. It is most suitable for fifth and sixth grades.
The book starts out with a little bit of mental math and a lesson on the order of operations. The lesson titled Review: Multiplication and Division emphasizes the connection between multiplication and division, and how we can use that connection to solve simple equations.
Then, students study partial products, in the lesson Multiplying in Parts. This process is very handy for mental math, but also ties in with an area model and the distributive property. It is also the basis for the standard multiplication algorithm, though you cannot necessarily see that directly when using the standard algorithm.
Next, students review the standard multiplication algorithm (multi-digit multiplication) and practice using it with 5 and 6-digit numbers. They also review 2 by 2-digit multiplication and extend that skill to 4 by 2-digit and 3 by 3-digit multiplication problems. All along the lessons also include estimation problems and word problems.
Then it is time for long division, especially practicing long division with two-digit divisors. We also study why long division works, in the lesson Long Division and Repeated Subtraction. Throughout the division lessons there are also word problems to solve.
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