Sample pages (PDF)
Contents
Multiplication and Division
Long Division
More Equations
Factoring & Primes 2
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Printed copy $11.25
Math Mammoth Multiplication & Division 3 covers multiplication and division related topics, such as the multiplication algorithm, long division, estimation, divisibility, factoring, the least common multiple, and the greatest common factor. This book also contains many lessons that aim to develop students' algebraic thinking, and get the student used to simple equations. It is most suitable for 5th and 6th grades.
One important line of thought throughout this book is that of a mathematical expression. In mathematics, an expression consists of numbers, letters, and operation symbols, but does not contain an equal sign (an equation does). Students write simple expressions for problems which they solve. They study the correct order of operations in an expression. An equation in mathematics consists of an expression that equals another expression (expression = expression). We also study simple equations, both with and without the help of visual bar models.
Next, we review multi-digit multiplication, starting with partial products (multiplying in parts) and how that can be visualized geometrically. 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 lessons there are also word problems to solve.
Then we study we study the topics of divisibility, primes, and factoring. Students learn the common divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10. In prime factorization, we use factor trees. The last topics are the greatest common factor and the least common multiple (which are typically 6th grade level topics).
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