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Math Mammoth Division 2 is a continuation from the Math Mammoth Division 1. It focuses on the topics of long division, remainder, problem solving, average, divisibility, and factors. The book is most suitable for fourth grade.
We start out by reviewing basic division facts by single-digit numbers (such as 24 ÷ 4 or 56 ÷ 7). After that, we study terminology of division and dividing numbers by whole tens and hundreds (such as 400 ÷ 20). Next students practice the order of operations-this time with division as one of the operations.
Then we study the concept of remainder, preparing students for the upcoming lessons on long division. At first, the concept of remainder is presented visually. Soon, students solve simple division problems with a remainder, written with the long division symbol (or long division "corner", as I like to call it).
Next comes a set of lessons intended to teach long division in several small steps. We start with divisions where each of the digits in the dividend (thousands, hundreds, tens, and ones) can be divided evenly by the divisor (for example, 3096 ÷ 3). As the next step, there is a remainder in the ones. Then, the divisions have a remainder in the tens. Finally, there is a remainder in the hundreds and in the thousands, and this completes the step-by-step learning process for long division. The lessons also include lots of word problems to solve.
After long division, we study the concept of average, which is a nice application of division, and problems that involve finding a fractional part of a quantity using division. For example, we can find 3/4 of a number by first finding 1/4 (dividing by 4) and then multiplying the result by 3. Students get help from visual bar models to solve the problems.
The last section deals with elementary number theory. We study basic divisibility rules (though not all of them), prime numbers, and finding all factors of a given two-digit number.
About the author
Maria Miller was born and grew up in Finland where she also received a master's degree in mathematics in 1997. She loves math and teaching, so becoming a math teacher was a natural career for her.Miller started writing math books in 2002, prompted by her experiences in tutoring homeschooled children. She felt the books they were using were inferior, especially when it came to conceptual understanding of mathematics, so she began to write books that focus on the concepts and the "why" of mathematics, though not forgetting the "how" and the needful practice.Over the years, her materials have become popular and appreciated, both among parents and teachers.In her free time, she likes walking, bicycling, swimming, reading, helping out with Inspire4.com, playing piano, and listening to music.
