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Math Mammoth Place Value 5 is a short worktext that covers value up to the trillions—that is, numbers up to 15 digits—rounding them, and using a calculator. It is suitable for 5th and 6th grades. The lessons are taken from the complete curriculum I have written for the 5th and 6th grades (Math Mammoth Light Blue Series).
The PDF version of this book is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Adobe Reader version 9 or greater.
The first lesson covers place value up to billions. Then, we study exponents, and right after that, place value up to trillions, writing the numbers in the expanded form using exponents. After working with addition a little, there are two lessons about calculator usage.
I have received numerous comments on the harm that indiscriminate calculator usage can cause. In a nutshell, if children are allowed to use calculators freely, their minds get “lazy,” and they will start relying on calculators even for simple things. It's just human nature!
As a result, students enter college without even knowing their multiplication tables by heart. Then they have tremendous trouble if they are required to use mental math to solve simple problems. So we educators need to limit calculator usage until the students are older. Children can not decide this for themselves, and definitely not in fifth grade.
However, I realize that the calculator is extremely useful, and students do need to learn to use it. In this curriculum, I strive to show the students not only how to use a calculator, but also when to use it and when not to use it.
This book includes problems where calculator usage is appropriate. We also practice estimating the result before calculating it with a calculator. In the last lesson, students need to choose whether mental math or a calculator is the best “tool” for the calculation.
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