This is a complete unit with direct instruction to the student, ample practice problems and word problems. Common Core aligned. Great for independent practice/homework.
The unit Division Concept & Division Facts covers the concept of division, basic division facts that are based on the multiplication tables, and the concept of remainder. The aim is to lay a good foundation for the concept of division, cementing the link between multiplication and division.
The concept of division in itself is not difficult—after all, it is like backwards multiplication. From that follows that the student needs to know the multiplication tables well as a prerequisite for this unit. The student can start studying the lessons in this unit even if he still needs some practice with the multiplication tables, but if he is a long ways
from mastering them, he should not study this unit yet.
There are basically two ways to illustrate division with concrete objects. The first way is equal sharing: we divide or share items equally between people. For example, the problem 12 ÷ 3 would mean, “If you share 12 bananas equally between 3 people, how many bananas does each one get?”
The second way has to do with grouping. The problem 12 ÷ 3 would be, “If you have 12 items, how many groups of three items can you make?” These two interpretations of division are important to understand so that the student can solve real-life and mathematical problems involving division.
We also study division by zero. From studying that lesson, students should recognize that division by zero “does not work.” I realize that in higher forms of mathematics, division by zero may be defined (such as 1 ÷ 0 = infinity), but for now, this is the understanding that a third grader should get.
Lastly, students study the concept of remainder, or division that is not exact. We start by letting the students find the remainder using visual models (you could also use manipulatives). Then they learn how to find the remainder by calculating.
I hope you find this book helpful in your math teaching !