Unit 4, Lesson 1
Size of Divisor and Size of Quotient
Grade 6
1.2
Activity
All Stacked Up
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Here are several types of objects. For each type of object, estimate how many are in a stack that is 5 feet high. Be prepared to explain your reasoning.
Cardboard boxes
Egg cartons
Notebooks
Coins
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A stack of books is 72 inches tall. Each book is 2 inches thick. Which expression tells us how many books are in the stack? Be prepared to explain your reasoning.
Student Lesson Summary
Here is a division equation:
We don’t always have to make calculations to have a sense of what a quotient will be. We can reason about it by looking at the size of the dividend and the divisor. Let’s look at some examples.
The divisor, 9, is very close to 10. We know that
The dividend, 99, is very close to 101. Because
The divisor, 98, is very close to 100. We know that
In general:
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When a larger number is divided by a smaller number, such as
or , the quotient is greater than 1. -
When we divide two numbers that are nearly equal to each other, such as
or , the quotient is close to 1. -
When a smaller number is divided by a larger number, such as
or , the quotient is less than 1.
None
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