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IM: 6.4.1: Size of Divisor and Size of Quotient (Lesson)

By Formative Staff
Last updated 7 months ago
10 questions
1.1: Number Talk: Size of Dividend and Divisor
Find the value of each expression mentally.

5,000 \div 5 _______
5,000 \div 2,500 _______
5,000 \div 10,000 _______
5,000 \div 500,000 _______
1.2: All Stacked Up
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

Notebooks

Bricks

Coins

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.

Another stack of books is 43 inches tall. Each book is 1/2- inch thick. Write an expression that represents the number of books in the stack.

1.3: All in Order
Your teacher will give you two sets of papers with division expressions.
Without computing, estimate the quotients in each set and order them from greatest to least. Be prepared to explain your reasoning.
Pause here for a class discussion.

Record the expressions in each set in order from the greatest value to the least.

a. Set 1
b. Set 2

Without computing, estimate the quotients and sort them into the following three groups. Be prepared to explain your reasoning.

  • 30 \div 1/2
  • 9 \div 10
  • 18 \div 19
  • 15,000 \div 1,500,000
  • 30 \div 0.45
  • 9 \div 10,000
  • 18 \div 0.18
  • 15,000 \div 14,500
  • Close to 0
  • Close to 1
  • Much larger than 1
Are you ready for more?

Write 10 expressions of the form 12 \div ? in a list ordered from least to greatest. Can you list expressions that have value near 1 without equaling 1? How close can you get to the value 1?