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Division with Base-Ten Blocks

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How to apply area models to solve division problems

Ms. Pires

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Prior Knowledge: Multiplication

Previously we learned that we can create area models to solve multiplication problems.

This works because we know that the area of a rectangle is the product of its

length and width .

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Connection: Division

Understanding fact families and the area of rectangles, we may conclude that given an area and a length of a rectangle, we can calculate its width. This is division.

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Solving Division Problems

Review instructions and solve one division problem using manipulatives.

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How to solve division problems using manipulatives

  1. Go to Virtual Manipulatives.
  2. Choose the colorful manipulatives option.
  3. Type the problem.
  4. On the screen, drag all of the manipulative pieces needed to create the dividend.
  5. Organize the dividend in rows. Look at the divisor to see how many rows you need.

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Really important step!

Click on the virtual manipulative picture to see a screencast of how to do it!

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How to solve division problems using manipulatives

  • Don’t forget to label your array and solve the problem.
  • Take a screenshot of your work.

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3) Click on Insert → Image → Upload from Computer

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Johnny ordered a box with 142 bags of Flamin’ Hot Cheetos. He wants to give the bags equally to 5 friends. How many bags of Cheetos each friend will receive? Will there be any bags left

for Johnny?

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Add your written explanation here!

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Add your

labeled screenshot here!

More down here!

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Johnny ordered a box with 142 bags of Hot Cheetos. He wants

to give the bags equally to 5 friends. How many bags of Cheetos

each friend will receive? Will there be any bags left over for Johnny?

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  1. Record yourself on FlipGrid explaining how you solved this problem. Don’t forget to answer the questions!
  2. Listen to your classmates’ videos using headphones.
  3. “Like” at least 3 other videos.

Click here to record!

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Reverse Your Thinking

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Now, reverse your thinking. Look at the area model and decide what division problem it represents.

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Explaining Area Model

Equation:

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_____ ÷ _____ = _____ r_____

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How do you calculate the dividend?

More down here!

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Explaining Area Model

Equation:

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_____ ÷ _____ = _____ r_____

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How do you calculate the dividend?

More down here!

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Reflection:

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Time to think about your learning!

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Reflection Questions

  1. Why can’t we take more pieces of manipulatives when we can’t create a rectangle that works?

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  • Why can’t we fit all manipulative pieces in a perfect rectangle on slide 7? Explain what that means in math language.

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All done? Design your own problems!

  • Duplicate slide #7 as many times as you wish
  • Change the word problem to create your own problems with remainders
  • Have a classmate solve them!

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Ms. Pires - @msteacherlady

msteacherlady.com

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