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IM: 8.4.2: Keeping the Equation Balanced (Lesson)

Last updated about 1 year ago

7 questions

2.1: Notice and Wonder: Hanging Socks

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2.2: Hanging Blocks

2.3: More Hanging Blocks

Question 1

1.

What do you notice? What do you wonder?

This picture represents a hanger that is balanced because the weight on both sides is the same.

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Are you ready for more?

Try your own Hanger Balances!

https://curriculum.illustrativemathematics.org/MS/students/3/4/2/index.html

A triangle weighs 3 grams, and a circle weighs 6 grams.

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Are you ready for more?

Try your own!

https://curriculum.illustrativemathematics.org/MS/students/3/4/2/index.html

Question 2

2.

Elena takes two triangles off of the left side and three triangles off of the right side. Will the hanger still be in balance, or will it tip to one side? Which side? Explain how you know.

Question 3

3.

Use the applet to see if your answer to question 2 was correct.

https://curriculum.illustrativemathematics.org/MS/students/3/4/2/index.html

[Scroll to the tool under "2.2: Hanging Blocks", #2]

Can you find another way to make the hanger balance?

Question 4

4.

If a triangle weighs 1 gram, how much does a square weigh? After you make a prediction, use the applet to see if you were right.

https://curriculum.illustrativemathematics.org/MS/students/3/4/2/index.html

[Scroll to the tool under "2.2: Hanging Blocks", #3]

Can you find another pair of values that makes the hanger balance?

Question 5

5.

Find the weight of a square.

https://curriculum.illustrativemathematics.org/MS/students/3/4/2/index.html

[Scroll to the tool under "2.3: More Hanging Blocks", #1]

Question 6

6.

Find the weight of a pentagon.

https://curriculum.illustrativemathematics.org/MS/students/3/4/2/index.html

[Scroll to the tool under "2.3: More Hanging Blocks", #2]

Question 7

7.

Write an equation to represent each hanger.