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IM 8.4.2 Lesson: Keeping the Equation Balanced

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.

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? 

Use the applet to see if your answer to the questions above were correct.

 Explain how you know.

Can you find another way to make the hanger balance?

After you make a prediction, use the applet to see if you were right.

If a triangle weighs 1 gram, how much does a square weigh?

Try your own Hanger Balances!

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

A triangle weighs 3 grams, and a circle weighs 6 grams. Use this applet to help find the weight of a square.

The weight of a square:

Write an equation to represent this hanger.

Find the weight of a pentagon.

The weight of a pentagon:

Write an equation to represent this hanger.

Try your own!