# Lesson 2

Keeping the Equation Balanced

Let's figure out unknown weights on balanced hangers.

### 2.1: Notice and Wonder: Hanging Socks

What do you notice? What do you wonder?

### 2.2: Hanging Blocks

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

1. 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.

2. Use the applet to see if your answer to question  was correct. Can you find another way to make the hanger balance?

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

GeoGebra Applet RQ58fzCE

### 2.3: More Hanging Blocks

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

1. Find the weight of a square.

2. Find the weight of a pentagon.

3. Write an equation to represent each hanger.

GeoGebra Applet hDfcuwNb

### Summary

If we have equal weights on the ends of a hanger, then the hanger will be in balance. If there is more weight on one side than the other, the hanger will tilt to the heavier side.