Hanger Diagrams: Balance Equations
This worksheet introduces third-grade students to hanger diagrams as a visual tool for understanding and solving simple algebraic equations.
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Hanger Diagrams: Balance Equations
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A hanger diagram shows a balanced equation. Both sides of the hanger must have the same weight. Each shape has a hidden weight. Your job is to figure out the weight of each shape to keep the hanger balanced!
1. Look at the hanger diagram below. If each circle weighs 2 units, what is the total weight on the right side of the hanger?
2. In the hanger diagram below, the square weighs 10 units. What is the weight of one triangle if the hanger is balanced?
The weight of one triangle is units.
3. Draw a hanger diagram where one side has a box weighing 8 units and the other side has two identical circles that balance it. What is the weight of each circle?
Weight of each circle: units.
4. If a hanger has 3 stars on one side and a total weight of 12 units on the other side, how much does each star weigh?
3 units
4 units
6 units
12 units
5. If a hanger has a square (weight 7) and a circle (weight 3) on one side, and a triangle on the other side, the triangle must weigh 10 units for the hanger to be balanced.
True
False