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Hanger Diagrams Challenge

Explore hanger diagrams to understand balanced equations and solve for unknown values.

Grade 4 Math AlgebraHanger Diagrams
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Includes

2 Short Answer2 CustomFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.4.OA.A.3

Topics

mathalgebrahanger diagramsequationsgrade 4
8 sections · Free to use · Printable
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Hanger Diagrams Challenge

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Read each question carefully and use the hanger diagrams to help you solve for the unknown values. Remember that a balanced hanger means both sides have equal weight.

1. If a hanger is balanced, what does that tell you about the total weight on each side?

2. In the hanger diagram below, each square (∎) weighs 1 unit. What is the weight of one circle (●) if the hanger is balanced?

X

The weight of one circle (●) is   units.

3. If each triangle (△) weighs 2 units, what is the weight of one star (☆) in this balanced hanger?

X

The weight of one star (☆) is   units.

4. Look at the balanced hanger. If each small circle (○) weighs 3 units, then 2 small circles weigh   units. If one large square (□) balances 2 small circles, then one large square (□) weighs   units.

5. Draw a hanger diagram where one side has a square and the other side has three circles, and the hanger is balanced. Assume each circle weighs 1 unit and the square weighs 3 units.

6. In a balanced hanger diagram, if you add the same weight to both sides, the hanger will remain balanced.

T

True

F

False