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Learning Targets
- I can explain how a balanced hanger and an equation represent the same situation.
- I can explain why some balanced hangers can be described by two different equations, one with parentheses and one without.
- I can find an unknown weight on a hanger diagram and solve an equation that represents the diagram.
- I can write an equation that describes the weights on a balanced hanger.
Notes
Notes
Activities
Activities
8.2 Either Or
8.2 Either Or
- Explain why either of these equations could represent this hanger on the right:
14 = 2 ( x + 3 ) or 14 = 2x + 6.
2. Find the weight of one circle. Be prepared to explain your reasoning.
8.3 Use Hangers to Understand Equation Solving, Again
8.3 Use Hangers to Understand Equation Solving, Again
Here are some balanced hangers. Each piece is labeled with its weight.
Equations:
For each diagram:
- Assign one of the equations to each hanger.
- Explain how to figure out the weight of a piece labeled with a letter by reasoning about the diagram.
- Explain how to figure out the weight of a piece labeled with a letter by reasoning about the equation.
Summary
Summary
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