PSABM6NF - Student Facing Task---Acc7.3 Lesson 7 Reasoning about Solving Equations (Part 1) (7.EE.B.4.a)
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Part A)

 

In the two diagrams, all the triangles weigh the same and all the squares weigh the same.

 

For each diagram, what is one thing that must be true.

 

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Part B)

For each diagram, what is one thing that could be true.

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Part C)

For each diagram, what is one thing that cannot possibly be true.

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Part A)

On each balanced hanger, figures with the same letter have the same weight.

 

 

Which hanger matches with the following equation: 

 

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Select one:
Part B)

What letter belongs in the empty box of this equation: ?

Select one:
Part C)

Which hanger matches with the following equation: 

Select one:
Part D)

What letter belongs in the empty box of this equation: ?

Select one:
Part E)

Which hanger matches with the following equation: 

Select one:
Part F)

What letter belongs in the empty box of this equation: ?

Select one:
Part G)

Which hanger matches with the following equation: 

Select one:
Part H)

What letter belongs in the empty box of this equation ?

Select one:
Part I)

Solve for w in this equation .

w = ______

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part J)

Use the hanger to explain what the solution means.

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Part K)

Solve for z in this equation .

z = ______

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part L)

Use the hanger to explain what the solution means.

Type your answer below:
Part M)

Solve for x in this equation .

x = ______

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part N)

Use the hanger to explain what the solution means.

Type your answer below:
Part O)

Solve for y in this equation .

y = ______

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part P)

Use the hanger to explain what the solution means.

Type your answer below:
Part A)

Here are some balanced hangers where each piece is labeled with its weight. 

 

Write an equation for Hanger A.    

 

7 = ____________

 

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Type your answer below (mathematical expression):
Part B)

Write an equation for Hanger B.      

 

____________ = 31

Type your answer below (mathematical expression):
Part C)

Write an equation for Hanger C.     

 

6.8 = ____________

Type your answer below (mathematical expression):
Part D)

Write an equation for Hanger D.      

 

____________ = 17/2

Type your answer below (mathematical expression):
Part E)

Explain how to figure out the weight of a piece labeled with a letter by reasoning about the diagram.

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Part F)

Explain how to figure out the weight of a piece labeled with a letter by reasoning about the equation.

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