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IM 6.6.3 Lesson: Staying in Balance

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

For diagram A, find: One thing that must be true

One thing that could be true or false

One thing that cannot possibly be true

For diagram B, find: One thing that must be true

One thing that could be true or false

One thing that cannot possibly be true

Match each hanger to an equation. Complete the equation by choosing x, y, z, or w to go in the empty box.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

​​Find a solution to the equation. Use the hangers to explain what each solution means.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

​​Find a solution to the equation. Use the hangers to explain what each solution means.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

​​Find a solution to the equation. Use the hangers to explain what each solution means.

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

​​Find a solution to the equation. Use the hangers to explain what each solution means.

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

Write an equation.

Explain how to reason with the diagram to find the weight of a piece with a letter.

Explain how to reason with the equation to find the weight of a piece with a letter.

Write an equation.

Explain how to reason with the diagram to find the weight of a piece with a letter.

Explain how to reason with the equation to find the weight of a piece with a letter.

Write an equation.

Explain how to reason with the diagram to find the weight of a piece with a letter.

Explain how to reason with the equation to find the weight of a piece with a letter.

Write an equation.

Explain how to reason with the diagram to find the weight of a piece with a letter.

Explain how to reason with the equation to find the weight of a piece with a letter.

When you have the time, visit the site https://solveme.edc.org/Mobiles.html to solve some trickier puzzles that use hanger diagrams like the ones in this lesson. You can even build new ones. (If you want to do this during class, check with your teacher first!)

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