IM 6.6.3 Lesson: Staying in Balance

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[/img][br][br][size=150]For diagram A, find:[/size][br][br]One thing that [i]must[/i] be true[br]
One thing that [i]could[/i] be true or false
One thing that [i]cannot possibly[/i] be true
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[/img][br][br][size=150]For diagram B, find:[/size][br][br]One thing that [i]must[/i] be true
One thing that [i]could[/i] be true or false
One thing that [i]cannot possibly[/i] be true
Match each hanger to an equation. Complete the equation by choosing x, y, z, or w to go in the empty box.
[img]data:image/png;base64,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[/img][br][math]\boxed{\phantom{3}} + 3 = 6[br][/math]
​​Find a solution to the equation. Use the hangers to explain what each solution means.
[img]data:image/png;base64,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[/img][br][br][math]3 \cdot \boxed{\phantom{3}} = 6[/math]
​​Find a solution to the equation. Use the hangers to explain what each solution means.
[img]data:image/png;base64,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[/img][br][math]6 =\boxed{\phantom{3}} + 1[br][/math]
​​Find a solution to the equation. Use the hangers to explain what each solution means.
[img]data:image/png;base64,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[/img][br][math]6 = 3 \cdot \boxed{\phantom{3}}[/math]
​​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.
[img]data:image/png;base64,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[/img][br]Write an equation.
Explain how to reason with the [i]diagram[/i] to find the weight of a piece with a letter.
Explain how to reason with the [i]equation[/i] to find the weight of a piece with a letter.
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[/img][br]Write an equation.
Explain how to reason with the [i]diagram[/i] to find the weight of a piece with a letter.
Explain how to reason with the [i]equation[/i] to find the weight of a piece with a letter.
[img]data:image/png;base64,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[/img][br]Write an equation.
Explain how to reason with the [i]diagram[/i] to find the weight of a piece with a letter.
Explain how to reason with the [i]equation[/i] to find the weight of a piece with a letter.
[img]data:image/png;base64,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[/img][br]Write an equation.
Explain how to reason with the [i]diagram[/i] to find the weight of a piece with a letter.
Explain how to reason with the [i]equation[/i] to find the weight of a piece with a letter.
When you have the time, visit the site [url=https://solveme.edc.org/Mobiles.html]https://solveme.edc.org/Mobiles.html[/url] 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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Information: IM 6.6.3 Lesson: Staying in Balance