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More Balanced Moves: IM 8.4.4
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1. Lesson 8.4.4
- IM 8.4.4 Lesson: More Balanced Moves
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2. Practice 8.4.4
- IM 8.4.4 Practice: More Balanced Moves
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More Balanced Moves: IM 8.4.4
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 10, 2020
“More Balanced Moves” from IM Grade 8 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 8.4.4
- IM 8.4.4 Lesson: More Balanced Moves
- Practice 8.4.4
- IM 8.4.4 Practice: More Balanced Moves
IM 8.4.4 Lesson: More Balanced Moves
Which of these have the same solution as Equation 1?
Equation 1:
Explain your reasoning.
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| Here is an equation, and then all the steps Clare wrote to solve it: | | Here is the same equation, and the steps Lin wrote to solve it: |
| | | |
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Explain your reasoning.
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Describe some ways the steps they took are alike.
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Describe some ways the steps they took are different.
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Mai and Noah also solved the equation, but some of their steps have errors. Find the incorrect step in each solution and explain why it is incorrect.
| Mai: | | Noah: |
| | |
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Solve these equations for x.
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I have 24 pencils and 3 cups. The second cup holds one more pencil than the first. The third holds one more than the second. How many pencils does each cup contain?
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IM 8.4.4 Practice: More Balanced Moves
Mai and Tyler work on the equation. together. Mai's solution is and Tyler's is . Here is their work. Do you agree with their solutions?
| Mai: | | Tyler: |
| | | |
| | ||
| | ||
| |
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Explain your reasoning.
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Solve
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Describe what is being done in each step while solving the equation.
Starting equation:
Step 1:
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Step 2:
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Step 3:
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Step 4:
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Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can’t find it.
Where is Andre’s mistake?
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What is the solution to the equation?
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Choose the equation that has solutions and .
A length of ribbon is cut into two pieces to use in a craft project. The graph shows the length of the second piece, for each length of the first piece, .
How long is the ribbon?
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Explain how you know.
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What is the slope of the line?
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Explain what the slope of the line represents and why it fits the story.
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