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Unit - 4 Lesson 3 - Grade 8: Illustrative Mathematics

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Last updated 2 months ago
13 Questions
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Grade 8 Unit 4
Lesson 3: Balanced Moves
CC BY 2021 Illustrative Mathematics®
Grade 8 Unit 4
Lesson 3: Balanced Moves
CC BY 2021 Illustrative Mathematics®
Lesson: Balanced Moves

Matching Hangers (Warm Up)

Figures A, B, C, and D show the result of simplifying the hanger in Figure A by removing equal weights from each side.

Here are some equations. Each equation represents one of the hanger diagrams.
Write the equation that goes with each figure:
1.

2.

3.

4.

5.

Each variable ( x, y, and z) represents the weight of one shape. Which goes with which?

6.

Explain what was done to each equation to create the next equation. If you get stuck, think about how the hangers changed.


Matching Equation Moves

Your teacher will give you some cards. Each of the cards 1 through 6 show two equations. Each of the cards A through E describe a move that turns one equation into another.

  • Match each number card with a letter card.
  • One of the letter cards will not have a match.
7.

For the card without a match, write two equations showing the described move..


Keeping Equality

8.

Noah and Lin both solved the equation
14a = 2(a - 3).


Do you agree with either of them? Why?

9.

Elena is asked to solve
15 - 10x = 5(x + 9). What do you recommend she does to each side first?

10.

Diego is asked to solve
3x - 8 = 4(x + 5). What do you recommend he does to each side first?

Cool Down: More Matching Moves

More Matching Moves

Match these equation balancing steps with the description of what was done in each step.

11.

Match the equation balancing steps with the description of what was done in each step.


12.

Match the equation balancing steps with the description of what was done in each step.


13.

Match the equation balancing steps with the description of what was done in each step.