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Copyright © Swun Math Grade 8 Unit 4 Lesson 7 C TE

Equations with Variables

On Both Sides

Conceptual Lesson

Grade 8 · Unit 4 · Lesson 7
MC: 8.EE.7b

Problem of the Day

Objective: I will learn to solve equations with variables on both sides.

Vocabulary Teacher Resources

Properties of Equality: two equations that have

the same solution are called equivalent; the

inverse operation can be performed on each side

without changing the equality; additive inverse

and multiplicative inverse are both examples

Algebra Tiles: a visual model used for algebraic

expressions and equations

Considerations:

The use of algebra tiles or colored chips should be

used to model the equations and build conceptual

understanding.

Remind students that what is done to one side of the

equation MUST be done to the other side of the

equation. When getting variables to one side of the

equation, moving the smallest variable will avoid

dividing by a negative.

Steps:

1. Collect like terms.


2. Move variables to one side (additive inverse).


3. Move integers to one side (additive inverse).


4. Isolate the variable (multiplicative inverse).


5. Solve and check.

Application of MPs:

MP7: Why is it helpful to understand the properties

of equality?

If I understand the properties of equality, I can

___________________.

MP8: Explain how this strategy made it easier to

identify the solution.

I made the equation easier to solve by

___________.

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* ^ *

MPs (^) Applied MP

• Embedded MP

• 1
  ─1

• x x 0

Student Journal Pages

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