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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 4 P TE^

Two-Step Equations

Procedural Lesson

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

Problem of the Day

Objective: I will solve two-step equations by collecting like terms and using inverse operations.

Vocabulary Teacher Resources

Expression Equation Variable

ퟓퟓퟓퟓ풙풙ퟓퟓ−ퟗퟗ풙풙+ퟑퟑퟑퟑ=ퟕퟕ풎풎+ퟖퟖퟓퟓ

Term Coefficient Constant

Inverse Operations: operations that undo each

other

Addition Subtraction

Multiplication Division

Additive Inverse: a number and its opposite

whose sum is 0; also called a zero pair

Multiplicative Inverse: a number and its

reciprocal whose product is 1

Considerations:

It is important that students understand what “isolate

the variable” means. Sometimes it takes multiple

steps to isolate the variable. The last step in solving

one-step equations is ALWAYS EITHER to multiply or

divide when there is a coefficient attached to the

variable.

A great strategy to implement when moving variables

from one side of the equal sign to the other is to move

variable terms to keep the coefficient positive.

*If needed, model and teach I/M #3 and all

corresponding problems on the next day of

instruction.

Steps:

1. Collect like terms, if necessary.


2. Move all terms with variables to one side.
   (Use Additive Inverse)


3. Move all constants to the other side.
   (Use Additive Inverse)


4. Solve for the variable.
   (Use Multiplicative Inverse)

Application of MPs:

MP6: What mathematical language can you use to

describe the process of solving for a variable?

I need to use operations to

isolate the variable to identify its value.

MP7: How does solving multi-step equations relate

to solving one-step equations?

When solving for one-step equation I had to

use the operations in isolation.

A multi-step equation requires me to use.

1 2 3 4 5 6 7 8

* * * * ^ *

MPs

Applied MP

* Embedded MP

Student Journal Pages

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