Copyright © Copyright © Swun MathSwun Math (^) Grade 8 Unit 4 Lesson 2 P TE
One-Step Equations
Procedural Lesson
Grade 8 · Unit 4 · Lesson 2
MC: 8.EE.7
Problem of the Day
Objective: I will solve one-step equations by applying inverse operations.
Vocabulary Teacher Resources
Inverse Operations: operations that undo each
other; the opposite operation
Addition Subtraction
Multiplication Division
Additive Inverse: a number and its opposite
whose sum is 0; also called a zero pair
(─3) + (3) = 0
Number Additive Inverse
y + 12 = 20
─ 12 ─ 12
y = 8
Multiplicative Inverse: a number and its
reciprocal; when these numbers are multiplied,
the product is 1.
− 5 ⋅
1
−5 = 1^
Number Multiplicative Inverse
4n = 12
4 푛푛
4
=
12
4
n = 3
Considerations:
Review inverse operations with students. Be sure to
reinforce the idea that an equation must stay equal.
Whatever is done to one side, must be done to the
other. Use a visual of a balance if needed. Revisit the
idea that when applying the additive inverse, a zero
pair emerges, and when applying the multiplicative
inverse, a set of factors with a product of 1 emerges.
Steps:
- Work on the side with the variable.
- Apply the additive inverse.
- Apply the multiplicative inverse.
- Check the solution by substituting.
Application of MPs:
MP 1 : What inverse operation is needed to solve
?
The inverse operation needed to solve the
problem is.
.
MP7: What patterns do you find when solving one-
step equations?
If there is a coefficient, then I need to apply
the inverse.
If there is a constant, then I need to apply the
inverse.
1 2 3 4 5 6 7 8
* * * * ^ *
MPs
Applied MP
* Embedded MP
Student Journal Pages
162 - 167