G8

(Amit KumaranZ9-e) #1

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:


  1. Work on the side with the variable.

  2. Apply the additive inverse.

  3. Apply the multiplicative inverse.

  4. 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
Free download pdf