G8

Copyright © Swun Math Grade 8 Unit 4 Lesson 9 C TE

Equations: No Solution or Many

Conceptual Lesson

Grade 8 · Unit 4 · Lesson 9
MC: 8 .EE.7a

Problem of the Day

Objective: I will explore equations that have no solutions or many solutions.

Vocabulary Teacher Resources

No solution: If an equation yields a statement

that is not true, such as 2=3, then the equation

has no solution.

Infinite solutions: If an equation yields a

statement that is always true, such as 2=2, then

the equation has infinite solutions.

Considerations:

Review solving equations. The use of algebra tiles is

only modeled in the input/model for the students, but

they should feel free to use tiles to help them solve in

all the problems if needed. Some students feel uneasy

about having “no solution;” they tend to think they

have errors. The use of algebra tiles will help them

“see”. If working procedurally, make sure they solve

slowly and show all steps. Remind students to keep

numbers in line.

Steps:

1. If using tiles, set up the problem.


2. Remove the same amount from each side of
   the equation.


3. Continue to simplify.


4. Decide if your answer has no solution or
   infinite solutions.

Application of MPs:

MP 2 : Which numbers are easiest for you to insert

into equations with multiple variables?

The easiest numbers for me to insert into

equations with multiple variables are.

MP 8 : What do you notice about equations that have

multiple answers? What do you notice about

equations that have no answers?

I notice that when equations have multiple

answers, and when an equation has no

answers,.

MPs

Applied MP

* Embedded MP

1 2 3 4 5 6 7 8

* ^ *

Student Journal Pages

198 - 201