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Page 1 of 19 MCC@WCCUSD 011/02/2015
Grade Level/Course: Math 8 Lesson/Unit Plan Name: Solving Linear Equations with One Solution, No Solutions and Infinitely Many Solutions.
Rationale/Lesson Abstract: The objective of this lesson is to give students an understanding of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Students will be able to write an equation that can be used to determine the number of solutions of the form x=a, a=a, or a=b.
Timeframe: 2-3 60 minute periods
Common Core Standard(s): Analyze and solve linear equations and pairs of simultaneous linear equations. 8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x=a, a=a, or a=b results (where a and b are different numbers).
Instructional Resources/Materials: Paper, Pencil, Warm-up (p.18-19), Index Cards (p.9), Graphic Organizer (p.2-8) and Answer Keys (p.9-17)
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Activity/Lesson:
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Warm-Up
CCSS: 6.EE.7 CCSS: 7.EE.1
CCSS: 8.EE.7 SBAC: 8.EE.7a
y
x
Use the Distributive Property to write the expression as an equivalent expression:
x Solve using two methods
Solve the equation. Check your solution:
Solve the equation. Check your solution:
Select all equations that have no solution.
A. B. C. D.
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Warm-Up: Answer Key
CCSS: 6.EE.7 CCSS: 7.EE.1
CCSS: 8.EE.7 SBAC: 8.EE.7a
y
x
Use the Distributive Property to write the expression as an equivalent expression:
[6x+30]
x Solve using two methods
Solve the equation. Check your solution:
[x=4]
Select all equations that have no solution.
A. B. C. D.
[C and D]
Solve the equation. Check your solution:
[p=-3]