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This Nature of Solutions of a System of Linear Equations lesson plan also includes:
- Nature of Solutions of a System of Linear Equations - Teacher Version (doc)
- Nature of Solutions of a System of Linear Equations - Student Version (pdf)
- Nature of Solutions of a System of Linear Equations - Student Version (doc)
- Grade 8 Module 4: Teacher Materials
- Grade 8 Module 4: Student Materials
- Grade 8 Module 4: Copy Ready Materials
- Math Fluency Support for Grades 6-8
- Answer Key
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If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes the instruction on the number of solutions a system may have by looking at instances where the equations name the same line.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Lead a discussion on why the number of solutions is zero, one, or infinite but cannot be another number such as two
- Provide groups with a list of systems of equations to catorgize as either having one solution, no solutions, or infinite solutions
Classroom Considerations
- Requires graph paper for the problem set
- The class should be fluent in evaluating linear expressions
Pros
- Pupils verify their solutions with a graph in the problem set
- The discussion script provides expected class responses
Cons
- None