## Reflection: Lesson Planning Introducing Inconsistent & Dependent Systems - Section 2: Investigation

Next time I teach this lesson, I'd like to place more emphasis in the discussion about debating what is happening in Questions #2 and #3. Rather than guide students about how the two systems are different, I'd like to run a discussion based on their reasoning and arguments about what's happening in the systems. I am curious to see how they will think through the difference between two equations that come out the same (or equivalent equations) and two equations that have matching variables, but different totals. I would like to allow for more "productive struggle" around these problems and am looking forward to seeing how students make sense of the differences between them, more in terms of their thinking about shopping than about the algebra itself.

Contrasting infinite solutions with no solution
Lesson Planning: Contrasting infinite solutions with no solution

# Introducing Inconsistent & Dependent Systems

Unit 3: Systems of Equations and Inequalities
Lesson 9 of 17

## Big Idea: Wait a second! Students explore what happens when there are no solutions that satisfy a system of equations as well as what happens when there are an infinite number of solutions.

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Standards:
Subject(s):
Math, Algebra, Systems of Equations and Inequalities, systems of equations, infinite solutions, no solution, dependent systems, inconsistent systems
60 minutes

### Amanda Hathaway

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