## Reflection: Developing a Conceptual Understanding Don't Sink The Boat - Section 2: Hook

The real power of this portion of the lesson is to have students see the connection between the algebraic and numerical strategies for solving.  When students were writing their inequalities, they were able to do so, but were not really understanding what they were doing.  We had the "Aha" moment as a class when the students started to choose coordinates that were in the shaded area of both constraints and began to plug them into each inequality, showing that they worked in both.  This was my intention for using multiple representations in this problem.  I wanted students to gain a deeper understanding by seeing how connections could be made.  This ended up being a great way to launch into the main problem which was much more abstract in terms of its presentation.

Making Connections
Developing a Conceptual Understanding: Making Connections

# Don't Sink The Boat

Unit 3: Systems of Equations
Lesson 13 of 13

## Big Idea: Life is full of constraints and usually more than one at a time. So what is allowed? Students use systems of inequalities to determine feasible values on the coordinate plane.

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45 minutes

### James Bialasik

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