In this culminating lesson, students integrate the ideas from the unit and engage in multiple aspects of mathematical modeling (MP4).
In the first activity, they interpret and analyze given models that represent the constraints and conditions in a situation. In the second activity, they create their own models after specifying quantities of interest, identifying relevant information, and setting the constraints.
- Define the constraints in a situation and create a mathematical model to represent them.
- Interpret a mathematical model, presented as inequalities and graphs, that represents a situation.
- Let’s create mathematical models using systems of inequalities.
Acquire devices that can run Desmos (recommended) or other graphing technology. It is ideal if each student has their own device. (Desmos is available under Math Tools.)
- I can interpret inequalities and graphs in a mathematical model.
- I know how to choose variables, specify the constraints, and write inequalities to create a mathematical model.
solutions to a system of inequalities
All pairs of values that make the inequalities in a system true are solutions to the system. The solutions to a system of inequalities can be represented by the points in the region where the graphs of the two inequalities overlap.
system of inequalities
Two or more inequalities that represent the constraints in the same situation form a system of inequalities.
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