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.
Lesson overview
- 26.1 Warm-up: A Solution to Which Inequalities? (5 minutes)
- 26.2 Activity: Custom Trail Mix (20 minutes)
- 26.3 Activity: Design Your Own Trail Mix (20 minutes)
- Lesson Synthesis
Learning goals:
- 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.
Learning goals (student facing):
- Let’s create mathematical models using systems of inequalities.
Learning targets (student facing):
- 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.
Required materials:
- Graphing technology
- Tools for creating a visual display
Required preparation:
- 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.)
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