## Reflection: Real World Applications Modeling with Functions - Section 4: Closure

This ended up being a really cool closing activity.  I could not believe the different ideas that students were coming up with.  You can see from the attached student work that the students were able to get very creative with their graphs.  Unfortunately, we ran somewhat short on time so the descriptions left a little to be desired.  That said, if a student was able to construct a graph with the axes labeled they had at least envisioned the situation in their head and thought about how the graph might appear.

This lesson in general was quite challenging for students.  Most students were able to get the first two models in the investigation that were linear.  Student's lack of experience with non-linear models held them back from even being able to envision what "losing half of its value each year" would look like graphically.  I think it will be very interesting to revisit an assignment like this after students have worked with exponential and quadratic functions to see how their level of thinking changes.

Real World Applications: Closure-Reflection

# Modeling with Functions

Unit 1: Functions
Lesson 9 of 18

## Big Idea: The situation that a function represents is reflected in the graph of that function.

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Standards:
Subject(s):
Math, modeling, Algebra, function, domain, range, evaluate
40 minutes

### James Bialasik

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