## Reflection: Complex Tasks Running and the Domain of Middle Earth: Modeling a Run and a Hobbit's Journey through Piece-wise Functions - Section 2: Class Activity: Using Piece-Wise Functions to Model Situations: Jim's Run

The scenario of Jim's Run provides students with a number of complex tasks. At the beginning, I appreciate how the activity supports students in their thinking about connecting the idea of various rates of change to model a real-life scenario (see Student Sample 1 Piece Wise Functions and Student Sample 2 Piece Wise Functions for examples of student work in this area).

In addition, the task asks students to create a number of "mini" linear functions, that when taken together create the piece wise function that models Jim's run (Student Sample 3 Creating Piece Wise Functions).

The writing prompts for this problem-based activity (Student Sample 4 Writing about Piece Wise Functions) provides students with the opportunity to not only express their thinking through writing, but also provides students with time and space to interpret piece wise functions and interpret the meaning of the function based on a scenario.

Complex Tasks: The "Pieces" of Piece Wise Functions as a Complex Task

# Running and the Domain of Middle Earth: Modeling a Run and a Hobbit's Journey through Piece-wise Functions

Unit 3: Everything is Relative: Linear Functions
Lesson 7 of 10

## Big Idea: Students model the many adventures of hobbit Frodo Baggins while exploring the concept of domain AND learning how to graph piece-wise functions!

Print Lesson
4 teachers like this lesson
Standards:
Subject(s):
Math, Algebra, linear models, modeling, linear functions, piecewise-defined functions, Common Core, master teacher project, Graphing
90 minutes

### Jason Colombino

##### Similar Lessons

###### What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Favorites(41)
Resources(19)
Fort Collins, CO
Environment: Suburban

###### Building Cat Furniture: An Introduction to Linear Programming
12th Grade Math » Matrices and Systems
Big Idea: Use Legos for an interactive introduction to linear programming!
Favorites(10)
Resources(24)
Troy, MI
Environment: Suburban

###### Solving Linear Inequalities
Algebra I » Linear Inequalities
Big Idea: Students will apply their knowledge of multi-step equations to solve linear inequalities.
Favorites(28)
Resources(22)
Washington, DC
Environment: Urban