Algebra and Beyond
Piecewise Functions Project | Project Based Learning | Distance Learning
Piecewise Functions Project | Project Based Learning | Distance Learning
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Roller Coaster Engineer: Students will create a roller coaster that demonstrates their knowledge and understanding of the following skills:
- Graph a continuous function that represents a roller coaster using parent functions. (Editable for teacher to choose which parent functions)
- Write the equation for each section of the roller coaster, using a transformational approach.
- Write a piecewise-defined function to represent the entire roller coaster.
- Determine the height of the roller coaster at a specified time.
- Identify function attributes: Domain and Range, Local Minima and Maxima, and Intervals of Increase and Decrease
INCLUDES:
- Note to Teacher
- Student handouts (100% editable)
- Rubric (100% editable)

Information about Real World Projects
Activity
Students are able to demonstrate their knowledge and understanding of math in real world settings. Authentic projects that can be used as individual or group work. Project based learning is perfect to integrate within a unit of study or used as a summative assessment.
Details
INCLUDES
• Note to Teacher describing how to use the project
• Student handout (editable)
• Rubric (editable)
*Some projects include extra handouts and/or videos
© Algebra and Beyond
This product is intended for personal use by ONE teacher only. It is a digital download and no physical product will be sent.
This project was excellent. The students had fun and I really liked the student grading of others work.
Great project to use as an extension or more practice.
My students loved this project. I was able to adapt it to a different theme easily. Students worked hard on this project!
This activity was a fantastic starting point for a real-world project I had in mind. I had students act as if they were pitching their roller coaster designs to a board of directors. They used Desmos to plan their coaster, calculated the domain accurately, and had to think critically about transformations and how each function connected to the next part of the ride. They recorded their pitch explaining what made their design special, why people would visit, and how the math supported the safety and functionality of their ride. It was creative, collaborative, and packed with meaningful math. Highly recommend!
This was a great end-of-unit project to use with my algebra 2 students instead of your typical test. My students were engaged and creative while trying to build their coasters!
Real World Math Projects
I am always trying to create or find projects where each students' project will be different than every other students in the class because it is more authentic this way. And of course, I want it to be applicable in the real world! This is not always easy to make because if every student’s project is different, or even has an unlimited number of solutions, checking each one is extremely difficult and time-consuming for the teacher. Well, guess what?!...these projects are authentic.