Designing a Mathematical Rollercoaster

thingiverse

This is a detailed lesson plan for teaching students about functions and graphing while having them design and build a rollercoaster model using 3D printing technology. Here's a breakdown of the key points: **Lesson Overview** * Students will learn about various types of functions (linear, polynomial, trigonometric, logarithmic, and exponential) and how to graph them. * They will use technology to plot their graphs and design a rollercoaster model. * The final product is a 3D printed rollercoaster model. **Day 1-5: Design and Build** * Students work in groups to design a rollercoaster using graphing software (Desmos). * They take a picture of their design and convert it to an SVG file using online converter. * Import the SVG file into 123d Design, where they draw a spline that resembles the original curve. * Delete the original curve, scale the spline to the maximum printer size, and add support for printing. * The final step is to export the model as an STL file and bring it to the MakerBot desktop software. **Day 6: Wrap-up** * Each group presents their rollercoaster model and shares their answers to worksheet questions. * Students roll a marble or ball down their rollercoaster to test its design. **Assessment** * A rubric is provided for grading, which includes: + Following the rules for constructing the graph (10 points) + Correctly labeling equations and domains (50 points) + Answering worksheet questions correctly (20 points) + Participating in group work and class discussions (20 points) **Preparation** * Students should have a basic understanding of various types of functions, how to graph them, and perform transformations on them. Overall, this lesson plan is designed to be engaging and hands-on, allowing students to apply their knowledge of functions in a real-world context. The use of 3D printing technology adds an exciting element to the project, making it more interactive and fun for students.