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Preview of Coaster Calculus Project | Continuity, Differentiability, & Second Derivatives

Coaster Calculus Project | Continuity, Differentiability, & Second Derivatives

Give your calculus students a meaningful way to apply continuity, differentiability, derivatives, and second derivatives through a real-world roller coaster design project. In this multi-phase Desmos activity, students create a piecewise roller coaster track, prove it is continuous, revise it to make it differentiable, and analyze second derivatives to improve ride comfort. This resource is designed to help students connect abstract calculus concepts to visual modeling and mathematical reasoning
Preview of Popcorn Box Optimization Project

Popcorn Box Optimization Project

Created by
Lisa Jackson
Use Calculus to find the maximum volume of a box without a lid. Create the box from an 8.5x11 piece of paper cut down to the assigned dimensions, determining the optimal corner to cut out, and the make the box. Includes link to a Google Sheets spreadsheet that contains the solutions for all sizes so you don't have to!
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