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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 Threads & Trends: Build a T-Shirt Company with Calculus

Threads & Trends: Build a T-Shirt Company with Calculus

Created by
SG'S STEM STORE
Turn your classroom into a business lab with this engaging end-of-year AP Calculus AB project! In Threads & Trends, students create their own T-shirt company and use calculus to make real business decisions. They’ll build cost, revenue, and profit functions, use derivatives to maximize profit, graph their models, and make data-driven recommendations like real entrepreneurs. This project blends optimization, derivatives, modeling, and business applications into a creative, real-world challenge
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