Calculus Derivatives Project: The Calculus Coaster
Tyler Kissner
31 Followers
Grade Levels
11th - 12th, Higher Education, Homeschool
Subjects
Resource Type
Standards
CCSSHSF-IF.A.2
CCSSHSF-IF.B.6
CCSSHSF-IF.C.7a
CCSSHSF-IF.C.7c
CCSSHSF-IF.C.7e
Formats Included
- PDF
Pages
4 pages
Tyler Kissner
31 Followers
Description
A project that combines the concepts of continuity and differentiation and applies it to a real world situation. The students must first use both continuity and differentiation to solve for multiple coefficients. They then use the coefficients they have solved for and their knowledge of derivatives to answer questions about the situation. Designed for an AP or Advanced Calculus 1 class.
Total Pages
4 pages
Answer Key
Included
Teaching Duration
3 days
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Standards
to see state-specific standards (only available in the US).
CCSSHSF-IF.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
CCSSHSF-IF.B.6
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
CCSSHSF-IF.C.7a
Graph linear and quadratic functions and show intercepts, maxima, and minima.
CCSSHSF-IF.C.7c
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
CCSSHSF-IF.C.7e
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.