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The O'Donnell Foundation is devoted to building model programs to enhance the quality of education.
Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
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Teaching Resources
Main Topics
- Derivative
- Integral
Sample Learning Goals
- Given a function sketch, the derivative, or integral curves
- Use the language of calculus to discuss motion
- Explain what the effect of a discontinuity in a function has on the derivative and the integral curves
- Explain the difference between smooth versus piecewise continuous function curve
- Be able to describe in words with illustrations what the derivative and integral functions are.
- Students generalize the idea of a graph [F(x) vs x] or [x(t) vs t] can represent the same thing.
Tips for Teachers
The teacher's guide (pdf) contains tips created by the PhET team.
Teaching Ideas
| Title | Authors | Level | Type | Updated |
|---|---|---|---|---|
Calculus Grapher: Relating motion graphs to calculus graphs
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Trish Loeblein, Mike Dubson | HS UG-Intro |
HW CQs |
9/24/09 |
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Calculus Grapher for Math (Pre-Calculus or Calculus)
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Trish Loeblein, Mike Dubson | UG-Intro HS |
HW Demo CQs |
9/24/09 |
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Algebra-based Physics Semester one lessons, clicker questions, and schedule in pdf (Inquiry Based)
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Trish Loeblein | HS UG-Intro |
CQs Lab Demo HW |
8/29/12 |
| 미적분 그래프 작성기 사용설명서 | 이화국(Wha Kuk Lee) | HS UG-Intro |
CQs Lab Demo |
5/22/13 |
| Calculus Graphing | Patrick Foley | HS | Lab | 9/20/12 |
| 校舍補強 | 凃淑麗 | Grad MS |
CQs | 8/17/12 |
You can submit your own ideas and activities.
Related Simulations
Translated Versions:
Software Requirements
| Windows | Macintosh | Linux |
|---|---|---|
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Microsoft Windows
XP/Vista/7 Macromedia Flash 9 or later |
OS 10.5 or later
Macromedia Flash 9 or later |
Macromedia Flash 9 or later |
Credits
| Design Team | Third-party Libraries | Thanks To |
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