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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 | UG-Intro HS |
HW CQs |
7/7/13 |
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Calculus Grapher for Math (Pre-Calculus or Calculus)
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Trish Loeblein, Mike Dubson | UG-Intro HS |
CQs Demo HW |
7/7/13 |
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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 |
HW Demo Lab CQs |
7/20/13 |
| 미적분 그래프 작성기 사용설명서 | 이화국(Wha Kuk Lee) | UG-Intro HS |
Lab Demo CQs |
5/22/13 |
| Calculus Graphing | Patrick Foley | HS | Lab | 8/23/13 |
| 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:
| Language | Language (Translated) | Simulation Title | ||
|---|---|---|---|---|
| Arabic | العربية | راسم حساب التفاضل والتكامل | Run Now | |
| Arabic, Saudi Arabia | العربية (السعودية) | راسم حساب التفاضل والتكامل | Run Now | |
| Basque | Basque | Kalkulurako grafiko sortzailea | Run Now | |
| Bosnian | Bosnian | FUNKCIJE, IZVODI, INTEGRALI - GRAFIČKI | Run Now | |
| Brazilian Portuguese | português (Brasil) | Cálculo no Gráfico | Run Now | |
| Chinese - Simplified | 中文 (中国) | 积分 | Run Now | |
| Chinese - Traditional | 中文 (台灣) | 微積分繪圖 | Run Now | |
| Danish | Dansk | Graftegner | Run Now | |
| Dutch | Nederlands | Afgeleiden en Integralen tekenen | Run Now | |
| Estonian | Eesti | Graafik | Run Now | |
| French | français | Grapheur | Run Now | |
| German | Deutsch | calculus-grapher | Run Now | |
| Greek | Ελληνικά | calculus-grapher | Run Now | |
| Hebrew | עברית | תצוגת גרפים בחשבון דיפרנציאלי | Run Now | |
| Hungarian | magyar | Függvénytani rajzoló | Run Now | |
| Indonesian | Bahasa Indonesia | Grafik Kalkulus | Run Now | |
| Italian | italiano | Calcolatrice grafica | Run Now | |
| Japanese | 日本語 | 微分積分グラフCalculus Grapher) | Run Now | |
| Kazakh | Kazakh | Есептегіш графа | Run Now | |
| Korean | 한국어 | 미적분 그래프 작성기 | Run Now | |
| Latvian | Latviešu | Funkciju atvasinājumu, integrāļu grafiki | Run Now | |
| Macedonian | македонски | Функции,изводи,интеграли | Run Now | |
| Norwegian Bokmal | Norwegian Bokmål | Calculus graf | Run Now | |
| Persian | Persian | حساب ديفرانسيل و انتگرال | Run Now | |
| Polish | polski | Zobacz Całkę | Run Now | |
| Serbian | Српски | ФУНКЦИЈЕ, ИЗВОДИ, ИНТЕГРАЛИ -ГРАФИЧКИ | Run Now | |
| Slovak | Slovenčina | Derivácia a integrál funkcie | Run Now | |
| Spanish | español | Graficador de Cálculo | Run Now | |
| Spanish (Colombia) | español (Colombia) | Graficador de cálculo | Run Now | |
| Spanish (Peru) | español (Perú) | Graficador de Cálculo | Run Now | |
| Swedish | svenska | Grafräknare | Run Now | |
| Turkish | Türkçe | Hesap Grafiği | Run Now | |
| Turkmen | Turkmen | Hasaplaýyş çyzgyçy | Run Now | |
| Vietnamese | Tiếng Việt | Calculus Grapher | Run Now |
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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