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Course, Subject

Mathematics, Physics, Math, Science & Technology, Mathematics (NYS P-12 Common Core)

Description

This simulation will allow students to 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.

Using the simulation, students will:

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.
• Generalize the idea of a graph [F(x) vs x] or [x(t) vs t] can represent the same thing.

Website(s)

PhET Interactive Simulations

Simulation

Click on the link below to view the simulation:

• Calculus Grapher

Requirements

Click here to view the download requirements for this website.

Content Provider

Physics Education Technology
The Physics Education Technology (PhET) project at the University of Colorado produces fun, interactive simulations of physical phenomena that make bridges to the real world.

Related Academic Standards

New York State

N-VM.1 Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).

N-VM.2 Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

N-VM.3 Solve problems involving velocity and other quantities that can be represented by vectors.

N-VM.4 Add and subtract vectors.

N-VM.4.a Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

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