The Math Forum - Corner for Interactive Geometry Software

 CIGS = Corner for Interactive Geometry Software


Algebra and
Calculus Sketches

by Ruth Carver

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Viewing sketches on this page requires The Geometer's Sketchpad. For information about purchasing the software, downloading demo versions, and setting up Sketchpad as a helper application for your Web browser, see the Forum's Dynamic Geometry Software page.

Algebra

Line Sketch

One line, Y=X, is fixed. You can manipulate the position of another line, Y=MX+B, by altering the values of M or B. There are also questions to go with this graph.

Parabola Sketch 1

Similar to the first graph, here there's a fixed parabola Y=X^2, and one to experiment with, Y=AX^2+C.

Parabola Sketch 2

Change even more variables by comparing Y=X^2 with Y=A(X-H)^2+K.

Calculus

Tangent Line Problem

Given a function f and a point P on f, find an equation of the tangent to the graph at P. Why would you want to do this, and how would you go about solving this problem?

These five sketches take you step-by-step through the solution of the tangent line problem:

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The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.

Ruth Carver * * ruth@mathforum.org * * 26 September 1995