Friday, December 2, 2011
\(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + . . . \)
A simple applet illustrating the sum of the geometric series \(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + . . . \)
Friday, November 25, 2011
Factoring Trinomials
Factor trinomials while looking at the graph of the quadratic. Some of the examples are not factorable. It is also possible to turn off the graph. There are options to time yourself or to print a worksheet of randomly generated factoring practice problems.
Arithmetic Practice
Practice all your arithmetic skills on a single screen at ThatQuiz.org. Choose a single operation or a combination. Time yourself or not. Allow negatives or not. Practice with a selected number in all the problems by clicking the Focused checkbox and setting the Level to the number you'd like to practice with. Generate a url for a particular set-up.
Saturday, July 23, 2011
Find the equation of a line
This is my first applet created with JSXGraph , which looks quite promising (though it does require learning Javascript.)
Particularly helpful to me in developing this were Dr. Carol Fisher's Reference on JSXGraph Commands and the convert-to-math script in use at interactive mathematics. (The latter enables the user to enter the equation using standard calculator notation.) I also found the javascript tutorial at w3schools.com a very useful introduction to javascript.
The application uses MathJax to produce nice mathematical notation.
Thursday, July 7, 2011
Solving Absolute Value Equations and Inequalities
When teaching the algebraic solution of absolute value equations and inequalities, have students try problems generated here (on one of Dr. Carol J.V. Fisher's many great interactive math pages). I bet some students will start figuring out function transformations on their own as a result!
A First Course in Algebra
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There are also lots of interactive exercises for Geometry and Algebra 2.
Monday, July 4, 2011
Derivative Matching Game
Friday, July 1, 2011
Rational Function Graphs
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Velocity of a Falling Object
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Graphs of Taylor Polynomials
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Polar and Rectangular Coordinates
Use this demonstration from the Wolfram Demonstrations Project to explore the relationship between polar and rectangular coordinates. (To interact with it online you'll need to download and install Wolfram's free CDF Player.)
Max-Min Demonstrations from the Wolfram Demonstrations Project
These are some of the demonstrations from the Wolfram Demonstrations Project that illustrate classic Calculus I optimization problems. To interact with these online you'll need to download and install Wolfram's free CDF Player.
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Sunday, May 1, 2011
Introduction to Rectilinear Motion
Watch a particle moving along a line and figure out how to draw the corresponding position vs. time and velocity vs. time graphs. It is possible to change the position function by typing "s(x) = " followed by whatever function you'd like in the input line. (You can also access this applet on GeoGebraTube.)
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Download the Geogebra file which is the basis for this applet
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Download the Geogebra file which is the basis for this applet
Monday, March 21, 2011
Calculus Grapher
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Tuesday, February 8, 2011
SticiGui
Monday, February 7, 2011
Basic Descriptive Statistics
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Sunday, January 30, 2011
GeoGebra Calculus Applets Project
This is a collection of applets created by Marc Renault of Shippensburg University. Marc's "goal is to make a complete library of applets for Calculus I that are suitable for in-class demonstrations and/or student exploration."
Introduction to Area Under a Curve
In this applet from the GeoGebra Calculus Applets Project, you enter a function and position endpoints to see what the value of the integral is.
The Area Function
This applet from the GeoGebra Calculus Applets Project provides a way to explore the area function. The default integrand can be changed by right-clicking on the curve.
Saturday, January 15, 2011
Solving triangles
Practice solving 30-60-90 triangles or right triangles, or a mix of both at thatquiz.org, a site which allows you to customize practice on basic elementary, middle, and secondary school math topics. Random numbers are automatically generated for a series of problems based on the difficulty level and problem type(s) you choose.
Tuesday, January 11, 2011
Chain Rule Flashcards
I created these flashcards using Quizlet to help students practice using the chain rule.
Practice with the chain rule when the outside function is ln x
Practice with the chain rule when a power function is plugged into a trig function
Practice with the chain rule when a trig function is plugged into a power function
Practice with the chain rule when the outside function is ln x
Practice with the chain rule when a power function is plugged into a trig function
Practice with the chain rule when a trig function is plugged into a power function
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