Confidence Intervals applets

(1) Confidence intervals on the mean are generated for simulated experiments. The confidence level and sample size can be altered.
http://www.ruf.rice.edu/~lane/stat_sim/index.html

(2) This applet simulates finding confidence intervals for the mean of a normal random variable. A sample of size 20 is generated from a standard normal random variable.
http://www.math.csusb.edu/faculty/stanton/m262/confidence_means/confiden...

Sampling Distributions

This applet estimates and plots the sampling distribution of various statistics. You specify the population distribution, sample size, and statistic. An animated sample from the population is shown and the statistic is plotted. This can be repeated to estimate the sampling distribution.

http://www.ruf.rice.edu/~lane/stat_sim/sampling_dist/index.html

Correlation and Regression

Add some points to the scatterplot. The applet will calculate the correlation coefficient and the sum of squares. You can also choose to show the least-squares regression line and the x-mean and y-mean lines. Very instructive!

http://bcs.whfreeman.com/yates2e/pages/bcs-main.asp?v=category&s=00020&n...

"Old Faithful" Histogram

This applet teaches students in a very dramatic way how changing the "bin width" of a histogram can dramatically alter the shape of the histogram. Lesson: you should graph your data with a number of different bin widths and choose the one that you feel best represents the data.

http://www.stat.sc.edu/~west/javahtml/Histogram.html

Completing the Square

Here are two versions of Completing the Square - a web page from NCTM and an ActivStudio flipchart.

Completing the Square web page
http://illuminations.nctm.org/ActivityDetail.aspx?ID=132

Completing the Square flipchart

Virtual Slide Rule

An on-line slide rule. Brings back memories....
http://www.syssrc.com/html/museum/html/sims/javaslide/

Click on the title above to download the slide rule in an Activstudio flipchart.

Derivative of y= x^2

Move the red dot on the parabola and the gradient function (a linear function) is graphed below it. Very neat. From Manipula Maths.
http://www.ies.co.jp/math/java/calc/x_diff/x_diff.html

This applet also draws the graph of the 2nd derivative.
http://www.ies.co.jp/math/java/calc/x_2nd/x_2nd.html

Derivative of Sine and Cosine Functions

Move the red dot on the trig function and the graph of the gradient function is shown below. Very neat! From Manipula Maths.
http://www.ies.co.jp/math/java/calc/sin_diff/sin_diff.html

This applet also shows the graph of the 2nd derivative.
http://www.ies.co.jp/math/java/calc/sin_2nd/sin_2nd.html

Surfing

A man is riding on the surf. We set f(x) as the curve of the wave . Observe the slope of the surfbord. The trace of the slope is the derivative of f(x). From Manipula Maths.

http://www.ies.co.jp/math/java/calc/doukan/doukan.html

Changing the Border & Dividing a Quadrilateral

Changing the Border
This is a nifty puzzle whose solution is based on the area of a triangle. The land is divided into two parts (P and Q) by the border ABC. Redraw a straight border line passing through point A so that each of the areas does not change.
http://www.ies.co.jp/math/java/geo/tochia/tochia.html

Dividing a Quadrilateral
This is a more challenging problem that is based on the same underlying concept.
http://www.ies.co.jp/math/java/geo/shi2to/shi2to.html

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