GeoGebra Applet Central

Line through Two Points

2012-03-10T16:59:00.000+08:00

Move sliders m and b to approximate the line that passes through the two points. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com The applet above shows that given two points, a line maybe drawn through them which is the first postulate of Euclid

Odd Number Theorem

2012-03-04T22:50:00.002+08:00

Move the slider and observe what happens. How many 1 by 1 squares are added each time the slider increases by 1? What is the total number of colored squares 1 by 1 if n = 3, 4, 5? What can you generalize from your observations in 1 and 2? This is a Java Applet created using GeoGebra

Square Within a Square

2012-03-01T20:55:00.000+08:00

Given a square with side length a and two pairs of parallel segments, find the area of the shaded square. You can move point B to change the size of the square or point A to change the size of the inner quadrilateral. This is a Java Applet created using GeoGebra from www.geogebra.org

Pythagorean Theorem Proof

2012-02-23T09:58:00.003+08:00

Given congruent squares P and Q, each of which, containing four congruent right triangles. Move point A to change the size of the rectangle or point B to change the size of the squares. This is a Java Applet created using

Mathematics and Multimedia Carnival 20

2012-02-20T07:12:00.001+08:00

Welcome to the 20th edition of the Mathematics and Multimedia Blog Carnival - Dartboard Edition. Here are the posts I have collected this month; some from the blog carnival site and some from my RSS Feed. Before we begin a carnival, let's have some trivia about the number 20. The number of sectors in a dartboard. The atomic number of calcium. It is the smallest primitive abundant

GeoGebra 4.0 Essentials Series

2012-02-18T00:24:00.001+08:00

My apologies. I am quite busy for the past two weeks, and looks like I am going to be busy until the first week of March. Anyway, for those who had not visited Mathematics and Multimedia recently, the GeoGebra Essentials Series had already been updated to version 4.0. The first 10 tutorials in the GeoGebra Intermediate Tutorial Series were also updated last month. I hope this will

New Blog: Mathematical Palette

2012-02-12T21:32:00.002+08:00

Hi all. I have been very busy these past days, I hope to be back next week to create more GeoGebra applets. One of the reasons that I am busy because I am setting up a new blog titled Mathematical Palette. It's a blog that celebrates mathematical art, beauty, and wonders. I will be discussing non-content mathematics. I will focus on the connections of mathematics to other fields such as

Animation Using Bézier Curves

2012-02-04T02:23:00.000+08:00

"A Bézier curve is a parametric curve frequently used in computer graphics and related fields. Bézier curves are also used in animation as a tool to control motion. In animation applications, such as Adobe Flash and Synfig, Bézier curves are used to outline, for example, movement. Users outline the wanted path in Bézier curves, and the application creates the needed frames for the object to move

Sum of Vectors

2012-01-31T08:36:00.000+08:00

This applet shows the graphical represenentation of the sum of two vectors. In the graph, u and v are vectors, and w = u + v. BD is the translation of AC and CD is the translation of AB. AD represents the sum of the vectors. This is a Java Applet created using GeoGebra

Math and Multimedia Carnival will be hosted here

2012-01-27T11:57:00.001+08:00

The Mathematics and Multimedia Carnival is on its 20th edition and will be hosted here. If you have a blog post about school mathematics, mathematics teaching and learning, multimedia tools, or any related article, you may submit here or email me directly at mathandmultimedia@gmail.com. The deadline of submissions is on February 18, 2012 and the post date is on February 20. You may want

Deriving the Equation of the Parabola

2012-01-25T21:00:00.000+08:00

Instructions: Move point A to adjust the position of the vertical line and move F along the x-axis as desired. Move C along the line and observe what happens. This is a Java Applet created using GeoGebra from www.geogebra.org - it

Tangram Puzzle: Constructing a Square

2012-01-20T00:30:00.000+08:00

Move the tangrams to construct a square. Drag the interior to change their position and use the 'blue point' on the vertex to rotate. This is a Java Applet created using GeoGebra

Squaring a Convex Polygon

2012-01-17T07:17:00.000+08:00

This applet constructs a triangle with an area equal to the area of any convex polygon ABCDEF. The applet Squaring a Triangle shows how any triangle can be transformed to a square with an equal area. The combination of these two constructions shows how to square any convex polygon. Click on point F. Drag F to the right as far as it can go. Repeat these two steps three times,

Squaring a Triangle

2012-01-16T11:41:00.000+08:00

This applet shows the construction of a square with the same area as a given triangle. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com Author: Irina Boyadzhiev of Ohio State

Area of Triangles Under a Curve

2012-01-09T13:21:00.001+08:00

Given: Right triangle BCD whose hypotenuse is tangent to the function f(x) = a/x. Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now) Move slider a and observe what

Equation of a Circle

2012-01-05T00:30:00.000+08:00

Move sliders h, k, and r to form the desired circle. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com This applet shows that a circle can be determined given a center (h,k) and a radius r.

Routh's Theorem

2012-01-02T08:10:00.000+08:00

Move ABC to determine the shape of a desired triangle and move the slider. What do you observe? This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com The Routh's theorem determines the ratio of areas between a

Sine Difference Formula and Cosine Addition Formula

2011-12-21T15:29:00.000+08:00

This applet shows a proof of the difference formula for sine, and a proof of the addition formula for cosine, using the formula . This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com Reference: Proof of

Minimum Area

2011-12-19T08:14:00.002+08:00

Move the slider and observe the graph. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com The figure shows a semicircle of radius one and a horizontal line parallel to the diameter.

Java having trouble again?

2011-12-18T04:03:00.000+08:00

I'm not really sure but for some reason GeoGebra Central does not load in two computers that I'm using. I wanted to post since last week, but I can't preview the applets. I'll see if I can post tomorrow using another computer. Happy holidays everyone.

Constructing triangles given the side lengths

2011-12-12T10:48:00.001+08:00

Move AD, BE and CF to determine the side length of the triangle. 1 This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com 1.) Use the segment to construct the following triangles: a.)

The Parabola in Vertex Form

2011-12-06T09:44:00.002+08:00

Move sliders a, h, and k. What do you observe? How are a, h, and k relates to the graph's movement? Make a generalization about the relationship between the parameters a, h, and k and the movement of the appearance of the graph.

You can now Like GeoGebra Applet Central on Facebook

2011-12-04T20:40:00.001+08:00

You can now like GeoGebra Applet Central on Facebook. You can use the box below or the box is located at the upper right part of the page. You can also follow GAC on Twitter and Friendfeed. You can also subscribe to GACs Feedburner feeds.

Rectangle-Triangle Area Relationship

2011-12-02T14:49:00.001+08:00

Consider the rectangle and the triangle below. What do you observe? What are common properties between the two polygons? Drag point D to change the height of the triangle and drag point A or B to change the length of the base. What do you observe? What can you say about the areas of the two figures? Justify your answer. Click the Show Areas check box in the applet. Was your answer in 3