GeoGebra Applet Central

The Arithmetic Mean Geometric Mean Inequality

2012-05-22T17:25:00.002+08:00

Move A along the circumference of the semi-circle. What can you say about the relationship between AD and the radius of the 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

Bézier Curves - How the Recursive Algorithm Works

2012-05-14T12:16:00.000+08:00

A set of n+1 points will create a Bézier curve of n-th order. Drag the first slider to select the number of points. Drag the point on the slider "Recursion Level" to 1 to see the first new set of points. Continue dragging the Recursion Level slider to the end to see all recursive steps and how the last point, generating the Bézier curve, is constructed. Hit the Play button to follow the

Angle Bisector of a Right Triangle

2012-05-07T17:32:00.001+08:00

Move point P. 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 What can you say about the diagonal of the outer square in relation to its angles? in relation to the right triangles formed by the square? What can you say

Trisecting a Segment

2012-05-02T02:53:00.000+08:00

Move the point on the slider to the right to perform geometric construction. 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 Can you see why AG is one third of AB?

Arcs and Triangles

2012-04-26T05:20:00.000+08:00

Given isosceles triangle ABC whose length of the shorter leg is n, and arcs center at B and C, what is the area of the shaded part? 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 Download File

Two Squares and a Quadrilateral

2012-04-17T17:53:00.001+08:00

A common vertex is shared by two squares A. Quadrilateral HIJK is formed using the segments joining the vertices and the midpoints of the diagonals of the square. What is the shape of the quadrilateral? This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you

Segment Division

2012-04-07T09:07:00.001+08:00

This applet shows how to divide a segment into n equal parts. A slider was used together with the segment command. This is the output of GeoGebra Tutorial 16 - Slider, Sequence, and Segment Division of the GeoGebra Intermediate Tutorial Series. This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like

Folded Tape

2012-04-03T22:45:00.001+08:00

Drag the blue point to fold the tape. What type of triangle is the overlapped part? Justify your answer. 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 Download File

Overlapping Squares II

2012-03-28T17:13:00.004+08:00

1.) Move the red point. What do you observe? 2.) What can you say about the green and the blue triangles? 3.) Make a conjecture about the triangles. 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 4.) Click the Show Blue Point

Overlapping Squares

2012-03-24T23:34:00.002+08:00

Move the blue point and observe what happens. 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 Make a conjecture about the area of the overlapping regions. Prove your conjecture.

The Angle Trisector

2012-03-21T08:08:00.000+08:00

In the figure below, |AB| = |BD| = |CD|. Move point P and observe the figure. 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 What kind of triangle is triangle BDC? Make a conjecture about the relationship

Systems of Linear Equations

2012-03-16T15:06:00.000+08:00

Move the sliders a, b, c and d to explore the graphs of the linear functions y = ax + b and y = cx + d. 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 When are the graphs

Fibonacci Numbers and the Fibonacci Spiral

2012-03-13T08:42:00.000+08:00

Fibonacci Numbers and the Fibonacci Spiral - GeoGebra Dynamic Worksheet This is one applet for constructing Fibonacci Squares and the Fibonacci spiral. The Fibonacci spiral is made up of quarter-circular arcs whose radii are consecutive Fibonacci numbers. You can read detailed instructions under the applet, short instructions at the left side

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