Math247 wiki / GeoGebra

User interacts with construction and notes that the triangle "appears" to be a right triangle. Then, using only the fact that the lower angles of an isosceles triangle are equal, the user "proves" that the angle is in fact 90°. Finally, user constructs the same interactivity.

Materials include handout for student and teacher page (in pdf and doc format), ggb files for offline use and/or interactive page for online use.

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Date: 18 January 2008 - Physics with GeoGebra

Center of Mass (Centroids) - Triangles
6 Interactivities for Learning about Centroids of Triangles

What's a median of a triangle?
What's special about medians of triangles?
Exploring Centroids
Interact with Ceva's Theorem
Six triangles with equal area that don't look alike at all!
2/3 and 1/3 - how is that possible?

Date: 10 January 2007 - Algebra with GeoGebra

Learning Slopes - reworked and expanded

Use GeoGebra to test your skills with finding slopes and linear equations.

Standalone Zip with instructions and all 5 Activities

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Date: 6 January 2008 - K-7 Measurement and Geometry with GeoGebra

Activity 2 - Measuring and Drawing Random Angles

Each level allows student to generate random angles, measure or draw angle
and check answer ...

Standalone Zip with instructions and all 12 Measuring & Drawing Activities

Meta Data for Activity

Date: 21 November 2007 - Vectors and Matrices with GeoGebra

A new section!

Date: 17 November 2007 - Learn and Use GeoGebra

Boat Landing Problem 1 - Using GeoGebra to Simulate Real Problems

An interesting problem made accessible for 8th-10th graders using GeoGebra.

Try the simulator first!
View the animated demo of simulator - loads quick!
GGB file for lesson: ggb starter file for building simulator
Script for Lesson 10 (pdf file) - written directions to the mathcast
Complete Demo Mathcast Lesson with Math and GeoGebra
More about this problem - Good Questions, Higher Level Resources, Other Simulators, ...

Problem setting: A man with a boat at point S at sea wants to get to point Q inland. Point S is distance d1 from the closest point P on the shore, point Q is distance d2 from the closest point T on the shore and point P and T are at a distance of d.

Question: If the man rows with a speed of vr and walks with a speed of vw at what point R should he beach the boat in order to get from point S to point Q in the least possible time?

Date: 29 October 2007 - Calculus with GeoGebra

Boat-Landing Problem

This cool problem can be explored in 8-10th grade (see above) and then solved mathematically in calculus!

Date: 29 April 2007 - Physics with GeoGebra

Activity 3 - Firing the Cannon - Tilting Cannon

Do Part 1: Set the Parameters and Fire the Cannon

A bit more fun for the user: Learning in this activity: User can set the angle and watch the cannon tilt, the height and the initial velocity and then fire the cannon, follow the trajectory of the cannon ball and have it explode (and see the equations and the data).

--- Developers: This is an animated GeoGebra Activity with appearing and dissapearing objects and a rotating object - see GeoGebra Starters.

Date: 19 April 2007 - Activities with GeoGebra

Activity 4 - Measuring Length:
Many times the young ones don't understand how to measure with a ruler! Use these activities to help them see and do!

Guided Activity: Ladybug Walks the Width - Learning to Measure
- a set of 6 guided interactive activities to understanding measuring length - for 2nd - 3rd grader
- Try it! - Demo Screencast - Download zip (includes practice)

Practice Activity: Ladybug Walks the Width - Practice NEW!
- practice activity for testing understanding of length - for 2nd - 3rd grader
- Try it! - Demo Screencast - Download zip

Simple & Small: Interactive Length Measurement Activity for 2nd - 5th Graders!
- Try it!

Date: 16 April 2007 - Activities with GeoGebra

Activity 3 - Perimeters and Areas of Rectangles or standalone download (zip 1MB)

Simple & Small: Interactive Activity for 3-5th Graders!

Date: 8 April 2007 - Algebra with GeoGebra

Learning and fun with Quadratics*

GeoGebra: Exploring quadratics and parabolas.

*IMPORTANT: To properly view these files, you need to download and install these TeX-fonts-25.zip to Windows.

To download and use, you will need jsMath and this js file.

Date: 28 March 2007 - Learn and Use GeoGebra

Lesson 3 - Sliders, Properties, Text

Try the result first!
Mathcast with Lesson 3 - watch and do
Script for Lesson 3 (pdf) - written directions to the mathcast NEW!
GeoGebra file - sample ggb file

Date: 28 March 2007 - Physics with GeoGebra

Activity 1a - Firing the Cannon - Exploding Cannonball

Do Part 1: Set the Parameters and Fire the Cannon

A bit more fun for the user: Learning in this activity: User can set the angle, the height and the initial velocity and then fire the cannon and watch the trajectory of the cannon ball and have it explode (and see the equations and the data).

--- Developers: This is an animated GeoGebra Activity with appearing and dissapearing objects so the GeoGebra file is harder to follow than Activity 1 (and still under construction!).

Date: 27 March 2007 - Learn and Use GeoGebra

Lesson 4 - Inputs and Disappearing Objects

Try the result first!
Mathcast with Lesson 4 - watch and do
Script for Lesson 4 (pdf) - written directions to the mathcast NEW!
GeoGebra file - sample ggb file

Date: 25 March 2007 - Physics with GeoGebra

Activity 1 - Firing the Cannon

Do Part 1: Set the Parameters and Fire the Cannon

Learning in this activity: User can set the angle, the height and the initial velocity and then fire the cannon and watch the trajectory of the cannon ball (and see the equations).

--- This is an animated GeoGebra Activity!
(still under construction - the ball journeys to the center of the earth ... - but a bit of fun!)

Date: 21 March 2007 - Geometry with GeoGebra

Activity 4 - Constructing Parallelograms

Do Part 1: Construct a Parallelogram given 2 Sides and the Angle Between
- Part 1: Short version (for the easily bored student) + pdf handout (with details)NEW!
Do Part 2: Calculate the Area of a Parallelogram Constructed from 2 Sides and the Angle Between
Do Part 3: Construct a (slightly unstable) Parallelogram given 2 Sides and the HeightNEW!
Do Part 4: Construct a (Stable) Parallelogram given 2 Sides and the HeightNEW!
Mathcast with Activity 4 - watch and do

Date: 10 March 2007 - GeoGebra Starters

JavaScript GeoGebra Functions
- Javascript functions for interaction between the html with the ggb file.
- Javascript functions for generating random values for slope, angles, etc.