Compare the pink graph to the blue graph.
1) What happens to the pink graph when both a and b equal 1?
2) Make b equal to 1. What happens to the pink graph when a is greater than or less than 1?
3) Make a equal to 1. What happens to the pink graph when b is greater than or less than 1?
Applet 2: Area Under the Curve
Original Applet: Great Circles
1. What do you notice about the dark blue line on the circle compared to the red line?
2. Which lines allow you to cut the sphere directly in half?
3. How many great circles can you find using the applet?
Applets
Title
Description
An Applet that allows you to explore the surface of a mobius strip.
Applet that shows a transversal intersecting parallel lines and the angles when you move the transversal.
An applet that allows you to construct triangles with two circles that relate to Euclid’s Proposition 1.
An applet that allows you to construct straightedge and collapsible compasses in a Disk Model.
An applet that allows you to explore lines and points on a sphere.
Applet Collections
Title
Description
A collection of applets created using Geogebra to demonstrate mathematical concepts related to angles of triangles within circles and the nature of roots.
A collection of applets created using Geogebra to demonstrate mathematical concepts related to angles of triangles within circles and the nature of roots.
A collection of applets relating to multiple types of mathematical concepts in secondary education. This site includes several applets, for example: simulation tools, graphing, spreadsheets, and applets that allow you to manipulate shapes
A collection of applets focused towards elementary and middle school curriculums. Topics include arithmetic, geometry, trigonometry, algebra, and logarithms.
A collection of applets you can graph or manipulate relating to topics that include implicit functions, algebra, matrices, logarithms, trigonometry, complex numbers, vectors and many more. This site contains applets for various age groups.
Resources
Title
Description
YouTube video describing the difference between Euclidean and Non-Euclidean geometry. This video also explains Eulid’s 5 postulates
A podcast that digs deeper into examples of Euclidean and Non-Euclidean geometry and relates them to objects people know about in the real world.
An article that explains the proof of the Pythagorean Theorem using Euclidean geometry.
This video shows the application of Euclid’s propositions to prove Triangle Inequality.