Tasks Engage

This applet is designed to help students discover the key features of a parabola: y-intercept, slope, vertex, focus, and directrix. By making changes to the slope and y-intercept, they can see how the equation, focus and directrix change and their relationships. Then when given only the focus, vertex or directrix, they can create the equation of the parabola. It also includes the link for the Geogebra worksheet with the applet created.

This applet is designed to help you discover what happens to the sides, vertex points and area of triangles when the triangle is dilated, enlarged or reduced. The orange triangle is the original. Change its dimensions and then change the blue triangle according to a scale factor of 3,4,1/3, 1/2...

This applet is designed to help you discover relationships of angles created when a transversal line crosses parallel lines. The angle relationships include vertical, corresponding, alternate and linear pairs.

This applet was designed to help you discover the difference between the average rate of change and instantaneous rate of change for a projectile function. You need to know the velocity and the initial height. Move the points around and see how the rates change.

Students are more engaged in learning when they have tasks that lead them to discover the concept for themselves. Students don't often make connections while experimenting with pre-made applets. The instructions are step by step with pictures showing the process. A link for the applet is available also.

This applet is designed to help you discover the right triangle trig ratios. You will need to know the opposite, hypotenuse, and adjacent sides of the triangle with respect to a given angle. Keep B a 90 degree angle. Move the other points and pay attention to the AH,OH,OA, and sin(a),cos(a), tan(a). If you move the points so that B is not 90 degrees, what do you notice?

This applet is designed to help you discover the relationships between trig functions and complementary angles. You should know what complementary angles are and the six basic trig functions.

This applet is designed to help you discover the relationships in a geometric sequence and create functions to describe the sequence. From this function you can calculate any future term.

This applet will give you the ability to discover the average rate from two points on a parabola.

This applet will give you the ability to discover the relationships in arithmetic sequences and be able to create functions to represent them.

This applet will help you discover the key features of a quadratic equation and their relationships to the terms of the equation.

This lesson help contains instructions for students to create their own Geogebra applet. It also has the link for the Geogebra worksheet with the applet already created and ready for student use.