Creating "Slope Function"

Worksheet 1: Shape of a Slope Function

Please find information on how to create the first dynamic worksheet Shape of a Slope Function in the section Creating Dynamic Worksheets with GeoGebra. Additionally, the interactive applet of this dynamic worksheet includes a reset button in the upper right corner. It is created by setting the GeoGebra Applet Option "Show icon to reset construction".

Worksheet 2: Equation of a Slope Function

Let's create the second dynamic worksheet called Equation of a Slope Function. Its interactive applet includes the graph of the slope function without showing its equation. Besides this, the dynamic figure is similar to the one in the previous worksheet which allows us to use the corresponding construction file as a basis for our modifications.

1. Open the file "ShapeSlopeFunction_worksheet.ggb" in GeoGebra.
2. Type Derivative[f] into the input field and hit the Enter-key.
3. Right click (Mac OS: ctrl-click) the equation of the derivative f ' in the algebra window and check "Auxiliary object".
4. In the menu click on "View" and uncheck "Auxiliary objects". In this way, you can display the derivative f ' of the quadratic function f without showing its equation in the algebra window.
5. Tip: You can change the properties of the derivative to match the color of point M.
6. Export the construction as a dynamic worksheet called "EquationSlopeFunction.html". Change the title of the worksheet and include corresponding tasks. The interactive applet of this dynamic worksheet should provide a reset button and an input field for the students. To do this, you need to set the coresponding applet options.

Worksheet 3: Calculating Slope Functions

The third dynamic worksheet was Calculating Slope Functions. Again, you can use the dynamic construction prepared for the previous worksheet as a basis for modifications.

1. Open the file "EquationSlopeFunction_worksheet.ggb" with GeoGebra.
2. Delete point P by right clicking (Mac OS: ctrl-click) it and selecting "Delete". This action will also remove tangent t as well as point M from the construction since these objects are dependent on point P.
3. Change the values of the sliders to provide a new exercise for your students.
4. Export the construction as a dynamic worksheet called "CalculatingSlopeFunctions_worksheet.ggb". Change the title of the worksheet and add new tasks for your students that correspond with the new dynamic figure you just created. Like with the previous worksheet, you need to set applet options to include the reset button and show the input field at the bottom of the interactive applet.

Tip: To enhance this series of dynamic worksheets you could create a title page with an index and links to all dynamic worksheets (e.g. with a text editor or NVU). Additionally, you could insert hyperlinks on every dynamic worksheet to make it easier for your students to navigate between them.