Analytic geometry 1

The applets are started by clicking the red buttons.

The slope of a straight line is a dynamical diagram that illustrates the slope as a measure of the steepness. The goal is to get a deeper understanding of the rule "Go one unit to the right, and then read off the slope vertically". It is also suitable as a repetition before introducing the derivative (see the applet On the definition of the derivative). The applet is started from the red button in its own window.

Spatial coordinates are visualized in a dynamical 3D diagram. You may look at objects like points, straight lines and planes from different angles. The goal is to establish a connection between spatial imagination and algebraic issues (reading off coordinate values, qualtitative description of the objects). The applet also serves as introduction into a sequence of further dynamical 3D diagrams with similar functionality. It is started from the red button in its own window.

In the applet Straight lines in 3-space the user shall work out parameter representations of five straight lines, given in a dynamical 3D diagram. No numerical information is provided, hence all ingredients necessary to determine the position of the lines must be found out by the user. The applet may thus serve as a test whether the significance of the parameter representation of straight lines has been understood. It may also support the ability to deal with spatial relations in a creative way. It is started from the red button in its own window.

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