Lines in a Cartesian Coordinate System
Section 10-5
| Activity Name | Activity Description |
|---|---|
| Simple Coordinates Game | The applet indicates a point in the first quadrant of the Cartesian Coordinate system. Students input coordinates to identify the selected point, or to plot points of their own choosing. |
| General Coordinates Game | The applet indicates a point in a general Cartesian Coordinate system. Students input coordinates to identify the selected point, or to plot points of their own choosing. |
| Simple Maze Game | Students input positive ordered pairs of Cartesian coordinates in order to safely direct a 'robot' through a maze of 'mines' in the first quadrant of the coordinate plane. |
| Maze Game | Students input positive ordered pairs of Cartesian coordinates in order to safely direct a 'robot' through a maze of 'mines' on the coordinate plane. |
| Function Machine | Students enter an input value (x) to the applet and use the corresponding output value ( y = f[x] ) to determine the form of simple algebraic functions. |
| Linear Function Machine | Students enter an input value (x) to the applet and use the corresponding output value ( y = f[x] ) to determine the slope and intercept of linear functions. |
| Simple Plot | Students input a list of ordered pairs of numbers, which are plotted by the applet either as scatter or connected plots. |
| Graph Sketcher | Students create graphs of functions on the coordinate plane by entering formulas -- similar to a graphing calculator. |
| Graphit | Students graph functions and/or sets of ordered pairs on the same coordinate plane -- similar to a graphing calculator. |
| Sequencer | Students input parameters (starting number, multiplier, addend) to generate number patterns in arithmetic and geometric sequences. The applet plots the sequence as a connected set of points on the coordinate plane. |
| Slope Slider | Students manipulate the slope and intercept values of a linear function of the form f(x)=mx+b as plotted in the cartesian coordinate system. |
| Vertical Line Test | Students learn about the vertical line test for functions by trying to connect points in the plane to build a function. |
| Possible or Not? | Drills students on whether a curve in the coordinate plane satisfies the properties of a function. |
| The 2 Variable Function Pump | Students are introduced to the idea of prisoners/escapees by entering two complex numbers (z and c) as ordered pairs of real numbers. The ordered pairs are graphed and iterated step by step both on the coordinate plane and in a table. They can repeat the activity to discover the pattern of which ordered pairs will be prisoners, which ones will be escapees and which will be neither. |
