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Coordinates and Graphing User Guide

If you want to change these you can enter the minimum and maximum values for the axes into the table on the grid setup panel. The x and y axes can be scaled separately. The step will indicate the number of increments that will be marked on each axis.

  gridsettings

At this stage you will want to consider the most appropriate numbers to use and whether you will be working in the first or all four quadrants.


For example, if you are going to be comparing gradients of straight lines, it may be best to choose equal axes so that the line y=x plots at 45° to the axes. If you are going to be exploring quadratic or cubic graphs, the scales may need to be different.

The default screen looks like this:
The coordinate grid lines and axes can be switched on and off as required from the grid settings pane.

 

 

 

 

 

 

  Coordinates and Graphing

Plotting coordinate points

Coordinates are plotted on the grid by a mouse click or by tapping on the interactive whiteboard in the appropriate quadrant.

Once a point has been plotted, it can be amended by changing its value in the table and selecting Update points from the Update Coordinates panel.


When a point is selected, its data row will be highlighted green.


Be aware that it is possible for a point to be amended and plotted off the screen! Take advantage of this feature by encouraging students to “troubleshoot” where the point has gone!

 

 

 
   drawline

To delete a point, hold the mouse over it until you see a hand symbol, then select the point, and click Delete point (button below grid).

Plotting functions

To switch to the function graphing menu, select the Graphing Pane.


Functions are entered as equations in the form y = f(x) followed by Draw Graph to display it.


You can include brackets and any of the supported operators, which can be viewed as a pop-up dialog.


Selecting the little x at the top right of the graphing pane will fill the table of values on the right hand side of the screen.


Equations can be switched on and off by ticking/un-ticking the box beside the appropriate equations

 
 drline
Using the still and moving digital image library

A unique feature of the Coordinates and Graphing tool is the library of still and moving digital images that can be used as a context for mathematical modeling.


To access the image libraries, select the Media Tab.

Working with still images

To load a still digital image, select load and a list of the available still images is displayed.  
  Load

   
  Select Image

When you select Load the image will appear in the graph window.  
   bridge

The image can be repositioned on the screen by selecting Move Media. A blue bar will appear at the top of the image which can be dragged.


With the image displayed on the screen, both coordinates and functions can be superimposed as already described.


As different colours will be displayed more clearly over different images, choose contrasting colours for maximum effect.

Working with Video images

A video image is loaded in a similar way.

 
  Load

  Select Video Image

   basketball

The video controls allow the sequence to be played and stepped through, frame by frame.  
  Point Labels

 Image

The video image can be repositioned on the screen by selecting Move Media on the Media Pane. A blue bar will appear at the top of the image which can be dragged.


If the video is shown frame by frame, the position of the moving object, in this case the basketball, can be plotted over the top of the video image.

By selecting the Graphing tab, functions can be superimposed that represent the path of the moving object.

 
   Graph and Image

File Menu

The file menu contains the options to save and open previous work

 File Menu Option
Description
 
 Open
This option allows the user to select work that they have already saved out and continue to work on it.  
 Save These options allow the user to save a file out so that they can work on it later.  
 Close This displays a list of recently opened saved files.

 

 Notes This allows you to write notes about the activity you are undertaking, which can then be saved as part of Save process.  
 Print This allows you to print a screenshot of the current screen or if you are in the notes area it print off the notes.