SECTION 4
Contents
1. Fy El ra Graph screen Select line or point to start graphing A Figure 96 2 dimensional Graphing Tool opening screen Graphing Tool Page 4 3 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices DES e Close Exit button em Select mode Create point S Create line e Create Absolute Value Create Linear Inequality Lem Create Parabola em Create Radical e Create Hyperbola 9 Grid On Off sjen Trace On Off Le Axes On Off EK mg Snap to grid Demm Clear screen D A e Te HEERSER Selected Item Properties Select a Graph Item to view its properties e Graph items Selected item properties Figure 97 2 dimensional Graphing Tool palette Note The Graphing Tool launches in 2 dimensional mode by default Window display The following are the items displayed on the window File menu This contains the list of options including New Open Save Save As Print Quit Edit menu Select All Select None Group Selected Objects Page4 4 Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Graphing Tool Ungroup Selected Objects New Point New Line New Absolute Value New Half Plane New Parabola New Radical New Hyperbola Hide Show Grid Dimension 1D Number Line e 2D Plane Delete Properties Gra2. any position on the chosen graph item 4 Click and hold the mouse button and drag the item to a new desired position on the graph grid 5 Release the mouse button The new position definition is reflected in the graph Items panel and the selected items properties panel Use the following procedure to delete a graph item 1 Open any graph file 2 Click on the item of your choice on the graph screen or click on the definition of the item in the graph items panel 3 Click Edit gt Delete This allows a user to view the grid lines on the graph screen The feature may be Selected De selected Use the following procedure to select de select the graph grid 1 Open any 2 dimensional graph file 2 Click the grid on off icon to view or clear the graph grid Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices TRACE ON OFF Select the trace option De select the trace option AXES ON AXES OFF SNAP TO GRID Graphing Tool This allows a user to view or trace the coordinates of any graph item on the graphing screen The trace on off may be Selected Deselected Use the following procedure to select the tracing option 1 Open any 2 dimensional graph file 2 Click the graph item of your choice on the graph screen 3 Click the trace icon 4 Move the pointer anywhere on the graph grid This will show the coordinates at any point of the chosen graph item as
3. illustrated in Figure 111 Figure 111 Trace option Use the following facility to de select the tracing facility 1 Open any 2 dimensional graph file 2 Click the trace on off icon to view or clear this feature Use the following procedure to select deselect the axes option 1 Open any 2 dimensional graph file 2 Click on the Axes on Axes off icon on the graph screen Use the following procedure to use the snap to grid option 1 Open any 2 dimensional graph file 2 Click on a the snap to grid icon on the graph screen Page 4 25 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices GROUP UNGROUP SELECTED OBJECTS Group selected objects Note Ungroup selected objects CLEAR SCREEN Page 4 26 The group ungroup objects option allows a user to link several selected items Group selected objects Ungroup selected objects Use the following procedure to group selected objects 1 Open a graph screen 2 Click File gt Select All OR Press and hold the Shift key and click on each required item on the graph screen If select all has been selected all the graph items definitions will be boxed in the graph items panel 3 Click Edit Group Selected Objects Use the following procedure to ungroup the selected objects 1 Open any graph file 2 Ifthe Group option has been selected click Edit gt Select None 3 Click Edit gt Ungroup Selected Objects Use th
4. mouse pointer on the appropriate coordinate Click the mouse button OR Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices HALF PLANE COMPOUND INEQUALITY PARABOLA Graphing Tool Type in the values in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items properties panel and press the lt Return gt or Enter key Use one of the following procedures to construct a half plane 1 Open a 2 dimensional graph screen 2 Click the half plane icon on the main menu OR Click Edit New half plane Place the mouse pointer on the appropriate coordinate Click the mouse button Move the pointer to the appropriate point on the screen oa P Oo Click the mouse button OR Type in the values in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items properties panel and press the lt Return gt or Enter key Use the following procedure to set a compound inequality 1 Open a 1 dimensional graph screen 2 Click the compound inequality icon on the screen OR Click Edit New compound inequality 3 Place and click the pointer on the graph line 4 Click the pointer again on any chosen point along the line OR Type in the values in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items prope
5. of the screen If you attempt to exit the Graphing Tool after creating or editing a file without first saving the file the following message appears Exit Graphing Tool Do you want to save your changes Click the Save button to save the changes This opens the Output Flle window see Save a graph file on Section 4 1 2 4 P age 26 Click the Quit button to exit the Graphing Tool without saving the changes Click the Cancel button to return to the Graphing Tool screen Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices 4 1 2 Working with graphs Working with graphs allows a user to Create a new graph file Use Graphing Tool items Save a graph file Open an existing graph file Print a graph file Edit a graph file Delete a graph file 4 1 2 1 Create a new graph file New graph files may be constructed by using a Point Line Absolute value Half plane Compound inequality Parabola Radical Hyperbola POINT Points may be entered on a 1 dimensional Use one of the following procedures to construct a point Graph 1 dimensional graph 2 dimensional graph 1 Open a 1 dimensional graph screen 2 Click the create point icon OR Click Edit New point 3 Place the mouse pointer at the appropriate point on the line 4 Click the mouse button Graphing Tool OR Type in the coordinate in the appropriate field and or use the arrow in the field and sele
6. the origin You can change the value of a If a 0 the hyperbola degenerates to y 2 0 yz 1 x This template represents a hyperbola that remains whose distance from 0 is constant You can change the sign of the numerator to reposition the graph into opposite quadrants The square root function templates available are e y aJjt x b C e y aftx C e Ka ax cy ek X Page4 17 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Page4 18 Note Figure 108 Square root function templates y aft x b tC This template is a general equation for the square root function You can change the values of a b and c and the sign before the binomial expression If a 0 the function degenerates to y c y altx C This template keeps the initial point of the graph along the y axis You can change the values of a and c and the sign of the variable x If a 0 the function degenerates to y c y aJtx This template keeps the initial point of the graph at the origin You can change the value of the parameter a and the sign of the variable x If a 0 the function degenerates to y 0 y LJ This is the simplest template of the square root function You can change the sign of the radical or change the sign of the variable x 4 1 1 3 Exit the Graphing Tool Use the following procedure to exit the Graphing Tool Click File gt Quit OR Click the X button in the top right hand corner
7. Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices SECTION 4 GRAPHING TOOL Graphing Tool Page 4 1 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices 4 1 Overview The Graphing Tool where available is an open ended environment in which you can create one dimensional and two dimensional graphs In one dimensional mode you can graph simple and compound inequalities in one variable In two dimensional mode you can graph a variety of relations and functions In this section you will find descriptions of each of the two graphing modes and how to use their various icons and buttons to create and control the graphing window A user may Launch the Graphing Tool Create a new graph Access templates Exitthe Graphing Tool Page4 2 Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices 4 1 1 Launching the Graphing Tool The Graphing Tool may be launched in 2 dimensional mode 1 dimensional mode 2 DIMENSIONAL Use the following procedure to launch the Graphing Tool in 2 dimensional MODE mode 1 Within any tutorial or workout screen click the Tool button 2 Clickthe Graphing Tool button or double click the Graphing Tool icon on the desktop This will launch the default Graphing Tool as illustrated in Figure 96 Title bar em File menu e rie E fe Edit menu N
8. alues in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items properties panel and press the Return or Enter key Any item entered on a graph grid in 1 dimensional or 2 dimensional mode is color coded to match the display in the graph items panel 4 1 2 2 Graph tools Graphing Tool items include View graph item definition Rotate a graph item Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices VIEWING GRAPH ITEM DEFINITION View definition Change coordinates view Graphing Tool Translate a graph item Delete a graph item Grid on Grid off Trace on Trace off Axes on Axes off Snap to grid Group ungroup selected objects Clear screen A user may View definition Change coordinate view Use the following procedure to view graph item definition 1 Open any graph file 2 Click on the item of your choice on the graph screen or click on the definition in the graph items panel This will highlight the chosen item show the coordinates in the selected items properties panel and box the values in the graph items panel Use the following procedure to change the view of a graph item 1 Open any graph file 2 Click on the item of your choice on the graph screen 3 Double click the selected item on the graph items panel This will open the object properties dialog as illustrated
9. ates of a point that lies on the line along with the slope of the line are displayed in the selected items properties box Slope m This template displays the equation of a non vertical line and its slope Only the parameter m can be changed If the line becomes vertical the slope is reported as Undefined y intercept This template displays the equation of a line in slope intercept form and the value of its y intercept Only the value of the y intercept can be changed The create a point template available is x y Object Properties Equation Template Ic y Figure 104 Point templates x y This template displays points plotted on the rectangular coordinate plane The coordinates of the point are displayed as an ordered pair in the graph Items box and the x and y values are individually identified in the Selected item Properties box The linear Inequality template available is e y lt mx b y mx b The format used to display a Linear Inequality is of the form y mx b In the Selected item Properties box you can change the parameters m and b of the boundary line and the inequality sign that determines the corresponding half plane Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Create an Absolute Value Function Create a new Parabola Graphing Tool The absolute value function templates available are e y 2m abs x b c e y tabs
10. can be changed If the variable y is changed to x the equation of the line becomes x b Slope only This template displays only the slope of a non vertical line The parameter m can be changed If the line becomes vertical the slope is reported as Undefined Two master points This template description refers to the two points that determine a line It displays the coordinates of the two points on the line the slope m of the line as the ratio between rise and run and the calculation of the slope using the coordinates None of these parameters can be changed However manipulating the line in the plane updates the slope and manipulating either or both points updates the given coordinates Two slave points This template description is similar to the description for Two master points except the display in the Selected items Properties box does not show the calculation of the rise and run None of these parameters can be changed but manipulating the line and points in the plane update them accordingly X and Y intercepts This template description displays only the x and y intercepts of a line The values of each intercept can be changed Graphing Tool Page 4 13 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Create a point Create a linear inequality Page4 14 Point and Slope This template displays the equation of a line in y y m x x form Values for the coordin
11. click the Tool button 2 Click the Graphing Tool icon or double click the Graphing Tool icon on the desktop This will launch the default graph screen 3 Click Edit gt Dimension gt 1D Number line The 1 dimensional Graphing Tool is launched Close Exit button Om Select mode Create new point e Create Compound Inequality Clear screen Figure 98 1 dimensional Graphing Tool palette Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Window display Note Graphing Tool The following are the items displayed on the window File menu See file menu for 2 dimensional graph Edit menu Select All Select None Group Selected Objects Ungroup Selected Objects New Point New Compound Inequality Dimension 1D Number Line e 2D Plane Delete Properties Close exit button Exits the Graphing Tool When clicked the following message appears Exit Graphing Tool Do you want to save your changes Tool palette Select mode If clicked when creating a graph cancels the selected operation Create new point Creates a new point or a simple inequality Compound inequality Creates a new compound inequality Clear screen Deletes all objects in the viewing window of the Graphing Tool Selected Item Properties Shows details of the selected item properties such as coordinates or an equation Graph i
12. ct from the pull up menu of the selected items properties panel and press the Return or Enter key Page 4 19 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices 2 dimensional LINE ABSOLUTE VALUE Page 4 20 Use one of the following procedures to construct a point 1 2 Open a 2 dimensional graph screen Click the create new point icon on the main menu OR Click Edit New point 3 Place the mouse pointer on the appropriate coordinates 4 Click the mouse button OR Type in the coordinates in the appropriate fields of the selected items properties panel and press the Return or Enter key Use one of the following procedures to construct a line 1 2 o0 P Oo Open a 2 dimensional graph screen Click the create line icon on the main menu OR Click Edit New line Place the mouse pointer on the appropriate coordinates Click and hold the mouse button Drag the mouse to the required second coordinate Click the mouse button OR Type in the coordinates in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items properties panel and press the Return or Enter key Use one of the following procedures to construct an absolute value 1 2 3 4 Open a 2 dimensional graph screen Click the absolute value icon on the main menu OR Click Edit New absolute value Place the
13. e following procedure to clear the screen 1 Open any graph file 2 Click the clear screen icon on the graph screen This will clear all graph items 4 1 2 3 Edit a graph file Use the following procedure to edit a graph file 1 Open any existing graph file 2 Editthe items on the graph as outlined in Graphing Tools 3 Click File gt Save to save file under the existing file name OR Click File gt Save as to save the edited file under a different file name This will open the save as dialog 4 1 2 4 Save a graph file A graph file may be saved by Storing a newly constructed graph file Storing a constructed or edited graph file Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices STORING A NEWLY CONSTRUCTED GRAPH FILE STORING A CONSTRUCTED OR EDITED GRAPH FILE Graphing Tool Use the following procedure to save a newly constructed graph file 1 Construct a new graph file as required 2 Click File gt Save As This will open the output file dialog as illustrated in Figure 112 Output File Save in Windows DI c Ex J Favorites LLL NetHood LLL Fonts CJ Occache LJ Help LJ Personal Cnt C PhoteCD _l Java Pit CJ Media CJ Pistran gt Save as type A Files Cancel Figure 112 Output file dialog 3 Change the destination folder if necessary by clicking on the arrow in the save in field and choose a different folder
14. er The fields are defaulted to 10 and 10 Horizontal graduation This is the incremental scale along a number line To enter numbers in the field highlight the number in the Horizontal Graduation field and type in a number The field is defaulted to 1 Use the following procedure to construct a 2 dimensional rectangular coordinate plane graph 1 Launch the Graphing Tool in 2 dimensional mode 2 Click Edit gt Properties This will open the 2 dimensional properties dialog as illustrated in Figure 100 r Options r Graph Number line setup Snapto Grig Decimal Precision DE Isometric Range Constrain angle o x Horizontal range an fio m Default Templates Vertical range Em In create a new line set e Grid Size Graduation X int Y int E intercept E intercept EE Gm nn hae Vertical Er be EINE EIER Show Intersection Figure 100 2 dimensional properties dialog 3 Enter or adjust details in the fields if necessary See dialog display for details on the fields 4 Click the OK button or press the Return or Enter key The properties dialog contains four panels Options Snap to Grid Check this item to plot points in the plane at the intersection of the grid lines The default setting is Off Decimal Precision This allows the user to specify the degree of accuracy for values displayed in the graph items box and selected items properties box To adjust this numb
15. er highlight the defaulted number 2 in the field Page 4 9 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Page 4 10 type in a new number from 0 to 4 or click the arrow in the field and choose from the pull up menu Constrain angle This allows the user to specify the degree of rotation for a given graphing window as it applies to lines and inequalities This is defaulted to 0 degrees To change the setting click the arrow in the field and choose from the pull up menu Default templates This item allows the user to choose from a range of templates To change the default template click on the arrow in the default templates field and choose from the pull up menu Click the Set button For examples of templates see Choose a template on Section 4 1 1 2 Page 11 View X intercept Checking this item will display the value of the horizontal intercept as a decimal to the nearest hundredth when a line is selected Y intercept Checking this item will display the value of the vertical intercept as a decimal to the nearest hundredth when a line is selected Show intersection Checking this item displays the coordinates of a common point of intersection if one exists within the range of the graphing window between two or more lines Checking this will also open the intersection panel Note Not seeing a point of intersection does not mean that is does not exist it may be outside the viewing w
16. from the pull up menu 4 Type in a new file name in the file name field or accept the default file name given 5 Change the file type if necessary by clicking on the arrow in the save as type field and choose a file type from the pull up menu 6 Click the Save button or press the Return or Enter key Use the following procedure to save a constructed or edited graph file 1 Open the file of your choice from the file list 2 Adjust or edit the items as required 3 Click File gt Save This will save the file without renaming it 4 1 2 5 Open an existing graph file Use the following procedure to open an existing graph file 1 Open the Graphing Tool in 1 dimensional or 2 dimensional mode For details of this procedure see Launching the Graphing Tool on Section 4 1 1 Page 3 Page4 27 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Page 4 28 2 Click File gt Open This will open the file menu as illustrated in Figure 113 Input File Look in C3 Windows D et zi EH C Favorites C NetHood CO Fonts c ccache C Help Ld Personal CA Inf CA PhotoCD CO Java Pit C Media LJ Pistran gt Fienme Files of type J All Files b Cancel Figure 113 Input file dialog 3 Click on the arrow in the look in field and choose a folder from the pull up menu if files have been saved to a different folder 4 Click on the file name of your choice from the list
17. in Figure 109 Object Properties x Equation template Cancel Figure 109 Object properties dialog 4 Click the arrow in the equation template field and choose from the pull up menu 5 Click the OK button or press the Return or Enter key The chosen equation template will change the view of the selected item in the graph items panel and also the display in the selected items properties panel Page 4 23 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices ROTATE A GRAPH ITEM TRANSLATE A GRAPH ITEM DELETE A GRAPH ITEM GRAPH GRID ON OFF Select de select graph grid Page 4 24 Use the following procedure to rotate a graph item 1 Open any 2 dimensional graph file 2 Click on the item of your choice on the graph screen The definition of the chosen item will be highlighted as illustrated in Figure 110 Figure 110 Graph item coordinate highlight 3 Place the mouse pointer on the highlighted coordinate point on the graph screen 3 Click and hold the pointer 4 Rotate item to required position 5 Release the pointer The new position definition is displayed in the selected items properties panel and on the graph items panel Use the following procedure to translate a graph item 1 Open any 2 dimensional graph file 2 Click on a graph item of your choice on the graph screen This will highlight the selected graph item 3 Place the pointer on
18. in the pane 5 Click the Open button or highlight the file name and press the Return or lt Enter gt key or double click the file name of your choice This will load the saved file information on the open graph screen 4 1 2 6 Delete a graph file Use the following procedure to delete a graph file 1 Open the Graphing Tool in 1 dimensional or 2 dimensional mode as outlined 2 Click on the arrow in the look in field and choose a folder from the pull up menu if files have been saved to a different folder 3 Click on the file name of your choice from the list 4 Click the file name of your choice click Edit gt Delete The following message appears Are you sure you want to send xxxxx to the Recycle Bin xxxx is the name of the chosen file Click the Yes button or press the Returns or lt Enter gt key to confirm the deletion Click the No button to cancel the delete command Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices 4 1 2 7 Print a graph file Use the following procedure to print a graph file 1 Open the required graph for printing 2 Click File gt Print OR Press lt Alt f p gt This will open the Print options dialog as illustrated in Figure 114 Print RE m Printer Name HP LaserJet 1 Window Properties Status Ready Type HP LaserJet PMP Where Ntserver Shplaserl Comment Print to file Print range Copies Al
19. indow If this is true reset the scale along one or both axes Intersection All objects Checking this item will display the common intersection point of two or more lines automatically as they are added to the graph window Selected objects Checking this item will display the common intersection point of two or more lines when the lines have been selected Graph Number line setup Isometric range Checking this item shows one to one correspondence where the horizontal and vertical unit distances are equal If Isometric range is selected when setting up a coordinate plane the vertical range will require only the minimum value for the vertical axis Horizontal range This sets the maximum and minimum values for the horizontal axis To adjust the number highlight the number in the Horizontal range field and type in a number of your choice in one or both fields The default values are 10 to 10 Vertical range This sets the maximum and minimum values for the vertical axis in the viewing window To adjust the numbers highlight the numbers in the Horizontal range field and type in a number of your choice in one or both fields Horizontal Grid Size This defines the increment value where vertical grid lines will be drawn To enter numbers highlight the number in the Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices CHOOSING A TEMPLATE Graphing Tool horizontal grid field a
20. l Number of copies 1 C Pages from 1 to L m r ca C Selection gu H JN En Cancel Figure 114 Print options dialog Note The print dialog shown is a sample dialog only The printer driver software on the system will determine the layout of the print dialog displayed on your screen Please check with the system administrator for details on the displayed print dialog and the print procedure on your system Graphing Tool Page 4 29
21. nd enter a number between 01 and 10000 The field is defaulted to 1 Horizontal Graduation This defines the increment value to apply to the scale along the horizontal axis To enter numbers in the field highlight the number in the Horizontal Graduation field and type in a number The field is defaulted to 1 Vertical Grid Size This defines the increment values where horizontal grid lines will be drawn To enter numbers in the field highlight the number in the Vertical Grid field and type in a number The field is defaulted to 1 Vertical Graduation This defines the increment value to apply to the scale along the vertical axis To enter numbers in the field highlight the number in the Vertical Graduation field and type in a number The field is defaulted to f 4 1 1 2 Choose a template Templates are used to display the information in a prescribed format Templates may be used as an alternative to the available icons on the screen Templates may be used prior to graphing or after graphing Use the following procedure to choose a template 1 Open the 2 dimensional graph screen 2 Click Edit gt Properties This will open the 2 dimensional properties dialog as illustrated in Figure 100 3 Click the arrow in the default templates field and choose a template from the pull up menu as illustrated in Figure 101 create a new line Set en Create a new point Create a new linear inequality Create a new absolute Crea
22. ph Screen The part of the screen on which the user works Title bar Contains Graphing Tool title Close exit button Exits the Graphing Tool When clicked the following message appears Exit Graphing Tool Do you want to save your changes Tool palette Select mode If clicked while creating a graph cancels the selected operation Create new point Creates a new point Create new line Creates a new line Create a new Absolute Value Creates a new absolute value function Create a new Linear Inequality Creates a new linear inequality Create a new Parabola Creates a new parabola Create a new Radical Creates a new radical Create a new Hyperbola Creates a new hyperbola Grid on off Toggles on off the grid view Trace on off Toggles on off the tracing feature Axes on off Toggles on off the axes Snap to grid Toggles on off If on snaps points to the closest intersection of two grid lines Page4 5 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices 1 DIMENSIONAL MODE Page4 6 Clear screen Deletes all objects in the viewing window of the Graphing Tool Selected item properties Shows details of the selected item properties such as coordinates or an equation Graph items Shows a list of the objects displayed on the current graph screen Use the following procedure to launch the Graphing Tool in 1 dimensional mode 1 Within any tutorial or workout screen
23. rties panel and press the lt Return gt or Enter key Use the following procedure to set a parabola 1 Open a 2 dimensional graph screen 2 Click the parabola icon on the screen OR Click Edit New Parabola 3 Place and click the pointer on the graph line Page 4 21 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices RADICAL HYPERBOLA Page4 22 Note 4 Click the pointer again on any chosen point along the line OR Type in the values in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items properties panel and press the Return or Enter key Use the following procedure to set a radical 1 2 Open a 2 dimensional graph screen Click the radical icon on the screen OR Click Edit New Radical 3 Place and click the pointer on the graph line 4 Click the pointer again on any chosen point along the line OR Type in the values in the appropriate fields and or use the arrow in the field and select from the pull up menu of the selected items properties panel and press the Return or Enter key Use the following procedure to set a hyperbola 1 2 Open a 2 dimensional graph screen Click the hyperbola icon on the screen OR Click Edit New Hyperbola 3 Place and click the pointer on the graph line 4 Click the pointer again on any chosen point along the line OR Type in the v
24. sary See dialog display for details of the fields 4 Click the OK button or press the lt Return gt or lt Enter gt key The properties dialog contains four panels Only the following choices are appropriate for constructing a 1 dimensional graph Options Snap to Grid Check this item to plot points in the plane at the intersection of the grid lines The default setting is Off Decimal Precision This allows the user to specify the degree of accuracy for values displayed in the graph items and selected items properties box To adjust this number highlight the default 2 in the field type in a new number from O to 4 or click the arrow in the field and choose from the pull up menu Constrain angle This value controls the number of degrees in a rotation of a graph The default setting is 0 To change the constrain angle click the arrow in the field and highlight an angle from the pull up menu Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices CONSTRUCTING A 2 DIMENSIONAL RECTANGULAR COORDINATE PLANE GRAPH Dialog display Graphing Tool Graph number line setup Horizontal range This sets the maximum and minimum values for the axis To adjust the number highlight the number in the Horizontal range field and type in a number of choice in one or both fields Horizontal grid To enter numbers highlight the number in the Horizontal Grid field and type in a numb
25. te a new halfplane Create a new parabola jCreate a new hyperbola Create a new root Figure 101 Default templates pull up 4 Click the Set button This will open the object properties dialog as illustrated in Figure 102 Page 4 11 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Object Properties Equation Template ly mx h OK CANCEL Figure 102 Object properties dialog 5 Accept the equation as given or click the arrow in the Equation template field and click on a choice from the pull up menu 6 Click the OK button or press the lt Return gt or lt Enter gt key AVAILABLE The templates available are TEMPLATES Create a line Create a point Create a linear inequality Create an absolute value Create a half plane Create a parabola Create a hyperbola Create a root Group selected items Create a Line The create a line templates available are s Y mx b Slope only Two master points Two slave points Xand Y intercepts Point and slope Slope m Y intercept Page 4 12 Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Figure 103 Line templates Y mx b This template represents the slope intercept form of a line The parameters that can be modified are m and b If the line is manipulated so that it is vertical the equation changes to x k where k is the parameter that
26. tems Shows a list of the objects displayed on the current graph screen To revert to 2 dimensional mode when in 1 dimensional mode Click Edit gt Dimension gt 2D Plane The following message will be displayed Do you want to save your changes Click the Yes button to save the changes This opens the Output file screen See saving a graph file for further details Click the No button to exit the Graphing Tool screen without saving the changes Click the Cancel button to return to the Graphing Tool screen Page4 7 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices CONSTRUCTING A 1 DIMENSIONAL NUMBER LINE GRAPH Dialog display Page4 8 4 1 1 1 Create a new graph The Graphing Tool allows a user to Construct a 1 dimensional number line graph Construct a 2 dimensional rectangular coordinate plane graph Use the following procedure to construct a 1 dimensional number line graph 1 Launch the Graphing Tool in 1 dimensional mode 2 Click Edit gt Properties This will open the 1 dimensional properties dialog as illustrated in Figure 99 r Options r Graph Number line setup Snap to Grig Decimal Precision P Horizontal range 40 10 Constrain angle IL r Default Templates Grid Size Graduation Horizontal 1 1 E Shor Intersection Figure 99 1 dimensional properties dialog 3 Enter or adjust details in the fields if neces
27. x c yza x bf c This template represents the analytical form of a parabolic function whose vertex is b c You can change any of the parameters a b and or c Again if a 0 the graph degenerates into the line y c y ax C This template creates a parabola whose axis of symmetry is always the y axis You can change the parameters a and c If a 0 the graph degenerates to the line y c y ax This template creates a parabola that is always centered at the origin You can change the value of a If a 0 the graph degenerates to y 0 y x This template creates a static parabola whose axis of symmetry is the y axis and whose vertex is at the origin This graph cannot be transformed in the plane Createa The hyperbola templates available are Hyperbola y a x b c e y 1 x b c e y ax e 1 x Page 4 16 Destination MATH Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Create a Square Root Function Graphing Tool x Object Properties TEN a Equation Template ag pc S Y yzt1 x b c zal B vest ix RE Figure 107 Hyperbola templates yz a x b c This is the general template for a hyperbolic function You can change the values of a b and c If a 0 then the graph degenerates to y c 1 x b c This template restricts a to 1 or 1 You can change the values of b and c y a x This template represents a hyperbola that is symmetric with respect to
28. x e y m abs x e y tabs x b c e y m abs x b Equation Template 2m abs x b c Figure 105 Absolute value function templates y m abs x b c This template displays the most general form of an absolute value function Values of m b and c can be changed If m 0 the function degenerates to y c y abs x This template centers the vertex of the function at the origin You can change the sign to reflect the graph either above or below the x axis y m abs x This option centers the vertex of the function at the origin You can change the parameter m to dilate the graph and or reflect it over the x axis If m 0 the function degenerates to y 0 y abs x b c This template lets you change the sign of the slope from 1 to 1 and or change the values of the parameters b and c yzm abs x b This template keeps the vertex of the graph along the x axis at x b You can change the parameters m and b If m 0 the function degenerates to y 0 The new parabola templates available are e y ax bx cC e y a x bf c e y a c y ax ey 2x Page 4 15 Destination MATH PC User Manual Version 3 1 1999 2000 Riverdeep Inc See Notices Figure 106 Parabola templates y ax bx c This template displays the standard form of the equation of a parabola You can change the values of a b and cto transform the function in the plane Note Of a 0 the graph degenerates to the line y b
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