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How to Use Cas

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Submitted By SovietUnion
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Appendix: TI-Nspire CAS
Operating system
Written for operating system OS3.

Keystroke actions and short cuts for the TI-Nspire CAS Clickpad (grey)
: removes menus and dialogue boxes + : undo last move + : redo last move Home page (icon display)

: displays icon page to select applications, mode, My Documents and start a new document

: move to next entry box (field) + : switch applications in split screen

: options for each application + : contextual menus (same as right mouse click)

: accesses secondary (blue) commands + : displays page sorter + : displays previous page + : displays next page

: backspace – deletes a character + : clear – clears an entry line : mouse pointer (cursor), selects items + : grab + + : degree sign (°) : fraction template

: shift key

: display lists of stored variables + : store command ( )

: completes commands and displays results

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

788

Cambridge University Press

Appendix: TI-Nspire CAS

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Keystroke actions and short cuts for the TI-Nspire CAS Touchpad (black)
: removes menus and dialogue boxes : undo last move + : redo last move + : move to next entry box (field) : switch applications + in split screen Nav Pad (touch pad) : accesses secondary (yellow) commands
+ : displays page sorter + : displays previous page + : displays next page

Home page (icon display) : displays icon page to select applications, mode, My Documents and start a new document. : options for each application. : contextual menus + (same as right mouse click)

: mouse pointer (cursor), selects items + : grab : backspace – deletes a character. : 2D templates
+

: fraction template

: shift key : completes commands and displays results. : display lists of stored variables : store command ( ) +

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

790

Essential Further Mathematics

Keystroke actions and short cuts for the TI-Nspire CAS CX
: removes menus and dialogue boxes : undo last move + : redo last move + : move to next entry box (field) : switch applications + in split screen Nav Pad (touch pad) : accesses secondary (yellow) commands
+ : displays page sorter + : displays previous page + : displays next page

Home page (icon display) : displays icon page to select applications, mode, My Documents and start a new document. : options for each application. : contextual menus + (same as right mouse click)

: mouse pointer (cursor), selects items + : grab : backspace – deletes a character. : 2D templates
+

: fraction template

: shift key : completes commands and displays results. : display lists of stored variables : store command ( ) +

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

Appendix: TI-Nspire CAS

791

Setting the Mode
For Further Mathematics it is convenient to set the calculation mode to Degree and Approximate (decimal) right from the start. The calculator will remain in this mode unless you change the settings again. 1 Press c (or w and c on the grey Clickpad) and select Settings>Settings>General as shown in step 2 below.
Hint: If the icon page does not display when you press c, then press first.

2 Use the key to move down to the box that displays Angle. Use to select Degree, . Continue using the key until you reach the Calculation Mode box. Use press to select Approximate, then press .

3 Press the key until you reach the . Make Default box and press again to accept the change Press to the settings.

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

792

Essential Further Mathematics

The home screen is divided into two main areas – Scratchpad and Documents.

Scratchpad
Note: The Scratchpad is only available on OS 2.0 or higher.

A: Calculate – this is a fully functional CAS calculation platform that allows for quick and easy access to the home screen and menus. It can be used for most calculations such as arithmetic, algebra, finance, trigonometry and matrices. Scatchpad is similar in functionality to the Documents: Calculator application, but saves opening up a new document every time you want to do a calculation.

Calculating
1 Press then c (or w and c on the grey Clickpad). also opens the Scratchpad. Pressing If you prefer to use the Documents platform for your calculations then press c >New Document>Add Calculator and follow the same steps.
Hint: You can undo your action using (or + ) +

Note: If using the TI-Nspire CAS Touchpad you can check the mode settings by moving the cursor onto the

icon displayed on the top of each screen. (General settings only.)

2 To calculate, simply enter the required . For example, if expression and press we wish to evaluate 5 + 3 × 6, we type in . the expression and press
Note: The symbol · (dot) is used on the screen to represent the multiplication sign.

3 Type in 56 ÷ 9 and press to obtain the result 6.22222. If the result is displayed as 56 , you are in Auto not Approximate mode. 9 Change the mode now (see above).

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

Appendix: TI-Nspire CAS

793

4 To copy and edit a previously evaluated line, keep pressing until the expression to be to copied is highlighted, then press paste it on a new line. You are now able to edit this expression as required.
Note: You can only edit on a new line; that is, if no answer is present on that line.

5 You can enter fractions using the fraction + to template if you prefer. Press paste the fraction template and enter the key to move between values. Use the to display the answer. boxes. Press

6 For problems that involve angles (e.g. evaluate sin(26◦ ) ) it is good practice to include the degree symbol even if the mode is set to degree (DEG) as recommended.
Note: if the calculator is accidentally left in radian (RAD) mode the degree symbol will override this and compute using degree values.

The degree symbol can be accessed using (or + on the Clickpad). Alternatively select from the Symbols palette ( + ).

Solving equations
Using the Solve command Solve 2y + 3 = 7 for y.

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

794

Essential Further Mathematics

1 Go to the Scratchpad: Calculate and press b >Algebra>Solve and complete as shown opposite. Keystrokes: 2 .
Hint: You can also type in solve( directly from the keypad but make sure you include the opening bracket.

Note that the Scratchpad: Calculate continues on from the previous work. Use the up arrow to scroll back through previously worked examples.

Clearing the history area
Once you have pressed the computation becomes part of the History area. To clear a line from the history area, press repeatedly until the expression (or press is highlighted and press on the Clickpad). To completely clear the History Area, press b >Actions>Clear History. Alternatively, press /+b to access the contextual menu. It is also useful to occasionally clear any previously stored values. It is important you do this before a test or examination. Clearing History does not clear stored variables. Pressing b >Actions>Clear a-z. . . will clear any stored values for single letter variables that have been used in the Scratchpad. Use b >Actions>Delete Variable if the variable name is more than one letter. For example, to delete the variable perimeter, then use DelVar perimeter.

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

Appendix: TI-Nspire CAS

795

Documents
This platform must be used to cover most parts of the Core section, particularly statistical plotting and spreadsheet applications. Also many of the finance applications from the Business-related mathematics module such as depreciation and sections of the Number patterns and applications module will be covered using this platform. All of the examples described in the Scratchpad section earlier can also be done using the Documents platform if preferred.

Starting a new document
1 To start a new document, press c (or press c on the Clickpad) and select New Doc (or + to start a new document). use the keyboard shortcut . 2 If prompted to save an existing document move the cursor to No and press It is possible to switch between the Scratchpad and the Documents platforms by pressing . This might be useful to do a quick trial, or check, a calculation or graph in the c or Scratchpad whilst working in the Documents platform. Select Current Document on the Home page to return to the current document.

How to construct parallel boxplots
Construct parallel boxplots to display the pulse rates of 23 adult females and 23 adult males. Pulse rate (beats per minute) Females 65 73 74 81 59 64 76 83 95 70 73 79 64 77 80 82 77 87 66 89 68 78 74 Males 80 73 73 78 75 65 69 70 70 78 58 77 64 76 67 69 72 71 68 72 67 77 73

Steps 1 Start a new document:

+

.

2 Select Add Lists & Spreadsheet. Enter the data into lists called females and males as shown.

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

796

Essential Further Mathematics

3 Statistical graphing is done through the Data & Statistics application. + and select Add Data & Press Statistics. and press (or press c and arrow to )
Note: A random display of dots will appear – this is to indicate list data is available for plotting. It is not a statistical plot.

a Press to show the list of variables. Select the variable, to paste females. Press the variable to the x-axis. A dot plot is displayed by default, as shown.

b To add another variable to the x-axis, press b >Plot Properties>Add X Variable, then ·. Select the variable males. Parallel dot plots are displayed by default.

c To change the plots to box plots press b >Plot Type>Box Plot, then ·.
Note: To change the colour of the plots, move the cursor on the plot and press /+b>Color>Fill Color.

Your screen should now look like that shown opposite.

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

Appendix: TI-Nspire CAS

797

4 Data analysis Use b >Analyze>Graph Trace and use the cursor arrows to navigate through the key points. Starting at the far left of the plots, we see that, for females, the: • minimum value is 59: MinX = 59 • first quartile is 68: Q1 = 68 • median is 76: Median = 76 • third quartile is 81: Q3 = 81 • maximum value is 95: MaxX = 95 and for males, the: • minimum value is 58: MinX = 58 • first quartile is 68: Q1 = 68 • median is 72: Median = 72 • third quartile is 76: Q3 = 76 • maximum value is 80: MaxX = 80

ISBN: 9781107655904 © Peter Jones, Michael Evans, Kay Lipson 2012 Photocopying is restricted under law and this material must not be transferred to another party

Cambridge University Press

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