Texas Instruments Calculator TINSPIRECX User Manual

First Steps with TI-Nspire  
First Steps  
with  
Technology for teaching and  
learning mathematics  
Seven Introductory Tutorials for the  
Handheld  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Contents  
TI-Nspire Keypad Layout.................................................................................................. Page 5  
Tutorial 1.......................................................................................................................... Page 6  
TI-Nspire Documents: basic ideas  
Memory  
Baꢂery Life  
Documents, problems, pages, applicaꢀons and home screen  
Use of / key and keyboard shortcuts  
Home Screen  
Scratchpad  
Document Browser to navigate around documents and folders  
Page Sorter to navigate inside documents  
Different menus in different contexts  
The Document menu  
Tutorial 2........................................................................................................................ Page 15  
The Calculator applicaꢁon: arithmeꢁc and algebra  
Basic calculaꢀons  
Standard layout of expressions  
Recalling previous expressions and results  
Approximate (decimals) and exact (fracꢀons) evaluaꢀons  
Templates and menus  
Document seꢁngs  
Defining and using variables  
Working with Staꢀsꢀcal Distribuꢀons  
Tutorial 3........................................................................................................................ Page 22  
The Notes applicaꢁon  
Purposes of the applicaꢀon  
Page layouts with split screens  
Templates for the Notes menu  
Using Interacꢀve Notes  
Creaꢀng Quesꢀons using the Teacher Soſtware  
Tutorial 4........................................................................................................................ Page 27  
Graphing  
The work area, entry line, funcꢀon history  
Entering, ediꢀng, deleꢀng and hiding funcꢀons  
Grabbing and dragging labels  
Seꢁng the axes  
Tracing along graphs  
Marking and labelling points and coordinates  
Using the Analyse Graph Tools  
Transforming graphs and their funcꢀons manually  
Using Sliders  
Sequence Ploꢁng  
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First Steps with TI-Nspire  
Tutorial 5........................................................................................................................ Page 35  
Geometry  
The Plane Geometry and Graphing views  
Lines, segments and rays  
Construcꢀon of parallel lines  
Drawing and labelling points on objects  
Construcꢀon of shapes  
Selecꢀng and grabbing screen objects  
Making measurements and storing as variables  
Aꢂributes which change the appearance and lock screen objects  
Tutorial 6........................................................................................................................ Page 41  
Lists and Spreadsheet  
Entering and ediꢀng data and formulas  
Lists and funcꢀons  
Resizing cells  
Ambiguous variable/cell names  
Capturing data from the Graphs & Geometry applicaꢀon  
Funcꢀon tables  
Frequency Chart  
Tutorial 7........................................................................................................................ Page 46  
One- and two-variable staꢁsꢁcs  
Creaꢀng one- and two-variable staꢀsꢀcal plots in the Data & Staꢀsꢀcs applicaꢀon  
Using boxplots to compare data sets  
Using categorical data for pie charts  
Manually fiꢁng straight lines to data  
Automaꢀcally fiꢁng linear-regression lines to data  
Appendix........................................................................................................................ Page 53  
Mulꢀple Representaꢀons – an example  
Page 4  
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First Steps with TI-Nspire  
TI-Nspire CX Keypad Layout  
Start by spending a few seconds looking at the layout of the keypad.  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Tutorial 1  
TI-Nspire Documents  
This first tutorial introduces some of the key features of TI-Nspire™ learning technology, in parꢀcular the  
structure of TI-Nspire documents, with different applicaꢀons operaꢀng on different pages. The various menus  
are introduced, as well as creaꢀng and navigaꢀng around documents. The tutorial assumes that you are using  
the TI-Nspire handheld device and the tutorial begins by drawing a comparison between this and other types  
of technology.  
Is it a calculator? Is it a computer? ….It’s a handheld device!  
Pick up the TI-Nspire handheld device and, if you are used to using a calculator, parꢀcularly  
a Texas Instruments TI-83 or TI-84 graphics calculator, you are likely to feel a certain reassuring familiarity:  
there’s a screen and a keyboard laid out in a fairly familiar way. As with many calculators the on/off switch is in  
the top right corner. So press c to switch on.  
Nothing on the screen?  
See Geꢂng Started with the TI-Nspire Handheld, Recharging the Handheld  
Please don’t worry about what’s on the screen for the moment, but think about how to switch it off. The c  
key has “off” wriꢂen in light blue above it so that’s the one to use aſter pressing the blue key marked /.  
But just a minute, it was a key marked 2nd that you used on the calculators, and the change to the use of a ctrl  
key is quite significant. The designers at TI have moved to making this device much more like a computer and  
it has a ctrl key, /, and also a shiſt key g. Many of the main keys on the handheld have second funcꢀons  
wriꢂen in blue above the key and these are acꢀvated using the ctrl key. Noꢀce for example q, p and h. The  
ctrl key can be used in conjuncꢀon with the alphabeꢀc keys to create keyboard shortcuts just as you are used to  
doing on a computer. For example, you can copy and paste using /C and /V. There’s also that most useful  
keyboard shortcut for undoing a previous acꢀon, /Z, which can also be acꢀvated by pressing /d(ª).  
(See Geꢁng Started guide, Using Keyboard Shortcuts for a full list).  
Memory  
Just like a computer, documents can be stored on the TI-Nspire CX handheld – The TI-Nspire™ CX handheld  
comes equipped with 192 MB of memory Of the total memory, 128 MB is dedicated to document storage. As  
documents are created and stored they take up space on the handheld’s memory so you may find that every  
now and again you need to free space on memory aſter long-term use. If there isn’t enough memory on the  
handheld, you can do one of the following:  
Back up documents and folders to a computer or another TI-Nspire CX  
Delete documents and folders you no longer use  
Reset the memory, which deletes all files and folders on the handheld  
Page 6  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Baꢀery Life  
The TI-Nspire™ CX handheld comes with a rechargeable baꢂery, which should be charged for at least six hours  
before first use. The built-in rechargeable baꢂery does not need to be removed from the handheld in order to  
recharge it. The handheld will sꢀll work and can be used while it is charging.  
With use of 2 hours per day at the default brightness level the baꢂery should last for up to 10 days.  
The handheld comes with the following cables:  
Standard mini-A to mini-B USB cable for transferring files between handhelds  
Standard A to mini-B USB cable for transferring files to and from a computer and for charging the baꢂery via  
the USB port  
Charging the handheld  
To charge the baꢂery in the TI-Nspire™CX handheld:  
Connect the handheld to a computer using a standard A to mini-B USB cable. If the driver is not found when  
the handheld is connected to the computer download the soſtware that includes a driver from  
hꢀp://educaꢁon.ꢁ.com/soſtware.  
OR  
Connect to a wall outlet using a TI wall adapter (sold separately).  
OR  
Place the handheld or mulꢀple handhelds in a TI-Nspire™ CX Docking Staꢀon.  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
The Home Screen  
When you switched on a calculator you expected to see  
what was called the Home Screen and you’d be able to  
start carrying out calculaꢀons right away. But the TI-Nspire  
handheld is different in this respect too. Press c, the  
home buꢂon, a black key at the top right of the keypad. You  
should see a screen similar to this. Navigate to the various  
icons on the Home Screen using the large square Touchpad  
on the keypad. This behaves as both a touchpad (like using a  
laptop), and as a navigaꢀonal device as you can press on the  
up, down, leſt and right arrows to move the selector around.  
To click or select something you press the x square symbol in  
the middle of the touchpad, or press the enter key. However  
don’t select anything else yet!  
Consider whether the TI-Nspire’s home screen is more reminiscent of a calculator or of a computer. When a  
computer wakes up you first see the desktop and in many ways this TI-Nspire Home Screen is similar. With a  
computer you have to choose an applicaꢀon to use -- a word-processor, spreadsheet or whatever. You then  
must open a document within which you will be able to write text, do calculaꢀons, manipulate images etc.  
Computer:  
Desktop Choose Applicaꢀon Open Document  
In many ways working with TI-Nspire is similar. You always have to work within a document and you can use  
different applicaꢀons to calculate, draw graphs, , work with geometry, manipulate lists and spreadsheets, work  
with data and staꢀsꢀcs, add notes and perform data logging.  
The TI-Nspire applicaꢀons are:  
• Calculator  
• Graphs  
• Geometry  
• Lists & Spreadsheet  
• Data & Staꢁsꢁcs  
• Notes  
• Vernier DataQuest™  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
What is quite different from the computer is that within one document you can have mulꢀple pages or  
problems that can make use of the different applicaꢀons. The spreadsheet on one page of a document can  
interact seamlessly with calculaꢀons done on a calculator page and graphs drawn on another. You can also  
have more than one different representaꢀon on one page.  
This use of mulꢀple representaꢀons is one of the many things that make the TI-Nspire such a powerful tool.  
So with TI-Nspire you first open a document, or start a new one, and then choose an applicaꢀon.  
TI-Nspire:  
Home screen New document Choose applicaꢀon  
TIp: If you would like to return to the document you are working on without inserꢀng  
a new page, from the Home screen select opꢀon 4: Current.  
You can do this by pressing 4 on the keypad.  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Scratchpad  
Because there are some occasions when you really just  
want to carry out a quick calculaꢀon or draw a quick graph  
the TI-Nspire includes a feature called the Scratchpad.  
The scratchpad is designed for those casual throw-away  
calculaꢀons that need to be done from ꢀme to ꢀme, but  
are not worth keeping in a full document. To access the  
Scratchpad press ».  
This opens a calculator page for performing quick calculaꢀons.  
Pressing » again swaps between the calculator and a graph  
scratchpad page. To close the Scratchpad simply press d.  
Documents, problems and pages  
In order to see what documents are pre-loaded on your  
handheld you need to use opꢀon 2 on the Home screen:  
My Documents…  
Either use the touchpad to move the selector down to  
the 2: My Docs… opꢀon then press x to select it.  
Or use the touchpad to move the cursor over opꢀon 2 and  
x Or just press 2 key to select opꢀon the 2nd opꢀon.  
You should see a screen called the Document Browser and it  
will be something like the one shown here. Documents are  
organized into folders as they would be on a computer. A new  
TI-Nspire handheld should have a folder called Examples:  
Tip: You can use either x or · as  
alternaꢀve key presses  
Move the cursor to the folder enꢀtled Examples.  
Then press x or · or ¢ on the touchpad to open the folder.  
Inside the Examples Folder on your handheld you will  
probably find a document enꢀtled ’Geꢁng Started 3_0.  
Use ¤ to locate and · to open the document.  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
If the handheld has been used previously you will see a dialog  
box asking you if you want to save the document that is  
currently open. Unless you want to save your previous work  
press e or ¢ to move the highlight to No. To confirm this  
choice press ·.  
e is oſten used to move to and  
highlight different parts of the screen  
Navigaꢁng Documents  
When the document opens you may see a screen similar  
to the one shown on the leſt. For the moment, please do  
not follow the instrucꢀons on the screen just yet! Conꢀnue  
working through this tutorial, which will introduce you to  
many of the key features of the TI-Nspire document model.  
Among these key features are useful and easy ways to  
navigate through documents. For example, pressing / ¢ will  
take you to the next page in a document. Similarly, pressing  
returns you to the previous page. Pressing will  
take you to the Page Sorter which enables you to move  
quickly and easily through the pages of a document.  
Noꢀce the informaꢀon typically provided on the Page Sorter:  
Name of Document  
e problem  
Number or Name of the Problem  
A TI-Nspire document can consist of mulꢀple problems and each problem can consist of mulꢀple pages.  
For example, the document shown here consists of at least two problems, with 5 and 9 pages respecꢀvely.  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Scroll downwards with the Touchpad and you will see all the problems in the document. If you move the  
highlight onto Problem 2, say, and press ¡ the pages of that problem will close up. Pressing · or takes  
you back to single page view on the page currently selected.  
Each page of a document contains one (or more) of the TI-Nspire applicaꢀons.  
As a reminder, these are the same applicaꢀons that can be accessed from the Home screen, i.e.:  
• Calculator  
• Graphs  
• Geometry  
• Lists & Spreadsheet  
• Data & Staꢁsꢁcs  
• Notes  
• Vernier DataQuest™  
The use of each of the applicaꢀons which you might want to  
use for data logging is covered in the tutorials that follow. Any  
page can be divided into as many as four work areas, allowing  
up to four different applicaꢀons to be used per page. To do this,  
See ‘Spliꢁng the Screen’ in Tutorial 3, page 23.  
Shown here is a page that has been split into two with the  
Lists & Spreadsheet applicaꢀon on the leſt, and the Notes  
applicaꢀon beside it.  
If the ‘Geꢁng Started 3_0’ document is present on your handheld, work through it now as far  
as page 2.5. This will allow you to revise what has been covered so far in this tutorial  
Page 12  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Contextual Menus  
Return to the Home screen, and select 2: My Docs… to access  
the document browser. Noꢀce that within the document  
browser new folders may be created or folders renamed.  
Items that are grey, rather than black in a menu cannot be  
chosen in the current environment. For example, on the  
screen on the leſt, opꢀon 3: Save As… is unavailable.  
Pressing d will always close  
down a menu or dialog box.  
To save a document under a new name press ~.  
This opens a menu providing access to document management features. By pressing 1 and then 5 the  
document can be saved under another filename.  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Then open a document in the browser and pressb again. It  
is important to realise that b will always provide access to  
the features of the current environment. For example, within  
the Notes applicaꢀon, this menu offers only the available  
opꢀons for that applicaꢀon (as shown to the right).  
There are a number of tools that are available for managing  
documents when you choose the use the Document menu  
by pressing the ~buꢂon. Several opꢀons are marked by  
the symbol ¢ and pressing ¢ on the Touchpad opens their  
submenus.  
Within any applicaꢀon, this Document menu retains the same features but any opꢀons that are currently  
unavailable are greyed out.  
The next tutorial describes creaꢀng a new document and using a first TI-Nspire applicaꢀon.  
Check list of some key points in Tutorial 1:  
Understanding, the terms document, problem, page, applicaꢀon, and home screen  
Use of the / key and keyboard shortcuts  
The Home Screen  
Scratchpad  
Memory  
Baꢂery Life  
The Document Browser to navigate around documents and folders  
The Page Sorter to navigate inside documents  
The use of e and d  
Why b produces different menus in different contexts  
The Document menu  
Page 14  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
Tutorial 2  
The Calculator Applicaꢁon  
At the heart of TI-Nspire is the Calculator applicaꢀon, the workspace for numeric and algebra operaꢀons.  
This tutorial introduces some of the key features of the applicaꢀon, starꢀng with a new blank document.  
This document will be saved, used again and added to in subsequent tutorials  
Basic operaꢁons  
First create a new blank document by pressing c and  
choosing opꢀon 1: New Doc from the Home Screen.  
To open a page which uses the calculator applicaꢀon:  
press 1 or · or x.  
Try keying in and entering expressions using the four basic arithmeꢀc operaꢀons, square roots, negaꢀves etc.  
Look carefully at how the expressions as well as the results appear on the screen, in order to understand the  
convenꢀons the handheld uses with its default seꢁngs.  
NB mulꢀplicaꢀon  
and division.  
What do you expect the result  
of this calculaꢀon to be?  
Noꢀce that in many cases the layout of the expression changes when · is pressed—in parꢀcular watch how  
the mulꢀplicaꢀon and division operaꢀons are handled.  
Try typing a lengthy expression and, before pressing ·, see the effect of using . and then /..  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
A History Lesson  
You will have noꢀced that, as new expressions are entered, previous ones scroll off the top of the screen. The  
TI-Nspire handheld will remember a history of up to 99 expressions and these can be recalled using the up key  
on the Touchpad. Press and hold £ and see the way the highlight flicks back through previous expressions and  
results. Stop at some point in the history and press ·. You should see either the previous expression or the  
result copied to the entry line ready to be used as all or part of a new expression.  
Noꢀce that, aſter an expression has been evaluated, simply  
pressing · again repeats the previous entry. What would  
you expect to see if you repeatedly pressed · on this  
screen? Try it by pressing  
1·  
lv1¢+1  
···…  
Noꢀce how entering an operaꢀon at the beginning of an  
expression (the power operaꢀon in this example) causes the  
automaꢀc entry of Ans, standing for the previous answer.  
If you ever need to clear the history there is an opꢀon in the Acꢀons submenu: press b15. This is also a  
way of producing an uncluꢂered screen for making screenshots such as the one above.  
Approximate Calculaꢁons  
If you repeat the key sequence above but replace the first ·  
with you get the rather different results shown here.  
Try it and conꢀnue pressing · unꢀl you get an (apparently)  
unchanging approximaꢀon for the Golden Raꢀo.  
The default mode for calculaꢀons is to give exact results  
(using fracꢀons) rather than approximate results (using  
decimals). It is possible to alter this using the system seꢁngs  
as you will see later in this tutorial.  
Another way of choosing a decimal result is to enter a decimal  
in the expression that you type, e.g. try entering 1 / 7 and then 1.0 / 7.  
Page 16  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
Templates  
Many of the handheld’s keys provide templates to enable you to enter a range of mathemaꢀcal expressions. For  
example, in this tutorial you have used the keys /q for square roots and l for powers. In both cases a small  
box appears in the expression inviꢀng you to enter values. Some care is necessary when entering more complex  
expressions using such templates.  
For example, try entering √3+√5. In order to move out of the box aſter entering 3 you need to press either e  
or ¢. This explains the use of ¢ in the key sequence in part b above.  
More complex templates are available from the Maths  
Templates Menu that can be opened by pressing t.  
To make a selecꢀon from this menu you need to move the  
highlight with the Touchpad and press ·.  
A menu of maths templates  
Those opꢀons which have a bold T superimposed are  
not available on the numeric version of TI-Nspire as they  
require a Computer Algebra System (which cannot be  
used in most exams).  
Try using a template to produce the sums of the first 20  
square numbers. You will need to use an alphabeꢀc key  
such as N to enter the variable name. Press e or use  
the Touchpad to move from one small box to the next.  
Now produce the sums of the first 20 cubic numbers. The  
easiest key sequence to use is (probably!):  
££·¡¡.3·  
Other useful templates are the definite integral template,  
and the differenꢀal at a point template.  
These can also be accessed from the Calculus Menu b4.  
Integral of x2+2x-3  
between 1 and 5  
Derivaꢀve of  
x2+2x-3 at x=5  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
Geꢂng Set  
The mode seꢁngs for a document can be changed using the  
document seꢁngs dialog box: press  
c521 or ~721 or  
Click on the  
icon then press 21  
With dialog boxes it is important to remember  
that you need to press e to move through  
the various opꢀons.  
Document seꢀngs dialog box  
Noꢀce that here the first box is outlined bold, showing that  
Display Digits is selected. Press ¤ to see the range of opꢀons  
for fixed or floaꢀng decimal places. Change to the seꢁng  
Fix 2, by highlighꢀng it and then moving to the next box  
using e.  
In the second box, change the angle seꢁng to Degree and in  
the fiſth box choose Approximate.  
Then press · again to apply the new seꢁngs to your  
document.  
You can check the angle seꢁng by hovering the cursor over  
the  
symbol.  
Do some calculaꢀons to see the effect of these changes  
before returning to the default seꢁngs, Float 6, Radian  
and Auto.  
In Approximate mode  
all results are shown as  
decimals rather than  
fracꢀon  
The effect of changed seꢀngs  
Page 18  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
Some Algebra  
The calculator applicaꢀon allows you to define variables as single numbers, funcꢀons, lists, matrices and even  
strings.  
There are three equivalent ways to store a variable.  
You can use  
/h  
(store),  
or  
/t(Ï)  
or  
Define  
Define can be typed leꢂer by leꢂer, followed by a space  
or alternaꢀvely it can be entered from the Catalogue:  
press kD to find it.  
Noꢀce also you can:  
display mulꢀple values in a list using curly brackets /);  
use a colon for mulꢀple statements on the entry line º.  
3 ways to define variables  
In the last entry the value of r was changed to 5 but  
noꢀce the difference between a and c(r): whereas  
c is a defined funcꢀon of r, a had been given a  
parꢀcular value.  
What you type is not necessarily what  
you get: above πr2 and 2πr were a  
ctually typed as.  
PIrRq  
2PIrR  
This screen illustrates the use of funcꢀon notaꢀon on the  
calculator screen. Noꢀce that h(g(x)) can be evaluated  
numerically but the TI-Nspire CAS would be able to  
evaluate it algebraically.  
You will see in Tutorial 4 that funcꢀons defined like this in the  
Calculator applicaꢀon can then be used in the Graphs and  
Geometry applicaꢀon. So please enter these definiꢀons of  
g(x) and h(x) on your handheld now.  
Use of funcꢁon notaꢁon  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
The Calculator Menu  
Press b and look at the extensive system of menus and  
submenus available in the Calculator applicaꢀon. If you used  
the TI-83 or TI-84 graphical calculators you will be familiar  
with many of these expressions.  
More details can be found in the Geꢂng Started Guide.  
This screen shows a simulaꢀon of 100 throws of two dice and  
uses commands from the Probability and Staꢀsꢀcs  
sub-menus.  
To enter randInt you can either press  
b542  
Lists of random integers  
to navigate through the menus or you can spell it out, leꢂer  
by leꢂer.  
You will find the mean command by pressing  
b633.  
Noꢀce that the expression d1+d2 produces a list of 100 sums of the corresponding  
values from d1 and d2 i.e. 100 totals when 2 dice are thrown  
Staꢁsꢁcal Distribuꢁon Tables  
A useful feature of the TI-Nspire is the ability to work  
with probability distribuꢀons such as the Binomial,  
Poisson and Normal distribuꢀons. These can be found  
by pressing b65.  
These provide wizards which enable you to calculate  
the probability for a given distribuꢀon instead of looking  
up the value in a table.  
Page 20  
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First Steps with TI-Nspire  
Tutorial 2: The Calculator Applicaꢁon  
Variables Linked to Documents  
Press h and you will see a floaꢀng menu showing all the  
variables that you have defined while using the current  
document.  
When you load a different document these definiꢀons  
will be replaced by those linked to that document. Make  
sure your list includes the variables g, h, d1 and d2 and  
then save the document, giving it the name FirstSteps.  
The Save As.. opꢀon is in the Documents menu so press  
~15, type the filename:  
gFIRSTgSTEPS  
List of defined variables  
and press ·.  
Check list of some key points in Tutorial 2:  
The layout of expressions oſten changes when they are evaluated  
Previous expressions and results can both be recalled for subsequent use  
Evaluaꢀon can be either approximate (decimals) or exact (fracꢀons)  
How to use templates and menus  
Changing from default document seꢁngs  
Using Staꢀsꢀcal Distribuꢀon funcꢀons  
Defining and using variables and funcꢀons  
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First Steps with TI-Nspire  
Tutorial 3: The Notes applicaꢁon  
Tutorial 3  
The Notes page  
This very short tutorial introduces this simple, innovaꢀve applicaꢀon and deals with the process of spliꢁng the  
screen.  
Why use Notes?  
TI-Nspire documents may be readily shared with others, so  
teachers can prepare and then distribute documents that are  
a type of electronic worksheet. The Notes applicaꢀon allows  
documents to include:  
text instrucꢀons for the user  
space for the user to document their own  
mathemaꢀcal acꢀviꢀes  
a means of teacher-student and student-student  
interacꢀon.  
Various text formaꢀng  
Instrucꢁons  
Recording results  
Making Notes  
Open a FirstSteps document that you created previously.  
Open a new page for notes in that document by pressing c and then selecꢀng  
.
Alternaꢀvely a Notes page can be added by pressing /~6 or by pressing (¿).  
Enter some text using the alphanumeric keys. For upper case leꢂers use the shiſt key, g.  
Page 22  
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First Steps with TI-Nspire  
Tutorial 3: The Notes applicaꢁon  
Press b to see the various opꢀons available when using the  
Notes applicaꢀon.  
Try to format some text.  
To select a block of text for formaꢁng hold down the shiſt key,  
g, while you move around the text using the Touchpad.  
Spliꢂng the Screen  
In any applicaꢀon you can split the screen into two or more  
The Format sub-menu  
parts using the page Layout opꢀon in the Document menu.  
Press ~52 and you should see the various standard  
opꢀons available. The icons on the leſt of the menu indicate  
the way the screen will be split.  
Choose any of the opꢀons to see your text appear on a split  
screen.  
Ways to split the screen  
Important: to move from one  
part of the screen to another  
you need to press: /e  
Add a Calculator applicaꢀon area to your page  
and experiment with using Notes and Calculator  
together.  
You must press / e and then b  
The opꢀon Custom Split enables you to change the width or height of secꢀons of the page. It can be used  
either when the page is first being split, or subsequently to edit an exisꢀng split page.  
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First Steps with TI-Nspire  
Tutorial 3: The Notes applicaꢁon  
More Opꢁons from the Notes Menu  
Mathemaꢀcal expressions can be entered (and evaluated)  
on a Notes page.  
In addiꢀon the menus in the Notes applicaꢀon provide:  
two templates for Q+A and Proofs  
teacher and reviewer comments  
small shapes such as ∆  
Have a look at the examples of their use shown here. If you  
want to explore them choose the relevant opꢀons aſter  
pressing b.  
An inserted comment  
Use of Q+A template  
Use of proof template and symbols  
Interacꢁve Notes  
A powerful feature of the Notes page is something called  
Interacꢀve Notes. These enable you to create dynamic  
calculaꢀons. Unlike the Calculator page, which when you  
carry out a calculaꢀon gives an answer which will not  
update, the MathsBox within the Notes page is dynamic.  
Add a new Notes page by pressing:  
/~6. For this simple example we will create a funcꢀon  
calculator.  
To do this simply add a MathsBox (b31 or /M) and  
enter the calculaꢀon exactly as you would have done on the  
Calculator page (i.e. the bold text in the image). Now try  
ediꢀng either the funcꢀon or the input value, and see how  
the output automaꢀcally updates.  
The MathsBox aꢂributes (b51)  
allows you to show just the input  
or output if preferred  
Page 24  
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First Steps with TI-Nspire  
Tutorial 3: The Notes applicaꢁon  
Asking Quesꢁons  
If you also have access to TI-Nspire Teacher Soſtware, then you also have the ability to insert quesꢀons in to  
your documents. To do this you use the Insert menu and choose Quesꢁon…  
There are a number of different  
quesꢀon types which can be used  
In this example we’ve chosen the Custom Choice quesꢀon type, this is a mulꢀple choice template.  
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First Steps with TI-Nspire  
Tutorial 3: The Notes applicaꢁon  
We then enter the quesꢀon in the top box and answers in the  
fields below. To add mathemaꢀcal content insert a Maths  
Box. To indicate the correct answer click on the Tick mark.  
When viewed on the handheld the quesꢀon this will look like  
this. If the correct answer has been set then the quesꢀon  
can be either self-marked by pressing b2, or marked by  
the teacher using TI Connect-to-Class or TI-Nspire Navigator  
Teacher soſtware.  
Check list of some key points in Tutorial 3:  
Some possible uses for the Notes applicaꢀon  
Creaꢀng and ediꢀng page layouts with split screens  
Moving from one part of a split screen to another  
Accessing templates from the Notes menu  
Using Maths Boxes in Interacꢀve Notes  
Creaꢀng quesꢀon using the TI-Nspire soſtware  
Page 26  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Tutorial 4  
Graphing  
The Graphs and Geometry applicaꢀons are probably the most visually exciꢀng of the TI-Nspire applicaꢀons.  
This tutorial introduces the Graphs applicaꢀon and then concentrates on its use for graphing and exploring  
funcꢀons. The applicaꢀon’s use for creaꢀng and exploring geometrical shapes is covered in Tutorial 5.  
Graphs & Geometry: Two Views  
Start by opening the document FirstSteps4 that you created in Tutorial 3. Press c then select  
new page with the Graphs applicaꢀon. You should see the Graphing View, with the coordinate axes defined by  
the default window seꢁngs and an entry line at the boꢂom of the screen.  
to create a  
A Graphing page can be turned into a Plane Geometry page by pressing b2 to open the View menu and 2  
to choose the Plane Geometry View. This view has no entry line or axes and is ideal for drawing geometrical  
shapes. Tutorial 5 will explore this aspect of the Graphs & Geometry applicaꢀon.  
Return to the View menu and noꢀce that several opꢀons are now grey, indicaꢀng that they are not available in  
this view. Choose b21 to return to the Graphing View.  
Graphing Funcꢁons  
Alongside f1(x)= enter 0.2x2–3  
(0^2Xq-3) to see the screen shown here.  
Noꢀce the label that appears alongside the funcꢀon’s graph  
and the way the entry line has now disappeared.  
In Tutorial 2 you defined the funcꢀon g(x):=x+4. Press e  
to return the entry line and alongside f2(x)= enter g(x)  
(G(X)) and draw the straight-line graph. Noꢀce that the  
The Graphing View  
entry line will again disappear.  
Pressing e once again will return the graph entry line, pressing e repeatedly and the highlight moves to  
different locaꢀons on the screen. Highlight the double arrow in the boꢂom right-hand corner and press ·.  
This enables you to see all the funcꢀons entered so far––the funcꢀon history. Press d and you move to the  
main work area with a cursor in the form of an arrow at the origin.  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Grab and Drag pracꢁce  
Use the Touchpad to move the arrow around the work area, it behaves exactly like a trackpad on a laptop, so  
you do not need to press down on the pad just let your finger lightly touch it.  
As you move the cursor over the objects in the work area, three things may happen:  
the cursor changes shape  
the underlying object flashes  
labels of the various objects appear, e.g. axes, graph etc.  
In some posiꢀons two or more screen objects overlap and  
you are prompted to press the e key to toggle through the  
labels of various overlapping objects. Move the cursor to the  
posiꢀon shown here.  
Make certain that the open-hand (÷) icon is showing over the  
highlighted label for f1(x) and grab the label by pressing and  
holding x or by pressing /x.  
The open-hand cursor  
Noꢀce that the fingers of the hand close up ({) indicaꢀng that  
you have successfully grabbed this label. Use the Touchpad  
to drag the closed-hand icon and the funcꢀon label to a  
new posiꢀon. Click again by pressing x or press d to stop  
dragging. Being able to grab and drag items is one of the most  
powerful features of the Graphs. However, some skill and  
paꢀence is oſten needed to grab exactly the right item and,  
without care, mistakes can easily be made.  
If you do end up moving the wrong item,  
remember that /Z or /d can be  
used to undo the last change. As with a  
computer / Y can be used to redo.  
Changing the Axes  
Get some more pracꢀce at grabbing objects as follows. Move  
to a ꢀck mark on the x-axis such as the one shown here  
represenꢀng x=6. Make certain that you can see the open-  
hand icon – if you see an upward poinꢀng index finger (ø) you  
are selecꢀng the axis itself, not just the ꢀck mark.  
Grab the ꢀck mark and move gently to the leſt or right  
watching the effect. Noꢀce that both the x- and y-axes are  
rescaled.  
Click again (x) or press d and /d to undo this and  
return to the default set of axis.  
Grabbed ꢁck mark on the axes  
Now grab the ꢀck mark again and this ꢀme hold down the  
shiſt key, g, while you move leſt or right. This ꢀme the  
x-axis is scaled but the y-axis is unchanged.  
Page 28  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
You have just used a direct method for changing the axes, but  
there are a number of other ways to do this. Press b4 and  
you will see this Window sub-menu. Opꢀon 1 allows you to  
enter numerical values to determine the extremes of the axes,  
while the Zoom opꢀons, as on the TI-83 and TI-84, provide  
automaꢀc rescaling.  
The Zoom seꢀngs  
It is worth menꢀoning one final very useful  
way of changing the posiꢀon of the axes,  
but without rescaling them. Move the arrow  
cursor to an empty part of the screen and  
grab the vacant space. An appropriate icon  
appears (ù) indicaꢀng that you are grabbing  
the whole working area. Now you can use the  
Touchpad to reposiꢀon the axes as you wish.  
The grabbed-sheet icon  
Reset the axes using the (default) Zoom-Standard  
opꢀon from the Window menu before conꢀnuing.  
Ediꢁng, Deleꢁng or Hiding a Funcꢁon  
Suppose you wish to make f2(x)=x+8. As well as changing g(x)  
in the Calculator applicaꢀon on page 1.1, you can make the  
change in two ways on this page.  
In the work area, move the pointer to the label,  
f2(x)=g(x) and, instead of grabbing it, double-click on  
the label and an editable box opens up. Change the  
definiꢀon and press · to update it.  
Press ee· to highlight the funcꢀon history area  
and scroll up to edit f2.  
Funcꢀons may be deleted in similar ways, by simply deleꢀng  
their definiꢀon and pressing ·.  
Changing f2 in the funcꢁon history  
To hide a funcꢀon’s graph click  
on the Hide/Show buꢂon ú  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Tracing Graphs  
Press b51 to choose the Graph Trace opꢀon.  
Noꢀce the Trace icon in the top leſt  
corner of the work area. This is typical of  
many of the opꢀons from the menus.  
Press ¡ and ¢ to trace along the graph and see the coordinates  
of current points in the lower right corner. For intricate  
funcꢀons progress can be slow along the curve but you  
can change the Trace Seꢁngs to increase the Trace Step:  
press b53 and try a step of 0.5 or 1. To start tracing at  
an integer value of x, in Graph Trace mode simply type the  
integer and press ·.  
The current value of the trace is  
displayed in the boꢂom corner  
Press £ or ¤ to move to the other graph. To trace through all  
the visible funcꢀons at once use Trace All b52. Noꢀce  
that significant points such as maxima, minima and zeros are  
automaꢀcally idenꢀfied.  
To stop tracing you need to press d. Check to see that the  
Trace icon is no longer showing in the top leſt corner.  
points and coordinates  
Here is the way to mark points of intersecꢀon of two lines.  
Press b73 to choose the Intersecꢀon Point(s) opꢀon.  
Noꢀce the icon has appeared in the top leſt corner.  
Move the cursor to the graph of f1(x). With the graph  
highlighted click x.  
Move to the graph of f2(x). With the graph highlighted  
click x.  
Noꢀce that the Intersecꢀon Points icon is sꢀll visible so you  
can go on to mark more intersecꢀons. For example you could  
try marking where the two graphs cross the y-axis.  
Points of intersecꢁon  
Now press d.  
Page 30  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Noꢀce that all the intersecꢀons are added at once and that  
their co-ordinates are automaꢀcally displayed.  
We will now use the Text tool: b16. Try labelling one  
of your fixed points by moving carefully to the point––make  
quite certain that only the point is highlighted and not one  
of the graphs or axes.  
Points, lines and shapes can be drawn and manipulated on  
the graphing work area and this will be explored in the next  
tutorial. However, one more thing to try now is puꢁng a grid  
on the work area. Press b26.  
Coordinates and labelled points  
It’s easy to change the number of decimal  
places displayed: move the cursor over a  
displayed value and press - or +.  
Analyse Graph Menu  
As well as tracing graphs and using the Points tool, important  
points on graphs can also be idenꢀfied by using the Analyse  
Graph tool. We will find the right-hand root of our quadraꢀc  
funcꢀon by pressing b61 to acꢀvate the zero tool. Then  
select the quadraꢀc graph by clicking on it with x, you will  
then be prompted to select a lower bound my moving the  
cursor somewhere to the leſt of the desired root and click  
(x) and then to the right of the root and cl
Lower Bound  
Upper Bound  
There are number of features that can be idenꢀfied using  
the Analyse Graph tool, spend some ꢀme exploring the other  
opꢀons available by pressing b6.  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Manually Moving Graphs  
You saw earlier that, when you change a funcꢀon’s equaꢀon the graph changes. An innovaꢀve feature of  
TI-Nspire is that you can also do the reverse, i.e. manually manipulate the graph and see the funcꢀon’s  
equaꢀon change. As the graph moves, all associated features such as points of intersecꢀon and their  
coordinates also update.  
First move the straight line graph, as follows.  
Check that no icons are sꢀll showing in the top leſt corner of  
the work area (press d if there is anything displayed) and  
Alternaꢁve icons  
then move the pointer to the graph of the funcꢀon f2(x)=x+2.  
The line should be highlighted and you will see one of the  
two icons shown here, depending on where exactly you  
are on the screen. Move along the line and you will  
discover the other icon.  
Near the middle of the graph the icon suggesꢀng translaꢀon  
appears, while the one suggesꢀng rotaꢀon appears towards  
the ends of the graph. Decide which you would like to use and  
grab the line by pressing and holding x.  
Use the Touchpad to move the graph around. Noꢀce the way  
that the funcꢀon’s equaꢀon updates too.  
Transformed graph and equaꢁon  
Press d and try the other transformaꢀon.  
Try manipulaꢀng a quadraꢀc graph, and explore the  
possible transformaꢀons available  
Many of the techniques that have been introduced in this tutorial, in parꢀcular fixing points, grabbing and  
labelling them, will be used again in Tutorial 5. In Tutorials 6 and 7 you will see how the Lists and Spreadsheets  
applicaꢀon allows tables of values to be formed from funcꢀons defined in the Graphs applicaꢀon.  
Using Sliders  
Sliders are a powerful way of controlling the value of  
constants in a graph or geometric construcꢀon. In this  
example we will use a slider to explore the transformaꢀon  
of a funcꢀon. To do this, start by creaꢀng a new Graphs  
page by pressing c then selecꢀng  
.
First enter the funcꢀon f3(x)=x2, then insert a slider by  
pressing b1A. v1 will be highlighted. Change it to d  
by pressing D· ·.  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Next add a second funcꢀon f4(x)=f3(x-d) by pressing  
eF3(X-D)·, this funcꢀon is a transformaꢀon of  
the original funcꢀon by d. Now grab the handle on the slider  
and move it leſt and right and observe the effect on the graph.  
Try changing the original funcꢀon, or moving the posiꢀon of d  
in f4 to explore other transformaꢀons.  
Sequence ploꢂng  
We normally think of sequences as being lists of numbers,  
but someꢀmes it is useful to look at them graphically. The  
TI-Nspire makes this easy with the aid of its sequence ploꢁng  
mode. To do this, create a new Graphs page by pressing c  
then selecꢀng  
.
Then press b351 to put the TI-Nspire in to sequence  
mode. Enter the nth term of the sequence as u1(n)=2n-1 and  
enter the Iniꢀal Terms as the first term in the sequence, 1,  
and press·.  
Adjust the window seꢁng by pressing b41 and change  
the x-axis to go from -2 to 21 and the y-axis to go from -2  
to 42. Now you can explore the sequence further by using  
Graph Trace b51 or by displaying the sequence as a table  
by pressing /T.  
You can also use the sequence ploꢂer to explore recursive  
sequences. For example you could instead define  
u1(n)=u1(n-1)+u1(n-2) and set the Iniꢁal Terms set to 1,1  
(1,1) which would give you a Fibonacci sequence.  
Finally save the document as FirstSteps5 so that you can  
refer to these graphs later.  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 4: Graphing  
Check list of some key points in Tutorial 4:  
Items visible in the graphing view: the work area, the entry line, the funcꢀon history,  
the warning icons in the top-leſt corner  
Grabbing and dragging labels  
Seꢁng the axes in three ways: by dragging, zooming and entering values  
Tracing along graphs  
Marking and labelling points and their coordinates  
Using the Analyse Graph menu  
Transforming graphs and their funcꢀons manually  
Using Sliders  
Page 34  
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First Steps with TI-Nspire  
Tutorial 1: TI-Nspire documents  
Tutorial 5  
Geometry  
This tutorial introduces interacꢀve geometry in TI-Nspire and builds upon the methods and features of  
the Graphs and Geometry applicaꢀons that were covered in Tutorial 4. You are led step by step through a  
geometrical construcꢀon which illustrates the simple concept that the areas of triangles with a fixed base and  
constant height are equal. As you work through the construcꢀon you will meet many of the features that make  
this one of the most powerful and aꢂracꢀve components of TI-Nspire.  
A View for plane Geometry  
If necessary open your FirstSteps5 document and use the  
c key then select  
to create a new Geometry page.  
Much like with a Graphing page it is possible to convert the  
Plane Geometry page in to a Graphing page by selecꢀng  
b21. However for now leave the page in plane  
Geometry View.  
Two parallel Lines  
We will start by drawing a line segment to represent the  
base of a triangle and labelling it BC: press b7 to see the  
opꢀons available for drawing Points & Lines. Segments have  
two disꢀnct end points, lines are (in theory) infinite, while  
rays have just one end. So choose opꢀon 5: Segment.  
Move the cursor to a suitable posiꢀon for point B. Then click  
(x) to fix the point and then gB to give it a label of B.  
Move the cursor to where you want the other end of the  
segment to be. Mark the point and label it C in the same way.  
The icon in the top leſt corner is sꢀll showing you that you  
could draw another segment if you wish. Press d to  
remove the icon and leave that mode of operaꢀon.  
Noꢀce that as usual the relevant icon  
appears in the top leſt corner of the screen.  
Drawing the base of the triangle  
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First Steps with TI-Nspire  
Tutorial 5: Geometry  
The next step is to draw a line parallel to BC. This is a  
construcꢀon so you need to press bA.  
Choose opꢀon 2: parallel.  
You must specify two things: the line to which it is to be  
parallel, and a point the line must pass though (although  
these can be chosen in either order). So move the cursor  
to the segment BC––you will see its label when you are in  
the right posiꢀon. Click (x) to select the segment, move  
away, dragging a doꢂed parallel line and when happy with  
its posiꢀon click again. Once again, don’t forget to press d,  
if you do not want to add another parallel line.  
Many opꢁons in the Construcꢁon menu  
What’s grabbable?  
At this point it is worth moving the cursor around the  
screen to see which objects can be grabbed and dragged.  
You should see the open hand cursor (÷) appear for point B,  
for point C, for the segment BC, and for the point fixing the  
parallel line. All of these are grabbable.  
However, the parallel line itself cannot be grabbed and  
dragged. It can however be selected for various purposes.  
For example, you could delete it by clicking (x) to select it  
and then pressing . to remove it.  
Selectable, but not grabbable!  
Construct the Triangle  
First, a point A is needed on the parallel line. Later you will be  
sliding this point along the line without moving the line itself,  
so the point that you have already which defines the line is  
not a good one to use. Therefore press b72 to select the  
opꢀon: point On. Move the cursor to a new posiꢀon on the  
line and then click (x) then press: gAd. The triangle  
itself can be constructed using the Shapes menu (b92).  
Check that the correct icon is showing in the top leſt corner,  
and then carefully select, in any order, each of the points  
A, B and C.  
Point A is ready to be selected  
Make certain you don’t click unꢀl its label and the poinꢀng-  
finger icon appears as shown here.  
Page 36  
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First Steps with TI-Nspire  
Tutorial 5: Geometry  
Making Measurements  
With a triangle drawn on your screen, the next step is  
to measure its area. Choose opꢀon 2: Area from the  
Measurement menu (b8) and then move the cursor to  
one of the sides of the triangle. The triangle label and the  
poinꢀng-finger icon appear together with a calculated area  
in the background. Click to confirm the choice of the triangle,  
then move your cursor to where you want the measurement  
displayed then click again to show the measurement and  
finally press d to remove the icon from the top leſt corner.  
Measur
The area is now displayed (to the number of significant figures  
set in the Graphs & Geometry seꢂngs ~722).  
Noꢀce the range of other  
possible measurements available  
from this menu.  
Remember you can place the cursor over the calculated  
value (you should see the open-hand icon) and press + or -  
several ꢀmes. The effect is to reduce the number of displayed  
decimal places. This feature can be applied to any numbers on  
the screen in either the Graph or Geometry applicaꢀon.  
Variables and Text  
There are two ways to make it clear that the measurement at  
the boꢂom of the screen represents an area. One method is to  
simply add some text alongside the measurement. However,  
a more powerful method is to allocate the measurement to a  
variable and display the variable name alongside it. To do this:  
move the cursor over the measurement (you will see the  
open-hand icon;  
press h and choose opꢀon 1: Store Var (Alternaꢀvely  
press /h)  
Storing the measurement as a variable  
use the alphabeꢀc keys to give the variable the name  
area. Press ·.  
This variable may now be used on other pages of the  
document. For example, if you move to a Calculator  
page, type and enter area, the current value of the  
area will be used.  
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First Steps with TI-Nspire  
Tutorial 5: Geometry  
Now move to the top of the screen and enter some text, perhaps giving the user some explanaꢀon or  
instrucꢀons. You will need to press:  
b16 to select the Text opꢀon,  
Then click to start a box where text can be entered.  
Note you cannot do carriage returns in text boxes so do put in two lines you must use two text boxes!  
Dynamic Changes  
If you haven’t yet done so, try grabbing point A and sliding it  
along its line. Make quite certain that you grab the point––  
you must see its label. You may need to press e unꢀl the  
point itself, rather than the triangle or label is selected. If you  
do select the wrong item it is well worth remembering that  
/d will undo any acꢀon if something happens that you  
didn’t intend!  
Noꢀce that as you move the point, two sides of the triangle  
and the label A all move too. What does not change however,  
is the area.  
Ready to grab A and slide it  
Now try grabbing and dragging point B or C, and then the  
line segment BC and the line parallel to it. In each case noꢀce  
which other items on the screen move, and which do not.  
Thinking about how each item was originally defined should  
explain whether it moves in relaꢀon to other items.  
Tidying Up and Using Aꢀributes  
Finally it’s well worth seeing how to improve the appearance  
of the screen and prevenꢀng items from being grabbed  
unintenꢀonally.  
For this acꢀvity the scale in the top right corner may not be  
needed. You can hide it with opꢀon 8 in the View menu.  
The point that defines the parallel line may be rather  
distracꢀng, so you could hide it using opꢀon 3 in the  
Acꢀons menu.  
Now from the Acꢀons menu choose opꢀon 4: Aꢀributes.  
Move the cursor to one of the sides of the triangle and  
click (x) to select it.  
Changing the aꢂributes of the triangle  
This allows you to change the thickness and style of the line.  
Press · to confirm your choices.  
To change the shading of the shape, you need to ‘right-click’  
on the triangle by placing the cursor over one of the edges  
and pressing /b.  
Page 38  
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First Steps with TI-Nspire  
Tutorial 5: Geometry  
This brings up the contextual menu which gives the opꢀons  
available for the opꢀon displayed. To change the shading  
select Colour then Line Colour or Fill Colour which will open a  
colour picker from which you can choose a colour.  
Now move the cursor to point B and right click again (/b).  
This gives you the contextual menu for the point, one opꢀon  
here is to pin the point, which will prevent users from  
grabbing and moving it. For example, there may be good  
pedagogic reasons for only allowing point A to move in this  
acꢀvity. For the moment pin points B and C.  
To unpin an object just right-click on the object again and  
select Unpin.  
Conꢀnue to move the cursor around the screen and see  
the opꢀons for changing the aꢂributes of the parallel line  
and also the area measurement. When you look at the  
aꢂributes for the area calculaꢀon you will see the opꢀon  
of a padlock. Locking the measurement will fix the current  
value constraining movement of other points accordingly.  
Area is now locked  
Locking some objects and unlocking others can have very interesꢀng effects and if you have ꢀme you may care  
to invesꢀgate the following situaꢀons.  
a) Locked/pinned:  
The area measurement.  
Unlocked/Unpinned: Points B and C and the parallel line through A.  
Try Moving point B  
b) Locked/pinned:  
The area measurement and the parallel line through A.  
Unlocked/Unpinned: Points B and C.  
Try Moving point B  
Once again save your document as FirstSteps6 before going any further.  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 5: Geometry  
Check list of some key points in Tutorial 5:  
Use of the Plane Geometry View rather than the Graphing View  
Lines, segments and rays  
Construcꢀng parallel lines  
Drawing points on objects and labelling them  
The construcꢀon of shapes  
The difference between selecꢀng and grabbing screen objects  
Making a measurement and storing as a variable  
Aꢂributes which change the appearance and locking/pinning screen objects  
Page 40  
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First Steps with TI-Nspire  
Tutorial 6: Lists & Spreadsheet  
Tutorial 6  
Lists & Spreadsheet  
The Lists & Spreadsheet applicaꢀon is a very powerful means of manipulaꢀng data lists and works seamlessly  
with the other applicaꢀons to provide mulꢀple representaꢀons of data. This tutorial introduces the applicaꢀon,  
showing how to use it as a simple spreadsheet. It also shows how the Lists & Spreadsheet applicaꢀon handles  
lists and funcꢀons defined in the Calculator, and Graphs applicaꢀons.  
In the next Tutorial you will see how Lists & Spreadsheet is used in conjuncꢀon with the Data & Staꢀsꢀcs  
applicaꢀon to produce charts and staꢀsꢀcal summaries.  
Entering Data as Lists  
Open a document and press c then select  
to add a  
new page using the Lists & Spreadsheet applicaꢀon.  
Enter some data similar to that shown here:  
column A represents male shoe sizes,  
column B has widths of hand spans in cm (paired data  
with column A),  
column C is female shoe sizes.  
You will need 20 or 30 pairs of similar data in columns A and B  
and at least 15 values in column C.  
Differences from a spreadsheet?  
Noꢀce the similariꢀes and differences between this screen  
and a tradiꢀonal spreadsheet. In parꢀcular noꢀce the two  
areas coloured white and grey at the top of each column.  
The white area is for list names.  
The grey area is for formulas that will apply to all items  
in the list below.  
Move to the white space beside A, type mshoe and  
press ·.  
Defining the list in column C  
What you have just done is to define a new list. If you were  
to move to a Calculator screen, pressing h would reveal  
mshoe as one of the defined variables and lists,  
and entering the name on that screen would produce the  
result {11,8,7,12,9.5,…..}  
Lists can also be defined in the  
Calculator applicaꢀon  
Define the data in columns B and C as lists mhand and fshoe.  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 6: Lists & Spreadsheet  
Using Formulae  
Suppose you wished to invesꢀgate the relaꢀonship between hand spans and shoe sizes. You might therefore  
wish to divide every hand-span measurement by the corresponding shoe size. These raꢀos would best be  
expressed in decimal rather than fracꢀonal format so change the Document Seꢁngs for Calculaꢀon Mode to  
Approximate (~721).  
There are 3 ways (at least!) of calculaꢀng the raꢀos on the TI-Nspire. Try one of the following now.  
Either: in cell D1 type the expression =B1/A1. Select D1 and fill down the column by pressing b and  
choosing the opꢀons 3: Data and 3: Fill Down.  
Or:  
Or:  
in the grey formula area at the top of column D enter =mhand/mshoe.  
in the grey formula area enter =b/a.  
Conꢃict resoluꢁon  
One way to enter a formula  
Press b and noꢀce the various opꢀons  
available in the Lists & Spreadsheet applicaꢀon.  
TI-Nspire has most of the ediꢀng features that  
you would expect from a spreadsheet including  
selecꢀng, inserꢀng, moving and deleꢀng rows,  
columns and cells.  
Typical Spreadsheet Acꢁons  
You can also create absolute cell references in the usual way using $ chosen from the symbols key menu (º)  
and you can sort data in columns (b16). To sort mulꢀple columns at once by one column press £ unꢀl the  
column is selected then hold down g and press ¡ or ¢ to select the columns you want before choosing Sort  
from the Acꢁons menu.  
Page 42  
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First Steps with TI-Nspire  
Tutorial 6: Lists & Spreadsheet  
Capturing Data  
A powerful feature of TI-Nspire is its ability to capture data from a Graphs or Geometry page. Follow  
through these steps to see an example of how this works, using the measurement of the area of a triangle  
from Tutorial 5.  
Create a new Lists & Spreadsheet page: (c then select  
).  
Choose the Manual Data Capture opꢀon from the menus  
(b322).  
You should see in the entry line: =capture(var,0).  
Instead of typing ‘area’ you can also press  
h, highlight area and then press ·.  
Overtype var by typing the variable name area.  
Resize the column (b121).  
Move to cell A1 and capture the current value of area by pressing /^.  
Move to the page where you constructed the triangle. If necessary unpin point B and unlock the area  
variable, then grab B and move it. Noꢀce that this changes the area.  
Return to page 1.6 and in cell A2 press /^.  
In the formula the second parameter, 0, indicates manual  
capture was selected. An interesꢀng variaꢀon involves using  
automaꢀc capture (i.e. =capture(area,1)). Either edit the  
formula in column A or enter it in column B (b321).  
Then grab and move point B around again and see the huge  
amount of data that are generated. (See the Appendix for  
more ideas about using this feature).  
If you have ꢀme you may care to measure the base and height  
of the triangle on the Geometry page and capture these  
values on the Spreadsheet page. How could such features be  
used to develop an understanding of triangle area?  
Capturing data by hand  
Capturing data by hand  
Funcꢁon Tables  
It is quite possible to create from scratch a table of values for  
funcꢀons that have been defined elsewhere in the current  
document. For example, the screen shown here uses the  
definiꢀons of f1 and f2 that were used previously. Don’t  
worry if the values you see are different from these.  
A hand-made funcꢁon table  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 6: Lists & Spreadsheet  
Because funcꢀon tables are so useful, they can also be drawn  
automaꢀcally. Follow through these steps.  
Create another Lists & Spreadsheet page and press  
b51 to switch to a funcꢀon table. Noꢀce the different  
layout of the screen and a box with a list of the currently  
defined funcꢀons.  
Choose a funcꢀon and scroll up and down.  
Press b5 again. These are the only opꢀons that are  
available now: apart from the ability to resize columns.  
Experiment with using opꢀon 5: Edit Table Seꢂngs.  
A simple funcꢁon table  
Now use opꢀon 4: Edit Expression. You  
will see the values in the table change  
and any associated funcꢀon will also  
have changed.  
Opꢁons for funcꢁon tables  
Having a funcꢀon’s table on the same page as its graph can  
clearly be a powerful learning tool and there is a very simple  
way of arranging this on a split screen. On the relevant page  
of your document choose opꢀon A in the View menu or  
press /T.  
The Funcꢀon Table view is an  
alternaꢀve for any Lists & Spreadsheet  
page. You can toggle between the two  
views using /T.  
With a split screen of this nature it is as well to remove  
all unnecessary cluꢂer. Here the labels and unnecessary  
funcꢀons have been deleted. Also the verꢀcal split between  
graph and table was set using the opꢀon Custom Split from  
the Documents/Page layout menu. (~51).  
You can refine the split further by pressing the outer  
edge of the touchpad to move the window separator  
and then press ·.  
Graph and table side by side  
Page 44  
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First Steps with TI-Nspire  
Tutorial 6: Lists & Spreadsheet  
Frequency Charts  
Oſten due to the quanꢀty of data it is more useful to work  
with data in the form of a frequency chart, this can be for  
either discrete or grouped data (using the midpoint). Let’s  
look at some more shoe size data but this ꢀme as a frequency  
chart. Create a new Lists & Spreadsheet page, then enter the  
following data, with the headings gshoe (grouped shoe size)  
and gfreq (grouped frequency). We’ll explore what we can do  
with this data in the next secꢀon!  
Once again save your document, now as FirstSteps7 before  
going any further.  
Check list of some key points in Tutorial 6:  
Entering and ediꢀng data and formulas  
Lists and funcꢀons defined in other secꢀons of the document  
Resizing cells  
Coping with ambiguous variable/cell names  
Use of funcꢀon tables  
Entering Frequency Tables  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
Tutorial 7  
One and Two Variable Staꢁsꢁcs  
One of the six core applicaꢀons of TI-Nspire is Data & Staꢀsꢀcs, the workspace for presenꢀng, interpreꢀng and  
manipulaꢀng staꢀsꢀcal charts and graphs. This applicaꢀon works in combinaꢀon with the Lists & Spreadsheet  
applicaꢀon and this tutorial uses the data that were entered as a spreadsheet at the beginning of Tutorial 6.  
Shoe Sizes and Hand Spans  
Start by locaꢀng in your Document the page that you created  
in the first part of Tutorial 6. There should be 20 or 30 pairs of  
(probably ficꢀꢀous) data in columns A and B and at least 15  
values in column C.  
List mshoe in column A represents male shoe sizes.  
List mhand in column B has widths of hand spans in cm  
(paired data with column A).  
List fshoe in column C represents female shoe sizes.  
Charts with One Variable  
To create a new page for the charts press c then select  
Data entered in Tutorial 6  
.
Randomly distributed points: no variables  
have yet been assigned.  
Move the cursor to the boꢂom of the screen where it says:  
Click to add variable. Press x.  
A list of currently defined lists opens up, so use the Touchpad  
Choosing a variable  
to select mshoe and press · or x.  
Iniꢀally you will see a dot plot.  
Press b1 to see the Plot Type menu, which gives nine  
types of plot. Because you have only defined a single  
numerical variable so far, there are only three alternaꢀve  
plots including a boxplot and a histogram.  
Try these opꢀons now.  
Three plots for numerical data  
Page 46  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
Display the boxplot and then move the cursor over the chart.  
You will be able to see the median, quarꢀles, maximum and  
minimum values and, possibly, outlier values.  
Upper quarꢁle displayed  
Comparing Boxplots  
This boxplot can be compared with a similar one represenꢀng  
the female shoe sizes by displaying them, one above another.  
To do this we add a second X Variable by pressing b24,  
this will give you the choice of available lists.  
This ꢀme select fshoe. The result is two side by side box plots  
that can easily be compared.  
This method can be used to add more box plots, up to five or  
six can be easily compared on the same screen.  
Comparing shoe sizes  
Charts for Categorical Data  
Create a new Data & Staꢀsꢀcs page and choose the variable  
mshoe for the x axis.  
This variable contains a list of numerical data but they could  
also be thought of as categorical data, in which case it would  
be appropriate to use a Pie Chart. By using the opꢀon Force  
Categorical X in the Plot Properꢀes menu you can force the  
handheld to treat the data in this way. Noꢀce the way in  
which the labels on the axis change.  
A Pie Chart displaying categorical data  
Now you can use the Plot Type menu to choose Pie Chart.  
It is also possible to enter non-numerical categorical data in  
a Lists & Spreadsheet page, e.g., favourite pets, sandwich  
fillings etc. Such data must be entered in quotaꢀon marks  
by pressing /r(Ó).  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
Charts with Two Variables  
Create a new Data & Staꢁsꢁcs page.  
Noꢀce both axes are marked Click to add variable.  
As before select mshoe for the horizontal axis.  
Move the cursor to the leſt edge of the screen, click x and  
select the variable mhand for the verꢀcal axis.  
Ready to add a 2nd variable  
This displays the scaꢂerplot.  
It may be that there is a posiꢀve correlaꢀon and a relaꢀonship  
between hand span and shoe size, so it may be appropriate  
to model this relaꢀonship with a linear funcꢀon. The Analyze  
menu provides a range of tools to use.  
Fiꢂng a Line by Hand and Eye  
First try adding a line of best fit by eye, using opꢀon  
2: Add Movable Line. This displays a straight line together  
with a funcꢀonal relaꢀonship between mshoe and mhand.  
The line can be dragged into a best-fit posiꢀon using the two  
cursors for rotate and translate, in exactly the same way as  
a straight line can be moved manually in the Graphs and  
Geometry applicaꢀons.  
Powerful opꢁons in the Analyse menu  
Move to the middle of the line to get the  
translate cursor. Click and hold x to grab it.  
Now move the line into posiꢀon. Click again  
x to release the cursor.  
Move towards one end of the line to show  
the rotate cursor. Click and hold x to grab it.  
Use the Touchpad to rotate the line.  
Click again x to release the cursor.  
Page 48  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
Drawing the Regression Line  
The line that was fiꢂed by hand and eye can be compared  
with the calculated linear regression line using opꢀon 4 in the  
Analyze menu. Pressing b461 will display a line with  
equaꢀon of the form y=mx+b.  
As usual, you can click and drag on the regression equaꢀon to  
move it to a convenient place.  
The calculated regression line  
Geꢂng the Stats  
There are two methods for displaying summary staꢀsꢀcs:  
1. For a single staꢀsꢀc you can type its name and use  
the h key to choose the variable, e.g. =median(fshoe).  
=MEDIAN(h·  
2. On a Lists & Spreadsheet page, you can enter a complete  
set of staꢀsꢀcs into spreadsheet cells.  
Open a new Lists & Spreadsheet page and press b41  
to see the range of staꢀsꢀcal calculaꢀons. (Once again these  
will be very familiar to users of the TI-83/4).  
The Staꢁsꢁcs Calculaꢁons menu  
Choose opꢀon 1: One-Variable Staꢁsꢁcs.  
You have the opꢀon to display stats for more  
than one list but for now choose 1 list and  
then OK.  
Choosing the data list can either be done  
using the Touchpad, or you can type the  
name.  
Type the leꢂer of the column where you  
want the results to appear.  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
It is also possible to arrange side-by-side comparisons of  
corresponding summary staꢀsꢀcs for two or more data sets  
and this makes drawing inferences from the staꢀsꢀcs very  
quick and very clear. The best way to do this is to select more  
than one list above.  
Dragging on the Charts  
An interesꢀng feature is the ability to drag ploꢂed points  
around charts, thus changing the original data. Go back to  
the page on which you created the scaꢂerplot for male hand  
spans and shoe sizes. You leſt the plot showing the y=mx+b  
regression line and equaꢀon.  
Sets of staꢁsꢁcs  
Move the cursor to a point very near the line of best fit. The cursor changes to a hand with a finger poinꢀng  
upwards when it is poinꢀng to a data point. Click and hold x.  
Move the cursor to invesꢀgate the effect that moving this point has on the regression line. Below, the point has  
been moved to the top of the screen for maximum effect.  
The effect of moving a point from here …  
… to here.  
This shows the effect of changing a single hand-span value from 21cm to 32cm  
Working with Frequency Data  
In the previous tutorial we entered some grouped data for  
shoe sizes. We will now explore some of the ways we can  
work with that data using TI-Nspire. Start by returning to the  
Lists & Spreadsheet page we created in the previous tutorial.  
We can use the same process we used above to find summary  
staꢀsꢀcs for this frequency data.  
Page 50  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
Press b411 to start the One-Variable Staꢁsꢁcs wizard,  
again choose 1 list (remember mulꢀple lists are for when you  
want to calculate staꢀsꢀcs for mulꢀple lists at the same ꢀme).  
This ꢀme we set the X1 List to be ‘gshoe but change the  
Frequency List from 1 to ‘gfreq, and set the Results Column  
to be c (which is the first empty column).  
This gives you the summary staꢀsꢀcs for this grouped data –  
Noꢀce the mean comes out of to be just over 6, which  
matches original data (as the shoe-sizes go from 4 to 8).  
We can also graph this data. This can be achieved from either  
the Lists & Spreadsheet page by pressing b35 to insert a  
Summary plot, or from a Data and Staꢀsꢀcs page by pressing  
b25 to insert an X Variable with Frequency. We will use  
this second approach now, so create a new Data and Staꢀcs  
page by pressing c then selecꢀng  
.
Then press b25, this will give you the Frequency  
Plot wizard.  
This will give you the following graph. This can also be  
displayed as a box plot by pressing b12.  
If you are dealing with grouped data you may need to adjust  
the Bin Seꢂngs by pressing b222.  
Save your document as FirstStepsComplete, so you can return to this if you want at a  
later date.  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Tutorial 7: One- and two-variable staꢁsꢁcs  
Check list of some key points in Tutorial 7  
Creaꢀng one- and two-variable staꢀsꢀcal plots in the Data & Staꢀsꢀcs applicaꢀon  
Ploꢁng categorical as opposed to numerical data  
Using boxplots to compare data sets  
Calculaꢀng and displaying summary staꢀsꢀcs  
Manually fiꢁng straight lines to data  
Automaꢀcally fiꢁng linear-regression lines to data  
Dragging points on a scaꢂerplot  
Working with Frequency Data  
Page 52  
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First Steps with TI-Nspire  
Appendix: Mulꢁple Representaꢁons  
Appendix  
Mulꢁple Representaꢁons  
The previous seven tutorials have introduced many of the key features of TI-Nspire learning technology, with  
each of the applicaꢀons being discussed separately. However, one of the great strengths of TI-Nspire is that  
it allows the applicaꢀons to be linked dynamically, encouraging different approaches to problem solving.  
This appendix offers an example of what is meant by “mulꢀple representaꢀons, showing how several of the  
applicaꢀons can be used to invesꢀgate a mathemaꢀcal concept, in this case the relaꢀonship between a circle’s  
diameter and circumference and between its radius and area.  
By working through this appendix you will be able to revise many of the skills and techniques you met in the  
tutorials. Here detailed instrucꢀons and key presses have been omiꢂed though you will find back references  
if you need to remind yourself about parꢀcular techniques. However, try to concentrate on the big picture  
of what is going on, asking yourself how each of the mulꢀple representaꢀons contributes to a deeper  
understanding of the mathemaꢀcs.  
Draw and Measure a Circle  
Open a new document with a Geometry page.  
Construct a large circle on the screen.  
Construct a radius by drawing a segment from the  
centre to the circumference.  
To construct a diameter first construct a line (not a  
segment) from the centre to the circumference. Then  
construct the Intersecꢁon points of the line and the  
circle: this generates the point on the opposite end  
of the diameter.  
Now measure the lengths of the radius, the diameter  
and the circumference. Also measure the area. In each  
case change the number of decimal points displayed.  
Finally assign the measurements to variables. Click on  
each measurement in turn. Press h. Type the leꢂer  
appropriate for each measurement (r, d, C and A) and  
press ·.  
A measured circle  
Check that the measurements all change when you  
grab the edge of the circle and change its size.  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Appendix: Mulꢁple Representaꢁons  
A Spreadsheet for Data Capture  
Open a new Lists & Spreadsheet page.  
Type column headings for columns A to D.  
Click in the funcꢀon entry line in column A (grey cell just  
below the heading).  
From the Data menu choose Automated Data Capture.  
Type r and press ·. This will capture values of the  
radius in column A.  
Repeat for the other variables in columns B to D.  
Beginning to capture data  
Check that the data that appear are the same as the  
current measurements on the previous page.  
Two Scaꢀerplots  
Open a Data & Staꢀsꢀcs page.  
Choose the variable diameter for the horizontal axis and  
circum for the verꢀcal axis.  
So far there is only one data pair and one point for the  
Scaꢂer Plot.  
Open another Data & Staꢁsꢁcs page.  
Choose the variable radius for the horizontal axis and area  
for the verꢀcal axis.  
Seꢀng up a scaꢂer plot  
Collecꢁng Just a Liꢀle Data  
Return to the Geometry page.  
Click and drag on the circumference of the circle to move  
it in and out just a liꢂle bit.  
Review the amount of data you have collected in the  
spreadsheet.  
Review the relaꢀonships shown on the two scaꢂer plots.  
You may need to update the window seꢁngs using  
the opꢀon Zoom–Data from the Window/Zoom  
menu -b52.  
Data capture is under way  
Page 54  
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First Steps with TI-Nspire  
Appendix: Mulꢁple Representaꢁons  
Go to Town with Data Collecꢁon  
Return to the Geometry page and drag the  
circumference in as far as you can.  
Review the data in the spreadsheet.  
Review the diameter/circumference scaꢂer plot,  
using Zoom–Data to update the window seꢁngs.  
A linear relaꢁonship  
Fit a Straight Line  
From the Analyze menu choose Add Movable Line.  
Drag it into place to fit the ploꢂed points.  
To ꢀdy the funcꢀon, choose Lock Intercept at Zero  
from the Analyze menu.  
Also review the radius/area scaꢂer plot. Using Zoom–  
Data here will create a dramaꢀc change!  
Moving a straight line by hand  
Not a linear relaꢁonship!  
© 2012 Texas Instruments Educaꢀon Technology  
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First Steps with TI-Nspire  
Appendix: Mulꢁple Representaꢁons  
The basic quadraꢁc ready for fiꢀng…  
… and dragged into place  
A Different Approach to Scaꢀerplots  
Open a new Graphs page.  
From the Graph Type menu choose Scaꢀer plot –  
b34.  
Set x to be radius and y to be area.  
From the Window menu choose  
Zoom–Data and hide the entry line to gain a good  
view of the data points including the horizontal axis.  
Now choose Funcꢁon from the Graph Type menu -  
b31.  
Enter f1(x)=x2.  
Now you can click and drag the quadraꢀc curve  
into place to fit the data, just as you did earlier  
for the straight line.  
Regression  
Go back to the each of the scaꢂer plots on the Data &  
Staꢁsꢁcs pages in turn. From the Analyze menu choose  
Regression and place appropriate lines on the data.  
What other mathemaꢁcal examples lend themselves to this sort of approach?  
Page 56  
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