introductory to ti-84 plus graphing calculator

Upload: ysheng98

Post on 03-Apr-2018

224 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    1/57

    Introductory toTI-84 Plus

    Graphing Calculator

    Training Module

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    2/57

    ______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD i www.ict-education.com.my

    Table of Contents

    INTRODUCTION: WORKING WITH TI-84 PLUS ..........................................................1

    TI-84PLUSKEYBOARD .................................................................................................2

    SWITCHING ON/OFF THE TI-84PLUS...............................................................................3

    HOME SCREEN...............................................................................................................4

    SCREEN CONTRAST .......................................................................................................4

    CURSOR.........................................................................................................................4

    IMPORTANT KEYS...........................................................................................................4

    SUCCESSIVE COMMANDS ...............................................................................................5

    STORING NUMBERS........................................................................................................6

    USING MENUS ................................................................................................................6STANDARD SETTINGS .....................................................................................................7

    INTRODUCTION: CALCULATIONS ..............................................................................9

    EQUATION OPERATING SYSTEM (EOS)ORDER OF EVALUATION ..................................9

    Practice Examples: .................................................................................................10

    EDITING .......................................................................................................................12

    USING THE DEL KEY ....................................................................................................12

    INSERTING A NUMBER ..................................................................................................13POWER AND ROOTS .....................................................................................................13

    MATH MENU.................................................................................................................14

    Example: .................................................................................................................14

    REPEAT CALCULATIONS ...............................................................................................15

    REPEATING SIMILAR CALCULATIONS.............................................................................15

    INTRODUCTION : GRAPHING.....................................................................................17

    MAIN GRAPHING KEYS .................................................................................................17HOW TO CREATE A GRAPH ...........................................................................................18

    Defining Functions to be Graphed......................................................................18

    Defining Windows...................................................................................................18

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    3/57

    ______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD ii www.ict-education.com.my

    Graphing the Function ........................................................................................19

    Tracing the Function ...........................................................................................20

    Graphing a Second Function..............................................................................20

    Zooming ..............................................................................................................21

    Evaluating at a specific x values.........................................................................21SOLVING EQUATIONS ...................................................................................................22

    Graphical Solutions.............................................................................................22

    GRAPH VIEWS ..............................................................................................................25

    Practice Example ................................................................................................25

    INTRODUCTION............................................................................................................27

    RELEVANT KEYS FOR STATISTICS.................................................................................27

    UNIVARIATE STATISTICS ...............................................................................................27Entering Data as a List........................................................................................27

    Clear a List ..........................................................................................................29

    Build A Histogram ...............................................................................................29

    Naming A List ......................................................................................................30

    BIVARIATE STATISTICS .................................................................................................31

    Practice Example ................................................................................................31

    INTRODUCTION : SPECIAL FEATURES....................................................................33

    FLASH TECHNOLOGY....................................................................................................33

    DATA COLLECTION DEVICES WITH THE TI-84PLUS.......................................................33

    TI-84PLUS AND THE TI-GRAPHLINK CABLE WITH TI-CONNECT .....................................34

    TI-Connect Homescreen.....................................................................................36

    Connecting A device ...........................................................................................37

    Updating device software....................................................................................37

    TI DeviceExplorer Overview ...............................................................................38

    Transferring device files using drag and drop ................................................39

    Backing up device files....................................................................................40

    Restoring backed-up device files ....................................................................40

    TI ScreenCapture overview ................................................................................41

    Capturing device screens................................................................................42

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    4/57

    ______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD iii www.ict-education.com.my

    Saving captured screens.................................................................................42

    Sending images to a device............................................................................43

    Deleting device applications............................................................................44

    TI-INTERACTIVE WITH THE TI-84PLUS..........................................................................44

    Features ..............................................................................................................45The Math Box ......................................................................................................45

    The Math Palette.................................................................................................46

    Graphing Function...............................................................................................47

    Data Analysis ......................................................................................................48

    Connecting a Graphing Calculator .....................................................................51

    ACKNOWLEDGEMENTS .............................................................................................53

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    5/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 1 www.ict-education.com.my

    Introduction: Working with TI-84 PLUS

    This introduction training manual is to help educators to understand the operations of a

    TI-84 PLUS graphing calculator and its application for computation purposes.

    Mathematics and Science are visual subjects, and graphics calculators can provide the

    picture in a number of important areas of mathematics. They are also useful in

    allowing students to explore mathematics numerically and graphically. Graphics

    calculators are portable, powerful and, for what they do, relatively cheap.

    These notes are specifically designed for use with the TI-84 Plus, a graphic calculator

    manufactured by Texas Instruments. It is suitable for

    those who already have some knowledge about graphics calculators, but are

    looking for directions with specific operations

    those who have only just found the ON button.

    What can do the TI-84 Plus do?

    all the features of a scientific calculator plus matrices and complex numbers

    multi-line screen, which displays input and output of calculations

    simultaneously

    ability to graph Cartesian, parametric, polar and sequence graphs

    statistical functions for organising, analysing and displaying data

    programmable, with a large number of programs available for downloading

    can be linked to other calculators, computers and printers for electronic transfer

    of programs, data, etc and downloading programs from a computer or the web

    can be used in conjunction with a data logger and its probes (Calculator based

    laboratory (CBL 2)): these enable easy collection of real data, which can be

    organised, displayed and analysed

    an overhead-projector view screen is available (only for the Teachers set).

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    6/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 2 www.ict-education.com.my

    TI-84 PLUS Keyboard

    Generally, the keyboard is divided into these zones:

    Graphing Graphing keys access the interactive graphing features.

    Editing Editing keys allow you to edit expressions and values.

    Advanced Advanced function keys display menus that access the

    advanced functions.

    Scientific Scientific calculator keys access the capabilities of a standard

    scientific calculator.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    7/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 3 www.ict-education.com.my

    The keys on the TI-84 Plusare color-coded to help you easily locate the key you need.

    The light gray keys are the number keys.

    The blue keys along the right side of the keyboard are the common math

    functions.

    The blue keys across the top, set up and display graphs.

    The blue key provides access to applications such as the Finance

    application.

    The primary function of each key is printed on the keys. For example, when

    you press, the MATH menu is displayed.

    The secondary function of each key is printed in yellow above the key. When

    you press the yellow y key, the character, abbreviation, or word printed in

    yellow above the other keys becomes active for the next keystroke. For

    example, when you press y and then, the TEST menu is displayed. This

    guidebook describes this keystroke combination asy:.

    The alpha function of each key is printed in green above the key. When you

    press the green key, the alpha character printed in green above the

    other keys becomes active for the next keystroke. For example, when you

    press and then, the letter A is entered. This keystroke combination

    as [A].

    Switching on/off the TI-84 Plus

    The calculator is turned on by pressing the button; pressy (i.e. OFF) when

    you have finished. The calculator will turn itself off if not used for a short time, but

    nothing is lost when this happens. Just turn it back on and you will return to your work

    where you last left it.

    Notice that they key is yellow. When you need to use any function or value which is

    printed in yellow above a particular key, first press y and then the corresponding

    key.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    8/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 4 www.ict-education.com.my

    Home Screen

    The Home screen is the main screen which is used to display operations and to enter

    expressions and instructions. It is the first screen you will see when the calculator isfirst turned on.

    Screen Contrast

    If the screen is difficult to read then adjust the contrast. To make the screen display

    darker press y and then hold down the } key. Pressingy and thenwill lighten

    the display.

    You will see a number in the top right hand corner of the screen at this stage. The

    numbers range from 1 (for lightest) to 9. If the screen is showing the number 9 and the

    contrast is only adequate, you should replace the AAA batteries soon. (Refer to the

    manual for instructions.)

    Cursor

    A flashing square appears in the position where the next entry is to be made. You can

    access previous entries by using the cursor keys (they are the four keys with little

    triangle arrows found at the top right of the keyboard) to move about the screen.

    Important Keys

    There is no = key on a graphics calculator. When you want to carry

    out a calculation, enter the complete expression and then press

    These are the cursor keys. In these notes they are referred to using the

    symbols }~and |These keys will enable you to move around the

    screen.

    {{{{ This key is used to correct a little mistake. Using the cursor keys, place

    the cursor over the item to be deleted and then press{

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    9/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 5 www.ict-education.com.my

    This key clears bigger mistakes. It will clear all of the line that you are

    currently working on. But if you have already pressed then

    pressing clears the whole screen.

    5555 To access this feature you need to press yz. These keystrokes

    will always return you to the Home Screen. If necessary use these

    when you are stuck and can't see how to recover.

    yyyy This key has already been mentioned. It is used to access any feature

    which is printed in yellow at the top left of most keys. For example, to

    use the value of Bin a calculation, pressy

    zzzz This key fixes the way the calculator operates. For example you can

    choose to display answers with a fixed or floating number of decimal

    places, you can have a graph which is joined or just a series of points

    and so on.

    Successive Commands

    You can construct lengthy commands on the screen if you want before pressing,

    but you can also do chain calculations. The result of the most recent calculation is

    stored in Z. This is used in chain calculations, and can be recalled using y . Asan example, try the following key sequence. Watch where Z is automatically

    recalled.

    C Znote that you have to key in Anshere

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    10/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 6 www.ict-education.com.my

    What is the affect of the following?

    . . . . . .

    Pressing repeats the previous entry.

    Storing Numbers

    Memories are named alphabetically, as if variables are being given values. To store a

    specific value in a variable (or memory), first type the value onto your screen, then

    press , type a variable name followed by a single letter A, and press

    . The value stored in the variable will not change unless you store something

    else in that variable name.

    Lets store 3 in variable/memory P and 4 in variable/memory Q:

    P.

    Q.

    Now try the following (dont forget the ALPHA key before each letter):

    P

    2 P

    P Q

    3 P Q

    C P + Q

    Using Menus

    The TI-84 is menu-driven, which explains why the keyboard is relatively uncluttered.

    For example, many functions are located in the MATH menu. To access this, press

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    11/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 7 www.ict-education.com.my

    and you will see the four sub-menus displayed, with headings [MATH], [NUM],

    [CPX] and [PRB]. The arrow keys allow you to move between these.

    To access a menu function, press its number (or use the up- and down-arrow keys and

    ). Generally you construct an expression just as you would on paper. To leave a

    menu without selecting a function, press , which returns you to the home

    screen. Try the following examples:

    for 73

    ~ for |2-9|: absolute-value function~ for [3.1], greatest-integer function| for 15C4

    | for successive random numbers on (0: 1)

    | for 12!

    for 2/7 + 3/5 as a fraction

    Standard Settings

    When you first turn on a new calculator (or when you have reset to clear all the

    memories) it is already set to display certain features and to be used in a pre-

    determined way. We can change these to suit the type of calculations that are to be

    performed.

    What are the standard settings and what other options are there anyway? Press z

    - the screen looks a bit daunting doesn't it! Notice that there are a number of words

    already 'blacked out' - this means that these settings have already been selected.

    The first line determines the how the calculation results are displayed

    o Normal means that numbers are written in the normal way. But on the

    same row, we could choose Sci or Eng. Sci means that the answers would

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    12/57

    1 Working with TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 8 www.ict-education.com.my

    be given in scientific notation. If we wanted to have answers given in

    scientific notation, we would use the cursor keys to move the cursor so that

    it is blinking on Sci, however because Normal is still blacked out this is still

    the selected option. To change to Sci, when the cursor is flashing on Sci,

    press . Notice that Sci becomes the selected choice.

    The second line determines how many decimal places you may want in the

    answers.

    The third line determines whether angles are expressed in radians or degrees.

    The fourth line indicates the different types of graphs that are possible.

    o Func for function graphs, y= f(x), and this is the graph mode we will use

    most of the time.

    o The other modes are parametric, polar and sequence.

    Line 5 in Mode controls whether the plotted dots in a function (or other) plot are

    connected or not. Change the mode to Dot, and graph again using ZOOM

    Standard.

    Set line 5 back to Connected, and change line 6 from Sequential to Simul(taneous)

    Graph again, and figure out what this setting does.

    Line 7 allows you to enter Complex mode, with complex numbers in either

    Cartesian or polar form.

    Change line 8 from Full screen to GT. Graph again.

    o Press0 to move to the table and s to go back to the graph. Then

    try r . You need to use the arrow keys appropriate to the graph to

    move around both the table and the graph.

    o If you choose Horiz on line 8, the top half of the screen shows the graph,

    while the home screen, 0, oandp all use the bottom half of the

    screen.

    o Full-screen menus (e.g. MODE) will temporarily use the whole screen and

    then restore the split screen (if it is still selected) when you exit from them.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    13/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 9 www.ict-education.com.my

    Introduction: Calculations

    Calculations are performed by entering the numbers in the usual manner, keeping in

    mind that rule of order is obeyed. You can make use of the brackets on the keypad to

    enter quite complex computations.

    Try this simple addition: 345 + 678

    When you press the addition remains on the screen and the answer appears on

    the right hand side of the next line. It is not necessary to press before the next

    calculation.

    Equation Operating System (EOS) Order of Evaluation

    The Equation Operating System (EOS) defines the order in which functions in

    expressions are entered and evaluated on the TI-84 Plus. EOS lets you enter numbers

    and functions in a simple, straightforward sequence. EOS evaluates the functions in an

    expression in this order.

    Order Number Function

    1 Functions that precede the argument, such as (, sin(, or log(

    2 Functions that are entered after the argument, such as 2, -1, !, , r, and

    conversions

    3 Powers and roots, such as 2^5 or 5x 32

    4 Permutations (nPr) and combinations (nCr)

    5 Multiplication, implied multiplication, and division

    6 Addition and subtraction

    7 elational functions, such as > or

    8 Logic operator and9 Logic operators or and xor

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    14/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 10 www.ict-education.com.my

    Practice Examples:

    Example Keystrokes Answer

    1 2(5 2 1) 48

    2 8 1 0.125

    3 6 5 7776

    4 (-2) + (-5) -7

    5 (-2) (-5)

    Notice the difference between a

    negative sign associated with a

    number and the abstract operation

    3

    6 5

    y

    Notice that you do not need to enter

    a multiplication sign between and

    a constant.

    15.70796327

    7 X 10 2 y 314.1592654

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    15/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 11 www.ict-education.com.my

    Example Answer

    1 65 - 42 X 7 -47

    2 1/24 + 6.4 6.441666667

    3 10.36- 8.5 / 4 + 3.674 11.909

    4 2.3 x (3.1 + 4.98) 18.584

    5 24 + (6 4.5) X 3 28.5

    6 6.2 x (-4.8) + 3.22 -19.52

    7 789/(123 * 456) 0.140671801

    8 789/ (123 + 456) 1.362694301

    9 (123 + 789) / 456 2

    10 (12.62 + 3.8172) / (6.5 + 1.04) 2.18

    11 (6.2 + 5) 3 1404.928

    12 34.952 1221.5025

    13 35.52/(-2.4) -14.8

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    16/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 12 www.ict-education.com.my

    Editing

    Editing is how you correct your mistakes, or change your mind about a calculation.

    Suppose you have entered the calculation

    35 1.63 1 3 25 1 + 48 14.5

    The answer given on the right hand side of the screen is 4.310344828. But perhaps

    you have now realized that instead of 25 (in the numerator) you should have entered

    35. Since you can see what you have done on the screen, these kinds of mistakes are

    easy to spot!

    Pressy and you will see the calculation repeated (you haverecalled the previous entry) - but there is no answer this time.

    Use the |key repeatedly (or }~ ) so that the cursor is blinking on top ofthe 2.

    Then press 3 (which changes 25 to 35) and

    The corrected answer is given 0.0857142857

    Using the DEL key

    Suppose that the calculation above should have been

    35 1.3 1

    3 25

    1 + 48 14.5

    i.e. the 163 should have been simply 1.3

    Press y until you reach 35 1.63 1, place the cursor over the 6 and then

    press{ followed by - the answer is now 44.5

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    17/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 13 www.ict-education.com.my

    Inserting a Number

    If you need to insert a number, move the cursor until it is to the immediate right of

    where you need to insert, pressy{ (this is equivalent to INS), followed by the

    number (or numbers) to be inserted. Complete the calculation by pressing

    Power and Roots

    You may have noticed that the key is used to indicate that something is raised to a

    power. However, if you wish to square a number then is an option which uses one

    less keystroke.

    Example

    762 can be found by either of these methods.

    76

    or 76 ^ 2The answer is 57.76

    The square root key is accessed byy but these must be pressed before the

    number is entered.

    Example

    64 is entered asy 64

    ( )14425+ is entered using brackets like this.

    25 144 (Answer = 13)

    The final bracket is optional here, though there may be times when it is essential. You

    need to think about the calculation and the rule of order to decide when the closing

    bracket is essential.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    18/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 14 www.ict-education.com.my

    Math Menu

    Evaluate

    5

    4

    3

    2+ and give the answer as a fraction.

    There is no fraction key on the TI-84, however this is not a problem. The sum is

    entered in conventional manner using the 'divide' symbol. Here are the keystrokes:

    2 3 4 5 The answer is given as 146666

    We can change this to fraction form by using the following keystrokes:

    You will be returned to the Home screen and see that thecalculator has been instructed to change the answer to a

    fraction.

    The answer is given as 22/15

    If you want to change this back to a decimal form, press

    If a calculation involves a mixed numeral (for example 6 2/5 ) then you can change it to

    an improper fraction ( 32/5 ) or recognize that 6 2/5 means (6 + 2/5 )

    Example:6 50 can be found by:

    You will be immediately returned to the Home screen

    with the symbol x shown. This gives the instruction to

    find the sixth root of the number which is entered next.

    50 The answer 191938 is displayed.

    There are many other operations that can be done from the MATH menu, but we will

    only consider some of them here.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    19/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 15 www.ict-education.com.my

    Repeat Calculations

    Most calculators have the ability to repeat an operation over and over. Let's see how

    the TI-84 Plus does this.

    Suppose we need to fill in a table of values like this.

    What we are doing is starting with 100 then multiplying it and each successive answer

    by 1.2, ie repeatedly increasing by 20%. Here are the keystrokes that we would use.

    100 The starting number of 100 is shown.

    1.2 100 multiplied by 1.2 = 120

    120 1.2 = 144

    144 1.2 = 17.8

    and so on.

    Every time is pressed the previous answer is multiplied by 1.2. Complete the

    table above.

    The next results that you should see are: 207.36, 248.832, 298.5984

    Repeating Similar Calculations

    Suppose we want to find the height of a cylinder which has a radius of 5 cm and has a

    volume of 500 cm3. A guess and checkmethod could be to use the formula V =r

    2

    h,giving h different values until the answer is 500.

    Use these keystrokes to try an initial value as h = 3 cm.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    20/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 16 www.ict-education.com.my

    52 3 The value for V is 235619 , obviously then

    h = 3 cm is too little.

    So we could next try h = 4 cm. Instead of entering the complete calculation again,

    simply press

    y You will now see the previous expression on the screen.

    Use the cursor keys to replace 3 with 4, and again press . The key combination

    of y recalls the previous expression. This can then be edited and an answer

    recalculated.

    If you continue this process of recalling the previous expression and trying other

    values for h you should find that h = 637 cm (2 d.p.).

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    21/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 17 www.ict-education.com.my

    Introduction : Graphing

    Main Graphing KeysThe keys which are located just under the screen are the main ones used to create

    and investigate graphs.

    oooo This is the key used to enter the expression, or function, which you

    want to graph.

    pppp This key allows you to specify the scale for the x- and y-axes. This is

    where you set the maximum values for xand for ythat you wish to see

    on the screen.

    qqqq You can zoom in on a graph to show more detail - just like using a

    magnifying glass. Or you can zoom out to see more of the graph if you

    need to see the 'big picture'. Other options will be described as they are

    needed later.

    rrrr When you need to investigate how xand yvalues are changing, we use

    the tracefacility. It allows you to follow the path of a graph with a cursor,

    and to read the coordinates of the point where the cursor is located

    ssss Once you have told the calculator what you want to graph, pressing this

    key then actually draws the graph.

    There are other options printed in yellow above each of these keys. These are

    accessed by first pressingy - their use will be explained later.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    22/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 18 www.ict-education.com.my

    How to create a Graph

    Defining Functions to be Graphed

    In order to graph a function, it must first be entered on the function list. Press o to go

    to the function list. If there are any functions already defined, you can clear these by

    moving the flashing cursor (using the ~ etc. keys) to any position of the expression

    itself (but not on the = sign), and press .

    You can define up to 10 different functions (labelled as Y1, Y2, Y3, etc.) and all or

    some of these can be graphed simultaneously. If you wish to leave a function defined

    but do not want it graphed, then move the flashing cursor to be over the = of that

    expression, and press . The = sign will no longer be highlighted. To reselect a

    function to be graphed, move the cursor to the = sign and press.

    Defining Windows

    Unless you specify otherwise, a graph will be displayed on the standard screen. For

    this the x-axis is from 10 to +10 in steps of 1 unit, and the same for the y-axis. You

    need to be aware of the settings for the axes so that you can interpret the graph, as no

    scale is written on the axes. You can design the xand yaxes for a graph by specifying

    maximum and minimum values that you wish.

    Press p . You will see the current information about the axes. You can change

    any of these settings by overwriting them.

    The setting Xscl means the scale for the marks along the x-axis; that is, the size of the

    'jumps' between the maximum and minimum values. Similarly for Yscl. Xres sets the

    pixel resolution.

    If Xres = 1, the function is graphed at every pixel on the x-axis.

    If Xres = 8, the function is graphed at every 8th pixel on the x-axis.

    Generally we leave Xres = 1.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    23/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 19 www.ict-education.com.my

    Graphing the Function

    Presso At Y1, press This enters the variable x.

    Press Now we have the variable squared.

    For the graph of y= x2, let's choose the x-axis to be from 4 to +4, going up in steps

    of 1; and for the y-axis, set Ymin to be 1 (since we know that the curve will be above

    the x-axis), and Ymax to be 20, again going up in steps of 1.

    Pressp and enter these settings.

    Xmin = 4 Make sure you enter this using the keys() 4

    Xmax = 4

    Xscl = 1

    Ymin = 1 Enter using() 1

    Ymax = 20

    Yscl = 1

    Press s The graph of y = x2 will now be displayed on the setting you have

    chosen for the axes.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    24/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 20 www.ict-education.com.my

    Tracing the Function

    A graph can be traced by pressing ther key. A flashing cursor ('star') appears on

    the graph, the coordinates of that point are given at the bottom of the screen. The

    equation on which the cursor is currently located is shown at the top left of the screen.

    Use the ~key to move the cursor to the right along the graph. Notice how the

    coordinates given at the base of the screen of this point change. To move to the left,

    use the|key. These coordinates are given to the number of decimal places specified

    using thez key.

    To remove the tracing cursor (and its coordinates) press . The starting position

    of the cursor is always at the central value for xon the screen. Since the window is set

    for 4 x 4, the central position is at x= 0.

    Graphing a Second Function

    1. Presso. At Y2, press This enters the variable x.

    2. Press + 2

    3. Presss

    The graphs of y= x2 and y= x+ 2 are both displayed. If we wish to investigate where

    these two graphs intersect it will be more convenient to view over a smaller range of x

    and yvalues.

    4. Change these values usingp ( 4 x 4 and 1 y 5 is a good window to

    use.)

    5. Presss to return to the graph screen, and then press TRACE .

    The flashing cursor will be on the curve of y= x2 - as indicated by the equation at the

    top of the screen. Use the }(or ) keys to move the cursor to the graph of Y2 (i.e. y

    = x+ 2), and the equation Y2 = x+ 2 is now shown at the top of the screen.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    25/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 21 www.ict-education.com.my

    To determine the coordinates of the points of intersection, move the cursor (either

    ~or |), until it appears to be at the point of intersection and then read the

    coordinates. (One point should be very close to x= 2, y= 4)

    Zooming

    In trying to locate the point of intersection of y= x2 and y= x+ 2 when x is positive

    (above) you may have noticed that the cursor 'jumps' and you may not be sure of its

    position. This is when we need to 'zoom in' to magnify the graph.

    With the cursor located as close as you can to the point of intersection, which we

    know will be at (2,4),

    Pressq 2 The number 2 is pressed so that you zoomin. At this

    stage you will be returned back to the graph, but nothing

    seems to have changed - yet!

    Press Now youwillsee a close up of the point of intersection!

    Press r and use the cursor keys to locate the point of intersection more

    accurately, and then zoom in again if you wish.

    The keystrokes q 3 will undo the zooming process. Alternatively, q 6

    will return you to the standard graph window, i.e. 10 x 10 and 10 y

    10.

    Evaluating at a specific x values

    A very convenient feature is the ability to find the y-value for any graph at any

    particular value for x.

    Whilst you have the graphs on the screen, press yr and then choose the

    option value. You will be returned to the graph screen and notice that the cursor is

    positioned at the bottom of the screen and waiting for you to prompt it with an xvalue.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    26/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 22 www.ict-education.com.my

    Enter 1, say - this means find the y-value of Y1 when x= 1. After pressing

    the value of yis also shown at the bottom of the screen; in this case, y= 1.

    If you press } you will notice that the cursor moves to Y2, and you can also evaluate

    Y2 at x = 1. Since this will show you that Y2 also is 1 when x = 1, you have

    confirmed that the point ( 1, 1) is a point of intersection of the graph.

    If you look at the graph, it appears that the other point of intersection is at x= 2. Try

    evaluating Y1 and Y2 at x= 2 to confirm that this is the other point of intersection.

    You will have probably realised by now that finding these points of intersection has

    actually given you the solution of the equation

    x2 = x+ 2 or x2 x 2 = 0

    Solving Equations

    Algebraic equations can be solved graphically by finding where the equation intersects

    with the x-axis, or by using an algebraic method. For a quadratic equation, an

    algebraic method could be by factorizing or using the quadratic formula.

    Using a graphics calculator any equation can be solved by either graphical oralgebraic means.

    Graphical Solutions

    There are two alternatives to use here:

    1. You can graph the function and then use the Tracefacility to zoom in on the

    coordinates of the x-intercepts. Enlarge the region around the intercept until

    you have the desired level of accuracy.

    2. You can use the Calc facility and ask the calculator to find the roots of any

    graph.

    We will use the function f(x) = x3 3x2 + 2 to demonstrate both of these methods:

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    27/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 23 www.ict-education.com.my

    The 'trace' method

    Plot the function f(x) = x3 3x2 + 2.

    1. Suggested window settings:Xmin = 2 Ymin = 3

    Xmax = 4 Ymax = 3

    Xscl = 05 Yscl = 05

    2. Presss The graph appears to have one root at x = 1, and the

    other two are in the intervals 1< x < 0.5 and

    2.5 < x < 3.

    3. Pressr You will notice that the cursor is at the point (1,0)

    ,because x = 1 is the centre of the screen. This confirms

    that there is one root at x = 1.

    4. Use the~key to put the cursor as close as possible to the root which is at x 2.7.

    You will notice that you only need to use the ~and |keys to move the cursor

    along the path of the curve.

    5. Pressq 2r UsingTRACE ensures that the cursor

    Stays on the curve when either or

    are pressed. Position it as close as

    possible to the intersection of the curve

    and the x-axis.

    6. Continue to press q 2 r until you have a value for the xintercept

    which is to the required level of accuracy. (To 2 d.p., x= 2.73)

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    28/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 24 www.ict-education.com.my

    7. To leave this enlarged screen, you can return directly to the standard screen by

    pressing q 6 . Then reset the window to the settings as given at the

    beginning. You can 'unzoom' by progressively pressing q 3 . However

    this will not take you back to the original window, so the method above is probably

    the easier one.

    Finding the Roots of the Function Method

    Plot the function f(x) = x3 3x2 + 2

    1. Suggested window settings:

    Xmin = 2 Ymin = 3

    Xmax = 4 Ymax = 3

    Xscl = 0.5 Yscl = 0.5

    2. Presss The graph appears to have one root at x = 1, and the

    other two are in the intervals 1< x < 0.5 and

    2.5 < x < 3.

    3. Pressyr This accesses theCalckey.

    4. Press 2 This chooses to calculate azero(or root)of the

    equation.

    5. The graph is displayed with a prompt at the bottom of the screen to enter Left

    Bound. This is a value for xwhich is less than the actual root. Use the cursor ~or

    |to move along the curve to locate an xvalue less than the required zero. Then

    press . You will notice that a little black triangle appears at the top of the

    screen - this is to let you know where you have selected the lower estimate for the

    root.

    6. You will now be prompted for an Right Bound, so use the cursor to move along

    the curve to locate an xvalue greater than the required zero. Press, another

    little triangle will appear to show you the interval that you have selected and from

    which the zero will be determined.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    29/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 25 www.ict-education.com.my

    7. The calculator now asks you for a Guess. In other words, guess a value where you

    think the zero is, but it must be between the Left Bound and the Right Bound.

    Select this guess by moving the cursor back to the left and pressing

    8. The coordinates of this root will now be displayed. The ycoordinate will be 0 or

    very close to it. The xcoordinate is the value of the zero to an accuracy of as many

    decimal places set using the z key.

    For this example, you should find x= 27320508 (to 7 d.p.) is the zero of the equation

    in the interval 25 < x< 3.

    Repeat the procedure to find the zero which is in the interval 05 < x< 1.

    You should find that this zero is at x= 07320508 (to 7 d.p.)

    Graph Views

    On the TI-84, there are different ways that you can view a graph.

    Practice Example

    Graph Y1 = x2

    + 4xusing a window of 2 x 6, 2 y 6 and both Xscl = Yscl

    = 1. After pressings you will see the graph with the standard view:

    1. Presso then use the cursor keys to select the \ mark to the left of Y1.

    2. Press . You will notice that the \ mark changes to a thick oblique line. This

    changes the graph to one with a thick line.

    3. Presss to have a peek.

    4. Go back too and again select the mark to the left of Y1.

    5. Successively pressing changes the mark to the following options. Try them,

    and then look at the resulting graph.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    30/57

    3 Graphing with the TI-84 PLUS______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 26 www.ict-education.com.my

    Here's what each option does.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    31/57

    4 Lists and Statistics with TI-84 Plus______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 27 www.ict-education.com.my

    Introduction

    There are a few keys which are used frequently when analysing statistics. A brief

    description of the relevant ones is given.

    Relevant Keys for Statistics

    This key allows you to enter data as lists (when EDIT is chosen)

    and the/ option enables you to specify which calculations or

    analysis you wish to carry out.

    yyyyoooo This key combination accesses STAT PLOTS, and allows you

    to define and view three different statistical graphs.

    yyyy You can access lists of data in this way. Up to 6 different lists

    can be entered using the TI-84 Plus lists which are labelled L1

    to L6, however you can generate more giving them your own

    names. These can then be sorted into order, filled with a

    constant or a sequence created and stored as a list.

    Univariate Statistics

    Entering Data as a List

    Press This chooses the 'Edit' feature.

    You will now see a table on the screen - it is actually just 3 columns of the 6 standard

    lists. For the time being we will only enter one list. The cursor should already be in L1

    column, and you will see L1(1) at the base of the screen. You are ready to enter a

    number into position 1 of list L1. Enter this list of 13 numbers into L1 as follows:

    121362620

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    32/57

    4 Lists and Statistics with TI-84 Plus______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 28 www.ict-education.com.my

    40153016

    21312918

    You can check the list at this stage to make sure you have not made any mistakes if

    you have, simply use the - key to select the incorrect entry and re-enter the correct

    value by 'overwriting'.

    If you wish you can sort the list into either ascending or descending order. To sort into

    ascending order press y To check that this has been done,

    press .

    Since there is only one list entered, calculation of statistical measures can only be

    found for 1 variable.

    Press~ This returns you to the Home Screen and shows that1-

    Var Statswill be generated, but you have to tell the

    calculator that data is in L1.

    Pressy The1-Var Statswill be calculated and displayed.

    You will need to use the to see all the summary

    statistics.

    Unless you specify otherwise, the calculator assumes that the data is in L1 and that

    the frequency of each score is 1. So for this situation, simply pressing will

    calculate the required one variable statistics. You should find that the mean is

    2130769231 and the median is 20.

    Note:

    Sx means the sample standard deviation

    x means the population standard deviation

    Q1 is the lower quartile and Q3 is the upper quartile

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    33/57

    4 Lists and Statistics with TI-84 Plus______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 29 www.ict-education.com.my

    Clear a List

    There are a few ways that this can be done:

    1. After choosing you can manually delete (by pressing {), each

    list value individually - pretty tedious eh?

    2. Press ; you then need to specify which lists are to be cleared. Press

    y 1 to clear L1, 2nd 2 to clear L2 and so on. Each of these must be

    separated by a comma.

    3. After choosing if you use the arrow keys to place the cursor over

    the heading for L1, then just press and the whole list will be

    deleted.

    4. Pressing y takes you to the Memory menu. Press to select Delete,

    and to ask for a List to be deleted. Use the cursor keys to move the small

    triangle to the list you want to delete, then press.

    Build A Histogram

    A frequency table of data such as the following is entered with the scores in one list

    (perhaps L1) and the frequencies in another list (say, L2), or vice versa - it doesn't

    matter, as long as you know which list represents what.

    Alternatively, you can choose to name these lists, perhaps as SCORE and FREQ.

    Instructions to name list is given later.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    34/57

    4 Lists and Statistics with TI-84 Plus______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 30 www.ict-education.com.my

    Pressp to set the axes for the histogram as you want them. Perhaps going

    from 0 - 11 along the horizontal axis, and 0 - 15 for the vertical axis. Both the x

    scale and the yscale should be 1.

    Use PLOTS to ensure that only one graph is ON - otherwise you may find it

    confusing if two or more graphs are superimposed.

    Choose whichever plot is convenient, though we will choose Plot 1.

    Pressyo Make sure that Plot 1 isONby pressing

    ENTER when the cursor is flashing here

    ~~ You should now have the flashing cursor overthe histogram icon.

    y To select L1 for the Xlist, and

    y For L2 as the frequency.

    s The histogram should now be displayed.

    Naming A List

    As with many of the functions and operations of the calculator there is more than one

    way to name a list.

    We'll use the frequency data above and enter these under the names SCORE and

    FREQ.

    Press. This takes you to the screen showing lists and the cursor is already

    in L1.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    35/57

    4 Lists and Statistics with TI-84 Plus______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 31 www.ict-education.com.my

    Move the cursor over the heading for L1 and then press 2nd DEL (i.e. INS ) This

    creates a new list, and moves all the other lists, L1 to L6, to the right.

    You will be prompted for a name at the bottom of the screen and alpha lock is on, so

    you use the keys to spell the name SCORE.

    Then press The name is transferred to the top of the list. Move the cursor over

    the heading for L1 and go through the same process to enter the name FREQ.

    Bivariate Statistics

    When we are dealing with two data lists, usually we need to calculate statistical

    information about the two separate lists, and also about how the two lists are related.

    That is, we are interested in the bi-variate statistics.

    To illustrate the use of the TI-84 for the calculation of bi-variate statistics, work through

    the following example.

    Practice Example

    The following data shows IQ and corresponding results of a Scholastic Aptitude Test

    (AST) for 10 people.

    For this data

    (a) determine the summary statistics

    (b) plot a scatter diagram

    Solution:

    Enter the xdata into L1 and the ydata into L2.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    36/57

    4 Lists and Statistics with TI-84 Plus______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 32 www.ict-education.com.my

    Press~ This returns you to the Home Screen and indicates

    that 2-Var Statswill be calculated. The cursor will be

    prompting you to enter the Xlistand Ylist, separated by

    a comma.

    Pressy ,y then The statistics are now displayed. You will need to use

    the key to see all the summary statistics.

    First set the range for xand yvalues using WINDOW . ( To predict for a SAT score of

    145 Xmax should be >145.)

    Suggested:

    Xmin = 90 Xmax = 150 Xscl = 5

    Ymin = 40 Ymin = 90 Yscl = 5

    Pressyo You have chosen Plot 1, Ensure that it isON, and

    use the cursor arrows to choose the 'scatter plot'

    icon. At this stage also check that x and y data are

    being read from the correct lists.

    Presss The scatter diagram is now displayed.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    37/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 33 www.ict-education.com.my

    Introduction : Special Features

    Flash Technology

    The TI-84 Plus uses Flash technology, which lets you upgrade to future softwareversions without buying a new calculator.

    As new functionality becomes available, you can electronically upgrade your TI-84Plus from the Internet.

    Future software versions include maintenance upgrades that will be released free ofcharge, as well as new applications and major software upgrades that will be availablefor purchase from the TI web site: education.ti.com

    The TI84 Plus has 160K of available memory whereas the TI-84 Plus Silver Edition

    has 1.56 M. About 24 kilobytes (K) of RAM (random access memory) are available forto compute and store functions, programs, and data. About 1.54 M of user dataarchive allow you to store data, programs, applications, or any other variables to a safelocation where they cannot be edited or deleted inadvertently. You can also free upRAM by archiving variables to user data

    Applications can be installed to customize the TI-84 Plus to your classroom needs.The big 1.54 M archive space lets you store up to 94 applications at one time.Applications can also be stored on a computer for later use or linked unit-to-unit.

    Press to see the complete list of applications that came with your calculator.

    Data Collection Devices with the TI-84 Plus

    The TI-84 Plus comes with the CBL/CBR application already installed. When coupledwith the CBL 2 or CBR accessories, you can use the TI-84 Plus to analyze real worlddata.

    CBL 2 and CBR with the available probes let you explore mathematical and scientificrelationships among distance, velocity, acceleration, and time using data collectedfrom activities you perform.

    CBL 2 and CBR differ in that CBL 2 allows you to collect data using several differentprobes analyzing temperature, pH, light, voltage, or sonic (motion) data. CBR collectsdata using a built-in Sonic probe.

    CBL 2 and CBR accessories can be linked together to collect more than one type ofdata at the same time. These handheld data collection devices together with the TI-84Plus will be explained further in the Science sessions.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    38/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 34 www.ict-education.com.my

    TI-84 Plus and the TI-Graphlink cable with TI-Connect

    The TI Connect software is the next-generation link software taking TI handheld

    technology to a new level of TI device, computer, and Internet connectivity. The TIConnect software makes downloading and transferring data, operating systems, and

    handheld software applications (Apps) easier than ever before.

    The TI Connect software and the TI-Graphlink cable let you attach the TI-84 Plus

    graphing calculator to a personal computer (PC) running Windows

    (95/98/Me/2000/XP or NT 4.x).

    The main features of the TI-Connect software is:

    TI DeviceExplorer. Transfer files between your computer and the

    connected device.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    39/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 35 www.ict-education.com.my

    TI GroupExplorer. Combine device files into groups and then move those

    grouped files back and forth between the device and your computer.

    TI ScreenCapture. Capture screens from the attached device. Paste the

    captured screens into another application or save them to a file on yourcomputer.

    TI DataEditor. Create, display, and modify List, Number, or Matrix files.

    TI DeviceInformation. Find information about your device, including

    general information, installed applications, and ID Lists.

    Shop. The TI Connect software provides limited World Wide Web access

    that lets you browse the TI Online Store, locate and download operating

    system upgrades, purchase applications, and receive product support.

    Backup. Backup device files (except Flash applications) onto your

    computer.

    Restore. Restore backed-up files to your device.

    Options. Specify the type of device that is connected to your computer,

    select the start-up screen to display, select your default directories, enable

    or disable the check for an upgraded operating system, or change your

    communication settings.

    Updates. Scan the TI Online Store automatically to locate a new device

    operating system or application upgrades. Choose to upgrade now, save

    the upgrades to your computer so you can upgrade later, or cancel.

    Utilities. Start other TI applications from your computer, including TI

    CellSheet Converter, TI StudyCards Creator, TI InterActive!

    software, and TI NoteFolio Creator.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    40/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 36 www.ict-education.com.my

    The TI Connect software does not emulate the connected handheld device. The TI

    Connect software is designed for you to use in conjunction with the handheld device,

    not in place of it. The TI Connect software does not perform on-screen computations

    nor does it have graph functions.

    TI-Connect Homescreen

    You can launch software applications from the Home screen, Utilities screen, and

    Program Editors screen.

    Note: The software applications available under Utilities and Program Editors do not

    come with the TI Connect software. You must download or purchase these

    applications from the TI Connect Store.

    From the Home screen, you can launch TI DeviceExplorer, TI ScreenCapture, TI

    GroupExplorer, TI DataEditor, and TI DeviceInformation.

    1. Click Home.

    2. Click the desired application.

    From the Utilities screen, you can launch TI CellSheet Converter, TI StudyCards

    Creator, TI InterActive! software, and TI NoteFolio Creator.

    1. Click Utilities.

    2. Click the desired application.

    From Program Editors, you can launch the TI-GRAPH LINK application. To launch

    these application:

    1. Click Program Editors.

    2. Click the desired application.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    41/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 37 www.ict-education.com.my

    Connecting A device

    You can connect a TI handheld device to your computer by using a TI-GRAPH LINK

    Serial cable for Windows (black), a TI-GRAPH LINK Serial cable for Windows/Mac

    (gray), or a TI-GRAPH LINK USB cable for Windows/Mac (silver). A 9-pin to 25-pincable adapter is required only if you are connecting to a 9-pin serial port on the

    computer.

    To Connect Your Device with a TI-GRAPH LINK Serial Cable (Black or Gray)

    1. Connect one end of the cable to the computers serial port.

    2. Connect the other end of the cable to the port on the device.

    To Connect Your Device with a TI-GRAPH LINK USB Cable (Silver)

    1. Make sure you have installed the TI Connect software (see caution below).

    2. Connect one end of the TI-GRAPH LINK USB cable to the computers USB

    port.

    3. Connect the other end of the cable to the port on the device.

    Caution: Always connect the TI-GRAPH LINK USB cable after you install the TI

    Connect software. If you connect the TI-GRAPH LINK USB cable before you install theTI Connect software and you are using Windows XP, Windows 2000, Windows Me,

    or Windows 98, the incorrect driver may be installed and you will have to re-install the

    USB driver.

    Updating device software

    Click Updates to update the operating system and/or Flash application software on the

    connected device. You must have an active connection to the Internet to update Flashapplications, but you do not need an active connection to the Internet if you are

    updating the operating system. The TI Connect software includes the latest device

    operating systems.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    42/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 38 www.ict-education.com.my

    The instructions below describe checking for updates and updating your device's

    operating system, free Flash applications, and purchased Flash applications. If Check

    for new software on every startup is your default setting, you do not need to check for

    updates. With this setting, the TI Connect software automatically checks for an

    updated operating system every time you start up.

    Caution: Do not disconnect a USB cable during the update.

    TI DeviceExplorer Overview

    Click TI DeviceExplorer to work with your device files. With TI DeviceExplorer and a TI

    device connected to your computer, you can

    Copy device files to your computer

    Copy computer files to a connected device

    Move device files to your computer

    Edit device files

    Delete device files

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    43/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 39 www.ict-education.com.my

    Backup your device

    Restore backups to your device

    Manage device date and time

    Update the device's operating system

    Refresh device files in the TI DeviceExplorer window

    Transferring device files using drag and drop

    If you have device files located on your computer, you can drag a file and drop them

    onto the TI Connect desktop icon for a quick transfer to the device. Here are a

    couple of ways to transfer a file to your connected handheld device quickly without

    actually starting the TI Connect software.

    To transfer device files located on your hard drive:

    1. Using Windows Explorer, locate the device file you want to transfer to the

    connected device.

    2. Reduce the size of the Windows Explorer window so you can see the TI

    Connect desktop icon.

    3. Click the device file you want to transfer.

    4. Drag the device file out of Windows Explorer and drop it on the TI Connect

    desktop icon.

    To transfer device files located on your desktop:

    1. Click the device file that you want to transfer.

    2. Drag the device file and drop it on the TI Connect desktop icon.

    Cautions:

    Do not disconnect a USB cable during a transfer.

    You can accidentally overwrite a file located on the connected device. If the file

    name of the application variable (AppVar) or third-party data type you are

    transferring to the device begins with a digit, and that file exists on the

    connected device, TI DeviceExplorer does not ask if you want to replace it, it

    simply replaces it.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    44/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 40 www.ict-education.com.my

    Notes:

    The total length of the full path and file name must be less than 128 characters

    when performing a drag-and-drop operation.

    You may receive an Out of Memory error message if you transfer a large filefrom your device to your computer and then try to send it back to your device.

    This happens because the device was at its memory limit when the large file

    was saved.

    Backing up device files

    Click Backup to back up your device to your computer. Its always a good idea to

    perform an occasional backup of your device files. Backup does not back up Flash

    applications.

    To backup the device to your computer

    1. Make sure the device is properly connected to your computer and is turned on.

    2. On the TI Connect home screen, click Backup.

    The TI Connect software displays the Save As window.

    1. Navigate to the location on your computer where you want to put the backupfile.

    2. Enter a backup file name.

    3. Click Save.

    Caution: Do not disconnect a USB cable during the backup.

    Restoring backed-up device files

    Click Restore to restore files backed up on your computer back to your device.

    To restore the backed up files to your device

    1. Make sure your device is properly connected to your computer and is turned

    on.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    45/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 41 www.ict-education.com.my

    2. On the TI Connect home screen, click Restore.

    The TI Connect software displays the Open window.

    1. Navigate to the location on your computer where you put the backup file.

    2. Click the backup file to select it.3. Click Open.

    Caution: Do not disconnect a USB cable during a transfer.

    TI ScreenCapture overview

    Click TI ScreenCapture to capture and edit device screens. You can then paste them

    into other applications, save them as a file on your computer, or send them to the

    device connected to your computer. TI ScreenCapture also gives you additional

    capabilities for customizing your captured screens, such as adding borders, changingimage size, and rotating images.

    Use TI ScreenCapture to

    Capture screens

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    46/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 42 www.ict-education.com.my

    Add borders to images

    Paste captured screens

    Flip images

    Resize images

    Rotate images

    Edit images

    Print images

    Save captured screens

    Send images to a device

    Capturing device screens

    To capture a device screen

    1. Be sure the device is connected to your computer and is turned on.

    2. On your device, display the screen you want to capture.

    3. On the TI Connect home screen, click TI ScreenCapture.

    TI ScreenCapture starts, connects to the device, captures the screen, and displays it

    on your computer.

    4. To capture another screen, click Actions > Get Screen.

    Notes:

    TI ScreenCapture cannot capture a device screen if the ComPort is busy. For

    example, you cannot capture a screen image while a transfer is in progress.

    You can display up to a maximum of 20 images at one time, from either new

    screen captures, saved image files, or any combination.

    Saving captured screens

    To save the captured screen as a file on your computer

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    47/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 43 www.ict-education.com.my

    1. In TI ScreenCapture, display the captured screen you want to save.

    2. Click File > Save As.

    3. Navigate to the location on your computer where you want to store the captured

    screen.

    4. Select the file type (.jpg, .bmp, or a device-specific file type).5. Click Save.

    Note: Saved screens are always slightly larger than the actual screen image captured

    from the device.

    Sending images to a device

    You can send an image to the connected device by using TI ScreenCapture,

    Windows Explorer, or TI DeviceExplorer.

    To send an image to the connected device using TI ScreenCapture

    1. Capture a device screen or open an existing image file.

    2. Click Actions > Send To Device.

    TI ScreenCapture displays the Send Picture window.

    3. Depending on the type of device connected to your computer, either enter a

    name for the image or select a name from the list.

    4. Click OK.

    To send an image file to the connected device using Windows Explorer

    1. Start Windows Explorer.

    2. Navigate to the directory that contains your image file.

    3. Right-click the image file you want to send to the device.

    4. Select Send To.

    5. Select Connected TI Device.

    6. Select Archive or RAM.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    48/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 44 www.ict-education.com.my

    To send an image file to the connected device using TI DeviceExplorer

    Caution: Do not disconnect a USB cable during a transfer.

    Deleting device applications

    Your handheld device has only a limited amount of memory available. Therefore, in

    order to install additional applications, you may have to delete one of your other

    applications to free up more memory.

    To delete an application from the TI-84 Plus or TI-84 Plus Silver Edition

    1. Press 2nd MEM to display the MEMORY menu.

    2. Select 2:Mem Mgmt/Del.

    3. Select A:Apps.

    4. Select the application you want to delete

    5. Press DEL.

    6. Select 2:Yes.

    TI-Interactive with the TI-84 Plus

    TI InterActive! is a user-friendly, interactive computer software program that enables

    school and college teachers and students to easily investigate ideas in mathematics

    and science. Teachers can enhance students learning through interactive lessons that

    encourage exploration, visualization, data analysis, and writing. TI InterActive! can

    help students master math and science concepts and improve problem-solving skills.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    49/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 45 www.ict-education.com.my

    Features

    Word processor with integrated math system

    TI graphing calculator functionality

    Symbolic Computer Algebra System

    Integrated Web browser

    Data editor with spreadsheet

    Calculator connectivity

    The Math Box

    1. Click the Math Box Button on TI-InterActive toolbar. An empty Math

    Box is inserted, accompanied by the TI Math Palette.

    2. Type your expression, for example, 2^8*43/12 into the Math Box. Press

    the Enter key or click enter on Math Palette to evaluate the expression. TI-

    InterActive creates another Math Box.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    50/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 46 www.ict-education.com.my

    The Math Palette

    The TI Math Palette resembles a

    calculator keyboard. If you prefer to

    use the mouse instead of the

    keyboard, you can click the buttons on

    to the palette.

    1. Click to the right and below the

    Math Box that you have already

    entered, and press Enter. This places

    the cursor at the end of the document.

    2. Click the Math Box button . An

    empty Math Box is inserted beneath

    the previous one.

    3. In the Math Palette, which opens

    automatically when you open a Math

    Box, you can type fraction, exponents

    and different roots, using the

    appropriate buttons.

    4. The light blue and green

    keys have hidden menus, click

    on the box in TI-InterActive and hold

    mouse down to see the hidden

    operations.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    51/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 47 www.ict-education.com.my

    Graphing Function

    Create a graph in a new document, or report in Ti-InterActive.

    1. On the Ti-InterActive toolbar, locate the Graph button and click the down

    arrow nest to it. A group of buttons is displayed, representing the available

    graph types.

    2. Click the Y= button. The Function editor is displayed along with the

    Graph Window.

    3. Click the Save to Document button , to insert graph in document

    Changing the maximum and minimum values on graph.

    1. Double clicking on the graph when it is in document will open the Function

    options, where you can use Zoom options or x and y axis field boxes to

    change size of the values.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    52/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 48 www.ict-education.com.my

    Data Analysis

    Enter statistical data using the List Editor.

    1. On the Ti-InterActive toolbar, click the List button . The List Editor is

    displayed, with the empty cell at the top of L1 already selected and ready for

    an entry.

    2. Type in the data, and then press the down arrow key on the computer

    keyboard to move to the next cell. Key in all data using the arrow keys.

    3. When all data is entered, click the close document button . The list will

    be inserted into a document.

    Viewing the plotted data.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    53/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 49 www.ict-education.com.my

    1. In the Graph window, select all the data to be included in your graph,

    then click the Zoom Statistics button . The viewing boundaries are

    adjusted automatically to show all the plotted points.

    2. Click Save to Document button to close the Graph window and insertthe graph in the document.

    Calculating a regression on the data.

    1. Ti-InterActive allows you to calculate several types of regressions on data

    stored in lists.

    2. Click the Stat Calculation button on the Ti-InterActive toolbar. The

    Statistics Regression Calculation tool is displayed.

    3. Click the down arrow next to the Calculation Type, scroll down the through

    the list, and click on the type you would like.

    4. In text box labeled X List: Type L1.

    5. In test box labeled Y List: Type L2.

    6. Click Calculate to calculate the regression equation and its variables.

    7. Click the Save Results button. Ti-InterActive stores the results in

    variables, and displays the selected results tin your document.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    54/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 50 www.ict-education.com.my

    Plotting the Regression

    1. With cursor positioned at end of the regression results, press Enter on the

    computer keyboard, type the heading Graphed regression equation, (or a

    title to you graph) and press enter again. (Hint: it is a good idea to separate

    graphs vertically on page, with several spaces.)

    2. On the TI-InterActive toolbar, click Graph button .

    3. Click the Plots tab.

    4. In the uppermost text box, type the name of your first set of data L1.

    5. In the second text box, type the name of your second set of data, L2.

    6. Press Enter on keyboard. (Check the check box at left if it not checked.)

    7. Select the f(x) tab.

    8. In the uppermost text box of the f(x), type regEQ(x) and then press Enter

    on the computer keyboard. TI-InterActive graphs the regression equation.

    9. Click the Zoom Statistics button in the Graph window to adjust the

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    55/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 51 www.ict-education.com.my

    viewing boundaries.

    10. Format the graph to show the relevant portion of the function.

    11. Click the Save to Document button to close the Graph window and

    insert the graph in the document. You can visually compare the plotted data

    and graphed regression equation.

    Connecting a Graphing Calculator

    You can connect a TI-84 Plus to your computer and export data to thecalculator or import data from the calculator.

    Connecting the calculator to your computer.

    1. The calculator needs to be connected to your computer, do this with a TI-

    Graph Link. These come in either gray or black, the link cord has a serial

    port either to connect to either port 1 or port 2 of your computer. Reboot

    your computer when connected and start TI-Interactive!.

    2. Click the Calculator Data Transfer button at the top of the browser

    window.

    3. Be sure your Communications Setting are correct... set type of calculator,type of graph link and port of computer.

    Capturing the calculator screen for a word processing document.

    1. Do the computations you need on your calculator.

    2. Put cursor on place in your document, where screen shot is to be inserted.

    3. With the calculator connected, click the Click the Insert Calculator Screen

    Button.4. The calculator screen should be inserted into your document.

    Importing data from calculator to Computer.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    56/57

    5 Special Features______________________________________________________________________________________________

    2006 STATWORKS (M) SDN BHD 52 www.ict-education.com.my

    1. With the calculator connected to the computer, Click the Calculator Data

    Transfer button at the top of the browser window.

    2. You can also drag-and-drop objects between the computer and calculator.

    If you drag to the computer, drop the objects on the applicable folder. If you

    drag to the calculator, drop the objects on the calculator name at the top of

    the calculator pane.

    3. If you have problems, use the help button on the bottom of the screen on

    the Calculator Data Transfer Screen.

  • 7/29/2019 Introductory to TI-84 Plus Graphing Calculator

    57/57

    References______________________________________________________________________________________________

    Acknowledgements

    This material has come from a variety of sources:

    Graphing Calculator Lab Manual to accompany Calculus: Modeling and Application

    by Lewis Blake, David Smith

    Samuel Morris and Lawrence Moore, Heath Publications, 1996; from Calculating

    on the TI-82 by Barry Kissane at wwwstaff.murdoch.edu.au/~kissane under

    Publications;

    Using the TI-83by M.J. Clark at www.eddept.wa.edu.au/graphcalc/sup;

    Integrating the Graphic Calculator into Year 9 and 10 NSW Mathematics Syllabus,

    T3 Australasia, 1998.

    The TI-83 Plus Web tutorial by Peter McIntyre, School of Mathematics and

    Statistics, University College (UNSW), Australian Defence Force Academy

    The TI-83 Plus User Guide Texas Instruments

    TI-Interactive Online - ACETTC, Richard Stockton College

    TI-Connect Online Help Texas Instruments