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32    Getting Started with TI InterActive! 

TII_GettingStarted.doc   Getting Started with TI InterActive!   Karen Davis   Revised: 8/22/03 12:20 PM   Printed: 8/25/03 8:04 AM   Page 32 of 64 

 

To find the zeros of the graphed function: 

1.   Double-click the graph you just created to activate the Graph 

window. 

2.   Click Calculate 

8

 Zero on the Graph toolbar. The Calculate 

Zero window is displayed. 

3.  You will need to set a lower limit, upper limit, and an initial 

guess before calculating zero.  

 

There are two ways to set limits.  

¦ 

You can enter numeric values in the limit entry boxes. 

¦ 

You can click and drag the dotted limit lines on the graph 
in the Graph window. 

4.  Type a value directly into the Guess box, or use the mouse to 

click and drag your guess point on the graph. 

5.  After setting the initial guess and upper and lower limits, 

click the Calculate button. The answer is displayed in the 
Results box. 

 

 

Finding zeros  
of a graphed 
function 

Содержание InterActive!

Страница 1: ...ith TI InterActive é Microsoft Windows Windows NT Abode Acrobat and Reader are trademarks of their respective owners TI InterActive contains Formula One from Visual Components Copyright 1994 1997 All rights reserved Exercise 5 data provided by Michael J Shepston Associates www scottsdalelaw com Copyright 2000 2001 2003 Texas Instruments Incorporated ...

Страница 2: ...s and makes such materials available solely on an as is basis In no event shall Texas Instruments be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of these materials and the sole and exclusive liability of Texas Instruments regardless of the form of action shall not exceed the purchase price of this product More...

Страница 3: ...18 Exercise 3 Creating a Function Graphing Assignment 27 Exercise 4 Creating a Report 33 Exercise 5 Analyzing Data from a Web Site 40 Exercise 6 Reviewing Miscellaneous Functions 46 Essential Skills for Using TI InterActive 50 Where Do I Go from Here 58 Texas Instruments TI Support and Service Information 59 Texas Instruments TI End User License Agreement 60 Index 62 Table of Contents Use the hand...

Страница 4: ... that cover necessary information while allowing exploration Homework that encourages learning You can build printed conventional assignments or live assignments in the form of TI InterActive files that students can complete and return Students can create Informative reports You or your teacher can create preformatted labs and other types of reports Attractive clear homework papers You can create ...

Страница 5: ...se the Internet features of TI InterActive your PC must have a working Internet connection To read the electronic documentation Acrobat Reader 3 02 or later is also required 16 MB disk space required To transfer programs and data between TI InterActive and a supported graphing handheld or to collect samples from a Calculator Based Laboratory CBL or Calculator Based Laboratory 2 CBL 2 or Calculator...

Страница 6: ... then press Enter on the computer keyboard Substitute the letter of your CD ROM drive if it is not D 4 Follow the installation instructions that are displayed When the installer has completed it returns you to the Windows desktop You might need to reboot the computer before using TI InterActive After completing the installation it s a good idea to start TI InterActive and test the connections that...

Страница 7: ...ange variable values Graphs functions and plots statistical data Transfers data to from a connected TI device Generates a table of values for defined functions Captures the screen of a connected TI device Enters and or edits lists of data Collects data from a CBL CBL 2 or CBR Enters and or edits matrices Browses the Web and extracts data directly from Web pages Performs typical spreadsheet operati...

Страница 8: ...te If you have problems completing this test verify that you are connected to an Internet Service Provider If you are on a local area network LAN check to ensure that you can access other areas of your network or server If you are using a dial up connection check to ensure that your modem is working properly Many Web sites contain a button or block of text that you can click to send an e mail mess...

Страница 9: ...nd send it When you receive the message the e mail test is complete If you have problems completing this test verify that you have an e mail client installed If you do not contact your Internet Service Provider for assistance From the menu click File 8 Exit When you exit TI InterActive you are prompted to save any unsaved changes that you have made Click the No button if you do not want to save th...

Страница 10: ...d use the Math Palette Use a Math Box object to perform simple calculations in a document Enter math and other special functions symbols Save a TI InterActive document Exercise 1 Performing Calculations in a Document You perform many calculations in TI InterActive documents by inserting a Math Box object Data that you store and functions that you define in a Math Box can be used by subsequent obje...

Страница 11: ...your document 2 Highlight the typed text and select a different font type and size from the font dialog box Format 8 Font 3 Place the cursor at the end of the line and press the Enter key on the computer keyboard to start a new line Suppose you want to evaluate an expression such as 28 43 12 and display both the expression and its result within the document 1 Click the Math Box button on the TI In...

Страница 12: ... retains the more precise form 2752à3 You can however change the form of any Math Box result by setting the Computation Mode of the box 1 Click anywhere in the existing Math Box to select it A solid border appears around the Math Box to show that it is selected 2 Click the Mode Settings button on the TI InterActive toolbar TIP Make sure you insert a Math Box for the expression TI InterActive canno...

Страница 13: ... that could be introduced by intermediate results in chained calculations Approximate All numeric results where possible are displayed in decimal form 3 Click the Approximate option to select it and click OK The result in the Math Box becomes a decimal approximation 4 Click the Mode Settings button again and change the Computation Mode back to Automatic the original setting and click OK This chart...

Страница 14: ...u 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 On the Math Palette click X ª µ d The entry looks like this 4 Click TI InterActive displays the result and presents a new empty Math Box ready to receive an entry 5 Press the Esc key on the computer keyboard to close the unuse...

Страница 15: ... result independently You can even hide the entry or its result Some of the properties you can control include The font size and color used for the entry or result Whether the result is displayed on the next line or the same line as the entry Whether the entry or result is displayed in text format such as x 2 4y or in math format such as x2 4y Whether the entry or result is shown or hidden You can...

Страница 16: ...ppearance of items in a Math Box Suppose you want to hide the expression or the result 1 Click the down arrow next to the default option in the Input box Click Hide Input 2 To hide the result click the down arrow next to the default option in the Output box Click Hide Output Changing the appearance of a Math Box TIP Once you evaluate the expression the Input and Output settings return to the defau...

Страница 17: ...nsion to identify its documents 1 On the TI InterActive toolbar click the Save button Because you have not yet saved this document TI InterActive displays the Save As dialog box 2 If necessary navigate to the folder where you want to store the document 3 In the File name box type a name such as first report for the document 4 Click Save Note You can also export a document to other formats Choose E...

Страница 18: ...ue to it Display a variable s value in a document Remove a variable Perform symbolic calculations Reposition TI InterActive objects in a document Reset all variables Exercise 2 Storing Values as Variables You can store a value as a named variable and then use the name to refer to that value in subsequent Math Boxes and graphs When TI InterActive evaluates an expression containing the name it subst...

Страница 19: ...pression 5 8 3 The result not the expression will be stored in num num 5 8 3 5 Press Enter on the computer keyboard TI InterActive creates the variable num and stores the result there You can check the value of a variable by entering its name as the entry in a subsequent Math Box 1 Click the Math Box button to insert a new Math Box if necessary 2 Type the variable name num and press Enter on the c...

Страница 20: ... 2 in the Math Box and press Enter TI InterActive substitutes 517 the value assigned to num and evaluates the expression 3 Type 4 25 nonum 2 in a Math Box and press Enter Because the variable nonum has not been defined it is treated algebraically in the result If you want to update a variable with the result of a calculation you must store the result explicitly Entry Result Comment a 2 2 a 3 8 Res...

Страница 21: ...hem with pairs of colons Only the result of the last expression is shown You can delete TI InterActive math objects such as Math Boxes lists and graphs and you can drag them to a different position on the page However deleting or moving an object can cause results to change in the objects that follow it That s because variables persist from one math object to another The physical positions of the ...

Страница 22: ... you edit a list or variable at the beginning of the document the change can ripple throughout the other math objects But if you change the value assigned to a variable at the end of the document the math objects that precede it are unaffected Math flow Effect of changing 4 to 3 at the end of the example Step 1 Step 2 Step 3 Effect of changing 4 to 3 at the beginning of the example ...

Страница 23: ... includes Greek letters but not p accented letters and international letters Do not use spaces The first character cannot be a digit Can use either uppercase or lowercase letters The names AB22 Ab22 aB22 and ab22 all refer to the same variable Cannot be the same as a preassigned name Preassigned names include Built in functions such as abs For a list of functions refer to the Functions and Instruc...

Страница 24: ...o Starts with a digit TI InterActive automatically stores the last calculated result as a system variable named ans You can use ans in the next Math Box to create a chain of calculations For example calculate the area of a garden plot that is 1 7 meters by 4 2 meters Then calculate the yield per square meter if the plot produces a total of 147 tomatoes 1 In a new Math Box type 1 7 4 2 and press En...

Страница 25: ... on the computer keyboard 2 Type ans 2 log 45 and press Enter on the computer keyboard The button on the Math Palette recalls the last entry you evaluated and places it in the entry line You can take advantage of this feature when you need to repeatedly evaluate an expression that updates a variable For example using a variable find the square of 1 2 3 4 etc 1 Set the variable s initial value Pres...

Страница 26: ...d doc Getting Started with TI InterActive Karen Davis Revised 8 22 03 12 20 PM Printed 8 25 03 8 04 AM Page 26 of 64 3 Repeatedly click the button on the Math Palette and press Enter on the computer keyboard to increment the variable and calculate its square ...

Страница 27: ...fine a function graph in a TI InterActive document Resize a graph Copy and paste a graph Zoom in on a portion of the graph Find zeros of a graphed function Exercise 3 Creating a Function Graphing Assignment In this exercise you create an interactive homework assignment for electronic distribution Recipients can open their copy of the document in TI InterActive and use the graphing features to comp...

Страница 28: ...he Enter key on the computer keyboard after each line 4 Press Enter again to leave a blank line after the title 1 Click the down arrow next to the text size and click 10 as the size for the document s normal text 2 Type Here s a graph of the function y sin x and press Enter on the computer keyboard 3 On the TI InterActive toolbar locate the Graph button and click the down arrow next to it A group ...

Страница 29: ...uppermost text box of the Y tab type sin x and then press Enter on the computer keyboard TI InterActive graphs the function 6 Click the Save To Document button in the Graph window to insert the graph into the document 1 Click the graph in the document A selection box appears around the graph to show that it is selected TIP You can define many functions and choose to graph selected ones Clear the c...

Страница 30: ... the cursor is positioned at the end of the document 2 Type the paragraph from page 27 that begins with Zooming in on the right side and press Enter on the computer keyboard 3 Click the graph that you inserted earlier A selection box appears around the graph to show that it is selected 4 On the main toolbar click the Copy button to copy the selected graph to the clipboard 5 Click below the Zooming...

Страница 31: ... and drag the Zoom Box over the right half of the graph Your selection should resemble the graph below 4 Click the Save To Document button to insert the graph into the document 1 Click beneath the graph and press Enter on the computer keyboard to position the cursor at the end of the document 2 Type the last two paragraphs from page 27 that begin with Double click the above graph and press Enter o...

Страница 32: ...indow is displayed 3 You will need to set a lower limit upper limit and an initial guess before calculating zero There are two ways to set limits You can enter numeric values in the limit entry boxes You can click and drag the dotted limit lines on the graph in the Graph window 4 Type a value directly into the Guess box or use the mouse to click and drag your guess point on the graph 5 After setti...

Страница 33: ...data using the List Editor View plotted data Calculate a regression and display the results Graph a regression and analyze the data Exercise 4 Creating a Report In this exercise you create a report based on observed data for a specific airplane s power off glide performance at several speeds You then plot the data perform a statistics regression and estimate the speed that will produce the minimum...

Страница 34: ...r click the List button The List Editor is displayed with the empty cell at the top of list L1 selected and ready for an entry 2 Type the first airspeed 30 and then press the down arrow key on the computer keyboard to move to the next cell 3 Type the next airspeed press the down arrow key and continue until you have entered all the airspeeds into L1 4 Click the empty cell at the top of list L2 5 T...

Страница 35: ...buttons is displayed representing the available graph types 3 Click the Scatter Plot button The Functions editor is displayed along with a Graph window 4 Make sure that the Stat Plots tab is selected 5 In the uppermost text box type L1 to specify it as the list containing the x coordinates 6 Press the Tab key to move to the second text box and type L2 to specify it as the list containing the y coo...

Страница 36: ...ulate several types of regressions on data stored in lists In this exercise you calculate a quartic regression on the plotted pairs of airspeeds L1 and sink rates L2 1 Position the cursor between the list and the graph and press Enter on the computer keyboard 2 Click the Stat Calculation Tool button on the TI InterActive toolbar The Statistics Calculation tool is displayed 3 Click the down arrow n...

Страница 37: ...d displays the selected results in your document 1 With the cursor positioned at the end of the regression results press Enter on the computer keyboard to move the cursor to the next line Type the heading Graphed regression equation and then press Enter again 2 Double click the graph that you inserted earlier 3 Click the f x tab 4 In the uppermost text box of the f x tab type regEQ x and then pres...

Страница 38: ...e 7 Click the Save To Document button in the Graph window to insert the graph into the document TI InterActive can find the minimum value of a function between specified starting and ending x values For our data the lowest point on the function marks the speed that produces the plane s slowest rate of sink 1 Double click the graph you just created to activate the Graph window 2 In the Graph window...

Страница 39: ...limit entry boxes or you can click and drag the limit lines on the graph 4 Click Calculate to find the minimum x and y values 5 Type the following sentence to complete your report The plane s minimum sink glide speed should be around 36 mph at 531 ft min Note This is the glide speed that will keep the plane aloft for the longest period of time However it is not the speed that produces the greatest...

Страница 40: ...nd calculate a regression Display the plotted data and the regression equation together for visual comparison Exercise 5 Analyzing Data from a Web Site You can extract data directly from a Web page into a TI InterActive document This exercise is similar to the previous one except that in this case you extract automobile braking distance data from a Web page and analyze it Data provided by Michael ...

Страница 41: ...ton TI InterActive displays a new blank document 2 Type the title Effect of Speed on Braking Distance at the top of the page and press Enter on the computer keyboard 3 Type the heading Data extracted from braking htm and press Enter on the computer keyboard 4 Click the Web Browser button The TI InterActive browser opens 5 On the browser s menu click File 8 Open 6 If necessary navigate to the folde...

Страница 42: ... into the document Adjust the list screen to view all columns of data Now that you have the braking distance data copied into lists you can create a scatter plot of the speeds x against the total stopping distances y 1 With the cursor positioned at the end of the list press Enter on the keyboard type Plotted data and then press Enter again to create a heading for the regression results 2 On the TI...

Страница 43: ...ck the Zoom Statistics button in the Graph window to adjust the viewing boundaries 8 Click the Save To Document button to close the Graph window and insert the graph in the document 1 With the cursor positioned at the end of the graph press Enter on the computer keyboard type the heading Stat regression results and then press Enter again 2 Click the Stat Calculation button on the TI InterActive to...

Страница 44: ...the end of the regression results press Enter on the computer keyboard type the heading Graphed regression equation and then press Enter again 2 On the TI InterActive toolbar click the Scatter Plot button 3 Click the Stat Plots tab 4 In the uppermost text box type FeetperSecond 5 In the second text box type TotalDistance 6 Press Enter on the computer keyboard If it is not already checked click the...

Страница 45: ... of the function You may note that the function continues in the third quadrant but only positive values are relevant 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 the graphed regression equation TIP To format this graph click Format Change Xmin to 0 Xmax to 100 Ymin to 0 Ymax to 300 Xscale to 10 an...

Страница 46: ...an image into a TI InterActive document Set text wrapping options for an inserted object Set your preferences for TI InterActive Print a TI InterActive document Exercise 6 Reviewing Miscellaneous Functions TI InterActive includes several features that can enhance the quality of the report or assignment In this exercise you insert images set special features for these images and print a TI InterAct...

Страница 47: ...n to start a new blank document 2 On the TI InterActive menu bar click Insert 8 Picture If necessary navigate to the folder containing the image you want to insert 3 Click the file name and then click the Open button to insert the image in the document If you prefer you can resize the images you insert in TI InterActive documents Resizing images in a TI InterActive document is similar to resizing ...

Страница 48: ...and press Enter 2 Click the picture A selection box appears around the picture to show that it is selected 3 On the TI InterActive menu bar click Edit 8 Object 8 Format The Object Format dialog box is displayed with its default values 4 In the box labeled Flow select the desired option and click OK If you select one of the two Floating options the distance between the image and the text can be mod...

Страница 49: ... output In older versions of TI InterActive you also set communications preferences for the settings used to link to a connected device type of device port and cable In this version the auto detect feature determines the settings automatically So you no longer need to set communications preferences Printing in TI InterActive is similar to most word processors You can also set several printing opti...

Страница 50: ...nd updated TI InterActive objects include the Math Box Graph List Editor Spreadsheet etc Interactive objects Refers to the fact that most TI InterActive objects share data so that updating one object may automatically cause subsequent objects to be updated Integrated math system The math system contains key tools and capabilities that work together dynamically so that the use of multiple programs ...

Страница 51: ...xpressions Graph Graph rectangular polar and parametric functions plot lists Table Perform numerical evaluations of functions List Create and edit lists similar to lists on the device Matrix Create and edit matrices Spreadsheet Compute values in a spreadsheet Stat Calculation Tool Calculate a statistics regression of a data set Stat Tests Intervals Tool Perform statistical tests and intervals Slid...

Страница 52: ... document Look for the Save To Document item under the File menu in each component A corresponding icon is also available The icon is usually positioned in the leftmost position of the toolbar for the various object editors For example is the Save To Document icon for the List Editor You might want to open an object so you can view or change the contents of the object There are three ways to open ...

Страница 53: ...it may be because there isn t an empty space or sufficient room Since objects are inserted into the document as characters there must be an empty space with sufficient room in which to place the object Empty spaces are found next to existing objects or text and on empty lines Sometimes it may appear that there is an empty line at the end of the document when there is not There are two ways to dele...

Страница 54: ...th text or other inline objects flowing around it Floating with text top bottom Causes the object to float on the page with text or another inline object above and below it Inline with text Floating with text around Floating with text top bottom To move a floating object drag the object with the mouse to the desired location For additional control select the object and use the arrow keys on the co...

Страница 55: ... the left of other objects evaluation points are evaluated first Subsequent objects are evaluated in this spatial order until all objects in the document are evaluated This evaluation occurs many times during the course of creating or editing a document The example below illustrates the importance of the math evaluation order Document 1 Document 2 In Document 1 a is defined as 20 and 30 in consecu...

Страница 56: ...the object For the Math Box graph and matrix the evaluation point is located at the bottom right corner To view the evaluation points in a document select the View 8 Nonprinting Characters menu option A small dot displayed on the object indicates its evaluation point It is important to review the default preferences when you first install TI InterActive This will help you understand the results th...

Страница 57: ...2 20 PM Printed 8 25 03 8 04 AM Page 57 of 64 The Catalog found in the Math Palette includes information and examples for every TI InterActive math command To open it select the Catalog icon or select Tools 8 Command Catalog on the Math Palette Click the Details button to see examples for the selected command Using the catalog ...

Страница 58: ... or transferring data between TI InterActive and a connected device Linking to a Graphing Handheld CBL CBL 2 or CBR Collecting samples from a connected CBL CBL 2 or CBR data collection tool Linking to a Graphing Handheld CBL CBL 2 or CBR Collecting and plotting Quick Data lists Extracting data from a Web page Web Browser Extracting data from a web page Inserting a link to a Web page into a TI Inte...

Страница 59: ...l Information education ti com support Click the International Information link KnowledgeBase and Support by E mail education ti com support Phone not toll free 972 917 8324 Customers in the US Canada Mexico Puerto Rico and Virgin Islands Always contact TI Customer Support before returning a product for service All other customers Refer to the leaflet enclosed with this product hardware or contact...

Страница 60: ...ed herein or in the documentation you may not duplicate such documentation In cases where TI supplies the related documentation electronically you may print the same number of copies of the documentation as the number of computers specified for the license fee you paid All the computers on which the Program is used must be located at a single Site Each member of the institution faculty may also us...

Страница 61: ...he export and re export of United States original software and documentation is subject to the Export Administration Act of 1969 as amended Compliance with such regulations is your responsibility You agree that you do not intend to nor will you directly or indirectly export re export or transmit the Program or technical data to any country to which such export re export or transmission is restrict...

Страница 62: ...ing objects 54 inline with text 54 with text around 54 with text top and bottom 54 Font 11 15 17 28 49 Function 7 10 13 15 21 23 24 27 28 29 35 38 42 45 46 58 Graph 4 10 18 21 27 28 29 30 31 32 35 36 37 38 39 42 43 44 45 58 inserting objects 47 51 installing TI InterActive 6 Internet 4 5 8 9 41 Internet Explorer 5 landscape 49 List 7 15 21 22 23 33 34 35 36 37 42 43 58 List Editor 49 50 52 56 Math...

Страница 63: ...3 44 45 resizing objects 47 53 Save 10 17 29 31 36 37 38 42 43 44 45 saving objects 52 Scatter Plot 35 42 Screen Capture 49 setting preferences 49 56 Stat Calculation 37 43 Stat Plots 35 43 44 Statistics 33 58 support and service 59 supported file types 47 system requirements 5 Table 3 49 Text wrapping 46 48 TI Connect 5 TI Connectivity Cable 5 toolbar 7 8 11 12 17 19 28 30 31 32 34 35 36 41 42 43...

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