Texas Instruments TI-83 Plus Software Manual

Software application for the ti-83 plus

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Manual (188 pages)

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Page 2: Fundamental Topics In Science
Fundamental Topics in Science Software Application for the TI-83 Plus Student and Teacher Classroom Materials...
Page 3: Important Information
Important Information Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials 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...
Page 4 If the Program was delivered to you over the Internet and you do not agree with the terms of this license do not install or use the Program and contact TI for instructions on obtaining a refund of any license fee paid.
Page 5: Table Of Contents
Introduction to Fundamental Topics in Science Note to Teachers National Science Education Standards Organization of Fundamental Topics in Science • • Try-It! on Your TI 83 Plus Installing this Application Deleting an Application Navigating Fundamental Topics in Science Starting the Application...
Page 6: Introduction To Fundamental Topics In Science
Introduction to Fundamental Topics in Science Note to Teachers Welcome to the Fundamental Topics in Science software application for the TI application and Classroom Materials were designed to help students review and reinforce selected concepts taught in Science. Fundamental Topics in Science is easy to use, even for inexperienced calculator users, and it encourages students to explore concepts on their own.
Page 7: Organization Of Fundamental Topics In Science
These activities help students learn features of the TI application, which is accessible from the The TI 83 Plus features are described more fully in the TI 83 Plus guidebook. The application is described more fully in the TI 83 Plus Science Tools user guide. TOOLS Note: The international version of SCIENCE TOOLS is not accessible from the SCIENCE CHAPTERS menu;...
Page 8: Deleting An Application
You must delete applications and/or archived variables (see below). Deleting an Application Deleting an application completely removes the application from the TI becomes available for a different application. The deleted application may be reloaded at a later date. Before deleting an application from the TI Link >...
Page 9: Navigating Fundamental Topics In Science
Navigating Fundamental Topics in Science Starting the Application 1. Press to display the 2. Select . The FunSci FUNDAMENTAL TOPICS IN SCIENCE 3. Press any key to start the application. A Table of Contents screen is displayed. It is the Table of Contents from which you last exited FUNDAMENTAL TOPICS Ã...
Page 10: Leaving The Application
A horizontal menu may be displayed at the bottom of the screen. The menu items help you move between screens in the application. The menu items change from one screen to another. To select a menu item, press the calculator key that corresponds to the menu item on the screen. Horizontal menu &...
Page 11: Navigation Star
Navigation Star The navigation star is located on the bottom right of many screens. When the right and left arrows of the navigation star are flashing, press calculator to page back and forward between screens. menus (see below). ÃCONTÄ Ã...
Page 12: Try-It! On Your Ti
(data more than 1.5 times the difference between the third quartile [Q3] and the first quartile [Q1] ) as points rather than as part of the box. Fundamental Topics in Science _ Try-It!™ on Your TI83 Plus Press Ã Ä EXIT 1:Edit...
Page 13 2. On the Y= screen, if any of the equations are selected (highlighted), turn them off. Note: On the TI 83 Plus, the graph screen displays both graphs and stat plots, which is why you should turn off any graphing equations.
Page 14 Section 1: Scientific Method Calculate statistical variables In addition to examining data graphically, the TI There are individual commands on the the mean, median, standard deviation, and minimum of a list. The menu calculates and displays all the statistics at once.
Page 15: 83 Plus
Enter or edit data. Note: The DATA/GRAPHS WIZARD the list feature of the TI used above. If you had not already entered the data into lists, you could do so now. Define the statistical plots as histograms with the Data/Graphs Wizard Plot the heart rates as histograms.
Page 16 Section 1: Scientific Method Define the statistical plots as histograms with the Data/Graphs Wizard (cont.) To Do This Trace the values to analyze the data. Plot and trace a histogram for the girls. What do you learn about heart-rate samples based on the histogram for the boys? For the girls? Calculate the statistical variables with the Data/Graphs Wizard Calculate the statistics for the girls.
Page 17: Teacher Notes
1: Scientific Method Objectives Upon completion of this section, students should be able to: Give a reasonable definition of science. Describe a process (a “scientific method”) for conducting scientific investigation that includes: observing a phenomenon, creating a testable statement (hypothesis) regarding the phenomenon, designing a test of the hypothesis, generalizing the test findings, and communicating the test results.
Page 18 Using the Fundamental Topics in Science Application To begin the application, press Contents page shows the last place the student was in . The student may need to press TOOLS Table of Contents and then select to begin. You may need to tell students how to navigate the application, if they 1:INTRODUCTION are not yet familiar with it, or print Navigating Fundamental Topics in Science on pages viii–x of the Introduction.
Page 19 Activity—Variations in Human Heart Rate In this section, students write a statement corresponding to each of the five steps in the scientific investigation process outlined in written form is an integral part of scientific investigation. It is important that students learn that proper scientific investigations require discipline in the descriptions and testing.
Page 20 Activity—Variations in Human Heart Rate (cont.) Generalize. After entering the pulse rates and viewing the results, students are asked to state the test conclusions, and then generalize about the effect of gender on heart rate. In a screen, each student is asked to: DOWN State the conclusions he or she can draw from the findings.
Page 21 Note: The calculator features are described more fully in the TI 83 Plus guidebook. The is described more fully in the TI 83 Plus Science Tools user guide.
Page 22: Plus
Number of significant figures 118.6 127.308 122.4 124.2 121.0 126.5 123.084 Fundamental Topics in Science _ Try-It!™ on Your TI83 Plus 124.2 first to determine the number of significant SCIENCE TOOLS Press menu. If necessary, exit FunSci SCIENCE SCIENCE Select SciTools...
Page 23 Enter the data You can use the list and statistical features of your TI 83 Plus to help you determine how precise and how accurate this set of measurements is. In the list editor, enter measurements in list four significant figures.
Page 24 Enter the first data point. Repeat for the other points. Remember to enter four significant figures. Notice that even if you correctly enter 120.0 , the calculator drops the decimal and the following zero. Fundamental Topics in Science Name Date 118.6...
Page 25 Section 2: Precision & Accuracy Calculate the average Determine the average (mean) of these measurements. To Do This Return to the home screen. Copy the mean( function from the LIST MATH menu to the home screen. You can reference all of the values in a list with the list name.
Page 26 You can express the accuracy in terms of percent error. (accepted value percent error = Use your TI 83 Plus to calculate the percent error. To Do This Calculate the percent error. Parentheses are very important for correctly grouping numbers in calculators.
Page 27 Standard deviation is an excellent indicator of the precision of measurements. Range (the difference between the maximum and minimum measurements) also shows precision. Use your TI 83 Plus to calculate the standard deviation and range of this set of measurements. To Do This...
Page 28: Teacher Notes
Students do not understand, nor correctly apply, the terms precision and accuracy. Students assume values are of unlimited accuracy and precision, regardless of source (measurement, textbook problems, computer or calculator displayed results). Emphasize that all measurements introduce error, but quality instruments and good operator practices can minimize such error.
Page 29 Introduction This section explores the meanings of the terms precise and accurate. Notice the analogy of precision and accuracy of measurements to that of three sets of soccer kicks. Point out that: High precision results in closely grouped, repeatable values (but not necessarily near the accepted standard).
Page 30 Activity—The Big Sig-Fig Dig This activity gives students practice in identifying which digits in a value are significant. For each underlined digit, students select significant. They earn 10 points for each correct answer, up to a maximum of 410. Tell students if you wish them to record their scores and if they can repeat the activity to improve their scores.
Page 31 MENU can suggest that he or she select _ Try-It!™ on Your TI83 Plus Point out the difficulty caused by the measurements that were not recorded to the specified four significant figures. As a result, rounding and assumptions must be made. Discuss with students which measurements had too many significant figures and which had too few.
Page 32 SCIENCE CHAPTERS Standard deviation is an excellent indicator of the precision of measurements. Range is another way of evaluating how precise a measurement is. Students use the TI 83 Plus to make these calculations. Standard deviation =...
Page 33: Plus
Return to the home screen and re-evaluate the expression. The result appears in Eng (engineering) format. Fundamental Topics in Science _ Try-It!™ on Your TI83 Plus on the home screen and display the result in all 123.456+7.89 ), Scientific Notation ( Normal Press Ã...
Page 34 They do not affect how values are entered or interpreted, nor do they affect the value of the result in the calculator memory. Notation formats in the SIG-FIG calculator Enter the mixed-format problem result in all decimal and scientific notation formats.
Page 35 Section 3: Scientific Notation Notation formats in the SIG-FIG CALCULATOR (cont.) To Do This If necessary, change the result mode to decimal. Enter the expression 123.456+7.89 Evaluate the expression. The format of the entry lines are changed to decimal notation. The...
Page 36: Teacher Notes
3: Scientific Notation Objectives Upon completion of this section, students should be able to: Given a number in scientific notation, express it in standard decimal form. Given a number in standard decimal form, express it in scientific notation. Perform addition and subtraction with numbers expressed in scientific notation. Perform multiplication and division with numbers expressed in scientific notation.
Page 37 The standard form for scientific notation is given. Then, the process of conversion from standard decimal notation to scientific notation is modeled, with an example, to demonstrate the process. The calculator representation of scientific notation is shown. Finally, the four basic arithmetic operations for numbers expressed in scientific notation are shown, step by step.
Page 38 Note: The calculator features are described more fully in the TI 83 Plus guidebook. The is described more fully in the TI 83 Plus Science Tools user guide.
Page 39: Plus
Return to Science Tools and display UNIT CONVERTER To determine the number of seconds in a year, display the screen. Fundamental Topics in Science _ Try-It!™ on Your TI83 Plus m/s. Distance = speed " time. Press Ã EXIT menu.
Page 40 11. Return to the home screen and evaluate the expression to determine the number of meters that light travels in a light-year. Note: The TI 83 Plus displays very large and very small numbers in scientific notation, even if the display setting is Normal.
Page 41: Teacher Notes
4: Units & Conversions Objectives Upon completion of this section, students should be able to: Recognize the seven SI base units and several common derived units. Perform conversions using various SI prefixes. Perform conversions other than SI. Use dimensional analysis to help understand relationships among physical quantities and their units.
Page 42 Section 4: Units & Conversions Introduction This section begins by exploring the idea that it is meaningless to describe a physical quantity without including its associated unit of measurement. Two examples are given. Concepts This section addresses the idea of standard measuring systems and introduces the SI measurement system.
Page 43 Concepts (cont.) An example is presented showing how to convert numbers from one unit to another. The same process (the factor-label method) applies to any conversion, whether or not SI prefixes are involved. The concept of dimensional analysis is presented, with several examples. In addition to the examples given, you may wish to use several others to illustrate the use of dimensional analysis in predicting or verifying relationships.
Page 44 Activity—Dimensions This activity provides students with practice in dimensional analysis. Seven problems are presented (the order varies each time). Students press Ã Ä , Ã Ä , Ã correct answer on the first try, 10 points on the second try, up to a maximum of 140 points. Tell students if you wish them to record their scores and if they can repeat the activity to improve their scores.
Page 45 Space is provided for written answers on the • Try-It! sheets, but if the students are keeping journals, you may wish to direct them to record their responses in their journals instead. Note: The application is described more fully in the TI 83 Plus Science Tools user guide. SCIENCE TOOLS Extension Have the students express the average distance from the earth to the sun (1.50 4 10...
Page 46: Plus
DATA/GRAPHS WIZARD screen. Select the option for Note: The DATA/GRAPHS WIZARD the list feature of the TI calculator has named lists in the editor, you may have to press Clear each list as necessary. Scroll to L Fundamental Topics in Science _ Try-It!™...
Page 47 Section 5: Data & Graphs Enter population information into lists with the Data/Graphs Wizard (cont.) To Do This Enter the years into L Enter the population into L Plot the data To Do This Display the DATA/GRAPHS WIZARD screen. Select .
Page 48 WIZARD number of elements as the independent list (including the independent list). Trying to plot empty lists or lists of unequal length would cause a calculator error. When you select the dependent list, the plot displays immediately in an appropriate graphing window.
Page 49 Obviously, “perfect fit” equations aren’t very practical and often don’t do a good job of predicting (extrapolating) other data. Therefore, a best-fit curve is often used. Choosing a best-fit curve with the TI 83 Plus requires these basic steps. You choose a function with a shape that looks similar to the data (beginning with the simpler curves).
Page 50 1, the better. Note: The Fundamental Topics in Science application resets the statistical variables. In order to complete this exercise, you must run the Science Tools application by selecting it from the APPS menu on the TI of selecting it from the...
Page 51 Section 5: Data & Graphs Fit a logistic curve to the data and analyze visually Repeat the steps above for the logistic regression. (This regression takes a while to plot; be patient.) Neither visual analysis. You can change the viewing window and trace the function to determine the predicted value in 200 years (the year 2200).
Page 52: Teacher Notes
5: Data & Graphs Objectives Upon completion of this section, students should be able to: Enter one or more related sets of data into tables or lists. Plot and interpret sets of data using one or more plot types (scatter plot, xy-line, histogram, modified box plot).
Page 53 Section 5: Data & Graphs Introduction This section introduces the idea that data is everywhere, and that we need to organize data in order to make sense of it. Tables and graphs are powerful tools for representing data in an organized, visual, and concise manner.
Page 54 Section 5: Data & Graphs Concepts (cont.) The concept of using a table and/or graph to predict values between and beyond observation points by visualizing a line connecting the points is presented. Students explore the effect of varying each of the coefficients in the equations that define seven common function types (linear, quadratic, logarithmic, exponential, power, logistic, sinusoidal).
Page 55 Activity—Name that Function After each problem, students can select select to return to the MENU that he or she select MENU during the entire activity. The score displays after the activity is over; the student can press any key to return to the ACTIVITIES Activity—Dangerous Curves Ahead This activity provides students with practice in matching data pairs with common functions.
Page 56: Plus
Note: The calculator features are described more fully in the TI 83 Plus guidebook. The is described more fully in the TI 83 Plus Science Tools user guide.
Page 57 Enter a second vector, the current. Note: Angles in the fourth and third quadrants are designated as 180. Fundamental Topics in Science _ Try-It!™ on Your TI83 Plus to explore the same problem. Press menu. If necessary, exit FunSci ¯...
Page 58 Section 6: Vectors Add vectors in the Vector Calculator To Do This Select vector math. The vector is displayed. Pick this vector. The keys change to the four basic math functions. Select addition. The vector is displayed again. Go to vector Pick this vector.
Page 59 A plane heads due south with indicated airspeed of 500 kilometers per hour. The plane’s actual course and speed are 5 degrees west of south at 510 kilometers per hour. Sketch the vectors and find the wind velocity. Show your work. Define vectors in the Vector Calculator Now use the VECTOR CALCULATOR To Do This Leave vector math.
Page 60 Section 6: Vectors Subtract vectors in the Vector Calculator To Do This Select vector math. The vector is displayed. Go to Indicate minus Complete the calculation. The resultant vector (the wind velocity) is displayed and stored in . Notice that the zoom factor is adjusted to fit the vector in the window.
Page 61: Teacher Notes
6: Vectors Objectives Upon completion of this section, students should be able to: Draw a vector in the X-Y plane given magnitude and direction (specified in degrees or cardinal directions: North, South, East, or West). Resolve vectors into perpendicular components. Add and subtract two or more vectors.
Page 62 Concepts Students explore basic vector operations. Definitions and graphical examples are provided for: Resultant of vector addition Subtraction Multiplication Resolution of a vector into two perpendicular components Note: Numeric examples round the results to the appropriate number of significant figures. Students can review significant figures in PRECISION &...
Page 63 Try-It! sheets, but if the students are keeping journals, you may wish to direct them to record their responses in their journals instead. Note: The application is described more fully in the TI 83 Plus Science Tools user guide. SCIENCE TOOLS Fundamental Topics in Science ©...
Page 64: Tip 1: Resetting Your Calculator
Resetting defaults does not erase any lists, programs, or variables stored in memory. Note: You should reset your calculator’s default settings to ensure that the results you see on your calculator will match the results in all example screens in the TIps.
Page 65 After you become familiar with your calculator, it will not be necessary to reset it every time because you will know how you have changed the settings, and you will understand the results the calculator displays in light of those changes.
Page 66: Tip 2: Adjusting Your Calculator Settings
, as necessary, to highlight the setting you want to select. 3. Press to select it. Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator. Fundamental Topics in Science •...
Page 67 _ Try-It!Ë on Your TI83 Plus Change a Mode Setting Change the mode setting so that results display to 2 decimal places. To Do This 1. Display the mode settings screen. 2. Change the decimal notation setting from Float 3. Press...
Page 68 _ Try-It!Ë on Your TI83 Plus Change a Window Format Setting To display a grid on the graph screen, select To Do This 1. Display the window format screen. 2. Change the grid setting from GridOn 3. Show the graph screen. Notice both the grid and axes are on.
Page 69: Tip 3: Graphing A Function In The Standard Window
For more information on adjusting window settings on the Viewing Window. Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator. •...
Page 70 _ Try-It!Ë on Your TI83 Plus Enter the Function Enter y = 2x + 3 as =2X+3 To Do This 1. Enter the Y= editor. 2. Clear and enter the function, Note: The equal sign next to the function is highlighted.
Page 71 _ Try-It!Ë on Your TI83 Plus Trace the Graph Trace the ( ) values for Y1=2X+3 To Do This 1. Enter trace mode. 2. Trace the ( ) values along the graph. values display at the bottom of the screen.
Page 72: Tip 4: Creating A Table
(X) or dependent (Y) variable values. For more information about table settings, see the calculator guidebook. Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator.
Page 73 • Try-It!Ë on Your TI83 Plus Enter the Function Enter in the Y= editor ( =2X+3 Window for step-by-step instructions for defining functions. Your Y= editor should look like this. Change the Table Settings Define the following settings for your table: To Do This 1.
Page 74 • Try-It!Ë on Your TI83 Plus Display the Table Display the table for =2X+3 To Do This 1. Display the table. 2. Scroll through the table values with the arrow keys. Note: Notice that when you press the top of the Y...
Page 75: Tip 5: Adjusting The Viewing Window
In the example that follows, you see how to change window ( perspective of the graph of Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator .
Page 76 _ Try-It!Ë on Your TI83 Plus Enter the Function Enter in the Y= editor ( =50X for step-by-step instructions for defining functions. Your Y= editor should look like this. Display the Function on the Graph Screen Note: The window values shown here are the default window values, also equivalent to ZStandard ( To Do This 1.
Page 77 _ Try-It!Ë on Your TI83 Plus Define a Different Viewing Window for Your Graph Notice in the table that when by 50 each time increases by 1, you can set the window to see the graph for this domain and range by changing the window values.
Page 78 _ Try-It!Ë on Your TI83 Plus Using ZDecimal—the Friendly Window Display and trace the graph values by tenths (.1, .2, .3, …). Multiply Xmin Xmax Xscl function. This lets you trace the To Do This 1. Turn off the graph and table of...
Page 79 . It also creates one blank list after Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator . Fundamental Topics in Science...
Page 80: Tip 6: Using Lists
_ Try-It!Ë on Your TI83 Plus Set Up the List Editor Use the commands ClearAllLists To Do This 1. Display the list editor. Note: Your list editor may vary. The following commands will clear and set up lists L1 through L6 in your list editor.
Page 81 _ Try-It!Ë on Your TI83 Plus Enter the Lists In the list editor, enter Jamal’s scores as ={85,70,75,95,100} To Do This 1. Enter data into 2. Enter data into Fundamental Topics in Science (continued) and Jian’s scores as ={80,85,90,75,85} Press "...
Page 82 _ Try-It!Ë on Your TI83 Plus Display the Sum and Average of All Elements in a List On the Home screen, find the sum of Jian’s test scores ( To Do This 1. Return to the Home screen and clear the current line, if needed.
Page 83 _ Try-It!Ë on Your TI83 Plus Find the Mean and Median of a Set of Data On the Home screen, find the mean and median of Jamal’s test scores ( To Do This 1. Return to the Home screen and clear the current line, if needed.
Page 84 _ Try-It!Ë on Your TI83 Plus On Your Own Calculate the 1-variable statistics analysis for screen. Use the arrow keys ( Select the command from the 1-Var Stats Hint: Select the 1-Var Stats command first, and then select L1. For more information about guidebook.
Page 85: Tip 7: Creating A Statistical Plot
It also displays the values ( statistical plot options, see the calculator guidebook. Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator. Fundamental Topics in Science...
Page 86 _ Try-It!Ë on Your TI83 Plus You have collected the measurements (in inches) of how far a boy from age 5 to age 14 could throw a ball above his head. The following data was recorded. Create a scatter plot (...
Page 87 _ Try-It!Ë on Your TI83 Plus Display the Statistical Plot on the Graph Screen Display the statistical plot on the graph screen using the To Do This 1. Select from the ZoomStat menu. 2. Trace along the statistical plot. Note: P1:L...
Page 88 A, B, C, D, and F. Hint: Remember that if you have functions defined and turned on in the Y= editor, the calculator graphs these at the same time as the stat plot. To turn off a function, highlight the = sign next to it, and then press You can also select FnOff to turn off all functions.
Page 89: Tip 8: Finding The Best Line Of Fit For A Set Of Data
3. Save the equation in the Y= editor. 4. Graph the statistical plot and the linear regression. Note: The examples in the next section assume that the calculator has been reset to the default settings as described in TIp 1: Resetting Your Calculator.
Page 90 _ Try-It!Ë on Your TI83 Plus You have collected the measurements (in inches) of how far a boy could throw a ball above his head from age 5 to age 14. The following data was recorded. Create a scatter (...
Page 91 _ Try-It!Ë on Your TI83 Plus Find the Linear Regression for the Scatter Plot Find the regression (the line which best fits the data) for To Do This 1. Return to the Home screen, and clear 2. Select from the LinReg(ax+b) menu.
Page 92 _ Try-It!Ë on Your TI83 Plus Graph the Statistical Plot and the Linear Regression Graph and trace the statistical plot and linear regression at the same time and compare them. To Do This 1. Select the function to ZoomStat display the statistical plot and the regression on the graph screen at the same time.
Page 93: Tip 9: Sending And Receiving Data Between Calculators
You can send and receive data between calculators using the To connect two calculators using the unit-to-unit cable, which comes packaged with your calculator, use the I/O (input/output) port located at the center of the bottom edge of the calculator.
Page 94 2. Select the type of data (for example, lists) that you want to send. The corresponding screen is displayed. Each Note: The All+ menu item selects all items on your calculator that can be transmitted. The All- menu item deselects all items that you have selected to transmit.
Page 95 _ Try-It!Ë on Your TI83 Plus Transfer from one calculator to another one. Use • TIp 6: Using Lists. ={80 ={85 100} To Do This 1. On the sending calculator, enter the lists above in the list editor. 2. Link the two calculators using the unit-to-unit cable.
Page 96 Done , is displayed on both calculators. On Your Own • Enter a function in the Y= editor and send it to another calculator. Fundamental Topics in Science • TIp 9: Sending and Receiving Data between Calculators (continued) Press menu.
Page 97: Tip 10: Managing Your Calculator's Memory
A delete menu item lets you delete any type of data (variables, lists, programs, applications, etc.) so that you can set up your calculator with the information you need for your current classes. You can change the data for future classes.
Page 98 _ Try-It!Ë on Your TI83 Plus Displaying the About Screen Display your calculator’s About number. To Do This 1. Select from the About menu. 2. Notice the operating system version number under the name of the calculator ( ) and the 1.12...
Page 99 _ Try-It!Ë on Your TI83 Plus Deleting Items Delete from your calculator’s memory. To Do This 1. Display the menu and MEMORY select Mem Mgmt/Del 2. Select the category, List All existing lists on your calculator display on this screen and the number of bytes of RAM that they use bytes, etc.).

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