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TI -10 User Manual

Ti ti-10: user guide
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TI.10:
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Dr. Jane Schielack

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Summary of Contents for TI TI-10

  • Page 1 TI.10: A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Dr. Jane Schielack...
  • Page 2 Dr. Jane Schielack is an Associate Professor of Mathematics Education in the Department of Mathematics at Texas A&M University. She developed the Activities section and assisted in evaluating the appropriateness of the examples in the How to Use the TI-10 section of this guide. Important Notice Regarding Book Materials...

  • Page 3: Table Of Contents

    Table of Contents CHAPTER About the Teacher Guide ... iv About the TI-10 ... v Activities... 1 The Value of Place Value ...2 Place value What’s the Problem?...7 Number sentences, Problem solving Comparing Costs... 11 Division with quotient/remainder or decimal result How to Use the TI-10...15...

  • Page 4: About The Teacher Guide

    About the Teacher Guide How the Teacher Guide Is Organized This guide consists of two sections: Activities and How to Use the TI-10 . The Activities section is a collection of activities for integrating the TI-10 into mathematics instruction. The How To Use the TI-10 section is designed to help you teach students how to use the TI-10 features.

  • Page 5: About The Ti-10

    Previous Entries (History) After an expression is evaluated, use to scroll through previous entries and results, which are stored in the TI-10 history. Problem Solving (‹) The Problem Solving tool has three features that students can use to challenge themselves with basic math operations and place value.
  • Page 6 Find the digit in the ones, tens, hundreds, thousands, tenths, or hundredths place of a given number. Resetting the TI.10 You can reset the TI-10 in any of the following ways: Press b. ” Press − and simultaneously.

  • Page 7: Activities

    Activities The Value of Place Value What’s the Problem? Comparing Costs © 2001 T TI-10: A Guide for Teachers EXAS NSTRUMENTS NCORPORATED...

  • Page 8: The Value Of Place Value

    Then show them how to explore the answer using the TI-10. 5. Have students compare their solutions with the base-ten materials to the TI-10 display. (They can make 31 tens rods from the 314 units, with 4 units left over.) ©...
  • Page 9 If you cover the digits to the right of the hundreds place, you see how many hundreds are in a number. How does the display on the TI-10 compare to what you can do with the base-ten materials? If the TI-10 displays able to make 31 tens rods out of 316 units.
  • Page 10 Older students can record the money and enter it into the TI-10 in decimal form, 13.14. Then, they can use the TI-10 to connect dimes to 1/10 (0.1) of a dollar ($13.14 has 131 dimes or tenths). They can also connect pennies to 1/100 (0.01) of a dollar ($13.14 has 1314 pennies or hundredths).
  • Page 11 The Value of Place Value, Part A Collecting and Organizing Data 1. Use your base-ten materials and your TI-10 to explore how many tens, hundreds, and thousands are in a number. Record your observations in the table. Number Number of Thousands 2.
  • Page 12 The Value of Place Value, Part B Collecting and Organizing Data 1. Use your base-ten materials and your TI-10 to explore how many tenths and hundredths are in a number. Record your observations in the table. What patterns do you see?

  • Page 13: What's The Problem

    ? is 3. Demonstrate how to display this equation on the TI-10 and how to tell the TI-10 what the value of ? is. 4. Now display an equation such as ? - 10 = 4. Have...
  • Page 14 As an ongoing activity, have students work in pairs and use the What’s the Problem? Student Activity page to create problem-solving cards. One partner is responsible for the calculations on the TI-10, and the other partner is responsible for writing number sentences.
  • Page 15 Have students try to find an equation or inequality with exactly no whole number solutions, exactly 1 whole number solution, exactly 2 whole number solutions, more than 5 whole number solutions, etc. © 2001 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-10: A Guide for Teachers...
  • Page 16 1. Write a number sentence using an operation and the ?. 2. Write a story that describes a situation and asks a question that can be represented by the number sentence. © 2001 T EXAS NSTRUMENTS NCORPORATED Name _____________________________ Date _____________________________ TI-10: A Guide for Teachers...

  • Page 17: Comparing Costs

    How much should each school contribute to the soccer field maintenance fund this year? 2. Have students use the TI-10 to solve this problem in two ways: Find the integer quotient and remainder. Find the quotient in decimal form.
  • Page 18 How are they different? You use different keys to tell the TI-10 in what form you want the answer displayed. Analyzing Data and Drawing Conclusions To guide students in the analysis of their data, ask...
  • Page 19 586.67 by 6 Z), you get 3520.00. This result still 586.67 does not make sense because 6 x 7 = 42. If you reset and clear the TI-10, and then multiply b ” 586.67 by 6 ( 586.67 3520.02.
  • Page 20 2. Use division with a quotient in decimal form to find the answer. Analyzing Data and Drawing Conclusions Write a short paragraph comparing the two solutions. © 2001 T EXAS NSTRUMENTS NCORPORATED Name _____________________________ Date _____________________________ TI-10: A Guide for Teachers...

  • Page 21: How To Use The Ti-10

    Operations, and Parentheses 2 Clearing and Correcting 3 Menus 4 Basic Operations 5 Constant Operation 6 Whole Numbers and Decimals 7 Memory 8 Problem Solving: Auto Mode 9 Problem Solving: Manual Mode 10 Place Value TI-10: A Guide for Teachers...

  • Page 22: Display, Scrolling, Order Of Operations, And Parentheses

    Press b the TI-10 to the default settings and clear the display. The EOS transparency master shows the order in which the TI-10 completes calculations. When using parentheses, if you press Z before pressing Y, Syn Error is displayed. Press return to the previous display.
  • Page 23 Addition and subtraction (+ N). Z completes all operations. 6 (last) Because operations inside parentheses are performed first, you can use parentheses to change the order of operations and, therefore, change the result. © 2001 T EXAS NSTRUMENTS NCORPORATED TI-10: A Guide for Teachers...

  • Page 24: Order Of Operations

    © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y á 1 Û 2 Ý 3 Ú D i s p l a y Å 1 Û 2 Æ Ý 3 Ú TI-10: A Guide for Teachers Multiply Parentheses...
  • Page 25 Clearing and Correcting Keys 1. − turns the TI-10 on and off. clears the last digit you entered, allowing you to correct an entry without re-entering the entire number. ” 3. In the Calculator tool, last entry, all pending operations, and any error conditions.

  • Page 26: Clearing And Correcting

    In ‹ (Problem Solving) MAN (manual) mode, pressing clear your problem before you press ® or it lets you clear your answer before you press ®. © 2001 T EXAS NSTRUMENTS NCORPORATED ” lets ” lets you TI-10: A Guide for Teachers...

  • Page 27: Clearing Entries

    D i s p l a y b” 35 T 10 ” 35 U 9 © 2001 T EXAS NSTRUMENTS NCORPORATED á 3 5 Û 1 0 á á 3 5 Ü 9 3 5 Ü 9 Ú TI-10: A Guide for Teachers Clear ”...
  • Page 28 D i s p l a y b” 69 T 3 w w w 8 © 2001 T EXAS NSTRUMENTS NCORPORATED á 6 9 Û 3 á 6 8 á 6 8 Û 3 á 6 8 Û 3 Ú TI-10: A Guide for Teachers Backspace...

  • Page 29: Menus

    Press b the TI-10 and clear the display. The Calculator tool is active when you turn the TI-10 on. When the Calculator tool is active, press ‡ to access the Calculator menus. See page 24 for all the Calculator menu options.
  • Page 30 OP1. (No) Retains the value and operation stored in OP1. (No) Does not reset the calculator. Resets the calculator. Y (Yes) TI-10: A Guide for Teachers Example 2 r 1 2.25 1 x 5 CLEAR OP1 CLEAR OP1 RESET RESET...
  • Page 31 Lets you compose your own problems with missing (manual) elements. Option Explanation 1 2 3 After Level 3 the TI-10 cycles back to Level 1. Û Ü Ý Þ Ã Add, subtract, multiply, divide, find the operation. Option Explanation Lets you find out how 11 -.

  • Page 32: Basic Operations

    7. M lets you enter a negative number. Notes The examples on the transparency masters assume all default ” settings. Press b TI-10 and clear the display. © 2001 T EXAS NSTRUMENTS NCORPORATED There are two options for displaying division results.
  • Page 33 D i s p l a y á 2 Û 5 Ü 6 Ú D i s p l a y á 3 Ý 4 Û 2 Ú 6 ½ 0 TI-10: A Guide for Teachers Add, Subtract Multiply, Divide Equals...
  • Page 34 D i s p l a y á 1 Û 1 Ú 1 Û 2 Ú 1 Û 3 Ú 1 Û 1 Ú 1 Û 2 Ú 1 Û 2 Ú 1 Û 3 Ú TI-10: A Guide for Teachers History...

  • Page 35: Entering Negative Numbers

    10:00 P r e s s b” M 3 T 12 Z © 2001 T EXAS NSTRUMENTS NCORPORATED ., the D i s p l a y á ä 3 Û 1 2 Ú TI-10: A Guide for Teachers Negative...
  • Page 36 How many pieces will be left over? P r e s s b” 27 W 6 Z © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y á 2 7 Þ 6 Ú 4 ½ 3 TI-10: A Guide for Teachers Divide...
  • Page 37 27 W 6 Z © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y á Ù Þ Ù Â · ê Þ Ù Þ á Ù Þ 2 7 Þ 6 Ú 4Ù5 TI-10: A Guide for Teachers Divide...
  • Page 38 450 W 60 © 2001 T EXAS NSTRUMENTS NCORPORATED ? minutes ? seconds D i s p l a y á 4 5 0 Þ 6 0 Ú 7 ½ 3 0 (7 minutes, 30 seconds) TI-10: A Guide for Teachers Divide...

  • Page 39: Constant Operation

    ). For QR format, only the quotient is used in subsequent calculations; the remainder is dropped. To clear a stored constant operation: Press b to reset the TI-10. ” (Press to return to the previous screen.) Press ‡ to scroll to the CLEAR OP1 menu, select Y, and then press ®.
  • Page 40 (add 1, one at a time) › › © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y á Û 1 4 á 4 Û 1 5 Û 1 6 Û 1 TI-10: A Guide for Teachers Constant operation ›...
  • Page 41 Maria put new tile in her kitchen. She made 4 rows with 5 tiles in each row. Use repeated addition to find how many tiles she used. Before you begin, set the TI-10 to hide the constant operation. P r e s s b”...
  • Page 42 Multiplication as “repeated addition” P r e s s › › › › © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y TI-10: A Guide for Teachers (Continued)
  • Page 43 © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y á Â · Ù êêê Þ À » ê ç î À » ê ç ¼ Á Ï á TI-10: A Guide for Teachers Mode menu ‡...
  • Page 44 Notes The examples on the transparency masters assume all default settings. Press b the TI-10 and clear the display. The TI-10 automatically rounds the result to the number of decimal places selected. Only the displayed value is rounded. The internally stored value is not rounded.

  • Page 45: Whole Numbers And Decimals

    You can use r to enter a decimal with any number of places, regardless of the fixed decimal setting. You can apply the Fix setting to an individual number that you entered, or to a result. © 2001 T EXAS NSTRUMENTS NCORPORATED TI-10: A Guide for Teachers...

  • Page 46: Setting The Number Of Decimal Places

    1 2 Ù 3 4 5 Ú 1 2 Ù 3 1 2 Ù 3 4 5 Ú 1 0 Ù 1 2 Ù 3 4 5 Ú 1 2 Ù 3 4 5 TI-10: A Guide for Teachers Fix decimal Š Hundredths ™ Tenths ˜...
  • Page 47 2 r 75 T r 99 Z © 2001 T EXAS NSTRUMENTS NCORPORATED á 3 Ù 5 0 Û 2 Ù 7 5 Û Ù 9 9 Ú 7 Ù 2 4 TI-10: A Guide for Teachers Fix decimal Š Hundredths ™...

  • Page 48: Memory

    Notes The examples on the transparency masters assume all default settings. Press b ” to reset the TI-10 and clear the display. You can store integers and decimals in memory. M is displayed anytime a value other than 0 is in memory.
  • Page 49 3 Ý 1 Ù 2 5 Ú 3 Ù 7 5 Fix M 3 Ý 1 Ù 2 5 Ú 3 Ù 7 5 Fix M 3 Ý Ù 2 0 Ú 0 Ù 6 0 TI-10: A Guide for Teachers Add to Memory Subtract from Memory Memory Recall...
  • Page 50 © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y Fix M 3 Ý Ù 2 0 Ú 0 Ù 6 0 Fix M 5 Ù 5 3 5 Ù 5 3 TI-10: A Guide for Teachers (Continued)
  • Page 51 1 8 1 Þ 2 Ú 9 0 Ù 5 Ù Þ 1 8 1 Þ 2 Ú 9 0 Ù 5 Ù Þ 8 7 Û 9 8 Ú 1 8 5 TI-10: A Guide for Teachers Add to memory Memory recall...
  • Page 52 1 8 5 Þ 2 Ú 9 2 Ù 5 Ù Þ 9 2 Ù 5 Û 9 0 Ù 5 Ú 1 8 3 Ù Þ 1 8 3 Þ 2 Ú 9 1 Ù 5 TI-10: A Guide for Teachers (Continued)

  • Page 53: Problem Solving: Auto Mode

    Solving tool. Notes The examples on the transparency masters assume all default settings. Press b the TI-10 and clear the display. In AUTO mode (default), the TI-10 presents problems with one element missing (for example, 5+2=? or 5+?=7 or 5?2=7).
  • Page 54 D i s p l a y á ‹ Auto æ è êêêêê ‹ Auto ê ê ë ì ‹ Auto ê ê ë ì ‹ Auto 8 Û Ã Ú 8 0 8 TI-10: A Guide for Teachers Problem Solving ‹ Mode ‡...
  • Page 55 3 Û 2 0 Ú Ã á ‹ Auto 2 Û 7 0 Ú Ã á ‹ Auto ê ê ë ì ‹ Auto 2 Û 7 0 Ú Ã á TI-10: A Guide for Teachers Problem Solving ‹ Mode ‡...
  • Page 56 êêêêê ‹ Auto ê ê ë ì ‹ Auto Û Ü Ý Þ Ã ê ‹ Auto Û Ü Ý Þ Ã Ü ‹ Auto 4 Ü 1 Ú Ã TI-10: A Guide for Teachers Problem Solving ‹ Mode ‡...
  • Page 57 2 Û Ã Ú 7 á ‹ Auto 2 Û 4 Ç 7 » ¼ ‹ Auto 2 Û Ã Ú 7 á ‹ Auto 2 Û 5 Ú 7 À ¹ ¾ TI-10: A Guide for Teachers Problem solving ‹ Mode ‡...
  • Page 58 View the Scoreboard After every fifth problem, the TI-10 displays a scoreboard that tallies your correct and incorrect solutions. You can also display the Scoreboard momentarily at any time by pressing ‡. P r e s s ‹ (problem is displayed) ‡...
  • Page 59 Find the operator Change the type of operation to “find the operator” (?) and solve the problems the TI-10 presents. P r e s s b ” ‹ ‡ " " " " ® ‡ V ® (Problems will vary from example shown here.)
  • Page 60 Notes The examples on the transparency masters assume all default settings. Press b the TI-10 and clear the display. In MAN mode, the student composes his or her own problems. In MAN mode, for all operations except inequalities, the TI-10 accepts only integers.

  • Page 61: Problem Solving: Manual Mode

    When you first press ‡, the display shows the Scoreboard for a moment before showing the menu. For tests of inequalities, when the TI-10 returns a no, the correct response is displayed immediately. In Problem Solving, you can view the history, but you cannot edit.
  • Page 62 5 Ü 3 Ú Ã 1 ¾ ¼ º ‹ 5 Ü 3 Ú 2 À ¹ ¾ ‹ 5 Û Ã Ú 9 1 ¾ ¼ º TI-10: A Guide for Teachers Problem solving ‹ Mode ‡ Missing element ...
  • Page 63 3 ® 4 ® © 2001 T EXAS NSTRUMENTS NCORPORATED D i s p l a y ‹ 5 Û 3 Ç 9 » ¼ ‹ 5 Û 4 Ú 9 À ¹ ¾ TI-10: A Guide for Teachers (Continued)
  • Page 64 á ‹ Ã Û Ã Ú 3 4 ¾ ¼ º ‹ 2 Û Ã Ú 3 ‹ 2 Û Ï Ú 3 À ¹ ¾ S TI-10: A Guide for Teachers Problem solving ‹ Mode ‡ Missing element ...
  • Page 65 Problems with no solution The TI-10 is not designed to handle certain types of problems. These will result in a 0 SOL (no solution) response from the TI-10. P r e s s b ” ‹ ‡ " ® ‡...
  • Page 66 5 Û 4 Ç 1 0 À ¹ ¾ S ‹ Ù 5 È Ù 5 0 » ¼ ‹ Ù 5 Ú Ù 5 0 À ¹ ¾ S TI-10: A Guide for Teachers Problem solving ‹ Mode ‡ Equals Greater Than Less Than...
  • Page 67 View the Scoreboard After every fifth problem, the TI-10 displays a scoreboard that tallies your correct and incorrect solutions. You can also display the Scoreboard momentarily at any time by pressing ‡. P r e s s ‹ (problem is displayed) ‡...

  • Page 68: Place Value

    Note: 11-. is the default Place Value setting. © 2001 T EXAS NSTRUMENTS NCORPORATED 3. Œ activates the Place Value feature when the TI-10 is in Problem Solving MAN mode. It also works in conjunction with these keys: Displays ...
  • Page 69 7. Press “, ’, ‘, , ˜, or ™. If you press ‘, the TI-10 will display 1 2 _ _ . _ _ , meaning that there are 12 hundreds in the number. When you press ™, the TI-10 displays 1 2 3 4 5 6 meaning that there are 123,456 hundredths in the number.
  • Page 70 7. Press “, ’, ‘, , ˜, or ™. If you press ‘, the TI-10 displays _ 2 _ _ . _ _ briefly showing that the location of the 2 is in the hundreds place. The answer then clears so you can press another digit or place value key.
  • Page 71 ‹ ƒ 1 2 3 4 Ù 5 6 í í í 4 Ù í í ‹ ƒ 1 2 3 4 Ù 5 6 4 Ü È 1 TI-10: A Guide for Teachers Problem Solving ‹ Place Value Œ...
  • Page 72 3 Ü È 0 Ù 0 1 ‹ ƒ 1 2 3 Ù 4 3 í í 3 Ù í í ‹ ƒ 1 2 3 Ù 4 3 3 Ü È 1 TI-10: A Guide for Teachers Problem solving ‹ Place value Œ...
  • Page 73 1 2 3 4 Ù 5 6 1 2 í í Ù í í ‹ ƒ 1 2 3 4 Ù 5 6 1 2 3 4 5 6 TI-10: A Guide for Teachers Problem solving ‹ Place value Œ...
  • Page 74 Ü Ï Ü Ù êêêêêê ‹ á ‹ ƒ 1 2 3 4 Ù 5 6 ‹ ƒ 1 2 3 4 Ù 5 6 í 2 í í Ù í í TI-10: A Guide for Teachers Problem solving ‹ Place value Œ...

  • Page 75: Quick Reference To Keys

    Resets the TI-10. Hold down seconds and then release. MEM CLEARED shows on the display. Note: Resetting the TI-10 completely clears the calculator, including all menu settings, all entries in history, all values in memory, and the display. All default settings are restored.
  • Page 76 (This option is available only if MAN mode is selected.) Toggles between the AUTO and MAN mode in Problem Solving. Moves to the next Level of Difficulty. After reaching Level 3, the TI-10 cycles back to Level 1. Level 1:...
  • Page 77 Adds. Enters the addition symbol in Problem Solving mode. Subtracts. Enters the subtraction symbol in Problem Solving mode. Multiplies. Enters the multiplication symbol in Problem Solving mode. © 2001 T EXAS NSTRUMENTS NCORPORATED TI-10: A Guide for Teachers...
  • Page 78 2. Press › to recall the stored operation. ‡ ® To clear the contents of OP1, press ‡ ®. New operations can now be stored for repeated use. © 2001 T EXAS NSTRUMENTS NCORPORATED , underline Y, and press TI-10: A Guide for Teachers...

  • Page 79: Display Indicators

    Display Indicators Indicator Meaning ‹ TI-10 is in the Problem Solving tool. ƒ TI-10 is in the Place Value feature. TI-10 is rounding to a specified place. Indicates that a value other than zero is in memory. An operator and a value is stored in OP1.

  • Page 80: Menu Map

    Menu Map The TI-10 has two tools—the Calculator tool and the Problem Solving tool. Calculator Tool Division Format menu Constant Operation menu CLEAR OP1 Clear Constant Operation menu RESET Reset menu © 2001 T EXAS NSTRUMENTS NCORPORATED Problem Solving Tool...
  • Page 81 Menu Map (continued) Calculator Tool The calculator tool is active when you turn on the TI-10. When the Calculator tool is active, press ‡ to access the Calculator tool menus. Below are the Calculator menu screens. Division Format menu Constant Operation...
  • Page 82 3 - hardest Type of Operation menu— Choose from five options: Add (default) Subtract Multiple Divide Find the operator TI-10: A Guide for Teachers MAN mode ‹ 1 1 Ü Ù Ü Ï Ü Ù êêêêê å Place Value menu—...

  • Page 83: Error Messages

    Overflow. The result is too large to fit within the boundaries of the Overflow Error display. Underflow Error Underflow. The result is too small to fit within the boundaries of the display. © 2001 T EXAS NSTRUMENTS NCORPORATED TI-10: A Guide for Teachers...
  • Page 84 For technical questions, call the Programming Assistance Group of Customer Support: phone: Customers outside the U.S., Canada, Puerto Rico, and the Virgin Islands Contact TI by e-mail or visit the TI Calculator home page on the World Wide Web. e-mail: Internet: education.ti.com Product Customers in the U.S.
  • Page 85 TI strongly recommends that you insure the product for value prior to mailing. Software. Software is licensed, not sold. TI and its licensors do not warrant that the software will be free from errors or meet your specific requirements.

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