Texas Instruments TI-34 II Teachers Guide

Texas Instruments TI-34 II Manual

Texas Instruments TI-34 II manual content summary:

  • Texas Instruments TI-34 II | Teachers Guide - Page 1
    TI.34 Ü : Explorer Plus™ A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Hanson and Aletha Paskett Illustrated by Jay Garrison
  • Texas Instruments TI-34 II | Teachers Guide - Page 2
    How to Use the TI-34 Û section of this guide. Important Notice Regarding Book Materials Texas Instruments makes no price of this book. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party. Note: Using calculators
  • Texas Instruments TI-34 II | Teachers Guide - Page 3
    107 17 Polar Í Rectangular Conversions 111 18 Math Menu 113 Appendix A A-1 Quick Reference to Keys Appendix B B-1 Display Indicators Appendix C C-1 Error Messages Appendix D D-1 Support, Service, and Warranty © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers iii
  • Texas Instruments TI-34 II | Teachers Guide - Page 4
    Teacher Guides To place an order or to request additional information about Texas Instruments (TI) calculators, call our toll-free number: 1.800.TI.CARES (1.800.842.2737) Or use our e-mail address: [email protected] Or visit the TI calculator home page: http://www.ti.com/calc TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 5
    after the TI-34 Û is turned off. To recall the value of Ans: • Press %i (Ans displays on the screen), or • Press any operation key (T, U, F, and so on) as the first part of an entry. Ans and the operator are both displayed. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers v
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    Automatic Power DownTM (APDTM) If the TI-34 Û remains inactive for about 5 minutes, Automatic Power Down (APD) turns it off automatically. Press & after APD. The display, pending operations, settings, and memory are retained. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers vi
  • Texas Instruments TI-34 II | Teachers Guide - Page 7
    - Scientific Notation 6 Trig Functions 10 What's My Score?- 1-Variable Statistics 14 Heart Rates- 1-Variable Statistics 17 WNBA Stats- 2-Variable Statistics 23 My Favorite Recipe- Fractions 28 Sewing Costumes- Fractions 32 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    press
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    The Better Batter-The Fix Key (Continued) Player C. Ripken Puckett Molitor Greenwell Tartabull Palmeiro Franco Joyner Boggs Baines Sax Williams 0.327 0.311 0.331 0.328 0.317 0.311 0.322 0.314 0.291 0.270 0.238 0.225 0.297 0.311 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 3
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    following numbers to 3 decimal places. a. 2.35647 b. 15.3633 c. 0.02698 2. Using the TI-34 Ö, round the following numbers to 4 decimal places. a. 4.39865 b. 72.965912 c. 0.29516 d. 0.00395 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 4
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    The Better Batter- Name The Fix Key Date Problem You are going to play Virtual Baseball. You need to from highest to lowest. Player 1 Player 2 Player 3 Player 4 Player 5 Player 6 Player 7 Player 8 Player 9 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 5
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    . ¸0000000000 2. Press < to display the number in scientific notation. 1. 2x1013 ³ 1. Enter 5.8 and press C. 5.8¯ 2. Enter 7 and press
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    Scientific Notation (Continued) Activity Present the following problem you be able to get to Alpha Centauri on time? Procedure 1. Using the TI-34 Ö, find the total distance you need to travel. 2.5 Q 1013 miles from the Sun. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 7
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    d. 0.0000000004 3. Using the TI-34 Ö, change the following numbers into floating decimal notation (Standard). Scientific Notation Standard Notation a. 5.8 Q 107 b. 7.32 Q 105 c. 6.2 Q 10-6 d. 3 Q 10-8 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 8
  • Texas Instruments TI-34 II | Teachers Guide - Page 15
    Voyage- Scientific Notation Name Date Problem You are year. Will you be able to get to Alpha Centauri on time? Procedure 1. Using the TI-34 Ö, find the total distance that you need to travel. 2. Next, find out how the Sun. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 9
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    and solve problems involving trigonometric ratios 0.9063 3. Have students find the measure of each angle using the TI-34 Ö. Round to the nearest degree. a. sin B =
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    the ramp? Procedure 1. Make a drawing of the problem. 1.5 ft. A 20 ft. 2. Use the trigonometric ratio tan = opposite leg ¾ adjacent leg 20) 4.3 ³ 1. Enter 1.5 ¾ 15 and press
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    the nearest ten thousandth. a. sin 71º b. tan 31º c. cos 25º 3. Using the TI-34 Ö, find the measure of each angle. Round to the nearest degree. a. sin B = 0.4567 b. cos A =0.6758 c. tan C = 5.83 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 12
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    door is 20 feet. Is there enough room to build the ramp? Procedure 1. Make a drawing of the problem. 2. Use the trig ratio tan = opposite leg ¾ adjacent leg to find angle A. (Round your answer to the be less than 6 degrees? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 13
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    use the given test scores to find averages. Math Concepts • averages Materials • TI-34 Û • pencil • student activity (page 16) Introduction Discuss finding averages with your students. Activity Present the following problem © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 14
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    another problem. ³ 1. Press % t and " " to CLRDATA. Press
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    absent and scored 95. What score do you need to get so that you are the winner? Your friend's new average Your new score © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 16
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    use the statistics functions of the TI-34 Û calculator to investigate the effect of exercise on heart rate. Math Concepts • mean, minimum, maximum, and range Materials • TI-34 press $. FRQ= 4. Enter frequency and press $. X2= © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 17
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    9. Instruct students to make a histogram of the 3 sets of data they collected. Ask students: How are the histograms the same? How are they different? Is the data grouped the same or is it more spread out in one graph compared to another? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
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    ? Procedure 1. Use the following table to record your class or group data (resting). Heartbeats per minute (resting) Frequency 2. What is the class (group) average? 3. What is the total number of heartbeats for the minute? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 19
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    Date 4. Use the following table to record your class or group data (running). Heartbeats per minute (running) Frequency 5. What is the class (group) average? 6. What is the total number of heartbeats for the minute? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers
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    Heart Rates- Name 1-Variable Statistics Date 7. Use the following table to record your class or group data (jumping). Heartbeats per minute (jumping) Frequency . If it is higher than 125, then you are in poor shape. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 21
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    same? How are they different? 12. Is the data grouped the same or is it more spread out in one graph compared to another? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 22
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    .7 5. Press $ to enter the data for the second player. 6. Continue to enter data for each player in the chart. Press $ after entering each number. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 23
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    between the two variables. Write the correlation coefficient. r = .91 6. Now calculate how many minutes you would expect a player to play if she averages 15 points "" to y¢. 2. Press
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    • What about defense, rebounding, etc.? Extension Now have students use the calculator to investigate the correlation of the other data in the chart such Press ! ! to x¢. x¢ y¢ 3. Press
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    per Game 10.1 13.3 6.8 22.7 12.9 12.9 6.7 4.8 11.7 1.9 Rebounds per Game 4.3 6.5 3.6 3.7 9.3 7.6 3.3 .8 6.9 .9 Minutes per Game 21.7 31.6 21.9 35 33.6 28 16.7 13.2 29.2 8.1 4.9 1.9 13.6 3.3 1.9 6.5 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 26
  • Texas Instruments TI-34 II | Teachers Guide - Page 33
    WNBA Stats- 2-Variable Statistics Name Date Extension Use the calculator to investigate the correlation of the other data in the closest correlation? (That is, which have the correlation coefficient closest to 1 or L1?) © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 27
  • Texas Instruments TI-34 II | Teachers Guide - Page 34
    of a calculation is already displayed as a fraction that needs to be simplified, press }
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    cups? In quarts? Procedure 1. Before starting on the problem, have the students look at the recipe to find ingredients = 2 T. = 1/8 C. 5 eggs = 1 ¼ C. 2. Using the TI-34 Ö, find the total volume of the recipe ingredients in cups. 18 1/ TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 29
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    Date Problem You Using pencil and paper, convert eggs and teaspoon measurements into tablespoons and then into cups. Ingredient Cup Measurement a. 5 eggs b. Other ingredients cups cups (Salt, baking powder, baking soda, vanilla) © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    Salt, Baking powder, baking soda, vanilla (Enter your answer from #1) flour oatmeal Total 3. Using the TI-34 Ö, convert the total number of cups into number of quarts. cups quarts 4. Would all the bowl would need to be. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 31
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    will use the fraction capability of the TI-34 Û calculator to determine problem, press 3 @ 3 > 5 V 7
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    Using the TI-34 Ö, find the total yardage needed for the 14 costumes by multiplying the amount of material needed for the costume by the number of costumes needed. ³ Be sure your calculator a shirt for everyone in the class. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 33
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    Sewing Costumes- Fractions Name Date 1. Using the TI-34 Ö, practice multiplying mixed numbers by whole numbers. a. 3 3/5 x 7 = b. 9 7/8 x 4 = b. 9 7/8 - 6 3/4 = c. 5 5/6 - 3 1/9 = d. 8 1/3 - 7 4/7 = © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers
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    material would be needed to make matching shirts for everyone in the class. How much would it cost to make shirts for the class? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 35
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    How to Use the TI.34 Ö TI-34 Ü Basic Operations 37 Editing the Display 41 Basic Math 44 Order of Operations 48 104 Angle Settings and Conversions 107 Polar Í Rectangular Conversions 111 Math Menu 113 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 36
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    TI.34 Ü Basic Operations 1 Keys These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. & turns on the calculator. 2. % turns on the 2nd indicator and accesses the function shown above the next key you press. 3. % ' turns off the calculator
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    the operation. Scroll to see your previous entries. Press 46 U 23 Display 46-23 !$ < & %¦ !!!!1 41-26 º "" 6 < 15. 81 T 57 < 81+57 º 138. %¦ & º ##$ 81+57 º © 1999 TEXAS INSTRUMENTS INCORPORATED TIN34 Û: A Guide for Teachers 38
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    : N -Y < MEM CLEARED - ~ Pressing & and - at the same time also resets the calculator immediately. No menu or message is displayed. Using %© or & and - returns all settings to their defaults and clears the memory. %© © 1999 TEXAS INSTRUMENTS INCORPORATED TIN34 Û: A Guide for Teachers 39
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    Last Answer (Ans) Use Last Answer (Ans) to calculate (2+2)2. Press Display 2 T 2 < 2+2 4. %« F Ans2 º < 16. %« © 1999 TEXAS INSTRUMENTS INCORPORATED TIN34 Û: A Guide for Teachers 40
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    These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. - clears characters and error messages. memory, statistical registers, angle units, or numeric notation. 2 3 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 41
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    Delete, Insert Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem. Press 4569 T 285 Display 4569+285 !!!!!! 459+285 J """" % 6 < 459+2865 459+2865 º 3324. J% © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 42
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    Clear Enter 21595. Clear the 95. Clear the entry. Press 21595 Display 21595 !! - 215 (Clear to right of cursor) - ~ (Clear entry) - © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 43
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    numbered keys on TI-34 Û allows implied multiplication. Example: 3 (4+3) = 21 • Do not confuse M with U. Use U for subtraction. • Results of percent calculations display according to the decimal notation mode setting. 8 9 4 7 3 2 1 5 6 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    x 21 = 78 P 2 = 12 x (5 + 6) = Press Display 2 T 54 U 6 2+54-6 < 16 V 21 < 1 6 "2 1 78 W 2 78÷2 < 12 D 5 T 6 12(5+6) E < º 50. º 336. º 39. º 132. (The last example illustrates implied multiplication) TUVW < © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 45
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    Negative Numbers M The temperature in Utah was -3¡ C at 6:00 a.m. By 10:00 a.m. the temperature had risen 12¡ C. What was the temperature at 10:00 a.m.? Press Display M 3 T 12 -3+12 º < 9. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 46
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    Percent Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press 15 Display 15 ¢ % V 8 0 15%"80 º < 12. %¢ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 47
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    corresponding numbered keys on the TI-34 Û completes calculations. • Operations inside parentheses are performed first. Use D E to change the order of operations and, therefore, change the result. Example: 1 + 2 x 3 = 7 (1 + 2) x 3 = 9 1 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    combinations (nCr). 8 Multiplication, implied multiplication, and division. 9 Addition and subtraction. 10 Conversions (%", Q, R and 8DMS). 11 (last) < completes all operations and closes all open parentheses. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 49
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    1 T 2 V 3 1+2"3 < 7. TVDE (1 + 2) x 3 = Press Display D 1 T 2 E (1+2)"3 º V 3 < 9. Order of operations used in these examples 1. Expressions in parentheses 2. Multiplication/division 3. Addition/subtraction © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 50
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    the entry line. The TI-34 Û automatically calculates the result and displays TI-34 Û to display only the counter and the result (excluding the entry). Press % n or % p, press ! until the = is highlighted (Ù). Repeat to toggle this setting off. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    pond 1 at a time, how many frogs will be in the pond? m%™ Press Store the operation: %™ T 1 < Display OP1 = OP1 = +1 Initialize using 4: 4 4 Add 1 one at a time: 4 + 1 º m 1 5 m 5 + 1 º 2 6 m 6 + 1 º 3 7 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 52
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    5 tiles in each row. Use repeated addition to find out how many tiles she used. m%™ Press Store the operation: %™ Display OP1 = T 5 < OP1 = +5 Initialize using 0: 0 0 Use the stored operation: 0 + 5 m 1 5 Continued © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 53
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    Multiplication as "repeated addition" (Continued) m 5+5 2 10 m 10+5 º 3 15. m 15+5 º 4 20. m%™ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 54
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    multiplication to find the volume of a cube with a base of 5 meters. V = l x w x h = 5 x 5 x 5 = 53 o%š Press Store the operation: %š Display OP2 = V 5 < OP2 = ×5 Initialize using 1: 1 1 o 1 "5 1 Continued © 1999 TEXAS INSTRUMENTS INCORPORATED º 5. TI-34 Û: A Guide for Teachers 55
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    Powers as "repeated multiplication" (Continued) o 5 "5 º 2 25. o 2 5 "5 º 3 125. o%š © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 56
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    Using G as a constant Use this formula to find the volume of each cube. V = base3 o%š Store the operation: %š G 3 < OP2= OP2=^3 Use the stored operation: 2 ^ 3 º 2 o 1 8 3 o 3^3 º 1 27 4 o 4^3 º 1 64 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 57
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    two ways: − Press ! or " to move to the number of decimal places you want, and then press
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    FIX setting. Press 12 8 345 Display 12.345 %ª 2 F0123456789 - 12.345 < %ª 1 %ª 8 12.345 FIX º 12.35 12.345 FIX º 12.3 12.345 º 12.345 8%ª © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 59
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    the corresponding numbered keys on the illustration using % h, the value of the stored variable is displayed on the entry line. • Resetting the calculator clears all memory variables. • For more about rand, see Chapter 11, Probability. 3 2 4 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    96+76+83 º 255. W 3 < Ans÷3 º 85. L < Ans¹A º 85. 92 T 83 T 97 T 86 < W 4 < 92+83+97+86 º 358. Ans÷4 º 89.5 T z < < Ans+A º 174.5 W 2 < Ans÷2 º 87.25 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 61
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    $9.48? Press Display 7 8 98 W 3 7.98÷3 º < 2.66 L < Ans¹A º 2.66 9 8 48 W 4 9.48÷4 º < 2.37 L"< Ans¹B º 2.37 View the first price again. %¨ A- B C D E 2.66 View the second price again. " A -B C D E 2.37 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 62
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    spend at each store, and how much did you spend altogether? Press Display 2 V 1 3 8 9 8 2"13.98 º < 27.96 L -A B C D E < Ans¹A 3 V 7 8 9 8 3"7.98 < º 27.96 º 23.94 Continued © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 63
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    Display L" < Ans¹B º 23.94 6 8 98 T 9 8 98 < L " " < 6.98+9.98 º 16.96 Ans¹C º 16.96 %¨ 27.96+ º < T %¨ " < T ¸.96+23.94+ º ¨ % "" 27.96+23.94 ¹ º < < 68.86 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 64
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    number 1 anywhere you can enter a decimal value. 3 7 • You can use fractions and decimals together in a calculation. 4 • Fractional results and entries are automatically reduced to their lowest 2 terms. (continued) © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 65
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    two fractions or a fraction and any integer will display results as fractions. − Calculations involving a fraction and a decimal will always display results as decimals. • For and the denominator can be up to the value 1,000. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 66
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    of the pepperoni pizza and 1à10 of the sausage pizza. How much pizza did you eat? >} Press 5 >6 T 1 > 10 < Display If %~=Auto: 5/6 + 1/10 º 14 / 15 } < If %~=Manual: 5/6 + 1/10 º NàD&nàd 28 / 30 Ans¾Simp º 14 / 15 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 67
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    A baby weighed 4 3à8 pounds at birth. In the next 6 months, she gained 2 3à4 pounds. How much does she weigh? @> Press 4 @ 3 > 8 T 2 @ 3 > 4 < Display If %~=A−b/c 4†3/8+2†3/4 º 7†1 / 8 If %~=d/e 4†3/8 + 2†3/4º 57 / 8 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 68
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    will use his measuring cup, change the mixed number to a fraction. %" Press Display 3 @ 1 >2 3†1/2 %" 3 † 1 / 2 ¾ A b/c½ ¾ d/e < 3† 1/ 2¾Ab/c½ ¾ d/e º 7 / 2 Show the mixed number again. " % < A n s ¾A b / c ½ ¾ d / e º 3†1 / 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 76
    Fraction to Decimal Q Juan swims 20 laps in 5.72 minutes. Mary swims 20 laps in 5 3à4 minutes. Change Mary's time to a decimal to determine who swims faster. Press 5 @ 3 > 4 Q Display 5†3/4¾D < 5†3/4¾D º 5.75 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 70
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    than once to reduce the fraction to its lowest terms. Press 2 825 R < } < Display 2.25¾F º 225 / 100 N/D¹n/d Ans¾Simp º 45 / 20 < Ans¾Simp º 9 / 4 " % < Ans¾Ab/c½¾d/e º 2†1 / 4 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 71
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    the corresponding numbered keys on the illustration below. 1. g enters the value of pi into a calculation. g < displays the number key that corresponds to the number of decimal places you want. The transparency masters show both ways. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 79
    Circumference g Use this formula to find the amount of border you need if you want to put a circular border all the way around the tree. C = 2pr = 2 x p x 1.5m Press 2 V g V 1.5 < Display 2 "p "1 . 5 º 9.424777961 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 73
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    Area g Use this formula to find how much of a lawn would be covered by the sprinkler. Round . A = pr2 = p x 42 Press g V 4 F < %ª " Display p×42 º 50.26548246 F0123456789 < %ª 8 p×42 FIX º 50. p×42 º 50.26548246 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 74
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    Domain under Error Messages in Appendix C for restrictions. • The result of calculations with G must be within the range of the TI-34 Û. • A sign change takes precedence over exponents. Example: .52 = .25 (.5)2 = 25 4 3 5 2 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 75
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    Squares Use this formula to find the size of the tarpaulin needed to cover the entire baseball infield. A = x2 = 27.42 F G Press 27.4 F < or 27.4 G 2 < Display 27.42 º 750.76 27.4^2 º 750.76 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 76
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    Use this formula to find the length of the side of a square clubhouse if 3m2 of carpet would cover the floor. Round your answer to 0 decimal places. L= x = 3 3m2 of carpet Press %¥ 3 E < %ª 0 Display ‹(3) º 1.732050808 ‹(3) º 2. %¥ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
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    Cubes G Use this formula to find the volume of a cube with sides 2.3 meters long. Change your answer to a fraction. V = L3 = 2.33 Press 2 8 3 G 3 < Display 2.3^3 º 12.167 R < Ans¾F º 12−167/1000 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 78
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    it in half again. How many sections would there be after 10 folds? After 15 folds? Press Display 2 G10 < 2^10 º 1024. 2 G15 < 2^15 º 32768. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 79
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    Roots If the volume of a cube is 125 cm3, what is the length of each side? Press Display Ÿ 3 % 1 2 5 3X‹125 º < 5. %Ÿ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 80
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    much of each model was completed per hour? Press Sailing ship: 10 %¡ R < Display 10-1¾ F º 1 / 10 Steam ship: 5 %¡ R < } < 5 -1¾ F N/D¹n/d º 2/10 Ans¾Simp º 1/5 Luxury liner: 5 @1 >3 %¡ < 5 † 1 / 3 -1 º 3 / 16 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 81
  • Texas Instruments TI-34 II | Teachers Guide - Page 88
    integer to RAND just as you would store values to memory variables. The seed value changes randomly every time a random number is generated. • For RANDI, use a comma to separate the two numbers that you specify. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 82
  • Texas Instruments TI-34 II | Teachers Guide - Page 89
    Use this formula to find how many ways you could place the 4 books in the 2 spaces. 4 nCr 2 = x A B AB and BA count as only 1 combination. C D AB AC AD BA BC BD CA CB CD DA DB DC Press 4 H " Display nPr -n-C-r ! ¹ 2 < 4 nCr 2 º 6. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
  • Texas Instruments TI-34 II | Teachers Guide - Page 90
    a race. Use this formula to find how many different ways they can place 1st and 2nd. 4 nPr 2 = x A B AB and BA count as 2 permutations. C D AB AC AD BA BC BD CA CB CD DA DB DC Press 4 H Display -n-P-r nCr ! ¹ 2 < 4 nPr 2 º 12. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 91
    Factorial (!) Using the digits 1, 3, 7, and 9 only one time each, how many 4-digit numbers can you form? 4! = x 1 37 9 ABC CBDA CDAB CDBA DABC DACB DBAC DBCA DCAB DCBA Press Display 4 H " " nPr nCr --! ¹ < < 4! º 24. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 85
  • Texas Instruments TI-34 II | Teachers Guide - Page 92
    Random (RAND) Generate a sequence of random numbers. Press Display H " " " ¸-R-A-N--D RANDI < < < RAND º 0.839588694 RAND º 0.482688185 Results will vary. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 86
  • Texas Instruments TI-34 II | Teachers Guide - Page 93
    Random (RAND) Set 1 as the current seed and generate a sequence of random numbers. Press 1 L ! Display ¸ -r-a-n-d1083958869. < 1¹rand º 1. H"""
  • Texas Instruments TI-34 II | Teachers Guide - Page 94
    Random Integer (RANDI) Generate a random integer between 2 and 10. Press H ! Display ¸ RAND -R-A-N--D-I < 2 %¬ 10 E < ¸ ANDI( 2, 10)~ RANDI( 2,10)¹º 3. Results will vary. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 88
  • Texas Instruments TI-34 II | Teachers Guide - Page 95
    explanations for the corresponding numbered keys on the illustration below. 1. Sy sx or sy Gx or Gy Gx2 or Gy2 Gxy a Sample standard deviation of x or y Population standard deviation of x or y Sum of all x values or y values Sum TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 89
  • Texas Instruments TI-34 II | Teachers Guide - Page 96
    Display % 1----V-A-R 2-VAR ¹ %
  • Texas Instruments TI-34 II | Teachers Guide - Page 97
    of data points (n), the mean (v), the sample standard deviation (Sx), the population standard deviation (sx), the sum of the scores (Gx), and „x ¹ -- 14.66424222 STAT " ¸-Š-" Šx2 397. STAT " ¸Š" -Š-x-2 32597. STAT u © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 91
  • Texas Instruments TI-34 II | Teachers Guide - Page 98
    =53 STAT Ó $ 0 < u" %ž < STAT FRQ=0 Ó 0. STAT n -‡ Sx sx ¹ 86. STAT EXIT ST: Y- N STAT ~ %ž To remain in STAT mode and clear data, press %ž and select CLRDATA. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 92
  • Texas Instruments TI-34 II | Teachers Guide - Page 99
    ) 28 (Y2) Press Display %" 1-VAR -2---V-A-R- ¹
  • Texas Instruments TI-34 II | Teachers Guide - Page 100
    points. Press u! Display ¸ xÅ -y Å STAT < 32 E < y(32) 18.45454545 STAT % ˜ < EXIT ST: -Y N STAT ~ To remain in STAT mode and clear data, press % and select CLRDATA. u % © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 94
  • Texas Instruments TI-34 II | Teachers Guide - Page 101
    sure to select the appropriate angle-unit setting (degree or radian-See Activity 16, Angle Settings and Conversions). The calculator interprets values according to the current angle-unit setting. • E ends a trig function. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 95
  • Texas Instruments TI-34 II | Teachers Guide - Page 102
    Tangent Use this formula to find the distance from the lighthouse to the boat. Round your 78 W %œ !! 27 E < 78÷tan (27) º 153.0836194 %ª " F-0 1 2 3 4 5 6 7 8 9 < %ª 8 78÷tan (27) º 153. FIX 78÷tan (27) º 153.0836194 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 96
  • Texas Instruments TI-34 II | Teachers Guide - Page 103
    Inverse Tangent Use this formula to find the angle of depression. Round your " " Display tan-1(600÷25 ¹ 13.49573328 F 0 -1 2 3 4 5 6 7 8 9 < %ª 8 t a n -1( 6 0 0 ÷ 2 5 ¹ º 13.5 FIX t a n -1( 6 0 0 ÷ 2 5 ¹ º 13.49573328 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 97
  • Texas Instruments TI-34 II | Teachers Guide - Page 104
    Cosine Use this formula to find how far the base of the ladder is from x COS 75 %œ Press Display 5 %œ"" 75 E < %ª " 5cos(75) º 1.294095226 F 0-1 2 3 4 5 6 7 8 9 FIX < %ª 8 5cos(75) º 1. FIX 5cos(75) º 1.294095226 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 98
  • Texas Instruments TI-34 II | Teachers Guide - Page 105
    Inverse Cosine Use this formula to find the angle of the ski jump. Round your answer to the W 500 E < cos-1(453÷50 ¹ 25.04169519 %ª "" F 0-1 2 3 4 5 6 7 8 9 < %ª 8 cos-1(453÷50¹ º 25.0 FIX cos-1(453÷50¹ º 25.04169519 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 99
  • Texas Instruments TI-34 II | Teachers Guide - Page 106
    Sine Use this formula to find the length of the ramp. Round your answer to Press Display 1 8 5 W %œ 12 E < 1.5÷sin(12)¹ º 7.214601517 %ª " F 0-1 2 3 4 5 6 7 8 9 < %ª 8 1.5÷sin(12) º 7. FIX 1.5÷sin (12) º 7.214601517 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 100
  • Texas Instruments TI-34 II | Teachers Guide - Page 107
    Inverse Sine Use this formula to find the angle of the conveyor belt. Round your answer to the < %ª "" Display sin-1(13÷20)¹ º 40.54160187 F 0 -1 2 3 4 5 6 7 8 9 < %ª 8 sin-1(13÷20)¹ º 40.5 FIX sin-1(13÷20)¹ º 40.54160187 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 101
  • Texas Instruments TI-34 II | Teachers Guide - Page 108
    requiring more than 10 digits are automatically displayed in scientific notation. • For the decimal notation mode, refer to % , in Chapter 6, Decimals and Decimal Places. • These modes affect only the display of results. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 102
  • Texas Instruments TI-34 II | Teachers Guide - Page 109
    the Sun. Jupiter is 7.783 x 108 kilometers from the Sun. Enter the numbers in scientific notation and determine how far away the Earth is from Jupiter. Press Display 7 8 783 C 8 U 1 8 496 C 8 < 7.783€8-1.4 ¹º 628700000. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 103
  • Texas Instruments TI-34 II | Teachers Guide - Page 110
    e, where e = 2.718281828459). e^ calculates the natural antilogarithm (e raised to the power of the value). Notes • The examples on the transparency masters assume all default settings. • E ends a logarithmic function. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 104
  • Texas Instruments TI-34 II | Teachers Guide - Page 111
    places and return to floating decimal notation. Press %› 23 E < %ª Display log(23) º 1.361727836 -F 0 1 2 3 4 5 6 7 8 9 4 %› "" 23 E < %ª 8 log(23) FIX º 1.3617 ln(23) FIX º 3.1355 ln(23) º 3.135494216 %› © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 105
  • Texas Instruments TI-34 II | Teachers Guide - Page 112
    to floating decimal notation. Press %› " 3 8 9824 E< %ª Display 10^(3.9824) º 9602.846792 -F 0 1 2 3 4 5 6 7 8 9 4 %› ! 3 8 9824 E< %ª 8 10^(3.9824) º 9602.8468 FIX e^(3.9824) º 53.6456 FIX e^(3.9824) º 53.64562936 %› © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 106
  • Texas Instruments TI-34 II | Teachers Guide - Page 113
    provide explanations for the corresponding numbered keys on the illustration below. 1. % calculator interprets all values as degrees, regardless of the angle-unit setting. • DMS angles are entered as Ä (degrees), Å (minutes), and Æ (seconds). © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
  • Texas Instruments TI-34 II | Teachers Guide - Page 114
    ) and 1:46 (1 hour and 46 minutes) in length. How long did you watch videos? Press 2 = Display ¡- Å Æ r ¹ < 2¡ 5 = " < T 1 =< 46 = "
  • Texas Instruments TI-34 II | Teachers Guide - Page 115
    Fraction to Degrees, Minutes, and Seconds How much is 2/3 of an hour in hours, minutes, and seconds? Press 2 > 3 Display 2/3 = ! ¸ -¾D--M-S- = © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 109
  • Texas Instruments TI-34 II | Teachers Guide - Page 116
    Degrees, Radians Calculate the sine of 30 in degrees and radians and then return to degrees. Press Display %œ 30 E< sin(30) 0.5 %Ž " DEG RAD --- < < %Ž ! < < sin(30) º -0.988O31624 RAD D--E-G RAD RAD sin(30) º 0.5 %Ž © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 117
    numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. %k displays the assumes all default settings. • Before starting calculations, set angle mode as necessary. 1 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 111
  • Texas Instruments TI-34 II | Teachers Guide - Page 118
    ?) 4 3 r = 7 2 1 30° 1 23 45 67 x Press %'"" Display ¸ -P-¾-R-" P¾Ry 7 %¬ 30 E< %' ! P ¾ R "( 7 , 3 0 ) 6.062177826 ¸ P¾R" P--¾-R-y 7 % ¬ 30 E < P¾Ry(7,30) 3.5 The rectangular ordered pair is (6.062177826, 3.5). © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 112
  • Texas Instruments TI-34 II | Teachers Guide - Page 119
    keys n3 Calculates the cube of n. 3Ñ(n): Calculates the use the functions, select the math function from the menu, and then enter the value. • %` must separate the two values. • The closing parenthesis following function names is optional. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
  • Texas Instruments TI-34 II | Teachers Guide - Page 120
    Absolute Value Find the absolute value of -35. Press %£ Display -a-b-s round < abs( M 35 E < abs(-35) abs(-35) 35 %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 114
  • Texas Instruments TI-34 II | Teachers Guide - Page 121
    Rounding a number Round p to three digits. Press %£" Display abs -r-o-u-n-d ¹ g %¬ 3 E < round(p,3) º 3.142 %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 115
  • Texas Instruments TI-34 II | Teachers Guide - Page 122
    Integer and Fractional Part Display the integer and fractional part of 4 3à8. Press Display £ % " " ¸ -i-P-a-r-t fPart ¹ 4 @3 >8 iPart(4†3/8 ¹º E < 4. %£ """ 4 @ 3 > 8 E < fPart(4†3/8 ¹º 3/8 %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 116
  • Texas Instruments TI-34 II | Teachers Guide - Page 123
    Minimum and Maximum %£ Using max, put the following list of numbers in ascending order: 14à17, 7à9, 3à5, 13à15. Press %£ """"" Display ¸ min -m-a-x- ¹ 7 13 > 15 E < The list in ascending order: {3à5, 7à9, 14à17, 13à15} © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 117
  • Texas Instruments TI-34 II | Teachers Guide - Page 124
    Then verify your answer. (Set FracMode to d/e using %" = d/e.) Press %£ !!!!! Display ¸ lcm --- gcd ¹ ¬ 4 % 6 E lcm(4,6) 12 < 13 4 = 12 5 10 6 = 12 Verify: 1 >4 T 5 > 6 < 3 10 13 12 + 12 = 12 1/4+5/6 13/12 %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 118
  • Texas Instruments TI-34 II | Teachers Guide - Page 125
    the fraction, 27à36. Then verify your answer. (Set FracMode to Auto.) Press %£ !!!! Display ¸ lcm g-c-d- ¹ 27 %¬ 36 E < gcd(27,36) 9. 27 > 36 W 27/36¾9/9 9 > 9 < 3/4 %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 119
  • Texas Instruments TI-34 II | Teachers Guide - Page 126
    Cube and Cube Root Calculate 343 and 3 39304 . Press 34 %£ !!! < < %£ !! < %« < Display ¸ 3 - 3‹ ¹ 343 39304. ¸ 3 -3-‹ ¹ 3‹ ( A n s 34. %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 120
  • Texas Instruments TI-34 II | Teachers Guide - Page 127
    16 V 8 < 16"8 128. %£ ! ¸-r-e-m-a-i-n-d-e-r 164 %¬ remainder(1 ¹º 128 E < 36. You have 36 extra people. 36W 8< 36÷8 4.5 8 V 4 < 8"4 32. %£ ! 36 %¬ 32 E < remainder(3 ¹º 4. You will have 4 seats left over. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers 121
  • Texas Instruments TI-34 II | Teachers Guide - Page 128
    on the 2nd indicator and accesses the function shown above the next key that you press. Changes a real number to percent. Results display Calculates the reciprocal. Calculates the square root. Calculates the specified root (x) of the value. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide
  • Texas Instruments TI-34 II | Teachers Guide - Page 129
    the divisor used to simplify the last fraction result. Displays the following menu that lets you set the number of decimal places. F 0 1 2 3 4 5 6 7 8 9 F Sets floating decimal (standard) notation 0-9 Sets number of decimal places © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 130
    and X2. Finds the greatest common divisor (gcd) of two values, X1 and X2. Calculates the cube of #. Calculates the cube root of #. remainder(#1,#2) Returns the remainder resulting from the division of two values, #1 by #2. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers A-3
  • Texas Instruments TI-34 II | Teachers Guide - Page 131
    Keys (Continued) A Key z Function Displays the following menu of variables. A B C D E Lets you view the stored value before pasting it to the display. % ' Turns off the calculator and clears the display. & Turns on the calculator TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers
  • Texas Instruments TI-34 II | Teachers Guide - Page 132
    a variable in which to store the displayed value. The new variable replaces any previously stored value. Lets you set a seed value for random integers. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers A-5
  • Texas Instruments TI-34 II | Teachers Guide - Page 133
    . sin-1 Calculates the inverse sine. cos Calculates the cosine. cos-1 Calculates the inverse cosine. tan Calculates the tangent. tan-1 Calculates the inverse tangent. Separates a whole number from the fraction in a mixed number. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for
  • Texas Instruments TI-34 II | Teachers Guide - Page 134
    or radians). Precedes the exponent in scientific notation. An entry is stored in history before and/or after the active screen. Press # and $ to scroll. An entry or menu displays beyond 11 digits. Press ! or " to scroll. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers B-1
  • Texas Instruments TI-34 II | Teachers Guide - Page 135
    an odd integer. • For yx: y and x = 0; y < 0 and x is not an integer. • For ‡x: x < 0. • For LOG or LN: x  0. • For TAN: x = 90¡, -90¡, 270¡, -270¡, 450¡, etc. • For SIN-1 or COS-1: |x| > 1. • For nCr or , or commas. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers C-1
  • Texas Instruments TI-34 II | Teachers Guide - Page 136
    Canada Refer to the leaflet enclosed with this product or contact your local Texas Instruments retailer/distributor. Other TI Products and Services Visit the TI calculator home page on the World Wide Web. www.ti.com/calc © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers D-1
  • Texas Instruments TI-34 II | Teachers Guide - Page 137
    the length and terms of the warranty, refer to your package and/or to the warranty statement enclosed with this product, or contact your local Texas Instruments retailer/distributor. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-34 Û: A Guide for Teachers D-2
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TI
.
34
Ü
:
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Gary Hanson and Aletha Paskett
Illustrated by
Jay Garrison
Explorer
Plus™