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TI -34 II Explorer Plus User Manual

Ti ti-34 ii explorer plus: user guide.

 
Ü
TI.34
Explorer
:
Plus™
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Gary Hanson and Aletha Paskett
Illustrated by
Jay Garrison

Summary of Contents

  • Page 1

    Ü TI.34 Explorer Plus™ A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Hanson and Aletha Paskett Illustrated by Jay Garrison...

  • Page 2

    Gary Hanson and Aletha Paskett are math teachers in the Jordan Independent School District in Sandy, Utah. They developed the Activities section and assisted in evaluating the appropriateness of the examples in the How to Use the TI-34 Û section of this guide. Important Notice Regarding Book Materials...

  • Page 3: Table Of Contents

    WNBA Stats 2-Variable Statistics My Favorite Recipe Fractions Sewing Costumes Fractions How to Use the TI.34 Ü Ü TI-34 Ü Basic Operations 2 Editing the Display 3 Basic Math 4 Order of Operations 5 Stored Operations 6 Decimals and Decimal Places...

  • Page 4

    About the Teacher Guide How the Teacher Guide is Organized This guide consists of two sections: Activities and How to Use the TI-34 Û . The Activities section is a collection of activities for integrating the TI-34 Û into mathematics instruction.

  • Page 5

    Previous Entries # $ After an expression is evaluated, use # and $ to scroll through previous entries, which are stored in the TI-34 Û history. You cannot retrieve previous entries while in mode. STAT Error Messages Refer to Appendix C for a listing of the error messages.

  • Page 6

    Note: The examples on the transparency masters assume all default settings. Automatic Power Down 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.

  • Page 7: Activities

    NCORPORATED Activities The Better Batter— The Fix Key Star Voyage— Scientific Notation Trig Functions What’s My Score?— 1-Variable Statistics Heart Rates— 1-Variable Statistics WNBA Stats— 2-Variable Statistics My Favorite Recipe— Fractions Sewing Costumes— Fractions TI-34 Û: A Guide for Teachers...

  • Page 8: The Better Batter, The Fix Key

    TI-34 Û to change % ‚ Students use numbers to different place values. Students calculate batting averages using the TI-34 Û and then round their answers to 3 decimal places. Introduction 1. Have students practice rounding the following numbers to 3 decimal places using pencil and paper.

  • Page 9

    Baines Williams Sheridan Barfield Mattingly Hall © 1999 T EXAS NSTRUMENTS NCORPORATED Number of Number of Hits Times at Bat TI-34 Û: A Guide for Teachers (Continued) Batting Average 0.332 0.328 0.327 0.311 0.331 0.328 0.317 0.311 0.322 0.314 0.291 0.270...

  • Page 10

    The Fix Key 1. Round the 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 T...

  • Page 11

    Date ___________________________ ¾ number of times at bat) rounded to Number of Times at Bat Player 6 ____________________ Player 7 ____________________ Player 8 ____________________ Player 9 ____________________ TI-34 Û: A Guide for Teachers Batting Average (rounded to 3 decimal places)

  • Page 12: Star Voyage, Scientific Notation

    93 000 000 b. 384 000 000 000 c. 0.00000000000234 d. 0.0000000157 2. Have students change the following numbers into scientific notation using the TI-34 Ö. a. 12 000 000 000 000 b. 974 000 000 000 c. 0.0000000000034 d. 0.00000000004 3.

  • Page 13: Scientific Notation

    6 x 10 miles in 1 light year. Will 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 10 + 9.3 Q 10 2.

  • Page 14

    Standard Notation a. 12 000 000 000 000 b. 974 000 000 000 c. 0.0000000000034 d. 0.0000000004 3. Using the TI-34 Ö, change the following numbers into floating decimal notation (Standard). Scientific Notation a. 5.8 Q 10 b. 7.32 Q 10 c.

  • Page 15

    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 long it will take you to travel the distance. (Distance traveled P 1 light year) 3.

  • Page 16: Trig Functions

    A e. cos A tan A 2. Have students find the value of each ratio using the TI-34 Ö. Round to the nearest 10 thousandth. a. sin 71° b. tan 31° c. cos 25° 3. Have students find the measure of each angle using the TI-34 Ö.

  • Page 17

    Yes, angle A is 5.7º. © 1999 T EXAS NSTRUMENTS NCORPORATED (Continued) TI-34 Û: A Guide for Teachers ³ 1. Press % ‚ 2. Press % B " " " " " <. 3. Enter 1.5 W 20 and press E <.

  • Page 18

    C c. tan C d. sin A e. cos A f. tan A 2. Using the TI-34 Ö, find the value of each ratio. Round to the nearest ten thousandth. a. sin 71º b. tan 31º c. cos 25º...

  • Page 19

    You want to start the ramp 15 feet away from the door. Can you do that and still have the angle of incline be less than 6 degrees? © 1999 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ TI-34 Û: A Guide for Teachers...

  • Page 20: What's My Score, 1-variable Statistics

    100. Your friend’s scores are 89, 89, 97, 90, and 100. Who is the winner? Procedure 1. Have students find the average of their scores using the TI-34 Ö. Remember to enter 2 as the frequency for 98 and 1 for all others. © 1999 T EXAS...

  • Page 21: 1-variable Statistics

    3. Use guess and check to figure out what score you need to get. 4. To exit STAT % w <. TI-34 Û: A Guide for Teachers . Press , the . Press <. mode, press...

  • Page 22

    2. Your friend took a test on the day you were 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 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ _______________________ _______________________ _______________________ TI-34 Û: A Guide for Teachers...

  • Page 23: Heart Rates, 1-variable Statistics

    As other students have the same heart rate, add another tally mark in the frequency column. 3. Enter the heart rate data into the TI-34 Ö. a. Enter the first heart rate on the chart as the first value, and the number of tallies for that heart rate as the frequency.

  • Page 24

    Ï Sx Îx ¹ 2. Press " to Ï to see the average heart rate. n Ï Sx Îx ¹ 62.27272727 3. Press " " " to Òx Òx ¹ 1370 TI-34 Û: A Guide for Teachers (Continued) should equal Òx...

  • Page 25

    1. Use the following table to record your class or group data (resting). Heartbeats per minute 2. What is the class (group) average? 3. What is the total number of heartbeats for the minute? © 1999 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Frequency (resting) TI-34 Û: A Guide for Teachers...

  • Page 26

    4. Use the following table to record your class or group data (running). Heartbeats per minute 5. What is the class (group) average? 6. What is the total number of heartbeats for the minute? © 1999 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Frequency (running) TI-34 Û: A Guide for Teachers...

  • Page 27

    Note:If the class (or individual) heart rate after jumping jacks is less than 90, then you are in great shape. If it is higher than 125, then you are in poor shape. © 1999 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Frequency (jumping) TI-34 Û: A Guide for Teachers...

  • Page 28

    How are the histograms the 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 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Running Jumping TI-34 Û: A Guide for Teachers...

  • Page 29: Wnba Stats, 2-variable Statistics

    WNBA Stats—2-Variable Statistics Overview Students use WNBA Statistics to explore the relationship between 2 variables. They use the TI-34 Û to compute the regression equation and evaluate some values. Activity Present the following problem to students: Do you think WNBA (Women’s National Basketball...

  • Page 30: 2-variable Statistics

    7. Press " to  1. Press "" to 2. Press <. 3. Type TI-34 Û: A Guide for Teachers (Continued) F 0 1 2 3 4 5 6 7 8 9 F 0 1 2 3 4 5 6 7 8 9 n Ï...

  • Page 31

    © 1999 T EXAS NSTRUMENTS NCORPORATED  1. Press u. n Ï Sx Îx Ð 12.00 2. Press ! ! to x¢ y¢ 3. Press <. 4. Type E and press <. x’(35) 17.92 TI-34 Û: A Guide for Teachers (Continued) x¢...

  • Page 32

    .426 © 1999 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Points per Rebounds per Game Game 10.1 13.3 22.7 12.9 12.9 11.7 TI-34 Û: A Guide for Teachers Minutes per Game 21.7 31.6 21.9 33.6 16.7 13.2 29.2 13.6...

  • Page 33

    2-Variable Statistics Extension Use the calculator to investigate the correlation of the other data in the chart such as the relation of field-goal percentage to minutes per game, or rebounds per game to minutes per game. (Remember, since you have already entered the minutes in Y, you only need to enter the new data in X.)

  • Page 34: My Favorite Recipe, Fractions

    • simplifying fractions ³ 1. Before you begin, be sure 2. Press <. ³ ³ ³ TI-34 Û: A Guide for Teachers Materials • TI-34 Û • pencil • student activity (page 30) that the calculator is in mixed-number mode.

  • Page 35: Fractions

    Teaspoon measures: total = 6 tsp. = 2 T. = 5 eggs = 1 ¼ C. 2. Using the TI-34 Ö, find the total volume of the recipe ingredients in cups. cups 3. Next, convert the total number of cups into quarts.

  • Page 36

    Ingredient a. 5 eggs b. Other ingredients (Salt, baking powder, baking soda, vanilla) © 1999 T EXAS NSTRUMENTS NCORPORATED Name ___________________________ Date ___________________________ Cup Measurement _________________ cups _________________ cups TI-34 Û: A Guide for Teachers...

  • Page 37

    2. Using the TI-34 Ö, add all the measurements in the recipe. Amount (in cups) 3. Using the TI-34 Ö, convert the total number of cups into number of quarts. ________________ cups = _____________ quarts 4. Would all the ingredients fit in the 5-quart bowl? 5.

  • Page 38: Sewing Costumes, Fractions

    Sewing Costumes—Fractions Overview Students will use the fraction capability of the TI-34 Û calculator to determine if enough material is available to make a given number of costumes. They will also determine how much more is needed or how much extra they have.

  • Page 39

    Sewing Costumes—Fractions Procedure 1. 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. yards 2. Next, simplify the result. The total yardage needed is 33 ¼ yards, but you only have 23 yards.

  • Page 40

    Sewing Costumes— Fractions 1. Using the TI-34 Ö, practice multiplying mixed numbers by whole numbers. a. 3 x 7 = b. 9 x 4 = c. 4 x 5 = d. 7 x 3 = 2. Practice subtracting mixed numbers.

  • Page 41

    If you do, do you have any extra? How much? Do you need more? How much? Procedure 1. Using the TI-34 Ö, compute how many yards of material are needed for the costumes by multiplying the amount needed for each costume by the number of costumes.

  • Page 42

    Editing the Display Basic Math Order of Operations Stored Operations Decimals and Decimal Places Memory Fractions Powers, Roots, and Reciprocals Probability Statistics Trigonometry Notation Logarithms/Antilogarithms Angle Settings and Conversions Polar Í Rectangular Conversions Math Menu TI-34 Û: A Guide for Teachers Ö...

  • Page 43: Ti-34 Ü Basic Operations

    TI.34 Ü Basic Operations 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.

  • Page 44

    Arrows, Equals, On, Second, Off Enter 46 - 23. Change 46 to 41. Change 23 to 26 and complete the operation. Enter 81 + 57 and complete the operation. Scroll to see your previous entries. Press 46 U 23 !!!!1 ""...

  • Page 45

    Press © " < 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.

  • Page 46

    Last Answer (Ans) Use Last Answer (Ans) to calculate (2+2) Press 2 T 2 < « < © 1999 T EXAS NSTRUMENTS NCORPORATED Display º TIN34 Û: A Guide for Teachers %«...

  • Page 47: Editing The Display

    © 1999 T EXAS NSTRUMENTS NCORPORATED Notes The examples on the transparency masters assume all default settings. Pressing - does not affect the memory, statistical registers, angle units, or numeric notation. TI-34 Û: A Guide for Teachers...

  • Page 48

    Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem. Press 4569 T !!!!!! """"  < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 4569+285 459+285 459+2865 459+2865 º 3324. TI-34 Û: A Guide for Teachers J%...

  • Page 49

    Clear Enter 21595. Clear the 95. Clear the entry. Press 21595 !! - (Clear to right of cursor) (Clear entry) © 1999 T EXAS NSTRUMENTS NCORPORATED Display 21595 TI-34 Û: A Guide for Teachers...

  • Page 50: Basic Math

    NSTRUMENTS NCORPORATED Notes The examples on the transparency masters assume all default settings. The 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.

  • Page 51

    78 W 2 < 12 D 5 T 6 E < (The last example illustrates implied multiplication) © 1999 T EXAS NSTRUMENTS NCORPORATED Display 2+54-6 º 16”21 º 336. 78÷2 º 12(5+6) º 132. TI-34 Û: A Guide for Teachers TUVW <...

  • Page 52

    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 - 3+12 º M 3 T 12 < TI-34 Û: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...

  • Page 53

    Percent Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press ¢ V 80 < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 15%”80 º TI-34 Û: A Guide for Teachers %¢...

  • Page 54: Order Of Operations

    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 TI-34 Û: A Guide for Teachers...

  • Page 55

    Conversions (% < completes all operations and closes all (last) open parentheses. © 1999 T EXAS NSTRUMENTS NCORPORATED › Ä Å ” , Q, R and 8DMS). TI-34 Û: A Guide for Teachers ’ or % Æ , r). Ÿ...

  • Page 56

    D 1 T 2 E V 3 < Order of operations used in these examples 1. Expressions in parentheses 2. Multiplication/division 3. Addition/subtraction © 1999 T EXAS NSTRUMENTS NCORPORATED Display 1+2”3 Display (1+2)”3 º TI-34 Û: A Guide for Teachers TVDE...

  • Page 57: Stored Operations

    (You do not have to press <.) You can set the TI-34 Û to display only the counter and the result (excluding the entry). Press % n or % p, press ! until the = is highlighted (Ù).

  • Page 58

    Initialize using 4: Add 1 one at a time: © 1999 T EXAS NSTRUMENTS NCORPORATED Display OP1 = OP1 = +1 4 + 1 º 5 + 1 º 6 + 1 º TI-34 Û: A Guide for Teachers m%™...

  • Page 59

    Press Store the operation: ™ T 5 < Initialize using 0: Use the stored operation: Continued © 1999 T EXAS NSTRUMENTS NCORPORATED Display OP1 = OP1 = +5 TI-34 Û: A Guide for Teachers m%™...

  • Page 60

    Multiplication as “repeated addition” (Continued) © 1999 T EXAS NSTRUMENTS NCORPORATED 10+5 º 15+5 º TI-34 Û: A Guide for Teachers m%™...

  • Page 61

    Store the operation: š V 5 < Initialize using 1: C o n t i n u e d © 1999 T EXAS NSTRUMENTS NCORPORATED Display OP2 = OP2 = ×5 1”5 º TI-34 Û: A Guide for Teachers o%š...

  • Page 62

    Powers as “repeated multiplication” © 1999 T EXAS NSTRUMENTS NCORPORATED (Continued) 5”5 º 25”5 º 125. TI-34 Û: A Guide for Teachers o%š...

  • Page 63

    Use this formula to find the volume of each cube. V = base Store the operation: š G 3 < Use the stored operation: © 1999 T EXAS NSTRUMENTS NCORPORATED OP2= OP2=^3 º º º TI-34 Û: A Guide for Teachers o%š...

  • Page 64: Decimals And Decimal Places

    For example, when the decimal is set to 2 places, 0.147 becomes 0.15 when you press <. The TI-34 Û also rounds or pads resulting values with trailing zeros to fit the selected setting.

  • Page 65

    FIX setting. Press 12 8 345 ª < ª ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display 12.345 F0123456789 12.345 12.345 º 12.35 12.345 º 12.3 12.345 º 12.345 TI-34 Û: A Guide for Teachers 8%ª...

  • Page 66: Memory

    When you select a variable 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 . TI-34 Û: A Guide for Teachers ) is displayed...

  • Page 67

    W 4 < < < W 2 < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 96+76+83 º 255. Ans÷3 º Ans ¹ A º 92+83+97+86 º 358. Ans÷4 º 89.5 Ans+A º 174.5 Ans÷2 º 87.25 TI-34 Û: A Guide for Teachers...

  • Page 68

    EXAS NSTRUMENTS NCORPORATED Display 7.98÷3 º 2.66 Ans ¹ A º 2.66 9.48÷4 º 2.37 Ans ¹ B º 2.37 A B C D E 2.66 A B C D E 2.37 TI-34 Û: A Guide for Teachers L% ¨...

  • Page 69

    © 1999 T EXAS NSTRUMENTS NCORPORATED Cost 2 $13.98 ea. 3 $ 7.98 ea. $ 6.98 $ 9.98 Display 2”13.98 º 27.96 A B C D E Ans ¹ A º 27.96 3”7.98 º 23.94 TI-34 Û: A Guide for Teachers L%¨...

  • Page 70

    < < © 1999 T EXAS NSTRUMENTS NCORPORATED (Continued) Display Ans ¹ B º 23.94 6.98+9.98 º 16.96 Ans ¹ C º 16.96 27.96+ º ¸ .96+23.94+ º 27.96+23.94 ¹ º 68.86 TI-34 Û: A Guide for Teachers L %¨...

  • Page 71

    You can enter a fraction or mixed number anywhere you can enter a decimal value. You can use fractions and decimals together in a calculation. Fractional results and entries are automatically reduced to their lowest terms. (continued) TI-34 Û: A Guide for Teachers...

  • Page 72

    3 digits, and the denominator can be up to the value 1,000. For a simple fraction, the numerator can be up to 6 digits and the denominator can be up to the value 1,000. © 1999 T EXAS NSTRUMENTS NCORPORATED TI-34 Û: A Guide for Teachers...

  • Page 73

    © 1999 T EXAS NSTRUMENTS NCORPORATED à of the à of the Display If %~=Auto: 5/6 + 1/10 º 14 / 15 5/6 + 1/10 º 28 / 30 NàD&nàd Ans¾Simp º 14 / 15 TI-34 Û: A Guide for Teachers >}...

  • Page 74

    8 T 2 @ 3 > 4 < If %~=d/e © 1999 T EXAS NSTRUMENTS NCORPORATED à pounds at Display If %~=A−b/c 4†3/8+2†3/4 º 7†1 / 8 4†3/8 + 2†3/4 º 57 / 8 TI-34 Û: A Guide for Teachers @>...

  • Page 75

    < Show the mixed number again. ” < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 3†1/2 3†1/2¾A ½ ¾ 3†1/2¾A c½ ¾ º 7 / 2 Ans¾A ½ ¾ º 3†1 / 2 TI-34 Û: A Guide for Teachers %”...

  • Page 76

    Mary swims 20 laps in à minutes. Change Mary’s time to a decimal to determine who swims faster. Press 5 @ 3 > < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 5†3/4¾D 5†3/4¾D º 5.75 TI-34 Û: A Guide for Teachers...

  • Page 77

    } < < ” < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 2.25¾F º 225 / 100 N/D¹n/d Ans¾Simp º 45 / 20 Ans¾Simp º 9 / 4 Ans¾A ½ ¾ º 2†1 / 4 TI-34 Û: A Guide for Teachers...

  • Page 78

    Press ! or " to move to the number of decimal places you want, and then press <, or Press the number key that corresponds to the number of decimal places you want. The transparency masters show both ways. TI-34 Û: A Guide for Teachers...

  • Page 79

    C = 2pr = 2 x p x 1.5m Press Display 2” ”1.5 º 2 V g V 9.424777961 1.5 < TI-34 Û: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...

  • Page 80

    A = pr = p x 4 Press g V 4 F < ª " < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display ×4 º 50.26548246 F0123456789 ×4 º ×4 º 50.26548246 TI-34 Û: A Guide for Teachers...

  • Page 81: Powers, Roots, And Reciprocals

    Refer to 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: .5 = .25...

  • Page 82

    A = x = 27.4 Press 27.4 F < 27.4 G 2 < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 27.4 º 750.76 27.4^2 º 750.76 TI-34 Û: A Guide for Teachers...

  • Page 83

    Round your answer to 0 decimal places. L = x = 3 of carpet Press ¥ < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display ‹(3) º 1.732050808 ‹(3) º TI-34 Û: A Guide for Teachers %¥...

  • Page 84

    Change your answer to a fraction. V = L = 2.3 Press 2 8 3 G 3 < R < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 2.3^3 º 12.167 Ans¾F º 12−167/1000 TI-34 Û: A Guide for Teachers...

  • Page 85

    How many sections would there be after 10 folds? After 15 folds? Press 2 G10 < 2 G15 < © 1999 T EXAS NSTRUMENTS NCORPORATED Display 2^10 º 1024. 2^15 º 32768. TI-34 Û: A Guide for Teachers...

  • Page 86

    %Ÿ Roots If the volume of a cube is 125 cm what is the length of each side? Press Display ‹125 Ÿ º < TI-34 Û: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...

  • Page 87

    5 @1 >3 ¡ < © 1999 T EXAS NSTRUMENTS NCORPORATED 10 hrs. 5 hrs. à hrs. Display ¾F º 1 / 10 ¾F º 2/10 N/D¹n/d Ans¾Simp º 5†1/3 º 3 / 16 TI-34 Û: A Guide for Teachers %¡...

  • Page 88: Probability

    RAND just as you would store values to memory variables. The seed value changes randomly every time a random number is generated. , use a comma to separate the RANDI two numbers that you specify. TI-34 Û: A Guide for Teachers...

  • Page 89

    Press 4 H " 2 < © 1999 T EXAS NSTRUMENTS NCORPORATED AB AC AD BA BC BD CA CB CD DA DB DC Display nPr nCr ! ¹ 4 nCr 2 º TI-34 Û: A Guide for Teachers...

  • Page 90

    AB and BA count as 2 permutations. Press 2 < © 1999 T EXAS NSTRUMENTS NCORPORATED AB AC AD BA BC BD CA CB CD DA DB DC Display nPr nCr ! ¹ 4 nPr º TI-34 Û: A Guide for Teachers...

  • Page 91

    DBAC Press 4 H " " < < © 1999 T EXAS NSTRUMENTS NCORPORATED ACDB ADBC ADCB BCDA BDCA BDAC CBDA CDAB CDBA DBCA DCAB DCBA Display nPr nCr ! ¹ -- -- º TI-34 Û: A Guide for Teachers...

  • Page 92

    Generate a sequence of random numbers. Press H " " " < < < Results will vary. © 1999 T EXAS NSTRUMENTS NCORPORATED Display ¸ RAND RANDI ----- -- RAND º 0.839588694 RAND º 0.482688185 TI-34 Û: A Guide for Teachers...

  • Page 93

    Press 1 L ! < H""" << < © 1999 T EXAS NSTRUMENTS NCORPORATED Display ¸ rand ----- -- 1083958869. 1 ¹ rand º RAND º 0.000018633 RAND º 0.745579721 TI-34 Û: A Guide for Teachers...

  • Page 94

    Generate a random integer between 2 and 10. Press < 2 ¬ 10 E < Results will vary. © 1999 T EXAS NSTRUMENTS NCORPORATED Display ¸ RAND RANDI ------ -- ¸ ANDI( 2, 10) ~ RANDI( 2,10)¹º TI-34 Û: A Guide for Teachers...

  • Page 95: Statistics

    To save the last data point or frequency value entered, you must press < or $. You can change data points once they are entered. TI-34 Û: A Guide for Teachers mode. EXIT ST: Y N (yes) is (no) is underlined...

  • Page 96

    ( C o n t i n u e d ) © 1999 T EXAS NSTRUMENTS NCORPORATED Display 1-VAR 2-VAR ¹ ----- Ó STAT X1=85 Ó STAT FRQ=1 Ó STAT FRQ=2 Ó STAT X2=97 Ó STAT X3=53 Ó STAT X4=77 Ó STAT TI-34 Û: A Guide for Teachers %...

  • Page 97

    ‡ Sx „x ¹ STAT n ‡ Sx „x ¹ 79.4 STAT n ‡ Sx „x ¹ 16.39512123 STAT n ‡ Sx „x ¹ 14.66424222 STAT ¸Š” Šx 397. STAT ¸Š” Šx 32597. STAT TI-34 Û: A Guide for Teachers...

  • Page 98

    % CLRDATA. © 1999 T EXAS NSTRUMENTS NCORPORATED Display X1=85 Ó STAT X3=53 Ó STAT FRQ=0 Ó STAT n ‡ Sx s x ¹ STAT EXIT ST: Y N STAT and select TI-34 Û: A Guide for Teachers %ž...

  • Page 99

    ( C o n t i n u e d ) © 1999 T EXAS NSTRUMENTS NCORPORATED Brand A (y) 35 (Y1) 28 (Y2) Display 1-VAR 2-VAR ¹ ------ Ó STAT Ó STAT Ó STAT Ó STAT Ó STAT Ó STAT TI-34 Û: A Guide for Teachers %v...

  • Page 100

    To remain in STAT mode and clear  data, press % CLRDATA. © 1999 T EXAS NSTRUMENTS NCORPORATED (Continued) Display ¸ xÅ y Å STAT y(32) 18.45454545 STAT EXIT ST: Y N STAT and select TI-34 Û: A Guide for Teachers %...

  • Page 101: Trigonometry

    , cos, 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. TI-34 Û: A Guide for Teachers...

  • Page 102

    Press œ 78 W % !! 27 E < ª " < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display 78÷tan (27) º 153.0836194 F0123456789 78÷tan (27) º 153. 78÷tan (27) º 153.0836194 TI-34 Û: A Guide for Teachers %œ...

  • Page 103

    TAN x = 600/2500 Press œ 600 W 2500 E < ª " " < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display (600÷25 ¹ 13.49573328 F0123456789 (600÷25¹º 13.5 (600÷25¹º 13.49573328 TI-34 Û: A Guide for Teachers %œ...

  • Page 104

    D = 5 x COS 75 Press œ "" 75 E < ª " < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display 5cos(75) º 1.294095226 F0123456789 5cos(75) º 5cos(75) º 1.294095226 TI-34 Û: A Guide for Teachers %œ...

  • Page 105

    COS x = 453/500 Press œ """ 453 W 500 E < ª "" < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display (453÷50 ¹ 25.04169519 F0123456789 (453÷50¹ º 25.0 (453÷50¹ º 25.04169519 TI-34 Û: A Guide for Teachers %œ...

  • Page 106

    D = 1.5/SIN 12 Press 1 8 5 W œ 12 E < ª " < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display 1.5÷sin(12)¹ º 7.214601517 F0123456789 1.5÷sin(12) º 1.5÷sin (12) º 7.214601517 TI-34 Û: A Guide for Teachers %œ...

  • Page 107

    SIN x = 13/20 Press œ " 13 W20E< ª "" < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display (13÷20)¹ º 40.54160187 F0123456789 (13÷20)¹ º 40.5 (13÷20)¹ º 40.54160187 TI-34 Û: A Guide for Teachers %œ...

  • Page 108: Notation

    Results 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. TI-34 Û: A Guide for Teachers...

  • Page 109

    Earth is from Jupiter. Press Display 7.783€8-1.4 ¹º 7 8 783 C 628700000. 8 U 1 8 496 C 8 < TI-34 Û: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...

  • Page 110

    (e raised to the power of the value). © 1999 T EXAS NSTRUMENTS NCORPORATED Notes The examples on the transparency masters assume all default settings. E ends a logarithmic function. TI-34 Û: A Guide for Teachers...

  • Page 111

    Press › E < ª › "" 23 E < ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display log(23) º 1.361727836 F0123456789 log(23) º 1.3617 ln(23) º 3.1355 ln(23) º 3.135494216 TI-34 Û: A Guide for Teachers %›...

  • Page 112

    › " 3 8 9824 E< ª › 3 8 9824 E< ª © 1999 T EXAS NSTRUMENTS NCORPORATED Display ^(3.9824) º 9602.846792 F0123456789 ^(3.9824) º 9602.8468 e^(3.9824) º 53.6456 e^(3.9824) º 53.64562936 TI-34 Û: A Guide for Teachers %›...

  • Page 113

    For decimal/DMS conversions, the calculator interprets all values as degrees, regardless of the angle-unit setting. DMS angles are entered as Ä (degrees), Å (minutes), and Æ (seconds). TI-34 Û: A Guide for Teachers...

  • Page 114

    ¡ Å Æ r ¹ 2 ¡ ¡ Å Æ r ¹ 2 ¡ 5 Å +1 ¡ 2 ¡ 5 Å +1 ¡ 46 Å 3.85 ¸ ¾DMS ---- Ans¾DMS 3¡ 51Å 0Æ TI-34 Û: A Guide for Teachers...

  • Page 115

    Minutes, and Seconds How much is of an hour in hours, minutes, and seconds? Press 2 > 3 << © 1999 T EXAS NSTRUMENTS NCORPORATED Display ¸ ¾DMS ----- 2/3¾DMS º 0¡ 40Å 0Æ TI-34 Û: A Guide for Teachers >=...

  • Page 116

    Press œ E< Ž " < < Ž < < © 1999 T EXAS NSTRUMENTS NCORPORATED Display sin(30) DEG RAD sin(30) º -0.988O31624 DEG RAD sin(30) º TI-34 Û: A Guide for Teachers Ž...

  • Page 117

    Y 2. % ` enters a comma. © 1999 T EXAS NSTRUMENTS NCORPORATED Notes The example on the transparency master assumes all default settings. Before starting calculations, set angle mode as necessary. TI-34 Û: A Guide for Teachers...

  • Page 118

    (6.062177826, 3.5). © 1999 T EXAS NSTRUMENTS NCORPORATED (x = ?, y = ?) Display ¸ P¾R” P¾R ---- P ¾ R”(7,30) 6.062177826 ¸ P ¾ R” P ¾ R ---- P ¾ Ry(7,30) TI-34 Û: A Guide for Teachers %’...

  • Page 119: Math Menu

    %` must separate the two values. The closing parenthesis following function names is optional. TI-34 Û: A Guide for Teachers ) Returns the least common and n ) Returns the greatest ): Returns the...

  • Page 120

    Absolute Value Find the absolute value of -35. Press £ < M 35 E < © 1999 T EXAS NSTRUMENTS NCORPORATED Display abs round abs( abs(-35) abs(-35) TI-34 Û: A Guide for Teachers %£...

  • Page 121

    Rounding a number Round p to three digits. Press £" ¬ 3 E < © 1999 T EXAS NSTRUMENTS NCORPORATED Display abs round ----- ¹ round( º 3.142 TI-34 Û: A Guide for Teachers %£...

  • Page 122

    " " 4 @3 >8 E < £ """ 4 @ 3 > 8 E < © 1999 T EXAS NSTRUMENTS NCORPORATED Display iPart fPart ¹ ----- ¸ ¸ iPart(4†3/8 ¹º fPart(4†3/8 ¹º TI-34 Û: A Guide for Teachers %£...

  • Page 123

    The list in ascending order: { à à © 1999 T EXAS NSTRUMENTS NCORPORATED à Display ¸ min max ¹ ---- max(7/9,14/ º 14/17 max(7/9,3/5 ¹º max(7/9,13/ º 13/15 max(14/17,1 ¹º 13/15 à à TI-34 Û: A Guide for Teachers %£...

  • Page 124

    V e r i f y : 1 >4 T 5 > 6 < 12 + 12 = © 1999 T EXAS NSTRUMENTS NCORPORATED à . Then Display ¸ lcm ¹ lcm(4,6) 1/4+5/6 13/12 TI-34 Û: A Guide for Teachers %£...

  • Page 125

    27 % 36 E < 27 > 36 W 9 > 9 < © 1999 T EXAS NSTRUMENTS NCORPORATED à . Then verify Display lcm gcd ¹ ¸ ¸ gcd(27,36) 27/36 ¾ 9/9 TI-34 Û: A Guide for Teachers %£...

  • Page 126

    Cube and Cube Root Calculate 34 Press £ 34 % < < £ < « < © 1999 T EXAS NSTRUMENTS NCORPORATED 39304 . Display ‹ ¸ ¹ 39304. ‹ ¸ ¹ ‹(Ans TI-34 Û: A Guide for Teachers %£...

  • Page 127

    8 V 4 < £ ! 36 ¬ 32 E < You will have 4 seats left over. © 1999 T EXAS NSTRUMENTS NCORPORATED Display 16”8 128. --------- ¸remainder remainder(1 ¹º 36÷8 8”4 remainder(3 ¹º TI-34 Û: A Guide for Teachers %£...

  • Page 128

    Calculates the specified root (x) of the value. © 1999 T EXAS NSTRUMENTS NCORPORATED Specifies degrees Specifies minutes Specifies seconds Specifies radians Lets you convert an angle from decimal degrees to DMS notation (degrees, minutes, and seconds). TI-34 Û: A Guide for Teachers...

  • Page 129

    Displays the following menu that lets you set the number of decimal places. F 0 1 2 3 4 5 6 7 8 9 © 1999 T EXAS NSTRUMENTS NCORPORATED (Continued) mode. STAT Sets floating decimal (standard) notation Sets number of decimal places TI-34 Û: A Guide for Teachers...

  • Page 130

    Finds the greatest common divisor (gcd) of two values, X and X Calculates the cube of #. Calculates the cube root of #. ) Returns the remainder resulting from the division of two values, # TI-34 Û: A Guide for Teachers and # by #...

  • Page 131

    Press < when N (no) is underlined to return to the previous screen without resetting the calculator. Press < when Y (yes) is underlined to reset the calculator. The message MEM CLEARED is displayed. Also, press & and - simultaneously to reset the calculator immediately.

  • Page 132

    Lets you select 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. TI-34 Û: A Guide for Teachers , or 1-VAR, 2-VAR mode.

  • Page 133

    Separates a whole number from the fraction in a mixed number. © 1999 T EXAS NSTRUMENTS NCORPORATED (Continued) Calculates the sine. Calculates the inverse sine. Calculates the cosine. Calculates the inverse cosine. Calculates the tangent. Calculates the inverse tangent. TI-34 Û: A Guide for Teachers...

  • Page 134

    An entry is stored in history before and/or after the active screen. Press # and $ to scroll. ¸ ¹ An entry or menu displays beyond 11 digits. Press ! or " to scroll. © 1999 T EXAS NSTRUMENTS NCORPORATED TI-34 Û: A Guide for Teachers...

  • Page 135

    8 pending values, or having misplaced functions, arguments, parentheses, or commas. © 1999 T EXAS NSTRUMENTS NCORPORATED : | x | > 1. or COS , where q is an angle in a trig or R4Pr function. TI-34 Û: A Guide for Teachers...

  • Page 136

    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: www.ti.com/calc Product Customers in the U.S.

  • Page 137

    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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