Texas Instruments TI-30X Teachers Guide

Texas Instruments TI-30X - IIS Scientific Calculator Manual

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  • Texas Instruments TI-30X | Teachers Guide - Page 1
    TI-30X ÚS: A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Hanson and Aletha Paskett Illustrated by Jay Garrison
  • Texas Instruments TI-30X | Teachers Guide - Page 2
    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 other than the TI-30X IIS of the photocopying services. www.ti.com/calc [email protected] Copyright © 1999 Texas Instruments Incorporated. Except
  • Texas Instruments TI-30X | Teachers Guide - Page 3
    or to request information about Texas Instruments (TI) calculators, use our e-mail address: [email protected] visit our TI calculator home page: www.ti.com/calc or, call our toll-free number: 1.800.TI.CARES (1.800.842.2737) © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X IIS: A Guide for Teachers iii
  • Texas Instruments TI-30X | Teachers Guide - Page 4
    Powers, Roots, and Reciprocals 11 Probability 12 Statistics 13 Trigonometry ii How to Use the TI-30X ÚS (continued) iii 14 Support and Service Information 23 Appendix E E-1 Warranty Information 29 33 36 40 43 45 47 52 58 61 68 75 8 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 5
    The Better Batter - The FIX Key 2 Star Voyage - 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 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 1
  • Texas Instruments TI-30X | Teachers Guide - Page 6
    use % , on the TI-30X ÙS to change numbers to different place values. Students calculate batting averages using the TI-30X ÙS and then round their answers to three decimal places. Math Concepts Materials • rounding • TI-30X © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 2
  • Texas Instruments TI-30X | Teachers Guide - Page 7
    388 74 63 284 367 280 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 0.238 0.225 0.297 0.311 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 3
  • Texas Instruments TI-30X | Teachers Guide - Page 8
    Key Date Problems 1. Round the following numbers to 3 decimal places. a. 2.35647 b. 15.3633 c. 0.02698 2. Using the TI-30X ÙS, 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-30X ÙS: A Guide for
  • Texas Instruments TI-30X | Teachers Guide - Page 9
    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-30X ÙS: A Guide for Teachers 5
  • Texas Instruments TI-30X | Teachers Guide - Page 10
    by changing numbers into scientific notation, and then using them in calculations. Math Concepts • scientific notation • addition • division Materials • TI-30X ÙS • pencil • student activity Introduction Set up the activity by telling your students: The standard form for scientific notation is
  • Texas Instruments TI-30X | Teachers Guide - Page 11
    Scientific Notation (Continued) Activity Present the following problem Procedure 1. Using the TI-30X ÖS, calculator is in scientific notation mode before you beginning addition. Hint: The Earth is approximately 9.3 x 107 miles from the Sun. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 12
    0.0000000004 3. Using the TI-30X ÖS, 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-30X ÙS: A Guide for Teachers
  • Texas Instruments TI-30X | Teachers Guide - Page 13
    - Scientific Notation Name Date Problem You on time? Procedure 1. Using the TI-30X ÖS, find the total distance that you need to travel Hint: Make sure your calculator is in scientific notation mode before you Sun. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 9
  • Texas Instruments TI-30X | Teachers Guide - Page 14
    ratios, and solve problems involving trigonometric ratios. 9455 0.6009 0.9063 3. Have students find the measure of each angle using the TI-30X ÙS. Round to the nearest degree. a. sin B = 0.4567 b. % , 0. sin-1(.4567) 27. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 10
  • Texas Instruments TI-30X | Teachers Guide - Page 15
    to build 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 to find ³ 1. Press % \. tan-1( 2. Enter 1.5 ¾ 15 and press
  • Texas Instruments TI-30X | Teachers Guide - Page 16
    nearest ten thousandth. a. sin 71º b. tan 31º c. cos 25º 3. Using the TI-30X ÙS, 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-30X ÙS: A Guide for Teachers 12
  • Texas Instruments TI-30X | Teachers Guide - Page 17
    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-30X ÙS: A Guide for Teachers 13
  • Texas Instruments TI-30X | Teachers Guide - Page 18
    Statistics Overview Students use the given test scores to find averages. Introduction Discuss finding averages with your students. Activity Present the following problem to students: average. Write it down. n v Sx sx ¹ 92.6 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 14
  • Texas Instruments TI-30X | Teachers Guide - Page 19
    Who won? Your friend: 93 (You had 92.6.) Extension Present the following problem to students: Your friend took a test on the day you were absent Use guess and check to figure out what score you need to get. 4. To exit STAT mode, press % w
  • Texas Instruments TI-30X | Teachers Guide - Page 20
    What's My Score? - Name 1-Variable Statistics Date Problems 1. You and your friend are having a contest. Whoever gets the highest average on their that you are the winner? Your friend’s new average Your new score © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 16
  • Texas Instruments TI-30X | Teachers Guide - Page 21
    Heart Rates - 1-Variable Statistics Overview Students use the statistics functions of the TI-30XÙS calculator to investigate the effect of exercise on entering until you have entered all the heart rates and frequencies. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 17
  • Texas Instruments TI-30X | Teachers Guide - Page 22
    jumping jacks for 2 minutes. Instruct them to time their pulse for 1 minute again and record as before. Have them enter the data into the calculator again and calculate the average heart rate after the heart rate readings. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 18
  • Texas Instruments TI-30X | Teachers Guide - Page 23
    exercising? Procedure 1. Use this 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-30X ÙS: A Guide for Teachers
  • Texas Instruments TI-30X | Teachers Guide - Page 24
    Statistics Date 4. Use this 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-30X ÙS: A Guide for Teachers 20
  • Texas Instruments TI-30X | Teachers Guide - Page 25
    Heart Rates - Name 1-Variable Statistics Date 7. Use this table to record your class or group data (jumping). Heartbeats per minute (jumping) Frequency 8. shape. If it is higher than 125, then you are in poor shape. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 21
  • Texas Instruments TI-30X | Teachers Guide - Page 26
    same? How are they different 13. Is the data grouped the same or is it more spread out in one graph compared to another © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 22
  • Texas Instruments TI-30X | Teachers Guide - Page 27
    to the player’s field-goal percentage? Procedure 1. Put the calculator in STAT mode and choose 2-VAR statistics. 2. Using the table in the activity, enter the data. Enter points Press $ after entering each data point. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 23
  • Texas Instruments TI-30X | Teachers Guide - Page 28
    coefficient. r = .91 6. Now calculate how many minutes you would expect line. Ò XY a b r 7.02 3. Press " to r. This is the correlation coefficient. ÒXY a b r 0.91  1. Press " " to y¢. x¢ y¢ 2. Press
  • Texas Instruments TI-30X | Teachers Guide - Page 29
    What about defense, rebounding, etc.? Extension Now have students use the calculator to investigate the correlation of the other data in the chart 2. Press ! ! to x¢. x¢ y¢ 3. Press
  • Texas Instruments TI-30X | Teachers Guide - Page 30
    12.9 .482 12.9 .509 6.7 .297 4.8 .484 11.7 .294 1.9 .467 4.9 .426 3.3 Rebounds per Game 4.3 6.5 3.6 3.7 9.3 7.6 3.3 .8 6.9 .9 1.9 1.9 Minutes per Game 21.7 31.6 21.9 35 33.6 28 16.7 13.2 29.2 8.1 13.6 6.5 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 26
  • Texas Instruments TI-30X | Teachers Guide - Page 31
    Name Date Extension Use the calculator to investigate the line of best fit. 8. Write the correlation coefficient. 9. Which 2 variables have the closest correlation? (That is, which have the correlation coefficient closest to 1 or –1?) © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 32
    How to Use the TI-30X ÚS TI-30X ÚS Basic Operations 29 Clear, Insert, and Delete 33 Basic Math 36 Order of Operations 91 Angle Settings and Conversions 94 Polar and Rectangular Conversions 98 Hyperbolics 100 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 28
  • Texas Instruments TI-30X | Teachers Guide - Page 33
    Resetting the calculator:  Returns settings to their defaults: floating decimal (standard) notation line. 3 • Press & after Automatic Power Downé (APDé). The display, pending operations, 1 4 settings, and memory are retained. 7 5 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 34
    your previous entries. Press 46 U 23 Display 46-23 ! ! ! ! 1 41-26 " " 6 < 81 T 57 < 81+57 %¥ & # # $ ~ 81+57 DEG ' 15. DEG ' 138. DEG ' DEG ' DEG %¥ ! " # $ < © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 30
  • Texas Instruments TI-30X | Teachers Guide - Page 35
    DEG MEM CLEARED - DEG ~ DEG 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 TI-30X ÙS: A Guide for Teachers 31
  • Texas Instruments TI-30X | Teachers Guide - Page 36
    Last Answer (Ans) Use Last Answer (Ans) to calculate (2+2)2. Press 2 T 2 < %ª F < Display 2+2 Ans2 4. DEG ' 16. DEG %ª © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 32
  • Texas Instruments TI-30X | Teachers Guide - Page 37
    cursor. Hold J down to delete all characters to the right. Then, each time you press J, it deletes 1 character to the left of the cursor. 2 3 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 33
  • Texas Instruments TI-30X | Teachers Guide - Page 38
    Delete, Insert Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem. Press Display 4569 T 285 4569+285 ! ! ! ! ! ! J " " " " %' 6 < DEG 459+285 DEG 459+2865 DEG 459+2865 ' 3324. DEG J %' © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 34
  • Texas Instruments TI-30X | Teachers Guide - Page 39
    Clear Enter 21595. Clear the 95. Clear the entry. Press 21595 Display 21595 DEG ! ! - 215 (Clear to right) DEG - ~ (Clear entry) DEG - © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 35
  • Texas Instruments TI-30X | Teachers Guide - Page 40
    . • The TI-30X ÙS allows implied multiplication. Example: 3 (4+3) = 21 • Do not confuse M with U. U allows subtraction. • Results of percent calculations display according to the decimal notation mode setting. 7 © 1999 TEXAS INSTRUMENTS INCORPORATED 4 3 2 1 5 6 TI-30X ÙS: A Guide for Teachers 36
  • Texas Instruments TI-30X | Teachers Guide - Page 41
    ½ 6 = 16 x 21 = 78 P 2 = 12 x (5 + 6) = Press 2 T 54 U 6 < Display 2+54-6 ' 50. DEG 16 V 21 < 16*21 ' 336. DEG 78 W 2 < 78/2 ' 39. DEG 12 V D 5 T 6 E < 12*(5+6) ' 132. DEG T U V W < © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 37
  • Texas Instruments TI-30X | Teachers Guide - Page 42
    Negative Numbers M The temperature in Utah was L3¡ 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 M 3 T 12 < Display -3+12 ' 9. DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 38
  • Texas Instruments TI-30X | Teachers Guide - Page 43
    Percent Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press 15 Display 15 %£ V 80 < 15%*80 DEG ' 12. DEG %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 39
  • Texas Instruments TI-30X | Teachers Guide - Page 44
    in which the TI-30X ÙS 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-30X ÙS: A Guide for Teachers 40
  • Texas Instruments TI-30X | Teachers Guide - Page 45
    and combinations (nCr). 8 Multiplication, implied multiplication, and division. 9 Addition and subtraction. 10 š " Conversions (% , % , and 8DMS). 11 (last) < completes all operations and closes all open parentheses. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 41
  • Texas Instruments TI-30X | Teachers Guide - Page 46
    Order of Operations 1 + 2 x 3 = Press 1 T 2 V 3 < Display 1+2*3 ' 7. DEG (1 + 2) x 3 = Press Display D 1 T 2 E V (1+2)*3 ' 3 < 9. DEG T V D E © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 42
  • Texas Instruments TI-30X | Teachers Guide - Page 47
    of the expression and evaluate it. 7. Continue pressing < to repeat the constant. The result is stored in Ans, which is displayed, and the constant is used to evaluate the new expression. 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 43
  • Texas Instruments TI-30X | Teachers Guide - Page 48
    < K = *3.25 - DEG K %™ 16 < 12 < 17 < %™ (Constant mode is off.) 16*3.25 12*3.25 17*3.25 ~ DEG K ' 52. DEG K ' 39. DEG K ' 55.25 DEG K DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 44
  • Texas Instruments TI-30X | Teachers Guide - Page 49
    standard notation (floating decimal). • The FIX setting affects all decimal results and the mantissa of Scientific and Engineering notation results. • The TI-30X notation menu. Resetting the calculator also clears the FIX setting TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 45
  • Texas Instruments TI-30X | Teachers Guide - Page 50
    F_ 0 1 2 3 4 5 6 7 8 9 DEG F 0 1 _2 3 4 5 6 7 8 9 DEG 12.345 < %© 1 %© 8 FIX 12.345 FIX 12.345 FIX 12.345 DEG ' 12.35 DEG ' 12.3 DEG ' 12.345 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 46
  • Texas Instruments TI-30X | Teachers Guide - Page 51
    on the entry line. 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. 3 2 4 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for
  • Texas Instruments TI-30X | Teachers Guide - Page 52
    ¹A ' 85.66666667 DEG 92 T 83 T 92+83+97+86 ' 97 T 86 < 358. DEG W 4 < Ans/4 ' 89.5 DEG T z < < Ans+A ' 175.1666667 DEG W 2 < Ans/2 ' 87.58333333 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 48
  • Texas Instruments TI-30X | Teachers Guide - Page 53
    ¹A ' 2.66 DEG 9 848 W 4 9.48 / 4 ' < 2.37 DEG L " < A n s ¹B ' 2.37 DEG View the first price again. %§ A_ B C D E ' 2.66 DEG View the second price again. " A _B C D E ' 2.37 DEG L %§ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 49
  • Texas Instruments TI-30X | Teachers Guide - Page 54
    spend altogether? Press 2 V 13 8 98 < L < 3 V 7 8 98 < Display 2*13.98 27.96 DEG A B C D E ¹' 27.96 DEG Ans¹A ' 27.96 DEG 3*7.98 ' 23.94 DEG L %§ Continued © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 50
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    T 9 8 98 < 6.98+9.98 ' 16.96 DEG L " " < Ans¹C ' 16.96 DEG %§ 27.96+ ' < T DEG %§ " ¸ .96+23.94+ ¹ ' < T DEG § % " " 27.96+23.94 ¹ ' 68.86 < < DEG L %§ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 51
  • Texas Instruments TI-30X | Teachers Guide - Page 56
    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 the denominator can be any number through 1000. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 52
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    Fractions At the party, you ate 5/6 of the pepperoni pizza and 1/10 of the sausage pizza. How much pizza did you eat? N Press 5 N 6 T 1 N 10 < Display 5®6+1®10 ' 14 / 15 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 53
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    Mixed Numbers A baby weighed 4 3/8 kilograms at birth. In the next 6 months, she gained 2 3/4 kilograms. How much does she weigh? Press 4 N 3 N 8 T 2 N 3 N 4 < Display 4®3®8+2®3®4 ' 7− 1/8 DEG N © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 54
  • Texas Instruments TI-30X | Teachers Guide - Page 59
    the mixed number to a fraction. 3 1/2 ¾ 1/2 = 7 %š Press Display 3 N 1 N 2 3®1®2 %š DEG 3®1®2' Ab/c , ' d/e DEG < 3®1®2' Ab/c , ' d/e' 7 / 2 DEG Show the mixed number again. %š < Ans' Ab/c , ' d/e ' 3− 1/2 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 55
  • Texas Instruments TI-30X | Teachers Guide - Page 60
    in 5.72 minutes. Mary swims 20 laps in 5 3/4 minutes. Change Mary's time to a decimal to determine who swims faster. Press 5 N 3 N 4 %" < Display 5®3®4.F, 'D DEG 5®3®4.F, 'D ' 5.75 DEG %" © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 56
  • Texas Instruments TI-30X | Teachers Guide - Page 61
    Decimal to Fraction Change 2.25 to its fractional equivalent. Press 2 8 25 %" < Display 2.25.F, 'D 2−1®4 DEG %" © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 57
  • Texas Instruments TI-30X | Teachers Guide - Page 62
    , and then press
  • Texas Instruments TI-30X | Teachers Guide - Page 63
    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 ' 9.424777961 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 59
  • Texas Instruments TI-30X | Teachers Guide - Page 64
    Area g Use this formula to find how much of a lawn would be covered by the sprinkler x 42 Press g V 4 F < %© " < %© 8 Display p*42 50.26548246 DEG F 0_ 1 2 3 4 5 6 7 8 9 DEG p*42 FIX ' 50. DEG p*42 ' 50.26548246 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 60
  • Texas Instruments TI-30X | Teachers Guide - Page 65
    under Error Messages in Appendix C for restrictions. • The result of calculations with G must be within the range of the TI-30X ÙS. • A sign change takes precedence over exponents. Example: L52 = L25 (L5)2 = 25 4 3 5 2 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 61
  • Texas Instruments TI-30X | Teachers Guide - Page 66
    Squares Use this formula to find the size of the tarp 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 ' 750.76 DEG 90^2 ' 750.76 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 62
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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 of carpet Press %œ 3 E < %© " < Display ‡(3) 1.732050808 DEG ‡(3) 2. DEG %œ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 68
    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 ' 12.167 DEG %" < Ans.F, .D ' 12−167/1000 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 64
  • Texas Instruments TI-30X | Teachers Guide - Page 69
    half again. How many sections would there be after 10 folds? After 15 folds? Press Display 2 G 10 < 2^10 ' 1024. DEG 2 G 15 < 2^15 ' 32768. DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 65
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    Roots If the volume of a cube is 125 cm3, what is the length of each side? Press 3 %¡ 125 < Display 3 xÑ125. 5. DEG %¡ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 66
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    . ? How much of each model was completed per hour? Press Sailing ship: " 10 a % < Display 10-1.F, .D ' 1 / 10 DEG Steam ship: 5 a %" < 5-1.F, .D ' 1 / 5 DEG Luxury liner: 5 N 1 N 3 a < 5®1®3 -1 ' 3 / 16 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 67
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    (L) an integer to RAND just as you would store values to memory variables. The seed value changes randomly when a random number is generated. • For RANDI, use a comma to separate the 2 numbers that you specify. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 68
  • Texas Instruments TI-30X | Teachers Guide - Page 73
    BA count as only 1 combination. CD AB AC AD BA BC BD CA CB CD DA DB DC Press 4 H " 2 < Display nPr -n-C-r ! ¹ DEG 4 nCr 2 ' 6. DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 69
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    . Use this formula to find how many different ways they can place 1st and 2nd. 4 nPr 2 = x AB AB and BA count as 2 permutations. CD AB AC AD BA BC BD CA CB CD DA DB DC Press 4 H 2 < Display n-P-r- nCr ! ¹ DEG 4 nPr 2 ' 12. DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For
  • Texas Instruments TI-30X | Teachers Guide - Page 75
    Factorial (!) Using the digits 1, 3, 7, and 9 only one time each, how many 4-digit numbers can you form? 4! = x 1 3 79 ABC CDBA DABC DACB DBAC DBCA DCAB DCBA Press 4 H " " < < Display nPr nCr -! ¹ DEG 4! ' 24. DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 71
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    Random (RAND) Generate a sequence of random numbers. Press H " " " Display ¸ R-A_N_D_ RANDI < < < < DEG RAND ' 0.839588694 DEG RAND ' 0.482688185 DEG Results will vary. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 72
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    (RAND) Set 1 as the current seed and generate a sequence of random numbers. Press 1 L ! Display ¸ r-a-n-d1083958869. DEG < < 1¹rand ' 1. DEG H " " " < < RAND ' 0.000018633 DEG < RAND ' 0.745579721 DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 73
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    Random Integer (RANDI) Generate a random integer from 2 through 10. Press H ! Display ¸ RAND -R-A-N_D_I DEG ¤ < 2 % ¸ ANDI( 2, 10) ' 10 E DEG < RANDI( 2, 10) ¹ ' 3. DEG Results will vary. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 74
  • Texas Instruments TI-30X | Teachers Guide - Page 79
    of all x or y values. Sx or Sy sx or sy Gx or Gy Gx2 or Gy2 Gxy Sample standard deviation of x or y. Population standard deviation of x or y. Sum of all x values or y values. Sum of all x 2 values or once they are entered. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 75
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    Entering 1-VAR Stat Data Five students took a math test. Using their scores, enter the data points-85, 85, 97, 53, 77. Press % " Display 1---V-A-R-- 2-VAR ¹ $ 77 < X4=77 STAT DEG S DEG S DEG S DEG S 77. DEG Continued © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 76
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    .) Find the number of data points (n), the mean (v), the sample standard deviation (Sx), the population standard deviation (sx), the sum of the scores (Gx), and the sum of DEG ¸Gx -G-x-2 32597. STAT DEG u Continued © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 77
  • Texas Instruments TI-30X | Teachers Guide - Page 82
    mode. Press v Display X1=85 S $ $ $ $ STAT DEG X3=53 S $ 0 < u " %˜ < STAT FRQ=0 STAT DEG S 0. DEG n v- Sx sx 86. STAT DEG EXIT ST: Y- N STAT DEG ~ DEG %˜ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 78
  • Texas Instruments TI-30X | Teachers Guide - Page 83
    = S 58 STAT DEG X1=58 S $ 35 STAT DEG Y1 =35 S $ 47 STAT DEG X2 =47 S $ 28 STAT DEG Y2 =28 S < STAT Y2 =28 Continued © 1999 TEXAS INSTRUMENTS INCORPORATED STAT DEG S 28. DEG TI-30X ÙS: A Guide For Teachers 79
  • Texas Instruments TI-30X | Teachers Guide - Page 84
    of Brand A. When finished, exit STAT mode and clear all data points. Press u ! Display % x' -y' < 32 E < t DEG y' (32) 18.45454545 t DEG %˜ < EXIT ST: Y- N t DEG ~ DEG u %˜ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 80
  • Texas Instruments TI-30X | Teachers Guide - Page 85
    angle mode setting (degree, radian, or gradient-See Chapter 16, Angle Settings and Conversions). The calculator interprets values according to the current angle-unit mode setting. • E ends a trig function. 6 2 5 1 4 3 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 81
  • Texas Instruments TI-30X | Teachers Guide - Page 86
    Tangent Use this formula to find the distance from the lighthouse to the boat. Round 8 Display 78/tan (27) ' 153.0836194 DEG F 0- 1 2 3 4 5 6 7 8 9 DEG 78/tan (27) ' 153. FIX DEG 78/tan (27) ' 153.0836194 DEG @ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 82
  • Texas Instruments TI-30X | Teachers Guide - Page 87
    Inverse Tangent Use this formula to find the angle of depression. Round your answer to the nearest 2500 E < DEG %© " " F 0 -1 2 3 4 5 6 7 8 9 < %© 8 DEG tan-1 (600/25 ¹' 13.5 FIX DEG tan-1 (600/25 ¹' 13.49573328 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 83
  • Texas Instruments TI-30X | Teachers Guide - Page 88
    Cosine Use this formula to find how far the base of the ladder is V ? 75 E < %© " < %© 8 Display 5*cos (75) ' 1.294095226 DEG F 0- 1 2 3 4 5 6 7 8 9 FIX DEG 5*cos (75) ' 1. FIX DEG 5*cos (75) ' 1.294095226 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 84
  • Texas Instruments TI-30X | Teachers Guide - Page 89
    Inverse Cosine Use this formula to find the angle of the ski jump. Round your answer to 04169519 500 E < DEG %© " " F 0 -1 2 3 4 5 6 7 8 9 DEG < cos-1 (453/50¹ ' 25.0 FIX DEG %© 8 cos-1 (453/50¹ ' 25.04169519 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 85
  • Texas Instruments TI-30X | Teachers Guide - Page 90
    Sine Use this formula to find the length of the ramp. Round your E < %© " < %© 8 Display 1.5/sin (12) ¹ ' 7.214601517 DEG F 0- 1 2 3 4 5 6 7 8 9 DEG 1.5/sin (12) ¹ ' 7. FIX DEG 1.5/sin (12) ¹ ' 7.214601517 DEG > © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 86
  • Texas Instruments TI-30X | Teachers Guide - Page 91
    Inverse Sine Use this formula to find the angle of the conveyor belt. Round your Display sin-1 (13/20) ¹ ' 40.54160187 DEG F 0 -1 2 3 4 5 6 7 8 9 DEG sin-1 (13/20) ¹ ' 40.5 FIX DEG sin-1 (13/20) ¹ ' 40.54160187 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 87
  • Texas Instruments TI-30X | Teachers Guide - Page 92
    digits are automatically displayed in scientific notation. • For the Decimal notation mode, refer to % , in Chapter 6, Decimals and Decimal Places. • These modes (FLO, SCI, and ENG) affect only the display of results. 1 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 88
  • Texas Instruments TI-30X | Teachers Guide - Page 93
    between scientific and engineering notations. Press 12543 % " < < % " Display FLO S-C-I- ENG DEG 12543 ' 1.2543x1004 SCI DEG FLO SCI E-N-G- < % " SCI DEG 12543 ' 12.543x1003 ENG DEG F-L-O- SCI ENG < ENG 12543 DEG ' 12543. DEG % © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X
  • Texas Instruments TI-30X | Teachers Guide - Page 94
    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 7 8 783 %¢ 8 U 1 8 496 %¢ 8 < Display 7.783E 8-1.4 ¹ ' 628700000. DEG %¢ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 90
  • Texas Instruments TI-30X | Teachers Guide - Page 95
    power of the value). 4. % ^ calculates the natural antilogarithm (e raised to the power of the value). Note • The examples on the transparency masters assume all default settings. • E ends a logarithmic function. 3 1 4 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 91
  • Texas Instruments TI-30X | Teachers Guide - Page 96
    notation. Press A 23 E < %© Display log (23) ' 1.361727836 DEG F- 0 1 2 3 4 5 6 7 8 9 4 B 23 E < %© 8 DEG log (23) ' 1.3617 FIX DEG ln (23) FIX ' 3.1355 DEG ln (23) ' 3.135494216 DEG A B © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 92
  • Texas Instruments TI-30X | Teachers Guide - Page 97
    %Ž 3 8 10^ (3.9824) ' 9602.846792 9824 E < DEG %© F- 0 1 2 3 4 5 6 7 8 9 DEG 4 % 3 8 9824 E < %© 8 10^ (3.9824) ' 9602.8468 FIX DEG e^ (3.9824) ' 53.6456 FIX DEG e^ (3.9824) ' 53.64562936 DEG %Ž % © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 93
  • Texas Instruments TI-30X | Teachers Guide - Page 98
    Sets gradient mode. When you turn on the TI30X ÖS, it is always in the DEG mode. calculator interprets all values as degrees, 2 regardless of the angle-unit setting. • DMS angles are entered as º (degrees), ´ (minutes), and ´´ (seconds). © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 99
    did you watch videos? Press Display 2 = ¡- Å Æ r g ¹ < DEG 2¡ ' 5 = " < T 1 = < 46 = " < < = ! < < DEG ¡ -Å Æ r g ¹ DEG 2¡ 5Å + 1¡ ' DEG 2¡ 5Å + 1¡ 46Å ' 3.85 DEG ¸ '-D-M--S DEG Ans ' DMS ' 3¡ 51Å 0Æ DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 95
  • Texas Instruments TI-30X | Teachers Guide - Page 100
    Fraction to Degrees, = Minutes, and Seconds How much is 2/3 of an hour in hours, minutes, and seconds? Press Display 2 N 3 2®3 ' = ! < < DEG % -'D-M--S DEG 2®3 ' DMS ' 0¡ 40Å 0Æ DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 96
  • Texas Instruments TI-30X | Teachers Guide - Page 101
    degrees. Press > 30 E < I " < < I " < < I " < < Display sin(30) ' 0.5 DEG DEG R-A-D- GRD DEG sin(30) ' -0.988O31624 RAD DEG RAD G-R-D- RAD sin(30) ' 0.4539905 GRAD sin(30) ' 0.5 DEG I © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 97
  • Texas Instruments TI-30X | Teachers Guide - Page 102
    Converts polar coordinate to rectangular coordinate y. 2. % ` enters a comma. Notes • The example on the transparency master assumes all default settings. • Before starting calculations, set angle mode as necessary. 1 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 98
  • Texas Instruments TI-30X | Teachers Guide - Page 103
    Polar to Rectangular Convert the polar ordered pair (7,30) to rectangular using the DEG (¡) angle unit. y (x = ?, y = ?) 4 3 r = 7 2 1 30° (7,30) ' 3.5 DEG The rectangular ordered pair is 6.062177826,3.5. %' © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 99
  • Texas Instruments TI-30X | Teachers Guide - Page 104
    on the transparency master assumes all default settings. • Hyperbolic calculations are not affected by the angle mode setting-whether or not the calculator is in RAD (radian), GRD (gradient), or DEG (degree) modes. 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 100
  • Texas Instruments TI-30X | Teachers Guide - Page 105
    Find the hyperbolic sine (sinh), cosine (cosh), and tangent (tanh) of 5. Press › % > 5 E < Display sinh(5) ' 74.20321058 DEG › % ? 5 E < cosh(5) ' 74.20994852 DEG › % @ 5 E < tanh(5) ' 0.999909204 DEG %› © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers 101
  • Texas Instruments TI-30X | Teachers Guide - Page 106
    to the power of the value). Calculates the square root. Changes a real number to percent. Results display according to the Decimal Notation mode setting. Enters a comma. Calculates the specified root (x) of the value. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers A-1
  • Texas Instruments TI-30X | Teachers Guide - Page 107
    to a simple fraction. Recalls the most recently calculated result, displaying it as Ans. Clears characters and error messages on the entry line. Once the display is clear, it moves screen without exiting STAT mode. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers A-2
  • Texas Instruments TI-30X | Teachers Guide - Page 108
    Calculates the factorial. RAND Generates a random 10-digit real number between 0 and 1. RANDI Generates a random integer between 2 numbers that you specify. Separate the 2 numbers with a comma. Recalls the stored values to the display. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide
  • Texas Instruments TI-30X | Teachers Guide - Page 109
    menu. FLO Restores standard mode (floating decimal). SCI Turns on scientific mode and displays The integer power is always a multiple of 3. Calculates the sine. Calculates the inverse sine. Displays the following menu from TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers A-4
  • Texas Instruments TI-30X | Teachers Guide - Page 110
    data points. Mean of all x or y values. Sx or Sy Sample standard deviation of x or y. sx or sy Population standard deviation of x or y. Gx or Gy Sum of all x values or y . Calculates the tangent. Calculates the inverse tangent. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For
  • Texas Instruments TI-30X | Teachers Guide - Page 111
    the exponent in scientific or engineering notation. º » 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 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers
  • Texas Instruments TI-30X | Teachers Guide - Page 112
    0 and 69. An entry exceeds the digit limits (88 for entry line and 47 for statistics or constant entry lines); for example, combining an entry with a constant that exceeds the limit. arguments, parentheses, or commas. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers C-1
  • Texas Instruments TI-30X | Teachers Guide - Page 113
    Refer to the leaflet enclosed with this product or contact your local Texas Instruments retailer/distributor. Other TI Visit the TI calculator home page on the World Wide Web. Products and www.ti.com/calc Services © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide For Teachers D-1
  • Texas Instruments TI-30X | Teachers Guide - Page 114
    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-30X ÙS: A Guide For Teachers E-1
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TI-30X
Ú
S:
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Gary Hanson and Aletha Paskett
Illustrated by
Jay Garrison