Texas Instruments TI-30X - IIS Scientific Calculator Teachers Manual

Texas Instruments TI-30X - IIS Scientific Calculator Teachers Manual

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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

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Table of Contents
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Summary of Contents for Texas Instruments TI-30X - IIS Scientific Calculator

  • Page 1 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...
  • Page 2: About The Authors

    About the Authors 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-30X Ù S section of this guide Important Notice Regarding Book Materials solely Note:...
  • Page 3: About The Teacher Guide

    How to Order Additional Teacher Guides TI-30X ÙS, and any pertinent notes about To place an order or to request information their functions. about Texas Instruments (TI) calculators, Transparency masters following the use our e-mail address: ti-cares@ti.com introductory page and providing examples visit our TI calculator home page: www.ti.com/calc...
  • Page 4: Table Of Contents

    Table of Contents How to Use the TI-30X Ú S About the Authors (continued) (continued) About the Teacher Guide 14 Notation About the TI-30X Ö S 15 Logarithms and Antilogarithms Activities 16 Angle Settings and Conversions 17 Polar and Rectangular Conversions 98 The Better Batter —...
  • Page 5 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 TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 6: The Better Batter - The Fix Key

    The Better Batter — The FIX Key Math Concepts Materials Overview • TI-30X ÙS • rounding on the TI-30X ÙS to change % ‚ Students use • place value • pencil numbers to different place values. Students calculate batting averages using the TI-30X ÙS and •...
  • Page 7 The Better Batter — The FIX Key (Continued) Player Number of Number of Batting Hits Times at Bat Average TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 8: The Better Batter

    The Better Batter — Name ___________________________ The FIX Key Date ___________________________ Problems Ù TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 9 The Better Batter — Name ___________________________ The FIX Key Date ___________________________ Problem Procedure ¾ Player Number of Hits Number of Batting Average Times at Bat (rounded to 3 decimal places) TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 10: Star Voyage - Scientific Notation

    Star Voyage — Scientific Notation Math Concepts Materials Overview • TI-30X ÙS • scientific Students investigate scientific notation by changing notation • pencil numbers into scientific notation, and then using • addition • student activity them in calculations. • division Introduction ...
  • Page 11 Star Voyage — Scientific Notation (Continued) Activity Procedure Hint: Make sure your calculator Ö is in scientific notation mode before you beginning addition. Extension Hint: The Earth is approximately 9.3 x 10 miles from the Sun. TI-30X ÙS: A Guide for Teachers ©...
  • Page 12: Star Voyage

    Star Voyage — Name ___________________________ Scientific Notation Date ___________________________ Problems Standard Notation Scientific Notation Ö Standard Notation Scientific Notation Ö Scientific Notation Standard Notation TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 13 Star Voyage — Name ___________________________ Scientific Notation Date ___________________________ Problem Procedure Ö Hint: Make sure your calculator is in scientific notation mode before you begin addition. Extension Hint: The Earth is approximately 9.3 Q 10 miles from the Sun. TI-30X ÙS: A Guide for Teachers ©...
  • Page 14: Trig Functions

    Trig Functions Math Concepts Materials Overview • TI-30X ÙS • multiplication Students practice solving sine, cosine, and tangent • division • pencil ratios, and solve problems involving trigonometric • trigonometric • student activity ratios. ratios Introduction ¾ ¾ ¾ ³ To set 2 decimal places: 1.
  • Page 15 Trig Functions (Continued) Activity Procedure ³ 1. Press % \. 2. Enter 1.5 W 20 and press E <. (1.5/20) ¾ Extension ³ 1. Press % \. 2. Enter 1.5 ¾ ¾ 15 and press <. (1.5/15 TI-30X ÙS: A Guide for Teachers ©...
  • Page 16 Name ___________________________ Trig Functions Date ___________________________ Problems % ‚ Ù Ù TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 17 Name ___________________________ Trig Functions Date ___________________________ Problem Procedure ¾ Extension TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 18: What's My Score - 1-Variable Statistics

    What’s My Score? — 1-Variable Statistics Math Concepts Materials Overview • TI-30X ÙS • averages Students use the given test scores to find averages. • pencil • student activity Introduction Activity Procedure ³ 1. Press % t < to select mode.
  • Page 19 What’s My Score? — 1-Variable Statistics (Cont.) ³ 1. Press % t " " to select . Press CLRDATA <. 2. Press v and enter the friend’s first score. X1 = 89 3. Continue entering the friend’s scores and frequencies, following steps 3 and 4 on the previous page.
  • Page 20: Variable Statistics

    What’s My Score? — Name ___________________________ 1-Variable Statistics Date ___________________________ Problems TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 21: Heart Rates - 1-Variable Statistics

    Heart Rates — 1-Variable Statistics Math Concepts Materials Overview • TI-30X ÙS • mean, Students use the statistics functions of the minimum, • stopwatch or TI-30XÙS calculator to investigate the effect of maximum, and a watch with exercise on heart rate. range a second hand •...
  • Page 22 Heart Rates — 1-Variable Statistics (Continued)  1. Press u. Òx Òx n Ï Sx Îx n should equal the total number of student sampled. 2. Press " to to see the Ï average heart rate. n Ï Sx Îx 3.
  • Page 23: Heart Rates

    Heart Rates — Name ___________________________ 1-Variable Statistics Date ___________________________ Problem Procedure Heartbeats per minute Frequency (resting) TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 24 Heart Rates — Name ___________________________ 1-Variable Statistics Date ___________________________ Heartbeats per minute Frequency (running) TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 25 Heart Rates — Name ___________________________ 1-Variable Statistics Date ___________________________ Heartbeats per minute Frequency (jumping) 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. TI-30X ÙS: A Guide for Teachers ©...
  • Page 26 Heart Rates — Name ___________________________ 1-Variable Statistics Date ___________________________ Resting Running Jumping TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 27: Wnba Stats - 2-Variable Statistics

    WNBA Stats — 2-Variable Statistics Math Concepts Materials Overview • TI-30X ÙS • 2-variable Students use WNBA statistics to explore the statistics • pencils relationship between 2 variables. They use the • student activity TI-30X ÙS to compute the regression equation and evaluate some values.
  • Page 28 WNBA Stats — 2-Variable Statistics Continued)  1. Press % ‚. F 0 1 2 3 4 5 6 7 8 9 2. Press  1. Press u. n Ï Sx Îx Ð 12.00 2. Press " to Ï n Ï Sx Îx Ð 9.33 3.
  • Page 29 WNBA Stats — 2-Variable Statistics Continued)  1. Press u. n Ï Sx Îx Ð 12.00 2. Press ! ! to x¢ x¢ y¢ 3. Press <. 4. Type E and press <. x¢(35) 17.92 Extension TI-30X ÙS: A Guide for Teachers ©...
  • Page 30: Wnba Stats

    WNBA Stats — Name ___________________________ 2-Variable Statistics Date ___________________________ Problem Procedure Player Field-Goal Points Rebounds Minutes Percentage per Game per Game per Game TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 31 WNBA Stats — Name ___________________________ 2-Variable Statistics Date ___________________________ Extension TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 32: How To Use The Ti-30X Ú S

    How to Use the TI-30X Ú S TI-30X Ú S Basic Operations Clear, Insert, and Delete Basic Math Order of Operations and Parentheses Constant Decimals and Decimal Places Memory Fractions Powers, Roots, and Reciprocals Probability Statistics Trigonometry Notation Logarithms and Antilogarithms Angle Settings and Conversions Polar and Rectangular Conversions Hyperbolics...
  • Page 33: Ti-30X Ö S Basic Operations

    TI-30X Ú S Basic Operations Keys 1. & turns on the calculator. 7. %  displays the RESET menu. 2. % turns on the 2nd indicator and RESET: N Y accesses the function shown above the Press < when N (no) is next key you press.
  • Page 34 ¥ Second, Off, Arrows, ! " Equals # $ < Enter 46 N 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 Display 46 U 23...
  • Page 35 ¨ Reset Reset the calculator. Press Display ¨ RESET: " RESET: < 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.
  • Page 36 Last Answer (Ans) ª Use Last Answer (Ans) to calculate (2+2) Press Display 2 T 2 < ª < TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 37: Clear, Insert, And Delete

    Clear, Insert, and Delete Keys Notes 1. - clears characters and error The examples on the transparency masters assume all default settings. messages. Once the display is clear, it moves the cursor to the most recent Pressing - does not affect the entry.
  • Page 38 ‘ Delete, Insert Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem. Press Display 4569 T 285 4569+285 ! ! ! ! ! 459+285 " " " " 459+2865 ‘ < 459+2865 3324. TI-30X ÙS: A Guide for Teachers ©...
  • Page 39 Clear Enter 21595. Clear the 95. Clear the entry. Press Display 21595 21595 ! ! - (Clear to right) (Clear entry) TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 40: Basic Math

    Basic Math Keys Notes 1. T adds. The examples on the transparency masters assume all default settings. 2. U subtracts. The TI-30X ÙS allows implied multiplication. 3. V multiplies. Example: 3 (4+3) = 21 4. W divides. Do not confuse M with U. U allows 5.
  • Page 41 T U V W Add, Subtract, Multiply, Divide, Equals < 2 + 54 ½ 6 = Find: 16 x 21 = 78 2 = 12 x (5 + 6) = Press Display 2 T 54 U 6 2+54-6 < 16 V 21 < 16 * 21 336.
  • Page 42: Negative Numbers

    Negative Numbers 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 Display M 3 T 12 - 3+12 < TI-30X ÙS: A Guide for Teachers ©...
  • Page 43 £ Percent Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press Display £ 15% * 80 V 80 < TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 44: Order Of Operations And Parentheses

    Order of Operations and Parentheses Keys Notes 1. D opens a parenthetical expression. The examples on the transparency masters assume all default settings. 2. E closes a parenthetical expression. The transparency master showing the Equation Operating System (EOS demonstrates the order in which the TI-30X ÙS completes calculations.
  • Page 45: Equation Operating System Eos

    Equation Operating System Expressions inside D E. (first) Functions that need a E and precede the expression, such as the >, A, or ’ menu items . Functions entered after the expression, such as F and angle unit modifiers ( , , , r, g). Fractions.
  • Page 46 T V D E Order of Operations 1 + 2 x 3 = Press Display 1 T 2 V 3 1+2*3 < (1 + 2) x 3 = Press Display D 1 T 2 E V (1+2)*3 3 < TI-30X ÙS: A Guide for Teachers ©...
  • Page 47: Constant

    Constant Keys Notes 1. % l turns on the constant mode and The examples on the transparency masters assume all default settings. lets you define a constant. A K displays when the constant mode is on. All functions, except statistics, work in constant mode.
  • Page 48 ™ Constant Three people babysit for $3.25 each per hour. First person works 16 hours. Second person works 12 hours. Third person works 17 hours. How much did each person earn? Press Display ™ V 3.25 < K = *3.25 16 <...
  • Page 49: Decimals And Decimal Places

    Decimals and Decimal Places Keys Notes 1. 8 enters a decimal point. The examples on the transparency masters assume all default settings. 2. % ‚ displays the following menu that % ‚ 8 removes the setting and lets you set the number of decimal places. returns to standard notation (floating F 0 1 2 3 4 5 6 7 8 9 decimal).
  • Page 50 © Decimal, FIX Round 12.345 to the hundredths place, to the tenths place, and then cancel the FIX setting. Press Display 12 8 345 12.345 © F 0 1 2 3 4 5 6 7 8 9 " " " F 0 1 2 3 4 5 6 7 8 9 <...
  • Page 51: Memory

    Memory Keys 3. % { clears all variables. 1. L displays the following menu of variables. 4. % h displays the following menu of A B C D E Lets you select a variable variables. in which to store the Lets you view the stored A B C D E displayed value.
  • Page 52 Store, Memory Variable, ¦ Clear Variable Test scores: 96, 76, 85. Weekly scores: 92, 83, 97, and 86. Find the average of test and weekly scores. Find the final average. Press Display 96 T 76 T 96+76+85 85 < 257. W 3 <...
  • Page 53 Store, Recall § Which would be the better buy: 3 cassette tapes for $7.98, or 4 cassette tapes for $9.48? Press Display 7 8 98 W 3 7.98/3 < 2.66 L < Ans ¹ A 2.66 9 848 W 4 9.48 / 4 <...
  • Page 54 Store, Recall § Shop Purchases Qty Cost shirts $13.98 ea. ties $7.98 ea. belt $6.98 suspenders $9.98 How much did you spend at each shop, and how much did you spend altogether? Press Display 2 V 13 8 98 2*13.98 <...
  • Page 55 Store, Recall (Continued) § Press Display L " < Ans ¹ B 23.94 6 8 98 T 6.98+9.98 9 8 98 < 16.96 L " " Ans ¹ C < 16.96 § 27.96+ < T § .96+23.94+ ¹ ¸ " <...
  • Page 56: Fractions

    Fractions Keys Notes 1. N lets you enter mixed numbers and The examples on the transparency masters assume all default settings. fractions. To enter a mixed number or a fraction, 2. % O converts a simple fraction to press N between the whole number and a mixed number or a mixed number to a the numerator and between the numerator simple fraction.
  • Page 57 Fractions At the party, you ate of the pepperoni pizza and of the sausage pizza. How much pizza did you eat? Press Display 5 N 6 T 1 5®6+1®10 N 10 < 14 / 15 TI-30X ÙS: A Guide for Teachers ©...
  • Page 58 Mixed Numbers A baby weighed 4 kilograms at birth. In the next 6 months, she gained 2 kilograms. How much does she weigh? Press Display 4 N 3 N 4®3®8+2®3®4 7− 1/8 8 T 2 N 3 N 4 < TI-30X ÙS: A Guide for Teachers ©...
  • Page 59 š Mixed Number to Fraction, Fraction to Mixed Number Sam is making his birthday cake. The recipe calls for 3 cups of flour. He has only a -cup measuring cup. To find out how many times Sam must use his measuring cup, change the mixed number to a fraction.
  • Page 60 “ Fraction to Decimal Juan swims 20 laps in 5.72 minutes. Mary swims 20 laps in 5 minutes. Change Mary’s time to a decimal to determine who swims faster. Press Display 5 N 3 N 5®3®4.F “ < 5®3®4.F 5.75 TI-30X ÙS: A Guide for Teachers ©...
  • Page 61 “ Decimal to Fraction Change 2.25 to its fractional equivalent. Press Display 2 8 25 2.25.F “ 2−1®4 < TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 62 Keys Notes 1. g displays the value of pi rounded to 10 The examples on the transparency masters assume all default settings. digits (3.141592654). Internally, pi is stored to 13 digits (3. 141592653590). After pressing % ‚, you can select the number of decimal places in 2 ways: Press ! or "...
  • Page 63 Circumference 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 = 2 r = 2 x x 1.5m Press Display 2 V g V 1.5 2 * * 1.5 <...
  • Page 64 Area Use this formula to find how much of a lawn would be covered by the sprinkler. Round your answer to the nearest whole number, and then return to Floating Decimal mode. A = r = x 4 Press Display g V 4 F <...
  • Page 65: Powers, Roots, And Reciprocals

    Powers, Roots, and Reciprocals Keys Notes 1. F squares the value. The examples on the transparency masters assume all default settings. 2. % b calculates the square root. To use G, enter the base, press G, and 3. % c calculates the specified root (x) of then enter the exponent.
  • Page 66 Squares Use this formula to find the size of the tarp needed to cover the entire baseball infield. A = x = 27.4 Press Display 27.4 F < 27.4 750.76 27.4 G 2 90 ^2 < 750.76 TI-30X ÙS: A Guide for Teachers ©...
  • Page 67 œ Square Roots Use this formula to find the length of the side of a square clubhouse if of carpet would cover the floor. Round your answer to 0 decimal places. L = ‡x = ‡3 of carpet Press Display œ...
  • Page 68 Cubes Use this formula to find the volume of a cube with sides 2.3 meters long. Change your answer to a fraction. V = L = 2.3 Press Display 2 8 3 G 3 2.3^3 12.167 < “ Ans.F 12−167/1000 <...
  • Page 69 Powers Fold a piece of paper in half, in half again, and so on until you cannot physically fold it in half again. How many sections would there be after 10 folds? After 15 folds? Press Display 2 G 10 < 2^10 1024.
  • Page 70 ¡ Roots If the volume of a cube is 125 cm what is the length of each side? Press Display ¡ Ñ 125. < TI-30X ÙS: A Guide for Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 71 Reciprocals The chart below shows the amount of time spent building model ships. Time Portion Spent Completed Ships Building Per Hour Sailing 10 hrs. Steam 5 hrs. Luxury hrs. How much of each model was completed per hour? Press Display Sailing ship: “...
  • Page 72: Probability

    Probability Keys Notes 1. H displays the following menu of The examples on the transparency masters assume all default settings. functions. A combination is an arrangement of Calculates the number of possible permutations. objects in which the order is not important, as in a hand of cards.
  • Page 73 Combination (nCr) You have space for 2 books on your bookshelf. You have 4 books to put on the shelf. Use this formula to find how many ways you could place the 4 books in the 2 spaces. 4 nCr 2 = x AB and BA AB AC AD...
  • Page 74 Permutation (nPr) Four different people are running in a race. Use this formula to find how many different ways they can place and 2 4 nPr 2 = x AB and BA AB AC AD count as 2 BA BC BD permutations.
  • 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 ABCD ABDC ACBD ACDB ADBC ADCB BACD BADC BCAD BCDA BDCA BDAC CABD CADB CBAD CBDA CDAB CDBA DABC...
  • Page 76 Random (RAND) Generate a sequence of random numbers. Press Display H " " " RAND RANDI ¸ - ___ < < RAND 0.839588694 < < RAND 0.482688185 Results will vary. TI-30X ÙS: A Guide For Teachers © 1999 T EXAS NSTRUMENTS NCORPORATED...
  • Page 77 Random (RAND) Set 1 as the current seed and generate a sequence of random numbers. Press Display 1 L ! rand ¸ ---- 1083958869. < < 1 ¹ rand H " " " RAND < < 0.000018633 < RAND 0.745579721 TI-30X ÙS: A Guide For Teachers ©...
  • Page 78 Random Integer (RAND Generate a random integer from 2 through 10. Press Display RAND RANDI ¸ --- __ ¤ < 2 % ANDI( 2, 10) ¸ 10 E < RANDI( 2, 10) ¹ Results will vary. TI-30X ÙS: A Guide For Teachers ©...
  • Page 79: Statistics

    Statistics Keys 3. % w displays the following menu 1. % t displays a menu from which you that lets you clear data values and exit mode. STAT can select 1-VAR, 2-VAR CLRDATA EXIT ST: Y N Analyzes data from 1 set 1-VAR Press <...
  • Page 80 ” 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 ” 2-VAR ¹ 1-VAR ----- - < v STAT STAT FRQ=1 STAT FRQ=2 STAT $ 97 STAT $ $ 53 STAT...
  • Page 81 Viewing the Data (Cont.) Find the number of data points (n), the mean ( ), the sample standard deviation (Sx), the population standard deviation ( x), the sum of the scores ( ), and the sum of the squares ( Press Display ¹...
  • Page 82 ˜ Removing Data Points (Cont.) Return to the first data point. Display the lowest score, drop it, and then find the new mean ( ). Clear all data by exiting mode. STAT Press Display STAT $ $ $ $ STAT $ 0 <...
  • Page 83 ” Entering 2-VAR Stat Data The table below shows the number of pairs of athletic shoes sold by a small shoe store. Enter this data as the data points. Month Total No.(x) Brand A (y) April 58 (x1) 35 (y1) 47 (x2) 28 (y2) Press...
  • Page 84 Viewing the Data (Cont.) ˜ If the store sells 32 pairs of shoes in June, predict the June sales of Brand A. When finished, exit STAT mode and clear all data points. Press Display x’ y’ < 32 E y’ (32) <...
  • Page 85: Trigonometry

    Trigonometry Keys Notes 1. @ calculates the tangent. The examples on the transparency masters assume all default settings. 2. % \ calculates the inverse tangent. Before starting a trigonometric 3. ? calculates the cosine. calculation, be sure to select the 4.
  • Page 86 Tangent Use this formula to find the distance from the lighthouse to the boat. Round your answer to the nearest whole number, and then return to floating decimal mode. D = 78/TAN 27 Press Display 78 W @ 78/tan (27) 27 E <...
  • Page 87 Ÿ Inverse Tangent Use this formula to find the angle of depression. Round your answer to the nearest tenth, and then return to floating decimal mode. TAN x = 600/2500 Press Display Ÿ ¹ (600/25 600 W 13.49573328 2500 E < ©...
  • Page 88 Cosine Use this formula to find how far the base of the ladder is from the house. Round your answer to the nearest whole number, and then return to floating decimal mode. D = 5 x COS 75 Press Display 5 V ? 5*cos (75) 75 E <...
  • Page 89 ž Inverse Cosine Use this formula to find the angle of the ski jump. Round your answer to the nearest tenth, and then return to floating decimal mode. COS x = 453/500 Press Display ž (453/50 ¹ 453 W 25.04169519 500 E <...
  • Page 90 > Sine Use this formula to find the length of the ramp. Round your answer to the nearest whole number, and then return to floating decimal mode. D = 1.5/SIN 12 Press Display 1 8 5 W > 1.5/sin (12) ¹...
  • Page 91  Inverse Sine Use this formula to find the angle of the conveyor belt. Round your answer to the nearest tenth, and then return to floating decimal mode. SIN x = 13/20 Press Display  (13/20) ¹ 13 W 40.54160187 20 E <...
  • Page 92: Notation

    Notation Keys 2. % C lets you enter and calculate the 1. % d displays the following numeric exponent. notation mode menu. Restores standard mode Notes (floating decimal). The examples on the transparency masters Turns on scientific mode assume all default settings. and displays results as a number from 1 to 10 (1 n You can enter a value in scientific notation...
  • Page 93  Engineering, Scientific, Floating Decimal Enter 12543, which will be in floating decimal notation (default), and alternate between scientific and engineering notations. Press Display 12543 FLO SCI  " < < 12543 1.2543  FLO SCI " < 12543 12.543 ...
  • Page 94 ¢ Exponent The Earth is 1.496 x 10 kilometers from the Sun. Jupiter is 7.783 x 10 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 7.783 8-1.4 ¹...
  • Page 95: Logarithms And Antilogarithms

    Logarithms and Antilogarithms Keys Note 1. A calculates the common logarithm The examples on the transparency masters assume all default settings. (base 10). E ends a logarithmic function. 2. B calculates the natural logarithm (base e , where e = 2.718281828459). 3.
  • Page 96 Common Logarithm, Natural Logarithm Find log 23 rounded to 4 decimal places. Then find ln 23 rounded to 4 decimal places and return to Floating Decimal notation. Press Display A 23 E log (23) < 1.361727836 © F 0 1 2 3 4 5 6 7 8 9 log (23) 1.3617 B 23 E...
  • Page 97 Ž Common Antilogarithm, Natural Antilogarithm  Find antilog 3.9824 rounded to 4 decimal places. Then find antiln 3.9824 rounded to 4 decimal places. When finished, return to Floating Decimal notation. Press Display Ž 10^ (3.9824) 9602.846792 9824 E < © F 0 1 2 3 4 5 6 7 8 9 10^ (3.9824) 9602.8468...
  • Page 98: Angle Settings And Conversions

    Angle Settings and Conversions Keys 2. = displays a menu that lets you specify 1. I displays the following menu that lets the unit of an angle. you change the mode setting to DEG, angle RAD, and GRD without affecting the value º...
  • Page 99 Degrees, Minutes, and Seconds to Decimal You watched 2 videos that were 2:05 (2 hours and 5 minutes) and 1:46 (1 hour and 46 minutes) in length. How long did you watch videos? Press Display ¹ ¡ Å Æ < 2 ¡...
  • Page 100 Fraction to Degrees, Minutes, and Seconds How much is of an hour in hours, minutes, and seconds? Press Display 2 N 3 2 ® 3 'DMS ---- < < 2 ® 3 ' DMS 0 ¡ 40 Å 0 Æ TI-30X ÙS: A Guide For Teachers ©...
  • Page 101 Degrees, Radians, Gradients Calculate the sine of 30 in degrees, radians, and gradients, and then return to degrees. Press Display > 30 E sin(30) < I " DEG RAD GRD < < sin(30) -0.988O31624 I " DEG RAD GRD < < sin(30) 0.4539905 GRAD...
  • Page 102: Polar And Rectangular Conversions

    Polar and Rectangular Conversions Keys 2. % ` enters a comma. 1. % k displays the following menu that lets you convert rectangular coordinates , y ) to polar coordinates ( r , q ) or vice Notes The example on the transparency master versa.
  • Page 103: Polar To Rectangular

    ’ Polar to Rectangular Convert the polar ordered pair (7,30) to rectangular using the DEG (¡) angle unit. (x = ?, y = ?) r = 7 30° 1 2 3 4 5 6 7 Press Display ’ P ' Rx P ' R ¸...
  • Page 104: Hyperbolics

    Hyperbolics Keys Notes 1. % Y accesses the hyperbolic (sinh, The example on the transparency master assumes all default settings. cosh, tanh) function of the next trig key that you press. 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.
  • Page 105 › Sine, Cosine, Tangent Find the hyperbolic sine (sinh), cosine (cosh), and tangent (tanh) of 5. Press Display › sinh(5) > 5 74.20321058 E < › cosh(5) 74.20994852 E < › tanh(5) 0.999909204 E < TI-30X ÙS: A Guide For Teachers ©...
  • Page 106: Quick Reference To Keys

    Quick Reference to Keys Function ! " Moves the cursor left and right so you can scroll the entry line. Press % ! or % " to scroll to the beginning or end of the entry line. Moves the cursor up and down so you can see previous entries. Press % # or % $ to scroll to the beginning or end of the history.
  • Page 107 Quick Reference to Keys ( C o n t i n u e d ) Function Lets you enter mixed numbers and fractions. Converts a simple fraction to a mixed number or a mixed number to a simple fraction. Recalls the most recently calculated result, displaying it as Ans. Clears characters and error messages on the entry line.
  • Page 108 Quick Reference to Keys ( C o n t i n u e d ) Function Converts a fraction to its decimal equivalent or converts a decimal to its fractional equivalent, if possible. % ‚ Displays the following menu that lets you set the number of decimal places. F 0 1 2 3 4 5 6 7 8 9 Sets floating decimal (standard) notation.
  • Page 109 Quick Reference to Keys ( C o n t i n u e d ) Function %  Displays the RESET menu. RESET: Press < when N (no) is underlined to return to the previous screen without resetting the calculator. Press <...
  • Page 110 Quick Reference to Keys ( C o n t i n u e d ) Function Displays the following menu of stat variables with their current values. Number of x (or x,y) data points. v or w Mean of all x or y values. Sx or Sy Sample standard deviation of x or y.
  • Page 111: Appendix B Display Indicators

    Display Indicators Indicator Meaning 2nd function. Hyperbolic function. Fixed-decimal setting. SCI, ENG Scientific or engineering notation. STAT Statistical mode. DEG, RAD, GRAD Angle mode (degrees, radians, or gradients). Constant mode. Precedes the exponent in scientific or engineering notation. º » An entry is stored in history before and/or after the active screen.
  • Page 112: Error Messages

    Error Messages Message Meaning ARGUMENT A function does not have the correct number of arguments. DIVIDE BY 0 You attempted to divide by 0. In statistics, n = 1. DOMAIN You specified an argument to a function outside the valid range. For example: For x ‡: x = 0 or y <...
  • Page 113: Support And Service Information

    Customers in the U.S. and Canada Only Product Always contact Texas Instruments Customer Support before returning a Service product for service. Customers outside the U.S. and Canada Refer to the leaflet enclosed with this product or contact your local Texas Instruments retailer/distributor.
  • Page 114: Warranty Information

    LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE LIMITED IN DURATION TO THE ABOVE ONE-YEAR PERIOD. TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PRODUCT OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS, EXPENSES, OR DAMAGES INCURRED BY THE CONSUMER OR ANY OTHER USER.

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