Texas Instruments TI-30XIIS Teachers Guide
Texas Instruments TI-30XIIS - Handheld Scientific Calculator Manual
 |
UPC - 033317200849
View all Texas Instruments TI-30XIIS manuals
Add to My Manuals
Save this manual to your list of manuals |
Texas Instruments TI-30XIIS manual content summary:
- Texas Instruments TI-30XIIS | Teachers Guide - Page 1
TI-30X II - Texas Instruments TI-30XIIS | Teachers Guide - Page 2
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-30XIIS | Teachers Guide - Page 3
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-30XIIS | Teachers Guide - Page 4
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-30XIIS | Teachers Guide - Page 5
even after the TI-30X ÙS is turned off. To recall the value of Ans: • Press % i (Ans displays on the screen), or • Press any operation key (T, U, etc.) as the first part of an entry. Ans and the operator are both displayed. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers iv - Texas Instruments TI-30XIIS | Teachers Guide - Page 6
all default settings. Automatic Power Downé(APDé) If the TI-30X ÙS remains inactive for about 5 minutes, APD turns it off automatically. Press & after APD. The display, pending operations, settings, and memory are retained. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers v - Texas Instruments TI-30XIIS | Teachers Guide - Page 7
98 18 Hyperbolics 100 Appendix A A-1 Quick Reference to Keys Appendix B B-1 Display Indicators Appendix C C-1 Error Messages Appendix D D-1 Support and Service Information Appendix E E-1 Warranty Information © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers vi - Texas Instruments TI-30XIIS | Teachers Guide - Page 8
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-30XIIS | Teachers Guide - Page 9
-30X ÙS • pencil • student activity ³ 1. Enter the first number. 4.39865 2. Press % , to display the menu that lets you set the number of decimal places. F0123456789 3. Press 4 to select 4 decimal places. 4.39865 4. Press - Texas Instruments TI-30XIIS | Teachers Guide - Page 10
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-30XIIS | Teachers Guide - Page 11
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 ÖS, 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 - Texas Instruments TI-30XIIS | Teachers Guide - Page 12
The Better Batter - Name The FIX Key Date Problem You are going to play Virtual Baseball. You need highest to lowest. Player 1 Player 6 Player 2 Player 7 Player 3 Player 8 Player 4 Player 9 Player 5 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 5 - Texas Instruments TI-30XIIS | Teachers Guide - Page 13
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-30XIIS | Teachers Guide - Page 14
Scientific Notation (Continued) Activity Present the following problem Procedure 1. Using the TI-30X ÖS, find calculator is in scientific notation mode before 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-30XIIS | Teachers Guide - Page 15
0.0000034 d. 0.000000004 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-30XIIS | Teachers Guide - Page 16
- Scientific Notation Name Date Problem You are 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-30XIIS | Teachers Guide - Page 17
problems involving trigonometric ratios. Math Concepts • multiplication • division • trigonometric ratios Materials • TI-30X 2. Have students find the value of each ratio using the TI-30X ÖS. Round to the nearest 10 thousandth. a. TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 10 - Texas Instruments TI-30XIIS | Teachers Guide - Page 18
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-30XIIS | Teachers Guide - Page 19
nearest ten thousandth. a. sin 71º b. tan 31º c. cos 25º 3. Using the TI-30X ÖS, 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-30XIIS | Teachers Guide - Page 20
20 feet. Is there enough room to build the ramp? Procedure 1. Make a drawing of the problem. 2. Use the trigonometric ratio tan = opposite leg ¾ adjacent leg to find angle A. (Round your answer be less than 6 degrees? © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 13 - Texas Instruments TI-30XIIS | Teachers Guide - Page 21
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 92.6 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 14 - Texas Instruments TI-30XIIS | Teachers Guide - Page 22
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-30XIIS | Teachers Guide - Page 23
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 you are the winner? Your friend's new average The score you need © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 16 - Texas Instruments TI-30XIIS | Teachers Guide - Page 24
use the statistics functions of the TI-30X ÙS calculator to investigate the effect of exercise on heart rate. Math Concepts Materials • mean, minimum, maximum, and range • TI-30X all the heart rates and frequencies. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 17 - Texas Instruments TI-30XIIS | Teachers Guide - Page 25
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-30XIIS | Teachers Guide - Page 26
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-30XIIS | Teachers Guide - Page 27
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-30XIIS | Teachers Guide - Page 28
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-30XIIS | Teachers Guide - Page 29
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-30XIIS | Teachers Guide - Page 30
use the TI-30X ÙS to compute the regression equation and evaluate some values. Math Concepts • 2-variable statistics Materials • TI-30X ÙS • pencils • student activity Activity Present the following problem data point. ` © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 23 - Texas Instruments TI-30XIIS | Teachers Guide - Page 31
the two variables. Write the correlation coefficient. r = .91 6. Now calculate how many minutes you would expect a player to play if she averages 15 Press " " to y¢. x¢ y¢ 2. Press - Texas Instruments TI-30XIIS | Teachers Guide - Page 32
• What about defense, rebounding, etc.? Extension Now have students use the calculator to investigate the correlation of the other data in the chart Press ! ! to x¢. x¢ y¢ 3. Press - Texas Instruments TI-30XIIS | Teachers Guide - Page 33
per Game 10.1 13.3 6.8 22.7 12.9 12.9 6.7 4.8 11.7 1.9 4.9 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-30XIIS | Teachers Guide - Page 34
WNBA Stats - Name 2-Variable Statistics Date Extension Use the calculator to investigate the correlation of the other data in closest correlation? (That is, which have the correlation coefficient closest to 1 or -1?) © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 27 - Texas Instruments TI-30XIIS | Teachers Guide - Page 35
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-30XIIS | Teachers Guide - Page 36
all default settings. • Resetting the calculator: Returns settings to their defaults: floating decimal (standard) notation and degree (DEG) mode. The display, pending operations, 7 5 settings, and memory are retained. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 29 - Texas Instruments TI-30XIIS | Teachers Guide - Page 37
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-30XIIS | Teachers Guide - Page 38
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-30XIIS | Teachers Guide - Page 39
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-30XIIS | Teachers Guide - Page 40
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-30XIIS | Teachers Guide - Page 41
Delete and Insert Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem. J %' Press Display 4569 T 285 4569+285 ! ! ! ! ! ! J " " " " %' 6 < DEG 459+285 DEG 459+2865 DEG 459+2865 ' 3324. DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 34 - Texas Instruments TI-30XIIS | Teachers Guide - Page 42
Clear Enter 21595. Clear the 95. Clear the entry. Press Display 21595 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-30XIIS | Teachers Guide - Page 43
. • 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. 4 7 3 2 1 5 6 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers - Texas Instruments TI-30XIIS | Teachers Guide - Page 44
½ 6 = 16 x 21 = 78 P 2 = 12 x (5 + 6) = Press Display 2 T 54 U 6 < 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-30XIIS | Teachers Guide - Page 45
Negative Numbers The temperature in Utah was L3¡ C M 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 L3+12 ' 9. DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 38 - Texas Instruments TI-30XIIS | Teachers Guide - Page 46
Percent Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press Display 15 15 %£ V 80 < DEG 15%*80 ' 12. DEG %£ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 39 - Texas Instruments TI-30XIIS | Teachers Guide - Page 47
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-30XIIS | Teachers Guide - Page 48
) Permutations (nPr) and combinations (nCr) Multiplication, implied multiplication, and division Addition and subtraction Conversions (%š, %", and 8DMS) < completes all operations and closes all open parentheses. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 41 - Texas Instruments TI-30XIIS | Teachers Guide - Page 49
Order of Operations 1 + 2 x 3 = Press 1 T 2 V 3 < (1 + 2) x 3 = Display 1+2*3 ' 7. DEG 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-30XIIS | Teachers Guide - Page 50
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-30XIIS | Teachers Guide - Page 51
V 3.25 < K = *3.25 %™ - DEG K ~ ' 16 < 12 < 17 < %™ DEG K 16*3.25 ' 52. DEG K 12*3.25 ' 39. DEG K 17*3.25 ' 55.25 DEG K ~ ' (Constant mode is off.) © 1999 TEXAS INSTRUMENTS INCORPORATED DEG K TI-30X ÙS: A Guide for Teachers 44 - Texas Instruments TI-30XIIS | Teachers Guide - Page 52
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-30XIIS | Teachers Guide - Page 53
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 DEG 12.345 ' 12.35 FIX DEG 12.345 FIX ' 12.3 DEG 12.345 ' 12.345 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 46 - Texas Instruments TI-30XIIS | Teachers Guide - Page 54
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 (page 68). 3 2 4 1 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 47 - Texas Instruments TI-30XIIS | Teachers Guide - Page 55
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 L z %¦ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 48 - Texas Instruments TI-30XIIS | Teachers Guide - Page 56
DEG Ans¹A ' 2.66 DEG 9.48 / 4 ' 2.37 DEG Ans¹B ' 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-30XIIS | Teachers Guide - Page 57
did you spend altogether? Press 2 V 13 8 98 < L Display 2*13.98 ' 27.96 DEG ¹ -A B C D E & < 3 V 7 8 98 < 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 - Texas Instruments TI-30XIIS | Teachers Guide - Page 58
T 6.98+9.98 ' 9 8 98 < 16.96 DEG L " " < Ans¹C ' 16.96 DEG %§ 27.96+ ' < T DEG %§ " < T % .96+23.94+ ' DEG %§ " " < < 27.96+23.94 & ' 68.86 DEG L %§ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 51 - Texas Instruments TI-30XIIS | Teachers Guide - Page 59
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 - Texas Instruments TI-30XIIS | Teachers Guide - Page 60
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 - Texas Instruments TI-30XIIS | Teachers Guide - Page 61
Mixed Numbers A baby weighed 4 3/8 pounds at birth. In the next 6 months, she gained 2 3/4 pounds. How much does she weigh? N Press Display 4 N 3 N 4®3®8+2®3®4 ' 8 T 2 N 3 N 4 < 7− 1/8 DEG \ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 54 - Texas Instruments TI-30XIIS | Teachers Guide - Page 62
number to a fraction. %š 3 1/2 ¾ 1/2 = 7 Press Display 3 N 1 N 2 3®1®2 %š DEG 3®1®2 ¾ A b/c ½ ¾ d/e DEG < 3®1®2 ¾ A b/c ½ ¾ d/e ' 7 / 2 DEG Show the mixed number again. š % < Ans ¾ A b/c ½ ¾ d/e ' 3− 1/2 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 55 - Texas Instruments TI-30XIIS | Teachers Guide - Page 63
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 ¾ F ½ ¾ D DEG 5®3®4 ¾ F ½ ¾ D ' 5.75 DEG %" © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 56 - Texas Instruments TI-30XIIS | Teachers Guide - Page 64
Decimal to Fraction Change 2.25 to its fractional equivalent. Press Display 2 8 25 %" < 2.25 ¾ F ½ ¾ D ' 2−1/4 DEG %" © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 57 - Texas Instruments TI-30XIIS | Teachers Guide - Page 65
, and then press - Texas Instruments TI-30XIIS | Teachers Guide - Page 66
Circumference Use this formula to find the amount g 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 Display 2 V g V 1.5 < 2*p*1.5 ' 9.424777961 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers - Texas Instruments TI-30XIIS | Teachers Guide - Page 67
Area Use this formula to find how much g of a lawn would be covered by the x 42 Press Display g V 4 F < %© " p*42 ' 50.26548246 DEG F-0 1 2 3 4 5 6 7 8 9 < %© 8 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-30XIIS | Teachers Guide - Page 68
Messages in Appendix C (page C-1) 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-30XIIS | Teachers Guide - Page 69
Squares Use this formula to find the size of the tarpaulin needed to cover the entire baseball infield. A = x2 = 27.42 FG Press Display 27.4 F < 27.42 ' or 750.76 DEG 27.4 G 2 < 27.4^2 ' 750.76 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 62 - Texas Instruments TI-30XIIS | Teachers Guide - Page 70
clubhouse if 3m2 of carpet would cover the floor. Round your answer to 0 decimal places. L= x = 3 3m2 of carpet Press %œ 3 E < %© " < Display ‹(3) ' 1.732050808 DEG ‹(3) FIX ' 2. DEG %œ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 63 - Texas Instruments TI-30XIIS | Teachers Guide - Page 71
Cubes Use this formula to find the volume G 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 Ans¾F½ ¾D ' 12−167/1000 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 64 - Texas Instruments TI-30XIIS | Teachers Guide - Page 72
half again. How many sections would there be after 10 folds? After 15 folds? Press 2 G 10 < 2 G 15 < Display 2^10 ' 1024. DEG 2^15 ' 32768. DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 65 - Texas Instruments TI-30XIIS | Teachers Guide - Page 73
Roots If the volume of a cube is 125 cm3, what is the length of each side? Press 3 %¡ 125 < Display 3 x‹125 5. DEG %¡ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 66 - Texas Instruments TI-30XIIS | Teachers Guide - Page 74
. ? How much of each model was completed per hour? Press Display Sailing ship: 10 a %" < 10-1¾F½ ¾ D ' 1 / 10 DEG Steam ship: 5 a %" < 5-1¾F½ ¾ 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 - Texas Instruments TI-30XIIS | Teachers Guide - Page 75
. nPr Calculates the number of possible permutations. nCr Calculates the number of possible combinations. ! Calculates the factorial. RAND . • 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-30XIIS | Teachers Guide - Page 76
and BA count as only 1 combination. AB AC AD BA BC BD CA CB CD DA DB DC Press 4 H " 2 < Display nPr -n-C-r ! & DEG 4 nCr 2 ' 6. DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 69 - Texas Instruments TI-30XIIS | Teachers Guide - Page 77
. Use this formula to find how many different ways they can place 1st and 2nd. 4 nPr 2 = x ABC D AB and BA count as 2 permutations. AB AC AD BA BC BD CA CB CD DA DB DC Press 4 H 2 < Display n-P-r- nCr ! & DEG 4 nPr 2 ' 12. DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide - Texas Instruments TI-30XIIS | Teachers Guide - Page 78
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 -! & DEG 4! ' 24. DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 71 - Texas Instruments TI-30XIIS | Teachers Guide - Page 79
Random (RAND) Generate a sequence of random numbers. Press H " " " < < < Results will vary. Display % -R_A_N_D RANDI DEG RAND ' 0.839588694 DEG RAND ' 0.482688185 DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 72 - Texas Instruments TI-30XIIS | Teachers Guide - Page 80
Random (RAND) Set 1 as the current seed and generate a sequence of random numbers. Press 1 L ! < H " " " < < < Display % rand ---- 310000. DEG 1¹rand ' 1. DEG RAND ' 0.000018633 DEG RAND ' 0.745579721 DEG H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 73 - Texas Instruments TI-30XIIS | Teachers Guide - Page 81
Random Integer (RAND) Generate a random integer from 2 through 10. Press Display H ! % RAND -R-A-N_D_I < 2 %¤ 10 E DEG % ANDI( 2, 10) DEG < RANDI( 2, 10) & ' 3. DEG Results will vary. H © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 74 - Texas Instruments TI-30XIIS | Teachers Guide - Page 82
Gxy a b r Number of x (or x,y) data points. Mean of all x or y values. 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 are entered. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 75 - Texas Instruments TI-30XIIS | Teachers Guide - Page 83
Entering 1-VAR Stat Data Five students took a math test. Using their scores, enter the data points-85, 85, 97, 53, 77. Press %" < v Display DEG X3=53 S STAT DEG $ $ 77 < X4=77 S 77. STAT DEG Continued © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 76 - Texas Instruments TI-30XIIS | Teachers Guide - Page 84
) 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 STAT DEG %Gx Gx 2 ---32597. STAT DEG u © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 77 - Texas Instruments TI-30XIIS | Teachers Guide - Page 85
mode. Press v Display X1=85 S $ $ $ $ STAT DEG X3=53 S $ 0 < u " %˜ < STAT DEG FRQ=0 STAT 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-30XIIS | Teachers Guide - Page 86
=58 S $ 35 STAT DEG Y1 =35 S $ 47 STAT DEG X2 =47 S $ 28 STAT DEG Y2 =28 S < Continued STAT Y2 =28 STAT DEG S 28. DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 79 - Texas Instruments TI-30XIIS | Teachers Guide - Page 87
finished, exit STAT mode and clear all data points. Press u ! < 32 E < %˜ < Display % x' -y' STAT DEG y' (32) 18.45454545 STAT DEG EXIT ST: -Y N STAT DEG ~ DEG u %˜ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 80 - Texas Instruments TI-30XIIS | Teachers Guide - Page 88
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-30XIIS | Teachers Guide - Page 89
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-30XIIS | Teachers Guide - Page 90
Inverse Tangent Use this formula to find the angle of depression. Round your answer to the 25 & ' 13.49573328 DEG F 0 -1 2 3 4 5 6 7 8 9 < DEG tan-1 (600/25 & ' 13.5 FIX DEG %© 8 tan-1 (600/25 & ' 13.49573328 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 83 - Texas Instruments TI-30XIIS | Teachers Guide - Page 91
Cosine Use this formula to find how far the base of the ladder is Display 5 V ? 75 E < %© " 5*cos (75) ' 1.294095226 DEG F -0 1 2 3 4 5 6 7 8 9 < %© 8 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-30XIIS | Teachers Guide - Page 92
Inverse Cosine Use this formula to find the angle of the ski jump. Round your answer & ' 500 E < 25.04169519 DEG %© " " F 0 -1 2 3 4 5 6 7 8 9 DEG < cos-1 (453/50 & ' 25.0 DEG %© 8 cos-1 (453/50 & ' 25.04169519 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 85 - Texas Instruments TI-30XIIS | Teachers Guide - Page 93
Sine Use this formula to find the length of the ramp. Round your E < %© " < %© 8 Display 1.5/sin (12) & ' 7.214601517 DEG F -0 1 2 3 4 5 6 7 8 9 DEG 1.5/sin (12) & ' 7. FIX DEG 1.5/sin (12) & ' 7.214601517 DEG > © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 86 - Texas Instruments TI-30XIIS | Teachers Guide - Page 94
Inverse Sine Use this formula to find the angle of the conveyor belt. Round your Display sin-1 (13/20) & ' 40.54160187 DEG F 0 -1 2 3 4 5 6 7 8 9 DEG sin-1 (13/20) & ' 40.5 FIX DEG sin-1 (13/20) & ' 40.54160187 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 87 - Texas Instruments TI-30XIIS | Teachers Guide - Page 95
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-30XIIS | Teachers Guide - Page 96
scientific and engineering notations. Press Display 12543 % " < < % " < % " < FLO SCI ENG --- DEG 12543 ' 1.2543x1004 SCI DEG FLO SCI ENG --- SCI DEG 12543 ' 12.543x1003 ENG DEG FLO SCI ENG --- ENG DEG 12543 ' 12543. DEG % © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X - Texas Instruments TI-30XIIS | Teachers Guide - Page 97
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 & ' 628700000. DEG %¢ © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 90 - Texas Instruments TI-30XIIS | Teachers Guide - Page 98
power of the value). 4. % ^ calculates the natural antilogarithm (e raised to the power of the value). Notes • The examples on the transparency masters assume all default settings. • E ends a logarithmic function. 3 1 4 2 © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 91 - Texas Instruments TI-30XIIS | Teachers Guide - Page 99
notation. Press A 23 E < %© 4 B 23 E < %© 8 Display log (23) ' 1.361727836 DEG -F 0 1 2 3 4 5 6 7 8 9 DEG log (23) ' 1.3617 FIX DEG ln (23) ' 3.1355 FIX DEG ln (23) ' 3.135494216 DEG A B © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 92 - Texas Instruments TI-30XIIS | Teachers Guide - Page 100
Display %Ž 3 8 9824 E < %© 10^ (3.9824) ' 9602.846792 DEG -F 0 1 2 3 4 5 6 7 8 9 DEG 4 10^ (3.9824) ' 9602.8468 FIX DEG % 3 8 e^ (3.9824) ' 9824 E < 53.6456 FIX DEG %© 8 e^ (3.9824) ' 53.64562936 DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 93 - Texas Instruments TI-30XIIS | Teachers Guide - Page 101
would any other number. 1 • For decimal/DMS conversions, the 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 for Teachers 94 - Texas Instruments TI-30XIIS | Teachers Guide - Page 102
. How long did you watch videos? Press 2 = < Display ¡- Å Æ r g & DEG 2¡ 5 = " < T 1 = < 46 = " < < = ! DEG ¡ -Å Æ r g & DEG 2¡ 5Å + 1¡ DEG 2¡ 5Å + 1¡ 46Å ' 3.85 DEG % ¾-D-M-S- DEG < < Ans ¾ DMS ' 3¡ 51Å 0Æ DEG © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 95 - Texas Instruments TI-30XIIS | Teachers Guide - Page 103
Fraction to Degrees, Minutes, and Seconds How much is 2/3 of an hour in hours, minutes, and seconds? Press 2 N 3 Display 2®3 = ! < < DEG % ¾-D-M-S- DEG 2®3 ¾ DMS ' 0¡ 40Å 0Æ DEG = © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers 96 - Texas Instruments TI-30XIIS | Teachers Guide - Page 104
, Gradients Calculate the sine of 30 in degrees, radians, and gradients. Press > 30 E < 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 I © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for - Texas Instruments TI-30XIIS | Teachers Guide - Page 105
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-30XIIS | Teachers Guide - Page 106
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 11 30° y (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-30XIIS | Teachers Guide - Page 107
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-30XIIS | Teachers Guide - Page 108
Find the hyperbolic sine (sinh), cosine (cosh), and tangent (tanh) of 5. Press Display %› > 5 E < 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-30XIIS | Teachers Guide - Page 109
degrees to DMS notation. Turns on the 2nd indicator and accesses the function shown above the next key that you press. Calculates the common antilogarithm (10 raised to the power of the value). Calculates the square root. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers A-1 - Texas Instruments TI-30XIIS | Teachers Guide - Page 110
you turn on the TI30X ÙS, it is always in the DEG mode. Calculates the natural antilogarithm (e raised to the power of the value). Lets you enter and calculate the exponent. Completes the operation or executes the command. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers A-2 - Texas Instruments TI-30XIIS | Teachers Guide - Page 111
standard Calculates the common logarithm (base 10). Displays the following menu of variables. A B C D E Lets you view the stored value before pasting it to the display. Turns off the calculator and clears the display. Turns on the calculator. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide - Texas Instruments TI-30XIIS | Teachers Guide - Page 112
Calculates the number of possible permutations. nCr Calculates the number of possible combinations. ! Calculates the factorial menu. FLO Restores standard mode (floating decimal). SCI Turns on scientific mode and displays TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers A-4 - Texas Instruments TI-30XIIS | Teachers Guide - Page 113
points. Mean of all x or y values. Sx or Sy sx or sy Sample standard deviation of x or y. Population standard deviation of x or y. Gx or Gy Sum of all x values or y values. Calculates the tangent. Calculates the inverse tangent. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for - Texas Instruments TI-30XIIS | Teachers Guide - Page 114
Precedes the exponent in scientific or engineering notation. ' ( An entry is stored in history before and/or after the active screen. Press # and $ to scroll. % & An entry or menu displays beyond 11 digits. Press ! or " to scroll. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for - Texas Instruments TI-30XIIS | Teachers Guide - Page 115
least 2 data points (n > 1). The command contains a syntax error-entering more than 23 pending operations, 8 pending values, or having misplaced functions, arguments, parentheses, or commas. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X ÙS: A Guide for Teachers C-1 - Texas Instruments TI-30XIIS | Teachers Guide - Page 116
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 IIS: A Guide For Teachers D-1 - Texas Instruments TI-30XIIS | Teachers Guide - Page 117
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 local Texas Instruments retailer/distributor. © 1999 TEXAS INSTRUMENTS INCORPORATED TI-30X IIS: A Guide For Teachers E-1 - Texas Instruments TI-30XIIS | Teachers Guide - Page 118
Texas Instruments U.S.A. 7800 Banner Dr. Dallas, Texas 75251 Texas Instruments Holland B.V. Rutherfordweg 102 3542 CG Ultrecht - The Netherlands Printed By: © 1999 Texas Instruments [email protected] www.ti.com/calc ENG/E 30XII/TG/2L1/B
-
1 -
2 -
3 -
4 -
5 -
6 -
7 -
8
-
9
-
10
-
11
-
12
-
13
-
14
-
15
-
16
-
17
-
18
-
19
-
20
-
21
-
22
-
23
-
24
-
25
-
26
-
27
-
28
-
29
-
30
-
31
-
32
-
33
-
34
-
35
-
36
-
37
-
38
-
39
-
40
-
41
-
42
-
43
-
44
-
45
-
46
-
47
-
48
-
49
-
50
-
51
-
52
-
53
-
54
-
55
-
56
-
57
-
58
-
59
-
60
-
61
-
62
-
63
-
64
-
65
-
66
-
67
-
68
-
69
-
70
-
71
-
72
-
73
-
74
-
75
-
76
-
77
-
78
-
79
-
80
-
81
-
82
-
83
-
84
-
85
-
86
-
87
-
88
-
89
-
90
-
91
-
92
-
93
-
94
-
95
-
96
-
97
-
98
-
99
-
100
-
101
-
102
-
103
-
104
-
105
-
106
-
107
-
108
-
109
-
110
-
111
-
112
-
113
-
114
-
115
-
116
-
117
-
118
 |
 |
TI-30X II