Calc Manual 2

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TI-30X II


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TI-30X S:A Guide for Teachers

Developed byTexas Instruments Incorporated

Activities developed byGary Hanson and Aletha Paskett

Illustrated byJay Garrison


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About the Authors

Gary Hanson and Aletha Paskett are math teachers in the Jordan Independent School Districtin Sandy, Utah. They developed the Activities section and assisted in evaluating

theappropriateness of the examples in the How to Use the TI-30X S section of this guide.

Important Notice Regarding Book Materials

Texas Instruments makes no warranty, either expressed or implied, including butnot limited to any implied warranties ofmerchantability and fitness for a particular purpose, regarding any programs orbook materials and makes such materials availablesolely on an as-is basis. In no event shall Texas Instruments be liable to anyonefor special, collateral, incidental, or consequential

damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of TexasInstruments, regardless of the form of action, shall not exceed the purchase price of this book. Moreover, Texas Instruments shallnot 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 may produce results differentfrom those described in these materials.

Permission To Reprint or Photocopy

Permission is hereby granted to teachers to reprint or photocopy in classroom, w

orkshop, or seminar quantities, the pages or sheetsin this book that carry a Texas Instruments copyright notice. These pages are designed to be reproduced by teachers for use inclasses, workshops, or seminars, provided each copy made shows the copyright notice. Such copies may not be sold, and furtherdistribution is expressly prohibited. Except as authorized above, prior writtenpermission must be obtained from Texas InstrumentsIncorporated to reproduce or transmit this work or portions thereof in any otherform or by any other electronic or mechanicalmeans, including any information storage or retrieval system, unless expressly permitted by federal copyright law.

Send inquiries to this address:Texas Instruments Incorporated7800 Banner Drive, M/S 3918Dallas, TX 75251Attention: Manager, Business Services

Note: If you request photocopies of all or portions of this book from others, you must include this page (with the permissionstatement above) to the supplier of the photocopying services.

www.ti.com/[email protected]

Copyright 1999 Texas Instruments Incorporated.


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Except for the specific rights granted herein, all rights are reserved.Printed in the United States of America.

Automatic Power Down, APD, and EOS are trademarks of Texas Instruments Incorporated.

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About the Teacher Guide .

How the Teacher Guide is Organized

This guide consists of two sections: Activities

and How to Use the TI-30X S. The Activitiessection is a collection of activities forintegrating the TI-30X S into mathematicsinstruction. The How To Use the TI-30X Ssection is designed to help you teach studentshow to use the calculator.

Activities

The activities are designed to be teacher-directed. They are intended to help developmathematical concepts while incorporating the

TI-30X S as a teaching tool. Each activity isself-contained and includes the following:

An overview of the mathematical purposeof the activity.The mathematical concepts beingdeveloped.The materials needed to perform theactivity.

The detailed procedure, including step-bystepTI-30X S key presses.A student activity sheet.How to Use the TI-30X S

This section contains examples ontransparency masters. Chapters are numberedand include the following.

An introductory page describing the

calculator keys presented in the example,the location of those keys on theTI-30X S, and any pertinent notes abouttheir functions.Transparency masters following theintroductory page provide examples ofpractical applications of the key(s) beingdiscussed. The key(s) being discussed arecircled on the TI-30X S keyboard. 1999 TEXAS INSTRUMENTS INCORPORATED

Things to Keep in Mind

While many of the examples on the


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transparency masters may be used todevelop mathematical concepts, they werenot designed specifically for that purpose.For maximum flexibility, each example andactivity is independent of the others.Select the transparency master

appropriate for the key you are teaching, orselect the activity appropriate for themathematical concept you are teaching.If an example does not seem appropriatefor your curriculum or grade level, use it toteach the function of a key (or keys), andthen provide relevant examples of your own.To ensure that everyone starts at thesame point, have students reset thecalculator by pressing &and simultaneously

or by pressing %.and then selecting Y (yes).Conventions Used in the Teacher Guide

In the text, brackets [ ] around a keyssymbol/name indicate that the key is asecond, or alternate, function.For example: Z

On the transparency masters, second

functions are shown just as they appear onthe keyboard.For example: .

How to Order Additional Teacher Guides

To place an order or to request informationabout Texas Instruments (TI) calculators,use our e-mail address: [email protected] our TI calculator home page: www.ti.com/calcor, call our toll-free number:

1-800-TI-CARES (1-800-842-2737)

TI-30X IIS: A Guide for Teachers


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About the TI-30XS

Two-Line Display

The first line (entry line) displays an entry of upto 88 digits (47 digits for the stat andconstant entry lines). Entries begin on the left;those with more than 11 digits scroll to theright. Press !and "to scroll the entry line.Press %!or %"to move the cursorimmediately to the beginning or end of theentry.

The second line (result line) displays a result ofup to 10 digits, plus a decimal point, negativesign, x10 indicator, and 2-digit positive or

negative exponent. Results that exceed thedigit limit are displayed in scientific notation.

Display Indicators

Refer to Appendix B for a list of the displayindicators.

Order of Operations

The TI-30X S uses the Equation OperatingSystem (EOSTM) to evaluate expressions. Theoperation priorities are listed on the

transparency master in Chapter 4, Order ofOperations and Parentheses (page 41).

Because operations inside parentheses areperformed first, you can use DEto changethe order of operations and, therefore, changethe result.

2nd Functions

Pressing %displays the 2nd indicator, andthen accesses the function printed above the

next key pressed. For example, %b25 E


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Press


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About the TI-30XS (Continued)

Resetting the TI-30X S

Pressing &and -simultaneously orpressing %and then selecting Y (yes)resets the calculator.

Resetting the calculator:

Returns settings to their defaultsstandard notation (floating decimal) anddegree (DEG) mode.Clears memory variables, pending

operations, entries in history, statisticaldata, constants, and Ans (Last Answer).Note: The examples on the transparencymasters assume all default settings.

Automatic Power Down(APD)

If the TI-30X S remains inactive for about5 minutes, APD turns it off automatically.Press &after APD. The display, pendingoperations, settings, and memory are retained.

1999 TEXAS INSTRUMENTS INCORPORATED

TI-30X S: A Guide for Teachers


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Table of Contents.

About the Authors iiAbout the Teacher Guide iii

About the TI-30X S ivActivitiesThe Better Batter The FIX Key 2Star Voyage Scientific Notation 6Trig Functions 10Whats My Score 1-Variable Statistics 14Heart Rates 1-Variable Statistics 17WNBA Stats

2-Variable Statistics 23How to Use the TI-30X S1 TI-30X S Basic Operations 292 Clear, Insert, and Delete 333 Basic Math 364 Order of Operations andParentheses 405 Constant 436 Decimals and Decimal Places 457 Memory 478 Fractions 529Pi 58

How to Use the TI-30X S (Continued)

10 Powers, Roots, and Reciprocals 61

11 Probability 6812 Statistics 7513 Trigonometry 8114 Notation 8815 Logarithms and Antilogarithms 91

16Angle Settings and Conversions 94

17

Polar and RectangularConversions 9818Hyperbolics 100

Appendix AA-1

Quick Reference to Keys

Appendix BB-1

Display Indicators

Appendix C


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C-1

Error Messages

Appendix DD-1

Support and Service Information

Appendix EE-1

Warranty Information

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Activities

The Better Batter The FIX Key 2Star Voyage

Scientific Notation 6Trig Functions 10Whats My Score? 1-Variable Statistics 14Heart Rates 1-Variable Statistics 17WNBA Stats 2-Variable Statistics 23



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The Better Batter The FIX Key

Overview

Students use %.on the TI-30X S to change

numbers to different place values. Students calculatebatting averages using the TI-30X S and then roundtheir answers to 3 decimal places.

Introduction

1.Have students practice rounding the followingnumbers to 3 decimal places using pencil andpaper.a. 2.35647 2.356b. 15.3633 15.363

c. 0.02698 0.0272.Have students round the following numbers to4 decimal places using the TI-30X S.a.4.39865 4.3987b.72.965912 72.9659c.0.29516 0.2952d.0.00395 0.0040

Activity

Present the following problem to students:

You are going to play Virtual Baseball. You need toselect 9 players from the list to be on your team.Choose the players with the best batting averages.Find the batting averages (number of hits numberof times at bat) rounded to 3 decimal places for eachplayer. Make a list of your players in order, fromhighest to lowest.

See the table on page 3 for solutions.Math Concepts Materials rounding TI-30X S place value pencil division student comparing and activityordering decimals

1. Enter the first number.

4.39865

2.Press %.to display


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The Better Batter Name ___________________________Date ___________________________

The FIX Key

Problems

1. Round the following numbers to 3 decimal places.a. 2.35647 _________________b. 15.3633 _________________c. 0.02698 _________________2. Using the TI-30X S, 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 S: A Guide for Teachers


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The Better Batter Name ___________________________Date ___________________________

The FIX Key

Problem

You are going to play Virtual Baseball. You need to select 9 players from the list tobe on your team. Choose the players with the best batting averages.

Procedure

1.Find the batting averages (number of hits number of times at bat) rounded to3 decimal places for each player.Player Number of Hits Number of

Times at BatBatting Average(rounded to 3 decimal places)C. Ripken 122 368Puckett 119 363Molitor 119 364Greenwell 104 334Tartabull 103 311Palmeiro 120 366Franco 109 344Joyner 105 338Boggs 106 329Baines 91 290

Sax 113 388Williams 20 74Sheridan 15 63Barfield 64 284Mattingly 109 367Hall 87 280

2.Make a list of your players in order, from highest to lowest.Player 1 ____________________ Player 6 ____________________Player 2 ____________________ Player 7 ____________________Player 3 ____________________ Player 8 ____________________

Player 4 ____________________ Player 9 ____________________Player 5 ____________________



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Star Voyage Scientific Notation

Math Concepts Materials

Overview

scientific TI-30X SStudents investigate scientific notation by changing

notation pencil

numbers into scientific notation, and then using them

addition student activityin calculations.

division

IntroductionSet up the activity by telling your students:

The standard form for scientific notation is a Q 10n ,where a is greater than or equal to 1 and less than10, and n is an integer.

1.Have students practice writing the followingnumbers in scientific notation using pencil andpaper.a. 93 000 000 9.3 Q 107

b. 384 000 000 000 3.84 Q 1011c. 0.00000000000234 2.34 Q 10-12d. 0.0000000157 1.57 Q 10-8

2.Have students change the following numbers intoscientific notation using the TI-30X S.a.12 000 000 1.2 Q 107b.974 000 000 9.74 Q 108c.

0.0000034 3.4 Q 10-6d.0.000000004 4 Q 10-9Note:Answers assume the default floating decimalsetting.

3.Have students change the following numbers intofloating decimal (standard notation).a.5.8 Q107 58 000 000b.

7.32 Q105 732 000c.6.2 Q10-6 0.0000062


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Star Voyage Scientific Notation (Continued)

Activity


You are a captain of a starship. You have beenassigned to go to Alpha Centauri and you have5 years to get there. The distance from the sun toAlpha Centauri is 2.5 x 1013 miles. The distancefrom the earth to the sun is approximately

9.3 x 107 miles. Your ship can travel at the speed oflight. You know that light can travel a distance of6 x 1012 miles in 1 light year. Will you be able toget to Alpha Centauri on time?Procedure

1.Using the TI-30X S, find the total distance youneed to travel.2.5 Q 1013 + 9.3 Q 107 = 2.5000093 Q 1013 miles2.Next, find out how long it will take you to travelthe distance. (distance traveled P1 light year)2.5000093 Q 1013 P 6 Q 1012 = 4.166682167 years

3.Can you make the trip in the given time?Yes

Extension

Now that you have been successful, you have beenasked to make another trip. The distance from theSun to Delta Centauri is 9 x 1013 miles. How longwill it take you to get there from Earth?

15 years

Hint: Make sure your calculatoris in scientific notation mode

before beginning addition.Hint: The Earth is approximately

9.3 x 107 miles from the Sun. 1999 TEXAS INSTRUMENTS INCORPORATEDTI-30X S: A Guide for Teachers


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Name ___________________________

Star Voyage

Scientific Notation Date ___________________________

Problems

1.Write the following numbers in scientific notation.Standard Notation Scientific Notation

a.93 000 000 _________________________b.384 000 000 000 _________________________c.

0.00000000000234 _________________________d.0.0000000157 _________________________2.Using the TI-30X S, change the following numbers into scientific notation.Standard Notation Scientific Notation

a.12 000 000 _________________________b.974 000 000 _________________________c.0.0000034 _________________________

d.0.000000004 _________________________3.Using the TI-30X S, change the following numbers into floating decimalnotation (standard).Scientific Notation Standard Notation

a.5.8 Q107 _________________________b.7.32 Q105 _________________________c.

6.2 Q10-6 _________________________d.3 Q10-8 _________________________ 1999 TEXAS INSTRUMENTS INCORPORATEDTI-30X S: A Guide for Teachers


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Name ___________________________

Star Voyage

Scientific Notation Date ___________________________

Problem

You are a captain of a starship. You have been assigned to go to AlphaCentauri, and you have 5 years to get there. The distance from the Sun toAlpha Centauri is 2.5 x 1013 miles. The distance from the Earth to the Sun isapproximately 9.3 x 107 miles. Your ship can travel at the speed of light. Youknow that light can travel a distance of 6 x 1012 miles in 1 light year. Will yoube able to get to Alpha Centauri on time?

Procedure

1. Using the TI-30X S, find the total distance that you need to travel.Hint: Make sure your calculator is in scientific notation mode before you beginaddition.

2.Next, find out how long it will take you to travel the distance. (distancetraveled P 1 light year) ________________________________________________________3.Can you make the trip in the given time? _____________________________Extension

Now that you have been successful, you have been asked to make anothertrip. The distance from the Sun to Delta Centauri is 9 x 1013 miles. How longwill it take you to get there from Earth?

Hint: The Earth is approximately 9.3 Q 107 miles from the Sun.



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Trig Functions

Overview

Students practice solving sine, cosine, and tangent

ratios, and solve problems involving trigonometricratios.

Introduction

Introduce the trigonometric ratios to students.

sin = opposite leg hypotenusecos = adjacent leg hypotenusetan = opposite leg adjacent leg

1.Have students find the trigonometric ratios forthe triangle using the above definitions. Round tothe nearest hundredth if necessary. (Use %for rounding.)a.sin C 3 5 = 0.60b.cos C 4 5 = 0.80c.tan C 3 4 = 0.75d.sin A 4 5 = 0.80

e.cos A 3 5 = 0.60f.tan A 4 3 = 1.332.Have students find the value of each ratio usingthe TI-30X S. Round to the nearest 10thousandth.a.sin 71 0.9455b.tan 31 0.6009

c.cos 25 0.90633.Have students find the measure of each angleusing the TI-30X S. Round to the nearestdegree.a.sin B = 0.4567 27 degreesb.cos A = 0.6758 47 degreesc.tan C = 5.83 80 degreesMath Concepts Materials

multiplication TI-30X S division pencil trigonometric student


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ratios activityA3 5B4C

To set 2 decimal places:

1. Press %..F0123456789

2. Press 2 to select 2decimal places.To find sin 71:

1.

Press >.sin(

2. Enter 71; press E


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Trig Functions (Continued)

Activity


You need to build a ramp to your front door. Thedistance from the ground to the bottom of the dooris 1.5 feet. You dont want the angle of incline to bemore than 6 degrees. The distance from the street tothe door is 20 feet. Is there enough room to build theramp?

Procedure

1.Make a drawing of the problem.

1.5 ft.A

20 ft.

2.Use the trigonometric ratiotan = opposite leg adjacent leg

to find angle A.

Angle A is 4.3 degrees (rounded to the nearesttenth). Yes, there is enough room to build the

ramp.

Extension


You want to start the ramp 15 feet away from thedoor. Can you do that and still have the angle ofincline be less than 6 degrees?

Yes, angle A is 5.7.

1. Press %\.

tan-1(

2.Enter 1.5 W20 and pressE


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Name ___________________________

Trig Functions

Date ___________________________

Problems

1.Find the trigonometric ratios for the triangle. Round to the nearesthundredth. (Use %.for rounding.)a.sin C _______________________b.cos C _______________________ A53

c. tan C_______________________B

C

4

d. sin A_______________________e. cos A

_______________________f.tan A _______________________2.Using the TI-30X S, find the value of each ratio. Round to the nearest tenthousandth.a. sin 71_______________________b. tan 31_______________________c. cos 25 _______________________3.

Using the TI-30X S, find the measure of each angle. Round to the nearestdegree.a. sin B = 0.4567 _______________________b. cos A =0.6758 _______________________c. tan C = 5.83 _______________________ 1999 TEXAS INSTRUMENTS INCORPORATEDTI-30X S: A Guide for Teachers


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Name ___________________________

Trig Functions

Date ___________________________

Problem

You need to build a ramp to your front door. The distance from the ground tothe bottom of the door is 1.5 feet. You dont want the angle of incline to bemore than 6 degrees. The distance from the street to the door is 20 feet. Isthere enough room to build the ramp?

Procedure

1. Make a drawing of the problem.2. Use the trigonometric ratio tan = opposite leg adjacent leg to find angle

A. (Round your answer to the nearest tenth.) _________________________3. Is there room to build the ramp? ____________________________________Extension

You want to start the ramp 15 feet away from the door. Can you do that andstill have the angle of incline be less than 6 degrees?



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Whats My Score? 1-Variable Statistics (Continued)

2.Now find the average of your friends scores.Remember to put 2 as the frequency for 89 and 1

for all others.3.Who won?Your friend: 93 (You had 92.6.)

Extension


Your friend took a test on the day you were absent

and scored 95. What score do you need to get so that

you are the winner?

The score you need: 98

Note:Make sure you exit the STAT mode before going onto another problem.

1.Press %t""30 E

sin(30)sin(30)sin(30) '

0.50.50.5 1.For nCr or nPr n or r are not integers .0.For x! x is not an integer between 0 and 69.

EQUATIONLENGTH ERRORAn entry exceeds the digit limits (88 for entry line and 47 for statistics orconstant entry lines); for example, combining an entry with a constantthat exceeds the limit.FRQ DOMAIN FRQ value (in 1-variable statistics) < 0 or >99, or not an integer.OVERFLOW q .110, where qis an angle in a trig, hyperbolic, or R4Pr function.STAT You pressed uwith no defined data points. You pressed v, u, or %wwhen not in STAT mode. Statistical analyses do not have at least 2 data points(n > 1).SYNTAX The command contains a syntax errorentering more than 23 pending

operations, 8 pending values, or having misplaced functions, arguments,parentheses, or commas.

C-1



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Support and Service Information D

ProductSupport

ProductService

Other TIProducts andServices

Customers in the U.S., Canada, Puerto Rico, and the VirginIslands

For general questions, contact Texas Instruments Customer Support:

phone: 1-80-T-CARES (1-800-842-2737)e-mail: [email protected]

For technical questions, call the Programming Assistance Group ofCustomer Support:

phone: 1-972-917-8324

Customers outside the U.S., Canada, Puerto Rico, and theVirgin Islands

Contact TI by e-mail or visit the TI calculator home page on the World Wide

Web.

e-mail: [email protected]

internet: www.ti.com/calc

Customers in the U.S. and Canada Only

Always contact Texas Instruments Customer Support before returning aproduct for service.

Customers outside the U.S. and Canada

Refer to the leaflet enclosed with this product or contact your local TexasInstruments retailer/distributor.

Visit the TI calculator home page on the World Wide Web.

www.ti.com/calc

1999 TEXAS INSTRUMENTS INCORPORATED TI-30X IIS: A Guide For Teachers


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Warranty Information E

Customers inthe U.S. andCanada Only

All Customersoutside the

U.S. andCanadaOne-Year Limited Warranty for Electronic Product

This Texas Instruments (TI) electronic product warranty extends only tothe original purchaser and user of the product.

Warranty Duration. This TI electronic product is warranted to the originalpurchaser for a period of one (1) year from the original purchase date.

This TI electronic product is warranted against defective materials andconstruction. THIS WARRANTY IS VOID IF THE PRODUCT HAS BEEN DAMAGED BY ACCIDENT OR

UNREASONABLE USE, NEGLECT, IMPROPER SERVICE, OR OTHER CAUSES NOT ARISING OUT OFDEFECTS IN

MATERIALS OR CONSTRUCTION.

Warranty Disclaimers. ANY IMPLIED WARRANTIES ARISING OUT OF THIS SALE, INCLUDINGBUT NOT

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 BELIABLE FOR LOSS OF

USE OF THE PRODUCT OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS, EXPENSES, OR DAMAGES INCURRED BY

THE CONSUMER OR ANY OTHER USER.

Some states/provinces do not allow the exclusion or limitation of impliedwarrant

ies or consequential damages, so the above limitations orexclusions may not apply to you.

Legal Remedies. This warranty gives you specific legal rights, and you mayalso have other rights that vary from state to state or province toprovince.

Warranty Performance. During the above one (1) year warranty period, yourdefective product will be either repaired or replaced with a reconditionedmodel of an equivalent quality (at TIs option) when the product is returned,postage prepaid, to Texas Instruments Service Facility. The warranty ofthe repaired or replacement unit will continue for the warranty of theoriginal unit or six (6) months, whichever is longer. Other than the postagerequirement, no chargewill be made for such repair and/or replacement. TIstrongly recommends that you

insure the product for value prior to mailing.

Software. Software is licensed, not sold. TI and its licensors do not


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warrant that the software will be free from errors or meet your specificrequirements. All software is provided AS IS.

Copyright. The software and any documentation supplied with this productare protected by copyright.

For information about the length and terms of the warranty, refer to your

package and/or to the warranty statement enclosed with this product, orcontact your local Texas Instruments retailer/distributor.

1999 TEXAS INSTRUMENTS INCORPORATED TI-30X IIS: A Guide For Teachers


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Printed By:

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1999 Texas Instruments www.ti.com/calc 30XII/TG/2L1/B


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Calc Manual 2

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