Texas Instruments MultiView TI-30XS Manual

Texas Instruments MultiView TI-30XS Manual

Multiview scientific calculator
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TI-30XS MultiView™
A Guide for Teachers
Developed by
Texas Instruments Incorporated
Activities developed by
Gary Hanson, Aletha Paskett, and Margo Lynn Mankus
Illustrated by
Jay Garrison and David Garrison

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  • Page 1 TI-30XS MultiView™ A Guide for Teachers Developed by Texas Instruments Incorporated Activities developed by Gary Hanson, Aletha Paskett, and Margo Lynn Mankus Illustrated by Jay Garrison and David Garrison...
  • Page 2 Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this product. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.
  • Page 3: Table Of Contents

    Table of contents CHAPTER PAGE CHAPTER PAGE About the teacher guide How to use the TI-30XS MultiView About the TI-30XS MultiView™ calculator (Continued) calculator 11 Statistics 12 Probability Activities 13 Function table Star voyage 14 Powers, roots, and reciprocals Scientific notation 15 Logarithms and Heart rates exponential functions...
  • Page 4 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 5: About The Teacher Guide

    • The detailed procedure, including step-by- To place an order or to request information about step TI-30XS MultiView key presses. Texas Instruments (TI) calculators, use our • A student activity sheet. e-mail address: ti-cares@ti.com, visit our home page: education.ti.com, or call our toll-free...
  • Page 6: About The Ti-30Xs Multiview™ Calculator

    About the TI-30XS MultiView™ calculator Home screen Mode Use pto choose modes. Press $ # ! " to On the Home screen, you can enter mathematical choose a mode, and < to select it. Press - expressions and functions, along with other or %Q to return to the Home screen and instructions.
  • Page 7 About the TI-30XS MultiView™ (Continued) Menus Resetting the TI-30XS MultiView Certain keys display menus: H, %I, v, Pressing & and - simultaneously or %t, % , %h, and %{. pressing % and then selecting 2 (Yes) Press " or $ to scroll and select a menu item, resets the calculator.
  • Page 8 viii TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 9 Activities Star Voyage — Scientific notation Heart Rates — 1-variable statistics At the movies — Data formulas at the box office Name that rule — Algebraic expressions © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 10 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 11: Star Voyage Scientific Notation

    Star voyage — scientific notation Overview Math Concepts Materials Students investigate scientific notation by changing • scientific notation • TI-30XS MultiView™ numbers into scientific notation, and then using them in • addition • pencil • division • student activity calculations. Introduction Set up the activity by telling your students: The standard form for scientific notation is...
  • Page 12 Star voyage — scientific notation (Continued) Activity Hint: Make sure the TI-30XS MultiView calculator is in MathPrint™ mode to work Present the following problem to students: this problem. You are a captain of a starship in the distant future. You have been assigned to go to Alpha Centauri and you have 5 years to get there.
  • Page 13 Star voyage — Name ___________________________ 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-30XS MultiView™ calculator, change the following numbers into scientific notation using SCI mode.
  • Page 14 Star voyage — Name ___________________________ scientific notation Date ___________________________ Problem You are a captain of a starship in the distant future. You have been assigned to go to Alpha Centauri and you have 5 years to get there. The distance from our sun to Alpha Centauri is 2.5 x 10 miles.
  • Page 15: Heart Rates - 1-Variable Statistics

    Heart rates — 1-variable statistics Overview Math Concepts Materials Students use the data editor and statistics function • mean, minimum, • TI-30XS MultiView of the TI-30XS MultiView™ calculator to investigate maximum, and • stopwatch or a range watch with a the effect of exercise on heart rate.
  • Page 16 Heart rates — 1-variable statistics (Cont.) 4. Check the statistics calculations. After students ³ Follow these steps: display (Sigma ), explain that is the sum Ò Ò 1. View the statistical data. of all the heart rates. Ask students: n should equal the total number of •...
  • Page 17: Heart Rates

    Heart rates — Name ___________________________ 1-variable statistics Date ___________________________ Problem What do you think the average heart rate is for someone your age? What about after exercising? Procedure 1. Use this table to record your class or group data (resting). Heartbeats per minute Frequency (resting)
  • Page 18 Heart rates — Name ___________________________ 1-variable statistics Date ___________________________ 4. Use this table to record your class or group data (running). Heartbeats per minute Frequency (running) 5. What is the class (group) average? _______________________________________ 6. Answer the following questions from the data: a.
  • Page 19 Heart rates — Name ___________________________ 1-variable statistics Date ___________________________ 7. Use this table to record your class or group data (jumping). Heartbeats per minute Frequency (jumping) 8. What is the class (group) average? _______________________________________ 9. What is the total number of heartbeats for the minute? ____________________ 10.
  • Page 20 Heart rates — Name ___________________________ 1-variable statistics Date ___________________________ 11. Make a bar graph for each of the 3 sets of data you collected. Resting Running Jumping 12. How are the bar graphs the same? How are they different? _________________ _______________________________________________________________________ _______________________________________________________________________ 13.
  • Page 21: Data Formulas At The Box Office

    At the movies — data formulas at the box office Overview Math Concepts Materials Students investigate a table of values and observe • patterns • TI-30XS MultiView patterns in the table. Students use v on the • algebraic • pencil expressions •...
  • Page 22: At The Movies

    At the movies (Continued) Point out that the Money column looks like the multiplication table for the number 4. This connects them back to something familiar. Remind the students that they know that Kyle earns $4 per week. This is the rate of Kyle's savings and it can be written in fractional form as rate = 1 week...
  • Page 23 At the movies (Continued) Ask the students the following: ³ Remind students that for this activity they are using the "If you calculate W weeks times $4, you get a features in vand not o. number. What does that number mean to Kyle?" You ³...
  • Page 24 At the movies (Continued) The students now have taken data from words to a table of values, to a pattern they can view, to writing an algebraic expression. The next step is to show them a view of how the number pattern plots on a graph.
  • Page 25 At the movies (Continued) Procedure Students should write the algebraic equation from the pattern showing in their table: M = P x 11.50 or using implicit multiplication, M = 11.50 P. Students check their formula using the data editor ) on the TI-30XS MultiView™ calculator, as in ³...
  • Page 26 Name ___________________________ At the movies Date ___________________________ Problem A blockbuster movie is opening this weekend. On the news, you hear that tickets will be $11.50 per person. The reporter says that a family of two will spend $23 and a family of three will spend $34.50.
  • Page 27 Name ___________________________ At the movies Date ___________________________ 2. What pattern do you see from your table? Using the information in your table, write a formula (an algebraic expression) which describes the amount of money (M) depending on the number of people (P) that buy a ticket to the show. M = ___________________________ 3.
  • Page 28 Name ___________________________ At the movies Date ___________________________ 5. Your boss wants you to make a presentation to the people who invest money in MultiPlex. The investors want to see numbers and graphs in your presentation! Fill in the table below using the data editor on your calculator. Graph the points from this table. This is another way that an accountant can show how the amount of money (M) depends on the number of people (P).
  • Page 29: Name That Rule

    Name that rule! Overview Math Concepts Materials Students guess the algebraic expression (function) • algebraic • TI-30XS MultiView from a table of values in a game format. Students use expressions • pencil • functions • student activity o on the TI-30XS MultiView™ calculator to enter an •...
  • Page 30 Name that rule! (Continued) to provide an alternate way of thinking about evaluating an expression for different values of Here, an input of = 1 gives an output of = 1 + 3 = 4. Discuss that the expression, + 3, can be thought of as the rule to find .
  • Page 31 Name that rule! (Continued) Rules for group play • Form groups of three to four students. • Assign one student to be the Ruler of the game. • The Ruler is in charge of the calculator for the game. • The Ruler picks an algebraic expression from a paper bag (or any container) and keeps it hidden from the ³...
  • Page 32 Name that rule! (Continued) Algebraic expression list Copy these or other expressions on pieces of paper so the Ruler of each team of players can pick the expression to play. You can also have the Ruler write an expression which you can approve before the start of a game.
  • Page 33 Name that rule! Name ___________________________ Date ___________________________ Problem We follow rules every day. Can you follow the rules to your favorite board game? Do you have to carefully follow the rules to play? We also follow rules when we work with numbers and expressions.
  • Page 34 Name That Rule! Think backwards! Guess the rule from a table of values! Player names: Ruler: Your teacher will give you the instructions on how to play. Use the table to keep track of the values for every player’s turn during the game. Use the Guess columns to check the rule.
  • Page 35 How to use the TI-30XS MultiView™ calculator TI-30XS MultiView basic operations Clearing and correcting Basic math Order of operations and parentheses Numeric notation Fractions Decimals and decimal places Constant Memory and stored variables Data editor and list formulas Statistics Probability Function table Powers, roots, and reciprocals Logarithms and exponential functions...
  • Page 36 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 37: Ti-30Xs Multiview Basic Operations

    TI-30XS MultiView™ basic operations 7. ! and " move the cursor left and right to Keys scroll entries on the Home screen and to 1. & turns on the calculator. navigate in menus. 2. % turns on the 2nd indicator and % ! or % "...
  • Page 38 TI-30XS MultiView™ basic operations (Continued) Notes • The examples on the transparency masters assume all default settings (See page vi). • can be used in an entry before pressing <. Pressing more than once in a current entry may result in a Syntax error. To achieve the desired result, you can: <, and –...
  • Page 39 Second, off, arrows, enter %' ! " • Enter 46 – 23. # $ < • Change 46 to 41. Change 23 to 26 and complete the operation. • Enter 2/5 + 3/10 and complete the operation. • Turn the TI-30XS MultiView™ calculator off and back on.
  • Page 40 Reset Reset the calculator. Press Display 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. TI-30XS MultiView: A Guide For Teachers ©...
  • Page 41 Mode Use pto choose modes. Press $ # ! " to choose a mode, and < to select it. Press - or %Q to return to the Home screen and perform your work using the chosen mode settings. Default mode settings are shown highlighted.
  • Page 42 Mode (continued) NORM displays results with digits to the left and right of the decimal, as in 123456.78. SCI expresses numbers with one digit to the left of the decimal and the appropriate power of 10, as in 1.2345678x10 (which is the same as 123456.78).
  • Page 43 Mode (continued) 0 1 2 3 4 5 6 7 8 9 (fixed decimal point) specifies the number of digits (0 through 9) to display to the right of the decimal. CLASSIC MATHPRINT sets the display input and output. CLASSIC displays inputs and outputs in a single line.
  • Page 44 Menus Certain keys display menus: H, %I, v, %t, % %h, and %{. Some keys may display more than one menu. Press " and $ to scroll and select a menu item, or press the corresponding number next to the menu item.
  • Page 45 Menus (Continued) (Press v once to display the Data editor screen. Press again to display the menu.) CLEAR FORMULA 1: Clear L1 1: Add/Edit Frmla 2: Clear L2 2: Clear L1 Frmla 3: Clear L3 3: Clear L2 Frmla 4: Clear ALL 4: Clear L3 Frmla 5: Clear ALL Press v while you are in the Add/...
  • Page 46 Last answer (Ans) Use Last answer (Ans) to calculate Press Display 5 FT12 F< i< TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 47 Answer toggle Press n to toggle the display result between fraction and decimal answers, exact square root and decimal, and exact pi and decimal. Press Display 8 < © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 48 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 49: Clearing And Correcting

    Clearing and correcting Keys Notes 1. - clears characters and error messages. • The examples on the transparency Press - once to clear an uncompleted masters assume all default settings. entry; press it again to clear the display. Pressing - does not affect the •...
  • Page 50 Delete and insert Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem. Press Display 4569 T 285 ! ! ! ! ! " " " " %f 6 < TI-30XS MultiView: A Guide For Teachers ©...
  • Page 51 Clear Enter 21595. Clear the 95. Clear the entry. Press Display 21595 ! ! - (Clear to right) (Clear entry) © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 52 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 53: Basic Math

    Basic math Keys Notes • The examples on the transparency adds. masters assume all default settings. subtracts. • The TI-30XS MultiView™ allows implied multiplies. multiplication. Example: 3 (4+3) = 21 divides. • Do not confuse with allows < completes the operation or executes subtraction.
  • Page 54 Add, subtract, multiply, divide, equals T U V W Find: < 2 + 54 ½ 16 x 21 = -- - x 10 = 12 x (5 + 6) = Press Display 2 T 54 U 6 < 16 V 21 < 1 q 2 "...
  • Page 55 Negative numbers The temperature in Utah was 3Ä C at 6:00 a.m. By 10:00 a.m. the temperature had risen 12Ä C. What was the temperature at 10:00 a.m.? Press Display M 3 T 12 < The temperature at 10:00 a.m. was 9Ä...
  • Page 56 Percent Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press Display % _ V 80 < Mike saves $12 per week. TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 57: 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-30XS MultiView™...
  • Page 58 Equation Operating System (EOS™) 1 (first) Expressions inside D E Functions that need a E and precede the expression, such as >, A, and some menu items Fractions Functions entered after the expression, such as F and angle unit modifiers ( , r, g) ¡...
  • Page 59 Equation Operating System (EOS™) (Continued) Negation (M) Permutations (nPr) and combinations (nCr) Multiplication, implied multiplication, and division Addition and subtraction Conversions (%O, %j, %R, and ´DMS) < completes all operations and closes all open 11 (last) parentheses. © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS...
  • Page 60 Order of operations T V D E 1 + 2 x 3 = Press Display 1 T 2 V 3 < 1 + (2 x 3) = Press Display 1 T D 2 V 3 E < (1 + 2) x 3 = Press Display D 1 T 2 E...
  • Page 61 Order of operations (Continued) 4 1 ( ) 3 ( ) – = (Classic mode) Press Display p$$$ <- % b 5 F U 4 D 1 E D 3 E < 4 1 ( ) 3 ( ) – = (MathPrint™...
  • Page 62 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 63: Numeric Notation

    Numeric notation Keys Notes • The examples on the transparency masters lets you choose from the following assume all default settings. numeric notation menu. • You can enter a value in scientific notation NORM Restores standard mode (floating regardless of the numeric notation mode decimal).
  • Page 64 Engineering, scientific, floating decimal Enter 12543, which will be in floating decimal notation and normal numeric notation (both default settings in p). Alternate the display result between normal, scientific, and engineering notations by changing settings on the mode screen. Press Display 12543 <...
  • Page 65 Engineering, scientific, floating decimal (Continued) p$< -< © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 66 Scientific notation With the TI-30XS MultiView™ calculator in Norm and MathPrint™ modes (both defaults), enter the following problem in scientific notation using the C key. The Earth is approximately 1.5 x 10 kilometers from the Sun. Jupiter is approximately 7.8 x 10 kilometers from the Sun.
  • Page 67: Fractions

    Fractions Keys 2. q lets you enter a simple fraction. Pressing q before or after a number can result in 1. %N lets you enter mixed numbers and differing behavior. In MathPrint™ mode, fractions. The unit must be an integer. The entering a number before pressing q usually numerator and denominator can contain makes that number the numerator.
  • Page 68 Fractions (Continued) • To paste a previous entry in the denominator, place the cursor in the denominator, press % # to scroll to the desired entry, and then press < to paste the entry to the denominator. • To paste a previous entry in the numerator or unit, place the cursor in the numerator or unit, press # or % # to scroll to the desired entry, and then press <...
  • Page 69 Fractions At the party, you ate -- - of the pepperoni pizza and ---- - of the sausage pizza. The pizzas are the same size. If you put the pieces together, how much of one whole pizza did you eat? Press Display 5 q 6 "...
  • Page 70 Mixed numbers A baby weighed 4 -- - pounds at birth. In the next 6 months, she gained 2 pounds. How much does she -- - weigh? Press Display 4 %N 3 $ 8 " T 2 %N 3 $ 4 <...
  • Page 71 Converting fractions and decimals 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 $ 4 " < Juan swims faster than Mary since he swims 20 laps in 5.72 minutes.
  • Page 72 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 73: 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. lets you set the number of decimal $ $ < to return to places. Press $ $ and then " to the •...
  • Page 74 Decimal Round 12.345 to the hundredths place, to the tenths place, and then to floating notation. Press Display 12 8 345 < p $ $ " ""< -< p $$" "< -< p $$ < -< TI-30XS MultiView: A Guide For Teachers ©...
  • Page 75: Constant

    Constant Keys Notes 1. % l turns the constant feature on and • The examples on the transparency masters off, and lets you define a constant number, assume all default settings. operation, or expression for a shortcut when • All operations, functions, and values work in repeating a set of keystrokes.
  • Page 76 Constant Three people babysit for $5.25 each per hour. The first person works 16 hours. The second person works 12 hours. The third person works 17 hours. How much did each person earn? Press Display V 5.25 < 16 < 12 <...
  • Page 77 Constant (Continued) (Constant mode is off.) © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 78 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 79: Memory And Stored Variables

    Memory and stored variables 3. % { clears all variables. Keys 1. L lets you store values to variables. Press 4. % h displays a menu of the variables x, Lto store a variable, and press z to y, z, t, a, b, and c, and lets you view their select the variable to store.
  • Page 80 Store, variables Following are your scores for tests and homework in your math class. Test scores: 96, 76, 85. Homework scores: 92, 83, 97, 86. 1. Find your test grade as the average of your test scores. 2. Find your homework grade as the average of your homework scores.
  • Page 81 Store, variables (Continued) W 3 < < 92 T 83 T 97 T 86 < W 4 < T z < W 2 < Your final grade is 88 rounded to the nearest whole number. © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 82 Store, recall You are going to ship a gift to each of two friends. You see the gifts at two web sites for the same price. The shipping charges are different at each site. The packages weigh 4.5 pounds and 3.2 pounds. Store A will ship a package for €2 plus €1.40 per pound.
  • Page 83 Store, recall (Continued) 3 8 2 L z < ##### #<< ##### #<< Store A charges €6.48 and store B charges €6.52. Store A charges less to ship the gift that weighs 3.2 pounds. © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 84 Store, recall (Continued) Shop Purchases Qty Cost €13.98 ea. shirts €7.98 ea. ties €6.98 belt €9.98 suspenders 1 How much did you spend at each shop, and how much did you spend altogether? Press Display 2 V 13 8 98 < Lz<...
  • Page 85 Store, recall (Continued) 6 8 98 T 9 8 98 < zz< 1 T% h 2 T % h 3 < You spent: €27.96 at shop A, €23.94 at shop B, €16.96 at shop C. You spent €68.86 at all three shops. ©...
  • Page 86 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 87: Data Editor And List Formulas

    Data editor and list formulas Keys Notes 1. v displays a data editor with three lists. • The examples on the transparency masters Each list can contain up to 42 items. To assume all default settings. enter data, navigate to a list and enter a •...
  • Page 88 Entering data and formulas On a November day, a weather report on the Internet listed the following temperatures. Paris, France 8ÄC Moscow, Russia 1ÄC ½ Montreal, Canada 4ÄC Convert these temperatures from degrees Celsius to degrees Fahrenheit. Reminder: F= C+32. -- - Press Display...
  • Page 89 Entering data and formulas (Continued) < Notice L2 is highlighted, since it is the result of a formula. The degrees Fahrenheit are: Paris, France 46.4ÄF Moscow, Russia 30.2ÄF Montreal, Canada 39.2ÄF If Sydney, Australia is 21ÄC, find the temperature in degrees Fahrenheit. ! $ $ $ 21 <...
  • Page 90 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 91: Statistics

    Statistics Keys StatVars menu: 1. v lets you enter data points ( for 1-Var Number of x (or x,y) data stats; for 2-Var stats). (See Chapter points. 10, Data editor and list formulas, for more Mean of all x or y values. details on v.) Sx or Sy Sample standard deviation of x...
  • Page 92 Entering 1-Var stat data %t v Five students took a math test. Using their scores, enter the data points—85, 85, 97, 53, 77. Press Display 85 $ 97 $ 53 $ 77 $ " 2 $1 $1 $1 $ Continued TI-30XS MultiView: A Guide For Teachers ©...
  • Page 93 Viewing the statistics %t v Find the number of data points (n), the mean ( ), the sample standard deviation (Sx), the population standard deviation ( x), the sum of the scores ( x), the sum of the squares ( ), and the five-number summary of the data, minX, Q1, Q2, and maxX.
  • Page 94 Removing data points Drop the lowest test score by editing the data in L1 in the data editor. Make sure you update the frequency list, L2, if needed. Find the new mean ). Finally, clear the data from all of the lists.
  • Page 95 Entering 2-Var stat data %t v The table below shows the number of pairs of athletic shoes sold by a small shoe store. The table shows the total number of pairs of shoes sold for two months and the total number of pairs of Brand A shoes sold during the same months.
  • Page 96 Viewing the statistics Assuming that the rate of shoe sales is a constant, you can use two data points to predict the June sales of Brand A if we know the total June sales. Use a line of best fit to find the June sales of Brand A if the store sells a total of 32 pairs in June.
  • Page 97: Probability

    Probability Keys Notes 1. H displays the following menu of functions. • The examples on the transparency masters assume all default settings. Calculates the number of • A combination is an arrangement of objects possible permutations. in which the order is not important, as in a hand of cards.
  • Page 98 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 AB and BA count as only 1 combination...
  • Page 99 Permutation (nPr) Four different people are running in a race. Use this formula to find how many different ways they can place 1st and 2nd. 4 nPr 2 AB and BA count as 2 permutations Press Display <2 < There are 12 different permutations for the 1st and 2nd place results of the race.
  • Page 100 Factorial (!) State license plates contain different numbers and letters to create a unique identification number for each car. Make your own license plates each containing a 4-digit number. Using the digits 1, 3, 7, and 9 without repetition, how many 4-digit numbers can you form? You can use a tree diagram to create the following list of license plates.
  • Page 101 Random (rand) Generate a sequence of random numbers. Press Display " < < < Results will vary. © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS NCORPORATED...
  • Page 102 Setting a random (rand) seed Set 1 as the current seed and generate a sequence of random numbers. Press Display 1 L H " < < H"< < < Note: Your results will be the same as this example if you use the same number to store to random seed.
  • Page 103 Random integer (randint) Create your own calculator spinner. Your spinner will pick numbers from 2 through 10. Hint: Generate a random integer from 2 through 10. Press Display H "$ < 2 %` 10 E <<< Results will vary. © 2006 T TI-30XS MultiView: A Guide For Teachers EXAS NSTRUMENTS...
  • Page 104 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 105: Function Table

    Function table Keys • The examples on the transparency masters assume all default settings. 1. o allows you to display a defined function in a tabular form. To set up a function table: • Enter the function (expression) at the y= prompt.
  • Page 106 Using auto Find the vertex of the parabola (36 - ) using a table of values. Reminder: The vertex of the parabola is a point on the line of symmetry of the parabola. Notice that (0, 0) and (36, 0) are -intercepts and the parabola is open (concave) down.
  • Page 107 Using auto (Continued) -15 $ 1 <$ $ On your own: Start at 17 and change the step size to 0.25. What happens around = 18? Can you locate the vertex? Why? After searching close to = 18, the point (18, 324) appears to be the vertex of the parabola since it appears to be the turning point of the set of points of this function.
  • Page 108 Using ask-x A charity collected $3,600 to help support a local food kitchen. $450 will be given to the food kitchen every month until the funds run out. How many months will the charity support the kitchen? Reminder: If = months and = money left, then = 3600 - 450 Press...
  • Page 109: 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 then • 3.
  • Page 110 Squares Use this formula to find the size of the tarpaulin needed to cover the entire baseball infield. A = x = 27.4 square meters Press Display 27 8 4 F < 27 8 4 G 2 < The area of the tarpaulin is 750.76 square meters.
  • Page 111 Square roots Use this formula to find the length of the side of a square clubhouse if 3m of carpet would cover the floor. Round your answer to 0 decimal places. meters of carpet Press Display %b3 < p $ $ "...
  • Page 112 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 cubic meters Press Display 2 8 3 G 3 < The volume of the cube is 12.167 cubic meters.
  • Page 113 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 G 15 <...
  • Page 114 Roots If the volume of a cube is 125 cm what is the length of each side? Press Display 3 %c 125 < The length of each side is 5 cm. TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 115 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 5 1/3 hrs. How much of each model was completed per hour? Press Display Sailing ship:...
  • Page 116 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 117: Logarithms And Exponential Functions

    Logarithms and exponential functions Keys Notes 1. A calculates the common logarithm • The examples on the transparency masters (base 10). assume all default settings. 2. % ] calculates 10 raised to the power of E ends a logarithmic function. •...
  • Page 118 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 < p $ $ " " " " "...
  • Page 119 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 % ] 3 8 9824 < p $ $ " " " " "...
  • Page 120 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 121 Keys Notes 1. g displays the value of pi rounded to 10 • The examples on the transparency masters digits (3.141592654). assume all default settings. • In MathPrint™ mode, include a decimal number inside the expression with pi to receive a decimal output. For example, if you À...
  • Page 122 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 = 2Àr = 2 x À x 1.5m Press Display 2 V g V 1 8 5 <...
  • Page 123 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 = À À À À r = À À À À x 4 square meters Press Display...
  • Page 124 Area (Continued) <- < The area that will be covered by the sprinkler is approximately 50 square meters. TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 125: Angle Settings And Conversions

    Angle settings and conversions Keys If you specify an angle unit modifier from the Angle menu, the calculation is performed in 1. %I displays a choice of two submenus that angle type, but the result will be given in that enable you to specify the angle unit the angle mode setting.
  • Page 126 Degrees, minutes, and seconds to decimal Find the measure of the third angle of a triangle if one angle measures Ä Å and the other angle Ä Å measures 36 . Express the angle measure in degrees, minutes, and seconds. Press Display 45 % I...
  • Page 127 Decimal to degrees, minutes, and seconds You are visiting Beijing, China. Your GPS gives your location (latitude and Ä Ä longitude) as 39.55 N 116.20 Change your location information to degrees, minutes and seconds. Press Display 39.55 % I < % I # <<...
  • Page 128 Degrees, radians, and gradians Calculate the following: cos(180 degrees) cos(À radians) cos(200 grad) Remember: 180 degrees = À radians = 200 grad. Press Display ?180 % I1 E < ? g % I4 E < ? 200 % I 5 E <...
  • Page 129: Polar And Rectangular Conversions

    Polar and rectangular conversions Keys Notes 1. %I displays the choice of two • The example on the transparency master submenus that let you convert rectangular assumes all default settings. coordinates (x,y) to polar coordinates (r, ) or • Before starting calculations, set the angle vice versa.
  • Page 130 Polar to rectangular Convert the polar ordered pair (7, 30Ä) to rectangular coordinates. Press Display %I " < 7 %` 30 E < %I " $ $ $ < 7 %` 30 E < The rectangular ordered pair is ) = (6.062177826, 3.5.) TI-30XS MultiView: A Guide For Teachers ©...
  • Page 131: Trigonometry

    Trigonometry Keys Notes 1. > calculates the sine of an angle. • The examples on the transparency masters assume all default settings. 2. % Z calculates the inverse sine. • Before starting a trigonometric calculation, 3. ? calculates the cosine of an angle. be sure to select the appropriate angle mode 4.
  • Page 132 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. --------------- - Press Display 78 q @27 %I< E< p$ $ "<...
  • Page 133 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 ------------ - 2500 Press Display %\ 600 q 2500 " E < p$ $ "...
  • Page 134 Cosine Use this formula to find the distance, D, from the base of the ladder to the house. Round your answer to the nearest whole number, and then return to floating decimal mode. D = 5 x COS(74) meters Press Display 5 V ? 74 E <...
  • Page 135 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. x = COS --------- - Press Display %[ 453 q 500 " E <...
  • Page 136 Sine > Use this formula to find the length of the ramp, D. Round your answer to the nearest whole number, and then return to floating decimal mode. ------------------- - meters 12° Press Display 1 8 5 q > 12 E < p$ $ "<...
  • Page 137 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. ----- - x = SIN meters Press Display %Z 13 q 20 " E < p$ $ "...
  • Page 138 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 139: Hyperbolics

    Hyperbolics Keys Notes 1. % Y accesses the hyperbolic function • The example on the transparency masters assumes all default settings. (sinh, cosh, tanh; and sinh , cosh • Hyperbolic calculations are not affected by tanh )of the next trig key that you press. the angle mode setting-whether or not the calculator is in RAD (radian), GRAD (gradian), or DEG (degree) modes.
  • Page 140 Sinh, cosh, and tanh Find the sinh(2) and the sinh (2). Repeat for cosh and tanh. What do you notice? Press Display %Y> 2 E< E< %Y? 2 E < E< %Y@ 2 E< E< TI-30XS MultiView: A Guide For Teachers ©...
  • Page 141: Appendix A Quick Reference To Keys

    Quick reference to keys UNCTION ! " ! " move the cursor left and right so you can scroll an entry on the Home screen. Press % ! or % " to scroll to the beginning or end of a current entry.
  • Page 142 Quick reference to keys (Continued) UNCTION Displays the following menus. DMS lets you specify the unit of an angle. ¶ P lets you convert rectangular coordinates to polar coordinates, or vice versa. R ¶P 1: Ä 1: R ´Pr( 2: Å 2: R ´PÁ( 3: Æ...
  • Page 143 Quick reference to keys (Continued) UNCTION Calculates the inverse cosine. Calculates the tangent of an angle. Calculates the inverse tangent. Lets you enter the statistical data points for 1-Var stats and 2-Var stats. Press v once to display the data editor screen. Press again to display the Clear and Formula menus.
  • Page 144 Quick reference to keys (Continued) UNCTION Displays the following menu from which you can select 1-Var, 2-Var, or StatVars. 1-Var Analyzes data from 1 set of data with 1 measured variable–x. 2-Var Analyzes paired data from 2 sets of data with 2 measured variables–x, the independent variable, and y, the dependent variable.
  • Page 145 Quick reference to keys (Continued) UNCTION Displays the RESET menu. RESET 1: No 2: Yes Press 1 (No) to return to the previous screen without resetting the calculator. Press 2 (Yes) to reset the calculator. The message MEMORY CLEARED is displayed. You can press &...
  • Page 146 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 147: Display Indicators

    Display indicators NDICATOR EANING 2nd function. Hyperbolic function. Fixed-decimal setting. (See the Mode section in Chapter 1, TI-30XS MultiView™ basic operations, and Chapter 7, Decimals and decimal places.) SCI, ENG Scientific or engineering notation. (See the Mode section in Chapter 1, TI-30XS MultiView basic operations.) DEG, RAD, GRAD Angle mode (degrees, radians, or gradians).
  • Page 148 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 149: Error Messages

    Error messages When the TI-30XS MultiView™ calculator detects an error, it returns an error message with the type of error. To correct the error, note the error type and determine the cause of the error. If you cannot recognize the error, use the following list, which describes error messages in detail. Press - to clear the error message.
  • Page 150 Error messages (Continued) ESSAGE EANING SYNTAX The command contains a syntax error—entering more than 23 pending operations, 8 pending values, or having misplaced functions, arguments, conversions, variables, parentheses, or commas. If using q, try using W. INVALID FUNCTION You entered an invalid function in the function table. LOW BATTERY Replace the battery.
  • Page 151 Texas Instruments support and service For general information Home Page: education.ti.com KnowledgeBase and education.ti.com/support e-mail inquiries: Phone: (800) TI-CARES / (800) 842-2737 For U.S., Canada, Mexico, Puerto Rico, and Virgin Islands only education.ti.com/international International Information: For technical support KnowledgeBase and education.ti.com/support...
  • Page 152 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...
  • Page 153: Appendix E Battery Information

    Battery information Battery • Do not leave batteries within the reach of children. precautions • Do not mix new and used batteries. Do not mix brands (or types within brands) of batteries. • Do not mix rechargeable and non-rechargeable batteries. •...
  • Page 154 TI-30XS MultiView: A Guide For Teachers © 2006 T EXAS NSTRUMENTS NCORPORATED...

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