How to use the TI-34 MultiView calculator
TI-34 MultiView basic operations Clearing and correcting Basic math Order of operations and parentheses Numeric notation Fractions Math menu Decimals and decimal places Integer divide Stored operations 79 81

A-1 B-1 C-1 D-1 E-1

About the teacher guide
How the teacher guide is organized
This guide consists of two sections: Activities and How to use the TI-34 MultiView calculator. The Activities section is a collection of activities for integrating the TI-34 MultiView into mathematics instruction. The How to use the TI-34 MultiView calculator section is designed to help you teach students how to use the calculator. Each section uses the default settings, including the MathPrint mode, unless indicated otherwise. Activities Each activity is self-contained and includes the following: An overview of the mathematical purpose of the activity. The mathematical concepts being developed. The materials needed to perform the activity. The detailed procedure, including step-bystep TI-34 MultiView key presses. A student activity sheet. location of those keys on the TI-34 MultiView, and any pertinent notes about their functions. Transparency masters following the introductory page provide examples of practical applications of the key(s) being discussed. The key(s) being discussed are shown in black on the TI-34 MultiView keyboard. The mode settings are also shown for examples with mode setting changes.
Reset the TI-34 MultiView
You can ensure that everyone starts at the same point by having students reset the calculator: Press % and then select 2 (Yes).
Conventions used in the teacher guide
In the text, brackets [ ] around a key's symbol/name indicate that the key is a second, or alternate, function. For example: %c In the text, n is assumed to be an integer and x a real number, unless otherwise specified.
How to use the TI-34 MultiView This section contains examples on transparency masters. Chapters are numbered and include the following. An introductory page describing the calculator keys presented in the example, the
How to order additional teacher guides
To place an order or to request information about Texas Instruments (TI) calculators, use our e-mail address: ti-cares@ti.com, visit our home page: education.ti.com, or call our toll-free number: 1-800-TI-CARES (1-800-842-2737)
About the TI-34 MultiView calculator

Home screen

On the Home screen, you can enter mathematical expressions and functions, along with other instructions. The answers are displayed on the Home screen. The TI-34 MultiView screen can display a maximum of four lines with a maximum of 16 characters per line. For entries and expressions of more than 16 characters, you can scroll left and right (! and ") to view the entire entry or expression. When you press %s, the TI-34 MultiView calculator returns you to a blank Home screen. Press # and $ to view and reuse previous entries. In the MathPrint mode, you can enter up to four levels of consecutive nested functions and expressions, which include fractions, square roots, exponents with ^, x and x2. If you attempt to enter more than four levels, the TI-34 MultiView calculator temporarily displays the full cursor ( ), and does not allow any extra entries. When you calculate an entry on the Home screen, depending upon space, the answer is displayed either directly to the right of the entry or on the right side of the next line.

Previous entries # $

After an expression is evaluated, use # and $ to scroll through previous entries, which are stored in the TI-34 MultiView history. You can reuse a previous entry by pressing < to paste it on the bottom line, and then editing and evaluating a new expression. Clears memory variables, pending operations, entries in history, statistical data, stored operations (op1 and op2), and ans (last answer).

Answer toggle r

The toggle key displays the last calculated result into different output formats, where possible. Press r to toggle between fraction and decimal answers, and exact pi and decimal.
Note: The examples on the transparency masters assume all default settings.
Automatic Power Down (APD)
If the TI-34 MultiView remains inactive for about 5 minutes, the APD feature turns it off automatically. Press & to restore power. The display, pending operations, settings, and memory are retained.

Last answer (ans)

The most recently calculated result is stored to the variable ans. ans is retained in memory, even after the TI-34 MultiView is turned off. To recall the value of ans: Press %i (ans displays on the screen), or

Error messages

Refer to Appendix C for a listing of the error messages.
Star voyage scientific notation

Overview

Students investigate scientific notation by changing numbers into scientific notation, and then using them in calculations. Math Concepts Materials
scientific notation TI-34 MultiView addition pencil division student activity

Introduction

Set up the activity by telling your students:
The standard form for scientific notation is a 10n,where a is greater than or equal to 1 and less than 10, and n is an integer.
1. Have students practice writing the following numbers in scientific notation using pencil and paper. a. 000 b. c. 0.00000000000234 d. 0.0000000157

9.7 3.11 2.-12 1.-8

Follow these steps: 1. Enter the first number, 12000000. 2. Press q. 3. Press $ " < - < to display the number in scientific notation.

1.2x107

2. Have students change the following numbers into scientific notation (SCI) using the TI-34 MultiView scientific calculator. a. 000 b. 000 c. 0.0000034 d. 0.000000004

1.7 9.8 3.-10 -9

Note: Answers assume the default floating decimal setting. 3. Have students change the following numbers into standard (NORM) notation. a. 5.b. 7.c. 6.2 d. 3 10-8

the number.

mean, minimum, maximum, and range

Materials

TI-34 MultiView stopwatch or a watch with a second hand student activity
Students may be placed in smaller groups for this activity to minimize the amount of data to be entered. Ask students:
What do you think the average heart rate is for someone your age? What about after exercising?
Have students complete the following investigation to check their estimations. 1. Have students check their resting heart rate by timing their pulse for 1 minute. (You could have them time for 10 seconds and then multiply by 6, but this could be the quietest minute of your day!) 2. Collect data on the chart. Enter each students heart rate and a mark in the frequency column. As other students have the same heart rate, add another tally mark in the frequency column. 3. Enter the heart rate data into the TI-34 MultiView scientific calculator. a. Enter the first heart rate on the chart in L1, and the number of tallies for that heart rate in L2. You will use L2 as the frequency. b. You must press $ between entries. For example, enter the first heart rate, and then press $. c. For example, assume a class of 22 students:
Follow these steps: 1. Press v to enter the heart rates and frequencies. Enter the heart rates in L1 and the frequencies in L2. Press $ between entries, and " to get from L1 to L2. 2. Continue entering until you have entered all the heart rates and frequencies. 3. Press %t. 4. Press 1 to choose 1-Var stats. 5. Choose L1 for the data, and L2 for the frequency. 6. Press < to view the 1-Var stats.

Students

Heart rates 1-variable statistics (Cont.)
4. Check the statistics calculations. After students display x (Sigma x), explain that x is the sum of all the heart rates. Ask students:
Follow these steps: 1. View the statistical data. n should equal the total number of students sampled. For this example, n = 22. 2. Press $ to to see the average heart rate. = 62.27272727 3. Press $ until you see x.

x = 1370

How many heartbeats were entered from all of the student in one minute? This is x. How many students were entered? This is n. How can we calculate the average heart rate? This is.

x ----- = 62.27272727 n

Is the average heart rate higher or lower than you expected?
5. Now we will see the effect of some exercise on heart rate. To accommodate various student's needs, pair students with other students who will be able to complete the task. Also consider designing some task that an individual student can safely undertake to raise their heart rate.Tell students:
Note: The numbers show the results for the example described in this activity. Your students results will vary depending on the size of the group and the heart rate readings.
If at any point during this portion of the activity you experience pain, weakness, or shortness of breath, stop immediately.

Resting Running

11. Make a bar graph for each of the 3 sets of data you collected.

Jumping

12. How are the bar graphs the same? How are they different? _________________ _______________________________________________________________________ _______________________________________________________________________ 13. Is the data grouped the same or is it more spread out in one graph compared to another? _______________________________________________________________ _______________________________________________________________________ _______________________________________________________________________
My favorite recipe fractions
Students add the volume of ingredients in a cookie recipe to determine the size bowl they need before starting the recipe. Math Concepts
adding fractions simplifying fractions
TI-34 MultiView pencils student activity
Set up the activity by showing the students how to enter mixed numbers into the calculator, add and simplify them. 1. Have students practice adding mixed numbers. a. + 3 --b. 9 -- + 6 -8 5

c. 5 -- + 3 -27

Hint: Before you begin, make sure that the TI-34 MultiView calculator is in MathPrint, Un/d, and Mansimp modes.

8 --------------------21

To simplify a fraction or a mixed number, enter the number. There are two options for simplying a fraction. 1. Press }, enter a factor that is common to both the numerator and denominator, then press <. This allows students to use mental math to simplify the fraction. Students repeat this process until the fraction is simplified. (No down arrow is displayed.) 2. Press } <. The simplified fraction and the factor used for the simplifcation are displayed. Students may need to press } < more than once to get the fraction to its lowest terms. Students can write down all factors used in the simplification to find the greatest common factor of the numerator and denominator.

d. 8 -- + 7 -3 7

2. Have students practice simplifying fractions and mixed numbers. a. b. c.

9 -----4

4 -6 4

d. 8 -----24

My favorite recipe fractions (Continued)
You are about to make your favorite cookie recipe. You check the bowls in the kitchen and the only one you can find is a 5-quart bowl. Will you be able to make the cookies in that bowl? Here is the recipe:
cups brown sugar -1 cups white sugar --cups butter 3 -4
2 teaspoons baking powder 2 teaspoons baking soda 1 teaspoon vanilla
-- cups flour 3 -cups oatmeal 8

cups shortening

5 eggs 1 teaspoon salt
What is the total volume of the recipe ingredients in cups? In quarts?
1. Before starting on the problem, have the students look at the recipe to find ingredients where the measurement is not given in cups, and prepare them to convert these measurements into cups.

In this activity you will explore the decimal forms for familiar fractions. Fill in the tables below and see if you can write a rule to predict the type of decimal number that is the same as your fraction.
1. Fill in the following tables. Using mental math or pencil and paper, change each fraction to its decimal representation. TABLE A TABLE B TABLE C

Fraction

1 -- = ----2 10

Decimal

1 -- = --------2 -- = --------3 -- = --------4 100
1 -- = ----2 -- = ----3 -- = ----4 -- = ----5 10
2. Use v on the TI-34 MultiView calculator to fill in the following tables. Change each fraction to its decimal representation. Your teacher will give you details on how to use the calculator to fill in the table. Remember to try to beat the calculator with your own calculations. You can check your work with the calculator!. 1 -------8 TABLE D TABLE E
1 --------------------------------25
3. From the pattern you observed in table E, fill in the decimal representations for the following fractions. 9 ----- = ----- = ----- = ----- = 25
4. With your group, look at the fractions and decimals in tables A - E. Write the prime factorization of each denominator, 2, 4, 5, 8 and 25, and then look at the decimal representations. Write a paragraph about any patterns you see. Are the fractions in tables A - E represented by a terminating decimal? How do you know?

Prime Factorization

2 = ___________ 4 = ___________ 5 = ___________ 9 = ___________ 25 = __________

TABLE F

5. Mathematicians are like detectives. They investigate numbers! Observe the fractions in tables F and G, and find their decimal representation using v on the TI-34 MultiView calculator. TABLE G

1 -----6

6. What do you notice about the fractions in tables F and G? How does the decimal representation compare to tables A through E?
7. Create similar tables to find the decimal representation of the fractions with the denominators 9 and 11. Write your tables and results here. What do you notice?
8. A decimal number is called a repeating decimal if it consists of a number or set of numbers that keep repeating in a regular pattern. Did you see a repeating decimal in your work? If so, write an example of a repeating decimal. Ask your teacher for the correct notation.
9. A decimal number is called a terminating decimal if the decimal representation becomes all zeros after a certain number of digits. Did you see a terminating decimal is your work above? If so, write an example of a terminating decimal. Ask your teacher for the correct notation.

10. Can you tell when a fraction will have a terminating decimal representation? Can you tell when a fraction will have a repeating decimal representation? Investigate to find out! Fill in the following table for the clue to this puzzle! These are the denominators of the fractions in this activity. Write a rule about when a fraction will be a terminating decimal or a repeating decimal.

Denominator

Prime factorization
Did the fractions terminate?
TI-34 MultiView basic operations Clearing and correcting Basic math Order of operations and parentheses Numeric notation Fractions Math menu Decimals and decimal places Integer divide Stored operations Memory and stored variables Data editor and list conversions Statistics Probability Logarithms and exponential functions Pi Powers, roots, and reciprocals Angle settings and conversions Polar and rectangular conversions Trigonometry 141 143
TI-34 MultiView basic operations
1. & turns on the calculator. 2. % turns on the 2ND indicator and accesses the function shown above the next key you press. 3. %' turns off the calculator and clears the display. 4. < completes the operation or executes the command. 5. %i recalls the most recently calculated result and displays it as ans. 6. r toggles the answer between fraction and decimal, and exact pi and decimal.
7. ! and " move the cursor left and right to scroll entries on the Home screen and to navigate in menus. % ! or % " scrolls to the beginning or end of a current entry. # and $ move the cursor up and down through menu items, previous entries on the Home screen, and entries in the Data editor. % # moves the cursor to the top entry of the active column in Data editor, or to the previous entry on the Home screen. Press % # again to move the cursor to the oldest entry on the Home screen. In fractions, press % # < to paste a previous entry to the denominator. (See Chapter 6, Fractions, for more information.) % $ moves the cursor to the first blank row of the active column in Data editor, or below the last entry on the Home screen. 8. q lets you set the angle, numeric, decimal, display, and fraction modes. Press $ # ! " to choose a mode, and < to select it. Press - or %s to exit the mode menu. The default mode settings are shown:

Percent

Mike makes $80 per week. He saves 15% of his earnings. How much does Mike save per week? Press Display

15 _V 80 <

Mike saves $12 per week. 3 Crystal saved -- of her last paycheck. 8 What per cent of her paycheck did she save? Press Display

3P8" %N <

Crystal saved 37.5% of her last paycheck.
Order of operations and parentheses
1. D opens a parenthetical expression. 2. E closes a parenthetical expression.
The examples on the transparency masters assume all default settings. The transparency master showing the Equation Operating System (EOS) demonstrates the order in which the TI-34 MultiView calculator completes calculations. Operations inside parentheses are performed first. Use D E to change the order of operations and, therefore, change the result. Example: 1 + = 7 (1 + 2) 3 = 9
Equation operating system (EOS)
1 (first) Expressions inside D E 2 Functions that need a E and precede the expression, such as in, %B, %A, and some menu items. 3 Fractions 4 Functions entered after the expression, such as F and angle unit modifiers (, , , r) 5 Exponentiation (G) and roots (%c) Note: In Classic mode, exponentiation using the G key is evaluated from left to right. The expression 2^3^2 is evaluated as (2^3)^2, with a result of 64. In MathPrint mode, exponentiation using the G key is evaluated from right to left. Pressing 2 G 3 G 2 is displayed as 2 , with the result of 512. The TI-34 MultiView scientific calculator evaluates expressions entered with F from left to right in both Classic and MathPrint modes. Pressing 3 F F calculates as (32)2 = 81. Negation (M)
Equation operating system (Continued)
11 (last) Permutations (nPr) and combinations (nCr) Multiplication, implied multiplication, and division Addition and subtraction Conversions (%O, %j, %N, } and DMS) < completes all operations and closes all open parentheses

1+23= Press Display

1T2V3 <
1 + (2 x 3) = Press Display

1TD2V3 E<

(1 + 2) 3 = Press Display

D1T2E V3<

Order of operations (Continued)
( 1 ) ( 3 ) = (Classic mode)

Display

q$$$ <b5 FU 4D1ED3 EE<
( 1 ) ( 3 ) = (MathPrint mode)
q$$$ "<b5 FU 4D1ED3 E<

Numeric notation

1. q lets you choose from the following numeric notation menu. NORM Restores standard mode (floating decimal). SCI Turns on scientific mode and displays results as a number from 1 to 10 (1 { n < 10) times 10 to an integer power. 2. C is a shortcut key to enter a number in scientific notation format.

25 % j< }< }<

Converting fractions and decimals (Continued)

25 %j < }< }<

Math menu
1. d displays two submenus, MATH and NUM, with various math functions. Some functions require you to enter two values, real numbers, or expressions that equal a real number. MATH menu: lcm(n1, n2) Returns the least common multiple (lcm) of two values, n1 and n2. gcd(n1, n2) Returns the greatest common divisor (gcd) of two values, n1 and n2. x3 Calculates the cube of x.
NUM menu: abs(x) Displays absolute value of x. round(x , digits) Rounds x to specified number of digits. ipart(x) Returns only the integer of x. fpart(x) Returns only the fractional part of x. min(x1, x2) Returns the minimum of two values, x1 and x2. max(x1, x2) Returns the maximum of two values, x1 and x2. remainder(n1, n2): Returns the remainder resulting from the division of two values, a whole number (n1) divided by a positive whole number (n2).
(x) Calculates the cube root of x.
The example on the transparency master assumes all default settings. To use the functions, select the math function from the menu, and then enter the value. %` must separate two values. Use E to close all functions.

Absolute value

Find the absolute value of 35 and then validate the answer using the calculator.

|35| =

Press Display
d" 1 M 35 " <
Evaluate the expression 6 + |4 - 9| x 3 and then validate the answer using the calculator. Press Display
6Td"1 4U9"V3 <

Rounding a number

Round to the nearest thousandths place. Press Display

d" 2 g %` 3 E<

Integer and fractional part
Display the integer and fractional part of 7 --. Then, change 7 -- to a decimal number and display the integer and fractional part of the number. Press Display
d"3 7@5$8 "E< d"4 7@5$8 "E< 7@5$8 " %j < d"E < d"E <

Minimum and maximum

Using max, put the following list of numbers in ascending order: 14 , -- , 3. ---- 7 -- 5 Press Display
d"6 7P9"% ` 14 P 17 " E< d"6 7P9"% `3P5" E<
3, -- , 14 . The list in ascending order: -- 7 ---- - - 17

Continued

Minimum and maximum (Continued)
Using min, check if this statement is true or false: 7 5.75 < 5 -8 Press Display
d"%` 5@7$5 "E<
7 5.75 < 5 -- is true. 8

Least common multiple

- Add -- + -- using lcm to find the least common denominator. Verify your answer. Press Display

d%` 6 E <

-- = --3 ------ + 10 = 13 ----- = 10 ---6 12
Verify: 1P4"T 5P6< %O <

Greatest common divisor

Find the greatest common divisor (gcd) for the numbers 27 and 36. 27 Then use gcd to simplify ------ to its 36 lowest terms. Press Display
q$$$ $$"< -d%` 36 E< P 27 W 9 $ 36 W 9 " <

Cube and cube root

Calculate 34 and Press

39304.

34 d 3 < d4# <"<

Notice that

34 is 34.

Remainder

The night of the school dance, The Snowball Ball, 179 students will attend. There are round tables that seat 8 students each. There are just enough tables for all of the students. Will all of the tables be filled? How many tables are set up? Press Display
d"%` 8 E< Not all of the tables will be filled. One table will have only 3 students. 179 %Y 8<
There are 23 tables set up. There are 22 full tables, and one table with 3 students.
Decimals and decimal places
1. 8 enters a decimal point. 2. q lets you set the number of decimal places. Press $ $ and then " to the choice of decimal desired. Press < to select it. FLOAT Sets floating decimal (standard) notation. 0-9 Sets the number of decimal places displayed. FIX displays when a decimal mode is set from 0-9.
The examples on the transparency masters assume all default settings. Press q $ $ < to return to standard notation (floating decimal). The TI-34 MultiView calculator automatically rounds the result to the number of decimal places selected. For example, when the decimal is set to 2 places, 0.147 becomes 0.15 when you press <. The TI-34 MultiView calculator also rounds or pads resulting values with trailing zeros to fit the selected setting. For example, when the decimal is set to 5 places, 0.147 becomes 0.14700 when you press <. Resetting the calculator clears the decimal setting and resets to the default, FLOAT. The decimal setting does not affect the internal precision of results. It affects only the way results are displayed.
Round 12.345 to the hundredths place, to the tenths place, and then to floating notation. Press Display

P 96 T 76 T 85 $ 3 " Lz <
Store, variables (Continued)
P 92 T 83 T 97 T 86 $4"L zz < PzT zz$2 "< d"2# < %` 0 E<
Your final grade is 88 rounded to the nearest whole number. Note: next to the resulting fraction indicates the fraction can be simplified using }. This was not necessary for the solution to this problem.

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. Store B will ship the package for $3 plus $1.10 per pound. Which store will charge the least for shipping each gift? Press Display

L z %h

5L z< 2 TzD40 E < 3 TzD10 E <
Store A charges $8.30 and store B charges $7.95. Store B charges less to ship the gift that weighs 4.5 pounds. 92
Store, recall (Continued)
382L 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.
Shop A B C Purchases shirts ties belt suspenders Qty Cost $13.98 ea. $7.98 ea. $6.98 $9.98
How much did you spend at each outlet shop, and how much did you spend altogether? Press Display
2 V 98 Lz < 3 V 98 Lz < 98 T 98 L zzz <
%h <T %h $ <T %h $ $<<
You spent: $27.96 at shop A, $23.94 at shop B, $16.96 at shop C. You spent $68.86 at all three outlet shops.
Data editor and list conversions
1. v displays a Data editor with three lists. Each list can contain up to 42 items. To enter data, navigate to a list and enter a number. Press the arrow keys to navigate list elements.
The examples on the transparency masters assume all default settings. The Converting fractions to decimals transparency supports the activity: Next stop fraction termimal. List conversions accept f d, %, Simp, and n/d Un/d. If a conversion is entered to a list, the conversion list automatically updates if a referenced list element is updated. When a conversion is deleted, the data remains for use. The data is no longer updated. Pressing v from the Data editor screen opens menus with options to clear lists or to enter and manage conversions. Pressing L from a list in the Data editor is a shortcut that takes you straight to the author line to enter or edit a conversion. Pressing v while entering or editing a conversion opens a menu containing list names you can use in the conversions. To edit a conversion, press L or v " 1 from anywhere in the list that contains the conversion. Edit the conversion and press < to accept the changes. Press - to delete the conversion. Pressing - backs up screens within the data editor. Pressing %s exits the Data editor and returns you to the Home screen. In the Data editor, scientific notation displays as E to conserve space but still show the magnitude of a number. Example: 2 x 103 appears as 2E3.

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. Are you sure you found them all? Hint: Find 4!

7931 9731

4H$$ <<
You can make 24 unique license plates using 1, 3, 7 and 9 without repetition. 114
TI-34 MultiView: A Guide For Teachers 2007 TEXAS INSTRUMENTS INCORPORATED

Random (rand)

Generate a sequence of random numbers. Press Display

H" << <

Results will vary.
Set 1 as the current seed and generate a sequence of random numbers. Press Display
1LH "< < H"< < <
Note: Your results will be the same as this example if you use the same number to store to random seed.

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 <
Logarithms and exponential functions
1. %A displays the choice of two submenus, LOG and LN. The LOG menu has the following two choices: log( calculates the common logarithm (base 10). 10^ calculates 10 raised to the power of the value entered as the exponent (common antilogarithm). The LN menu has the following two choices: ln calculates the natural logarithm (base e, where e 2.718281828459). e^ calculates e raised to the power of the value entered as the exponent (natural antilogarithm).
The examples on the transparency masters assume all default settings. E ends a logarithmic function. In MathPrint mode, press " to exit the exponent function.
Common logarithm and antilogarithm
Illustrate the inverse relationship of log and 10^ by finding log(23) and then raise 10 to the result. Notice that 23 returns as the answer. Press Display
%A E < %A 2 #<" < %A 2 %A 1 #<E" <
Natural logarithm and antilogarithm
Illustrate the inverse relationship of ln and e^ (antiln or exp) by finding ln(23) and then raise e to the result. Notice that 23 returns as the answer. Press Display
%A " E < %A " 2 #<" < %A " 2 %A " 1 #<E" <
1. g displays the value of pi rounded to 10 digits (3.141592654).
The examples on the transparency masters 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 enter 2, the TI-34 MultiView calculator displays 2. If you enter 2.0, the calculator displays the decimal version, 6.283185307. In MathPrint mode, you can use r to toggle the answer between decimal and pi formats. In Classic and DEG mode, the TI-34 MultiView calculator displays calculations with as a decimal approximation. Internally, pi is stored to 13 digits (3.141592653590). You can select the number of decimal places from the mode menu.

283G 3< r

The volume of the cube is 12.167 cubic meters.

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 <

Fold the paper in half once and you will see two sections. Fold the paper in half again and you will see four sections. Folding again yields 8 sections, and so on. After 10 folds there will be 1,024 sections. After 15 folds, there will be 32,768 sections!
If the volume of a cube is 125 cm3, what is the length of each side? L = cm

3 %c 125 <

The length of each side is 5 cm.

Reciprocals

The chart below shows the amount of time spent building model ships. Time Spent Building -- hrs. 3 hrs. -5 -- hrs. 3 Portion Completed Per Hour ? ? ?
Ships Sailing Steam Luxury
How much of each model was completed per hour? Press Display
Sailing ship: 10 @ 1 $ 2 " %O < %a <

Reciprocals (Continued)

Steam ship: 5@3$4 " %O < %a < Luxury liner: 5@1$3" %O < %a <
Time Spent Building -- hrs. 3 hrs. -5 -- hrs. 3 Portion Completed Per Hour 2--21 4----23 3---16
Angle settings and conversions
1. %= displays the choice of two submenus that enable you to specify the angle unit modifier as degrees (), minutes ('), seconds ("), or radians (r); or convert units using DMS. You can also convert between rectangular coordinate form (R) and polar coordinate form (P). (See Chapter 19, Polar and rectangular conversions, for more information.) Choose an angle mode from the mode screen. You can choose from DEG (default), or RAD. Entries are interpreted and results displayed according to the angle mode setting without needing to enter an angle unit modifier.
If you specify an angle unit modifier from the Angle menu, the calculation is performed in that angle type, but the result will be given in the angle mode setting.
The examples on the transparency masters assume all default settings. DMS angles are entered as (degrees), ' (minutes), and " (seconds).
Degrees, minutes, and seconds to decimal
Find the measure of the third angle of a triangle if one angle measures 45 30' and the other angle measures 36 15". Express the angle measure in degrees, minutes, and seconds? Press Display
45 %= %= 2 T 36 %= %= 2<
Degrees, minutes, and seconds to decimal (Continued)
180 %= 1 U %i < %= 5<

J < %f %n %p

Displays the following menus. LOG calculates common logarithm (base 10) functions. LN calculates natural logarithm (base e, where e 2.718281828459) functions. LOG 1: log( 2: 10^( LN 1: ln( 2: e^(
Accesses variables. Press this key multiple times to choose x, y, z, t, a, b, or c. You can also use z to recall the stored values for these variables. In the Data editor, z is a shortcut that takes you straight to the author line to enter or edit a conversion.

%' & H

Turns off the calculator and clears the display. Turns on the calculator. Displays the following menus. PRB lets you calculate permutations, combinations, or factorials. RAND lets you generate a random number or random integer, within parameters. PRB 1: nPr 2: nCr 3: ! RAND 1: rand 2: randint(
Recalls the stored values to the display. 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.
Displays the TRIG menu. 1: sin( 2: cos( 3: tan( 4: sin-1( 5: cos-1( 6: tan-1( Calculates the sine of an angle. Calculates the cosine of an angle. Calculates the tangent of an angle. Calculates the inverse sine. Calculates the inverse cosine. Calculates the inverse tangent.
Displays the following menu from which you can select 1-Var, 2-Var, or StatVars. 1-Var Stats 2-Var Stats Analyzes data from 1 set of data with 1 measured variablex. Analyzes paired data from 2 sets of data with 2 measured variablesx, the independent variable, and y, the dependent variable. After choosing 1-Var or 2-Var stats, displays data values.

StatVars

StatVars displays the following menu of stat variables with their current values. n
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.

x or y xy

a b r x ' (2-Var) y ' (2-Var) L
x2 or y2 Sum of all x2 values or y2 values.

TI-34 MultiView Scientific Calculator
Important information..2 Examples...3 Switching the TI-34 MultiView calculator on and off.3 Display contrast...3 Home screen..3 2nd functions..4 Modes...5 Menus...7 Scrolling...10 Answer toggle...11 Last answer..11 Order of operations...12 Clearing and correcting..14 Math operations...14 Integer divide...16 Fractions....17 Percentages..19 x10n key...20 Powers, radicals, and reciprocals..21 Pi....22 Angle menu...23 Trigonometry...25 Logarithms and exponential functions..27 Stored operations (op)...28 Memory and stored variables..30 Data editor and list conversions..32 Statistics....34
Copyright 2007 Texas Instruments Incorporated 1
Probability...39 Errors....41 Battery information..43 In case of difficulty..44 Texas Instruments Support and Service..45

Important information

Texas Instruments makes no warranty, either express or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes such materials available solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for 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 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. MathPrint, APD, Automatic Power Down, EOS, and MultiView are trademarks of Texas Instruments Incorporated.

Examples

Each section is followed by instructions for keystroke examples that demonstrate the TI-34 MultiView functions. Examples assume all default settings, as shown in the Modes section. For more activities and examples, see the TI-34 MultiView Teacher Guide available at education.ti.com/guides.
Switching the TI-34 MultiView calculator on and off
& turns on the TI-34 MultiView calculator. %' turns it off. The display is cleared, but the history, settings, and memory are retained. The APD (Automatic Power Down) feature turns off the TI-34 MultiView calculator automatically if no key is pressed for about 5 minutes. Press & after APD. The display, pending operations, settings, and memory are retained.

Display contrast

The brightness and contrast of the display can depend on room lighting, battery freshness, and viewing angle. To adjust the contrast: 1. Press and release the % key. 2. Press T (to darken the screen) or U (to lighten the screen).

Home screen

On the Home screen, you can enter mathematical expressions and functions, along with other instructions. The answers are displayed on the Home screen. The TI-34 MultiView screen can display a maximum of four lines with a maximum of 16 characters per line. For entries and expressions of more than 16 characters, you can scroll left and right (! and ") to view the entire entry or expression.
In the MathPrint mode, you can enter up to four levels of consecutive nested functions and expressions, which include fractions, square roots, exponents with ^, x, and x2. When you calculate an entry on the Home screen, depending upon space, the answer is displayed either directly to the right of the entry or on the right side of the next line. Special indicators may display on the screen to provide additional information concerning functions or results.

Indicator Definition

2ND FIX SCI 2nd function. Fixed-decimal setting. (See Mode section.) Scientific notation. (See Mode section.)
DEG, RAD Angle mode (degrees or radians). (See Mode section.) L1, L2, L3 Displays above the lists in Data Editor. The TI-34 MultiView calculator is performing an operation. An entry is stored in memory before and/or after the active screen. Press # and $ to scroll. An entry or menu displays beyond 16 digits. Press ! and " to scroll. (See Scrolling on page 10 for more information.)

2nd functions

% Most keys can perform two functions. The primary function is indicated on the key and the secondary function is displayed above it. Press % to activate the secondary function of a given key. Notice that 2nd appears as an indicator on the screen. To cancel it before entering data, press % again. For example, 3 %c 125 < calculates the cube root of 125 and returns the result, 5.

q Use q to choose modes. Press $ # ! " to choose a mode, and < to select it. Press - or %s to return to the Home screen and perform your work using the chosen mode settings. Default settings are shown.
DEG RAD Sets the angle mode to degrees or radians. NORM SCI Sets the numeric notation mode. Numeric notation modes affect only the display of results, and not the accuracy of the values stored in the unit, which remain maximal. 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 1.2345678x105 (which is the same as 123456.78). Note: C is a shortcut key to enter a number in scientific notation format. The result displays in the numeric notation format set in mode. Note: In some restricted environments (for example, data editor and the %h menu), the TI-34 MultiView calculator may display E instead of x10n. FLOAT 0123456789 Sets the decimal notation mode. FLOAT (floating decimal point) displays up to 10 digits, plus the sign and decimal. 0123456789 (fixed decimal point) specifies the number of digits (0 through 9) to display to the right of the decimal. CLASSIC MATHPRINT CLASSIC mode displays inputs and outputs in a single line.
MATHPRINT mode displays most inputs and outputs in textbook format. Choose the MathPrint mode for better visual confirmation that math expressions have been entered correctly and to better reinforce the correct math notation. Note: Switching the mode between Classic and MathPrint clears calculator history and the stored operations (op1 or op2) value. Un/d n/d Determines how fractional results are displayed. Un/d displays results as a mixed number, if applicable. n/d displays results as a simple fraction. MANSIMP AUTOSIMP Determine whether or not a fractional result will be simplified automatically. MANSIMP The user simplifies fractions manually step-bystep. next to the resulting fraction signifies that the fraction is not yet in simplest form. See Fractions, } for details. AUTOSIMP The calculator automatically simplifies fractional results to the lowest terms.
Example of Classic and MathPrint modes Classic mode

MathPrint mode

Float mode and answer toggle key.
Fix 2 and answer toggle key.

n/d U n/d

Mansimp

Autosimp

Exponent example

Cube root example

Certain keys display menus: H, %=, %A, , %B, d, vv, %t, % %h, and %{. Press $and " to scroll and select a menu item, or press the corresponding number next to the menu item. To return to the previous screen without selecting the item, press -. To exit a menu or application and return to the Home screen, press %s. The menu chart shows the menu keys and the menus they display.

H PRB 1: nPr 2: nCr 3: ! RAND 1: rand 2: randint(
%= DMS R P 1: 1: R Pr( 2: 2: R P( 3: 3: P Rx( 4: r 4: P Ry( 5: DMS %B TRIG 1: sin( 2: cos( 3: tan( 4: sin-1( 5: cos-1( 6: tan-1(

LOG 1: log( 2: 10^(

%A LN 1: ln( 2: e^(
MATH 1: lcm( 2: gcd( 3: 3 4: 3(
d NUM 1: abs( 2: round( 3: iPart( 4: fPart( 5: min( 6: max( 7: remainder(
vv (Press once to display the Data editor screen. Press again to display the menu.) CLEAR CNVRSN 1: Clear L1 1: Add/Edit Cnvrs 2: Clear L2 2: Clear L1 Cnvrs 3: Clear L3 3: Clear L2 Cnvrs 4: Clear ALL 4: Clear L3 Cnvrs 5: Clear ALL Press v while you are in the Add/Edit Conversion option of the CNVRSN menu to display this menu: Ls 1: L1 2: L2 3: L3 %t STATS 1: 1-Var Stats 2: 2-Var Stats 3: StatVars This menu option displays after you calculate 1-var or 2-var stats. StatVars menu: 1: n 2: 3: Sx Etc. See StatVar values on page 34 for a full list.

% Reset 1: No 2: Yes

%h Recall Var 1: x = 2: y = 3: z = 4: t = 5: a = 6: b = 7: c =
%{ Clear Var 1: Yes 2: No

Scrolling

!"#$ Press ! or " to scroll entries on the Home screen and to navigate in menus. Press %! or %" to move the cursor directly to the beginning or end of the current expression. # and $ moves the cursor up and down through menu items, entries in Data editor, and previous entries on the Home screen. You can reuse a previous entry by pressing < to paste it on the bottom line, and then evaluating a new expression. %# moves the cursor to the top entry of the active column in Data editor, or to the previous entry on the Home screen. Press %# again to move the cursor to the oldest entry on the Home screen. %$ moves the cursor to the first blank row of the active column in Data editor, or below the last entry on the Home screen.

Scroll 1T1<

2T2<

3T3<

4T4<

####<

T2<

Answer toggle

r Press the r key to toggle the display result between fraction and decimal answers, and exact pi and decimal.

Example

Answer toggle 2g<

Last answer

%i The most recently calculated result is stored to the variable ans. ans is retained in memory, even after the TI-34 MultiView calculator is turned off. To recall the value of ans: Press %i (ans displays on the screen), or Press any operations key ( T, U, and so forth) as the first part of an entry. ans and the operator are both displayed.

ans 3V3<

V3<

3 %c %i <

Order of operations
The TI-34 MultiView calculator uses Equation Operating System (EOS) to evaluate expressions. Within a priority level, EOS evaluates functions from left to right and in the following order. 1st 2nd 3rd 4th Expressions inside parentheses. Functions that need a ) and precede the argument, such as sin, log, and all R P menu items. Fractions. Functions that are entered after the argument, such as x2 and angle unit modifiers.
Exponentiation (^) and roots (x). Note: In Classic mode, exponentiation using G is evaluated from left to right. The expression 2^3^2 is evaluated as (2^3)^2, with a result of 64.
In MathPrint mode, exponentiation using G is evaluated from right to left. The expression 2^3^2 is evaluated as 2^(3^2), with a result of 512.
The TI-34 MultiView calculator evaluates expressions entered with F from left to right in both Classic and MathPrint modes. 6th 7th 8th 9th 10th 11th Negation (M). Permutations (nPr) and combinations (nCr). Multiplication, implied multiplication, division. Addition and subtraction. Conversions (n/d U n/d, fd, DMS). < completes all operations and closes all open parentheses. 60 T 5 V M 12 <

1 T M 8 T 12 <

b 9 T 16 <

4VD2T3E<

4D2T3E<

^ and x

b3 G2 "T4 G2 <

Clearing and correcting

Clears characters and error messages. Clears characters on the entry line, then clears the display when you press again. Scroll up to clear entries in history. Backs up one screen in applications. Deletes the character at the cursor. Inserts a character at the cursor. Clears variables x, y, z, t, a, b and c. Resets the TI-34 MultiView calculator. Returns unit to default settings; clears memory variables, pending operations, all entries in history, functions in applications, and statistical data; clears stored operations (op1 or op2), and ans.

J %f %{ % 2

Math operations
d d displays a menu with two submenus. Some functions require you to enter 2 values, numbers, or expressions that equal or return a number. %` separates two values.
MATH submenu: lcm(n1, n2) gcd(n1, n2) n3
Finds the least common multiple (lcm) or greatest common divisor (gcd) of two values, n1 and n2, which are positive integers. Calculates the cube of n. Calculates the cube root of n. Displays absolute value of n. Rounds n to specified number of digits. Returns only the integer part (iPart) or fractional (decimal) part (fPart) of n. Returns the minimum (min) or maximum (max) of two values, n1 and n2.

NUM submenu: abs(n) round(n,digits) iPart(n) fPart(n) min(n1, n2) max(n1, n2)
remainder(n1, n2) Returns the remainder resulting from the division of 2 values, n1 by n2.
abs d"1M2P3 < d " 2 g %` 3 E< d"E < d"E < 2d3<

iPart, fPart

d4 8< remainder d"%` 6 E <

Problem

Find the least common multiple of 30 and 84 using prime factorization by hand. Verify your work using the calculator. 2V3V5< 2FV3V7< 2FV3V5V7< d%` 84 E < The lcm (30, 84) is 420.

Integer divide

%Y %Y divides 2 positive integers and displays the quotient, q, and the remainder, r. Only the quotient is stored to ans.

Int divide 17 %Y 3 <

How many hours, minutes, and seconds are there in 17589 seconds? 17589 %Y 60 <

%i %Y 60 <

17589 seconds equals 4 hours, 53 minutes, and 9 seconds.

Fractions

P @ %O } %j In the MathPrint mode, fractions with P can include operation keys (T, V, etc.) and most function keys (F, _, etc.). In Classic mode, fractions with P do not allow operation keys, functions, or complex fractions in the numerator or denominator. Note: In Classic mode and Data editor, use W to perform complex division problems. Calculations using fractions can display fraction or decimal results, depending on input. P enters a simple fraction. Pressing P before or after a number can result in different behavior. Entering a number before pressing P makes that number the numerator. To enter fractions with operators, press P before you enter a number (in MathPrint mode only). In MathPrint mode, press $ between the entry of the numerator and the denominator. In Classic mode, press P between the entry of the numerator and the denominator. @ enters a mixed number. Press @ between the entry of the unit and the numerator, and press $ between the entry of the numerator and the denominator. } n < simplifies a fraction by the factor n specified The entry n must be a positive integer. } < automatically simplifies a fraction using the lowest common prime factor. The factor displays. Repeatedly press } < to simplify the fraction to its lowest terms.
%O converts between simplie fraction and mixed number form. %j converts results between fractions and decimals. From q, you can select ManSimp (default) The user simplifies fractions manually step-by-step. next to the resulting fraction signifies that the fraction is not yet in simplest form. AutoSimp The calculator automatically simplifies fractional results to the lowest terms.

Examples of Classic mode

n/d, U n/d 3 P 4 T 1 @ 7 P12 < }2<

}2<

9 P 2 %O <

4 @1 P 2 %j <

Examples of MathPrint mode
n/d, U n/d P3$4"T1@7 $ 12 < }2<
9 P 2 " %O < 4@1$2" %j <
Examples P182T183$4 (MathPrint " < mode only) (MathPrint mode only) PM5Tb5F U4D1ED6E $2D1E"<

Percentages

_ %N To perform a calculation involving a percentage, enter a number and press _to append the % sign. To express a value as a percentage, press %N after the value.

2 _V 150 <

1 P 5 " %N <
A mining company extracts 5000 tons of ore with a concentration of metal of 3%, and 7300 tons with a concentration of 2.3%. On the basis of these two extraction figures, what is the total quantity of metal obtained? If one ton of metal is worth $280, what is the total value of the metal extracted? 3 _V 5000 <

T 3 _V 7300 <

V 280 <
The two extractions represent a total of 317.9 tons of metal for a total value of $89,012.

x10n key

C C is a shortcut key to enter a number in scientific notation format.

2C5<

q$"<
Powers, radicals, and reciprocals
F Calculates the square of a value. The TI-34 MultiView calculator evaluates expressions entered with F from left to right in both Classic and MathPrint modes. Pressing 3 F F calculates as (32)2 = 81. G Raises a value to the power indicated. If you insert an expression as the exponent, you must place it between parentheses. In Classic mode, exponentiation using G is evaluated from left to right. The expression 2^3^2 is evaluated as (2^3)^2, with a result of 64. In MathPrint mode, exponentiation using G is evaluated from right to left. The expression 2^3^2 is evaluated as 2^(3^2), with the result of 512. Calculates the square root of a positive value. Calculates the xth root of any positive value and any odd integer root of a negative value. Calculates the reciprocal of a value.

b %c %a

5FT4GD2T1E<

10 G M 2 <

b 49 <

b3FT2G4 <

6 %c 64 <

D 2 T 6 E %a <

g 3.141592653590 for calculations. 3.141592654 for display.

2Vg<

Note: Classic mode displays calculations with as a decimal approximation.

What is the area of a circle if the radius is 12 cm? Reminder: A = r2. g V 12 G 2 <
The area of the circle is 144 square cm. The area of the circle is approximately 452.4 square cm when rounded to one decimal place.

Angle menu

%= %= displays the choice of two submenus that enable you to specify the angle unit modifier as degrees (), minutes ('), seconds ("), radian (r), or convert units using 4DMS. You can also convert between rectangular coordinate form (R) and polar coordinate form (P). Choose an angle mode from the mode screen. You can choose from DEG (default) or RAD. Entries are interpreted and results displayed according to the angle mode setting without needing to enter an angle unit modifier. If you specify an angle unit modifier from the Angle menu, the calculation is performed in that angle type, but the result will be given in the angle mode setting.

RAD q"<

- %B %= 1 E < DEG q<
- 2 g %= 4 < 5 %= 5 <
Convert polar coordinates (r, q)=(5, 30) into rectangular coordinates. Then convert rectangular coordinates (x, y) = (3, 4) into polar coordinates. Round the results to one decimal place. R P -q$$"" < - %= " %` 30 E < %= " %` 30 E < %= " %` 4 E < %= " %` 4 E < Converting (r, q) = (5, 30) gives (x, y) = (4.3, 2.5) and (x, y) = (3, 4) gives (r, q) = (5.0, 53.1). Problem Two adjacent angles measure 45 and 38 respectively. Add the two angles and display the result in DMS format. Round the results to two decimal places. -q$$"""<

- 12 %=

%= %= 3 T 26 %= %= %= 3 < %= 5 <
The result is 39 degrees, 26 minutes and 23 seconds.
It is known that 30 = / 6 radians. In the default mode, degrees, find the sine of 30. Then set the calculator to radian mode and calculate the sine of / 6 radians. Note: Press - to clear the screen between problems. - %B E < q"<%B 1 g P 6 " E < Retain radian mode on the calculator and calculate the sine of 30. Change the calculator to degree mode and find the sine of / 6 radians. %B %= < E < q<%B 1 g P 6 " %= 4 E<

z L %h %{ The TI-34 MultiView calculator has 7 memory variablesx, y, z, t, a, b, and c. You can store a real number or an expression that results in a real number to a memory variable. L lets you store values to variables. Press L to store a variable, and press z to select the variable to store. Press < to store the value in the selected variable. If this variable already has a value, that value is replaced by the new one. z acesses the variables. Press this key multiple times to choose x, y, z, t, a, b, or c. You can also use z to recall the stored values for these variables. The name of the variable is inserted into the current entry, but the value assigned to the variable is used to evaluate the expression. %h recalls the values of variables. Press %h to display a menu of variables and their stored values. Select the variable you want to recall and press <. The value assigned to the variable is inserted into the current entry and used to evaluate the expression. %{ clears all variable values. Press %{ and select 1: Yes to clear all variable values.

Clear Var %{ 1

15 L z

Recall

<F<

<W4<

In a gravel quarry, two new excavations have been opened. The first one measures 350 meters by 560 meters, the second one measures 340 meters by 610 meters. What volume of gravel does the company need to extract from each excavation to reach a depth of 150 meters? To reach 210 meters? 350 V 560 L z <

340 V 610 L z z <

150 V %h

<<

210 V %h < <

150 V z z <

210 V z z <
For the first excavation: The company needs to extract 29.4 million cubic meters to reach a depth of 150 meters, and to extract 41.16 million cubic meters to reach a depth of 210 meters. For the second excavation: The company needs to extract 31.11 million cubic meters to reach a depth of 150 meters, and to extract 43.554 million cubic meters to reach a depth of 210 meters.
Data editor and list conversions
v v lets you enter data in up to 3 lists. Each list can contain up to 42 items. Press %# to go to the top of a list, and %$ to go to the bottom of a list. List conversions accept f d, %, Simp, and nd Und. Numeric notation, decimal notation, and angle modes affect the display of an element (except fractional elements).

L1 v1 P 4 $ 2 P 4 $ 3P4$4P4<
Conversion " v "

v < %j

Notice L2 is calculated per the conversion you entered, and L2(1)= in the author line is highlighted to indicate the list is the result of a conversion.
3 - Find the decimal representation of -- , -- , and --. From this pattern, can you predict the decimal representation for -- ? 9 Check your answer using the lists on the calculator. vv4 v"5 1P9$2P9$3P9<

"v"1

v 1 %j
Input the rest of the fractions to test your pattern. Notice L2 updates as you enter in L1. The pattern appears to show that the decimal representation is a repetition of the number in the numerator for ninths. - - Entering -- , -- , -- and finally -- validates that statement. Notice the last digit in the list is rounded, so 0.777777 is shown rounded to 0.77778.

Statistics

%t v %t displays a menu with the following options: 1-Var Stats analyzes data from 1 data set with 1 measured variable, x. 2-Var Stats analyzes paired data from 2 data sets with 2 measured variablesx, the independent variable, and y, the dependent variable. StatVars displays a secondary menu of statistical variables. The StatVars menu only appears after you have calculated 1-Var or 2-Var stats. Use $ and # to locate the desired variable, and press < to select it.

Variables Definition

n or Sx or Sy x or y x or y 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 or y values.
x2 or y2 Sum of all x2 or y2 values.
xy a b r x' (2-Var) y' (2-Var)
Sum of (x y) for all xy pairs. Linear regression slope. Linear regression y-intercept. Correlation coefficient. Uses a and b to calculate predicted x value when you input a y value. Uses a and b to calculate predicted y value when you input an x value.
To define statistical data points: 1. Enter data in L1, L2, or L3. (See Data editor.) 2. Press %t. Select 1-Var or 2-Var and press <. 3. Select L1, L2, or L3, and the frequency. 4. Press < to display the menu of variables. 5. To clear data, press vv, select a list to clear, and press <.
1-Var: Find the mean of {45, 55, 55, 55} Clear all data Data vv$$$
< 45 $ 55 $ 55 $ 55 < %t

Stat Var

%s %t 3

V2<

2-Var: Data: (45,30), (55,25); Find: x '(45) Clear all data Data vv$$$

< 45 $ 55 $ " 30 $ 25 $ %t (Your screen may not show 3:StatVars if you did not previously perform a calculation.) 2$$
%s %t 3 # # < 45 E <
For her last four exams, Ada earned the following scores. Test No. Score 4 78
1. Find Adas average grade on the four exams. 2. Ada found an error in the two of her test scores. Test 2 was changed to 88 and Test 4 was changed to 84. Find Ada's new average grade of the four exams. 3. What do you notice about Ada's average grades before the point change and after the point change? Clear all data Data v v4

73 $ 94 $ 85 $ 78 $

1$$< The average grade is 82.5. v $ 88 $$ 84 $
$$< The new average grade is 82.5. Ada's average did not change. It remained 82.5 after the grade corrections.
The reason the average did not change is that Test 2 had a decrease of 6 points while Test 4 had an increase of 6 points. Overall, the total points for all four tests remained the same (330 points).
The table below gives the results of a braking test. Test No. Speed (kph) Distance (m) 5.49 14.65 20.79 38.45
Using the relationship between these data points, estimate the stopping distance required for a vehicle traveling at 55 kph. A hand-drawn scatter plot of these data points suggest a linear relationship. The TI-34 MultiView calculator uses the least squares method to find the line of best fit, y'=ax'+b, for data entered in lists. vv4
33 $ 49 $ 65 $ 79 $ " 3 $ 45 $ 21 $ 45 $ %t

Press $ to view a and b.

This line of best fit, y ' = 0.6773251896x '-18.66637321 models the linear trend of the data. %s %t 3 #

< 55 E <

The linear model gives an estimated braking distance of 18.59 meters for a vehicle traveling at 55 kph.

Probability

H This key displays two menus: PRB and RAND. PRB contains the following options: nPr Calculates the number of possible permutations of n items taken r at a time, given n and r. The order of objects is important, as in a race. n and r must be positive integers. Calculates the number of possible combinations of n items taken r at a time, given n and r. The order of objects is not important, as in a hand of cards. n and r must be positive integers. A factorial is the product of the positive integers from 1 to n. n must be a whole number { 69.

Battery information

Battery precautions
Do not leave batteries within the reach of children. 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. Install batteries according to polarity (+ and -) diagrams. Do not place non-rechargeable batteries in a battery recharger. Properly dispose of used batteries immediately. Do not incinerate or dismantle batteries. Seek medical advice immediately if a cell or battery has been swallowed. In the USA, contact the National Capital Poison Center collect at 1-800-222-1222.

Battery disposal

Do not mutilate, puncture, or dispose of batteries in fire. The batteries can burst or explode, releasing hazardous chemicals. Discard used batteries according to local regulations. Per CA Regulation 22 CCR 67384.4, the following applies to the button cell battery in this unit: Perchlorate Material - Special handling may apply. See www.dtsc.ca.gov/hazardouswaste/perchlorate
How to remove or replace the battery
The TI-34 MultiView calculator uses one 3 volt CR2032 lithium battery. Remove the protective cover and turn the TI-34 MultiView calculator face downwards. With a small screwdriver, remove the screws from the back of the case. From the bottom, carefully separate the front from the back. Be careful not to damage any of the internal parts. With a small screwdriver (if required), remove the battery. To replace the battery, check the polarity (+ and -) and slide in a new battery. Press firmly to snap the new battery into place. Important: When replacing the battery, avoid any contact with the other components of the TI-34 MultiView calculator. Dispose of the dead battery immediately and in accordance with local regulations.

In case of difficulty

Review instructions to be certain calculations were performed properly. Check the battery to ensure that it is fresh and properly installed. Change the battery when: & does not turn the unit on, or The screen goes blank, or You get unexpected results.
Texas Instruments Support and Service
For general information Home Page: KnowledgeBase and e-mail inquiries: Phone: International information: KnowledgeBase and support by e-mail: Phone (not toll-free):

education.ti.com education.ti.com/support
(800) TI-CARES / (800) 842-2737 For U.S., Canada, Mexico, Puerto Rico, and Virgin Islands only education.ti.com/international

For technical support

education.ti.com/support

(972) 917-8324

For product (hardware) service
Customers in the U.S., Canada, Mexico, Puerto Rico and Virgin Islands: Always contact Texas Instruments Customer Support before returning a product for service. All other customers: Refer to the leaflet enclosed with this product (hardware) or contact your local Texas Instruments retailer/distributor.