Name ___________________________ Date ___________________________
1. Round the following numbers to 3 decimal places. _________________ _________________ _________________
2. Using the TI-34 , round the following numbers to 4 decimal places. a. 4.39865 b. 72.965912 c. 0.29516 d. 0.00395 _________________ _________________ _________________ _________________

Problem

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

Procedure

1. Find the batting averages (number of hits number of times at bat) rounded to 3 decimal places for each player. Player
(rounded to 3 decimal places)
2. Make a list of your players in order, from highest to lowest.
Player 1 Player 2 Player 3 Player 4 Player 5 ____________________ ____________________ ____________________ ____________________ ____________________ Player 6 Player 7 Player 8 Player 9 ____________________ ____________________ ____________________ ____________________
Star VoyageScientific Notation
Students investigate scientific notation by changing numbers into scientific notation, and then using them in calculations.
Math Concepts scientific notation addition division Materials TI-34 pencil student activity (page 8)
Set up the activity by telling your students: The standard form for scientific notation is a Q 10 n, 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. b. c. d. 000 0.00000000000234 0.0000000157 9.3 Q 107 3.84 Q 1011 2.34 Q 10-12 1.57 Q 10-8
1. Enter the first number.

0000000000

2. Have students change the following numbers into scientific notation using the TI-34. a. b. c. d. 000 0.0000000000034 0.00000000004 1.2 Q 9.74 Q 1011 3.4 Q 10-Q 10-11 1013
2. Press < to display the number in scientific notation.

1. 2x10 13

3. Have students change the following numbers into floating decimal (standard notation). a. b. c. d. 5.8 Q 7.32 Q 105 6.2 Q 10-Q 10-0.0000062 0.00000003
1. Enter 5.8 and press C.
2. Enter 7 and press <.

5.87 58000000.

Note: To enter a negative number, press M and then enter the number.
Present the following problem to students: You are a captain of a starship. You have been assigned to go to Alpha Centauri and you have 5 years to get there. The distance from the sun to Alpha Centauri is 2.5 x miles. The distance from the earth to the sun is approximately 9.3 x miles. Your ship can travel at the speed of light. You know that light can travel a distance of 6 x miles in 1 light year. Will you be able to get to Alpha Centauri on time?

1. Using the TI-34 , find the total distance you need to travel. 2.5 Q 1013 + 9.3 Q 107 = 2.5000093 Q 1013 miles 2. Next, find out how long it will take you to travel the distance. (distance traveled P 1 light year) 2.5000093 Q 1013 P 6 Q 1012 = 4.166682167 years 3. Can you make the trip in the given time? Yes
1. Press 2.5 C 13 T 9.3 C 7 <.

2.5139.3 2.

2. Press W 6 C 12 <.

Ans612 4.166682167

Extension
Now that you have been successful, you have been asked to make another trip. The distance from the Sun to Delta Centauri is 9 x miles. How long will it take you to get there from Earth?
Hint: The Earth is approximately 9.3 x miles from the Sun.

15 years

Star Voyage Scientific Notation

Standard Notation

1. Write the following numbers in scientific notation.
a. 000 b. c. 0.00000000000234 d. 0.0000000157
_________________ _________________ _________________ _________________
2. Using the TI-34 , change the following numbers into scientific notation.
Standard Notation Scientific Notation
a. 000 b. c. 0.0000000000034 d. 0.0000000004
3. Using the TI-34 , change the following numbers into floating decimal notation (Standard).
Scientific Notation Standard Notation
a. 5.8 Q b. 7.32 Q 105 c. 6.2 Q 10-6 d. 3 Q 10-8
You are a captain of a starship. You have been assigned to go to Alpha Centauri and you have 5 years to get there. The distance from the Sun to Alpha Centauri is 2.5 x miles. The distance from the Earth to the Sun is approximately 9.3 x miles. Your ship can travel at the speed of light. You know that light can travel a distance of 6 x miles in 1 light year. Will you be able to get to Alpha Centauri on time?
1. Using the TI-34 , find the total distance that you need to travel.
2. Next, find out how long it will take you to travel the distance. (Distance traveled P 1 light year)
3. Can you make the trip in the given time?
Hint: The Earth is approximately 9.3 Q miles from the Sun.

Trig Functions

Students practice solving sine, cosine, and tangent ratios, and solve problems involving trigonometric ratios.
Math Concepts multiplication division trigonometric ratios Materials TI-34 pencil student activity (page 12)
Introduce the trigonometric ratios to students. sin = opposite leg hypotenuse cos = adjacent leg hypotenuse tan = opposite leg adjacent leg 1. Have students find the trigonometric ratios for the triangle using the above definitions. Round to the nearest hundredth if necessary. (Use % for rounding.) a. b. c. d. e. f. sin C cos C tan C sin A cos A tan A = 0.5 = 0.4 = 0.5 = 0.5 = 0.3 = 1.33

To set 2 decimal places: 1. Press %.
2. Press 2 to select 2 decimal places and press <.
2. Have students find the value of each ratio using the TI-34. Round to the nearest 10 thousandth. a. sin 71 b. tan 31 c. cos 25 0.9455 0.6009 0.9063
To find sin 65, 1. Press % 4. 2. Press % B <.
3. Have students find the measure of each angle using the TI-34. Round to the nearest degree. a. sin B = 0.4567 b. cos A = 0.6758 c. tan C = 5.degrees 47 degrees 80 degrees
3. Enter 65, and press E <.

sin(65) 0.9063

To find A when sin A= 0.2756: 1. Press % 0. 2. Press % B " <.

sin -1(

3. Enter 0.2756, and press E <.

sin -1(0.2756 16

Present the following problem to students: You need to build a ramp to your front door. The distance from the ground to the bottom of the door is 1.5 feet. You dont want the angle of incline to be more than 6 degrees. The distance from the street to the door is 20 feet. Is there enough room to build the ramp?
1. Make a drawing of the problem.
1.5 ft. A 20 ft. 2. Use the trigonometric ratio tan = opposite leg adjacent leg to find angle A. Angle A is 4.3 degrees (rounded to the nearest tenth). Yes, there is enough room to build the ramp.
1. Press % 1. 2. Press % B " " " " " <.

tan-1(

3. Enter 1.5 W 20 and press E <.

tan-1(1.520) 4.3

Present the following problem to students: You want to start the ramp 15 feet away from the door. Can you do that and still have the angle of incline be less than 6 degrees? Yes, angle A is 5.7.
1. Enter 1.and press <.
2. Press % B ! < % i E <.

tan-1(Ans) 5.7

1. Find the trigonometric ratios for the triangle. Round to the nearest hundredth. (Use % for rounding.) a. sin C b. cos C c. tan C d. sin A e. cos A f. tan A _________________ _________________ _________________ _________________ _________________ _________________
2. Using the TI-34 , find the value of each ratio. Round to the nearest ten thousandth. a. sin 71 b. tan 31 c. cos 25 _________________ _________________ _________________
3. Using the TI-34 , find the measure of each angle. Round to the nearest degree. a. sin B = 0.4567 b. cos A =0.6758 c. tan C = 5.83 _________________ _________________ _________________
You need to build a ramp to your front door. The distance from the ground to the bottom of the door is 1.5 feet. You dont want the angle of incline to be more than 6 degrees. The distance from the street to the door is 20 feet. Is there enough room to build the ramp?
2. Use the trig ratio tan = opposite leg adjacent leg to find angle A. (Round your answer to the nearest tenth.)

5. Repeat steps 3 and 4.

Press u. n should equal the total number of students sampled.

n Sx x 22

2. Press " to to see the average heart rate.

n Sx x 62.27272727

3. Press " " " to x.

x x 2 1370

7. Now have the students do jumping jacks for 2 minutes. Instruct them to time their pulse for 1 minute again and record as before. Have them enter the data into the calculator again and calculate the average heart rate after jumping jacks. Compare to the other two averages. 8 How fit is the class? If the class (or individual) heart rate after jumping jacks is less than 90, then you are in great shape. If it is higher than 125, then you are in poor shape. Instruct students to make a histogram of the 3 sets of data they collected. Ask students: How are the histograms the same? How are they different? Is the data grouped the same or is it more spread out in one graph compared to another?
1999 TEXAS INSTRUMENTS INCORPORATED TI-34 : A Guide for Teachers
Heart Rates 1-Variable Statistics
1. Use the following table to record your class or group data (resting). Heartbeats per minute (resting) Frequency
2. What is the class (group) average?
3. What is the total number of heartbeats for the minute?
4. Use the following table to record your class or group data (running). Heartbeats per minute (running) Frequency
5. What is the class (group) average?
6. What is the total number of heartbeats for the minute?
7. Use the following table to record your class or group data (jumping). Heartbeats per minute (jumping) Frequency
8. What is the class (group) average?
9. What is the total number of heartbeats for the minute?
10. How fit is the class?
Note:If the class (or individual) heart rate after jumping jacks is less than 90, then you are in great shape. If it is higher than 125, then you are in poor shape.

Resting

11. Now make a histogram for each of the 3 sets of data you collected. Running Jumping
How are the histograms the same? How are they different?

12. Is the data grouped the same or is it more spread out in one graph compared to another?
WNBA Stats2-Variable Statistics
Students use WNBA Statistics to explore the relationship between 2 variables. They use the TI-34 to compute the regression equation and evaluate some values.
Math Concepts 2-variable statistics Materials TI-34 pencil student activity (page 26)
Present the following problem to students: Do you think WNBA (Womens National Basketball Association) playing time (in minutes per game) is related to how many points a player scores? Do you think it is related to how many rebounds they get? Or is it related to their field-goal percentage?
1. Put the calculator in STAT mode.
1. Press % t and press " to select 2 -VAR.

1-VAR 2-VAR

2. Press <.
2. Enter the data for points per game and playing time in minutes. Enter the points as the X-variable and playing time as the Y-variable.

1. Press v.

2. Enter 10.1 (Rhonda Mapps points).

X1=10.1

3. Press $.
4. Enter 21.7 (Rhonda Mapps playing time).

Y1=21.7

5. Press $ to enter the data for the second player. 6. Continue to enter data for each player in the chart. Press $ after entering each number.
WNBA Stats2-Variable Statistics (Continued)
3. Calculate the statistical data. You may want to fix the decimal to 2 places before doing the statistical calculations.

1. Press %.

2. Press " to 2.

3. Press <.

Ask students:

1. Press u.

n Sx x
What is the average points scored for the players shown? What is the average playing time? What is the total number of points scored per game for all the given players?

2. Press " to.

n Sx x 9.33
3. Press " " " to.

n Sx x 21.59

You may want to discuss the other statistical variables and what they mean.
4. Press " " " to x.

Sy y x 112.00

4. The form of the equation is y = ax + b. Write the equation for the line of best fit (round to the nearest hundredth). 1.56x + 7.02 5. The closer the correlation coefficient value is to 1 (or 1), the better the correlation between the two variables. Write the correlation coefficient.
5. Press " until you get to a. This is the slope of the line of best fit.

xy a b r 1.56

6. Press " to b. This is the y-intercept of the line.

XY a b r 7.02

7. Press " to r. This is the correlation coefficient.

XY a b r 0.91

r =.91
6. Now calculate how many minutes you would expect a player to play if she averages 15 points per game.
1. Press "" to y. 2. Press <. 3. Type 15 E and press <.

y(15) 30.44

7. Now calculate how many points you would expect a player to score if she plays 35 minutes a game. 8. Discuss the correlation as a class. Ask students:

n Sx x 12.00

2. Press ! ! to x.
Are there other factors affecting the players minutes per game besides points scored? What about defense, rebounding, etc.?
3. Press <. 4. Type 35 E and press <.

x(35) 17.92

Now have students use the calculator to investigate the correlation of the other data in the chart such as the relation of field-goal percentage to minutes per game, or rebounds per game to minutes per game. (Remember, since you have already entered the minutes in Y, you only need to enter the new data in X.) Ask students: Which two variables have the closest correlations? (That is, which have the correlation coefficient closest to 1 or 1?)
WNBA Stats 2-Variable Statistics
Do you think WNBA playing time (in minutes per game) is related to how many points a player scores? Do you think it is related to how many rebounds they get? Or is it related to their field goal percentage?
Use the following table of data to explore the relationships of different pairs of data. Begin by entering the points per game as the X variable and the minutes per game as the Y variable.
Rhonda Mapp Vicky Bullet Janeth Arcain Cynthia Cooper Elena Baranova Malgozata Dydek Heidi Burge Keri Chaconas Rebecca Lobo Coquese Washington Toni Foster Maria Stepanova

Field-Goal Percentage

.506.441.426.446.420.482.509.297.484.294.467.426

Points per Game

10.1 13.3 6.8 22.7 12.9 12.9 6.7 4.8 11.7 1.9 4.9 3.3

Rebounds per Game

4.3 6.5 3.6 3.7 9.3 7.6 3.3.8 6.9.9 1.9 1.9

Minutes per Game

21.7 31.6 21.33.16.7 13.2 29.2 8.1 13.6 6.5
Use the calculator to investigate the correlation of the other data in the chart such as the relation of field-goal percentage to minutes per game, or rebounds per game to minutes per game. (Remember, since you have already entered the minutes in Y, you only need to enter the new data in X.) 1. What is the average field-goal percentage?
2. Write the equation for the line of best fit.
3. Write the correlation coefficient.
4. What is the average number of rebounds per game?
5. Write the equation for the line of best fit.
6. What is the total number of rebounds per game for all the given players?
7. Write the equation for the line of best fit.
8. Write the correlation coefficient.
9. Which 2 variables have the closest correlation? (That is, which have the correlation coefficient closest to 1 or L1?)
My Favorite RecipeFractions

Press # and $ to move the cursor up and down through previous entries. Press % # or % $ to scroll to the beginning or end of the history. 7. % displays the RESET menu: Reset: N Y Press < when N (no) is underlined to return to the previous screen without resetting the calculator. Press < when Y (yes) is underlined to reset the calculator. The message MEM CLEARED is displayed.
Pressing & and - simultaneously also resets the calculator immediately. No menu or message is displayed.
The examples on the transparency masters assume all default settings. Resetting the calculator: Returns settings to their defaults: floating decimal (standard) notation and degree mode. Clears memory variables, pending operations, entries in history, statistical data, constants and (Last Answer) Ans.
The entry line can contain up to 88 characters. When or appear in the display, the entry line contains additional characters to the left or right. When or appear, additional characters are above and below the entry line. Press & after Automatic Power Down (APD). The display, pending operations, settings, and memory will be retained.
TIN34 : A Guide for Teachers
Arrows, Equals, On, Second, Off
Enter 46 - 23. Change 46 to 41. Change 23 to 26 and complete the operation. Enter 81 + 57 and complete the operation. Scroll to see your previous entries.

Press Display

46 - - 26 81+57

!$ < & %

46 U 23 !!!!1 "" 6 < 81 T 57 < % & ##$

15. 138.

Reset the calculator.

% " < -

RESET: RESET:

N - Y N Y

MEM CLEARED ~
Pressing & and - at the same time also resets the calculator immediately. No menu or message is displayed. Using % or & and returns all settings to their defaults and clears the memory.
Use Last Answer (Ans) to calculate (2+2)2.

2 T 2 < % F <

4. 16.

Editing the Display

These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. - clears characters and error messages. Once the display is clear, it moves the cursor to the most recent entry. 2. % f inserts a character at the cursor. 3. J deletes the character at the cursor or at the immediate left of the cursor. Hold J down to delete all characters to the right.

The examples on the transparency masters assume all default settings. Pressing - does not affect the memory, statistical registers, angle units, or numeric notation.

Delete, Insert

Enter 4569 + 285, and then change it to 459 + 2865. Complete the problem.
4569 T 285 !!!!!! J """" % 6 <
4569+285 459+285 459+2865 459+2865
Enter 21595. Clear the 95. Clear the entry.
21595 !! (Clear to right of cursor) (Clear entry)

Basic Math

These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. T adds. 2. U subtracts. 3. V multiplies. 4. W divides. 5. < completes the operation or executes a command. 6. M lets you enter a negative number. 7. % _ designates an entry as a percent. 8. % N converts an entry to a percent. 9. Q converts an entry to a decimal.
The examples on the transparency masters assume all default settings. The TI-34 allows implied multiplication. Example: 3 (4+3) = 21 Do not confuse M with U. Use U for subtraction. Results of percent calculations display according to the decimal notation mode setting.
Add, Subtract, Multiply, Divide, Equals
Find: 2 + 54 - 6 = 16 x 21 = 78 P 2 = 12 x (5 + 6) =

Display

2+54-782 12(5+6)

TUVW <

2 T 54 U 6 < 16 V 21 < 78 W 2 < 12 D 5 T 6 E <

50. 336.

39. 132.
(The last example illustrates implied multiplication)

Negative Numbers

The temperature in Utah was -3 C at 6:00 a.m. By 10:00 a.m. the temperature had risen 12 C. What was the temperature at 10:00 a.m.?

- 3+12

M 3 T 12 <

Percent

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

15 % V 80 <

These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 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 completes calculations. Operations inside parentheses are performed first. Use D E to change the order of operations and, therefore, change the result. Example: 1 + 2 x 3 = 7 (1 + 2) x 3 = 9

Lets you view the stored value before pasting it to the display.
The examples on the transparency masters assume all default settings. You can store a real number or an expression that results in a real number to a memory variable. When you select a variable using z, the variable (A, B, C, D, or E) is displayed on the entry line. When you select a variable using % h, the value of the stored variable is displayed on the entry line. Resetting the calculator clears all memory variables. For more about rand, see Chapter 11, Probability.
2. z displays the following menu of variables:
Lets you view the stored value before pasting it in variable form to the display.

Store, Memory Variable

Test scores: 96, 76, 83. Weekly scores: 92, 83, 97, and 86. Find the average of test and weekly scores. Find the final average.

96+76+83

Ans3 Ans A
96 T 76 T 83 < W 3 < L < 92 T 83 T 97 T 86 < W 4 < T z < < W 2 <

255. 85. 85.

92+83+97+86

Ans4 Ans+A Ans2

89.5 174.5 87.25

Store, Recall

Which would be the better buy: 3 cassette tapes for $7.98, or 4 cassette tapes for $9.48?
98 W 3 < L < 48 W 4 < L"<

7.983 Ans A 9.484 Ans B

2.66 2.66 2.37 2.37
View the first price again.

A B C D E

View the second price again.

"

Store 3 Purchase Qty shirts 2 ties 3 belt 1 suspenders 1 Cost $13.98 ea. $ 7.98 ea. $ 6.98 $ 9.98
How much did you spend at each store, and how much did you spend altogether?
2 V98 < L < 3 V 98 <
213.98 A B C D E Ans A 37.98

27.96 23.94

L" < 98 T 98 < L " " < % < T % " < T % "" < <
Ans B 6.98+9.98 Ans C 27.96+

23.94 16.96

.96+23.94+

27.96+23.94

Fraction Entry Keys
These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. @ separates a whole number from the fraction in a mixed number. 2. > separates a numerator from the denominator. 3. % ~ displays a menu of 4 settings that let you specify how fraction results are displayed. Abc displays mixed number results. dedisplays fraction results. Manualdisplays unsimplified fractions. Autodisplays results that are simplified to lowest terms.

Simplification Keys

4. } simplifies a fraction using the lowest common prime factor. If you want to choose the factor (instead of letting calculator choose it), press }, enter the factor (an integer), and then press <. 5. %? displays Fac on the entry line and the divisor used to simplify the last fraction result. (You must be in Manual mode.) Press % ? to toggle back to the simplified fraction.

Conversion Keys

3m2 of carpet

% 3 E < % 0

1.732050808 2.

Use this formula to find the volume of a cube with sides 2.3 meters long. Change your answer to a fraction. V = L3 = 2.33

3 G 3 < R <

12.167

12167/1000

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?

2^10 2^15

2 G10 < 2 G15 <

1024. 32768.

If the volume of a cube is 125 cm3, what is the length of each side?

3 X 125

3 % 125 <

Reciprocals

The chart below shows the amount of time spent building model ships. Ships Sailing Steam Luxury Time Spent Building 10 hrs. 5 hrs. hrs.
How much of each model was completed per hour?

10 -1F

Sailing ship:

10 % R <

Steam ship:

1 / 10

5 % R < } <

Luxury liner:

5 -1F AnsSimp

5 @1 >3 % <

51/3 -1

3 / 16

Probability
These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. H displays the following menu of functions: nPr nCr ! RAND Calculates the number of possible permutations. Calculates the number of possible combinations. Calculates the factorial. Generates a random 10-digit real number between 0 and 1. Generates a random integer between 2 numbers that you specify.
The examples on the transparency masters assume all default settings. A combination is an arrangement of objects in which the order is not important, as in a hand of cards. A permutation is an arrangement of objects in which the order is important, as in a race. A factorial is the product of all the positive integers from 1 to n, where n is a positive whole number 69. To control a sequence of random numbers, you can store (L) an integer to RAND just as you would store values to memory variables. The seed value changes randomly every time a random number is generated. For RANDI, use a comma to separate the two numbers that you specify.

Combination (nCr)

You have space for 2 books on your bookshelf. You have 4 books to put on the shelf. Use this formula to find how many ways you could place the 4 books in the 2 spaces. 4 nCr 2 = x A B C D AB AC AB and BA BA BC count as only 1 CA CB combination. DA DB

nPr nCr !

AD BD CD DC

4 H " 2 <

4 nCr 2

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 = x
A AB and BA count as 2 permutations.
C D AB AC BA BC CA CB DA DB

4 H 2 <

nPr nCr ! 4 nPr 2

Factorial (!)

Using the digits 1, 3, 7, and 9 only one time each, how many 4-digit numbers can you form? 1 A
ABCD BACD CABD DABC ABDC BADC CADB DACB

4! = x B C

ACBD BCAD CBAD DBAC
ADBC BDCA CDAB DCAB ADCB BDAC CDBA DCBA

ACDB BCDA CBDA DBCA

4 H " " < <

nPr nCr ! 4!

Random (RAND)
Generate a sequence of random numbers.

------

H " " " < < <

Results will vary.

RAND RAND RAND

RANDI

0.839588694 0.482688185
Set 1 as the current seed and generate a sequence of random numbers.
1 L ! < H""" << <

----rand --

1 rand RAND RAND

1083958869. 1.

0.000018633 0.745579721

Random Integer (RANDI)

Generate a random integer between 2 and 10.

H ! < 2 % 10 E <

-------
ANDI( 2, 10) ~ RANDI( 2,10)

Statistics

These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. %t displays a menu from which you can select 1-VAR, 2-VAR or CLRDATA. Analyzes data from 1 set of data with 1 measured variable: x. Analyzes paired data with 2-VAR 2 measured variables: x, the independent variable, and y, the dependent variable. Clears data values CLRDATA without exiting STAT mode. 2. v lets you enter data points (x for 1-VAR stats; x and y for 2-VAR stats).
3. %w displays the following menu that lets you clear data values and exit STAT mode.

EXIT ST: Y N

Use this formula to find the length of the ramp. Round your answer to the nearest whole number, and then return to floating decimal mode. D = 1.5/SIN 12
5 W % 12 E < % " < % 8

1.5sin(12)

7.214601517

1.5sin(12) 1.5sin (12)

Inverse Sine
Use this formula to find the angle of the conveyor belt. Round your answer to the nearest tenth, and then return to floating decimal mode. SIN x = 13/20
% " 13 W20E< % "" < % 8

sin -1(1320)

40.54160187
sin -1(1320) sin -1(1320)

Notation

The numbered paragraph provides an explanation for the corresponding numbered key on the illustration below. 1. C lets you enter a value in scientific notation.
The examples on the transparency masters assume all default settings. You can enter a value in scientific notation regardless of the numeric notation mode setting. Press M before entering a negative exponent. Results requiring more than 10 digits are automatically displayed in scientific notation. For the decimal notation mode, refer to % in Chapter 6, Decimals and Decimal Places. These modes affect only the display of results.

Exponent

The Earth is 1.496 x 108 kilometers from the Sun. Jupiter is 7.783 x 108 kilometers from the Sun. Enter the numbers in scientific notation and determine how far away the Earth is from Jupiter.

7.7838-1.4

783 C 8 U 496 C 8 <

628700000.

Logarithms and Antilogarithms
These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. % A displays a menu of all log functions. log calculates the common logarithm (base 10). 10^ calculates the common antilogarithm (10 raised to the power of the value entered). ln calculates the natural logarithm (base e, where e = 2.718281828459). e^ calculates the natural antilogarithm (e raised to the power of the value).
The examples on the transparency masters assume all default settings. E ends a logarithmic function.
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.
% 23 E < % 4 % "" 23 E < % 8

log(23)

F0123456789 log(23) ln(23)

FIX FIX

1.361727836

1.3617 3.1355

ln(23)

3.135494216

Common Antilogarithm, Natural Antilogarithm
Find the antilogarithm of 3.9824 rounded to 4 decimal places. Then find the natural antilogarithm of 3.9824 rounded to 4 decimal places. When finished, return to floating decimal notation.
% " 9824 E< % 4 % ! 9824 E< % 8

10^(3.9824)

9602.846792

F0123456789 10^(3.9824)

e^(3.9824)

9602.8468 53.6456

53.64562936
Angle Settings and Conversions
These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. % I displays a menu that lets you change the angle mode setting to DEG and RAD without affecting the value in the display. DEG Sets Degree mode. Sets Radian mode. RAD The default setting is DEG.
2. = displays a menu that lets you specify the unit of an angle. r Specifies degrees. Specifies radians.
4DMS Specifies degrees (), minutes (), and seconds (). It also lets you convert an angle from decimal degrees to DMS notation.
The examples on the transparency masters assume all default settings. Angles with a trig function ignore the angle mode setting and display results in the original unit. Otherwise, angles (without a trig function) are converted and displayed according to the angle mode setting. You enter decimal-degree angles the same as you would any other number. For decimal/DMS conversions, the calculator interprets all values as degrees, regardless of the angle-unit setting. DMS angles are entered as (degrees), (minutes), and (seconds).
Degrees, Minutes, and Seconds to Decimal
You watched 2 videos that were 2:05 (2 hours and 5 minutes) and 1:46 (1 hour and 46 minutes) in length. How long did you watch videos?
2 = < 5 = " < T 1 =< 46 = " << = ! <<

r 2 r

+5 + DMS

AnsDMS

Fraction to Degrees, Minutes, and Seconds
How much is 2/3 of an hour in hours, minutes, and seconds?

2 > 3 = ! <<

DMS ----2/3DMS

Degrees, Radians

Calculate the sine of 30 in degrees and radians and then return to degrees.
% 30 E< % " < < % ! < <
sin(30) DEG RAD --sin(30)

DEG RAD --sin(30)

-0.988O31624 RAD
Polar and Rectangular Conversions
These numbered paragraphs provide explanations for the corresponding numbered keys on the illustration below. 1. %k displays the following menu that lets you convert rectangular coordinates (X,Y) to polar coordinates (r,) or vice versa. R4Pr Converts rectangular coordinate to polar coordinate r.

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.

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<

Trigonometry

%B %B displays a menu of all trigonometric functions (sin, cos, tan, sin-1, cos-1, tan-1). Select the trigonometric function from the menu and then enter the value. Set the desired Angle mode before starting trigonometric calculations.

Example Degree mode

Tan q<$$< - %B 3 45E<
%B 6 1E< 5 V %B E <

Example Radian mode

Tan q"<%B 3 g P 4 " E < %B 6 1E< r
5 V %B 2 g P 4 "E<
Find angle A of the right triangle below. Then calculate angle B and the length of the hypotenuse c. Lengths are in meters. Round results to one decimal place. Reminder: tan A = -- therefore mA = tan-1 -- mA + mB + 90 = 180 therefore mB = 90 - mA c= 3 +7

3 C 7 c

q< $ $ " " < %B 6 7P3"E< 90 U %i <

b3FT7F<

To one decimal place, the measure of angle A is 66.8, the measure of angle B is 23.2, and the length of the hypotenuse is 7.6 meters.
Logarithms and exponential functions
%A %A displays two submenus containing the functions log, 10^, ln, and e^. Select the submenu, the desired log function, then enter the value and close the expression with E <. log yields the common logarithm of a number. 10^ raises 10 to the power you specify. ln yields the logarithm of a number ot the base of e (e 2.718281828459). e^ raises e to the power you specify.

LOG %A 1 1E< %A 2 %A 1 2E< %A 1 %A 2 5"E<
%A " 1 5EV2< %A " 2 85<

Stored operations (op)

m o %n %p The TI-34 MultiView calculator stores two operations, op1 and op2. To store an operation to op1 or op2 and recall it: 1. Press %n or %p. You may have to press - if a previous operation is displayed. 2. Enter the operation (any combination of numbers, operations, or menu items and their arguments). 3. Press < to save the operation to memory. 4. m or orecalls and displays the operation on the entry line. The TI-34 MultiView calculator automatically calculates the result (without pressing <).
Set op1 %n V 2 T 3 < 4m

Set op2

%p V 10 <
Harry's father will pay him $15 per week if he helps out a few hours at his family's grocery store. Harry would like to save all he earns to buy several of his favorite books and video games. He estimates that he will need to earn $240 to buy everything he would like to have. Create a table of Harry's weekly earnings to see how his savings will grow. How many weeks will Harry need to work to save enough money for his purchases? %n
(Press - if necessary to clear a previous operation.)

T 15 < 0 mmmm

The table of values of Harry's weekly earnings is shown on the screens. From this table, we can read that Harry will have to work 16 weeks to earn $240.
Memory and stored variables
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.
RAND contains the following options: rand Generates a random real number between 0 and 1. To control a sequence of random numbers, store an integer (seed value) | 0 to rand. The seed value changes randomly every time a random number is generated. Generates a random integer between 2 integers, A and B, where A { randint { B. Separate the 2 integers with a comma. 8

randint(

<3<

52 H 2 5< 4H 3<

STO 4 rand 5 L H "

H"1<

H"%` 5 E <

Problem

An ice cream store advertises that it makes 25 flavors of home made ice cream. You like to order three different flavors in a dish. How many combinations of ice cream can you test out over a very hot summer? 25
You can choose from 2300 dishes with different combinations of flavors! If a long hot summer is about 90 days long, you will need to eat about 25 ice cream dishes each day!

Errors

When the TI-34 MultiView calculator detects an error, it returns an error message with the type of error. To correct the error, note the error type and 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. The previous screen is displayed with the cursor at or near the error location. Correct the expression.
ARGUMENT A function does not have the correct number of arguments. DIVIDE BY 0 You attempted to divide by 0. DOMAIN You specified an argument to a function outside the valid range. For example: For xy: x = 0 or (y < 0 and x is not an odd integer). For x: x < 0. For LOG or LN: x { 0. For tan: x = 90, -90, 270, -270, 450, etc., and equivalent for radian mode. For sin-1 or cos-1: |x| > 1. For nCr or nPr: n or r are not integers | 0. For }: Entering a simplify value of 0; using a simplify value of 1E10; attempting to simplify non-fractions. EQUATION LENGTH An entry exceeds the digit limits (88 for entry line and 47 for stat entries or constant entries); for example, combining an entry with a constant that exceeds the limit. FRQ DOMAIN FRQ value (in 1-var statistics) < 0. OVERFLOW You attempted to enter, or you have calculated, a number that is beyond the range of the calculator. STAT Attempting to calculate 1-var or 2-var stats with no defined data points, or attempting to calculate 2-var stats when the data lists are not of equal length. CONVERSION The conversion does not contain a list name (L1, L2, or L3) followed by a conversion (for example, f d). You attempted to enter a function (for example, L1 + 3). SYNTAX The command contains a syntax error, or has misplaced functions, arguments, parentheses, or commas. If using P, try using W.

OP NOT DEFINED Operation (op1 or op2) is not defined. MEMORY LIMIT The calculation contains too many pending operations (more than 23). If using op1 or op2, you attempted to enter more than four levels of nested functions using fractions, square roots, exponents with ^, x, and x2 (MathPrint mode only). LOW BATTERY Replace the battery. Note: This message displays briefly and then disappears. Pressing - does not clear this message.

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.