Casio FX-9860GII - SOFTWARE VERSION 2-00 User manual

ADVANCED QUANTITATIVE REASONING

with the Casio fx-9860GII

Dr. Cathy Seeley

Charles A. Dana Center at the University of Texas - Austin

Unit II: Probability

(1c) How to write fractions in natural display using the Casio fx-9860GII

1. From the main menu, highlight the RUN•MAT icon

and press

l.

2. Press L then p for the Set-up screen; scroll

down to Frac Result. At the bottom of the screen,

there are two choices;

q will display fractions

as "improper", while w will display fractions as

mixed numbers.

3. Select q to display answers as "improper"

fractions. Then, press d to return to the initial

screen.

4. To enter the fraction

8

3

, press 3z8. This

calculator utilizes Natural Display, allowing for input

and output to appear as it would in a textbook.

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(1c) How to change fractions to decimals using the Casio fx-9860GII

1. Enter the fraction

8

3

by pressing 3z8l.

2. To change the fraction to a decimal representation,

press x. This is the "form to decimal" key and

operates as a toggle key.

3. You can return to fraction form by pressing x again.

(1c) How to change fractions (and decimals) to percents

1. For a number in fraction form, such as

8

3

, first

change to a decimal by pressing x.

2. Once the number is in decimal form, multiply by 100

to change to percent form. It may be necessary to

press x to display the number in decimal form

instead of fraction form.

Unit III: Statistical Studies

(1a) Seeding a calculator

It is not necessary to seed the Casio fx-9860GII.

(1e) How to use random sampling - choosing 5 schools from a list of 1000

1. From the main menu, highlight the RUN•MAT icon

and press l. If there is data on the screen, press

w(DEL), w(DEL-A), then q for yes.

2. Press iu(> ), e(PROB), r(RAND) and w

(Int). Then input 1,1000,5

kl

. The screen shot to the right displays the

random sample 494, 219, 869, 587, and 144. Each

sample will be unique.

3. To display the next sample of 5 schools, press l

again.

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(1e) How to fill in the table for Dream car using lists

Grade

Level

No. of

Students

Percentage

of Total

No. of

Students

for Sample

No. of

Students

for Sample

(Rounded)

7th 476

17.539 10.52

8th 511

9th 492

10th 473

11th 425

12th 337

Total 2,714

1. From the main menu, highlight the STAT icon

and press l. If any list contains data, highlight

any entry in the list and then press

u( ), >

r(DEL-A), then q to delete all entries in that

list. Repeat for each list containing data.

2. When all lists are cleared, title each column. Press

B to scroll to the SUB row. Then press La(A-

LOCK) to activate Alpha-lock. Using the red letters at

the top right of each key, type the titles. Press l

after typing each title. Only 6 characters may be used

for each title. The space is above the decimal point.

Repeat these steps for each column.

Title the lists as:

List 1 – GRADE

List 2 - ST NO

List 3 – PER TO

List 4 – SAMP N

List 5 - ROUND

3. Highlight the first entry in List 1. Enter the

grades into List 1 using only the number.

Press l after each entry. Scroll to the right

and up to move to the first entry of the next list.

4. Enter the number of students into List 2. Press l

after each number. Scroll to the right and up to

move to the next list. Do not enter the total.

5. Press

p. Highlight RUN•MAT and press l

to be in the correct menu to perform operations on

lists. In order to fill List 3 with the percentage of

the total, the calculator will divide each number in

List 2 by 2,714 and then multiply by 100. The result

will be stored in List 3. Do this by pressing

iqq

2M2714m100bq3l

.

6. In order to obtain the 60 samples needed, divide

List 3 by 100 and multiply by 60. Store these answers

in List 4. Do this by pressing

q3M100m60bq4l.

7. Press menu then highlight STAT and press l to

return to the lists. Scroll to the right to List 5. Round

the numbers in List 4 and enter the rounded values

into List 5.

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(2b#5) How to construct a histogram using the Casio fx-9860GII

1. From the main menu, highlight the STAT icon

and press l. If any list contains data, highlight

any entry in the list and then press u( ), >

r(DEL-A), then q to delete all entries in that

list. Repeat for each list containing data.

2. When all lists are cleared, enter the data given in

the problem into List 1: 2 students received an

average grade of 65, 7 students had 75, 9 students

had 85, and 3 students had 95. Press

l after

each entry.

3. Press

q(GRPH), u(SET), scroll down one line

to Graph Type, press

u(> ), then q(Hist). XList

should be List1 and Frequency should be 1. Press

d to return to the lists. Then press q(GPH1),

l.

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(2c) How to determine mean, standard deviation and 5-number summary using the Casio

fx-9860GII

The Phoenix Mercury of the Women’s National Basketball League had 14 players on the

roster for the 2008 season. The players and their average points per game (PPG) are shown

below.

Player

Diana

Taurasi

Cappie

Poindexter

Tangela

Smith

Le’coe

Willingham

Kelly

Miller

Kelly

Mazzante

LaToya

Pringle

PPG 24.1 21.2 11.1 10.1 8.3 5.8 4.4

Player

Brooke

Smith

Barbara

Farris

Olympia

Scott

Yuko

Oga

Allie

Quigley

Willnett

Crockett

Jennifer

Derevjanik

PPG 4.1 3.5 2.7 2.4 2.1 1.8 0.8

(Source: www.wnba.com/mercury/stats)

1. From the main menu, highlight the STAT icon

and press l. If any list contains data, highlight

any entry in the list and then press u( ),

>

r(DEL-A), then q to delete all entries in that

list. Repeat for each list containing data.

2. Enter the PPG data into List 1, pressing

l

after each entry.

3. Press w(CALC), then q(1VAR) to display all of

the 1-variable calculations for the data set. Scroll

down to view more calculations.

____________________________________________________________________

(2c#9 on worksheet)

How to construct a box plot with and without outliers

1. From the main menu, highlight the STAT icon

and press

l. If any list contains data, highlight

any entry in the list and then press

u( ), >

r(DEL-A), then q to delete all entries in that

list. Repeat for each list containing data.

2. Enter the PPG data into List 1, pressing l

after each entry.

3. Press q(GRPH), then u(SET). Scroll down one

line to Graph Type and press u(

>

), then w(Box).

Scroll down to Outliers and press w(Off) to

construct the box plot without outliers. (Press

q(On) to construct the box plot with outliers.)

Press d to return to the previous screen, then

q(GPH1). The first screen shot on the right

displays the box plot without outliers. The second

screen shot displays the box plot with outliers.

____________________________________________________________________

How to display two box plots using the same screen.

Using the same data as above, both the box plot with outliers and the box plot without

outliers will be displayed on the same screen.

1. From the main menu, highlight the STAT icon

and press l. If any list contains data, highlight

any entry in the list and then press u( ), >

r(DEL-A), then q to delete all entries in that

list. Repeat for each list containing data.

2. Enter the PPG data into List 1, pressing l

after each entry.

3. Press

q(GRPH), u(SET), then q(GRPH1). Scroll

down one line to Graph Type and press

u(> ),

w

(Box). Scroll down to Outliers and press w(Off)

to construct the box plot without outliers. Press d

to return to the previous screen. Press u(SET),

w(GRPH2). Scroll down one line to Graph

Type and press u(> ), then w(Box). Scroll down

to Outliers and press q(On) to construct the box plot

with outliers. Press d to return to the previous

screen. Press

r(SEL), then press q to turn

StatGraph1 on. Scroll down one place and press

q

to turn StatGraph2 on. Press

u(DRAW).

____________________________________________________________________

(2b) How to save to document on classroom computer.

1. Download the FA-124 Program-Link software to the computer before connecting the

calculator to the computer. The software and cable came packaged with the Casio

fx-9860GII calculator. Connect the calculator to the computer using the cable

provided. Once connected, a connection mode screen will appear on the calculator.

Select DATA TRANSFER: [F1]. The following screen will appear on the computer.

Use the mouse to click the connection button in the top left corner (see the red

arrow on the screen shot below).

2. The following screen will appear on the computer. Click on the icon next to User1

(see the red arrow on the screen shot below).

3. Choose the file to transfer from the list that appears.

4. After selecting the data items to send, press u(TRANS). A message appears to

confirm executing the send operation. Press q(Yes). The calculator will display a

message when the transfer is complete.

Unit IV: Using Recursion in Models and Decision Making

(1b) How to enter bivariate data into lists using the Casio fx-9860GII

Use the following data:

WEEK 1 2 3 4 5 6 7 8 9 10

HEIGHT 5 12 26 39 51 88 94 103 112 115

1. From the main menu, highlight the STAT icon

and press l. If any list contains data, highlight

any entry in the list and then press u( ), >

r(DEL-A), then q to delete all entries in that

list. Repeat for each list containing data. Press u(

>

)

to return to original menu options.

2. When all lists are cleared, title each column using the

labels from the table. Press B to scroll to the SUB

row. Then press

La(A-LOCK) to activate

Alpha-lock. Using the red letters at the top right of

each key, type the titles. Press

l after typing each

title. Only 6 characters may be used for each title.

Press $ B and repeat these steps for the second

column.

3. Press ! to highlight the first entry in List 1 and enter

the numbers for week from the table above. Press

l after each entry.

4. Scroll to the right by pressing

$to get to the next list.

Enter each height into List 2. Press l after each entry.

(1b) How to graph a scatterplot using the Casio fx-9860GII

Use the same data:

WEEK 1 2 3 4 5 6 7 8 9 10

HEIGHT 5 12 26 39 51 88 94 103 112 115

1. Enter the bivariate data into the two lists, as shown in

the last section.

2. Press q(GRPH). (If q is TOOL instead of GRPH,

press u(

>

) first.)

3. Press u(SET). Scroll down to highlight Graph Type

and press q(Scat). Scroll down to XList, YList,

Frequency, and Mark Type, if necessary, to change to

the settings pictured on the right. Press d to return

to the previous screen.

4. Press r(SEL). Only StatGraph1 should be turned on.

If necessary, highlight the desired StatGraph and press

q(On) or w(Off) to change.

5. Press

u(DRAW).

(1b) How to determine “r” using the Casio fx-9860GII

Use the same data:

WEEK 1 2 3 4 5 6 7 8 9 10

HEIGHT 5 12 26 39 51 88 94 103 112 115

1. After entering the bivariate data and graphing, as

shown in the last two sections, press

q(CALC).

2. Press

w(X).

3. Press q(ax+b).

4. The correlation coefficient or “r” is 0.98109874.

(1c) How to enter recursive data into a table using the Casio fx-9860GII

Coen decides to take a job with a company that sells magazine subscriptions. He is paid $20

to start selling and then earns $1.50 for each subscription he sells. Limit your list to 50

entries.

1. From the main menu, highlight the RECUR icon

and press l.

2. When the screen to the right appears, press e(TYPE),

then q(a

n

).

3. Fill in the recursive formula, 1.5n + 20, by pressing

1.5q(n)+20l.

4. Highlight a

n.

Press y(SET). Set Start at 0 and End at

50, pressing

l after each entry.

5. Press

d to return to the previous screen.

6. Press u(TABL).

(1c) How to graph recursive table data using the Casio fx-9860GII

Coen decides to take a job with a company that sells magazine subscriptions. He is paid $20

to start selling and then earns $1.50 for each subscription he sells. Limit your list to 50

entries.

1. Enter the recursive data into a table, as shown in the

previous section.

2. Press u(G-PLT).

(1c) How to make a prediction with table data using the Casio fx-9860GII

How much does Coen earn if he sells 100 magazine subscriptions?

1. Enter the recursive data into a table, as shown two

sections above. Set the table to include the

prediction, 100 subscriptions. For example, start at 0

and end at 100. Scroll down the column to 100. The

second column, a

n

, contains the answer to the question.

(3b) How to enter data into a spreadsheet using the Casio fx-9860GII

Time

(t)

Temperature of

Liquid (L)

Temperature of

Liquid (L) – Room

Temperature (T)

First Differences

(∆T)

Successive Ratios

Above is the spreadsheet in which students are to record the data. Following are the steps

to record the data to a calculator spreadsheet.

1. From the main menu, highlight the S•SHT icon

and press l.

2. Data for the first two columns can be transferred from

the CBL equipment according to the directions of the

CBL or can be entered manually. Press l after each

entry.

3. Highlight cell C2, as shown on the right.

4. Each cell in column C will give the difference of each

consecutive pair of entries in column B. Enter the

formula to compute the difference of cell B2 and cell B1

by pressing

L.ag2-ag1l.

5. Highlight cell C2 and press w(EDIT), w(COPY), then

move the cursor to cell C3 and press

q(PASTE). Scroll

down to C4 and press q(PASTE). Continue through the

entire column.

6. Highlight the cell D2, as shown on the right. Press d

twice.

7. Each cell in column D is the ratio of each consecutive

pair of entries in column B. Start by entering the

formula to compute the ratio of cell B2 to cell B1.

by pressing

L.ag2Mag1l.

8. Highlight cell D2 and press w(EDIT), w(COPY), then

move the cursor to cell D3 and press q(PASTE). Scroll

down to D4 and press q(PASTE). Continue through the

entire column.

(3b) How to construct a graph from spreadsheet data using the Casio fx-9860GII

1. Using the spreadsheet from the last section, press

d until the screen on the right appears.

2. Press

u( ), choose q(GRPH).

>

3. Press u(SET). Set Graph Type to be Scatter by

pressing N, then q(Scat). Use the keypad and q(:)

to set the XCellRange to include all of the column A cells,

and the YCellRange to include all of the column B cells.

Refer to the screen shot on the right.

4. Press d to return to the previous screen. Press q

(GPH1).

(3b) How to graph a function over a scatter plot using the Casio fx-9860GII

1. Using the scatter plot from the last section, press

w

(DefG).

2. Enter the desired function, and press u(DRAW).

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Casio FX-9860GII - SOFTWARE VERSION 2-00 User manual

Casio FX-9860GII - SOFTWARE VERSION 2-00 User manual

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