Sharp EL-9900 User manual

Sharp EL-9900
Graphing Calculator
Basic Keyboard Activities
General Mathematics
Algebra
Programming
Advanced Keyboard Activities
Algebra
Calculus
Statistics
Trigonometry
Programming

Sharp EL-9900
Graphing Calculator
Basic Keypad
EL-9900
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1
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. The Basic keyboard can only execute a program. Use the Advanced
Keyboard to enter and check the program.
2. Turn the calculator on and press PRGM to enter the programming menu.
The menu consists of commands to execute, edit, and create new programs.
3. Press C (NEW) and ENTER to open a new program. The calculator is
now locked in ALPHA mode and is prepared to accept a name for the new
program. Enter the program name.
4. You can now enter the program. All program commands are obtained in the
program menu. You cannot type program commands using the ALPHA
key. To reach this menu, press PRGM . All the program commands begin
with an uppercase letter.
5. Press CL to exit the program commands. When entering a new
program, you must press ENTER at the end of each line.
6. If you make a mistake entering a program, use the calculator's editing
feature to correct the error. First, you can press the arrow keys to move
around the program. Second, you can use the DEL key which deletes a
highlighted item, the BS key which backspace deletes an item, and the
2ndF INS keys which allow you to insert new items. Third, the
calculator operates in typeover mode which allows you to simply type over
a mistake. You must press ENTER after correcting a mistake for the
correction to be saved for future use.
CREATING A NEW PROGRAM

2
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. After entering the program with the Advanced Keyboard, press 2ndF
QUIT to save the program and exit the editing mode.
2. Execute a program by pressing PRGM A (EXEC) and select the program
using the arrow keys and press ENTER .
3. If you receive an error statement, press to go to the line within the
program in which the error occurs. Compare your line with the correct one
above to find the error. Correct the error using the editing features of the
calculator and press ENTER to save the correction. Press 2ndF QUIT
and try to execute the program again.
4. Once the program is working, you can execute the program from the Basic
Keyboard.
EXECUTING A PROGRAM
▼
▼

3
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to find the prime factorization of a whole number
greater than 2. This method decomposes a number into the prime factors
2, 3, 5, etc.
2. Create a new program with the name DECOMP. Enter the following program
and remember to press ENTER at the end of each line. If you make a
mistake, use the calculator’s editing features to correct the error.
3. Enter the following program using the Advanced Keyboard:
Input N PRGM A 3 ALPHA N ENTER
2⇒D 2 STO ALPHA D ENTER
Label A PRGM B 0 1 ALPHA A ENTER
If (N÷D) = int PRGM B 0 3 (ALPHA N ÷
(N÷D) Goto B ALPHA D )ALPHA = MATH B 0 5
(ALPHA N ÷ALPHA D )
PRGM B 0 2 ALPHA B ENTER
D+1⇒D ALPHA D +1 STO ALPHA D
ENTER
If D ≤√N Goto A PRGM B 0 3 ALPHA D MATH
F 6 2ndF √ALPHA N PRGM
B 0 2 ALPHA A ENTER
Goto C PRGM B 0 2 ALPHA C ENTER
Label B PRGM B 0 1 ALPHA B ENTER
N÷D⇒N ALPHA N ÷ALPHA D STO ALPHA
N ENTER
Print D PRGM A 1 ALPHA D ENTER
Goto A PRGM B 0 2 ALPHA A ENTER
Label C PRGM B 0 1 ALPHA C ENTER
Print N PRGM A 1 ALPHA N ENTER
End PRGM A 6 ENTER
Press 2ndF QUIT to exit the editor.
PRIME FACTORIZATION

4
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
4. Execute the DECOMP program from the Basic Keyboard by pressing
PRGM and selecting DECOMP. Enter the number for which you want to
find the prime factorization. Try 56. Press 5 6 ENTER to find the
prime factorization of 56. You should then see the following prime
factorization.
You can repeat this program for other numbers by pressing ENTER
to execute the program over and over again. Press CL to clear the
screen.
PRIME FACTORIZATION (continued)

5
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to find the common factors and the greatest common
factor of any pair of whole numbers.
2. Create a new program with the name FACTORS. Enter the following program
and remember to press ENTER at the end of each line. If you make a
mistake, use the calculator’s editing features to correct the error.
3. Enter the following program using the Advanced Keyboard:
Input A PRGM A 3 ALPHA A ENTER
Input B PRGM A 3 ALPHA B ENTER
2⇒D 2 STO ALPHA D ENTER
Label A PRGM B 0 1 ALPHA A ENTER
If fpart (A÷D)π0 PRGM B 0 3 MATH B 4 (
Goto B ALPHA A ÷ALPHA D )MATH F
2 0 PRGM B 0 2 ALPHA B
ENTER
If fpart (B÷D)π0 PRGM B 0 3 MATH B 4 (
Goto B ALPHA B ÷ALPHA D )MATH F
2 0 PRGM B 0 2 ALPHA B
ENTER
Print D PRGM A 1 ALPHA D ENTER
Label B PRGM B 0 1 ALPHA B ENTER
D+1⇒D ALPHA D + 1 STO ALPHA D
ENTER
If D≤min(A,B) PRGM B 0 3 ALPHA D MATH
Goto A F 6 MATH B 6 ALPHA A ,
ALPHA B )PRGM B 0 2
ALPHA A ENTER
End PRGM A 6 ENTER
COMMON FACTORS

6
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
4. Execute the FACTORS program from the Basic Keyboard by pressing
PRGM and selecting FACTORS. Enter the numbers for which you
want to find the common factors. Try 60 and 48. Press 6 0 ENTER
4 8 ENTER to find the common factors of 60 and 48. You should
then see the following common factors.
You can repeat this program for other numbers by pressing ENTER to
execute the program over and over again. Press CL to clear the screen.
COMMON FACTORS (continued)

7
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to perform synthetic division of a polynomial
by a linear divisor.
2. Create a new program with the name SYNTHETI. Enter the following
program and remember to press ENTER at the end of each line. If you
make a mistake, use the calculator’s editing features to correct the error.
3. Enter the following program using the Advanced Keyboard:
Input D PRGM A 3 ALPHA D ENTER
0⇒P 0 STO ALPHA P ENTER
{D+1,1}⇒2ndF {ALPHA D + 1 , 1 2ndF
dim(mat A) } STO 2ndF MATRIX C 0 1 2ndF
MATRIX A 1 )ENTER
Print “COEFFIC PRGM A 1 PRGM 2
IENTS P(X) 2ndF A-LOCK C O E F F I
C I E N T S SPACE P ALPHA
( X/θ/T/n ) ENTER
Label A PRGM B 0 1 ALPHA A ENTER
P+1⇒P ALPHA P + 1 STO ALPHA P
ENTER
Input C PRGM A 3 ALPHA C ENTER
C⇒mat A(P,1) ALPHA C STO 2ndF MATRIX A 1 (
ALPHA P , 1 )ENTER
If P<D+1 PRGM B 0 3 ALPHA P MATH
Goto A F 5 ALPHA D + 1 PRGM
B 0 2 ALPHA A ENTER
Label B PRGM B 0 1 ALPHA B ENTER
Input R PRGM A 3 ALPHA R ENTER
Label C PRGM B 0 1 ALPHA C ENTER
1⇒P 1 STO ALPHA P ENTER
0⇒S 0 STO ALPHA S ENTER
SYNTHETIC DIVISION

8
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
Print “COEFFIC PRGM A 1 PRGM 2
IENTS Q(X) 2ndF A-LOCK C O E F F I C
I E N T S SPACE Q ALPHA (
X/θ/T/n )ENTER
Label D PRGM B 0 1 ALPHA D ENTER
mat A(P,1)⇒F 2ndF MATRIX A 1 (ALPHA P , 1
)STO ALPHA F ENTER
F+S⇒Q ALPHA F + ALPHA S STO ALPHA
Q ENTER
Print Q PRGM A 1 ALPHA Q ENTER
Wait PRGM A 4 ENTER
R×Q⇒S ALPHA R ×ALPHA Q STO ALPHA
S ENTER
P+1⇒P ALPHA P + 1 STO ALPHA P
ENTER
If P<D+1 PRGM B 0 3 ALPHA P MATH
Goto D F 5 ALPHA D + 1 PRGM B 0
2 ALPHA D ENTER
mat A(P,1)⇒F 2ndF MATRIX A 1 (ALPHA P , 1 )
STO ALPHA F ENTER
F+S⇒Q ALPHA F + ALPHA S STO ALPHA
Q ENTER
Print PRGM A 1 PRGM 2 2ndF
“REMAINDER A-LOCK R E M A I N D E R
ALPHA ENTER
Print Q PRGM A 1 ALPHA Q ENTER
End PRGM A 6 ENTER
Press 2ndF QUIT to exit the editor.
SYNTHETIC DIVISION (continued)

9
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
4. Execute the SYNTHETI program from the Basic Keyboard by pressing
PRGM and selecting SYNTHETI. Use synthetic division to divide
P(x) = 2x3+ 3x2+ 4x + 5 by x – 1. Enter the degree for P(x) by pressing
3 ENTER . Next enter the coefficients and constant for P(x) by pressing
2 ENTER 3 ENTER 4 ENTER 5 ENTER . Enter the r
value of 1 by pressing 1 ENTER . The first coefficient of Q(x) will
appear. Press ENTER to see additional coefficients. The remainder will
be shown to end the program. You should then see the following
coefficients, constant and remainder (Q(x) = 2x2+ 5x + 9, remainder = 14).
You can repeat this program for other numbers by pressing ENTER to
execute the program over and over again. Press CL to clear the screen.
SYNTHETIC DIVISION (continued)

10
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to graph a random walk. A random walk can go in
any direction for a random distance. This program stops when the graph
tries to go outside the calculator display.
2. Create a new program with the name WALK. Enter the following program
and remember to press ENTER at the end of each line. If you make a
mistake, use the calculator’s editing features to correct the error.
3. Enter the following program using the Advanced Keyboard:
ClrDraw 2ndF DRAW A 1 ENTER
0⇒D 0 STO ALPHA D ENTER
.5⇒X . 5 STO X/θ/T/n ENTER
.5⇒Y . 5 STO ALPHA Y ENTER
Label A PRGM B 0 1 ALPHA A ENTER
.2(random–.5)⇒H . 2 (MATH C 1 – . 5 )STO
ALPHA H ENTER
.2(random–.5)⇒K . 2 (MATH C 1 – . 5 )STO
ALPHA K ENTER
Line(X,Y,X+H, 2ndF DRAW A 2 X/θ/T/n , ALPHA
Y+K) Y , X/θ/T/n + ALPHA H , ALPHA
Y + ALPHA K )ENTER
X+H⇒XX/θ/T/n + ALPHA H STO X/θ/T/n ENTER
Y+K⇒Y ALPHA Y + ALPHA K STO ALPHA
Y ENTER
If X<0 Goto B PRGM B 0 3 X/θ/T/n MATH F
5 0 PRGM B 0 2 ALPHA B ENTER
If X>1 Goto B PRGM B 0 3 X/θ/T/n MATH F 3 1
PRGM B 0 2 ALPHA B ENTER
If Y<0 Goto B PRGM B 0 3 ALPHA Y MATH F 5 0
PRGM B 0 2 ALPHA B ENTER
RANDOM WALKS

11
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
If Y>1 Goto B PRGM B 0 3 ALPHA Y MATH F 3
1 PRGM B 0 2 ALPHA B ENTER
D+√(H2+K2)⇒D ALPHA D + 2ndF √(ALPHA H
x2+ ALPHA K x2)STO ALPHA
D ENTER
Goto A PRGM B 0 2 ALPHA A ENTER
Label B PRGM B 0 1 ALPHA B ENTER
Print D PRGM A 1 ALPHA D ENTER
End PRGM A 6 ENTER
4. First, press Y= and CL to clear the Y1 prompt. Press CL to clear
additional prompts if necessary. Set the viewing window for the graphing by
pressing WINDOW 0 ENTER 1 ENTER 1 ENTER 0
ENTER 1 ENTER 1 ENTER . Execute the WALK program by
pressing PRGM and selecting WALK. The program will show you the
random walk and then display the distance traveled in the walk. If your walk
is short, then press ENTER to execute the program again. When you
have a long walk, press GRAPH to view the graph. A long walk is greater
than 10.
RANDOM WALKS (continued)
▼

12
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to roll a set of dice.
2. Create a new program with the name ROLLING. Enter the following program
and remember to press ENTER at the end of each line. If you make a
mistake, use the calculator’s editing features to correct the error.
3. Enter the following program using the Advanced Keyboard:
Print “NUMBER PRGM A 1 PRGM A 2 2ndF
OF DICE A-LOCK N U M B E R
SPACE O F SPACE D I C E ENTER
Input N PRGM A 3 ALPHA N ENTER
0⇒K 0 STO ALPHA K ENTER
Label A PRGM B 0 1 ALPHA A ENTER
Print int ( PRGM A 1 MATH B 5 (
random ×6)+1 MATH C 1 ×6)+ 1 ENTER
K+1⇒K ALPHA K + 1 STO ALPHA K
ENTER
If K<N PRGM B 0 3 ALPHA K MATH
Goto A F 5 ALPHA N PRGM B 0 2
ALPHA A ENTER
End PRGM A 6 ENTER
ROLLING DICE

13
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
4. Execute the ROLLING program by pressing PRGM and selecting
ROLLING. Enter the number of dice, up to eight, that you wish the calculator
to roll for you. Roll five dice by pressing 5 ENTER . The program will
show the five values for the dice on the screen. You should see a screen
similar to the following (the values for the dice should be different).
ROLLING DICE (continued)

14
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Program the calculator to find Pythagorean triples. Pythagorean triples are
three numbers x, y, and z that satisfy x2+ y2= z2.
2. Create a new program with the name PYTHAG. Enter the following program
and remember to press ENTER at the end of each line. If you make a
mistake, use the calculator’s editing features to correct the error.
3. Enter the following program using the Advanced Keyboard:
Input N PRGM A 3 ALPHA N ENTER
2⇒J 2 STO ALPHA J ENTER
1⇒K 1 STO ALPHA K ENTER
Label A PRGM B 0 1 ALPHA A ENTER
If √(J2+K2)≠ipart PRGM B 0 3 2ndF √(ALPHA J
(√(J2+K2)) Goto B x2+ ALPHA K x2)MATH F 2
MATH B 3 (2ndF √(ALPHA
J x2+ ALPHA K x2))PRGM B
0 2 ALPHA B ENTER
Print J PRGM A 1 ALPHA J ENTER
Print K PRGM A 1 ALPHA K ENTER
Print √(J2+K2) PRGM A 1 2ndF √(ALPHA
J x2+ ALPHA K x2)ENTER
Print “ PRGM A 1 PRGM A 2 ENTER
Wait PRGM A 4 ENTER
Label B PRGM B 0 1 ALPHA B ENTER
K+1⇒K ALPHA K + 1 STO ALPHA K ENTER
If K≤(J–1) PRGM B 0 3 ALPHA K MATH
Goto A F 6 ( ALPHA J – 1 )PRGM B 0
2 ALPHA A ENTER
J+1⇒J ALPHA J + 1 STO ALPHA J ENTER
1⇒K 1 STO ALPHA K ENTER
If J≤N PRGM B 0 3 ALPHA J MATH
PYTHAGOREAN TRIPLES

15
Basic Keyboard/PROGRAMMING USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
Goto A F 6 ALPHA N PRGM B 0 2
ALPHA A ENTER
End PRGM A 6 ENTER
4. Execute the PYTHAG program by pressing PRGM and selecting
PYTHAG. Enter the upper bound for the Pythagorean triples. Set the upper
bound to 15 by pressing 1 5 ENTER . The program will show the first
Pythagorean triple. Press ENTER to view additional triples. You should
see screens similar to the following ones.
PYTHAGOREAN TRIPLES (continued)