1–Programming Algorithmsandcalculators

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Algorithms and calculators

Season 1

Episode AP07 Time frame 1 period

Prerequisites :

^Coneptândêxamplesôfâlgorithms

Objectives :

•

^Disover ^how^algorithms^an ^beimplemented with a alulator.

Materials :

•

Calulators.

•

^Slideshow.

•

^T^ask ^sheet.

1 – Programming 55 mins

Pupils workby pairs.They havetoimplementsome algorithmswiththeir alulatorand

understand how the programminglanguageworks.

(2)

Algorithms and calculators

Season 1 Episode AP07 Document TI

Creating, Editing, Executing

Create a new program prgm > NEW >1 :Create New

Name the program Alpha mode is automati.

Edit anexisting program prgm >EDIT > Choose the program

Exeute a program prgm > EXEC> Choose the program

Programming instructions

Assignment instrution

→

^Key ^sto

→

Input/Outputinstrutions prgm > I/O

Conditionalinstrutions prgm > CTL

Loop instrutions prgm > CTL

Relations, logic and lists

Relations (

=

^,

<

⁾ ^2nde ⁺ ^math ^> ^TEST

Logialoperators (and, or) 2nde + math > LOGIC

Listsnames 2nde + Keys 1 to6

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Algorithms and calculators

Document CASIO

Creating, Editing, Executing

Createa new program PRGM Menu > F3 NEW

Name the program Alpha mode is automati.

Edit an existing program PRGMMenu > Choose the program> F2 EDIT

Exeute a program PRGM Menu >Choose the program> F1 EXE

Programming instructions

Assignmentinstrution

→

^Key

→

Input/Outputinstrutions SHIFT + VARS > F4 ? or F5

Separator in aline SHIFT +VARS > F6 > F1 :

Conditionalinstrutions SHIFT + VARS > F1 COM

Loop instrutions SHIFT + VARS > F1 COM > F6 (one ortwie)

Relations, logic and lists

Relations(

=

^,

<

⁾ ^SHIFT ⁺ ^V^ARS ^> ^F6 ^> ^F6 ^> ^F4 ^LOGIC

Logial operators(and, or) fboxOPTN > F6 > F3 REL

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Algorithms and calculators

Season 1

Episode AP07

Document CASIO Task sheet

Algorithm # 1

Algorithm Implementation

begin

Input :

A

^,

B A ← A + B

^;

B ← A − B

^;

A ← A − B

^;

Output :

A

^,

B

end

?

→

^A

?

→

^B

A+B

→

^A

A-B

→

^B

A-B

→

^A

A=:A

B=:B

1

^. ^Copy ^the ^programⁱⁿ ^your ^alulator, ^naming^it ^SWITCHAB.

2

^. Êxeute ^the ^programând ^llôut ^the ^table ^below.

Input

A = 5

^,

B = 3 A = − 2

^,

B = 1 A = − 70

^,

B = 42

Output

Algorithm # 2

?

→

^A

?

→

^B

A+B

→

^C

A-B

→

^D

C=:C

D=:D

1

^. ^Copy ^the ^programⁱⁿ ^your ^alulator, ^naming^it ^SUMDIFF.

2

Input

A = 5

^,

B = 3 A = − 2

^,

B = 1 A = 70

^,

B = 42

Output

3

^. ^What ^seems ^to ^be ^the ^purpose ^of ^this ^algorithm^?

4

^. În^theêmpty^spaeâbove,^write^theâlgorithmⁱⁿÊnglish^with^theûsualpresentation.

(5)

Algorithm # 3

begin

Input :

x

if

x > 0

^then

Output :

x

else

Output :

− x

endif

end

?

→

^X

If X<0:Then -X

→

^X^:IfEnd

X

1

^. ^Copy ^the ^programⁱⁿ ^your âlulator, ^namingît ÂBSVÂL.

2

^. Êxeute ^the ^programând ^llôut ^the ^table ^below

Input 17

− 5 − 1 . 8 15 / 7 − π

Output

3

^. ^We^want^to ^modify^the âlgorithm^so ^thatît^willômpute ^the^square ôf âny ^positive

input and the opposite of the square of any negative input. Write down below the

new algorithmand how youwould implement itwith your alulator.

4

^. ^Copy ^the ^new ^program ⁱⁿ^your âlulator, ^namingît ÂLGSQUARE.

5

Input 6

− 5 − 11 √

2 − √

5

(6)

Algorithms and calculators

Season 1

Episode AP07 Document TI Task sheet

Algorithm # 1

begin

Input :

A

^,

B A ← A + B

^;

B ← A − B

^;

A ← A − B

^;

Output :

A

^,

B

end

:Prompt A

:Prompt B

:A+B

→

^A

:A-B

→

^B

:A-B

→

^A

:Disp A,B

1

^. ^Copy ^the ^programⁱⁿ ^your ^alulator, ^naming^it ^SWITCHAB.

2

Input

A = 5

^,

B = 3 A = − 2

^,

B = 1 A = − 70

^,

B = 42

Output

Algorithm # 2

:Prompt A

:Prompt B

:A+B

→

^C

:A-B

→

^D

:Disp C,D

1

^. ^Copy ^the ^programⁱⁿ ^your ^alulator, ^naming^it ^SUMDIFF.

2

Input

A = 5

^,

B = 3 A = − 2

^,

B = 1 A = 70

^,

B = 42

Output

3

^. ^What ^seems ^to ^be ^the ^purpose ^of ^this ^algorithm^?

4

^. În^theêmpty^spaeâbove,^write^theâlgorithmⁱⁿÊnglish^with^theûsualpresentation.

(7)

Algorithm # 3

begin

Input :

x

^;

if

x > 0

^then

Output :

x

else

Output :

− x

endif

end

:Prompt X

:If X<0

:Then

:-X

→

^X

:End

:Disp X

1

^. ^Copy ^the ^programⁱⁿ ^your âlulator, ^namingît ÂBSVÂL.

2

Input 17

− 5 − 1 . 8 15 / 7 − π

Output

3

^. ^We^want^to ^modify^the âlgorithm^so ^thatît^willômpute ^the^square ôf âny ^positive

input and the opposite of the square of any negative input. Write down below the