Math Processor - The Interactive Calculator


1) Do simple arithmetic in CalcuScribe's math processor. The data entered can be seen on-screen and revised. CalcuScribe automatically recomputes new answers after the data is revised! You can see the errors and don't have to re-enter all the data! Phew!

2) A teacher can beam word problems from her machine to the students. They open the file and write math expressions to solve the word problems.

3) CalcuScribe computes the results, immediately, and displays them next to each expression.

4) Students can create variable-names (like: apples, oranges, cats and dogs) and refer to them in subsequent expressions. They can break-up a complex problem into simpler parts.

5) Math-files are auto-saved. They can be opened and scrolled. The cursor can be placed at any location for revision. As soon as the revision is made, results for all the expressions are automatically re-computed. Students can copy 'n' paste within the file or to other files. They may type text comments to explain their work and the results, within the file, adjacent to each math expression.

6) Students can print the file so that a teacher can evaluate their work. After receiving feedback, students can revise the expressions and the results are automatically re-computed.

7) Higher grade students can use scientific and trigonometric functions. This is subtly done so that the advanced functions do not confuse the younger kids.

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EZMath

Begin text with a colon :
End text or math with the Enter key
Press F12, anytime, anywhere, to recalculate
Use the up or down arrow keys to auto-compute


Commands available:
FLOAT shows results with variable # of digits after the decimal point.
FIXED(#) shows results with fixed # of digits after the decimal point.


Arithmetic Binary Operators:
+ add
- subtract
* multiply
/ divide

Other Operators:
( left parenthesis
) right parenthesis

Assignment:
= means set equal to

Example #1: RESULT
apples = 5 : apples is assigned the value 5
oranges = 3 3
fruit = apples + oranges 8
eaten = 2 : ate an orange and an apple 2
fruitleft = fruit - eaten 6

Example #2:
 
FIXED(2)  
Joey_had =10 :$ in his pocket 10.00
he_spent = 0.99 + 4.50 + .75: for candy, movie and busfare 6.24
Joey_has = Joey_had - he_spent : $ left in his pocket 3.76

Exercise: If Joey wants to equally share the remaining money with his sister, how much should he give her?
 
give_sister = Joey_has/2 : i.e., he gives one-half of his money to his sister 1.88

Exercise: If Joey had 20 dollars to start with would his sister get twice as much, at the end of the day? To find out, change the value assigned to Joey_had to 20 instead of 10.
 

 

MathWiz

DEGREES - angular input and output is in degrees
RADIANS - angular input and output is in radians
360 degrees = 2PI radians
Default settings are FLOAT and DEGREES

PI = 3.141592653589793238
e = 2.718281828459045235
Do not use e or pi as variable names

Available Functions:
sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, log, ln, alog, exp, sqrt, abs

Function arguments must be in parenthesis.
For example, sin (90).

Arithmetic Unary Operators:
- negate, example: -5
! factorial, example: 3!
CalcuScribe calculates factorials of real numbers - not just integers!

Arithmetic Binary Operators:
^ raised to the power
MIN shows the minimum value
MAX shows the maximum value

Logical Binary Operators:
< less than
<= less than or equal to
> greater than
>= larger than or equal to
< > not equal to
== identical or equal to
AND logical and
OR logical or
NOT logical not


Example #1:
a = 1.1
b = 2.2
z = a^b
a MIN (b Max z)



1.1
2.2
1.2332863
1.1

Example #2:
 
a >= b : is it true? NO
a <> b : is this true? YES
2*a == b : b is twice a YES


Example #3:

FIXED(4) : show results with 4 decimal places

 
z = 1.00 1.0000
what_is = 1 + z + z^2/2! + z^3/3! + z^4/4! + z^5/5! + z^6/6! 2.7181


Exercise:
for 7 decimal place accuracy change the results format to FIXED (7)

 
: Now add more terms to the above series  
what_is = what_is + z^7/7! + z^8/8! + z^9/9! + z^10/10! 2.7182818

Example #4:

n = 10 : assign a value to n



10.0000000

asymptotic_e = (1+n)^n/n^n 2.5937425

Exercise: Increase n and see how asymptotic_e changes
 

Example #5:
RADIANS: switch to radians
 
guess_this = atan(9999999) 1.5707962

Exercise: Don’t know? then multiply by 2
 
2*guess_this = 3.1415925

Exercise:
Galileo’s experiment
: A ball is dropped from a 4 story building. Each story is 12 feet high. How long does it take the ball to reach the ground?
 
stories = 4 : # of stories 4.0000000
height = 12: story height 12.0000000
acceleration = 32 : gravitational acceleration is 32 feet/sec/sec 32.0000000
distance = s * h : total distance the ball falls 48.0000000
time = sqrt(2 * d/a) : in seconds 1.7320508

Exercise: How long will it take the ball to reach the ground if dropped from the 2nd story?
 
 


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