ClarisWorks: Solving Problems with Spreadsheets

Clarisworks is a integrated multi-purpose application that inlcudes a spreadsheet. It is easy to learn and is available in all the Macintosh WAM labs on campus. We use the spreadsheet to explore how spreadsheets might aid us in the solution of complex calculations. After completing this pertion of the course in Fall 1994, I asked the students if they felt that the use of a spreadsheet was helpful, harmful, or made no difference in working out complex multi-step "statement problems". Here is a quote from my class log for that day:

"Students unanimously agreed that the use of a spreadsheet was

helpful.  They volunteered with the following three advantages: reduces

arithmetic errors; allows the variable to be changed to see what effect

they have; and the spatial layout of the numbers on the page, with cells

and columns labeled, made the problem clearer.  Good observations, I

thought".

Here are the student handouts for this portion of the course:


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Overview of Basic Spreadsheet Operations

Chem 121/122, Fall, 1994



    ClarisWorks is an integrated multi-purpose program that contains a

simple and easy-to-use spreadsheet.  It is available on all of the

Macintoshes in the WAM labs across campus.



A. To launch the ClarisWorks spreadsheet program, click on the

ClarisWorks button on the main menu screen, then click on the

Spreadsheet button.



B. To enter a label or a number into a cell, click on the cell, type,

and press the enter key.



C. To move to another cell, either click on the new cell or use the

cursor (arrow) keys to move.



D. To edit a cell, click on it, make the changes in the "entry box" at

the top of the window, then press the enter key.



E. To enter an equation into a cell, click on the cell, type an = sign

followed by the desired equation, and press the enter key.  When typing

equations, use * for multiplication, / for division, + and - for

addition and subtraction, ^ for exponents (e.g. ^3 means to raise to

the third power).  The values of other cells are referred to location

(A1, B12, etc.).  Use pi() for the value of pi. Example: if the radius

of a sphere is contained in cell B7, then the equation for the volume

of that sphere is "=(4/3)*pi()*B7^3".  Don't forget to press enter when

you are finished entering or editing an equation.



F. You may optionally change the way a number is displayed if a cell by

double-clicking on it.  This brings up the dialog box shown in part

here.  Click on desired buttons and then click on the OK button to

return to the spreadsheet.



You may also use the Format pull-down menu to change the Font,

Size, Style, Text Color, and Alignment of the contents of a cell, just

like in a word processor.



G. To save a spreadsheet on your floppy disk, select Save from the File

pull-down menu, insert your floppy disk into the disk drive, type a

file name, and press return.



H. To print a spreadsheet, select Print... from the File pull-down menu

and press return.  You will need to have obtained print authorization



I.  To get more help, select ClarisWorks Help from the ? menu.  



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Chemistry 121/122           Name______________________________________

Sept. 12, 1994



1. Spreadsheet Construction Exercise



In each of the following spreadsheet layouts,  marks the cells

into which you are to type the numeric inputs (variables) and the blank

cells are calculated cells that contain the equations referring to the

input cells.  Write your cell equations in the blank cells marked by

the square brackets [    ].



A. Construct a simple spreadsheet that converts distances entered in

kilometers into meters and centimeters.  1 kilometer = 1000 meters; 1

meter = 100 centimeters.  Suggested layout:



       kilometers (km)

    [    ]    meters (m)

    [    ]    centimeters (cm)



Use your spreadsheet to compute the radius of the earth (6300

km) in meters ____________ and in cm____________________?



B. Construct a spreadsheet that performs the calculations needed to

draw a scale drawing of the earth an its atmosphere, given the actual

radius of the earth (6300 km), the thickness of the atmosphere (6 km) ,

and the radius in inches of the earth in the scale drawing.   Suggested

layout:



      Radius     Thickness       

               Kilometers

           [     ]    Inches



        Use your spreadsheet to compute to compute the thickness, in

inches, of the atmosphere in a scale drawing that has a radius of 5

inches. __________.



C.  Construct a spreadsheet that performs calculations related to car

travel, taking the first four items in the table below as givens and

computing the last three.



Distance, miles            

Speed, miles/hour          

Mileage, miles/gallon      

Price of gas, $/gallon     

Time required, hours       [     ]

Fuel used, gallons         [     ]      

Cost of trip, dollars      [     ]   



        If you drove 1000 miles at a steady 55 miles/hour, in a car

that gets 20 miles/gallon, when gas costs $1.20 per gallon, how long

would it take ___________, how many gallons of gas would you use

____________ , and how much would you spend on the gas ____________?



D. Construct a spreadsheet equation that computes the number of

molecules of an air pollutant per liter, given the concentration of the

pollutant in parts per million (ppm).  Any gas contains a total of 2 x

10^22 molecules per liter at atmospheric pressure.  Given that the

permissible concentration of sulfur dioxide according to the 1991 EPA

standards is 0.03 ppm.  How many molecules of sulfur dioxide would

there be in one liter of air at this concentration?

_________________   (Hint: 1,000,000 ppm  = 100%  =  2 x 10^22 molecules

per liter).



E.  Construct a spreadsheet that computes the number of liters (1 liter

= 1000 cm3) of air in a rectangular room of given height, width, and

length in feet.  (1 foot = 12 inches; 1 inch = 2.54 cm).  Compute the

volume of a 12' x 10' x 8' room ____________.  Suggested layout:



            Length   Width    Height   Volume  

Feet                     

Inches      [    ]   [    ]   [    ]         

Centimeters [    ]   [    ]   [    ]   [    ]  Cubic centimeters

                                       [    ]  Liters



F.  Construct a spreadsheet that computes the volume in liters of the

atmosphere of the earth, assuming that the earth is a sphere with a

radius of 6300 km and that the atmosphere is 5 km thick.   Suggested

layout:



                Radius     Thickness of   Radius of earth    Volume of 

               of earth     atmosphere     + atmosphere      atmosphere

kilometers                     [     ]

meters          [     ]                      [     ]

centimeters     [     ]                      [     ]      

volume, cm3     [     ]                      [     ]          [     ]

volume, liters                                                [     ]



Suppose that you had used a value of 10 km for the thickness of the

atmosphere, instead of 5 km.  How would this effect the calculated 

volume of the atmosphere?



G. Expand the above spreadsheet to solve the following problem.

Suppose that one liter of a stable gas X is released into the outside

air and completely mixed with the entire atmosphere of the earth.  What

would be the concentration in molecules per liter of X in the

atmosphere after mixing?  (Any gas contains a total of 2 x 10^22

molecules per liter at atmospheric pressure).





2. Plotting Spreadsheet Data



1.Create a spreadsheet containing the data from in Table 1.1 from the

textbook.

-----------------------------------------

           Air composition 

-----------------------------------------

              Inhaled (%)     Exhaled (%)

Nitrogen          78             75

Oxygen            21             16

Argon             0.9            0.9

Carbon dioxide    0.03           4

water             4              4

-----------------------------------------



     To plot these data, click on the upper left cell and hold the

mouse button down while dragging the mouse to the lower right cell of

the table, then let up on the mouse button.  The selected region of the

spreadsheet is shown in black.  Then select Make Chart... from the

Options pull-down menu.  Then click on the icon of the desired chart

type and click on the OK button.



     The resulting graph can be moved by dragging the interior

portion of the graph and re-sized by dragging the small black "handles"

at the four corners.  You can change to another chart type by

double-clicking on the graph interior, or you can change the axes by

double-clicking on them or the legend by double-clicking on it.  Play

around with the various graphing options.



2.  Create a spreadsheet containing the data from in Table 1.2 from the

textbook (EPA data on major air pollutant concentrations in US cities).



Plot these data in a way that attempts to compare the air pollution

levels of these cities.  Note the difficulty caused by the large

numerical range of the data.  The permissible limits for the four

pollutants listed are 9, 0.12, 0.03, and 0.053 ppm, respectively.

Modify the above spreadsheet to plot the relative extent to which each

pollution concentration exceeds the permissible limit for that

pollutant.  In the space below describe how you accomplished that task.