Casio FX-CG10 User manual

The status bar will display messages and current status like battery
level, angle mode, fraction results, complex mode, or input/output
settings.
Select the desired icon by highlighting it and pressing lor just
press the number or letter in the lower right corner.
The function keys allow you to access the tab (soft key) menus that
will come up at the bottom of the screen. When an (>) appears
above the ukey, selecting uwill offer more on-screen choices.
The pkey displays every mode the calculator has. To select a
mode, you may $Nto the desired icon and press lor press
the number or letter in the lower right hand corner of the icon.
The dkey operates like the back arrow on a web browser; it will
take you back one screen each time you select it. The dkey will
not take you to the icon menu.
The Lkey activates any function displayed on or above the cal-
culator buttons that is yellow. For example, to nd the square root of
number, you would need to press L, then s.L5gives
you access to on-screen color formatting.
The Okey will power the unit on. To turn the unit off, press the
yellow Lkey, then Okey.
The akey activates any function displayed on or above the
calculator buttons that is in red. For example, to type the letter A,
press a, then f.
The lkey executes operations. When data is entered, the l
button must be pressed to store the data.
fx-CG10 PRIZM
Quick
Reference Guide
White gradient to 50% transparency.
Note this logo is on separate layer from background

Getting Started with the fx-CG10
ICON Menu
Name Description
RUN
MATRIX
This icon menu is used for general computations, including binary, octal, decimal, and hexadecimal
functions and matrices.
STATISTICS This icon menu is used to perform single-variable (standard deviation) and paired variable (regression)
statistical calculations, to perform test, to analyze data and to draw statistical graphs.
eACTIVITY eActivity lets you input text, math expressions, and other data in a notebook-like interface.
Use this mode when you want to store text, formulas, or built-in application data in a le.
SPREAD-
SHEET This icon menu is used for creating spreadsheets.
GRAPH This icon menu is used to draw, store and calculate information of functions.
DYNAMIC
GRAPH
This icon menu is used to store functions, to generate a numeric table of different solutions
as the values assigned to variables in a function change, and to draw graphs.
TABLE This icon menu is used to graph parabolas, circles, ellipses, and hyperbolas. You can input
a rectangular function, polar coordinate function or a parametric function for graphing.
RECURSION This icon menu is used to solve linear equations with two through six unknowns, and high-order
equations from 2nd to 6th degree.
CONIC
GRAPH
This icon menu is used to graph parabolas, circles, ellipses, and hyperbolas.
You can input a rectangular function, polar coordinate function or a arametric function for graphing.
EQUATION This icon menu is used to solve linear equations with two through six unknowns, and high-order
equations from 2nd to 6th degree.
PROGRAM This icon menu is used to store programs in the program area and to run programs.
The following explains the meaning of each icon on the fx-CG10 icon menu
2

Getting Started with the fx-CG10
ICON Menu Name Description
FINANCIAL This icon menu is used to perform nancial calculations and to draw cash
ow and other types of graphs.
DATA
ANALYZER
LINK
This icon menu is used to control the optionally available EA-200 Data Analyzer.
For information about this icon menu, download the E-CON2 manual from http://edu.casio.com.
LINK This icon menu is used to transfer memory contents or back-up data to another unit or PC.
MEMORY This icon is used to manage data stored in memory.
SYSTEM This icon menu is used to initialize memory, adjust contrast, reset memory, and to manage
other system settings.
GEOMETRY This icon menu allows you to draw, analyze and animate geometric objects.
PICTURE
PLOT
This icon menu allows you to plot points (that represents coordinates)
on screen and then perform various analysis of the data collected.
Conversion This icon menu allows you to perform unit conversions of length, area, volume, time, temperature,
velocity, mass, force/weight, pressure, energy/work, and power.
The following explains the meaning of each icon on the fx-CG10 icon menu
3

Getting Started with the fx-CG10
RUN-MATRIX
For basic calculations, like those that can be done on a scientic calculator, use the Run-Matrix menu.
From the Main Menu, press 1.
To select how certain commands and results will be interpreted or displayed, press Lp(SET UP). For Input/
Output, select Math for natural display of fractions, radicals and other expressions. For Frac Result, select d/c for a
fraction result as the default or ab/c for a mixed number as the default. For Angle, select Deg or Rad for degrees or
radians.
Note: the status bar at the top of the screen displays the selection for some of these options.
1. Evaluate 2
3
4
+
5
6
.
Press LzZ2$3$4$+z5$6l. To see the result as a mixed number,
press LxX. To see the result as a decimal, press x.
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Getting Started with the fx-CG10
RUN-MATRIX
2. Simplify .
LsS18l. To see the result as a decimal, press x.
3. Add 48 and 24. Then, divide by 2. Finally, subtract from 56.
The purpose of this example is to demonstrate the Ans key. Ans represents the previous answer. Press
48+24l. Then, press M2l. Ans appears automatically when an operation symbol is
pressed. However, Ans has to be pressed for the subtraction part. Press 56-Ln(Ans)l.
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Getting Started with the fx-CG10
GRAPH
To construct graphs and use graphical analysis commands, use the Graph menu. From the Main Menu, press 5.
The rst screen is the function/relation editor. To select how certain results will be displayed, press Lp
(SET UP).The suggested selections for Coord, Grid, Axes and Label are shown. Scroll down to these selections.
To make a change, highlight the item and use the function button that appears directly below the desired tab. For
example, when Coord is highlighted, q(On) will turn coordinates on and w(Off) will turn coordinates off.
Press dto return to the editor.
The Math Club plans to sell t-shirts. Previous experience suggests that the number of t-shirts sold depends
on the price. A good model for the number sold, y, as a function of the price, x, is y = -2x + 40.
1. Construct a graph of this equation.
To construct a graph of this model, press n2f+40l.To select the view window, press
Le(V-Window). Change the values for the window, as shown, pressing lafter each value. The values for
Scale determines the location for the marks on the axes and the gridlines. Press dto return to the editor.
To draw the graph, press u(DRAW). When a graph is displayed the +key can be used to zoom in,
the -key to zoom out, and$!BN to scroll.
6

Getting Started with the fx-CG10
GRAPH
2. How many shirts would be sold at a price of $12 per t-shirt?
To trace on the graph, press Lq(Trace). Use $! to move the cursor. To select a specic value, type
the value, in this case 12. A dialogue box opens, press l. To mark a point and keep the coordinates on the
display, press la second time.
3. There is a price that is too high, meaning no shirts are sold. At that point, the x-intercept of the graph (y = 0) and the
value of x is a root of the equation
−2x+40 =0
.
To nd the root, press Ly(G-Solv)q(ROOT). The result, $20, is shown at the bottom of the screen. To mark
an intercept and keep the coordinates on the display, press l a second time.
4. If
−2x+40
shirts are sold at price, x, then the number of dollars collected for the sale is
x
−
2x
+
40
( )
or
−2x2+40x
.
To graph this function, rst, deselect the previous equation by pressing d,Bso the cursor is on Y1,
then press q(SELECT)N. Note, the = sign is not highlighted. The cursor should now be on Y2.
Press n2fs+40fl.
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Getting Started with the fx-CG10
RUN-MATRIX
To select the view window, press Le(V-Window). Change the values for the window so that Ymax is 250 and
Yscale is 50. Press dto return to the editor. To draw the graph, press u(DRAW).
5. Compute the number of dollars earned, if each t-shirt is sold at $12.
To compute the number of dollars earned if shirts are sold for $12, press Lq(Trace). Type the value, in this
case 12. A dialogue box opens, pressl. The models predict that at a price of $12, 16 shirts will be sold
for a total of $192.
6. Determine the price that will give the greatest prot.
To determine the price that is predicted to make the most money, press Ly(G-Solv)w(MAX). The results,
$10 and $200, are shown at the bottom of the screen. To mark the point and keep the coordinates on the display,
press la second time.
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Getting Started with the fx-CG10
GRAPH
7. Determine the price of each t-shirt in order to collect $150.
To determine the price of each t-shirt, in order to collect a total of $150, press Ly(G-Solv)u
(

)
w
(X-CAL)150l. (The
(

)
symbol moves to the next page of commands.)
There is another point where y = 150. Use $to move to the next point. Press lto mark one or both of these
points. $150 can be earned by selling shirts at $5 or at $15.
8. Find the intersection of the equations in Y1 and Y2.
Although it is not particularly meaningful in this example, a common problem is to nd the intersection point of two
graphs. Press dto return to the editor. Highlight Y1 and press q(SELECT). Now, both graphs will be drawn.
Press u(DRAW). To nd the intersection points for the two graphs, press y(G-Solv)y(INTSECT). 38 shirts
are sold at the price of $1, for a total of $38. (These graphs also intersect at (20, 0) where no shirts were sold.)
9

Getting Started with the fx-CG10
TABLE
1. Construct a table of values that shows the price, number of shirts, and total dollars using increments of $0.50.
To construct tables, from the Main Menu, press 7. The equations for the functions appear if they have been
previously entered, including those entered in the Graph menu.
To set the initial value, end value and the increment, press y(SET). Enter the values for Start, End and Step. Press
l after entering each value, then press d. To display the table, press y(TABLE). Use Nto scroll through
the table.
Note: values in the x-column can also be changed manually. Press any value desired, then press l. Here, the value
of 3 was changed to 7.
10

Getting Started with the fx-CG10
GRAPH-MODIFY
1. Explore how the graph of the function
y=Ax +B
changes for different values of A and B.
From the Main Menu, press 5. Use q(SELECT) to deselect any functions and Nto move to a new line; in this
screen shot, it is Y3. Press r(TOOL)e(BUILT-IN). With Y=Ax+B, highlighted, press q(SELECT).
To use a standard window, press Le(V-Window)e(STANDRD)d.
Press y(MODIFY). A graph is drawn based on values stored to Aand B. Values for the variables are displayed in
the lower left portion of the screen. The active value is magenta, in this case, A. Press $to increase A by the value
shown as Step. Press !to decrease A. Alternately, press any number keys to change the value of A. A dialogue
box opens displaying the new desired value, then, press l. Notice, the previous graph is drawn in faint yellow. Use
NB to change the value of a different variable or the value for Step.
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Getting Started with the fx-CG10
EQUATION
The equation
−2x2+40x=150
was previously solved in the Graph menu. It can also be solved in the Equation menu
by transforming it to
-2x2+40x-150 =0
.
Press pf(A). (It is not necessary to push a.) To solve polynomial equations, press w(POLY).
Press q(2) for a second degree polynomial.
Enter the 3 coefcients, pressing lafter each one. Note, equations must be in standard form to solve. To solve,
press q(SOLVE). Both solutions are displayed. Note, when solutions are not rational, both a decimal and an exact
solution are displayed. The third screenshot displays the solutions to
−2x2+40x−160 =0
.
12

Getting Started with the fx-CG10
EQUATION
2. Solve the system
The Equation menu can also be used to solve linear systems. Within the Equation menu, press Ld(QUIT).
Press q(SIMUL) then w(3).
Enter all 12 values, pressing lafter each one. To solve this system, press q(SOLVE).
a + 4b - 5c = 23
2a -b + 6c = 5
3a + 7b + c = 32
{
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Getting Started with the fx-CG10
CONICS
1. Construct the graph of the conic section .
From the Main Menu, press 9. Scroll down to the correct form and press l.
Enter the correct values. Note, the exponents in the denominators, so A = 2, rather than 4. Also, note the minus signs
in the numerator, so H = 3 and K = -1. Press lafter each value. As before, press Le(V-Window)
to change the values for the window, then press d. To draw the graph, press u(DRAW).
2. Find the asymptotes for the conic graph.
To draw the asymptotes, press Ly(G-Solv)y(ASYMPT). The slope for each line is also displayed.
14

Getting Started with the fx-CG10
CONICS
3. Find and label the vertices and foci for the conic graph.
To label the coordinates of the vertices, press Ly(G-Solv)r(VERTEX). To label the coordinates of the foci,
press Ly(G-Solv)q(FOCUS). In each case, press $to move to the second point. To mark points and keep
the coordinates on the display, press la second time for either or both points.
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Getting Started with the fx-CG10
STATISTICS
1. Suppose one of the questions asked on a survey was “What type of pet do you have?”, and the results from
50 people are shown in this table. Construct a pie chart and a bar chart of these data.
Pet Category Dog Cat Fish Bird Other None
Frequency 14 12 9 6 4 5
From the Main Menu, press 2. The list editor opens. Enter the values in the table in List 1, pressing lafter each
value.
To construct a graph, press q(GRAPH). Then, press u(SET). Scroll to Graph Type and select r(Pie).
If necessary, scroll to Data and change to List1. Display can be used to select percentages or counts with the chart.
Press dand q(GRAPH1). The color and shading of plots can be changed by using L5(FORMAT).
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Getting Started with the fx-CG10
STATISTICS
To change to a bar chart, press du(SET)Nu
(

)
e(Bar). Press dq(GRAPH1) to view the bar chart.
To display the frequencies, press Lq(Trace).
2. The number of games won (out of 162) by a certain baseball team for the years 2002 – 2013 are shown in the
table. Construct a histogram and a boxplot for these data.
67 88 89 79 66 85
97 83 75 71 61 66
Enter these data in the list editor. To set StatGraph1 to a histogram, press q(GRAPH) and u(SET).
For Graph Type, select q(Hist).
Press dq(GRAPH1). Select Start and Width values to determine the rectangles that will be plotted.
Press q(1-VAR) to see the statistical analysis of the data.
17

Getting Started with the fx-CG10
STATISTICS
Press u(DRAW) to return to the plot. To display the frequencies, press Lq(Trace).
To change to a box-and-whisker plot (boxplot or median box plot), press du(SET). Scroll to Graph Type
and press w(MedBox). Press dq(GRAPH1). To display the minimum, maximum, and quartiles, press
Lq(Trace). Use $to display the next value.
18

Getting Started with the fx-CG10
RECURSION
1. Suppose $100.00 is deposited into a savings account with an interest rate of 4% compounded quarterly. How much
is in the account for each of the rst 8 quarters?
Because this is a discrete model, it can be modeled as a sequence. Although the menu says Recursion, it can be used
for both explicit and recursive sequences. From the Main Menu, press 8to open the sequence editor. If the type is
not an, press e(TYPE)q(an). The account pays 1% per quarter so enter the formula as shown, using q(n) for n.
Press l.
To create a table of values, press y(SET). Select Start and End values and press lafter entering each value. To
display the table, press u(TABLE).
This sequence can also be viewed as a graph. Before plotting the graph, set a window by pressing Le
(V-Window). Press d. To see the graph, press u(GPH-PLT). To trace on the graph, press Lq(Trace).
19

Getting Started with the fx-CG10
RECURSION
The sequence can also be created as a recursive formula. Return to the editor using Ld(QUIT). To change
the type, press e(TYPE)w(an+1) and edit the equation. To insert an, press w(an) then l. To specify the initial
value, press y(SET). For a0, enter 100l.
To see the table, press du(TABLE). To view a graph, press u(GPH-PLT).
2. How long will it take for the account to double in value to $200.00?
One good way to answer this question is to return to the Equation menu. Press pf(A). To enter the equation,
press e(SOLVER). If e(SOLVER) is not an option, press duntil it is. To insert the =, press L.(=). Once
the equation is entered, press lor u(SOLVE). It will take 70 quarters or 17
1
2
years for the investment to double.
20