Casio Fx-CG20 User Manual

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1 User Guide for the operations of the FX-CG20. Graphic Calculator ...

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2 Graphic calculators are complex and powerful tools for the modern teaching of mathematics. This brief guide is intended as a workbook on the key applications and functionality of the FX-CG20. For more detailed information, the user guide i...

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Preface ............................................................... 2 Table of contents ................................................. 3 Device Overview ................................................ 4 Keypad ..................................

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4 Device Overview: Keypad USB connection 3-pin connector cable Functions button Cursor Main Menu Variable allocation Power ON Power OFF Calculate confirm range Options for commands and variables [ SHIFT ] Button – second assignment ( y...

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5 Applications OVERVIEW OF THE MAIN APPLICATION Run – Matrix Main application, calculations, numerical differentiation and integration, random numbers, matrix algebra and combinations. Statistics Statistics application, data entry and anal...

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6 The Reset is used to reset the calculator to the factory default settings ( initialization ) or the Deleting Setup settings, variable eActivities, programs or add-ins. Often, a reset is required before exams. The following example deletes all ...

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7 Application areas can be opened from the Main menu. [ MENU ] Main Menu With the key [ MENU ] , one can return to the Main menu. Opening and Closing an application Use the Cursor keys ( ^ ) ( < ) ( > ) to the desired application and ...

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8 In the SETUP, default settings of each application can be changed. Using the keys [ OPTN ] and [ VARS ] , depending on the application, commands and variables are entered SETUP In the SETUP, the basic settings for each application is set: [ ...

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9 RUN-MAT Applications: Simple Calculations ( Simple ) calculations are performed in the RUN-MATRIX-application. Input Mode The input Mode “Math” ( Natural Display ) is set in the applications RUN-MATRIX, TABLE, GRAPH, DYNOGRAPH nd EQUATIO...

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10 Input Options Inputs, also in already-running calculations, can be edited and changed. Inserting and Deleting Entries To insert: Place the cursor at the position the expression should be inserted. Make entries. Overwrite: [ SHIFT ] [ DEL ] ...

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11 Calculating with commands Command Structure Every calculation with a command has a specific structure: Command ( Term, Parameter ) . The number of parameters may vary according to the command. Parameters are seperated with [ , ] Example ...

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12 Working with Variables/Squares Since all calculations are numerically performed, the calculations with Variables must be assigned one value. Assigning Variable values To assign values to variables, the key [ --> ] must be used. Value --&g...

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13 Matrices in a Natural Display The input mode, “ Natural Display” provides a simple method for calculations with matrices. Entering Matrices Access the Matrix template with: [ F4 ] ( MATH ) [ F1 ] ( MAT ) . Selection of rows- ( m ) ...

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14 Matrix Editor Matrix editor: Setting the matrix – Types Select a Matrix with the Cursor buttons ( ^ ) ( down ) and enter the rows- ( m ) and number of columns- ( n ) , e.g. [ 3 ] [ EXE ] [ 3 ] [ EXE ] [ EXE ] for a 3 x 3 Mat...

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15 Calculations with Matrices Arithmetic operations on Matrices By pressing the [ OPTN ] key and [ F2 ] , the arithmetic operations for the matrices will be shown, and can be selected, e.g.: – Determinant of Matrix A: [ OPTN ] [ F2 ] ( ...

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16 Numerical Equation Solver The “Equation”- application is used for the numerical solving of equations. Three types of equations can be solved: – ( Uniquely solvable ) Linear Equation systems with 2-5 Unknowns. – Polynomial equations 2-...

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17 GRAPH- Application overview: Menu The Graphic application is for the graphical representation of functions and their investigation. It has two main windows: the Graphic editor to enter the function terms, and the Graphic window to show graphs of...

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18 SETUP/Save Images SETUP of Graphic Windows Basic settings for the graphical representation: Angle: Square set Grid: Show or hide grid Axes: Show or hide coordinate axes Derivative: Display the derivative in the graphics window D...

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19 The Graphics Window Inside the Graphics window, lies a variety of opportunities to display and also graphically analyse functions. Represent the function graphs of a selected function term using [ F6 ] TRACE [ F1 ] Follow a term using the...

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20 TRACE [ F1 ] With the TRACE-function ( follow ) , graphs can be “expired”, e.g. for a first overview on a graph. Additionally, you can put special items together into a table of values using the TRACE- function. TRACE [ F1 ] Select t...

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21 ZOOM [ F2 ] The points to set the Graphics window are found under the Menu item ZOOM. In addition to the ZOOM- tools ( e.g. Box ) there are preferences that can be helpful. BOX [ F1 ] With this function, an area can be selected and increase...

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22 V-WIN [ F3 ] The Graphic window can be set to varied, in order to optimize the representation of the Graphs. Preferences help to quickly achieve early results. Preferences [ F1 ] [ F2 ] [ F3 ] INIT Default setting. The aspect ratios...

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23 SKETCH [ F4 ] In the SKETCH-Menu, various utility lines are generated. Overview of the SKETCH-Menu Delete sketches: Cls ( Clear Screen ) [ F1 ] Delete guides and calculated content area. Tangent: Tangent [ F2 ] [ F2 ] and with the Curs...

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24 G-SOLVE [ F5 ] Example Determine zero: ( evtl. [ SHIFT ]) [ F1 ] ( Root ) . The numbers are calculated in one screen exploiting the zero dividend. Using the ( < )( > ) keys, the links will lie further to the right zeros ca...

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25 Further possible options in the G-SOLVE mode. Y-CAL [ F1 ] Y-value calculated ( X-value is called and the command is queried. ) X-CAL [ F2 ] Y-value calculated ( X-value is called and the command is queried. ) Integral ∫dx [ F3 ] Integral ...

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26 Curves With the representation of curves, the influence of parameters are explained in a function. In the DYNA- application, families of curves can be dynamically represented ( see page 32. ) Curves Should be shown, for example, the function...

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27 Functions with Parameters Functions with Parameters do not necessarily have to work with defined constants, but can modify the graphics window directly. Modify Parameters If a function parameter is selected, then the representation of the func...

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28 Image Plotter – Working with Images With the “Image Plotter”- application, the images or image sequences can be mathematically analysed. Images and image sequences are located in large numbers on the calculator. Image plot- application ...

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29 Image Plotter – Analyse Images Images can now be analysed- Points can be drawn and evaluated. Points, “Plotting” If the image is loaded, it allows the coordinate system to be adjusted with the Cursor keys. [ OPTN ] For further comman...

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30 Create Screenshots ( Internal Use ) In the Image plotter- application, self- created screen shots can also be used. Store Graphics The screenshots in the Image plotter- application can be used; the CASIO-Format must be created. The images are s...

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31 The Table- Values Application The TABLE- application is used to create tables of values. The function terms in the Graphic editor are entered into the Value table application ( vice versa ) Entries of the Function Terms The Entry window is si...

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32 The DYNA- Application In the DYNA-Application, function graphs can be displayed dynamically. The input window is similar to the Graphics application. Input Input the function terms with variables. For the dynamic representation of function graph...

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33 In the DYNA- application, similar to the Graphics application, background images can be saved. Representation In the overview window ( VAR ) with [ F6 ] ( DYNA ) , the graph are shown. Since initially all the graphs are calculated, the pro...

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34 STAT- Statistics application In the Statistics application, Data in lists can be entered and ( graphically ) evaluated. A description of the columns is possible. Example: a Transcript of class work Note ( Feature ) 1 2 3 4 5 6 Number ( Expr...

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35 Evaluation of the Histograms The statistical parameters and for instance, the mean ( X - ) , the sum of the squares of data ( ∑x2 ) or the standard deviation ( σx ) are shown using [ F1 ] ( 1-VAR ) Instructions for editing Lists Fo...

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36 Regression With the given or calculated data, it is possible to create the Regression and determine the function terms. Note ( Feature ) 0.5 1 1.5 2 Number ( Expression ) 1,58 3,26 4,84 6,38 Regression Data is given in the list. It is useful, ...

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37 Binomial Distribution Example: Simulation of a cube experiment Calculate the probability that at the 30th dice roll: a ) 5-times b ) X-times a 6 is rolled. Assistant to Calculate the Binomial Distribution In the Statistics- application, t...

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38 Binomial Distribution Example: Simulation of a cube experiment Calculate the probability that at the 30th dice roll: a ) 5-times b ) X-times a 6 is rolled. Proposed Solution for b ) X={1,2,...30} ( Number of rolls ) ; N=30 ( Number o...

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39 The Spreadsheet The Main Window Using the Spreadsheet, a FILE can be created ( NEW ) , opened ( OPEN ) or saved ( SAVE-AS ) . In the cells, values, test or formulae can be entered. Cell contents can be copied and pasted into another cell, ...

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40 The Spreadsheets SETUP When a formula contains an error, there will be an error message next to the re-calculations. The automatic re-calculation can be turned off in the SETUP with Auto Calc: Off In order for more decimal places to be shown, o...

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41 The Spreadsheets New possibilities are given in the spreadsheet with the new colour display. Cells, values and also the graphs can be tinted. Settings-FORMAT Standard is the monochrome display of values and graphs. Select the cell that you wou...

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42 The eActivity application Interactive worksheets can be created from the eActivity application. Different work areas can be linked and extensive tasks can be documented in the eActivity application. The main window First, an eActivity- data fi...

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43 The eActivity application To provide Strip with Title After inserting an application strips, these can be provided with a Title. To open the application ( Strips ) : press [ EXE ] using [ SHIFT ] [ --> ] the application ( the Strip...

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44 Screenshots/Creating Bitmaps ( PC use ) As the CASIO fx-CG20 can work as a USB- mass storage, images can be Drag&Dropped to transfer to a PC. Default settings- LINK application In the Link- application, the Image-transfer must be activated....

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45 Data Transfer- Computer to Computer Programmes, eActivities, Add-Ins, etc. can be transferred from computer to computer. Data transfer- computer to computer Connect two computers with 3Pin-cable. Open Link-application: set cable type to 3Pin-ca...

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46 Description Command Syntax Function Sequence Absolute value of the number X. Abs X [ OPTN ] [ F8 ] ( t ) [ F4 ] ( NUM ) [ F1 ] Number of items in list X Dim List X [ OPTN ] [ F1 ] ( LIST ) [ F3 ] Binomial coefficient Number nCr...

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47 Description Command Syntax Button Sequence Round the number X. Rnd X [ OPTN ] [ F6 ] ( t ) [ F4 ] ( NUM ) [ F4 ] Standard deviation of the elements of list N with the frequency list M. The default value for M is 1. Std Dev ( List...

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48 Notes ...

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49 Notes ...

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50 Index History Memory ......................................................... 10 Absolute references ( TK- application ) ......................... 39 ALPHA- Button ............................................................ 4 Applications ....

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51 Index Median ...................................................................... 35 MENU ......................................................................... 7 Minimum ( Graphics application ) ................................ 24 Aver...

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