IN THE SCIENCE CLASSROOMGRAPHING CALCULATORSNew York, New York Columbus, Ohio Woodland Hills, California Peoria, IllinoisGLENCOEMcGraw-Hill
The graphing calculator skills you will develop in the following pages canbe used in a variety of courses in the mathematics curriculum. The chartbelo
7Graphing Calculator CapabilitiesCasio SharpCapabilityfx-7700GEHP 38G EL-9200C TI-81 TI-82/83 TI-92Evaluate numerical expressions ✓✓ ✓ ✓✓✓Perform oper
As with any new acquaintance, you need time toget to know your graphing calculator. Beforebeginning any specific task, look at the keyboard.Think of s
In the keystroke sequences in this booklet, thesefunctions are shown using the appropriate access keyand the function name rather than the actual keyp
10How do I know what’s on each menu?The TI calculators and Casio fx-7700GE have manyfunctions that are accessed by using menus (lists ofoptions) and m
All graphing calculators observe the order of operations when evaluating amathematical expression. The calculators also have parentheses that are used
MODECasio fx-7000GE: Pressing 5once accesses the first menu screenshown below. Pressing 5again accesses thesecond screen. To make a selection on eithe
13WINDOWXmin = –5Xmax = 5Xscl = 1Ymin = –6Ymax = 6Yscl = 1Xres = 1TI-83Type of notation for displayNumber of decimal places displayedType of angle mea
A graphing calculator is a powerful tool for studying functions. Any of thegraphing calculators will graph functions, but the procedure for graphing i
2 Graph y 16x2 11 so that a complete graph is shown.First graph on a standard viewing window.Casio fx-7700GE:gm16 ?›+11 eTI-81:Ym16 |›+11 GTI-82/83
Technology ConsultantsChristine A. Lucas Jill Baumer-PiñaMathematics Teacher Former Program AssistantWhitefish Bay High School The Ohio State Universi
You can use a graphing calculator to find approximations of the coordinates ofpoints on the graphs of functions. These coordinates can be found with g
Box Zoom Another method of zooming in that is available on the Casio fx-7700GE and the TI calculators is box zoom. With box zoom, thecalculator prompt
Zoom In and A third method of zooming in and out, which uses factors, is available on Zoom Out each graphing calculator. With zooming by factors, the
You can use a graphing calculator to graph and solve systems of equations sinceseveral equations can be graphed on the screen at one time. Graph the r
2 Graph the system of equations y –x3 3x2 9x and y –x2 10x 25.Determine the coordinates of the intersection point(s).Try graphing in the stan
The Casio fx-7700GE and TI calculators allow you to graph inequalities on thegraphics screen. The procedures for graphing inequalities on a Casio fx-7
2 Graph y x3 6x2 8.Be sure to clear the graphics screen before graphing. Press S3eon the Casio fx-7700GE. Press ‹Î1 éon the TI since thedraw menu
You can graph and solve a system of inequalities on a graphing calculator. Whengraphing on a Casio fx-7700GE, you will use the colon to separate thein
The graphing calculator can be used to solve inequalities by shading the area onthe graph that makes the inequality true. To use this method, let each
A rational function is one in which one polynomial is divided by another, or in mathematical terms, f(x) where q(x) 0. Rational functions usually
IntroductionAn Introduction to Graphing Calculators ...1Using Graphing Calculators in Cooperative Learning ...
TI-81:Y(2 |+3 )/(|-1 )GTI-82/83:Y(2 [+3 )/([-1 )GFirst find the vertical asymptote by tracing along the graph and observingthe x-values near the disco
You can use a graphing calculator to graph various kinds of radical functionsquickly and easily. To graph a radical function on the Casio graphing cal
You can use a graphing calculator to graph relations; however you must do somealgebra before you graph. A graphing calculator will only graph function
2 Graph the circle whose equation is x2 y2 16. Solve the equation for y.x2 y2 16y2 16 x2Subtract x2from each side.y 16x2Take the squar
A graphing calculator is a good tool for exploring the graphs of trigonometricfunctions and their inverses. Since a graphing calculator is capable of
Graphing calculators can also graph the inverses of trigonometric functions. 3 Graph y Arccos x.Casio: Arcsin, Arccos, and Arctan are also built-in
A graphing calculator can be used to graph exponential and logarithmicfunctions just as it is used to graph other types of functions. Even functions t
Graphing calculators can be used to graph logarithmic functions with base 10 orbase e. If you wish to graph a logarithmic function with another base,y
You can use the graphs of two linear functions to solve an equation like 3x 6 5x 2. For the first function, let y one side of the equation. For
A quadratic equation is an equation in the form of Ax2 Bx C 0, where A 0. The solutions for this type of equation can be estimated by graphing
Using Programs...62Plotting Points in a Relation...63Solving a System of Lin
3 Solve 10x2 51x 65 0.Graph y 10x2 51x 65 0.The graph appears to intersect the x-axis at a single point between 2 and 3.Zoom in on the poi
A family of graphs is a group of graphs that displays one or more similarcharacteristics. Many linear functions are related because they have the same
Quadratic functions whose graphs are parabolas can be written in the form y k a(x h)2, where (h, k) represents the coordinates of the vertex of
You can use the graphing calculator to estimate the zeros and the relativemaximum and minimum points of a polynomial function. First you must graphthe
2 Approximate the maximum, minimum, and zeros of y 2x3 x2 5x 3to the nearest hundredth.First graph the function.The graph appears to have a rela
You can use a graphing calculator to solve a trigonometric equation in the sameway you have used it to solve linear equations, quadratic equations, an
TI-81TI-81You can use a graphing calculator to determine whether an equation may be atrigonometric identity by graphing each side of the equation as a
TI-81TIYou can use a graphing calculator to solve equations involving logarithms andexponents just as you have used it to solve other types of equatio
Graphing calculators make many of the tedious paper-and-pencil operations with matrices quick and simple. Each calculator has different matrix capabil
45If the matrix you chose has the same dimensions as the matrixyou wish to enter, press étwice. Element 1, 1 (row 1,column 1) is highlighted. Enter th
The graphing calculator offers you much moreflexibility in studying graphs than can be obtainedby paper and pencil graphing. Within seconds youcan gra
The graphing calculator has simplified the tasks of finding determinants andinverses of matrices to the pressing of only a few keys. 1 Find the determ
47Other operations with matrices that can be done with a graphing calculatorinclude scalar multiplication, multiplying two matrices, squaring a matrix
In addition to graphing, graphing calculators are capable of doing intricatecomputations, including finding statistical values for a set of data. The
‹ _ ª éAccesses the data edit option.51 ééé40 éé58 ééand so on 47 ééTI-82/83: Data is entered individually into a list. Before you enter newdata, clea
2 Find the median of the test scores listed below on a TI calculator.82 91 74 78 94 68 74 88 64 4272 82 79 99 98 75 61 78 86 69Only the Casio fx-7700G
A graphing calculator is capable of drawing statistical graphs as well as graphs offunctions. The Casio calculator must be placed in statistical graph
Casio fx-7700GE: 102.5 £3 ¡117.5 £7 ¡132.5 £15 ¡147.5 £34 ¡and so on 252.5 £4 ¡geDraws the graph.TI-81:‹_Enters the statistical menu.ªéChooses the dat
Casio fx-7700GE: 84 ¡120 ¡78 ¡89 ¡and so on115 ¡geTI-81: The calculator also enters 1 as the second value of the data pairautomatically, so you can pr
Graphing calculators are capable of drawing scatter plots and lines of regressionfor data that you enter into the memory. Once the line of regression
Casio fx-7700GE: 9 £89 ¡6 £76 ¡and so on 30 £63 ¡TI-81:‹_ªéChooses the data edit option.9 é89 é6 é76 éand so on 30 é63 éTI-82/83:_éChooses the data ed
Casio CalculatorsThere are several different Casio graphingcalculators. There is also more than one modelavailable within each number series of calcul
Some sets of data do not display a linear pattern when plotted on a scatter plot. A set of data that is fit best by a curve is called curvilinear data
First set the range parameters. A viewing window of [0, 225] by [0, 275]with scale factors of 25 for both axes is appropriate.Next, set your calculato
On the TI calculators, the equation of the regression curve is y 4.721 1.02x, where a A, and b xB. Pressing JV¶¶2 éon the TI-81 and JV5 ¶¶2 éo
Now draw the scatter plot on the regression curve or line.Casio:É º g S H1 eTI-81:‹_¶2 é‹_5éYV¶¶4 G‹_¶2 éTI-82/83:_¶⁄BéYÇClears the exponential equati
You can use a graphing calculator to find permutations and combinations and togenerate random numbers. These capabilities are useful in finding probab
3 What is the probability that two cards drawn at random from a standarddeck of 52 cards are both hearts?P(two hearts) Casio fx-7700GE:(13 £2 )/(52 £
Like larger computers, a graphing calculator can be used to write and run programs. The programsthat follow will run on the TI-82 and the TI-83calcula
Plotting Points in a RelationThe following program will plot the points in a relation.Name = PLOTPTS:Fn OffDeactivates all current functions.:ClrDraw
Using the Quadratic FormulaThe following program will find the solutions to a quadratic equation using thequadratic formula. The solutions will be giv
Using the Law of CosinesThis program finds the measure of a side of a triangle using the law of cosines. Inthe program, A is the measure of the missin
Sharp CalculatorsThe Sharp EL-9200C and EL-9300C graphingcalculators have an equation editor feature thatallows you to enter an expression exactly the
Inner and Cross Products of VectorsProgram 6 can be used to find the inner product of two vectors in a plane or inspace. The program will indicate tha
Sum of a SeriesThe following program will find the sum of the first n terms of an arithmetic orgeometric series. You will enter the type of series, th
Graphical Iteration This program will perform graphical iteration of a logistic function, which is ofthe form f (x) ax(1 x). Press é for values an
Generating Random NumbersThe following program will generate random numbers between two values. Youinput the seed number, which determines the way in
Area Between Two CurvesThe following program will approximate the area between the graphs of twofunctions by dividing the region into rectangles. Stor
Mickey MouseThe following program will draw a picture of Mickey Mouse. The program waswritten by Ryan Kovacik, a sophomore at Strongsville High School
Casio fx-7700GE73Trace • ZoomPlot LineClsCoordF 1 F 2F 3F 4 F 5F 6SHIFT ALPHA EXIT MENUA -LOCK QUIT SET UPG T Graph RangeM Dispd/dx rCAPA ;G-dx :REPL
HP 38G74+–x –1 x2 ex xy –x x PLOT SYMBSETUP38GNUMLIBVIEWSMODESANSWERASINABGHI JCDEFRNQMPLOKVUTSZYXWACOSCHARSLISTa...zMATRIXCLEARCANCELOFF PROGRAMNOT
Sharp EL-9300C7510(–)4567 89ON((23+ –+–Scientific calculatorJUMPSOLVER OFFsin–1 A cos–1 B tan–1 C 10x Ex –1 D e x FCOMMANDAUTOOPTIONA-LOCK INS
TI-81762nd INS DELY RANGE ZOOM TRACE GRAPHALPHAA-LOCKX|T MODEMATHTEST AMATRXSTAT BPRGMDRAW CVARSY-VARSCLEAR1ABS DSINSIN1 ECOSCOS1 FTA
TI-8277QUIT INSX,T,STAT[ RUn-1 OVn-1 P n QL3 RCL X2nd MODE DELY WINDOW ZOOMTblSet CALC TABLETRACE GRAPHALPHAA-LOCK LINK LISTMATHTEST
TI-8378QUIT INSX,T,,nSTAT[ Ru O v P w QL3RCL X2nd MODE DELY= WINDOWZOOMTBLSET FORMAT CALC TABLETRACE GRAPHALPHAA-LOCK LINK LI
TI-9279F8F7F6F5F1F2F3F4QONAWZSEXDRCSTOFTVGYBHUNJIMKO PL102•3()ENTER748596SIN(LNMODECOS)TAN,ENTER2ndAPPSY=ESCQUITCLEARENTERSIN-1COS-1TAN-1e{}
SHIFT menusF1: TRC TRACE functionF2: ZM ZOOM menuF3: PLT Plot functionF4: LIN Line functionF5: CLS Clears the graph screenF6: CRD Displays graph coord
ZOOM Menu1: Box Defines a section of graph for zooming2: Zoom In Magnifies graph around the cursor3: Zoom Out Views more of the graph around thecursor
ALPHA, 9Arccos, Arcsin, Arctan, 31asymptote, 25–26, 33, 43BOX ZOOM, 17, 19CALC menu, 34, 36, 40Casio, 4, 7, 11–61, 73, 80circle, 29, 66CLEAR, 9, 48, 5
Cooperation is part of the real world at all levels,whether it be among nations, with co-workers, withneighbors, with your community, or within yourfa
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