Casio FX-8700G Manuel du propriétaire

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IN THE SCIENCE CLASSROOM
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New York, New York Columbus, Ohio Woodland Hills, California Peoria, Illinois
GLENCOE
McGraw-Hill
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Page 1 - IN THE SCIENCE CLASSROOM

IN THE SCIENCE CLASSROOMGRAPHING CALCULATORSNew York, New York Columbus, Ohio Woodland Hills, California Peoria, IllinoisGLENCOEMcGraw-Hill

Page 2 - Technology Consultants

The graphing calculator skills you will develop in the following pages canbe used in a variety of courses in the mathematics curriculum. The chartbelo

Page 3 - Table of Contents

7Graphing Calculator CapabilitiesCasio SharpCapabilityfx-7700GEHP 38G EL-9200C TI-81 TI-82/83 TI-92Evaluate numerical expressions ✓✓ ✓ ✓✓✓Perform oper

Page 4 - Templates

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

Page 5 - Calculators

In the keystroke sequences in this booklet, thesefunctions are shown using the appropriate access keyand the function name rather than the actual keyp

Page 6 - Hewlett Packard Calculators

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

Page 7 - Texas Instruments Calculators

All graphing calculators observe the order of operations when evaluating amathematical expression. The calculators also have parentheses that are used

Page 8

MODECasio fx-7000GE: Pressing 5once accesses the first menu screenshown below. Pressing 5again accesses thesecond screen. To make a selection on eithe

Page 9 - Learning

13WINDOWXmin = –5Xmax = 5Xscl = 1Ymin = –6Ymax = 6Yscl = 1Xres = 1TI-83Type of notation for displayNumber of decimal places displayedType of angle mea

Page 10

A graphing calculator is a powerful tool for studying functions. Any of thegraphing calculators will graph functions, but the procedure for graphing i

Page 11

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

Page 12 - Calculator

Technology ConsultantsChristine A. Lucas Jill Baumer-PiñaMathematics Teacher Former Program AssistantWhitefish Bay High School The Ohio State Universi

Page 13

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

Page 14

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

Page 15 - 1 Evaluate

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

Page 16 - Mode and Range

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

Page 17 - TI-82 TI-83

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

Page 18 - Functions

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

Page 19 - 3 Graph y  x

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

Page 20 - Trace and Zoom

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

Page 21

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

Page 22

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

Page 23 - Systems of Equations

IntroductionAn Introduction to Graphing Calculators ...1Using Graphing Calculators in Cooperative Learning ...

Page 24

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

Page 25 - Inequalities

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

Page 26 - 2 Graph y  x

You can use a graphing calculator to graph relations; however you must do somealgebra before you graph. A graphing calculator will only graph function

Page 27 - Systems of Inequalities

2 Graph the circle whose equation is x2 y2 16. Solve the equation for y.x2 y2 16y2 16  x2Subtract x2from each side.y 16x2Take the squar

Page 28 - 4 Solve 7

A graphing calculator is a good tool for exploring the graphs of trigonometricfunctions and their inverses. Since a graphing calculator is capable of

Page 29 - Rational Functions

Graphing calculators can also graph the inverses of trigonometric functions. 3 Graph y  Arccos x.Casio: Arcsin, Arccos, and Arctan are also built-in

Page 30 - The asymptote may not

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

Page 31 - Radical Functions

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

Page 32 - Quadratic Relations

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

Page 33 - Subtract x

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

Page 34

Using Programs...62Plotting Points in a Relation...63Solving a System of Lin

Page 35 - 4 Graph y  sin

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

Page 36 - 3 Graph y  ln x

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

Page 37 - 5 Graph y log

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

Page 38

You can use the graphing calculator to estimate the zeros and the relativemaximum and minimum points of a polynomial function. First you must graphthe

Page 39 - 2 Solve x

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

Page 40 - 5 Solve x

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

Page 41

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

Page 42

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

Page 43

Graphing calculators make many of the tedious paper-and-pencil operations with matrices quick and simple. Each calculator has different matrix capabil

Page 44

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

Page 45 - 1 Solve tan x  sin x

The graphing calculator offers you much moreflexibility in studying graphs than can be obtainedby paper and pencil graphing. Within seconds youcan gra

Page 46 - 2 Determine whether cot

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

Page 47 - 1 Solve

47Other operations with matrices that can be done with a graphing calculatorinclude scalar multiplication, multiplying two matrices, squaring a matrix

Page 48 - Entering Matrices

In addition to graphing, graphing calculators are capable of doing intricatecomputations, including finding statistical values for a set of data. The

Page 49

‹ _ 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

Page 50 - [.25 –.125]

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

Page 51

A graphing calculator is capable of drawing statistical graphs as well as graphs offunctions. The Casio calculator must be placed in statistical graph

Page 52 - Statistical Computations

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

Page 53

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

Page 54

Graphing calculators are capable of drawing scatter plots and lines of regressionfor data that you enter into the memory. Once the line of regression

Page 55 - Histograms

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

Page 56

Casio CalculatorsThere are several different Casio graphingcalculators. There is also more than one modelavailable within each number series of calcul

Page 57

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

Page 58

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

Page 59

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

Page 60 - Curve Fitting

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

Page 61 - Regression curve (Casio)

You can use a graphing calculator to find permutations and combinations and togenerate random numbers. These capabilities are useful in finding probab

Page 62

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 £

Page 63 - Regression line (TI)

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

Page 64 - Probability and Combinatorics

Plotting Points in a RelationThe following program will plot the points in a relation.Name = PLOTPTS:Fn OffDeactivates all current functions.:ClrDraw

Page 65 - C(52, 2)

Using the Quadratic FormulaThe following program will find the solutions to a quadratic equation using thequadratic formula. The solutions will be giv

Page 66 - Programs

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

Page 67 - Plotting Points in a Relation

Sharp CalculatorsThe Sharp EL-9200C and EL-9300C graphingcalculators have an equation editor feature thatallows you to enter an expression exactly the

Page 68 - Using the Quadratic Formula

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

Page 69 - Using Heron’s Formula

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

Page 70 - Calculates the inner product

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

Page 71 - Sums in Summation Notation

Generating Random NumbersThe following program will generate random numbers between two values. Youinput the seed number, which determines the way in

Page 72 - Mandelbrot Set

Area Between Two CurvesThe following program will approximate the area between the graphs of twofunctions by dividing the region into rectangles. Stor

Page 73 - Evaluating a Function

Mickey MouseThe following program will draw a picture of Mickey Mouse. The program waswritten by Ryan Kovacik, a sophomore at Strongsville High School

Page 75 - Mickey Mouse

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

Page 76

HP 38G74+–x –1 x2 ex xy –x x PLOT SYMBSETUP38GNUMLIBVIEWSMODESANSWERASINABGHI JCDEFRNQMPLOKVUTSZYXWACOSCHARSLISTa...zMATRIXCLEARCANCELOFF PROGRAMNOT

Page 77 - Casio fx-7700GE

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

Page 79 - Sharp EL-9300C

TI-81762nd INS DELY  RANGE ZOOM TRACE GRAPHALPHAA-LOCKX|T MODEMATHTEST AMATRXSTAT BPRGMDRAW CVARSY-VARSCLEAR1ABS DSINSIN1 ECOSCOS1 FTA

Page 80 - TEXAS INSTRUMENTS

TI-8277QUIT INSX,T,STAT[ RUn-1 OVn-1 P n QL3 RCL X2nd MODE DELY  WINDOW ZOOMTblSet CALC TABLETRACE GRAPHALPHAA-LOCK LINK LISTMATHTEST

Page 81 - WINDOW ZOOM

TI-8378QUIT INSX,T,,nSTAT[ Ru O v P w QL3RCL X2nd MODE DELY= WINDOWZOOMTBLSET FORMAT CALC TABLETRACE GRAPHALPHAA-LOCK LINK LI

Page 82 - STAT PLOT

TI-9279F8F7F6F5F1F2F3F4QONAWZSEXDRCSTOFTVGYBHUNJIMKO PL102•3()ENTER748596SIN(LNMODECOS)TAN,ENTER2ndAPPSY=ESCQUITCLEARENTERSIN-1COS-1TAN-1e{}

Page 83

SHIFT menusF1: TRC TRACE functionF2: ZM ZOOM menuF3: PLT Plot functionF4: LIN Line functionF5: CLS Clears the graph screenF6: CRD Displays graph coord

Page 84 - Menus: TI-82/83

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

Page 85 - Menus: TI-81

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

Page 88

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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