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Function Graphing Software
GRAPES 6.75
(GRAph Presentation & Experiment System)
for Windows NT, 2000, XP, Vista

GRAPES (GRAph Presentation & Experiment System) allows you to draw the graphs and the loci of most of the functions which appear in the upper secondary school curriculum, and to analyze them from diverse aspects.

Last Update 8/9/2010

• Release of the English version 6.75 (22/12/2009)
• Release of the English version 6.71 (16/02/2009)
• Release of the English version 6.70E (12/02/2009)
• Release of the English version 6.62E (26/10/2008)
• Release of the English version 6.62D (27/09/2008)
• Release of the English version 6.60 (06/05/2008)
• Release of the English version 6.52 (27/05/2007)
• Release of the English version 6.51 (28/04/2007)
• Release of the English version 6.50 (27/12/2006)
• Release of the English version 6.48 (22/03/2006)
• Add a document about GRAPES (21/11/2005)
• Release of the English version 6.45 (11/10/2005)
• Release of the English version 6.40 (20/2/2005)
• Release of the Spanish version 6.21 (18/1/2005)
• Release of the version 6.37 (15/11/2004)
• add a counter (13/09/2004)
• a little modification of this page (21/06/2004)
• Release of the English version (6.32en; 10/03/2004)
• Release of the User's manual in English (26/11/2003)
• Release of the English version (6.22en; 19/07/2003)

Related Documents

• The Educational Potential of Friendly Graphing Software: The case of GRAPES (PDF: 532KB)
  Prof. Abraham Arcavi (Weizemann Institute - Israel) wrote a report about the use of GRAPES in mathematics teaching and learning during his stay at CRICED - University of Tsukuba in Japan.

Appearance of GRAPES Understanding by looking Taylor series Fourier series Understanding by moving Minimax of a quadratic Properties of parabola Composition of harmonic oscillation Slope of tangent Move using mouse Translation by vector Parabola through three points Special graphs Lemniscate (rectangular coordinates) Lemniscate (Polar coordinates) Lemniscate (conditional expression)

Locus Cycloid Area of Cycloid Hypotrochoid Directrix and Parabola Polar equation Locus and Ellipse / Hyperbola Folium Region by inequalities Circle and line Family of curves Parabolic Group Asteroid Scripts Recurrence formula Billiard in the ellipse

Application to the probability and statistics Probability of dice Binomial distribution Application to the geometry Diagonales of the regular polygon of 18 sides Three centers of the triangle (Euler line) Simpson line and envelope Application to vectors Decomposition of vector Vector Equation Various transformation Map on the complex plane (w = z2) Map on the complex plane (w = z4) Linear tranformation Inputting expressions Scientific Calculator

You can download the files of these examples.

1. Drawing various graphs
   • Graph of function
   • Graph of relation (equation/inequality)
   • Region defined by inequalities
   • Parametric curve
   • Graph of polar equation
   • Circle, point, segment, polygon, line, vector, rectangle.
     
2. The graphs of most of the functions encountered at the high school level can be drawn (calculation of limit value is not supported, but Σ is available)
   Expressions can be input as we normally write them down.
   • You can miss the multiplication sign.
   • Powers, roots, and fractions are displayed as usual.
   • If an expression looks ambiguous, you can immediately find how GRAPES interprets it.
     
3. Dynamic graph by increasing or decreasing of parameters and dragging of point
   • You can move a graph in real time.
   • You can draw a family of curves by parameter change and using after image.
   • Particular graph can be manipulated independent of others.
     
4. Vector
   • Vectors can be manipulated as an object, not in terms of their components.
   • Grapes supports vector operations (sum, subtraction, multiplication by real number, inner product)
   • Many geometric problems can be tackled by vectors.
     
5. You can process simple program by using script.
   • Script extends GRAPES' potentialities.
   • The examples which can be used immediately are provided for approximate integration, equation solving, and some probability problems, etc.
     
6. Tools for analyzing graphs
   • Zoom in or out, and displacing graphs
   • Function value and definite integral windows
   • Showing expression and coordinates with the cursor
     
7. For the presentation
   • You can freely mark on the screen with Marking Pen.
   • You can change font size.
     
8. You can add caption wherever you wish.
   • Captions (notes, labels) can include letters, expressions, and values.
   • Various font formats are available. You can also use vector notation.
     
9. Additional functionalities: print, save, load, changing background paper, etc.
   • It's easy to paste an image made by GRAPES to another document, such as when word processor.
     
10. Simple and intuitive manipulation with mouse and the menu buttons.
    • GRAPES' architecture is based on the idea that the steps of manipulation should be as few and as simple as possible.
    • Many functionalities are embedded in simple interfaces.
      
11. Variety of readily useable examples for many aspects of GRAPES is given.
    • Open the examples, you will recognize the potentiality of GRAPES.
    • You can use these examples in the classroom with necessary changes to fit your purpose.
      
12. This is free software.
    

How to extract ?

• The file is self-extracting file. After downloading, this file will be extracted by double-clicking on the downloaded file. Avoid extracting on floppy disks.
• The extracted files will automatically be added to the "GRAPES" folder, the latter folder is also created automatically. You can move this folder anywhere you want.

How to start ?

• Double-click the file "grapes.exe". Making a shortcut on the desktop would be useful.
  
• It is possible to put GRAPES on a floppy disk and export it to another machine. It is recommended that the software is copied to the hard disk before using it.

User's Manual

• GARPES does not have help file. Instead of this, use this HTML manual.
  
• GRAPES' syntax, restriction, manipulation, etc. are explained in this manual.
  
• You can download this manual with GRAPES.
  

Links

The computer is a strong tool for mathematics teaching and learning. More examples for classroom teaching could be a welcome addition to GRAPES resources. So please send your links to grapes@criced.tsukuba.ac.jp, and we add it to this page.

• To japanese page

Copyright, copy, distribution, ...

Copyright

Copyright of GRAPES and this manual belongs to Katsuhisa TOMODA.

• Copyright of the data or the images made by the users with GRAPES belongs to the users.

• Grapes.exe is translated by Masami Isoda, Takeshi Miyakawa, Houssein Zand, Yasuyuki Iijima, Katsuhisa Tomoda.
• Manual and Samples are translated by Masami Isoda, Takeshi Miyakawa, Houssein Zand, Hiroki Yahara, Masaru Sanuki and Abednego Sam Mbatha.
• This page is translated by Takeshi Miyakawa, Katsuhisa Tomoda, Houssein Zand.

Copy, distribution, and use

GRAPES is a free software. You can freely copy, distribute, and use this. But no modification of the contents is allowed.

Contact

This page is managed by Masami Isoda and hosted at CRICED (criced.tsukuba.ac.jp). For further questions or comments on the English version of GRAPES, please send e-mail to grapes@criced.tsukuba.ac.jp.