2008 JC1 INTER-CLASS “DESIGNING with the

GRAPHICS CALCULATOR” COMPETITION

Graphics Calculator and Sports

Theme of Competition:

• ALL JC1 classes are required to submit at least ONE icon design using GC (must be individual submission).

• Each design should be related to the given theme.

• The class with the most entries will receive a hamper consisting of attractive prizes.

• ONLY designs produced using equations in the GC will be accepted for this competition.

Win Attractive Prizes

• Stage 1: Short-listing 15 best designs by judges (to represent the college in the Inter-College GC Competition organised by VJC)

• Stage 2: Voting for the 15 short-listed designs by all Pioneers through college portal (voting period to be announced later) to decide top 3 winners

Competition Format

Judging Criteria

• Originality• Creativity• Difficulty• Suitability

Prizes to be Won…

• Graphing Calculator• Movie Vouchers• Book Vouchers• GC Accessories

Winner

Submission of Work•Deadline for Submission:

Thursday 3 July 2008. •Please submit the following as attachments

via e-mail to maths_stw@yahoo.com.sg :– completed entry form (name it as <class_full

name of student>.doc, example 08S01_Tan Ah Kow.doc)

– soft copy of the design (name it as <class_full name of student>.8xi, example 08S01_Tan Ah Kow.8xi). This can be done after downloading the picture from the graphics calculator onto a computer via USB cable and renaming the file.

* Hard copy submissions will not be accepted

To capture the image of your design

• Install TI Connect software using the installation CD provided in your GC package

• Connect your GC to the computer using the TI Connectivity cable provided in your GC package

• Select the icon on the desktop

To capture the image of your design• Select TI ScreenCapture on

• Rename your file name as given in the instructions and change the file type to “.8xi” before submitting your work:

Possible designs using GC

Refer to the following slides for some guiding steps…

To draw the shape of the Fish…

• First, remove the axes by choosing FORMAT then AxesOff

• Key in

• Use VARS for y1, X,T,θ,n for x• To shade the different regions with different

patterns, you may want to overlap some pattern to create new pattern

• For the bubbles, use 2nd DRAW, 9:Circle• For the eye, 2nd DRAW, A:Pen

1

2 1

2sin5

(( 0)( ))4

xy

x x

y y

To shade: use 2nd DRAW and choose 7:

• shade the region above y2, below y1, from x = π/4 to π/2, use pattern number 1, shade every 2 pixels

• for pattern: 1 = vertical line, 2 = horizontal line, 3 = gradient +1 line, 4 = gradient -1 line

• by default, it is the pattern that is all black

2 1( , , / 4, / 2,1,2)shade y y

• to restrict domain and to avoid unwanted line, divided the equation by the domain you want instead of multiply

• Use [WINDOW] to adjust the Xmin, Xmax, Ymin, Ymax to "shift" the picture around the screen

• Try: Xmin=-10, Xmax=10, Ymin=-10, Ymax=10 (this is ZOOM 6;Zstandard)

• Store Pic• Try: Xmin=-20, Xmax=10, Ymin=-

20, Ymax=10

• Use 2nd DRAW, STO, 1:StorePic, key in any number from 0 to 9 to store your picture

• To recall back the picture number 1: Recall pic1 to display pic1 that you stored

• To add on another object to the pic1, you need to draw it onto the current pic1, then restore it again as pic1

• Each time you add an object to the current pic1, you need to store it

• you may draw two patterns overlapping each other to create a new pattern (eg. pattern 1 and 2 give grid pattern)

• to erase unwanted portion in your graph, use 2nd DRAW and choose 0:Text and use the blank key (it will act as eraser)

• to key in text, use 2nd DRAW and choose 0:Text

• ClrDraw :(DRAW) ClrDraw• ZSquare : ZOOM, 5:ZSquare, to set

square grids

You may also draw in polar coordinates.

Go to (Mode) to change to polar coordinates first

cos 2r cos3r

cos 4r The graph cosr n will have n petals

In Polar Coordinates …

You may want to play around with some polar equations:

• r = 3 + cos3θ• r = 1 – sinθ• r = 1 + cosθ• r = 3 + 2 cosθ• r = √(2 cos2θ – 1)• r = 1 + sin2θ• r = 2 – cos2θ• r = √(cot2 θ cosec2θ)• r = 1 – cos(θ/2)

More about Polar Coordinates…

You may refer to the following for more information about polar coordinates:1.Further Pure Mathematics by Brian and

Mark Gaulter: pg 43 – 56(Call No: 510 GAU)2.http://tutorial.math.lamar.edu/Classes/CalcII/P olarCoordinates.aspx3.http://www.analyzemath.com/polarcoordinates/g raphing_polar_equations.html4.http://people.bath.ac.uk/maf20/polarcoords.html

Another example in the next slide…

Who will win e or ?• draw 9 horizontal lines, y1=0/((x>0)(x<8))

y2=1/((x>0)(x<8)),…..y9=8/((x>0)(x<8))• shade the regions accordingly : for example

• remember to ZOOM, 5:ZSquare • key in the texts

1 2( , ,0,1)shade y y

Happy Exploring and hope to see your creative

designs soon…!

Organised by the Mathematics Department

(Jointly sponsored by )