These resources were written by Derek Smith with the support of CASIO New Zealand. They may be freely distributed but remains the intellectual property of the author and CASIO.

This resource was written by Derek Smith with the support of CASIO New Zealand. It may be freely distributed but remains the intellectual property of the author and CASIO.

Select GRAPH icon (press 5) from the

main menu or by using the arrow keys to

highlight and then press EXE.

Turning a 2-D image into 3-D will have an awesome effect in enhancing the learning and understanding of graphing, along with the students having fun making them!

Once entered in the Graph icon, go into SETUP [SHIFT] [MENU]. Here you can alter a range of settings for the calculator, we want the Grid ON. Scroll down to Grid being highlighted and then press [F1] then EXIT to return to the graph entry screen.

Enter the function y = x^{2 }into the Y1 space then press [EXE] to store this.

Set up the V-Window: [SHIFT] [F3] to the settings illustrated in the

screensnap on the right. Then [EXIT] and [F6] to draw the graph.

OR

Enter in the Table icon from the MAIN MENU.

Go into [RANG]e, [F5] and set up the domain (x) values as shown in

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Then [EXIT] and [TABL]e [F6] to create the table of co-ordinates then [F5] to draw the graph of y = x^{2}.

This is the template for making the parabolaoid.

You need 14 of these made either by using the CASIO FA122 or FA123 software to capture the graph and then copy 14 times into a word document and print or by making a template on some card and copying this.

See the finished product on the right.

To create the 3-D effect using scissors and the

grid lines as your guide cut slips about 1 mm

wide to ½ way marks, as illustrated.

Repeat the same, as illustrated here.

Now trim four of your templates to this size. Then using

scissors and the grid lines as your guide cut slips about

1 mm wide to ½ way marks.

Trim another four of your templates to this size. Then using

scissors and the grid lines as your guide cut slips about

1 mm wide to ½ way marks.

With the remaining four of your templates. Then using

scissors and the grid lines as your guide cut slips about

1 mm wide to ½ way marks, as illustrated.

Now, fit them all together to make the 3-D parabolaloid. Once constructed it should flatten as shown below.

Questions:

What is the equation of the parabolae that passes through the midpoints of the 4 template sizes that you have made?

[Hint: You only need 3 co-ordinate points to generate the equation vai the STAT icon from the MAIN MENU.]

What is the volume that this shape holds when symmetric?

[Hint: Use integration and solids of revolution in the RUN icon from the MAIN MENU.]

What is the equation of the 3-D shape that would cover this shape?

[Hint: z = f(x,y).]

For further tips, more helpful information and software support visit our website

This resource was written by Derek Smith with the support of CASIO New Zealand. It may be freely distributed but remains the intellectual property of the author and CASIO.

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Select RUN (press 1) from the Main Menu or by

using the arrow keys to highlight and then press EXE.

Some of the functions available as keys are not immediately obvious on a graphics calculator. All can be found via the OPTN key. Below is a table of some commonly used functions and where to found them on the FX9750G+ and CFX9850GC+ graphics calculator models.An example for each is shown.

Function

Key

Location

Example

Factorials

x!

OPTN, F6►, F3 (PROB), F1

Permutations

nPr

OPTN, F6►, F3 (PROB), F2

Combinations

nCr

OPTN, F6►, F3 (PROB), F3

Random Numbers

Ran#

OPTN, F6►, F3 (PROB), F4

Absolute Value

OPTN, F6►, F4 (NUMB), F1

Integer Part of Answer

Int

OPTN, F6►, F4 (NUMB), F2

Fractional Part of Answer

Frac

OPTN, F6►, F4 (NUMB), F3

Rectangular Coordinates to Polar Coordinates

Pol(

OPTN, F6►, F5 (ANGL), F6, F1

Polar Coordinates to Rectangular

Rec(

OPTN, F6►, F5 (ANGL), F6, F2

Radians to Degrees

r

OPTN, F6►, F5 (ANGL), F2(Ensure angle set to degrees)

º

OPTN, F6►, F5 (ANGL), F1(Ensure angle set to radians)

For further tips, more helpful information and software support visit our website

For teachers we currently offer, a large number of classroom ready, resources available are designedprimarily for the CASIO_{®} FX9750G, FX9750G+, CFX9850GB, CFX9850GB+, CFX9850GC+ and FX9750GA+ models of graphical calculators and the ALGEBRA 2.0. There is also a variety of activity sheets designed for the ClassPad 300 models. All of the activities and worksheets are designed for beginners to advanced users of the GC and CAS. More have been added to the website since the last newsletter.