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*** Graphic Technologies now sell Data Projectors ***
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Graphical Times 43, term 3 2012

Graphical Times term 2 2012

Graphical Times Term 1 2012

Graphical Times. 
Volume 10, Issue 40, 2011.

 

Welcome back to the start of term 4!  We hope you have had a restful break – not long to go until December!

 

What’s in here!

Included in this terms newsletter are:

Calculator activities for the Classpad 330+ and Casio graphic calculator

·           Worksheet for the Classpad 330 +:  

·           Worksheets for the FX9750GII and similar models:  

Term 4, 2011 and ‘Back to School’ pricing list. Valid until 29th February 2012, while stocks last.

 


N.B. The 2011 Graphic Technologies Catalogue is available on request.

Please email us: graph.tech@xtra.co.nz to receive your free copy.

 

Graphic Technologies School Price List Term 4, 2011 and ‘Back to School’ pricing until 28th February 2012.

See our hot competitive pricing valid until the end of February 2012.

For the first 10 school orders received from the start of term 4 for orders of  20+ FX9750Gii, there is a free EA-2 Motion Sensor and associated cabling added to your order, RRP $300+GST. See the pricing sheet for more products.

Product

# of Units

Price per unit
(excl GST)

FX9750GII graphic calculator (monochrome) RRP $129.95

1 - 10

$79.50

11 - 19

$78.00

20 +

$75.50

Data projector XJA130 New pricing [Limited supply]

NA

$1425.00

Data projector XJA145 New pricing [Limited supply]

NA

$2000.00

FX82 AU scientific calculator New product!

1 - 9

$20.00

FX82 AU scientific calculator New product!

10 +

$19.00

 

Workshop opportunities.

Workshop opportunities: If you would like to have a workshop for teachers and or students then please make contact with Graphic Technologies. A large number of schools are taking up this opportunity either singularly or as a cluster of schools with both the graphic calculator and the ClassPad330+, to look at how the graphic calculator and CAS could impact on and be integrated into your classroom practices. 

The FX82AU.

Top Schools programme – This programme is for those schools who wish to support and booklist the FX82AU. School who are part of this will get ongoing resources and learning material along with the following when they first sign up:

a.       3 × FX82AUPLUS calculators

b.      FX82AUPLUS Emulator software

c.      Teacher Book “How do I ...on a CASIO FX82AU plus” 

d.      Classroom posters of the FX82AUPLUS calculator

e.      Teaching resources.

The website will be www.casio.edu.monacocorp.co.nz. The following is a general idea of what will be included:

a.         Full specifications on our range

b.         Worksheets for all models – especially the FX9750Gii

c.     Re-sellers of CASIO calculators

d.     FAQ’s

e.     Online booking system for any workshops (Workshops we have listed or requesting a workshop).

Please visit the Casio NZ Education Website at www.casio.edu.monacocorp.co.nz

Brochure on the FX82AU: http://graphic-technologies.co.nz/doc/FX82AU_Brochure.pdf

 

Worksheets downloaded off  the web.

Visit Monaco Corporation or Graphic Technologies website to view and download worksheets. There are links to other informative mathematics education websites too. For teachers we currently offer a large number of ‘classroom ready’ resources available and 
are
designed primarily for the CASIO® FX82AU, FX9750Gii, FX9750G, FX9750G+, CFX9850GB, CFX9850GB+, CFX9850GC+,  


FX9750GA+ and FX9750Gii  models of graphical calculators and the ALGEBRA 2.0.

There is also a variety of activity sheets designed for the ClassPad300, 300+, 330A and 330A+ 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.

Visit: www.casio.edu.monacocorp.co.nz and http://graphic-technologies.co.nz.

 

Websites of interest...

For your mathematical enjoyment! Have you ever had students say to you, "I don’t need math, I’m going to be a musician!" Why not introduce them to world-renowned drummer Ndugu Chancler, who explains why math is essential to music. http://www.thefutureschannel.com/dockets/realworld/the_rhythm_track/index.php

IXL's maths skills are aligned to the 2009 New Zealand National Standards, providing comprehensive coverage of maths concepts and applications. With IXL's national curriculum alignments, you can easily find unlimited practice problems specifically tailored to each learning objective. http://nz.ixl.com/math/years

 

Classpad update.

https://edu.casio.com/download_service/download/category.php

  
A geometrical problem to begin on!

Star polygons are constructed by connecting evenly-spaced points placed on the circumference of the circle. The segments formed must all be the same size. If the chords formed do not cross each other, the figure formed is a regular polygon. If the segments cross each other, the polygon formed is called a star polygon

Click
here for more information on Star polygons


Graphical times term 4 2011

Graphical times term 3 2011

Graphical Times term 2 2011

Graphical Times term 1 2011

Graphical Times Term 2 2010

Graphical Times Term 1 2010


Graphical Times. 
Volume 8, Issue 32, 2009.

Welcome back to term 4!  I hope you have had a restful break and been able to read a few non-mathematical books. We hope you enjoy the read in this terms newsletter. The 11th New Zealand Mathematics Teachers Conference was recently  held in Palmerston North and those who attended I hope that you had an enjoyable 4  (or 5 days) refreshing and recharging for this term, met up with old acquaintances and shared some good teaching stories and practices.

A reminder to the NZAMT11 conference attendees that the conference offers expire 10th October 2009 so be quick! 

The NZAMT logo is an interesting design. See: http://nzamt.org.nz to view it, I am sure that you have this webpage bookmarked anyway!

It looks like this:

The first correct entry received proving that the area of the lune is equal to ½ the area of the right isosceles triangle will receive a free single user licence for the Classpad.

 

Great to see more people are ordering via the website. Again, this term we are offering:

The first 20 schools to purchase via the website this term will receive an ‘extra something’ in their order.

‘Back to skool’ promotions will be released late November 2009 and will be current until 28th February, 2010.

 

What’s in here!

Included in this terms newsletter are:

  • Calculator activities for the Classpad 330+ and Casio graphic calculator.
  • Worksheets for the Classpad 330 +: Geometry- line bisectors and the circumcircle.
  • Term 4 pricing list.

N.B. The Graphic Technologies Catalogue is available on request, please email us @ graph.tech@xtra.co.nz, to receive your copy.

 

Specials for Term 4 promotions.

Graphic Technologies has been able to secure further special pricing on the FX82BU, the Classpad 330+ and the FX991ES.

FX82BU Scientific calculator:

FX82BU scientific calculator (Minimum order is 10)

                                         

Pricing is exclusive GST per unit.

10 - 30

$18.00

31 - 50

$17.00

51 - 100

$16.00

101 - 200

$15.00

200 +

$14.50

Classpad 330+ CAS calculator: Purchase a class set of 30 units - $7000 + GST. ($233.33 + GST per unit).

ClassPad330+

                                          

Pricing is exclusive GST per unit.

1 - 2

$240.00

3 - 5

$238.00

6 - 10

$236.00

11 - 29

$235.00

Class set of 30 special

$7000.00

 

The FX991ES

Graphic Technologies is New Zealands’ sole reseller of this calculator. This calculator has ‘Natural Textbook display’. A NON-PROGRAMMABLE calculator Allowed and recommended for the Cambridge Examinations

FX991ES scientific calculator Promotion (Recommended for Cambridge Examinations)

 

 

 

 

 

 

Graphic Technologies wants you to get your hands on one!

Pricing is exclusive GST per unit.

1 - 2

$80.00

3 - 5

$79.00

6 - 10

$78.00

11 - 29

$74.00

Class set of 30 special

$2190.00

All pricing is valid until 23rd December 2009 or while stocks last!

See the Pricing list above or the Graphic Technologies 2009 catalogue for more details on these calculators.

 

EA-200 Data logger and EA-2 Motion Sensor.

These connect to the graphic calculator or Classpads and as a special NZAMT11 and term 4 promotion we are offering a 50% discount on these two accessories (While stocks last, so be quick!). The EA200 can connect up to 7 graphic calculators or ClassPad330’s for data transfer from probes and motion sensor.

CASIO MOTION SENSOR                           EA200 CASIO DATA LOGGER

Emits Ultrasonic pulses                                                Data Analyser

Detects Pulses returned                                                Includes Temperature, Optical and

Can connect to EA100                                     Voltage Probe

                                                                        Data collection at up to 50,000 points per second

Product

EA-200 Data Logger           

EA- 2 Motion Sensor           

Price (exclusive GST) per unit

$250.00

$250.00

N.B. Both of these models have an RRP of $799.00.

 

Workshop opportunities.

Workshop opportunities, if you would like to have a workshop for teachers and or students then please make contact with Graphic Technologies. A large number of schools are taking up this opportunity either singularly or as a cluster of schools with both the graphic calculator and the ClassPad330+, to look at how the graphic calculator and CAS could impact on and be integrated into your classroom practices.

 

Worksheets downloaded off  the web.

Visit Monaco Corporation’s or  Graphic Technologies website to view and download worksheets. There are links to other informative mathematics education websites too. For teachers we currently offer a large number of ‘classroom ready’ resources available are designed primarily for the CASIO® FX9750G, FX9750G+, CFX9850GB, CFX9850GB+, CFX9850GC+  FX9750GA+ models of graphical calculators and the ALGEBRA 2.0. There is also a variety of activity sheets designed for the ClassPad300, 300+ and 330A 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.

Visit: www.monacocorp.co.nz/casio and http://graphic-technologies.co.nz.

 

Websites of mathematical interest.

The BBC have an excellent radio show on statistics called "More or less". The web page is here: http://news.bbc.co.uk/1/hi/programmes/more_or_less/default.stm. You can download the podcasts from here: http://downloads.bbc.co.uk/podcasts/radio4/moreorless/rss.xml. Recent episodes include interviews with David Spiegelhalter, and topical items on the numbers behind swine flu and the credit crunch.

What’s the fuss about the number 9! http://www.teachertube.com/viewVideo.php?video_id=108197&title=Math_Game_Crazy_9s

http://www.mathopenref Where geometrical constructions are demonstrated with supporting statements.

Rabbits and Wolves: This website http://www.shodor.org/interactivate/activities/rabbits/index.html and associated applet allows you to simulate how nature keeps its balance! It shows how wolves and rabbits would behave in their natural setting.

Associated Interactives are: Lesson on Chaos

Discussion on Chaos

Discussion on how prevalent chaos is in science

Game of Life Activity

Fire! Activity

A Better Fire Activity

Buffon’s Needle Experiment websites: http://www.angelfire.com/wa/hurben/buff.html

http://www-groups.dcs.st-andrews.ac.uk/%7Ehistory/Mathematicians/Buffon.html

http://www.mste.uiuc.edu/reese/buffon/buffon.html

http://www-stat.stanford.edu/~susan/courses/s116/node43.html

http://www.trpl2u.com/pi2_eng.html

 

CASIO Support Classroom E-mail News, What's New.

New Calculator Emulation Software
CASIO has newly announced the following New software
fx-Manager PLUS: FA-9860A Ver.2.0 [Single License]
fx-Manager PLUS: FA-9860B Ver.2.0 [School License]
You can get more information by going through the following CASIO Educational webpage.
http://edu.casio.com/products/peripheral/9860mgr_v20/

Download the latest resources

N.B. You need to use your ID (E-mail address) and your password.

1. ClassPad Handheld OS updater to Version 3.04
2. Program-Link software FA-CP Version 1.02 for ClassPad 330
3. ClassPad Manager updater to Version 3.04
4. ClassPad Font Set for Version 3.04
5. fx-9860G Manager PLUS updater to Version 2.0
Visit the CASIO Educational website/ CASIO Online Service (Downloads) page:
http://edu.casio.com/dl/
[Enter] >> [Accept] >> [Guest]
Select the following item for ClassPad 300 series, and then click [NEXT].
OS Update for Version 3.
Click underlined item to download the file.
Visit the following web page of the features of OS Version 3.04:
http://edu.casio.com/products/classpad/cp_v304/
Program-Link software FA-CP Version 1.02 for ClassPad 330. This installer can be downloaded by going through the following CASIO Educational website.
The Font Set helps you to create documents with certain keys and icons in ClassPad series.
Download the Font Set file and unzip it to fonts-directory of your Windows computer.
Access the following ClassPad product information pages.
ClassPad HOME:
http://edu.casio.com/products/classpad/
ClassPad 330 Handheld: http://edu.casio.com/products/classpad/cp_v302/
ClassPad Manager software: http://edu.casio.com/products/classpad/cpm_v300/
Click the text link of "ClassPad Font Set (.ZIP)" to download the Font Set.
Click the text link of "Character Table (.pdf)" to browse or download the character table of the fonts.
If you want to know what you can do with a ClassPad,
please get 30 Day Trial of ClassPad Manager V.3.0. Just input a few information on the webpage:
and you can use the software within 30 days for free.
http://edu.casio.com/freetrial/freetrial_form.php


 

Classroom Activities.

  1. Linking y = and dy/dx =  and d2y/dx2 =                      

The calculator can differentiate at a value of x only

i.e. differentiate at a point, but can draw the graphs of

y =        dy/dx =           d2y/dx2 =                                                         

Use the calculator in GRAPH mode.

The first derivative d/dx, used for finding the slope of a graph at a given point.

The second derivative d2/dx2, used for finding the concavity of a graph at a given point.

Note: d/dx (d2/dx2) can be found in OPTN then press the F2, then either F1 or F2.

Example:

            (a)        Draw the graph of y = x(x – 2)(x + 1)

            (b)        Draw the graph of the derivative of y i.e. dy/dx

            (c)        Draw the graph of the second derivative of y i.e. d2y/dx2

Enter the equations into the Y1, Y2 and Y3 areas, pressing EXE to store the equations.

Make sure that the x and y axis are set up correctly so that you are able to see the main features of the graphs been drawn. Use the V-Window [Shift] [F3] to change the domain and range values.

Y1 = x(x – 2)(x + 1)

            Y2 = d/dx(x(x – 2)(x + 1),x)

            Y3 = d2/dx2(x(x – 2)(x + 1),x)

Press [F6] to draw the graphs.

 

  1. Telephones and algebra

Monthly rates for mobile phones.

Name of Plan               Access fee       Minutes            Each additional

                                                ($)                    included ($)     minute ($)

Orange                         17.95               0                      0.73

Green                           27.95               15                    0.53

Blue                             49.95               60                    0.35

Rose                            75.95               150                  0.35

Which is the best plan, and over what time interval? Can you solve this problem in the GRAPH icon?

 

CAS  Activities

Even if your students do not have access to the ClassPad, they can still benefit from watching a teacher or another student use or demonstrate activities, Their impact on the class is phenomenal! All you will need is a laptop or PC, data projector and the ClassPad Manager software. As you are writing your lesson plan, create a few short eActivities to supplement your lesson. Your students will gain a stronger understanding of the topic, the visual and kinaesthetic learners will appreciate it and the entire class can participate. The ClassPad Manager makes a great classroom tool.

 

A square deal! From the last newsletter!

           

Construct a unit square ABCD.

Construct the midpoints E, F, G and H.

Complete the construction shown above.

Show that the area of ∆ALE:∆AIB is a ratio 1:4

Show that the area of ∆DLA = IJKL

Prove this is true for all similar constructions in a square.

 

 How many triangles do you see?

                                    

            Here!                                       Here!                                     And here!

Can you find a pattern? Can you generalise? [Hint: consider both triangles orientated in both ▲ and ▼ directions.

 

Constructions and animations.

From here to there! Below and to the right, are four screen captures of an animated cuboid and its associated net.

Can you replicate this construction and animation?

                             

Functions and Graphs

  • Composite f◦g and g◦f Functions of functions.
  • Inverse Functions What about inverse of functions? f(f-1(x)) and f-1 (f (x)).

Composite f◦g and g◦f

What happens when you take the function of a function? Are they interchangeable?

                                 

Try some for yourself!

 

Inverse Functions

What happens when you take the inverse of a function within a function? Or vice versa?

                                 

Try some for yourself!

 

What happens when you have an equation that does this?

Explore...

 

f(n+2) = f(n+1) - f(n)


A last word!

Well again, that’s all I can fit onto the 5 pages! Enjoy the ‘spring into summer’ term! Hope to see you at some workshops or in 2010 via this newsletter or otherwise! If you would like to contribute or have suggestions as to what you would like to have discussed via this medium, please do not hesitate to contact us either by snail - mail, email, website, telephone, text or fax.

 

Derek Smith                           Would you like to receive
Graphic Technologies                        this mailout electronically?
73 Viewmont Drive                Please email your request to:
Lower Hutt                            
graph.tech@xtra.co.nz

Phone: (04) 569 1686  Fax: (04) 569 1687  Mobile: 027 460 2871  Website: http://graphic-technologies.co.nz

 

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Graphical Times. Volume 8, Issue 31, 2009.

 

Welcome back to term 3!  Hope that you have had a restful break and been able to read a few non-mathematical books. We hope you enjoy the read in this terms newsletter. The 11th New Zealand Mathematics Teachers Conference will be held in Palmerston North from 29th September – 2nd October 2009. Visit: http://www.nzamt11.co.nz/page.php?13 and the NZSA 2009 Conference will be held in Wellington from 2nd – 3rd September. An Educational Session will be held on the Thursday afternoon. The webpage is http://msor.victoria.ac.nz/Events/NZSA2009/NZSA2009, please visit for more information.


And the winners are...

Term 2 promotion winners are:

1st  Fregburg HS

2nd   Rosmini College

3rd   Massey High School

Congratulations to these term 2 winners.

A similar promotion will run in 2010.

Many thanks to the schools that qualified for the criteria set for the promotion.

 

Project ReCalc

Casio’s ‘Project ReCalc’ came to a successful conclusion earlier this year with over 2,000 registrations and 70 unique entries. Congratulations to Sam Ridling, whose ultra-detailed design won her a bunch of great prizes including her design printed on a limited edition Huffer T and sold within their collection with all proceeds going to Math’s Education. Project ReCalc will be happening again next year with details to come at a later date. So in the mean time keep your eye out for more info and dates as they are finalised or check out www.projectrecalc.co.nz.

 

What’s in here!

Included in this terms newsletter are:

  • Calculator activities:  Classpad 330+ – Questions to solve on the Classpad
  • Worksheets for:          Classpad 330 +– The sliding rectangle - animation.

                     Graphic calculator – Parametric and Polar coordinate graph Drawing.

  • Term 3 pricing list
  • The Graphic Technologies Catalogue is available on request please email us @ graph.tech@xtra.co.nz

The first 20 schools to purchase via the website this term will receive an ‘extra something’ in their order.

 

Specials for Term 3 promotions.

Graphic Technologies has been able to secure special pricing on the FX82BU, the Classpad 330+ and the FX991ES.

FX82BU Scientific calculator:

FX82BU scientific calculator (Minimum order is 10)

                               

10 - 30

$15.00

31 - 50

$14.75

51 - 100

$14.50

101 - 200

$14.25

200 +

$14.00

  

Classpad 330+ CAS calculator: Purchase a class set of 30 units - $4500 + GST. ($150 + GST per unit) and receive free, the FACP330B, School License, $879.00 RRP.

ClassPad330+

 

 

Graphic Technologies wants you to get your hands on one!

 

SPECIAL: Receive a free FACP330B – School License worth $879.00, with the class set purchase.

1 - 2

$180.00

3 - 5

$170.00

6 - 10

$165.00

11 - 29

$160.00

Class set of 30 special

$4,500.00

All pricing is valid until 10th September 2009 or while stocks last! See the attached flyer to this mailout.

 

The FX991ES

Graphic Technologies is New Zealands’ sole reseller of this calculator. This calculator has ‘Natural Textbook display’. A NON-PROGRAMMABLE calculator Allowed and recommended for the Cambridge Examinations

See the Pricing list below or the Graphic Technologies 2009 catalogue for more details of this calculator.

Product

# of Units

Price
(excl GST) per unit

FX991ES scientific calculator Promotion (Recommended for Cambridge Examinations)

 

 

 

 

 

 

 

 

Graphic Technologies wants you to get your hands on one!

1 - 2

$75.00

3 - 5

$74.00

6 - 10

$73.00

11 - 29

$71.00

Class set of 30 special

$2130.00

All pricing is valid until 3rd October 2009 or while stocks last!

 

AAA batteries and Back up batteries [CR2032 Lithium].

The graphic calculators have a back up battery to save data if the 4 AAA batteries fail. These have a life span of 2 - 4 years, dependent on usage. It is good practice to replace these rather than wait for them to fail also, particularly if you operate class sets or hire them out to students for the academic year. Graphic Technologies sell these batteries and will have special pricing operating term 3 for bulk orders. Again the demand for this product over term 1, 2 and 3 has been high! Particularly from schools checking their class sets of graphics. We are again keeping this special open for term 3. Purchasing 10+ will be $3.25 + GST per each: 20+ will be $3.10 + GST per each: 50+ will be $3.00 + GST per each.

The 4 AAA batteries generally have a life span of 1 - 2 years, dependent on usage. It is good practice to replace these also than waiting for them to fail. If your school is having mock examinations this term or the beginning of term 4 then it would be good practice to change them in preparation and always have a spare set to put in the calculator just in case the ‘Low battery’ screen reading displays during the examinations.  Graphic Technologies sell these batteries and have a special pricing operating in term 3 for bulk orders. Purchasing 24 packs (Contains 2 AAA) will be $2.45 + GST per each: 48 packs will be $2.40 + GST per each: 49+ will be $2.30 per each. We also sell AA batteries in 2 and 4 packs see the Term 3 pricing list.

 

EA-200 Data logger and EA-2 Motion Sensor.

These connect to the graphic calculator or Classpads and as a special NZAMT11, term 3, promotion we are offering a 50% discount on these two accessories (While stocks last.)

. The EA200 can connect 7:1 parent and up to 7 graphic calculators or ClassPad 300’s for data / programme transfer and the Motion Sensor.

CASIO MOTION SENSOR                           EA200 CASIO DATA LOGGER

Emits Ultrasonic pulses                                      Data Analyser

Detects Pulses returned                                                 Includes Temperature, Optical and

Can connect to EA100                                       Voltage Probe

                                                                        Data collection at up to 50,000 points per second

 

Product

EA-200 Data Logger           

EA- 2 Motion Sensor           

Price (excl GST) per unit

$250.00

$250.00

Both of these models have a RRP of $799.00

 

Workshop opportunities.

Workshop opportunities, if you would like to have a workshop for teachers and or students then please make contact with Graphic Technologies. A large number of schools are taking up this opportunity either singularly or as a cluster of schools with both the graphic calculator or with the ClassPad330+, to look at how the graphic calculator and CAS could impact on and be integrated into your classroom practices

 

Worksheets downloaded off  the web.

Visit Monaco Corporation’s or  Graphic Technologies website to view and download worksheets. There are links to other informative mathematics education websites too. For teachers we currently offer a large number of ‘classroom ready’ resources available are designed primarily for the CASIO® FX9750G, FX9750G+, CFX9850GB, CFX9850GB+, CFX9850GC+  FX9750GA+ models of graphical calculators and the ALGEBRA 2.0. There is also a variety of activity sheets designed for the ClassPad300 and 330+ 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.

Visit: www.monacocorp.co.nz/casio and http://graphic-technologies.co.nz.

 

Websites of mathematical interest.

The BBC have an excellent radio show on statistics called "More or less". The web page is here: http://news.bbc.co.uk/1/hi/programmes/more_or_less/default.stm. You can download the podcasts from here: http://downloads.bbc.co.uk/podcasts/radio4/moreorless/rss.xml. Recent episodes include interviews with David Spiegelhalter, and topical items on the numbers behind swine flu and the credit crunch.

What’s the fuss about the number 9! http://www.teachertube.com/viewVideo.php?video_id=108197&title=Math_Game_Crazy_9s

http://www.mathopenref Where geometrical constructions are demonstrated with supporting statements.

CASIO Support Classroom E-mail News, What's New.
Main Features of the classpad 330+

Pen touch operation

·         Computer-like intuitive operations for menu selection, button operations, etc.

·         Drag & drop supports dragging of an input expression to a graph screen for instant graphing.

CAS (Computer Algebra System)

·         Natural display input enables input of fractions, differentials, integrals, Σ calculations, lim calculations, and other expressions in the same format as that used in mathematics texts.

·         Function conversion function

·         Algebra Assistant

eActivity Application Creation

·         Buttons for expression processing, text statements, and eActivity function recall

·         Each teacher (or student) can create activities on there own calculator.

·         Button for recalling user-created programs

Application and Classroom

·         Go-along-anywhere digital text book and digital handout functions

·         Allows tailoring of classroom materials to local needs

·         Contents installable using data communication

Presentation Application

·         Register application screen shots for playback in slideshow format.

·         Great for presenting eActivity results and other lessons.

·         Includes Auto Play, Manual Play, and page editing functions

Geometric Graphing

·         Constraint Geometry (geometric functions for education)

·         Geometric figure graphing (triangle, polygon, circle, etc.)

·         Geometric figure analysis (angle, length)

·         Animation

·         3-Dimensional Graphing

·         Trace, Zoom, Rotate

For more information about the ClassPad visit: http://edu.casio.com/products/classpad/

 

Classroom  Activity.     

What is the relationship between the four triangles that are formed in the

diagram on the right illustrating a ‘digression’ from Pythagoras’s theorem?

 

Prove that (a+b)2+c2 = total area of the figure illustrated.

 

CAS  Activities

Balancing linear equations by solving directly via the MAIN icon.

 

Example 1: Solve 7x + 3 = 8

Type in the equation and press EXE

 

 

Use ans and an operation to reduce the LHS of the equation to x and the RHS of the equation will reduce to

the required solution.

 

Example 2: Solve 3x + 5 = 8x-16

Type in the equation and press EXE.

 

 

Reduces to . . . .

 

 

Watching the ‘chain of reasoning’ change to solve the original equation will assist in clarifying the necessity to ‘undo’ the order of operations BEDMAS. The student can ‘experiment’ in solving linear (or another) equation using the ClassPad330+ and discovering the mathematical techniques required.


 

A last word!

Well again, that’s all I can fit onto the 4 pages! Enjoy the winter term! Hope to see you at some workshops at NZAMT11 or next term via this newsletter or otherwise! If you would like to contribute or have suggestions as to what you would like to have discussed via this medium, please do not hesitate to contact us either by snail - mail, email, website, telephone, text or fax.

 

Would you like to receive this mailout electronically?
Please email your request to:
graph.tech@xtra.co.nz

Phone: (04) 569 1686

Fax: (04) 569 1687 

Mobile: 027 460 2871

Website: http://graphic-technologies.co.nz

 

 

 

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Graphical Times.

Volume 8, Issue 30, 2009.

 

Welcome back to term 2!  Hope that you have had a restful break and been able to read a few non-mathematical books. Hope you enjoy the read in this terms newsletter. There is a large number of weblinks for both the graphical and CAS calculator in this newsletter. Enjoy the happenings this term…

Eton Press Casio Senior Mathematics Competition 2009 visit: http://www.eton.co.nz/2008+Senior+Maths+Competition+Information+Questions++Answers.html

 

And looking ahead to term 3…

The 11th New Zealand Mathematics Teachers Conference will be held in Palmerston North from 29th September – 2nd October 2009. Visit: http://www.nzamt11.co.nz/page.php?13 

NZSA 2009 Conference will be held in Wellington on Wednesday 2nd and Thursday 3rd September. An Educational Session will be held on the Thursday afternoon. The webpage is: http://msor.victoria.ac.nz/Events/NZSA2009/NZSA2009.

 

What’s in here!

Included in this terms newsletter are:

  • Calculator activities – ClassPad300   The spiraling triangles
  • Worksheets for: ClassPad300                       – Simultaneous Equations

– The power of the CAS - planning your attack

  • Graphic calculator                               – Graph Drawing in RUN mode
  • Term 2 pricing list
  • The Graphic Technologies Catalogue is available on request
  • CASIO Desktop Sales term 2 specials

The first 25 schools to purchase via the website will receive an ‘extra something’ in their order.

 

Specials for Term 2 promotions.

Graphic Technologies has been able to secure the pricing of the FX82BU, the ClassPad 330+ and the promotion of the new FX991ES continues into term 2.

 

FX82BU Scientific calculator:

FX82BU scientific calculator (Minimum order is 10)

Please specify which model is required (circle):

FX82BU   

10 - 30

$15.00

31 - 50

$14.75

51 - 100

$14.50

101 - 200

$14.25

200 +

$14.00

 

ClassPad 330+ CAS calculator: Purchase a class set of 30 units - $4500 + GST. ($150 + GST per unit) and receive free, the FACP330B, School License worth $879.00 RRP.

ClassPad 330+

 

 

Graphic Technologies wants you to get your hands on one!

 

SPECIAL: Receive a free FACP330B – School License worth $879.00, with the class set purchase.

1 - 2

$180.00

3 - 5

$170.00

6 - 10

$165.00

11 - 29

$160.00

Class set of 30 special

$4500.00

All pricing is valid until 3rd July 2009 or while stocks last! See the attached flyer to this mailout.

 

Mathematics Department Cycle [Pass it on to . . . ]

 

 

 

 

 

 

 

 

 

 

 

 

Newsflash! Introducing the FX991ES

Graphic Technologies is New Zealands’ sole reseller of this calculator. This calculator has ‘Natural Textbook display’. A NON-PROGRAMMABLE calculator Allowed and recommended for the Cambridge Examinations!

Two Way Power                                   9 Memories (Memory Protection                       

Intergration/Differential                         Equation Calculation                                         

CALC Function / SOLVE Function        Base-n calculation                                            

Vector Calculations                               Combination and Permutation                            

Standard Deviation (Paired Variable)      Regression Analysis                                         

Logical Operations                                Table Function                                                 

Exponential display                                40 metric conversions (20 conversion pairs)       

Answer Function                                   Multi-statements                                               

Auto Off                                               Fraction Calculations

Complex Number Calculation                 Matrix Calculations                                           

Logarithm Log.                                   STAT Data Editor

40 scientific constants                            Replay Function                                   

Error Recovery                                    

See the Pricing list below and Graphic Technologies 2009 catalogue for more details.

Product

# of Units

Price
(excl GST) per unit

FX991ES scientific calculator Promotion (Recommended for Cambridge Examinations)

 

 

 

 

Graphic Technologies wants you to get your hands on one!

1 - 2

$80.00

3 - 5

$77.00

6 - 10

$76.00

11 - 29

$73.00

Class set of 30 special

$2130.00

All pricing is valid until 3rd July 2009 or while stocks last! See the attached flyer to this mailout.

 

Back up batteries [CR2032 Lithium].

The graphic calculators have a back up battery to save data if the 4 AAA batteries fail. These have a life span of 2-4 years. It is good practice to replace these rather than wait for them to fail, particularly if you operate class sets or hire them out to students for the academic year. Graphic Technologies sell these batteries and will have special pricing operating in term 2 for bulk orders. Due to the demand for this product over term 1, we are keeping this special open for term 2. Purchasing 10+ will be $3.25 each: 20+ will be $3.10 each: 50+ will be $3.00 each.

 

Workshop opportunities.

Workshop opportunities, if you would like to have a workshop for teachers and or students then please make contact with Graphic Technologies. A large number of schools are taking up this opportunity either singularly or as a cluster of schools with both the graphic calculator or with the ClassPad300, to look at how the graphic calculator and CAS could impact on and be integrated into your classroom practices.

More mathematics with a graphics calculator: Casio cfx-9850G by Barry Kissane.

Containing detailed explanatory text, with many screen dumps, the book includes calculator exercises (with answers) and exploratory activities. The book covers many aspects of mathematics including functions, graphs, equations, data analysis, simulation, sequences and series, iteration, recursion, matrices, complex numbers, programming and calculus. The book also has a chapter on data logging and a comprehensive index for quick reference. We have 10 of these books left. A must for the departments library. Suitable for year 9~13 classes. This term Graphic Technologies have this book on special @ $40.00 + GST [Normally $45.00 +GST]

 

 

Worksheets downloaded off  the web.

Visit Monaco Corporation’s website to view and download the worksheets. There are also links to other informative mathematics education websites too. For teachers we currently offer a large number of ‘classroom ready’ resources which are designed primarily for the CASIO® FX9750G, FX9750G+, CFX9850GB, CFX9850GB+, CFX9850GC+  models of graphical calculators and the ALGEBRA 2.0. There is also a variety of activity sheets designed for the ClassPad300 models. All of the activities and worksheets are designed for beginners to advanced users of the Graphic Calculator and CAS. More have been added to the website since the last newsletter.

Visit: www.monacocorp.co.nz/casio and http://graphic-technologies.co.nz.

 

Websites of mathematical interest.

http://www.blackdouglas.com.au/taskcentre/news.htm The Mathematics Task Centre. April has seen - two activities added to the Poly Plug & Tasks link. A report from Port Glasgow High School, Scotland, on their use of Maths With Attitude, including using an electronic whiteboard to support the investigation of the Sphinx.
http://wwwstaff.murdoch.edu.au/~kissane/epublications.htm This page contains links to some of Barry’s recent publications.

http://wwwstaff.murdoch.edu.au/~kissane/dyngeom.htm Dynamic geometry software allows for traditional constructions with compass and straightedge to be performed by computer and to then be manipulated in a dynamic way. Java versions of GSP (Java SketchPad) and of Cabri (CabriJava) are used to construct objects which can be manipulated by the user.

http://www.moillusions.com/ Optical illusions

http://www.eeeesoft.tk/ The Game 24 is great for students to brush up on their numeracy skills using BEDMAS. Click on this website website and choose 4x6-Oplossingen then DOWNLOAD using the UK flag instructions.

http://www.curriculum.edu.au/maths300/overview.php3?ID=149 ETuTE Maths300 the Birth Month Paradox. To view others visit: http://lists.curriculum.edu.au/pipermail/maths300/2008-July/000104.html

 

http://www.pims.math.ca/pi/ The Official Web Site of the High School Mathematics Magazine π in the Sky

 

The Le@rning Federation, in this weblink you can explore samples of their digital curriculum content in mathematics and numeracy http://www.thelearningfederation.edu.au/for_teachers/sample_curriculum_content/tm_-_maths.html.

 

The home of CasioEd Australia: http://www.casio.edu.shriro.com.au/index.htm

ClassPad Programs http://www.casio.edu.shriro.com.au/teachers/classpad/eactivity.php

Teaching units that integrate the use of graphics calculators, and other software where needed, into the learning and applying of mathematics in the teaching and learning. Visit: http://www.casio.edu.shriro.com.au/teachers/fx9860/runits.php

ClassPad Downloads http://www.casio.edu.shriro.com.au/downloads/classpad_download.php

 

CASIO Support Classroom E-mail News, What's New.

Download eActivity for ClassPad OS version 3.0. It consists of totally more than 350 eActivity files in 64 vcp files. They cover the following aspects: Algebra, Calculus, ClassPad Basics, Engineering, Geometry, Linear Algebra, Precalculus, Statistics, Teaching with the ClassPad and Miscellaneous. Visit http://edu.casio.com/ or http://edu.casio.com/products/cpeactivity/ to go to the download page directly.

HOW TO USE: After downloading a vcp file by clicking underlined item at the download web page
1. If you are a user of ClassPad 330, please use FA-CP1 included in the bundled CD comes with your
   ClassPad 330 handheld.
2. If you are a user of ClassPad 300 or ClassPad 300
PLUS
with OS ver.3.0, please download FA-CP1 from the following Casio online service.
  (A) CASIO Educational website/ CASIO Online Service (Downloads) page:
http://edu.casio.com/dl/
  (B) Click the following button step by step. [Enter]  [Accept]  [Guest]
  (C) Select the following item for ClassPad 300 series, and then click [
NEXT]-PC Software.
  (D) Click the underlined item of "Program-Link software FA-CP1" to download the file.
3. If you are a user of ClassPad Manager version 3.0 already, then double click the downloaded vcp file and go to eActivity application.
4. If you are not yet a user of ClassPad handheld with OS ver.3.0 or  ClassPad Manager ver. 3.0, download the Free 30 Day Trial Version of "ClassPad Manager Version 3.0"
Please access the following web page and click the relevant banner, "ClassPad Manager V3.0 Professional" in the left side field of "30 Day Trial" on this page to receive the free software
http://edu.casio.com/. For more information about the CASIO ClassPad, please visit http://edu.casio.com/products/classpad/

 

Classroom  Activities.  

How many triangles can you find of any size in these diagrams? [Answer on the bottom of this last page.]

How did you solve the problem, guess and check, make a table, looked for a pattern?

 

CAS  Activities - The spiraling triangles.

Problem! Show that the area of the rhombus in the middle that is created from the lines AE, GC, BF and HD is 1/5. If you repeated this construction indefinitely then what is the value of Σ(1/5)n , n = 1… infinity?

On your ClassPad make a square with sides of length 10 units. Find the midpoints on each of the 4 sides and construct line segments as illustrated below. Show that the area IJKL = area ΔADL. If you repeated this construction inside the square IJKL and again and again…Then the total area of the shaded areas is: 1/5 + (1/5)2 + (1/5)3 + (1/5)4 + (1/5)5 + … + (1/5) = ¼

 

Help Desk.

Questions: I have a quick question! In run mode when I enter (x^4+3)(x^4-3)=x^8-9 EXE. On some calculators it is coming up 1 for true and on others 0 for false. I input myself and also checked to make sure calculator in degrees.

Response:  The calculator is a numerical manipulator! The return of a '0' is not correct and a '1' as correct. The calculator is using the value stored in the memory space 'X' and substituting it into the equation. The x value NEEDS to be an integer value rather than the decimals that the students who have returned the answer '0'. On a calculator that returns a '0'.

Type in X and press [EXE] and look at this X value. Remember the calculator is just substituting in a number for X that has been assigned. See the screen snaps illustrated below. Hope this has giving you an idea of what the calculator is doing when you are 'checking' the equality of expression 1 = expression 2.

The inputs of x^3 + x^2 = x^2(x+1) is entries but it is the value assigned to x that is important.

Assign a value to X Enter the equation

 

Assign a value to X that is not a ‘nice’ number!

 

 

A last word!  

Well again, that’s all I can fit onto the 4 pages! Have a great term 2! Hope to see you at some workshops or next term via this newsletter or otherwise! If you would like to contribute or have suggestions as to what you would like to have discussed via this medium, please do not hesitate to contact either by snail - mail, email, website, telephone, text or fax.

[Answers: 47 and 48]

 

Would you like to receive this mailout electronically?
Please email your request to: graph.tech@xtra.co.nz
Lower Hutt                            

Phone: (04) 569 1686       

Fax: (04) 569 1687      

Mobile: 027 460 2871     

Website: http://graphic-technologies.co.nz.

 

 
   
 

  

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