Canberra Mathematical Association


 

Post-Primary Classroom Resources

 

Computer (ICTs)

Congratulations to Ed Staples of Erindale College who has won the 2004 National Award for Quality Schooling for his work on spinners. Ed has produced a CD containing a collection of his Spinners. Version 2 (2007) is now available through the AAMT and LinkMedia.
->For more information

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Year 9 and 10 Mathematics courses
these courses were written in response to the new courses introduced to the Colleges. They represent the minimum content required for students continuing on to years 11 and 12.

Graphics Calculators

The following worksheets/programs include those produced for the 2003 CGQTP project.
TI-83, Sharp and CASIO
Copies of the worksheets below and worksheets for Yrs 11 & 12 can be found at the University of NSW (ADFA campus) website.

TI-83 Family 113.0 KB
Casio Family 113.0 KB

Simultaneous Equations: Solving simple simultaneous linear equations numerically (with a table), graphically and algebraically. Peter McIntyre
ADFA, Uni of NSW
TI-83 Family
445.8 KB
Casio Family
445.8 KB
Tangrams and Co-odinate Geometry: This activity requires students to make a picture using Tangram pieces, place the subsequent picture onto grid paper and use their knowledge of X/Y coordinates and straight line equations to redraw the picture on the graphics calculator. Margie Smith
Canberra HS
 
TI-83 Family 176.0 KB
Casio Family 176.0 KB
Alien Attack: Uses one of Newton's equations of motion to explore properties of quadratic equations both numerically and graphically. Peter McIntyre

TI-83 Family 118.4 KB
Casio Family 118.4 KB

Statistics from Birthdays: Class data on day and month of birth are used to provide an introduction to data presentation on a graphics calculator. Peter McIntyre
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TI-83 Family 167.8 KB
Casio Family 167.8 KB    
Compund Interest: An introduction to compound interest calculations on a graphics calculator using formulas, tables and graphs. Peter McIntyre
TI-83 Family 137.2 KB
Casio Family 137.2 KB  
Sketching Quadratics - Intercept Method: This activity uses trace and zoom to determine the intercepts and vertex of a parabola. Margie Smith
TI-83 Family 493.2 KB
Casio Family 493.2 KB  
Graphing Straight Lines: A set of three worksheets using the graphics calculator to explore the y = mx + b form of a straight line. Margie Smith
TI-83 Family 112.6 KB
Casio Family 112.6 KB
A Classic Problem - The Hare and Tortoise: The graphs of the distance covered versus time in this classic race are used to answer various questions about the race, such as who one and by how much. Peter McIntyre
TI-83 Family 137.9 KB
Casio Family 137.9 KB
Coordinate Geometry Art: A simple picture consisting of straight lines is 'coded' using the coordinates of the points of the vertexes. These are used to 'transmit' the picture to someone else. Peter McIntyre
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TI-83 Family 110.1 KB
Casio Family 110.1 KB
Parabolic Aerobics: The first activity investigates the effect of changing the numbers A, B and C on the graphs of the families of parabolas y = A(x-B)^2 + C. In the second activity you have to guess the numbers A, B and C for the graph of a mystery parabola generated by the program PARABOLA. Peter McIntyre
TI-83 Family 114.9 KB
Casio Family 114.9 KB
Probably Finding Pi: An experimental-probability method of finding Pi. Peter McIntyre
TI-83 Family 150.4 KB
Casio Family 150.4 KB
The Best Shape for a Can: Minimising the surface area of a cylinder (can) for a fixed volume. Numerical and graphical techniques rather than Calculus, are used to find the minimum. Aspects of mathematical modelling are introduced. Peter McIntyre
TI-83 Family 96.7 KB
Casio Family 96.7 KB
Walk the Walk: A study of functions lines and slope using a motion detector. Peter McIntyre
TI-83 Family 219.3 KB
Casio Family 219.3 KB
What's My Line: This worksheet investigates the connection between a table of values, the line on a number plane and the equation of the line. Margie Smith
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Other Worksheets

Literacy Task -Shapes
-Solutions
This is a literacy task suitable for Year 7 and Year 8 Geometry.

Hannah Ryan
St. Patrick's College, Strathfield

The Pentagram
This task involves literacy and the golden section in a pentagram and is more of an extension ‘optional extra’ activity. The Pentagram could be used with upper Primary students if they had access to a calculator.
Hannah Ryan
St. Patrick's College, Strathfield 
     
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Circuit Archives (pdf format)
These are obviously not complete. If you wish to donate electronic copies, I would be happy to put them on the web! Thank you to Peter Enge for these copies.

1997/3
1997/4
1998/1
1998/2
1998/3
1999/1
1999/2
1999/3
2000/1
2000/2
2001/1

Contd. from 2001 Circuit
Golden Ratio Parts 1 & 2

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Puzzles/Competitions/Enrichment

To Register
Registrations open
Monday 2nd May
and close
Friday 17th June 2005.

Draft Timeline
Monday 2nd May Registrations Open
Monday 6th June Support Material Released
Friday 17th June Registrations Close
Monday 25th July Schools partnered
Monday 15th August National Science Week
Friday 19th August Sample Data Released
Friday 26th August Submission of results

The Eratosthenes Project is a recreation of a famous ancient experiment to measure the circumference of the Earth performed before the birth of Christ (see http://www.grecoreport.com/eratosthenes.htm for a good account of his life and achievements).
Eratosthenes measured a value for the circumference of the Earth which was within 250 miles of a modern value - an amazing feat.
This project is supported by the Australian Institute of Physics. The group targeted is Science/Maths students in Year 10, 11 and 12 but the attraction in this project is that there are so many other facets of Eratosthenes' life which are attractive to students at primary, junior secondary and the general public (for example Eratosthenes also measured the tilt of the Earth which explains the seasons). I (Department) am in the process of approaching Scienceworks to collaborate on providing some materials for primary/junior secondary students.
Schools will be invited to register and then at the beginning of Term 3, all schools will be paired with another school as close as possible to be being directly north or south of them. The partnered schools will work together to get a measurement of the earth's circumference.

AMT

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The Australian Mathematics Trust - Mathematics Enrichment programs are conducted for Primary to year 12 students. There is a fee involved.

For more information

The University of Sydney - Mathematics Enrichment Group
The mathematics enrichment groups are school-based clubs which offer the opportunity for students in years 9-12 to work on interesting and challenging maths problems in a friendly and supportive setting. They can involve more than one school (in which case the meetings are held after school hours) or could be set up within a single school (if it is not possible for students attend a multi-school group). There is a small fee involved.
For more information

The Macquarie University and Perdisco are running the Macquarie Business Mathematics Competition (MBMC). This is an online maths competition for secondary school students, focusing on the use of maths in finance and business related scenarios.
You can find more information about the competition on their website. This website includes free maths resources for teachers and students (look under 'samples').

T ony Nichols tony.nichols@education.tas.gov.au

Denise Neal (03) 6233 7033 denise.neal@education.tas.gov.au

Paul Tabart (03) 6233 7922 paul.tabart@education.tas.gov.au

Mental Computation:A Strategies Approach
This set of six modules, presented in a binder with accompanying CDROM, assists teachers in planiing for the teaching and assessment of mental computation from K-10. It focuses on the development of deep understanding of number and key thinking strategies. It has been written by Shelley Dole and Alistair McIntosh as a result of a research project in Tasmanian and ACT schools (Charles Conder Primary School).
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