MATHS RESOURCES SHARED BY TEACHERS

This collection contains resources contributed by maths educators, organised into strands ... and levels.
To search for resources, click on a topic button, then on the required level. (Level 1 is about Years 5-7; Level 4 about Year 10, Level 5 is Years 10-11 and Level 6 is Years 11-12.) Then look through the resources listed. It could be worth looking at the levels above and below the target level as well.
Alternatively, you could use the Find... option in your browser (generally Ctrl+F) to search for a particular key word or phrase (e.g. 'transformation') or a particular contributor (e.g. Rex Boggs). Email addresses for all contributors are listed at the end of this page (click here).
Word documents are included to allow editing, though be aware that to view them properly, they need to be downloaded and opened in Word. Likewise for Excel spreadsheets.
Please consider contributing. If you have resources you would be happy for others to use, please feel free to email them to d.ilsley@gmail.com for inclusion here. They don't have to be professional - just ordinary classroom worksheets, test questions etc. can save other teachers time. Any format will do - Word, pdf, jpg etc., scanned printed sheets or even scanned hand-written sheets. Just check, if the resources include any work by others, that they give permission, and include any acknowledgments. Also, indicate whether you would like to be acknowledged as the contributor or whether you would prefer them to be attributed to 'Anon'.

Contact           Copyright and Acknowledgments                             Link to M1Maths

Number       Algebra       Measurement       Geometry

Statistics       Probability       Calculus       Vectors and Matrices

Mental Arithmetic   Problem Solving   Investigating   Communicating

Multi-Strand       Readings for Teachers

Click a yellow strand button, then select a level from the strand menu.

 

NUMBER

Level 1       Level 2       Level 3       . . . .       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

N1:     Number - Level 1 (Year 7)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Fraction meanings and conversions, fractions of

pdf     docx

Notes for students

David Ilsley

Fraction meanings and conversions, fractions of

pdf     docx

Practice worksheets

David Ilsley

Ordering common fractions

pdf     docx

Activity

Rex Boggs

Addition

pdf     docx

Puzzle sheets

Rex Boggs

Factors and multiples

pdf     docx

Puzzle

Rex Boggs

Factors and multiples

flipchart

Puzzle

Rex Boggs

Listing factors

pdf     docx

Worksheet

Rex Boggs

Listing factors

pdf     docx

Worksheet

Rex Boggs

Number, Level 1

pdf     docx

Revision sheets

David Ilsley

Number, mostly Level 1

pdf     docx

Revision sheets

David Ilsley

Factors and multiples

pdf     docx

Game

Rex Boggs

Time, rate and ratio, Levels 1-2

pdf     docx

Revision sheets

David Ilsley

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N2:     Number - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Percentages of numbers and fraction conversions

pdf     docx

Worksheets

Rex Boggs

Decimal operations

pdf     docx

Printable money

David Ilsley

Decimal operations

pdf     docx

Unit of work

David Ilsley

Compound interest

pdf     docx

Worksheet

David Ilsley

Number, Level 2

pdf     docx

Revision sheets

David Ilsley

An alternative to the division algorithm

pdf     docx

Suggestion for teachers

David Ilsley

Time, rate and ratio, Levels 1-2

pdf     docx

Revision sheets

David Ilsley

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N3:     Number - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Operations

pdf     docx

Revision sheets

David Ilsley

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N6:     Number - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Complex numbers, Trig IDs, Sequences, Induction

pdf     docx

Exam with solutions

David Ilsley

Complex numbers - Fractals

pdf     docx
xlsx

Assignment with solutions

David Ilsley

Real and complex numbers, matrices

pdf     docx

Exam with solutions

David Ilsley

Groups, surds, matrices

pdf     docx

Test

David Ilsley

Real and complex numbers

pdf     docx

Test with solutions

David Ilsley

Complex numbers - Pirates

pdf     docx

Problem with solution

David Ilsley

Calculus - MacLaurin, Complex numbers

pdf     docx

Assignment with solutions

David Ilsley

Calculus, Periodic functions, CNs

pdf     docx

Exam with solutions

David Ilsley

Calculus, Complex numbers, Trig functions

pdf     docx

Revision sheet with solutions

David Ilsley

Groups, Sequences, Complex numbers, Matrices

pdf     docx

Test with answers

David Ilsley

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ALGEBRA

. . . .       Level 2       Level 3       Level 4       Level 5       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

A2:     Algebra - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Relations

pdf     docx

Revision sheets

David Ilsley

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A3:     Algebra - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Equation solving

pdf     docx

Cross-number puzzle

Rex Boggs

Equations

pdf     docx

Revision sheets

David Ilsley

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A4:     Algebra - Level 4 (Year 10)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Quadratic Multiplication Tables

pdf     docx

Worksheets

Rex Boggs

Number Tricks Using Algebra

pdf     docx

Worksheet

Rex Boggs

Algebraic proofs using calendars

pdf     docx

Reproducible calendar extracts

Rex Boggs

A Wonderful Proof of the Pythagorean Theorem

doc

Manipulatable graphics

Rex Boggs

Algebra

pdf     docx

Revision sheets

David Ilsley

Quadratic, power, exponential and simultaneous equation word problems

pdf     docx

Worksheet

David Ilsley

Writing and solving qadratic equations

pdf     docx

Worksheet

David Ilsley

Exponential Equations

pdf     docx

Worksheet

David Ilsley

Relations, Equations and Functions

pdf     docx

Summary

David Ilsley

Exponential and Lograrithmic Functions - Revision

pdf     docx

Revision sheet

David Ilsley

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A6:     Algebra - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Combinatorics - Card shuffling

pdf     docx

Assignment with solutions

David Ilsley

Combinatorics, vectors, matrices

pdf     docx

Exam with solutions

David Ilsley

Combinatorics, Vectors

pdf     docx

Test

David Ilsley

Groups, Sequences, Matrices

pdf     docx

Exam with solutions

David Ilsley

Groups, Sequences, Complex numbers, Matrices

pdf     docx

Test with answers

David Ilsley

Trig identities

pdf     docx

List and self-test

David Ilsley

Sequences other than APs and GPs

pdf     docx

Lesson plan

David Ilsley

Groups

pdf     docx

Introduction to groups

David Ilsley

Finite differences

pdf     docx

Extension ideas

David Ilsley

Summation and finite differences

pdf     docx

Worksheet with answers

David Ilsley

APs and GPs

pdf     docx

Worksheet with answers

David Ilsley

Sinusoidal functions

pdf     docx

Revision sheets

David Ilsley

Sine and cosine rules, exact values, trig functions and equations

pdf     docx

Revision sheet with answers

David Ilsley

Calculus, Periodic functions, CNs

pdf     docx

Exam with solutions

David Ilsley

Calculus, Complex numbers, Trig functions

pdf     docx

Revision sheet with solutions

David Ilsley

Unit circle, exact values, trig functions and equations

pdf     docx

Revision sheet with answers

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

pdf     docx

Exam with solutions

David Ilsley

Polar graphs

pdf     docx

Artistic graphs

David Ilsley

Sums of geometric series

pdf     docx

Guided investigation

David Ilsley

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MEASUREMENT

Level 1       Level 2       Level 3       Level 4       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

M1:     Measurement - Level 1 (Year 7)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Length and perimeter

pdf     docx

Unit of work

David Ilsley

Time, rate and ratio, Levels 1-2

pdf     docx

Revision sheets

David Ilsley

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M2:     Measurement - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Measurement Levels 1 and 2

pdf     docx

Revision sheets

David Ilsley

Length, area, volume, plans, scales (pool costing)

pdf     docx

Extended task

David Ilsley

Time, rate and ratio, Levels 1-2

pdf     docx

Revision sheets

David Ilsley

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M3:     Measurement - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Effect of multiplying dimensions on length, area and volume

pdf     docx

Worksheet for discovery learning

David Ilsley

Area, volume and data in the context of rain

pdf     docx

Extended task

David Ilsley

Areas of rectangles, triangles and compound shapes

jpg

Worksheet

David Ilsley

Pythagoras and right-angle trigonometry

pdf     docx

Revision sheet

David Ilsley

Pythagoras and right-angle trigonometry

pdf     docx

Revision sheets

David Ilsley

Simple and compound shapes for measurement and area calculation

jpg

Worksheet

David Ilsley

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M4:     Measurement - Level 4 (Year 10)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Gradient

pdf     docx

Series of lessons

David Ilsley

Length, Area, Volume

pdf     docx

Revision sheet

David Ilsley

Measurement, Level 4

pdf     docx

Revision sheets

David Ilsley

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M6:     Measurement - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Unit circle diagram for reading off trig values

pdf     docx

Accurate unit circle

David Ilsley

Unit circle, exact values, trig functions and equations

pdf     docx

Revision sheet

David Ilsley

Sine and cosine rules, exact values, trig functions and equations

pdf     docx

Revision sheet with answers

David Ilsley

Sine and cosine rules

pdf     docx

Revision sheet

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

pdf     docx

Exam with solutions

David Ilsley

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GEOMETRY

Level 1       Level 2       Level 3       Level 4       . . . .       . . . .

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

G1:     Geometry - Level 1 (Year 7)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Measuring angles - copiable numberless protractors

pdf     docx

Transparency template

David Ilsley

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G2:     Geometry - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Decribing shapes

pdf     docx

Unit of work

David Ilsley

Angles, vocabulary, position, maps, drawings

pdf     docx

Revision sheets

David Ilsley

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G3:     Geometry - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Geometry theorems

pdf     docx

Worksheets

Rex Boggs

Alternatives for geometric theorems

pdf     docx

Suggestion for teachers

David Ilsley

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G4:     Geometry - Level 4 (Year 10)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Levels 1 to 4

pdf     docx

Revision sheets with answers

David Ilsley

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STATISTICS

Level 1       Level 2       Level 3       . . . .       . . . .       . . . .

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

S1:     Statistics - Level 1 (Year 7)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Statistics and Probability

pdf     docx

Revision sheets

David Ilsley

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S2:     Statistics - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Raw data for statistical analysis

xlsx

Spreadsheet of data

Rex Boggs

Greedy Pig and stem and leaf plots

pdf     docx

Game instructions

Rex Boggs

Mean, median, mode, range

pdf     docx

Revision sheets

David Ilsley

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S3:     Statistics - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Random sampling (Jelly Blubbers)

pdf     docx

Activity

Rex Boggs

Random sampling (Random Rectangles)

pdf    

Activity

Rex Boggs

Histograms, stem-and-leaf plots, box plots

pdf     docx

Revision sheets

David Ilsley

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PROBABILITY

Level 1       . . . .       Level 3       . . . .       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

P1:     Probability - Level 1 (Year 7)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Statistics and Probability

pdf     docx

Revision sheets

David Ilsley

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P3:     Probability - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Sets, tree, Venn and Karnaugh diagrams

pdf

Worksheet with answers

James Spithill

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P6:     Probability - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Binomial distributions

pdf     docx

Practice questions with answers

David Ilsley

Normal distributions

pdf     docx

Practice questions, some with answers

David Ilsley

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CALCULUS

. . . .       . . . .       . . . .       . . . .       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

C6:     Calculus - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Basics of calculus

pdf     docx

Summary

David Ilsley

Introduction to calculus concepts

pdf     docx

Series of tasks

David Ilsley

Differential equations

pdf     docx

Teacher notes (hand-written)

David Ilsley

Differential equations

pdf     docx

Worksheet with solutions

David Ilsley

Applications of dydx=f(y)

pdf     docx

Worksheet with solutions

David Ilsley

Variable acceleration

pdf     docx

Worksheet with solutions

David Ilsley

Circular motion and simple harmonic motion

pdf     docx

Worksheet with solutions

David Ilsley

Numerical solution of differential equations

xlsx

Spreadsheet

David Ilsley

Vector calculus

pdf     docx

Exam with solutions

David Ilsley

Calculus, Complex numbers, Trig functions

pdf     docx

Revision sheet with solutions

David Ilsley

Calculus, Periodic functions, CNs

pdf     docx

Exam with solutions

David Ilsley

Calculus - MacLaurin, Complex numbers

pdf     docx

Assignment with solutions

David Ilsley

Calculus, SHM, Circular motion

pdf     docx

Exam with solutions

David Ilsley

Calculus, Air resistance, Numerical methods

pdf     docx xlsx

Assignment with solutions

David Ilsley

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VECTORS AND MATRICES

. . . .       . . . .       . . . .       . . . .       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

V6:     Vectors and Matrices - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Transformations

pdf     docx

Explanation and practice with answers

David Ilsley

Vectors and projectiles

pdf     docx

Worksheet with solutions

David Ilsley

Matrices and vectors

pdf     docx

Worksheet with answers

David Ilsley

Resolving forces

pdf     docx

Worksheet with answers

David Ilsley

Real and complex numbers, matrices

pdf     docx

Exam with solutions

David Ilsley

Groups, Sequences, Complex numbers, Matrices

pdf     docx

Test with answers

David Ilsley

Groups, Sequences, Matrices

pdf     docx

Exam with solutions

David Ilsley

Combinatorics, Vectors

pdf     docx

Test

David Ilsley

Combinatorics, vectors, matrices

pdf     docx

Exam with solutions

David Ilsley

Vector calculus

pdf     docx

Exam with solutions

David Ilsley

Matrices, Vectors, Sequences

pdf     docx

Exam with solutions

David Ilsley

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MENTAL ARITHMETIC

Level 1       . . . .       . . . .       . . . .       . . . .       . . . .

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

MA1:     Mental Arithmetic - Level 1 (Year 7)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Multiplication number facts

pdf     docx

Flash cards

Rex Boggs

Number facts

pdf     docx

Puzzle

Rex Boggs

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PROBLEM SOLVING

. . . .       Level 2       Level 3       . . . .       . . . .       . . . .

Level 1 is Years 5-7, Level 6 Years 11-12.

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PS2:     Problem Solving - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Fraction problems

pdf     docx

Sheets of problems with answers

Rex Boggs

Settlers - Quick problems to start lessons

pdf     docx

Sheets of problems with answers

David Ilsley

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PS3:     Problem Solving - Level 3 (Year 9)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Quick problems to start lessons

pdf     docx

Sheet of problems with answers

David Ilsley

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INVESTIGATING

Level 2       . . . .       . . . .       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

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IN2:     Investigating - Level 2 (Year 8)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

MULTO Investigation - Multiplication facts and factors

pdf     docx

Guided investigation

Rex Boggs

MULTO Investigation - Teacher version

pdf     docx

Teacher notes

Rex Boggs

MULTO Investigation - Multiplication facts and factors

xlsx

Spreadsheet-generated cards

Rex Boggs

Magic squares

pdf     docx

Investigation - Around Level 2

David Ilsley

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IN6:     Investigating - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Sequences - Square snowflakes

pdf     docx

Guided investigation

David Ilsley

Polar functions - Art

pdf     docx

Art creation

David Ilsley

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COMMUNICATION AND PROOF

. . . .       . . . .       . . . .       . . . .       . . . .       Level 6

Level 1 is Years 5-7, Level 6 Years 11-12.

Home         M1Maths

CP6: Communication and Proof - Level 6 (Years 11-12)

Click on the required format in the second column to be taken to the resource

Topic

Format

Resource Type

Contributor

Proof by exhaustion, contradiction, deduction, induction

pdf     docx

Introduction with examples

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

pdf     docx

Exam with solutions

David Ilsley

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MULTI-STRAND

Level 1       . . . .       . . . .       . . . .       . . . .       . . . .       Multi-Level

Level 1 is Years 5-7, Level 6 Years 11-12.

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MS1:     Multi-Strand - Level 1 (Year 7)

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Topic

Format

Resource Type

Contributor

Year 7 NAPLAN-style test: free sample from Kilbaha Education (https://kilbaha.com.au)

pdf     pdf

Self-marking test and instructions

Bill Healy

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MS7:     Multi-strand - Multi-level

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Topic

Format

Resource Type

Contributor

All strands, Levels 1 to 4 +

pdf     docx

Summary of major concepts

David Ilsley

A4 square grids, 1 cm and 5 mm

pdf     docx

Stationery

David Ilsley

Instructional Maths Games

pdf     docx

Games

Rex Boggs

Various strands, Levels 1-4

pdf     docx

Revision sheets

David Ilsley

Various

pdf     docx

Whiteboard Templates

Rex Boggs

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READINGS FOR TEACHERS

Click on the required format in the second column to be taken to the resource

  Topic

Format

Resource Type

Contributor

How Rex teaches Algebra, Geometry, Stats and Probability

pdf   flipchart

Presentation flipchart

Rex Boggs

How Rex teaches Numeracy, Percentages and Measurement

pdf   flipchart

Presentation flipchart

Rex Boggs

The case for direct instruction

pdf   flipchart

Presentation flipchart

Rex Boggs

Cognitive load theory

pdf

Presentation

Rex Boggs

Use of diagnostic questions

pdf     docx

Flow chart

Rex Boggs

Avoiding Confusion in Probability

pdf     docx

Article

David Ilsley

Learning Mesuration Formulae

pdf     docx

Article

David Ilsley

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Contact

This website is maintained by David Ilsley ( d.ilsley@gmail.com ).

Feel free to contact David or any of the contributors on the emails below.

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Copyright and Acknowledgments

This site and the materials linked to it are copyrighted under Creative Commons Attribution 4.0 License CC BY-NC 4.0. This allows them to be printed, copied, adapted and stored locally. It also allows them to be republished for non-commercial purposes as long as clear attribution is made to the contributor and/or other entities acknowledged in the work.

Much of the material will have been produced while teachers worked for state education authorities or other school systems and their ownership of this material is acknowledged.

Sometimes teachers have kept resources for a long time and forget that part or all of it was written by someone else. If you notice anything here which was written by you, please feel free to contact David Ilsley on d.ilsley@gmail.com or the contributor on the email adress below. The item will be removed or duly acknowledged.

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Email Addresses of Contributors

The addresses of the contributors are listed below in alphabetical order of last name. To make it a bit harder for those robots that crawl the net searching for email addresses for nefarious purposes, a z has been added to the start of each address. Just remove this before using.

Rex Boggs: zrexboggs5@bigpond.com

Bill Healy: zkilbaha@gmail.com

David Ilsley: zd.ilsley@gmail.com

James Spithill: zJames.Spithill@acer.org

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