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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 strand 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.

Each document contains, at the top, a link to this page plus the the file name, e.g. RA2-12. To find that document again, enter m1maths.com/sr/ plus the file name plus the file extension (docx, pdf etc.) e.g. m1maths.com/sr/RN1-43.pdf, or search this page using Ctrl+F. This link can be removed from the Word document before serving to students

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'.

Acknowledgments           Email adresses

Number       Algebra       Measurement       Geometry

Statistics       Probability       Calculus       Vectors and Matrices

Mental Arithmetic       Problem Solving       Investigating       Modelling

Algorithms       Communicating       Multi-Strand       Readings for Teachers

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

Acknowledgments

The materials in this section were produced by various teachers and education workers. The authors are acknowledged. The materials can be used as per the Usage Rights statement.

Many of the materials 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

Helen Chick: ?

Bill Healy: zkilbaha@gmail.com

David Ilsley: zd.ilsley@gmail.com

James Spithill: zJames.Spithill@acer.org

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Shared Resources - Number

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   N1:   Number - Level 1 (Year 7)

Click on the required format to be taken to the resource.
Non-pdf items need to be downloaded and opened to display properly.

Topic

File

Format

Resource Type

Contributor

M1Maths modules - Number Level 1

list

Modules for students

David Ilsley

Ten-frames for place value

RN1-14

pdf     docx

Picture masters

Rex Boggs

Number expanders - whole numbers

RN1-16

pdf     docx

Master

Rex Boggs

Number expanders - decimal fractions

RN1-17

pdf     docx

Master

Rex Boggs

Activities for number expanders

RN1-18

pdf     docx

Information for teachers

Rex Boggs

Number slider for place value

RN1-19

pdf     docx

Master

Rex Boggs

Number grids

RN1-35

pdf     docx

Various masters

Rex Boggs

Number lines - Various

RN1-76

pdf     docx

Pictures

Rex Boggs

Australian money - coins

RN1-65

jpg

jpeg

Rex Boggs

Australian money - $5

RN1-66

jpg

jpeg

Rex Boggs

Australian money - $10

RN1-67

jpg

jpeg

Rex Boggs

Australian money - $20

RN1-68

jpg

jpeg

Rex Boggs

Australian money - $50

RN1-69

jpg

jpeg

Rex Boggs

Australian money - $100

RN1-70

jpg

jpeg

Rex Boggs

A million stars

RN1-34

pdf     docx

Sheet of stars and some questions

Rex Boggs

Names of large and small numbers

RN1-36

pdf     docx

List

Rex Boggs

Numbers beyond our imagination

RN1-15

pdf     docx

Information and questions

Rex Boggs

Whole numbers, factors and multiples

RN1-84

pdf     docx

Revisions sheet

David Ilsley

Factors and multiples

RN1-6

pdf     docx

Puzzle

Rex Boggs

Factors and multiples

RN1-7

flipchart

Puzzle

Rex Boggs

Factors and multiples

RN1-11

pdf     docx

Game

Rex Boggs

Factors and multiples

RN1-81

pdf     docx

Revision sheet

David Ilsley

Listing factors

RN1-8

pdf     docx

Worksheet

Rex Boggs

Divisibility puzzle

RN1-53

pdf     docx

Problem and answer

Rex Boggs

Divisibility tests for all numbers

RN1-54

pdf     docx

Information

Rex Boggs

Why 1 is not a prime number

RN1-39

pdf     docx

Explanation

Rex Boggs

Listing factors

RN1-9

pdf     docx

Worksheet

Rex Boggs

Buzz - Multiples game

RN1-51

pdf     docx

Class game instructions

Rex Boggs

Factors game

RN1-52

pdf     docx

Instructions and materials

Rex Boggs

Multiples noughts and crosses

RN1-56

pdf     docx

Game instructions and materials

Rex Boggs

Factors and multiples puzzle

RN1-57

pdf     docx

Instructions and materials

Rex Boggs

Factors and multiples problems

RN1-58

pdf     docx

Problems with answers

Rex Boggs

Factor ladders - prime factorisation

RN1-59

pdf     docx

Explanation

Rex Boggs

Factor tests

RN1-60

pdf     docx

Worksheet

Rex Boggs

Finding factors and HCFs

RN1-61

pdf     docx

Worksheet

Rex Boggs

Highest common factors game

RN1-62

pdf     docx

Instructions

Rex Boggs

Juniper Green - Factors and multiples game

RN1-63

pdf     docx

Instructions and materials

Rex Boggs

Prime number puzzle

RN1-55

pdf     docx

Puzzle with solution

Rex Boggs

Seive of Eratosthenes - Prime numbers

RN1-41

pdf     docx

Activity instructions

Rex Boggs

Understanding fractions

RN1-74

pdf     docx

Worksheet

Rex Boggs

Fraction meanings

RN1-82

pdf     docx

5 revision sheets

David Ilsley

Common fraction concepts

RN1-27

pdf     docx

Workseet

Rex Boggs

Common fraction concepts

RN1-29

pdf     docx

Worksheet

Rex Boggs

Common fraction concepts

RN1-30

pdf     docx

Worksheet

Rex Boggs

Common fraction strips

RN1-33

pdf     docx

Master

Rex Boggs

Common fraction strips - various

RN1-31

docx

Masters

Rex Boggs

Ordering common fractions

RN1-10

pdf     docx

Activity

Rex Boggs

Ordering common fraction cards

RN1-28

pdf     docx

Activity instructions and materials

Rex Boggs

Understanding decimal fractions

RN1-64

pdf     docx

Group task

Rex Boggs

Decimal skip counting

RN1-23

pdf     docx

Activity instructions

Rex Boggs

Relative sizes of decimals

RN1-24

pdf     docx

Diagnostic test

Rex Boggs

Decimal path - relative sizes of decimals

RN1-20

pdf     docx

Puzzle

Rex Boggs

Ordering decimals

RN1-21

pdf     docx

Class activity

Rex Boggs

Kinaesthetic maths ideas - Ordering numbers etc.

RN1-22

pdf     docx

Class activities

Rex Boggs

Estimating percents

RN1-78

pdf     docx

Worksheet

Rex Boggs

Fraction meanings and conversions, fractions of

RN1-1

pdf     docx

Notes for students

David Ilsley

Fraction meanings and conversions, fractions of

RN1-2

pdf     docx

Practice worksheets

David Ilsley

Equivalent common fractions

RN1-32

pdf     docx

Activity sheet

Rex Boggs

Converting between improper fractions and mixed numbers

RN1-26

pdf     docx

Teaching tip

Rex Boggs

Fraction conversions

RN1-83

pdf     docx

Revision sheet

David Ilsley

Fraction-decimal-percent conversions

RN1-79

pdf     docx

Worksheet

Rex Boggs

Fraction-decimal-percent card ordering

RN1-44

pdf     docx

Instructions and materials for activity

Rex Boggs

Fraction-decimal-percent conversions

RN1-46

pdf     docx

Worksheets

Rex Boggs

Fraction-decimal-percent conversions

RN1-47

pdf     docx

Instructions

Rex Boggs

Fraction-decimal-percent conversions

RN1-48

pdf     docx

Instructions and worksheet

Rex Boggs

Fraction-decimal-percent conversions

RN1-49

pdf     docx

Instructions and worksheet

Rex Boggs

Fraction-decimal-percent eqivalents on number line

RN1-50

pdf     docx

Information sheet

Rex Boggs

Fraction-decimal-percent card matching

RN1-43

pdf     docx

Instructions and materials for activity

Rex Boggs

Fraction dominoes (Game for equivalent fractions)

pdf     docx

Instructions and materials

David Ilsley

Common fraction to decimal conversions

RN1-25

pdf     docx

Worksheet

Rex Boggs

2-4-6-8 - Order of operations

RN1-38

pdf     docx

Worksheet

Rex Boggs

The 4-numbers game - Order of operations

RN1-40

pdf     docx

Instructions

Rex Boggs

Order of operations puzzle

RN1-71

pdf     docx

Puzzle with some solutions

Rex Boggs

Order of operations - Find the missing number

RN1-72

png

Worksheet

Rex Boggs

Order of operations - Missing brackets

RN1-73

png

Worksheet

Rex Boggs

Order of operations

RN1-75

pdf     docx

Revision worksheet

Rex Boggs

Three 9s puzzle

RN1-77

pdf     docx

Instructions and materials

Rex Boggs

Four 4s challenge

RN1-13

pdf     docx

Record sheet

Rex Boggs

Addition of whole numbers

RN1-5

pdf     docx

Puzzle sheets

Rex Boggs

Alphametics

RN1-80

pdf     docx

Worksheet

Rex Boggs

Whole number names

RN1-3

pdf     docx

Revision sheets

David Ilsley

Number, mostly Level 1

RN1-4

pdf     docx

Revision sheets

David Ilsley

A few world records

RN1-42

pdf     docx

List

Rex Boggs

Mathematical poem

RN1-37

pdf     docx

Poem with pronunciation guide

Rex Boggs

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Shared Resources:   N2:   Number - Level 2 (Year 8)

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Topic

File

Format

Resource Type

Contributor

M1Maths modules - Number Level 2

list

Modules for students

David Ilsley

Computation and memorisation of pi

RN2-16

pdf     docx

Article

Rex Boggs

Pi to 50 000 digits

RN2-15

pdf     docx

Number (53 pages)

Rex Boggs

Fractions of numbers and quantities

RN2-48

pdf     docx

Revision sheet

David Ilsley

Percentages of numbers and fraction conversions

RN2-6

pdf     docx

Worksheets

Rex Boggs

Percent of ... (mental)

RN2-40

pdf     docx

Worksheet

Rex Boggs

Percent exercises

RN2-18

pdf     docx

Worksheets

Rex Boggs

Percent of ...

RN2-19

pdf     docx

Worksheet

Rex Boggs

Solving percent word problems

RN2-20

pdf     docx

Instructions and examples

Rex Boggs

Mixed percent questions

RN2-39

pdf     docx

Worksheet

Rex Boggs

Percent word problems (easy numbers)

RN2-41

pdf     docx

Worksheet

Rex Boggs

Percent challenge questions

RN2-42

pdf     docx

Worksheet

Rex Boggs

Percent applications (not money)

RN2-43

pdf     docx

Worksheet

Rex Boggs

Percent increase

RN2-44

pdf     docx

Worksheet

Rex Boggs

Fraction line (Class game for fraction concepts and fractions of numbers)

pdf     docx

Teacher instructions

David Ilsley

Millionaire (Board game for fractions of numbers)

pdf     docx

pdf     docx

Game with instructions

David Ilsley

Rates - Opening a restaurant

RN2-9

pdf     docx

Extended task

Rex Boggs

Teaching ratio - One method

RN2-10

pdf     docx

Teacher notes

Rex Boggs

Ratio - Triple jump

RN2-11

pdf     docx

Worksheet

Rex Boggs

Ratio word problems

RN2-8

pdf     docx

Worksheet

Rex Boggs

Barbie body proportions

RN2-7

pdf     docx

Worksheet

Rex Boggs

Time, rate and ratio, Levels 1-2

RN2-45

pdf     docx

Revision sheets

David Ilsley

Multiplying and dividing by powers of 10

RN2-14

pdf     docx

Explanation and questions

Rex Boggs

Decimal operations

RN2-3

pdf     docx

Printable money

David Ilsley

Decimal operations

RN2-2

pdf     docx

Unit of work

David Ilsley

Decimal fraction operations

RN2-17

pdf     docx

7 worksheets

Rex Boggs

An alternative to the division algorithm

RN2-1

pdf     docx

Suggestion for teachers

David Ilsley

Integers

RN2-37

pdf     docx

Worksheets

Rex Boggs

Teaching integer operations with understanding

RN2-31

pdf     docx

Instructions

Rex Boggs

Integer operations summary

RN2-32

pdf     docx

Information sheet

Rex Boggs

Integer operations and order of operations

RN2-33

pdf     docx

Practice sheet

Rex Boggs

Adding integers - Introduction

RN2-36

pdf     docx

Worksheet

Rex Boggs

Understanding integer subtraction

RN2-30

pdf     docx

Group work task sheet

Rex Boggs

Integer subtraction

RN2-35

pdf     docx

Worksheet

Rex Boggs

Walk the Plank (Activity for adding and subtracting integers)

pdf     docx

xlsx

Instructions and materials

David Ilsley

Integer magic

RN2-34

pdf     docx

Tricks with integers

Rex Boggs

Subtracting integers

RN2-38

pdf     docx

Worksheet

Rex Boggs

Fraction/negative operations

RN2-28

pdf     docx

Worksheet

Rex Boggs

Adding fraction - same denominator

RN2-27

pdf     docx

Worksheet

Rex Boggs

Fraction addition - Open-ended question

RN2-29

pdf     docx

Question

Rex Boggs

Teaching division of fractions

RN2-24

pdf     docx

Teaching sequence

Rex Boggs

Common fraction equivalence and operations

RN2-12

pdf     docx

Worksheet

Rex Boggs

Fraction problems

RN2-26

pdf     docx

Problems with answers

Rex Boggs

Fraction word problems

RN2-21

pdf

Problem sheets

Rex Boggs

Solutions to 'Fraction word problems'

RN2-22

pdf

Solutions, though somewhat jumbled

Rex Boggs

Applications of fractions

RN2-23

pdf     docx

Problem sheet

Rex Boggs

Fraction applications

RN2-25

pdf     docx

Worksheet

Rex Boggs

A great fraction problem

RN2-13

pdf     docx

Problem with surprising answer

Rex Boggs

Numbers sets

RN2-47

pdf     docx

Revision sheet

David Ilsley

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Shared Resources:   N3:   Number - Level 3 (Year 9)

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Topic

File

Format

Resource Type

Contributor

M1Maths modules - Number Level 3

list

Modules for students

David Ilsley

Integer indices and scientific notation

RN3-8

pdf     docx

Revision sheet

David Ilsley

Scientific notation - large numbers

RN3-5

pdf     docx

Worksheet

Rex Boggs

Scientific notation and the solar system

RN3-4

pdf     docx

Worksheet

Rex Boggs

Caesar's last breath - you inhale it all the time

RN3-2

pdf     docx

Explanation

Rex Boggs

Operations

RN3-1

pdf     docx

Revision sheets

David Ilsley

Proportional reasoning evaluation

RN3-3

pdf     docx

Question sheet

Rex Boggs

Introduction to simple and compound interest

RN3-6

pdf     docx

Explanation and practice

Rex Boggs

Proportions and rates

RN3-7

pdf     docx

Revision sheets

David Ilsley

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Shared Resources:   N4:   Number - Level 4 (Year 10)

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Topic

File

Format

Resource Type

Contributor

M1Maths modules - Number Level 4

list

Modules for students

David Ilsley

Introduction to simple and compound interest

RN3-6

pdf     docx

Explanation and practice

Rex Boggs

Simple and compound interest

RN4-9

pdf     docx

Revision sheets

David Ilsley

Percent applications: Simple and compound interest

RN4-7

pdf     docx

Worksheet

Rex Boggs

Compound interest

RN4-1

pdf     docx

Worksheet

David Ilsley

Compound interest

RN4-4

xlsx

Spreadsheet

Rex Boggs

Future value and present value

RN4-3

pdf     docx

Explanation and practice

Rex Boggs

Reducing loan calculator

RN4-5

xlsx

Spreadsheet

Rex Boggs

Loan repayment book

RN4-6

xlsx

Spreadsheet

Rex Boggs

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Shared Resources:   N5:   Number - Level 5 (Years 10-11)

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Topic

File

Format

Resource Type

Contributor

M1Maths modules - Number Level 5

list

Modules for students

David Ilsley

Applications of surds

RN5-1

pdf     docx

Worksheet

Rex Boggs

Continued fraction computation

RN5-2

pdf     docx

Instructions

Rex Boggs

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

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Topic

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Format

Resource Type

Contributor

M1Maths modules - Number Level 6

list

Modules for students

David Ilsley

Real and complex numbers

RN6-2

pdf     docx

Test with solutions

David Ilsley

Complex numbers - Pirates

RN6-1

pdf     docx

Problem with solution

David Ilsley

Piracy - a practical application of complex numbers

pdf

Application

David Ilsley

Complex numbers - Fractals

RN6-5

pdf     docx

xlsx

Assignment with solutions

David Ilsley

Fractal art (M1Maths)

webpage

Samples and explanation

David Ilsley

Real and complex numbers, matrices

RN6-4

pdf     docx

Exam with solutions

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

RN6-6

pdf     docx

Exam with solutions

David Ilsley

Groups, surds, matrices

RN6-3

pdf     docx

Test

David Ilsley

Calculus - MacLaurin, Complex numbers

RN6-11

pdf     docx

Assignment with solutions

David Ilsley

Calculus, periodic functions, complex numbers

RN6-10

pdf     docx

Exam with solutions

David Ilsley

Calculus, Complex numbers, Trig functions

RC6-9

pdf     docx

Revision sheet with solutions

David Ilsley

Groups, Sequences, Complex numbers, Matrices

RA6-12

pdf     docx

Test with answers

David Ilsley

Fermat's last theorem

RN6-7

pdf     docx

An almost counter-example

Rex Boggs

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Shared Resources - Algebra

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   A1:   Algebra - Level 1 (Year 7)

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Topic

File

Format

Resource Type

Contributor

M1Maths modules - Algebra Level 1

list

Modules for students

David Ilsley

Early algebra teaching sequence

RA1-3

pdf     docx

Teacher notes

Rex Boggs

Introducing algebra using code breaking

RA1-9

pdf     docx

Teacher notes

Rex Boggs

Relations

RA1-3

pdf     docx

Revision sheets

David Ilsley

Converting relations

RA1-4

pdf     docx

Worksheet

Rex Boggs

Patterns with M&Ms

RA1-2

pdf     docx

Worksheet

Rex Boggs

Converting formulae to tables and graphs

RA1-5

pdf     docx

Worksheet

Rex Boggs

English to algebra

RA1-6

pdf     docx

Worksheet

Rex Boggs

Building expressions

RA1-7

pdf     docx

Worksheets

Rex Boggs

What number goes in the box?

RA1-8

pdf     docx

Worksheet

Rex Boggs

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Shared Resources:   A2:   Algebra - Level 2 (Year 8)

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Topic

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Format

Resource Type

Contributor

M1Maths modules - Algebra Level 2

list

Modules for students

David Ilsley

Fun with calendars

RA2-1

pdf     docx

Puzzle

Rex Boggs

Addition magic trick

RA2-5

pdf     docx

Instructions and explanation

Rex Boggs

2-digit number magic trick

RA2-6

pdf     docx

Instructions and explanation

Rex Boggs

Square root magic trick

RA2-7

pdf     docx

Instructions and explanation

Rex Boggs

Thoan magic trick

RA2-8

pdf     docx

Instructions and explanation

Rex Boggs

'Brothers sisters nights out' magic trick

RA2-9

pdf     docx

Instructions and explanation

Rex Boggs

7 algebra magic tricks

RA2-10

pdf     docx

Instructions and explanations

Rex Boggs

17 algebra magic tricks

RA2-11

pdf     docx

Instructions and explanations

Rex Boggs

Relations, patterns, rules with toothpicks

RA2-3

pdf     docx

Worksheet

Rex Boggs

Relations and rules

RA2-2

pdf     docx

Worksheet

Rex Boggs

Algebraic substitution

RA2-15

pdf     docx

Worksheets

Rex Boggs

Pronumerals and algebraic shorthand

RA2-4

pdf     docx

Worksheet with lesson plan

Rex Boggs

Solving linear equations - Topic sequence

RA2-26

pdf     docx

Teacher notes

Rex Boggs

Linear equations - Introduction

RA2-21

pdf     docx

Teacher notes

Rex Boggs

Jack and Jill - Introduction to linear equations

RA2-12

pdf     docx

Worksheet

Rex Boggs

Linear equations

RA2-22

pdf     docx

Worksheet

Rex Boggs

Keeping the balance - Introduction to equation solving

RA2-16

pdf     docx

Worksheets

Rex Boggs

Solving algebraic equations

RA2-17

pptx

Introductory explanation

Rex Boggs

Early equations

RA2-32

pdf     docx

Diagnostic test

Rex Boggs

Linear equations - one step

RA2-19

pdf     docx

Worksheet

Rex Boggs

Linear equations activity

RA2-20

pdf     docx

Task to write equations with solution 5

Rex Boggs

Backtracking

RA2-23

pdf     docx

Worksheet

Rex Boggs

Backtracking and flow diagrams

RA2-25

pdf     docx

Worksheet

Rex Boggs

Dressing and stripping variables

RA2-28

pdf     docx

Teacher notes

Rex Boggs

Solving linear equations - Cookie jar method

RA2-24

pdf     docx

Worksheet

Rex Boggs

Solving equations by balance

RA2-30

pdf     docx

Worksheet

Rex Boggs

Solving equations with fractions

RA2-29

pdf     docx

Worksheet

Rex Boggs

Simplifying expressions

RA2-14

pdf     docx

Worksheets

Rex Boggs

Linear equations word problem

RA2-27

pdf     docx

Sample backtracking solution

Rex Boggs

Linear equations word problems

RA2-18

pdf     docx

Worksheets

Rex Boggs

Linear equations - Applications

RA2-31

pdf     docx

Worksheets

Rex Boggs

Algebra tiles

RA2-13

pdf     docx

Reproducible masters

Rex Boggs

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Shared Resources:   A3:   Algebra - Level 3 (Year 9)

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Topic

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Format

Resource Type

Contributor

M1Maths modules - Algebra Level 3

list

Modules for students

David Ilsley

Patterns, rules, tables, graphs

RA3-3

pdf     docx

Worksheet

Rex Boggs

Equations

RA3-1

pdf     docx

Revision sheets

David Ilsley

Equation solving

RA3-2

pdf     docx

Cross-number puzzle

Rex Boggs

Equation writing and solving application

RA3-5

pdf     docx

Worksheet

Rex Boggs

Algebra magic

RA3-21

pdf     docx

Information

Rex Boggs

Calendar magic trick

RA3-22

pdf     docx

Information

Rex Boggs

Number trick requiring algebra to explain

RA3-6

pdf     docx

Instructions for teacher

Rex Boggs

12 algebra magic tricks

RA3-7

pdf     docx

Instructions and explanations

Rex Boggs

The 22 puzzle magic trick

RA3-8

pdf     docx

Instructions

Rex Boggs

Instant product magic trick

RA3-9

pdf     docx

Instructions and explanation

Rex Boggs

Changing the subject of a formula

RA3-23

pdf     docx

Worksheets

Rex Boggs

Function machines

RA3-12

pdf     docx

Guided investigation

Rex Boggs

Graphing functions

RA3-11

pdf     docx

Task sheet

Rex Boggs

Finding linear functions

RA3-10

pdf     docx

Task sheet

Rex Boggs

Functions worksheet

RA3-13

pdf     docx

Worksheet

Rex Boggs

Applications of linear functions

RA3-14

pdf     docx

Worksheet / assignment

Rex Boggs

Converting linear functions

RA3-15

pdf     docx

Worksheet

Rex Boggs

Linear functions conversions

RA3-17

pdf     docx

Worksheet

Rex Boggs

Linear functions exercise

RA3-16

pdf     docx

Worksheet

Rex Boggs

Equations of parallel and perpendicular lines

RA3-18

pdf     docx

Worksheet

Rex Boggs

Index laws teaching sequence

RA3-19

pdf     docx

Teacher notes

Rex Boggs

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Shared Resources:   A4:   Algebra - Level 4 (Year 10)

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M1Maths modules - Algebra Level 4

list

Modules for students

David Ilsley

Relations, Equations and Functions

RA4-2

pdf     docx

Summary

David Ilsley

Factorising algebraic expressions

RA4-28

pdf     docx

Worksheet

Rex Boggs

Quadratic expressions - Topic sequence and notes

RA4-24

pdf     docx

Information for teachers

Rex Boggs

Some information on quadratic functions

RA4-20

pdf     docx

Explanations and exercises

Rex Boggs

Writing and solving qadratic equations

RA4-4

pdf     docx

Worksheet

David Ilsley

Factorising trinomials

RA4-19

pdf     docx

Explanations and exercises

Rex Boggs

Quadratic Multiplication Tables

RA4-10

pdf     docx

Worksheets

Rex Boggs

Completing the square

RA4-17

pdf     docx

Explanation and importance

Rex Boggs

Completing the square - paradox

RA4-22

pdf     docx

Statement of paradox

Rex Boggs

Derivations of the quadratic formula

RA4-18

pdf     docx

Derivations and some notes

Rex Boggs

Difference of two squares by folding and cutting

RA4-29

pdf     docx

Diagrams

Rex Boggs

The Twiner method of factorising quadratics

RA4-23

pdf     docx

Explanation

Rex Boggs

Mozart and the golden ratio

RA4-21

pdf     docx

Explanations and questions

Rex Boggs

Quadratic equations review activity

RA4-25

pdf     docx

Teacher instructions

Rex Boggs

Quadratic, power, exponential and simultaneous equation word problems

RA4-5

pdf     docx

Worksheet

David Ilsley

Simultaneous equations investigation

RA4-26

pdf     docx

Guided investigation

Rex Boggs

Introduction to simultaneous equations

RA4-27

pdf     docx

Worksheet

Rex Boggs

Simultaneous equations by elimination

RA4-30

pdf     docx

Worksheet

Rex Boggs

Number Tricks Using Algebra

RA4-9

pdf     docx

Worksheet

Rex Boggs

Number magic trick

RA4-11

pdf     docx

Trick prompting proof

Rex Boggs

'Name the erased digit' magic trick

RA4-15

pdf     docx

Instructions and explanation

Rex Boggs

Two 'binomial x binomial' magic tricks

RA4-14

pdf     docx

Instructions and explanation

Rex Boggs

Algebraic proofs using calendars

RA4-8

pdf     docx

Reproducible calendar extracts

Rex Boggs

Proof that 2=1

RA4-13

pdf     docx

Proof

Rex Boggs

Algebra

RA4-6

pdf     docx

Revision sheets

David Ilsley

Checking for algebra understanding

RA4-16

pdf     docx

5 questions

Rex Boggs

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Shared Resources:   A5:   Algebra - Level 5 (Year 10-11)

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M1Maths modules - Algebra Level 5

list

Modules for students

David Ilsley

Algebra problems

RA5-1

pdf     docx

Set of problems

Rex Boggs

Summary of the 10 index laws

RA5-8

pdf     docx

List

Rex Boggs

Introducing negative indices

RA5-9

pdf     docx

Worksheet

Rex Boggs

Negative indices explained diagrammatically

RA5-10

png

Diagram

Rex Boggs

Record rainfall events (power functions)

RA5-2

pdf     docx

Tables and graph

Rex Boggs

Curving grades - The square root curve

RA5-6

pdf     docx

Task sheet

Rex Boggs

Mission Possible - Exponential functions introduction

RA5-5

pdf     docx

Task sheet

Rex Boggs

Exponential Equations

RA5-15

pdf     docx

Worksheet

David Ilsley

How functions grow

RA5-7

pdf     docx

Reading for teachers

Rex Boggs

Exponential and Logarithmic Functions - Revision

RA5-14

pdf     docx

Revision sheet

David Ilsley

Simultaneous equations - various

RA5-11

png

Worksheet

Rex Boggs

Polygon question - Finding a function

RA5-3

pdf     docx

Question

Rex Boggs

Finite differences

RA5-12

pdf     docx

Worksheets / Investigation

Rex Boggs

Crossing the river

RA5-13

pdf     docx

Guided investigation

Rex Boggs

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

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M1Maths modules - Algebra Level 6

list

Modules for students

David Ilsley

Combinatorics - Card shuffling

RA6-16

pdf     docx

Assignment with solutions

David Ilsley

Combinatorics, Vectors

RA6-14

pdf     docx

Test

David Ilsley

Combinatorics, vectors, matrices

RA6-15

pdf     docx

Exam with solutions

David Ilsley

APs and GPs

RA6-5

pdf     docx

Worksheet with answers

David Ilsley

Sums of geometric series

RA6-1

pdf     docx

Guided investigation

David Ilsley

Sequences other than APs and GPs

RA6-10

pdf     docx

Lesson plan

David Ilsley

Groups, Sequences, Matrices

RA6-13

pdf     docx

Exam with solutions

David Ilsley

Groups, Sequences, Complex numbers, Matrices

RA6-12

pdf     docx

Test with answers

David Ilsley

Trig identities

RA6-11

pdf     docx

List and self-test

David Ilsley

Sinusoidal functions

RA6-4

pdf     docx

Revision sheets

David Ilsley

Unit circle, exact values, trig functions and equations

RM6-1

pdf     docx

Revision sheet with answers

David Ilsley

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

RA6-3

pdf     docx

Revision sheet with answers

David Ilsley

Groups

RA6-9

pdf     docx

Introduction to groups

David Ilsley

Finite differences

RA6-8

pdf     docx

Extension ideas

David Ilsley

Summation and finite differences

RA6-7

pdf     docx

Worksheet with answers

David Ilsley

Calculus, Periodic functions, Complex numbers

RC6-10

pdf     docx

Exam with solutions

David Ilsley

Calculus, Complex numbers, Trig functions

RC6-9

pdf     docx

Revision sheet with solutions

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

RN6-6

pdf     docx

Exam with solutions

David Ilsley

Polar graphs

RIN6-2

pdf     docx

Artistic graphs

David Ilsley

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Shared Resources - Measurement

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   M1:   Measurement - Level 1 (Year 7)

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M1Maths modules - Measurement Level 1

list

Modules for students

David Ilsley

Formula for Easter's date

RM1-6

pdf     docx

Instructions

Rex Boggs

Units of measurement (comprehensive)

RM1-2

pdf     docx

Information

Rex Boggs

Estimating and measuring length

RM1-3

pdf     docx

Work sheet

Rex Boggs

Length and perimeter

RM1-1

pdf     docx

Unit of work

David Ilsley

Volume of rectangular prism

RM1-4

pdf     docx

Guided discovery

Rex Boggs

Concentration game - Perimeters and areas of rectangles

RM1-5

pdf     docx

Cards to cut out

Rex Boggs

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Shared Resources:   M2:   Measurement - Level 2 (Year 8)

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M1Maths modules - Measurement Level 2

list

Modules for students

David Ilsley

Random time questions

RM2-11

pdf     docx

Question sheet

Rex Boggs

A single area formula for all shapes

RM2-20

pdf     docx

Explanation

Rex Boggs

Metric and non-metric units for length

RM2-15

pdf     docx

Problem sheet

Rex Boggs

Understanding length, area, volume

RM2-18

pdf     docx

Discussion starters

Rex Boggs

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

RM2-1

pdf     docx

Extended task

David Ilsley

Perimeters

RM2-6

pdf     docx

Work sheet with answers

Rex Boggs

Perimeter and area quiz

RM2-7

pdf     docx

Work sheet

Rex Boggs

Area

RM2-8

pdf     docx

Worked examples

Rex Boggs

Perimeter and area

RM2-9

pdf     docx

Information and practice questions

Rex Boggs

Areas of rectangles

RM2-17

pdf     docx

Worksheet

Rex Boggs

Areas of parallelograms and trapeziums

RM2-19

pdf     docx

Guided derivation task

Rex Boggs

Measuring and calculating areas of triangles

RM2-16

pdf     docx

Worksheet

Rex Boggs

Areas of trapezoids

RM2-14

pdf     docx

Worksheet

Rex Boggs

Maths with tangrams

RM2-3

pdf     docx

Teaching suggestions

Rex Boggs

Formulae for round things

pdf

Teaching suggestion

David Ilsley

Circumference and area of circles

RM2-13

pdf     docx

Worksheet

Rex Boggs

Area of a circle - annulus method

RM2-4

pdf     docx

Discovery guide

Rex Boggs

Fishie - areas of irregular shapes and circles

RM2-5

pdf     docx

Worksheet with some answers

Rex Boggs

Area review

RM2-10

pdf     docx

Work sheet

Rex Boggs

Heron's formula

RM2-21

pdf     docx

Statement and questions

Rex Boggs

The big dog - Construction problem

RM2-12

pdf     docx

Task sheet

Rex Boggs

Measurement Levels 1 and 2

RM2-2

pdf     docx

Revision sheets

David Ilsley

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Shared Resources:   M3:   Measurement - Level 3 (Year 9)

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M1Maths modules - Measurement Level 3

list

Modules for students

David Ilsley

Pythagoras and right-angle trigonometry

RM3-4

pdf     docx

Revision sheet

David Ilsley

Pythagoras and right-angle trigonometry

RM3-6

pdf     docx

Revision sheets

David Ilsley

Areas of pizza when diameter is increased

RM3-8

pdf     docx

Task sheet

Rex Boggs

Pythagoras on a 3-4-5 triangle

RM3-10

pdf     docx

Diagram

Rex Boggs

Perimeter, area, volume

RM3-11

pdf     docx

Review questions

Rex Boggs

Trigonometry terms and definitions

RM3-12

pdf     docx

Information sheet

Rex Boggs

Alternative introduction to trigonometry

RM3-13

pdf     docx

Information sheet

David Ilsley

How Pythagoras' theorem may have been discovered

RM3-14

pdf     docx

Diagram of a tiled floor

Rex Boggs

Pythagoras' theorem - Discovery lesson

RM3-15

pdf     docx

Instructions

Rex Boggs

Pythagoras' theorem - Word problems

RM3-16

pdf     docx

Worksheet

Rex Boggs

Pythagoras - Series of lessons

RM3-17

pdf     docx

Worksheets

Rex Boggs

Trigonometry exercises

RM3-18

pdf     docx

Worksheet

Rex Boggs

Finding the gradient of a line

RM3-22

pdf     docx

Worksheet

Rex Boggs

Gradient, length and mid-point of a line

RM3-23

pdf     docx

Worksheet

David Ilsley

Perimeters of compound shapes

RM3-9

pdf     docx

Worksheet

Rex Boggs

Areas of plane shapes

RM3-20

pdf     docx

Worksheet

Rex Boggs

Measuring and calculating areas of polygons

RM3-19

pdf     docx

Worksheet with answers

Rex Boggs

Areas word problems

RM3-21

pdf     docx

Worksheet

Rex Boggs

Area, volume and data in the context of rain

RM3-2

pdf     docx

Extended task

David Ilsley

Areas of rectangles, triangles and compound shapes

RM3-3

jpg

Worksheet

David Ilsley

Simple and compound shapes for measurement and area calculation

RM3-5

jpg

Worksheet

David Ilsley

Areas of compound shapes

RM3-7

pdf     docx

Worksheet

Rex Boggs

Effect of multiplying dimensions on length, area and volume

RM3-1

pdf     docx

Worksheet for discovery learning

David Ilsley

Measurement - General revision sheet

RM3-24

pdf     docx

Revision sheet

David Ilsley

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Shared Resources:   M4:   Measurement - Level 4 (Year 10)

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M1Maths modules - Measurement Level 4

list

Modules for students

David Ilsley

Gradient

RM4-1

pdf     docx

Series of lessons

David Ilsley

Length, Area, Volume

RM4-2

pdf     docx

Revision sheet

David Ilsley

Mensuration formulae

RM4-5

pdf     docx

Catalogue

Rex Boggs

Volume problems

RM4-7

pdf     docx

Worksheet

Rex Boggs

How much does a cloud weigh?

RM4-4

pdf     docx

Task sheet

Rex Boggs

Surface area of a hand

RM4-6

pdf     docx

Assignment

Rex Boggs

Surface area of a cone

RM4-9

pdf     docx

Guided derivation task

Rex Boggs

Surface area problems

RM4-8

pdf     docx

Worksheet

Rex Boggs

Measurement, Level 4

RM4-3

pdf     docx

Revision sheets

David Ilsley

Area and volume revision

RM4-10

pdf     docx

Revision sheet

Rex Boggs

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Shared Resources:   M5:   Measurement - Level 5 (Years 10-11)

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M1Maths modules - Measurement Level 5

list

Modules for students

David Ilsley

Unit circle for reading off trig values

RM5-1

pdf     docx

Circle with instructions

David Ilsley

Problem with Pythagoras and circles

RM5-2

pdf     docx

Statement of problem

David Ilsley

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

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M1Maths modules - Measurement Level 6

list

Modules for students

David Ilsley

Unit circle, exact values, trig functions and equations

RM6-1

pdf     docx

Revision sheet

David Ilsley

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

RM6-2

pdf     docx

Revision sheet with answers

David Ilsley

Sine and cosine rules

RM6-3

pdf     docx

Revision sheet

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

RM6-6

pdf     docx

Exam with solutions

David Ilsley

Bretschneider's formula - area of a quadrilateral

RM6-4

pdf     docx

Statement and derivation

Rex Boggs

Magic hexagon for trig identities

RM6-5

pdf     docx

Explanation

Rex Boggs

Proving trig identities

RM6-6

pdf     docx

Instructions

Rex Boggs

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Shared Resources - Geometry

Level 1       Level 2       Level 3       Level 4       Level 5       . . . .

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

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Shared Resources:   G1:   Geometry - Level 1 (Year 7)

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M1Maths modules - Geometry Level 1

list

Modules for students

David Ilsley

Estimating and measuring angles 1

RG1-4

pdf     docx

Work sheet

Rex Boggs

Estimating and measuring angles 2

RG1-5

pdf     docx

Work sheet

Rex Boggs

Numberless protractors - 360 degrees

RG1-1

pdf     docx

Transparency master

David Ilsley

Numberless protractors - 180 degrees

RG1-3

pdf     docx

Transparency master

Rex Boggs

Protractor Golf

pdf     docx

Instructions and materials

David Ilsley

Angle types

RG1-2

pdf     docx

Table to complete

Rex Boggs

Compass rose

RG1-7

pdf     docx

Picture

Rex Boggs

Coordinate bingo game - 1 quadrant

RG1-9

pdf     docx

Instructions and materials

Rex Boggs

Coordinate bingo game - 4 quadrants

RG1-8

pdf     docx

Instructions and materials

Rex Boggs

Coordinate bingo game - 4 quadrants

RG1-10

pdf     docx

Instructions and materials

Rex Boggs

Coordinate art

RG1-11

pdf     docx

Assignment (non-calculator and graphics calculator versions)

Rex Boggs

Coordinate join-the-dots (4 quadrants)

RG1-12

pdf     docx

Coordinate sequence to produce a picture

Rex Boggs

Coordinate activity (1 quadrant)

RG1-13

pdf     docx

Instructions and materials

Rex Boggs

T-Rex: Coordinate join-the-dots (4 quadrants)

RG1-14

pdf     docx

Instructions and materials

Rex Boggs

T-Rex: Coordinate communication task (1 quadrant)

RG1-15

pdf     docx

Instructions and materials

Rex Boggs

Latitude and longitude

RG1-6

pdf     docx

Work sheet

Rex Boggs

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Shared Resources:   G2:   Geometry - Level 2 (Year 8)

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M1Maths modules - Geometry Level 2

list

Modules for students

David Ilsley

Scales and scale drawings

RG2-20

pdf     docx

Worksheet

Rex Boggs

Decribing shapes

RG2-1

pdf     docx

Unit of work

David Ilsley

Angles, vocabulary, position, maps, drawings

RG2-2

pdf     docx

Revision sheets

David Ilsley

Finding angles

pdf

Suggestion for teachers

David Ilsley

Geometry theorems practice 1

RG2-3

pdf     docx

Worksheet

Rex Boggs

Geometry theorems practice 2

RG2-6

pdf     docx

Worksheet with answers

Rex Boggs

Geometric constructions

RG2-5

pdf     docx

Instructions

Rex Boggs

Angles in polygons

RG2-7

pdf     docx

Guided investigation

Rex Boggs

Parallel lines with transversal

RG2-18

pdf     docx

Discovery sheet

Rex Boggs

Finding polygons in a triangular grid

RG2-11

pdf     docx

Task sheet

Rex Boggs

Who am I? - Polygon names

RG2-14

pdf     docx

Work sheet

Rex Boggs

Properties of quadrilaterals

RG2-16

pdf     docx

Work sheet

Rex Boggs

Quadrilateral - What might it be?

RG2-17

pdf     docx

Work sheet

Rex Boggs

Nets of a cube

RG2-8

pdf     docx

Guided investigation

Rex Boggs

Platonic solids and their nets

RG2-9

pdf     docx

Information sheet

Rex Boggs

Images in a mirror

RG2-10

pdf     docx

Investigation instructions

Rex Boggs

Transformations with geoboards

RG2-12

pdf     docx

Task sheet

Rex Boggs

Transformations on a TI83

RG2-21

pdf     docx

Teacher notes

Rex Boggs

Line symmetry

RG2-4

pdf     docx

Worksheet

Rex Boggs

Lines of symmetry

RG2-13

pdf

Task sheet

Rex Boggs

Interpreting geometry word problems

RG2-19

pdf     docx

Work sheet

Rex Boggs

First lesson with geoboards

RG2-15

pdf     docx

Teacher notes

Rex Boggs

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Shared Resources:   G3:   Geometry - Level 3 (Year 9)

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M1Maths modules - Geometry Level 3

list

Modules for students

David Ilsley

Geometry theorems

RG3-2

pdf     docx

Worksheets

Rex Boggs

Alternatives for geometric theorems

RG3-1

pdf     docx

Suggestion for teachers

David Ilsley

Maths with tangrams

RM2-3

pdf     docx

Teaching suggestions

Rex Boggs

How to constuct Archimedes' spiral

RG3-3

pdf     docx

Instructions

Rex Boggs

Building a geodesic clubhouse

RG3-4

pdf     docx

Instructions

Rex Boggs

Proof in Year 9 Geometry

RG3-5

pdf     docx

Worksheet

Rex Boggs

Triangle inequality problem

RG3-6

pdf     docx

Worksheet

Rex Boggs

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Shared Resources:   G4:   Geometry - Level 4 (Year 10)

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M1Maths modules - Geometry Level 4

list

Modules for students

David Ilsley

Geometry facts for Years 7-10

RG4-2

pdf     docx

Summary sheets

Rex Boggs

Levels 1 to 4

RG4-1

pdf     docx

Revision sheets with answers

David Ilsley

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Shared Resources:   G5:   Geometry - Level 5 (Years 10-11)

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How big was the plate?

RG5-1

pdf     docx

Geometry problem

Rex Boggs

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Shared Resources - Statistics

Level 1       Level 2       Level 3       Level 4       Level 5       . . . .

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

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Shared Resources:   S1:   Statistics - Level 1 (Year 7)

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M1Maths modules - Statistics Level 1

list

Modules for students

David Ilsley

Statistics and Probability

RS1-1

pdf     docx

Revision sheets

David Ilsley

Mean, median, mode, range

RS1-4

pdf     docx

Revision sheets

David Ilsley

Bar graph - Open questions

RS1-2

pdf     docx

Questions

Rex Boggs

Code breaking with a frequency table

RS1-3

pdf     docx

Task with instructions

Rex Boggs

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Shared Resources:   S2:   Statistics - Level 2 (Year 8)

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M1Maths modules - Statistics Level 2

list

Modules for students

David Ilsley

Raw data for statistical analysis

RS2-2

xlsx

Spreadsheet of data

Rex Boggs

Mean, median, mode

RS2-4

pdf     docx

Work sheet

Rex Boggs

Which average - mean or median

RS2-5

pdf     docx

Work sheet

Rex Boggs

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Shared Resources:   S3:   Statistics - Level 3 (Year 9)

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M1Maths modules - Statistics Level 3

list

Modules for students

David Ilsley

Random sampling (Jelly Blubbers)

RS3-2

pdf     docx

Activity

Rex Boggs

Random sampling (Random Rectangles)

RS3-3

pdf    

Activity

Rex Boggs

Histograms, stem-and-leaf plots, box plots

RS3-1

pdf     docx

Revision sheets

David Ilsley

Histogram example with requirements

RS3-6

pdf     docx

Example

Rex Boggs

Making blank circle graph templates

RS3-4

pdf     docx

xlsx

Instructions and sample

Rex Boggs

Constructing a pie graph

RS3-5

pdf     docx

Work sheet

Rex Boggs

Which type of graph?

RS3-9

pdf     docx

Work sheet

Rex Boggs

Constructing a grouped frequency table and histogram

RS3-7

pdf     docx

Work sheet

Rex Boggs

Stemplot questions

RS3-10

pdf     docx

Work sheet

Rex Boggs

Greedy Pig and stem and leaf plots

RS3-11

pdf     docx

Game instructions

Rex Boggs

Using statistics to persuade

RS3-8

pdf     docx

Work sheet

Rex Boggs

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Shared Resources:   S4:   Statistics - Level 4 (Year 10)

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M1Maths modules - Statistics Level 4

list

Modules for students

David Ilsley

5-number summary

RS4-3

pdf     docx

Definition and questions

Rex Boggs

Linear regression with biological data

RS4-8

pdf     docx

Instructions and explanation

Rex Boggs

Linear regression on a TI-Nspire

RS4-10

pdf     docx

Instructions

Rex Boggs

What font size are you? (Regression)

RS4-11

pdf     docx

Task sheet

Rex Boggs

World records for the mile

RS4-2

pdf     docx

Table and questions

Rex Boggs

100 m sprint records

RS4-4

xlsx

Spreadsheet

Rex Boggs

Men's 1500 m freestyle records

RS4-5

xlsx

Spreadsheet

Rex Boggs

Women's 100 m breaststroke records

RS4-6

xlsx

Spreadsheet

Rex Boggs

Women's 100 m breaststroke records

RS4-7

pdf     docx

Table

Rex Boggs

Men's marathon records

RS4-9

pdf

List

Rex Boggs

Statistics questions

RS4-1

pdf     docx

Question sheet

David Ilsley

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Shared Resources:   S5:   Statistics - Level 5 (Years 10-11)

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M1Maths modules - Statistics Level 5

list

Modules for students

David Ilsley

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Shared Resources - Probability

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   P1:   Probability - Level 1 (Year 7)

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M1Maths modules - Probability Level 1

list

Modules for students

David Ilsley

Introduction to probability

RP1-5

pdf     docx

Teaching unit

Rex Boggs

Introducing Probability

RP1-1

pdf     docx

Teacher notes and student resources

David Ilsley

Spinners questions

RP1-3

pdf     docx

Worksheet

Rex Boggs

Thumb tack toss experiment

RP1-4

pdf     docx

Instructions and materials

Rex Boggs

Coin toss simulation

RP1-2

xlsx

Spreadsheet with instructions

David Ilsley

Statistics and Probability

RS1-1

pdf     docx

Revision sheets

David Ilsley

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Shared Resources:   P2:   Probability - Level 2 (Year 8)

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M1Maths modules - Probability Level 2

list

Modules for students

David Ilsley

2-dice outcomes tables

RP2-1

pdf     docx

Recording sheet

Rex Boggs

Dice Races (Game)

RP2-2

pdf     docx

Instructions and recording sheets

Rex Boggs

Unders and overs (Gambling game)

RP2-3

pdf     docx

Instructions and task sheet

Rex Boggs

Prisoner (Dice difference probability distribution game)

RP2-4

pdf     docx

Instructions and game sheet

Rex Boggs

Dice difference (game)

RP2-6

pdf     docx

Instructions and questions

Rex Boggs

Questions aimed at probability misconceptions

RP2-5

pdf     docx

Question sheet and answers

Rex Boggs

Probability questions

RP2-7

pdf     docx

Work sheet

Rex Boggs

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Shared Resources:   P3:   Probability - Level 3 (Year 9)

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M1Maths modules - Probability Level 3

list

Modules for students

David Ilsley

Sets, tree, Venn and Karnaugh diagrams

RP3-1

pdf

Worksheet with answers

James Spithill

Dice

RP3-3

xlsx

Excel simulation

Helen Chick

Biased die

RP3-4

xlsx

Excel simulation

Helen Chick

Toss dice 10 times

RP3-5

xlsx

Excel simulation

Helen Chick

Spinner

RP3-6

xlsx

Excel simulation

Helen Chick

Two spinner odd even

RP3-7

xlsx

Excel simulation

Helen Chick

Coin and dice runs

RP3-8

xlsx

Excel simulation

Helen Chick

Cereal box toy simulation

RP3-2

pdf     docx

Worksheet

Rex Boggs

Birthday problem (twins)

RP3-9

xlsx

Excel simulation

Helen Chick

Birthday month (twin)

RP3-10

xlsx

Excel simulation

Helen Chick

Probability simulation with a graphics calculator

RP3-11

pdf     docx

Instructions for TI

Rex Boggs

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Shared Resources:   P4:   Probability - Level 4 (Year 10)

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M1Maths modules - Probability Level 4

list

Modules for students

David Ilsley

Birthdays problem

RP4-1

pdf     docx

Explanation and solution

Rex Boggs

Roller Derby game for probability distributions

RP4-2

pdf     docx

Rules and game board

Rex Boggs

Multo game for probability distributions

RP4-3

pdf     docx

xls

Game and assignment

Rex Boggs

Design-a-die - expected values, simulation

RP4-4

pdf     docx

xls

Guided investigation / assignment

Rex Boggs

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Shared Resources:   P5:   Probability - Level 5 (Years 10-11)

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Betting odds and bookmakers

RP5-1

pdf     docx

Problem with explanation

Rex Boggs

Lotto simulation

RP5-2

pdf     docx

Lesson idea

Rex Boggs

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

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M1Maths modules - Probability Level 6

list

Modules for students

David Ilsley

Binomial distributions

RP6-1

pdf     docx

Practice questions with answers

David Ilsley

Normal distributions

RP6-2

pdf     docx

Practice questions, some with answers

David Ilsley

Prisoner (Dice difference probability distribution game)

RP2-4

pdf     docx

Instructions and game sheet

Rex Boggs

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Shared Resources - Calculus

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

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

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

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M1Maths modules - Calculus Level 6

list

Modules for students

David Ilsley

Basics of calculus

RC6-1

pdf     docx

Summary

David Ilsley

Introduction to calculus concepts

RC6-3

pdf     docx

Series of tasks

David Ilsley

Differential equations

RC6-2

pdf     docx

Teacher notes (hand-written)

David Ilsley

Differential equations

RC6-4

pdf     docx

Worksheet with solutions

David Ilsley

Applications of dydx=f(y)

RC6-5

pdf     docx

Worksheet with solutions

David Ilsley

Variable acceleration

RC6-6

pdf     docx

Worksheet with solutions

David Ilsley

Circular motion and simple harmonic motion

RC6-7

pdf     docx

Worksheet with solutions

David Ilsley

Numerical solution of differential equations

RC6-8

xlsx

Spreadsheet

David Ilsley

Vector calculus

RC6-5

pdf     docx

Exam with solutions

David Ilsley

Calculus, Complex numbers, Trigonometric functions

RC6-9

pdf     docx

Revision sheet with solutions

David Ilsley

Calculus, Periodic functions, Complex numberss

RC6-10

pdf     docx

Exam with solutions

David Ilsley

Calculus - MacLaurin, Complex numbers

RC6-11

pdf     docx

Assignment with solutions

David Ilsley

Calculus, SHM, Circular motion

RC6-12

pdf     docx

Exam with solutions

David Ilsley

Calculus, Air resistance, Numerical methods

RC6-13

pdf     docx

xlsx

Assignment with solutions

David Ilsley

Numerical solution of differential quations using spreadsheets

pdf     xlsx

Suggestion for teachers

David Ilsley

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Shared Resources - Vectors and Matrices

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

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

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

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M1Maths modules - Vectors

pdf     docx

Module for students

David Ilsley

M1Maths modules - Matrices

pdf     docx

Module for students

David Ilsley

Transformations

RV6-1

pdf     docx

Explanation and practice with answers

David Ilsley

Vectors and projectiles

RV6-2

pdf     docx

Worksheet with solutions

David Ilsley

Matrices and vectors

RV6-3

pdf     docx

Worksheet with answers

David Ilsley

Resolving forces

RV6-4

pdf     docx

Worksheet with answers

David Ilsley

Real and complex numbers, matrices

RN6-4

pdf     docx

Exam with solutions

David Ilsley

Groups, Sequences, Complex numbers, Matrices

RA6-12

pdf     docx

Test with answers

David Ilsley

Groups, Sequences, Matrices

RA6-13

pdf     docx

Exam with solutions

David Ilsley

Combinatorics, Vectors

RA6-14

pdf     docx

Test

David Ilsley

Combinatorics, vectors, matrices

RA6-15

pdf     docx

Exam with solutions

David Ilsley

Vector calculus

RV6-5

pdf     docx

Exam with solutions

David Ilsley

Matrices, Vectors, Sequences

RV6-6

pdf     docx

Exam with solutions

David Ilsley

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Shared Resources - Mental Arithmetic

Level 1       Level 2       Level 3       Level 4       Level 5       . . . .

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

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Shared Resources:   MA1:   Mental Arithmetic - Level 1 (Year 7)

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M1Maths modules - Mental arithmetic

pdf     docx

Modules for students

David Ilsley

Multiplication number facts

RMA1-1

pdf

Flash cards

Rex Boggs

Number facts

RMA1-2

pdf     docx

Puzzle

Rex Boggs

Blank multiplication tables

RMA1-3

pdf     docx

Masters

Rex Boggs

Multiplication facts - Self evaluation

RMA1-4

pdf     docx

Master

Rex Boggs

Multiplication and addition facts - Diagnostic test

RMA1-5

pdf     docx

Master

Rex Boggs

Filled multiplication table to 12

RMA1-6

pdf     docx

Master

Rex Boggs

Multiplication table and ten-frames

RMA1-7

pdf     docx

Instructions and materials

Rex Boggs

Teaching addition facts with understanding

RMA1-8

pdf     docx

Reading

Rex Boggs

Number facts card game

RMA1-9

pdf     docx

Instructions

Rex Boggs

Addition and subtraction facts

RMA1-10

pdf     docx

Diagnosic test

Rex Boggs

Multiplication facts

RMA1-11

pdf     docx

Practice sheet

Rex Boggs

Number fact families

RMA1-12

pdf     docx

Explanation

Rex Boggs

Mixed multiplication and division facts

RMA1-13

pdf     docx

Practice sheets

Rex Boggs

Multiplication facts - Ordered

RMA1-14

pdf

Practice sheet

Rex Boggs

Multiplication facts - Random order

RMA1-15

pdf

Practice sheets

Rex Boggs

Division facts - Random order

RMA1-16

pdf

Practice sheets

Rex Boggs

Vedic multiplication

RMA1-17

pdf     docx

Instructions

Rex Boggs

Add to ... - Mental addition game

RMA1-18

pdf     docx

Instructions and materials

Rex Boggs

Golf - Mental addition game

RMA1-19

pdf     docx

Instructions

Rex Boggs

Calculating the day of the week for any year

RMA1-20

pdf     docx

Instructions

Rex Boggs

Mental computation strategies

RMA1-21

pdf     docx

Instructions with examples

Rex Boggs

Blank number line for addition and subtraction

RMA1-22

pdf     docx

Instructions and materials

Rex Boggs

Addition, multiplication and division facts

RMA1-23

pdf     docx

Drill sheets

Rex Boggs

Bingo (class game) Adaptable for all levels

pdf     docx

Instructions

David Ilsley

Number facts race (class game)

pdf     docx

Instructions

David Ilsley

Target (class game) Adaptable for all levels

pdf     docx

Instructions and materials

David Ilsley

Stomp (game)

pdf     docx

Instructions and materials

David Ilsley

Multiplying and dividing by small numbers

RMA1-24

pdf     docx

Strategies with examples

Rex Boggs

Squaring 2-digit numbers mentally

RMA1-25

pdf     docx

Strategies

Rex Boggs

Square roots mentally

RMA1-26

pdf     docx

Strategy with examples

Rex Boggs

Double-digit game

RMA1-27

pdf     docx

Instructions

Rex Boggs

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Shared Resources:   MA2:   Mental Arithmetic - Level 2 (Year 8)

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M1Maths modules - Mental arithmetic

pdf     docx

Modules for students

David Ilsley

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Shared Resources:   MA3:   Mental Arithmetic - Level 3 (Year 9)

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M1Maths modules - Mental arithmetic

pdf     docx

Modules for students

David Ilsley

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Shared Resources:   MA4:   Mental Arithmetic - Level 4 (Year 10)

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M1Maths modules - Mental arithmetic

pdf     docx

Modules for students

David Ilsley

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Shared Resources:   MA5:   Mental Arithmetic - Level 5 (Years 10-11)

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M1Maths modules - Mental arithmetic

pdf     docx

Modules for students

David Ilsley

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Shared Resources - Problem Solving

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   PS1:   Problem Solving - Level 1 (Year 7)

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M1Maths modules - Problem solving

pdf     docx

Modules for students

David Ilsley

Strategies for problem solving

RPS1-3

pdf     docx

Worksheet with answers

Rex Boggs

Problem solving strategies

RPS1-4

pdf     docx

List of strategies

Rex Boggs

Alphametics - addition puzzles

RPS1-5

pdf     docx

Work sheet with answers

Rex Boggs

Foxy Fives - puzzles with whole numbers

RPS1-6

pdf     docx

Work sheets

Rex Boggs

Puzzle with unknowns

RPS1-1

pdf     docx

Problem with solution and rubric

Rex Boggs

Turkey trapping puzzle

RPS1-2

pdf     docx

Problem

Rex Boggs

Measuring out with ungraduated buckets

RPS1-4

pdf     docx

Assignment with solutions

Rex Boggs

Assorted puzzles

RPS1-8

pdf     docx

Question sheet

Rex Boggs

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Shared Resources:   PS2:   Problem Solving - Level 2 (Year 8)

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M1Maths modules - Problem solving

pdf     docx

Modules for students

David Ilsley

Settlers - Quick problems to start lessons

RPS2-2

pdf     docx

Sheets of problems with answers

David Ilsley

Problems

RPS2-4

pdf     docx

Problem sheets

Rex Boggs

Stepping stones problem

RPS2-3

pdf     docx

Problem sheet

Rex Boggs

Length problems

RPS2-5

pdf     docx

Problem sheets

Rex Boggs

Fraction problems

RPS2-1

pdf     docx

Sheets of problems with answers

Rex Boggs

A great fraction problem

RPS2-6

pdf     docx

Problem with surprising answer

Rex Boggs

Why you can't have the day off

RPS2-7

pdf     docx

Problem statement

Rex Boggs

Group Problem Solving (class competition) Adaptable for all levels

pdf     docx

Instructions and materials

David Ilsley

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Shared Resources:   PS3:   Problem Solving - Level 3 (Year 9)

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M1Maths modules - Problem solving

pdf     docx

Modules for students

David Ilsley

Quick problems to start lessons

RPS3-1

pdf     docx

Sheet of problems with answers

David Ilsley

Mind reading (magic trick) Useable at all levels

pdf     docx

Instructions

David Ilsley

Pythagoras on expanding railway track

RPS3-3

pdf     docx

Guided investigation

Rex Boggs

Hard problem

RPS3-2

pdf     docx

Problem

Rex Boggs

Fermi problems

RPS3-4

pdf     docx

List of problems

Rex Boggs

Fermi problems

RPS3-5

pdf     docx

List of problems

Rex Boggs

Fermi problems - Overview

RPS3-6

pdf     docx

Information

Rex Boggs

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Shared Resources:   PS4:   Problem Solving - Level 4 (Year 10)

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M1Maths modules - Problem solving

pdf     docx

Modules for students

David Ilsley

Multiplication and division problems

RPS4-3

pdf     docx

Problem sheet

Rex Boggs

New language puzzle

RPS4-2

pdf     docx

Puzzle with answer

Rex Boggs

Challenging problems

RPS4-1

pdf     docx

Problems, some with answers

Rex Boggs

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Shared Resources:   PS5:   Problem Solving - Level 5 (Years 10-11)

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M1Maths modules - Problem solving

pdf     docx

Modules for students

David Ilsley

Counting squares and triangles

RPS5-2

pdf     docx

Task sheet with answers

Rex Boggs

Chess board and wheat problem - Exponential growth

RPS5-3

pdf     docx

Statement of problem

Rex Boggs

Sequence problem

RPS5-1

pdf     docx

Problem

Rex Boggs

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Shared Resources:   PS6:   Problem Solving - Level 6 (Years 11-12)

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M1Maths modules - Problem solving

pdf     docx

Modules for students

David Ilsley

Bouncing ball (geometric sequences)

RPS6-1

pdf     docx

Problem

David Ilsley

Structures and patterns problems

RPS6-3

pdf     docx

Statement of problems

Rex Boggs

Packing circles problem

RPS6-2

pdf     docx

Statement of problem

Rex Boggs

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Shared Resources - Investigating

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   IN1:   Investigating - Level 1 (Year 7)

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M1Maths modules - Investigating

pdf     docx

Modules for students

David Ilsley

Working as a mathematician

RIN1-1

pdf     docx

Instructions

Rex Boggs

A4 paper - what it means

RIN1-2

pdf     docx

Investigation instructions

Rex Boggs

The most amazing number - 142857

RIN1-3

pdf     docx

Guided investigation

Rex Boggs

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Shared Resources:   IN2:   Investigating - Level 2 (Year 8)

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M1Maths modules - Investigating

pdf     docx

Modules for students

David Ilsley

Magic squares

RIN2-4

pdf     docx

Investigation - Around Level 2

David Ilsley

MULTO Investigation - Multiplication facts and factors

RIN2-1

pdf     docx

Guided investigation

Rex Boggs

MULTO Investigation - Teacher version

RIN2-2

pdf     docx

Teacher notes

Rex Boggs

MULTO Investigation - Multiplication facts and factors

RIN2-3

xlsx

Spreadsheet-generated cards

Rex Boggs

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Shared Resources:   IN3:   Investigating - Level 3 (Year 9)

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M1Maths modules - Investigating

pdf     docx

Modules for students

David Ilsley

Fibonacci remainders

RIN3-2

pdf     docx

Directed investigation

Rex Boggs

Euler's Rule

RIN3-3

pdf     docx

Directed investigation

Rex Boggs

Perimeter and area investigation

RIN3-1

pdf     docx

Guided investigation

Rex Boggs

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Shared Resources:   IN4:   Investigating - Level 4 (Year 10)

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M1Maths modules - Investigating

pdf     docx

Modules for students

David Ilsley

9 digits puzzle

RIN4-2

pdf     docx

Guided investigation

Rex Boggs

Picking pizza from diameter and price

RIN4-1

pdf     docx

Guided investigation

Rex Boggs

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Shared Resources:   IN5:   Investigating - Level 5 (Years 10-11)

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M1Maths modules - Investigating

pdf     docx

Modules for students

David Ilsley

Staircase numbers - numbers writable as sums of consecutive numbers

RIN5-1

pdf     docx

Guided invesigation

Rex Boggs

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

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Investigation involving linear functions, APs and GPs

pdf     docx

Worksheet

Rex Boggs

Sequences - Square snowflakes

RIN6-1

pdf     docx

Guided investigation

David Ilsley

Polar functions - Art

RIN6-2

pdf     docx

Art creation

David Ilsley

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Shared Resources - Modelling

. . . .       Level 2       . . . .       Level 4       Level 5       . . . .

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

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Shared Resources:   MO2:   Modelling - Level 2 (Year 8)

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Arithmetical problems

RMO2-1

pdf     docx

Modelling tasks

Rex Boggs

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Shared Resources:   MO4:   Modelling - Level 4 (Year 10)

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Quadratic models

RMO4-1

pdf     docx

Modelling tasks

Rex Boggs

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Shared Resources:   MO5:   Modelling - Level 5 (Year 10-11)

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Whelk bashing - model functions

RMO5-1

pdf     docx

Modelling task

Rex Boggs

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Shared Resources - Algorithms

. . . .       . . . .       . . . .       . . . .       . . . .       . . . .

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

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Shared Resources - Communication and Proof

Level 1       Level 2       Level 3       Level 4       Level 5       Level 6

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

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Shared Resources:   CP1:   Communication and Proof - Level 1 (Year 7)

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M1Maths modules - Communicating

pdf     docx

Modules for students

David Ilsley

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Shared Resources:   CP2:   Communication and Proof - Level 2 (Year 8)

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M1Maths modules - Communicating

pdf     docx

Modules for students

David Ilsley

Back to Back (student activity)

pdf     docx

Teacher instructions

David Ilsley

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Shared Resources:   CP3:   Communication and Proof - Level 3 (Year 9)

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M1Maths modules - Communicating

pdf     docx

Modules for students

David Ilsley

Graphical proof of Pythagoras' theorem

RCP3-1

pdf     docx

OHT master

Rex Boggs

Proof in Year 9 Geometry

RG3-5

pdf     docx

Worksheet

Rex Boggs

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Shared Resources:   CP4:   Communication and Proof - Level 4 (Year 10)

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M1Maths modules - Communicating

pdf     docx

Modules for students

David Ilsley

Geometric proofs

pdf     docx

M1Maths module

David Ilsley

Patterns and proof

RCP4-2

pdf     docx

Teacher notes

Rex Boggs

Proof that 2 = 1

RCP4-1

pdf     docx

Proof

Rex Boggs

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Shared Resources:   CP5:   Communication and Proof - Level 5 (Years 11-12)

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M1Maths modules - Communicating

pdf     docx

Modules for students

David Ilsley

Conclusion to prove

RCP5-1

pdf     docx

Task sheet

Rex Boggs

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

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M1Maths modules - Communicating

pdf     docx

Modules for students

David Ilsley

Proof by exhaustion, contradiction, deduction, induction

RCP6-1

pdf     docx

Introduction with examples

David Ilsley

Complex numbers, Trig IDs, Sequences, Induction

RCP6-6

pdf     docx

Exam with solutions

David Ilsley

Three hard problems

RCP6-2

pdf     docx

Problems with solutions

Rex Boggs

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Shared Resources - Multi-Strand

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

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

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

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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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Shared Resources:   MS7:   Multi-strand - Multi-level

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All strands, Levels 1 to 4 +

RMS7-1

pdf     docx

Summary of major concepts

David Ilsley

Various strands, Levels 1-4

RMS7-4

pdf     docx

Revision sheets

David Ilsley

Various

RMS7-6

pdf     docx

Whiteboard Templates

Rex Boggs

A4 square grids, 1 cm and 5 mm

RMS7-2

pdf     docx

Stationery

David Ilsley

Instructional Maths Games

RMS7-3

pdf     docx

Games

Rex Boggs

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Shared Resources - Readings for Teachers

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Why do mental arithmetic?

READ-10

pdf     docx

Article

Rex Boggs

Building initial fraction concepts

READ-11

pdf     docx

Article

Rex Boggs

Algebra as the study of relations

pdf

Article

David Ilsley

How Rex teaches Algebra, Geometry, Stats and Probability

READ-1

pdf   flipchart

Presentation flipchart

Rex Boggs

How Rex teaches Numeracy, Percentages and Measurement

READ-2

pdf   flipchart

Presentation flipchart

Rex Boggs

The case for direct instruction

READ-3

pdf   flipchart

Presentation flipchart

Rex Boggs

Cognitive load theory

READ-4

pdf

Presentation

Rex Boggs

Use of diagnostic questions

READ-5

pdf     docx

Flow chart

Rex Boggs

Avoiding Confusion in Probability

READ-6

pdf     docx

Article

David Ilsley

Learning Mesuration Formulae

READ-7

pdf     docx

Article

David Ilsley

Bad language in the maths classroom

pdf

Article

David Ilsley

1936 scholarship exam - Maths, Queensland

READ-8

pdf

Test for entry to high school

Rex Boggs

'Mathlete' smashes human calculation record

READ-9

pdf     docx

Report

Rex Boggs

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