Downloads

All the downloads listed on this page have been created by me (Graeme Henderson).  They are either entirely my creative work (usually with my name, Graeme Henderson, or Crystal Clear Mathematics listed on them), or they are scans of money or historical books or other documents.

I retain copyright over my original works.  You are free to use them and distribute them freely, but not to use them for commercial gain or to present them as your own work.  If you use these resources, you do not have my permission to remove my identifying features (my name or the name of Crystal Clear Mathematics).

History of Mathematics

	Label from an early Milo tin showing Milo carrying the bull. (JPG IMAGE)
	Page from Robert Recorde's Whetstone of Witte in which he invents the equals sign. (JPG IMAGE)
	Page from Edward Kasner's book Mathematics and the Imagination re invention of the googol. (JPG IMAGE)

Hands On

Piece of paper cut in an unusual way (JPG IMAGE)

Number

	Illustration of multiplication using fingers. (JPG IMAGE)
	Workbook with randomised addition and subtraction questions for speed and accuracy. (MS EXCEL WORKBOOK)
	Illustration of Fermat's Last Theorem. (JPG IMAGE)
	Simple illustration showing the evaluation of a determinant. (JPG IMAGE)
	Illustration of Euler's Formula involving complex numbers and trigonmetric functions. (JPG IMAGE)

Measurement

	Illustration of how mathematicians used to show sexaguesimal parts for angle and time calculations. (JPG IMAGE)
	John Wallis' Mathesis Universalis (p 53) showing sexaguesimal parts for angle/time calculations. (JPG IMAGE)
	Illustration of the two principle statements of quantum uncertainty. (JPG IMAGE)
	Images of Australian pre-Decimal Currency. (COLLECTION OF JPG IMAGES)
	Illustration representing perimeter, area and volume. (JPG IMAGE)
	Copy of the cover of my book Concerning the Finding of Areas. (JPG IMAGE)
	My Booklet Concerning the Finding of Areas. (PDF FILE ~ 15 PAGES)
	Poster illustrating SOHCAHTOA. (JPG IMAGE)
	Poster illustrating the two triangles used for exact ratios in trigonometry. (JPG IMAGE)
	Poster illustrating the Sine Rule. (JPG IMAGE)
	Poster illustrating the Area Rule. (JPG IMAGE)
	Poster illustrating the Cosine Rule. (JPG IMAGE)
	Poster showing the unit circle showing the three major trigonometric ratios as lengths. (JPG IMAGE)
	Poster showing the first Pythagorean Identity on the Unit Circle sin²θ + cos²θ ≡ 1. (JPG IMAGE)
	Poster showing the second Pythagorean Identity on the Unit Circle tan²θ + 1 ≡ sec²θ. (JPG IMAGE)
	Poster showing the third Pythagorean Identity on the Unit Circle 1 + cot²θ ≡ cosec²θ. (JPG IMAGE)
	Poster showing the third Pythagorean Identity on the Unit Circle 1 + cot²θ ≡ csc²θ. (JPG IMAGE)
	Poster showing how to solve sinx = 0.5 (emphasising the clear setting out of work). (JPG IMAGE)
	Poster showing a simple ratio between groups of people. (JPG IMAGE)

Geometry

	Poster showing congruency and similarity (and the symbols used) in a very simple way. (JPG IMAGE)
	Illustration of a fundamental theorem of circle geometry. (JPG IMAGE)
	A simple graph representing Leonard Euler's Koenigsberg Bridge Problem. (JPG IMAGE)
	Illustration of some computer network topologies. (JPG IMAGE)

Algebra

	Poster showing a generic binomial product (with arrows but without the FOIL notation). (JPG IMAGE)
	Poster showing the solution to a non-monic quadratic equation (and showing setting out of work). (JPG IMAGE)
	Randomised Drill exercises for mastering the Product-Sum skill. (MS EXCEL WORKBOOK ~ 49 KB)
	Randomised quadratic expressions and equations for practise/study. (MS EXCEL WORKBOOK ~ 169 KB)
	Booklet summarising how to derive and learn the Quadratic Formula. (PDF FILE ~ 4 PAGES ~ 732 KB)
	Poster showing three complex quadratic equations. (JPG IMAGE)
	Flier for the 1970 IBM Mathematics Competition for NSW with sample questions. (JPG IMAGE)
	Examination Paper for the 1970 IBM Mathematics Competition for NSW. (PDF FILE)
	Poster showing the graph of a parabola and cubic function (introducing polynomials). (JPG IMAGE)
	Page showing the first use of the word polynomial in English in Samuel Jeake's A Compleat Body of Arithmetick in Four Books (1696). (JPG IMAGE)
	Poster showing the equation to graph I LOVE YOU. (JPG IMAGE)
	Poster showing the equation to graph WILL YOU MARRY ME?. (JPG IMAGE)
	Graeme Henderson's Creating Complex Equations and Their Graphs. (PDF FILE ~ 8 PAGES)
	Poster showing two linear equations and their equivalent matrix expression. (JPG IMAGE)

Graphs

	Poster showing the six basic graph types required in junior high school. (JPG IMAGE)
	Poster showing the six basic derivatives. (JPG IMAGE)
	Graeme Henderson's Practice Worksheets for Mastery of Differentiation. (PDF FILE ~ 18 PAGES)
	Poster showing the integral for calculating the area under a curve. (JPG IMAGE)

Chance and Data

	Graeme Henderson's Reflections on Playing 52 Pickup. (PDF FILE ~ 9 PAGES)
	Cover of the August-September 1997 edition of MODE magazine (which I use when teaching statistics). (JPG IMAGE)

Iterations (Repetitions)

A completely random mockup of a DNA sequence (i.e. randomly generated list of A, T G and C). (JPG IMAGE)

Fun Stuff

	Poster: Your PLAN has been FOILED (for binomial products). (JPG IMAGE)
	Poster: Houseboat Integral. (JPG IMAGE)
	Poster: Iceberg Integral. (JPG IMAGE)
	Poster: A Dozen, A Gross and A Score (Limerick). (JPG IMAGE)
	Poster: Integral of z-Squared dz (Limerick). (JPG IMAGE)

How to Study

	Graeme Henderson's How to Study Mathematics (Actually How to Study Anything). (PDF FILE ~ 32 pages)
	Study Graph Template (for Keeping Track of Your Study Time). (MS EXCEL WORKBOOK ~ Same material as below but can be modified)
	Study Graph Template (for Keeping Track of Your Study Time). (PDF FILE ~ Same material as above but cannot be modified)
	Study Timetable Template. (MS WORD ~ Same material as below but can be modified)
	Study Timetable Template. (PDF FILE ~ Same material as above but cannot be modified)
	How Your Memory Works. (PDF ~ One Page)
	Seven Study Attitudes Worth Cultivating. (PDF ~ One Page)
	Seven Ways to Improve Your Study Environment. (PDF ~ One Page)
	Seven Steps to Build Into Your Daily Study Routine. (PDF ~ One Page)
	Four Ways to Study Mathematics. (PDF ~ One Page)

Other Documents by Graeme Henderson

Graeme Henderson's essay from his days as a student teacher, Teaching - Repressive and Unjust? (1977). (PDF FILE ~ 10 pages)