Matt Parker reveals his pride and joy - the mysterious Parker Square! A not quite magic, magic square.
Gordon Hamilton introduces and investigates the Graceful Tree Conjecture [see Wikipedia].
The Josephus Problem, featuring Daniel Erman from the University of Wisconsin-Madison. Not a cheery topic, but an interesting problem: In computer science and mathematics, the Josephus problem (or Josephuspermutation) is a theoretical problem related to a certain counting-out game. People are standing in a circle waiting to be executed. Counting begins at a specified point in the circle and proceeds around the circle in a specified direction. Wikipedia
A demonstration of using a SlowPlot file for classroom discussion/practice.Interactive file (GeoGebra).Explanatory document.
A video demonstrating using Moving Circle Theorems files for classroom discussion/practice.8 circle theorem interactives, and proof discussions in GeoGebra.Explanatory document.
A useful file for visualising trigonometric functions on the unit circle, alongside their graphs. Includes sin, cos, tan, sec, cosec, and cot.Interactive files (GeoGebra):Trig TracerGraphs beyond 360°Multiple solutionsExplanatory document.
Everything a 2 Unit Student Needs For The HSC Examination (An Unofficial List of Things to Memorise) A list of all the facts, formulae, theorems, properties and basic graphs that a 2 Unit student needs to memorise for the HSC Exam. This could be used as a checklist for students, they can fold it down the middle and test themselves. Has anything been missed? Leave a comment. 11 pages in total. 16 May 2015 Updated: the letter 'a' was omitted in two places on page 5 in the results of the derivative of sin(ax) and cos(ax). 18 May 2015 Correction: fixed the Cosine Rule for angles 7 Novermber 2015: Added a version with HSC Reference Sheet items highlighted.
A look at the discrete counterpart of calculus, the calculus of sequences or the calculus of differences. Featuring the Newton-Gregory interpolation formula, a powerful what comes next oracle, and some very off-the-beaten track spottings of some all-time favourites such as the Fibonacci sequence, Pascal's triangle and Maclaurin series.
Using points around the unit circle to plot sine and cosine against each other.
This website provides a selection of timed Maths starters. The starters are designed to provide practice at a range of numeracy skills. Each starter can be differentiated by the input values. The website can generate the values, mark and display answers.
A short history on the use of average (arithmetic mean) and median.
An xkcd comic on the Monty Hall (probability) problem.
Various toys and hands-on activities for mathematical concepts.
Simon Pampena gives his take on THAT viral math problem from Singapore.
People say that a vector is "a quantity with both magnitude and direction." What does that mean? This approach to vectors is too confusing. In this brief introduction allow me to demonstrate a more natural - and meaningful - approach to vectors. They're easy - and don't need to be made confusing.
This interactive explanation shows you why polling results should be taken with a grain of salt. In a lot of cases decimals will prove to be meaningless and changes of less than 2 percentage points shouldn't be subject to much analysis. The interactive is completely visual and very intuitive.
A breakthrough by a Numberphile viewer (with help from some computers). Follows on from The Uncracked Problem with 33 about summing three cubes.
Large, hard-to-guess numbers are vital for encrypting data. But the sources of data that some computers call on to generate these numbers often run dry. Interesting article on the use of random numbers.
This website and accompanying app is an accessible way to demonstrate how mathematics is used to improve sporting achievements. It looks to mathematical model an individual's hang time (hang time = length of time from when feet leave the ground to touching back down again). Suitable for advanced year 10 to Extension kids. Would make a great basis for an investigative task. While this app isn't free and costs $2.99 from Apple Store, it could be well worth the investment to increase student engagement.
An introduction to probability density functions. See also part 1.
