Drawing out the trigonometric graphs from the unit circle.

On MathsLinks: https://mathslinks.net/links/unit-circle-and-the-trigonometric-functions

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Details and examples of the use of the start by Aboriginal Australians to navigate across the continent.

On MathsLinks: https://mathslinks.net/links/australian-indigenous-astronomy

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How do you study what cannot be solved?

This is the first in a series about differential equations. The first video is beyond the scope of the new NSW Extension 1 course, but may be of interest.

On MathsLinks: https://mathslinks.net/links/overview-of-differential-equations

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Sometimes you need to measure the height of something very tall, but how can you do it easily. Rob shows a simple method.

On MathsLinks: https://mathslinks.net/links/how-tall-is-a-tree

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James Grime and Matt Parker look at the difference of two squares in many ways.

There are teacher notes and activity resources for this video on Think Maths.

On MathsLinks: https://mathslinks.net/links/the-difference-of-two-squares

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An outstanding (and challenging) video exploring a very different way (using geometry) to solve polynomial equations. It is challenging and rich in ideas - too much for most students in one go (25 mins) but cut up into components would make for a terrific guided investigation.

Lill's method animation mentioned in the video.

On MathsLinks: https://mathslinks.net/links/solving-equations-by-shooting-turtles-with-lasers

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Matt Parker discusses multiplicative persistence.

On MathsLinks: https://mathslinks.net/links/whats-special-about-277777788888899

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Fields Medallist Charlie Fefferman talks about some classic infinite series.

On MathsLinks: https://mathslinks.net/links/infinite-series

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GeoGebra versions of the three-dimensional (3D) Trigonometry examples from Cambridge Advanced (NSW textbook).

Section 5C: Example 6, 7 and 8.

Also available online:

On MathsFaculty: https://mathslinks.net/faculty/trigonometry-3d-examples-cambridge-advanced

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In the 1600s, the Dutch East India Company employed hundreds of ships to trade goods around the globe. In order to fund their voyages, the company turned to private citizens to invest money to support trips in exchange for a share of the profits. In doing so, they unknowingly invented the world’s first stock market. So how do companies and investors use the market today? Oliver Elfenbaum explains.

On MathsLinks: https://mathslinks.net/links/how-does-the-stock-market-work

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Take a large piece of paper and fold it ... well, how many times can you? Rob sets Deane a problem.

On MathsLinks: https://mathslinks.net/links/impossible-folding-paper-problem

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This app provides an interactive visualisation of equivalent fractions by arranging a grid into various groupings, and, when valid, presenting the corresponding fraction and it's reduced form.

On MathsLinks: https://mathslinks.net/links/equivalent-fraction-explorer

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Congruent Triangles by Bruce and Katharine Cornwell.

An old animation about congruent triangles, showing the methods of determining if two triangles are congruent.

On MathsLinks: https://mathslinks.net/links/congruent-triangles-1976

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An interactive to explore compass and true bearings.

On MathsLinks: https://mathslinks.net/links/bearings-anthony-or

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31.4+ trillion digits of Pi. Aimed at developers, this site has three fun ways to access digits of Pi: Art, Listen and Visualize.

On MathsLinks: https://mathslinks.net/links/31.4-trillion-digits-of-pi

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42 is the only remaining (eligible) number below 100 which has not been represented as the sum of three cubes… 33 was cracked by Andrew Booker from the University of Bristol.

(8866128975287528)³ + (−8778405442862239)³ + (−2736111468807040)³ = 33

On MathsLinks: https://mathslinks.net/links/42-is-the-new-33

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Matt Parker talks about numbers - whole numbers, rational numbers, constructible numbers, algebraic numbers, computable numbers, transcendental numbers.

On MathsLinks: https://mathslinks.net/links/all-the-numbers

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A GeoGebra interactive to investigate right-angled triangles the the effect of changing an angle or size.

On MathsLinks: https://mathslinks.net/links/observing-sine-in-triangles

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This is a DESMOS Advanced Maths Assessment Task based on Marblestars.

I selected one of each type of slide at random to make 18 individual Assessment Tasks. The notification is attached and the code you need to access the Desmos activity is `VQURC3` on student.desmos.com.

On MathsFaculty: https://mathslinks.net/faculty/year-11-advanced-math-desmos-investigative-task

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A useful introduction video that provides a good explanation of simple and compound interest in a humorous context.

On MathsLinks: https://mathslinks.net/links/introduction-to-simple-and-compound-interest

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