Booklets for the Mathematics Advanced (NSW) course produced by Caringbah High School.

On MathsFaculty: https://mathslinks.net/faculty/advanced-booklets

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Created for an accelerated Year 8 class - suitable for later grades.

They haven't learned binomial expansions, but this takes them all the way from common-factor work to quadratic trinomials. They spent three lessons completing it, mostly in assigned groups, and no whole-class teaching was required, just assisting and prompting. I'm confident that they are now confident at factorising and will remain so. 10/10 would do again. With modifications, or perhaps without, it might be good for an average Year 9 class when the time comes to factorise quadratics.

On MathsFaculty: https://mathslinks.net/faculty/factorisation

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Before the method of completing the square was developed, only very limited types of quadratic equations could be solved. This method eliminated those limitations, allowing the solutions of any quadratic equation to be found.

This lecture shows how the 'quadratic formula' can be derived from the process of completing the square, and show why the quadratic formula is so useful.

On MathsLinks: https://mathslinks.net/links/the-quadratic-formula

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Students reproduce images using algebraic functions and relations, then produce an image of their own choosing.

On MathsFaculty: https://mathslinks.net/faculty/year-10-ext-desmos-graphing-assignment

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This visual guide for students demonstrates why you cannot just add along the numerator and denominator when adding fractions. It opens up the question of how then can you add fractions, hopefully leading to the discussion of equivalent fractions. The resource is editable so further examples can be added, if required (PDF version provided for reference).

On MathsFaculty: https://mathslinks.net/faculty/adding-fractions-with-a-different-denominator

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This parent support kit is designed to help parents understand what children learn in each grade.

The parent support kit uses parent-friendly language to explain the skills that children work to achieve by the end of each grade.

On MathsLinks: https://mathslinks.net/links/help-your-child-with-maths

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You’ve stealthily descended into the darkness of a vampire cave, setting a sequence of mirrors as you go. When the sun reaches the right angle in the sky, a beam of light will ricochet along the mirrors, strike a diffuser, and illuminate the great chamber where the vampires sleep. Can you place the diffuser correctly and flood the lair with sunlight?

On MathsLinks: https://mathslinks.net/links/can-you-solve-the-vampire-hunter-riddle

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The Mathologer gives visual explanations for a number of circle stacking phenomena.

From a theorem discovered by Charles Payan in 1989.

On MathsLinks: https://mathslinks.net/links/the-secret-of-the-7th-row-visually-explained

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After years of experiments, you’ve finally created the pets of the future – nano-rabbits! They’re tiny, they’re fuzzy ... and they multiply faster than the eye can see. But a rival lab has sabotaged you, threatening the survival of your new friends. Can you figure out how to avert this hare-raising catastrophe?

On MathsLinks: https://mathslinks.net/links/can-you-solve-the-multiplying-rabbits-riddle

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Course work booklets for the new Extension 1 (2019) course in NSW.

Latest version will always be available here.

The *showcloze* version is the teacher version.

Note: For some topics, the Extension 1 content has been included in the Advanced booklets. See: Mathematics Advanced and Extension 1 (2019) booklets

On MathsFaculty: https://mathslinks.net/faculty/mathematics-extension-1-2019-booklets

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This resource dynamically illustrates how we graph trigonometric functions written in the form *y* = *a* sin (*b* (*x* − *c*)) + *d*.

On MathsLinks: https://mathslinks.net/links/transforming-the-sine-function

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An animated GIF showing the 1000, 100, 10, 1 base ten blocks. [via Twitter]

On MathsLinks: https://mathslinks.net/links/1000-100-10-1

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Some card tricks and a proof of the divisibility rules for three and nine. Then, a discussion of the other divisibility tests.

On MathsLinks: https://mathslinks.net/links/divisibility-tricks

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Gordon Hamilton introduces and investigates the Graceful Tree Conjecture [see Wikipedia].

On MathsLinks: https://mathslinks.net/links/the-graceful-tree-problem

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Course work booklets for the new Advanced and Extension 1 (2019) courses in NSW.

Latest version will always be available here.

The *showcloze* version is the teacher version.

Note: These booklets may include Extension 1 content. For the separate Extension 1 booklets see: Mathematics Extension 1 (2019) booklets.

Updates:

14 February 2019: maf-f1_functions - major typo in Example 44

11 February 2019: ma-f1_functions - Section 5.2.1's answers were missing. It's now been reinserted.

1 February 2019: ma-f1_functions - corrections

29 January 2019: ma-f1_functions - some answers were corrected, and the showcloze had some words corrected

On MathsFaculty: https://mathslinks.net/faculty/mathematics-advanced-and-extension-1-2019-booklets

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A bit of fun with the number 2019.

On MathsLinks: https://mathslinks.net/links/2019-facts-in-2-mins-19-seconds

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Solutions to three exam questions using the pigeonhole principle

On MathsLinks: https://mathslinks.net/links/pigeonhole-principle-made-easy

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A visual introduction to probability and statistics.

On MathsLinks: https://mathslinks.net/links/seeing-theory

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Everybody knows that root 2 is irrational but how do you figure out whether or not a scary expression involving several nested roots is irrational or not?

On MathsLinks: https://mathslinks.net/links/irrational-roots

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This video illustrates six different proofs for the Pythagorean Theorem as six little beautiful visual puzzles.

On MathsLinks: https://mathslinks.net/links/pythagorean-theorem-six-proofs

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