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As Big As Can Be

The introductory videos introduce students to a complete unit of work, a study of quadratic functions. The unit starts with a geometric optimisation problem (paper folding) that prompts students to ask the question “is that as big as can be?” …

As Big As Can Be | Study of Quadratic Functions


Generosity – an approach to fractions and percentages.

This unit uses the context of generosity to introduce a need to have a fractional way of thinking about something.

It develops a way of thinking about fractions – the for-every idea – that is the elusive multiplicative model.

Developed over about 5 years, this approach has been tried and seems to work. 🙂


Cup Snakes – Describing Linear Change

A video introduction presents the mathematics of cup snakes, a hands on phenomena involving additive change that gives rise to a way to think about linear growth. Modeling this phenomena theoretically, with the help of two cups, and through data, with the help of many, many cups, these videos give rise to some of the big ideas around developing and using linear algebraic models to describe additive bi-variate change. These ideas are then unpacked in the accompanying ‘chapter replacement’ booklet.

Cup Snakes – Describing Linear Change






Prime Factorisation using the 2nd edition fx-82/100AU PLUS

This short video shows how to find the prime factorisation of an integer, using a Casio fx-82/100AU PLUS. This powerful mathematical representation is then used to determine how many divisors two integers have, as well as their greatest common divisor.


Calculating the GCD and LCM of integers using a Casio 2nd edition fx-82AU PLUS II or fx-100AU PLUS Scientific Calculator

This short video shows how to find the greatest common devisor (GCD) and lowest common multiple (LCM) of two integer, using a Casio 2nd edition fx-82AU PLUSII or fx-100AU PLUS Scientific Calculator.


Generating random numbers using the 2nd edition fx-82/100AU PLUS

This short video shows how to generate random numbers, using a Casio 2nd edition fx-82/100AU PLUS. The generation of uniformly distributed pseudo random integers is used to investigate a probabilistic scenario, the outcome of summing three four-sided dice repeatedly.