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Optimisation (9860)

When studying quadratic functions/calculus, do too many of your students find ‘optimisation questions’ hard? Have you ever wondered why? The booklet you can download here is the unit of work that supports the ideas presented in a number of workshops during 2011 and 2012 that outlined why students find the ideas hard. Basically, traditional teaching-and-doing approaches fail to focus on what is really happening: the measurement on one dimension and the subsequent calculation of other dimensions. Also, algebraic simplification turns out to be the devil – the patterns in the symbols are lost and so generalisation is not ‘seen’! The approach in the booklet supports the idea of each student developing a calculation and then comparing and contrasting to it other’s calculations – it is in this that the symbolic patterns appear and the generalisation literally reveals itself.

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CG131 Calculating the value of a derivative

This short video shows how to determine a derivative value, i.e. the value of a derivative function for a given x value, using the Run.Mat app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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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.


Converting between units of measurement on a Casio fx-100AU PLUS 2nd edition scientific calculator

This short video shows how to use a Casio fx-100AU PLUS 2nd edition to perform conversions between frequently used units of measurement.


Calculating with complex numbers using the fx-100AU PLUS 2nd edition scientific calculator

This short video shows how to perform a range of calculations with complex numbers. These include calculating the argument and complement of a complex number and converting between polar and rectangular forms. These calculations will be done using the Complex …