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CG601 Drawing a ‘dynamic’ graph

This short video shows how to draw an animated ‘dynamic’ graph showing the effect of changing a parameter upon the graph of a function, using the Dyna Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented. In particular, the effect of changing the gradient value “m” in a linear function of the form y=mx+c is addressed.

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CG514 Finding x and y values using a graph

This short video shows how to determine a function’s x and y values from its graph, using the Graph app of a CASIO fx-CG series graphics calculator. CG20 AU and CG50 AU versions presented.

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CG515 Changing a graph’s View Window

This short video shows how to change a graph’s View Window, using the Graph app of a CASIO fx-CG series graphics calculator, and discusses some of the advantages and disadvantages of different View Window settings. CG20 AU and CG50 AU versions are presented.

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CG115 Performing trigonometric calculations

This short video shows how to perform trigonometric calculations using the Run-Matrix app of a CASIO fx-CG series graphics calculator in order to solve simple trigonometric equations. CG20 AU and CG50 AU versions are presented.

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Optimisation (ClassPad)

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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Exponential and trigonometric functions

A selection of documents that share some nice ideas about exponential functions, trigonometric functions and a lovely context where both concepts come together.

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A quick list of sample means.

Download a program that will creates the number of samples you desire, of a size you define from a normal population with standard deviation and mean you define.

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Developing ways-of-thinking about the ideas that form calculus

This video and documents outline a 4 session course that aim to assist students to develop the optimal ways-of-thinking about the ideas that underpin calculus.

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The Confidence Interval for a Proportion

Understanding the confidence interval for a population proportion (p) This video is a Zoom-recording of a virtual lecture/talk, in which the presenter shares a tried and proven way to present the ideas that underpin the confidence interval for a population …

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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