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DOGBALL 2.0 – A Study of Bounce – Part 1

Dogball is an enigma. The bouncy toy exterior hides a rich yet accessible modelling task within; a delicious intersection of maths and science, a potential PSMT/Folio task for Stage 1 Mathematical Methods featuring low floor, high ceiling and room for …


DOGBALL 2.0 – A Study of Bounce – Part 2 (Solution)

Below is a video outlining a solution answering the questions posed in the resource “Dogball 2.0 – A Study of Bounce – Part 1“. It is not intended to be the best or only way to answer these questions. It …


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 β€œis that as big as can be?” …


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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Working with nested radicals – Explore and Think – with the fx-CG20 AU

In this Explore and Think activity students work with surds in different and fruitful ways. The idea of nested radicals leads students from the evaluation of some funny-looking surd expressions through to the making of conjectures. These conjectures can be proved via the solution of a quadratic equation.
EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-CG20 AU.

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DOGBALL

Below you can access: DOGBALL.pdf – a currently-brief but mostly complete summary of the activity you experienced. vdbcgraw.csv – the csv file of the data we used in the activity – which is a subset of the data that was …


Working with Ellipses – Explore and Think – with the fx-CG20 AU

This Explore and Think activity focusses on an ellipse-based diagram that claims to represent the percentage of green space in some of the world’s cities.
A study of this diagram suggests that something is not right – and then leads to an analysis involving length and area, measurement and ratio.
EAT activities include student worksheets accompanied by solutions/teacher notes that feature step-by-step support for the use of the CASIO fx-CG20 AU

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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. πŸ™‚