Describing change (ClassPad)
This replacement unit introduces algebraic models (linear and simple exponential) to describe change in the world around us. The fitting of models to bivariate data is approached via the underlying properties of constant additive or multiplicative change. The unit contains a wealth of data drawn from a range of aspects of the modern world. Extensive notes are provided on the use of ClassPad technology. A .vcp file contains all unit’s data in a Spreadsheet, and also as Statistics variables.
The wind in your sails (ClassPad)
This is a replacement unit to facilitate the teaching and learning of right-angle triangle trigonometry. The students begin by ‘learning’ how to sail a boat and then engage with various aspects of sailing and as a result learn about the fundamental trigonometric ratios. The unit comes with pre-made ClassPad Geometry files that enable the students to sail virtual boats, collect data on their sailing and through this learn about trigonometric ratios. The unit includes traditional learning and problems as well as some not so traditional learning.
Category:
Replacement Units
Technology:
CLASSPAD 300/330
A prime experience (ClassPad)
Many students know what a prime number is, but outside of that and perhaps prime factorisation what else do they do (in school) with these amazing creatures? This unit charts a path for students through the prime’s landscape along which they discover sexy primes (among others), prove and generally get to behave very much like a mini-mathematician. Workshops on this unit have been offered in a number of states previously. We do not think you will have seen a tried and proven learning sequence like this before.
Category:
Replacement Units
Technology:
CLASSPAD 300/330
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. 🙂
Category:
General Resources
Technology:
CLASSPAD 300/330, CLASSPAD FXCP400, FX100AU, FX82AU, FX9860GAU, FXCG20/50AU
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.
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.
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.
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.
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.
Category:
Videos for Learning
Technology:
CLASSPAD 300/330, CLASSPAD FXCP400, FX100AU, FX82AU, FX9860GAU, FXCG20/50AU
Pigs, Pens and Mathematics
Pigs, pens and mathematics is a two to four lesson, tried and proven, activity that moves students from measurement-thinking to functional-thinking with the help a simple but rarely used idea – do not evaluate a calculation.
A small, but authentic and enlightening use of electronic technology is made.
It would fit perfectly in a measurement topic at any of the years 8 to 11.
In this collection of resources you will find:
a) a two-part introductory video, that can be played to the class to kick things off,
b) one support video that shows “how to” do the technical stuff on the CG 20 AU,
c) one support video that explores the mathematical ideas that can be developed with the help of the technology,
d) one ‘task sheet’ for students to work on after watching the videos or being instructed by the teacher,
e) a complete ‘unit of work’ that allows students to consolidate the mathematical ideas and skills they have learned.
