Replacement Units - fx 9860G AU
A replacement unit is a fully developed and tested sequence of learning that will take a number of weeks to cover. The aim of the unit is to act as a viable alternative to a traditional set of learning materials for the topics it covers.
Each unit integrates the use of electronic technology (graphics calculators and other software where needed) into the learning and applying of mathematics in an appropriate manner.
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Describing Change This is a complete unit to introduce the use of algebraic models (linear and simple exponential) to describe deterministic and stochastic change, as it is seen in the world around us. The unit approaches the fitting of models to bivariate data via the underlying properties of constant additive or multiplicative change and encourages students to critique the ‘fit’ of algebraic models prior to their refinement and use. 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 technology, to refine a user defined algebraic model as well as to obtain models of best fit. The accompanying CASIO Graphing Calculator Memory file contains all the data that is used in the unit, ready for the Storage Memory of your 9860, and for copying into List Files 5 and 6. |
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As big as can be? This is a complete unit to facilitate the study of quadratic functions. The unit starts with a geometric optimisation problem that prompts students to ask the question “is that as big as can be?” This question drives the generation and use of an algebraic model for the geometric system and emphasises the importance of the vertex form of a quadratic function. The unit then focuses on families of quadratic functions, using technology and algebraic techniques to appreciate their graphical and algebraic characteristics. The accompanying CASIO Graphing Calculator Memory file contains an animate-able geometric construction to help kick-start this unit. |
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This is a complete 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 fx 9860G AU 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. |
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This is a complete unit to facilitate the teaching and learning of algebraic identities at an introductory level (approximately Year 9). The unit exploits the world of animation to reinforce student's notion of variable. The unit comes with pre-made fx 9860G AU files that sequentially build up animated paddocks that confront student's notions of equivalence. They are then challenge to express this equivalence symbolically and from this the algebraic identities flow. The unit also includes 'drill' sections to assist students in the automation of these most important algebraic skills. |
Please click on one of the units on offer:Number Families>> - Algebra Interacting with Number Families >> - Algebra Number Theory >> - Number Analysing Interval Data >> - Statistics Systems to Algebra >> - Algebra Assessing Chance>> - Probability |
