Mathematics / Year 10 / Number and Algebra / Linear and non-linear relationships

• TLF-IDM021856

This sequence of two lessons explores exponential functions as seen in the real world, linking the representations of function rules, graphs and tables of values. Students consider real world objects and data that can be described using exponential functions. They use simulations and modelling to investigate transformations, ...

• TLF-IDA005853

This interactive simulation explores isotopes and how the average atomic mass of an element changes given a change in the abundance of its isotopes. In a series of simulations students explore the stability of various isotopes and investigate how this relates to the proportions of isotopes in naturally occurring elements. ...

• TLF-IDA005441

This lesson explores what investing is, different types of investments and their risks, how to invest safely and where to begin. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

• TLF-IDA004305

The activity has students collecting their own information from a well-known Australia car buying website and using this to find an estimated relationship between the ‘asking price’ for a used car and the distance it has traveled in kilometres.

• TLF-IDA004267

This activity explores the properties of the family of functions and their graphs known as parabolas. The unit includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas to take their understanding further. A short quiz at the end ...

• TLF-IDA005380

In this lesson students are introduced to the concept of a network through an airline route map. The task extends into a detailed mathematical modelling activity with students exploring in teams how to re-design the network map to improve the airline’s profitability. This lesson is in two parts and is followed by Capital ...

• TLF-IDA004333

This alternate assessment task focuses on calculating gross and net wages before and after tax; operating and solving problems using simple and compound interest; and making valid comparisons between total accumulated costs and the initial (principal) amounts of money borrowed or invested.

• TLF-IDM021844

This sequence of three lessons explores sums and differences of two squares. Students are introduced to the historical context of using lookup tables for multiplications and challenged to investigate and generalise the underlying process using algebraic means. In subsequent lessons students use visual and algebraic methods ...

• TLF-IDM021846

This lesson challenges students to use Pythagoras' Theorem to solve a problem from an ancient Chinese text. They make physical models of the problem and use this to construct a graph. They use algebra skills associated with binomial expansions and simplification of fractions to show that the general solution given in the ...

• TLF-IDM016249

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0.