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

• TLF-IDM009037

This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.

• TLF-IDA005851

This interactive simulation explores isotopes and nuclear decay. In a series of simulations students explore how the changing the number of neutrons or protons affects the atomic number and isotope; investigate and predict how the shell model depiction of an isotope based on the isotope symbol or name; and predict the resulting ...

• TLF-IDA004065

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 10 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

• TLF-IDA005439

This lesson explores compound interest and challenges students to consider why saving now can help them later. The resource is part of a suite of lesson plans and activities from MoneySmart, designed to bring everyday financial topics into the classroom.

• TLF-IDA005379

This is the second lesson in the Capital Airways series and follows the prior lesson Capital Airways: Part 1. Students investigate a network through an airline route map. The task is a mathematical modelling activity whereby students collaborate to re-design the network map to improve the airline’s profitability.

• 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-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-IDM016566

Students make a presentation on the index laws, investigate the visual representation of the binomial expansions and design an acronym to help recall the special products.

• TLF-IDM012007

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

• TLF-IDA004303

This unit of work explores coordinate geometry in the context of Voronoi diagrams. Students use linear coordinate geometry to construct Voronoi diagrams by finding the gradient of a line segment, then finding the midpoint, a perpendicular line and finally the perpendicular bisector.