K–10Mathematics K–10 Syllabus
The new Mathematics K–10 Syllabus (2022) is to be implemented from 2024 and replaces the Mathematics K–10 Syllabus (2012).
School sectors are responsible for implementing syllabuses and are best placed to provide schools with specific guidance and information on implementation given their understanding of their individual contexts.
Content
Stage 5
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MA5-LOG-P-01
establishes and applies the laws of logarithms to solve problems (Path: Adv)
Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.
Define the term logarithm: the logarithm of a number to any positive base is the index to which is raised to give this number
Recognise equivalence where is equivalent to where and
Translate statements expressing a number in Loading form into Loading statements expressing the Loading of the number
Use graphing applications to compare and contrast graphs for the functions and
Generalise that is an increasing function when and decreasing when
Deduce laws of logarithms from laws of Loading
Establish and use a variety of logarithmic results
Apply the laws of logarithms to evaluate and simplify Loading
Solve simple Loading that involve exponents or logarithms
Examine Loading and explain their use in various contexts