K–10Mathematics K–10 Syllabus

Implementation for K–2 from 2023 and 3–10 from 2024

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Content

Early Stage 1

Stage 1

Stage 2

Stage 3

Stage 4

Stage 5

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Teaching advice

Examples

Logarithms (Path)

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)

Logarithms (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Examine logarithms both numerically and graphically

Define the term logarithm: the logarithm of a number to any positive base $a$ is the index to which $a$ is raised to give this number
Recognise equivalence where $y = a^{x}$ is equivalent to $x = \log_{a} y$ where $a > 0$ and $a \neq 1$
Translate statements expressing a number in index form into equivalent statements expressing the logarithm of the number
Use graphing applications to compare and contrast graphs for the functions $y = a^{x}$ and $y = \log_{a} x$
Generalise that $y = \log_{a} x$ is an increasing function when $a > 1$ and decreasing when $0 < a < 1$

Establish and apply the laws of logarithms to solve problems

Related files

Life Skills