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NSW Curriculum

NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Record of changes

Overview Rationale Aim Outcomes Content Assessment Glossary Teaching and learning support

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 Loading form into Loading statements expressing the Loading 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

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

Related files

Life Skills