Logarithms (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-LOG-P-01 establishes and applies the laws of logarithms to solve problems (Path: Adv)Content dot points
Each dot point has its own page with resources matched to it.
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 1 resource · 1 interactive/game
- Recognise equivalence where y = a^x is equivalent to x = log_ay where a > 0and a≠1
- Translate statements expressing a number in index form into equivalent statements expressing the logarithm of the number 2 resources · 1 interactive/game
- Use graphing applications to compare and contrast graphs for the functions y = a^x and y = log_ax 2 resources · 2 interactive/game
- Generalise that y = log_ax is an increasing function when a > 1 and decreasing when 0
Establish and apply the laws of logarithms to solve problems
- Deduce laws of logarithms from laws of indices 1 resource · 1 interactive/game
- Establish and use a variety of logarithmic results
- Apply the laws of logarithms to evaluate and simplify expressions 2 resources · 1 interactive/game
- Solve simple equations that involve exponents or logarithms 2 resources
- Examine logarithmic scales and explain their use in various contexts
Focus area resources
Stage 5 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 03)
- Unit/PlanningSample scope and sequence: Stages 4–5 core and selected paths (NESA no. 04)
- Unit/PlanningSample scope and sequence: Stage 5 core and all paths (NESA no. 05)
- Unit/PlanningSample scope and sequence: Stage 5 core (NESA no. 02)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 06)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 01)
- Unit/PlanningSample scope and sequence: Stages 4–5 stage based (NESA no. 08)
- Unit/PlanningStage 5 – sample scope and sequence
- Unit/PlanningStage 5 – stage based – sample scope and sequence