Functions and other graphs (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-FNC-P-01 uses function notation to describe and graph functions of one variable and graphs inequalities in one and 2 variables (Path: Adv)Content dot points
Each dot point has its own page with resources matched to it.
Define relations and functions, and use function notation
- Define a relation over 2 sets as an association between the elements of one set to the elements of another set 1 resource · 1 interactive/game
- Notate relations as a set of ordered pairs (x,y) of real numbers
- Define a function as a relation over 2 sets where each element of the first set is associated with exactly one element in the second set 4 resources · 2 interactive/game
- Apply the vertical line test on a graph to decide whether it represents a function
- Use the notation f(x) when expressing a function
- Use the notation f(c) to determine the value of f(x) when x = c 4 resources
Find the domain and range of a function and graph functions
- Define the domain as the set of all allowable values of x 1 resource · 1 interactive/game
- Define the range as the set of possible y-values as x varies over the domain of the function 1 resource · 1 interactive/game
- Determine and describe the domain and range for a variety of functions
- Use graphing applications to graph and compare functions of the form y = f(x),y = f(x) + c, y = f(x - b), y = kf(x) and y = f(ax), and describe their transformations 2 resources · 2 interactive/game
Graph regions corresponding to linear inequalities in one and 2 variables
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