Linear relationships
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-LIN-C-01 creates and displays number patterns and finds graphical solutions to problems involving linear relationshipsContent dot points
Each dot point has its own page with resources matched to it.
Plot and identify points on the Cartesian plane
- Plot and label points on the Cartesian plane of given coordinates, including those with coordinates that are not whole numbers 4 resources · 2 interactive/game
- Identify and record the coordinates of given points on the Cartesian plane, including those with coordinates that are not whole numbers 4 resources · 1 interactive/game
Plot linear relationships on the Cartesian plane
- Construct a geometric pattern and record the results in a table of values 7 resources · 3 interactive/game
- Represent a given number pattern (including decreasing patterns) using a table of values 2 resources · 2 interactive/game
- Describe a number pattern in words and generate an equation using algebraic symbols 14 resources · 7 interactive/game
- Apply an equation generated from a pattern to calculate the corresponding value for a smaller or larger number 1 resource
- Recognise that a linear relationship can be represented by a number pattern, an equation (or a rule using algebraic symbols), a table of values, a set of pairs of coordinates and a line graphed on a Cartesian plane, and move flexibly between these representations 2 resources
- Explain that there are an infinite number of ordered pairs that satisfy a given linear relationship by extending a line joining a set of points on the Cartesian plane
- Compare similarities and differences of multiple straight-line graphs on the same set of axes using graphing applications 2 resources · 2 interactive/game
- Describe linear relationships in real-life contexts and solve related problems 2 resources
Solve linear equations using graphical techniques
- Recognise that each point on the graph of a linear relationship satisfies the equation of a line
- Apply graphs of linear relationships to solve a corresponding linear equation using graphing applications 2 resources · 2 interactive/game
- Graph 2 intersecting lines on the same set of axes and identify the point of intersection using either graphing applications or a table of values 4 resources · 2 interactive/game
- Verify that the point of intersection satisfies the equations of both lines
Focus area resources
- Unit/PlanningStage 4 Unit 14 – analysing patterns (sample unit of learning)
- Unit/PlanningStage 4 Unit 3 – representing numbers (sample unit of learning)
Stage 4 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 4 core (NESA no. 11)
- Unit/PlanningStage 4 – sample scope and sequence
- Unit/PlanningStage 4 – stage based – sample scope and sequence