Equations C (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-EQU-P-02 solves linear equations of more than 3 steps, monic and non-monic quadratic equations, and linear simultaneous equations (Path: Adv)Content dot points
Each dot point has its own page with resources matched to it.
Solve linear equations involving algebraic fractions and equations of more than 3 steps
- Solve linear equations involving more than 3 steps
- Solve equations that involve 2 or more fractions 2 resources
Rearrange literal equations
- Change the subject of a formula 5 resources
Solve quadratic equations using a variety of methods
- Solve equations of the form (ax)² + bx + c = 0 by factorisation and by completing the square 9 resources · 2 interactive/game
- Apply the quadratic formula x = (- b±√(b² - 4ac))/(2a) to solve quadratic equations 4 resources · 1 interactive/game
- Apply the most appropriate method to solve a variety of quadratic equations
- Use substitution to verify solutions to quadratic equations
- Identify whether a given quadratic equation has real solutions, and if there are real solutions, whether or not they are equal 4 resources · 1 interactive/game
- Solve quadratic equations resulting from substitution into formulas in various contexts
- Model and solve word problems using quadratic equations in various contexts 2 resources
- Solve equations that are reducible to quadratics
Solve linear simultaneous equations, both algebraically and graphically
- Solve linear simultaneous equations by finding the point of intersection of their graphs 3 resources · 1 interactive/game
- Solve linear simultaneous equations using algebraic techniques including substitution and elimination methods 6 resources · 1 interactive/game
- Model and solve word problems using simultaneous equations and interpret their solutions 4 resources
- Describe an identity as an equation that is true for all values of the pronumeral and relate the identity to coincident lines 2 resources
- Describe a contradiction as an equation that has no solutions and relate the contradiction to parallel lines
Focus area resources
- Unit/PlanningStage 5 Unit 10 – expressions and equations (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
- Unit/PlanningStage 5 Unit 3 – prisms and cylinders (sample unit of learning)
- Unit/PlanningStage 5 Unit 6 – constant rates of change (sample unit of learning)
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