Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Construct and use simultaneous equations to model and solve a problem where cost and revenue are represented by linear equations, identify and analyse the break-even point, and justify conclusions in the context of the problem
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Solve linear simultaneous equations by finding the point of intersection of their graphs
Stage 5 · Equations C (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- WorksheetDrillKuta free worksheet: Systems of equations by graphingUse it for: Printable skills-practice sheet with answer key on systems of equations by graphing; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (graphical)Use it for: Short worked-example video on simultaneous equations (graphical) to model the method before practice or for flipped revision.
Model and solve word problems using simultaneous equations and interpret their solutions
Stage 5 · Equations C (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Simultaneous equations word problemsUse it for: Printable skills-practice sheet with answer key on simultaneous equations word problems; good for drill or homework.
- WorksheetEnrichmentNRICH: Cinema ProblemUse it for: Rich task leading to simultaneous equations reasoning.
Solve linear simultaneous equations using algebraic techniques including substitution and elimination methods
Stage 5 · Equations C (Path) Draft mapping
- Corbettmaths practice questions: Simultaneous equations (elimination)Use it for: Free printable graded practice questions (with answers) on simultaneous equations (elimination) for drill or a quick check.
- WorksheetDrillKuta free worksheet: Simultaneous equations by eliminationUse it for: Printable skills-practice sheet with answer key on simultaneous equations by elimination; good for drill or homework.
- WorksheetDrillKuta free worksheet: Simultaneous equations by substitutionUse it for: Printable skills-practice sheet with answer key on simultaneous equations by substitution; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (elimination)Use it for: Short worked-example video on simultaneous equations (elimination) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Simultaneous equations (substitution, both linear)Use it for: Short worked-example video on simultaneous equations (substitution, both linear) to model the method before practice or for flipped revision.