Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Use linear inequalities to model and solve problems in real-world situations, 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
Graph linear inequalities of the form ax + by > c, testing whether the points satisfy the given inequality and shading appropriate regions
Stage 5 · Functions and other graphs (Path) Draft mapping
- Corbettmaths practice questions: Inequalities: graphical y>x+aUse it for: Free printable graded practice questions (with answers) on inequalities: graphical y>x+a for drill or a quick check.
- WorksheetDrillKuta free worksheet: Graphing linear inequalitiesUse it for: Printable skills-practice sheet with answer key on graphing linear inequalities; good for drill or homework.
- VideoStarterCorbettmaths video: Inequalities: graphical y>x+aUse it for: Short worked-example video on inequalities: graphical y>x+a to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Inequalities: regionsUse it for: Short worked-example video on inequalities: regions to model the method before practice or for flipped revision.
Solve linear inequalities, including those with negative numbers, and graph the solutions
Stage 5 · Equations B (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Solving inequalitiesUse it for: Explains flipping the sign when multiplying by a negative.
- Corbettmaths practice questions: Inequalities on a number lineUse it for: Free printable graded practice questions (with answers) on inequalities on a number line for drill or a quick check.
- WorksheetDrillKuta free worksheet: Multi-step inequalitiesUse it for: Printable skills-practice sheet with answer key on multi-step inequalities; good for drill or homework.
- WorksheetDrillKuta free worksheet: Two-step inequalitiesUse it for: Printable skills-practice sheet with answer key on two-step inequalities; good for drill or homework.
- VideoStarterCorbettmaths video: Inequalities: solving (one sign)Use it for: Short worked-example video on inequalities: solving (one sign) to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Inequalities: solving (two signs)Use it for: Short worked-example video on inequalities: solving (two signs) to model the method before practice or for flipped revision.
Determine and justify whether 2 given lines are parallel or perpendicular
Stage 5 · Linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Parallel and perpendicular linesUse it for: Gradients of parallel and perpendicular lines.