Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships
Support Identify the hyperbolic shape of a reciprocal graph
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
Simplify algebraic expressions involving algebraic fractions using factorisation
Stage 5 · Algebraic techniques C (Path) Draft mapping
- Corbettmaths practice questions: Algebraic fractions: additionUse it for: Free printable graded practice questions (with answers) on algebraic fractions: addition for drill or a quick check.
- WorksheetDrillKuta free worksheet: Simplifying algebraic fractionsUse it for: Printable skills-practice sheet with answer key on simplifying algebraic fractions; good for drill or homework.
- VideoStarterCorbettmaths video: Algebraic fractions: simplifyingUse it for: Short worked-example video on algebraic fractions: simplifying to model the method before practice or for flipped revision.
Find points where a line intersects with a parabola, hyperbola or circle, both graphically and algebraically
Stage 5 · Non-linear relationships C (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Line-parabola/circle intersectionsUse it for: Printable skills-practice sheet with answer key on line-parabola/circle intersections; good for drill or homework.
- VideoStarterCorbettmaths video: Simultaneous equations (advanced)Use it for: Short worked-example video on simultaneous equations (advanced) to model the method before practice or for flipped revision.
Use graphing applications to graph, compare and describe hyperbolic relationships of the form y = k/x for integer values of k
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- Corbettmaths practice questions: Types of graph: reciprocalUse it for: Free printable graded practice questions (with answers) on types of graph: reciprocal for drill or a quick check.
- VideoStarterCorbettmaths video: Types of graph: reciprocalUse it for: Short worked-example video on types of graph: reciprocal to model the method before practice or for flipped revision.