Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships
Support Interpret the meaning of the intercept of an exponential graph in a variety of contexts
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
Find x- and y-intercepts algebraically, where appropriate, for the graph of y = (ax)² + bx + c, given a,b and c
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Graphing quadratic equationsUse it for: How to sketch parabolas from intercepts and vertex.
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.
Simplify algebraic fractions, including those involving indices
Stage 5 · Algebraic techniques B (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.
- 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.