Support · Mathematics Extension 1 11–12 – Year 11 · Polynomials
Support Explain how the leading coefficient and the degree determine whether y→∞ or y→ - ∞ as x→∞ and as x→ - ∞
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
Describe polynomials using terms such as degree, leading term, coefficient and leading coefficient, constant term, monic and non-monic
Stage 5 · Polynomials (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: PolynomialsUse it for: Vocabulary of polynomials: degree, terms, coefficients.
- WorksheetDrillKuta free worksheet: Polynomial basicsUse it for: Printable skills-practice sheet with answer key on polynomial basics; good for drill or homework.
- VideoStarterEddie Woo (WooTube): Basic Polynomials playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on polynomials; play a clip to model a method or for revision.
Define a monic polynomial as having a leading coefficient of one
Stage 5 · Polynomials (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Graph polynomials using the sign of the leading term and the multiplicity of roots for the equation P(x) = 0
Stage 5 · Polynomials (Path) Draft mapping
- WorksheetDrillKuta free worksheet: Polynomial graphs: basic shapeUse it for: Printable skills-practice sheet with answer key on polynomial graphs: basic shape; good for drill or homework.