Support · Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors
Support Perform addition and subtraction of vectors algebraically in component form, and verify, with and without graphing applications, that geometrically these are obtained using the triangle law or the parallelogram law
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
Expand binomial products algebraically using the distributive law or consider areas of rectangles as a possible method of expansion
Stage 5 · Algebraic techniques A Draft mapping
- Interactive toolStarterMaths Is Fun: ExpandingUse it for: Expanding brackets explained with area diagrams.
- Interactive toolStarterPolypad virtual manipulatives (algebra tiles, fraction bars, number lines)Use it for: Free virtual manipulatives; use algebra tiles to model expanding/factorising or fraction bars for equivalence.
- PhET Area Model AlgebraUse it for: Show expanding brackets and binomial products as rectangle areas.
- Corbettmaths practice questions: Algebra: expanding two bracketsUse it for: Free printable graded practice questions (with answers) on algebra: expanding two brackets for drill or a quick check.
- WorksheetDrillKuta free worksheet: Multiplying binomialsUse it for: Printable skills-practice sheet with answer key on multiplying binomials; good for drill or homework.
- Variation Theory sequences: Expand double bracketsUse it for: Intelligent-practice sequences on expand double brackets where one thing changes at a time; ask students to predict before answering.
- VideoStarterCorbettmaths video: Algebra: expanding two bracketsUse it for: Short worked-example video on algebra: expanding two brackets to model the method before practice or for flipped revision.
Infer that nx^(n - 1) is the gradient of f(x) = xⁿ and verify the result using graphing applications
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation 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.
Examine the gradient of a curve at a point on the curve using graphing applications
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation 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.