Support · Stage 5 · Indices B (Path)
Support Apply index notation, patterns and index laws to establish a^(- 1) = 1/a, a^(- 2) = 1/a², a^(- 3) = 1/a³ and a^(- n) = 1/aⁿ
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
Apply index notation, patterns and index laws to establish the meaning of negative indices for numerical bases
Stage 5 · Indices A Draft mapping
- Interactive toolStarterMaths Is Fun: Negative exponentsUse it for: Pattern-based explanation of negative indices.
- VideoStarterEddie Woo (WooTube): Basic Indices playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on indices; play a clip to model a method or for revision.
Establish that x^0 = 1 algebraically using index laws
Stage 5 · Indices A Draft mapping
No checked resources on this prerequisite dot point yet.
Apply the index laws for numerical bases with positive- integer indices to develop the index laws in algebraic form
Stage 5 · Indices A Draft mapping
- Interactive toolStarterMaths Is Fun: Laws of exponentsUse it for: Index laws summarised with reasons.
- Corbettmaths practice questions: Algebra: indicesUse it for: Free printable graded practice questions (with answers) on algebra: indices for drill or a quick check.
- WorksheetDrillTransum: Dr Tim's Indices ChallengeUse it for: Index laws practice by level.
- VideoStarterCorbettmaths video: Algebra: indicesUse it for: Short worked-example video on algebra: indices to model the method before practice or for flipped revision.