Support · Stage 5 · Indices C (Path)
Support Describe the term surd as referring to irrational expressions of the form n√(x) where x is a rational number and n is an integer such that n ≥ 2, and x > 0 when n is even
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.
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Prerequisite dot points
Represent expressions involving negative- integer indices as expressions involving positive-integer indices and vice versa
Stage 5 · Indices B (Path) Draft mapping
- Corbettmaths practice questions: Indices: negativeUse it for: Free printable graded practice questions (with answers) on indices: negative for drill or a quick check.
- VideoStarterCorbettmaths video: Indices: negativeUse it for: Short worked-example video on indices: negative to model the method before practice or for flipped revision.
Describe and use x^(- 1) as the reciprocal of x and generalise this relationship to expressions of the form (a/b)^(- 1)
Stage 5 · Indices B (Path) Draft mapping
No checked resources on this prerequisite dot point yet.
Apply the index laws to simplify algebraic products and quotients involving negative-integer indices
Stage 5 · Indices B (Path) Draft mapping
- WorksheetDrillKuta free worksheet: More properties of exponents (negative indices)Use it for: Printable skills-practice sheet with answer key on more properties of exponents (negative indices); good for drill or homework.