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NSW Curriculum

NSW Education Standards Authority

K–10Mathematics K–10 Syllabus (2022)

Record of changes

Overview Rationale Aim Outcomes Content Assessment Glossary Teaching and learning support

Content

Early Stage 1

Stage 1

Stage 2

Stage 3

Stage 4

Stage 5

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Teaching advice

Examples

Indices B (Path)

MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA5-IND-P-01
applies the index laws to operate with algebraic expressions involving negative-integer indices (Path: Adv)

Indices B (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Apply index laws to algebraic expressions involving negative-integer indices

Apply index notation, patterns and index laws to establish $a^{- 1} = \frac{1}{a}$ , $a^{- 2} = \frac{1}{a^{2}}$ , $a^{- 3} = \frac{1}{a^{3}}$ and $a^{- n} = \frac{1}{a^{n}}$
Represent Loading involving negative-Loading Loading as expressions involving positive-integer indices and vice versa
Apply the Loading laws to simplify algebraic products and Loading involving negative-integer indices
Describe and use $x^{- 1}$ as the reciprocal of $x$ and generalise this relationship to expressions of the form ${(\frac{a}{b})}^{- 1}$
Use knowledge of the reciprocal to simplify expressions of the form ${(\frac{a}{b})}^{- n}$

Related files

Life Skills