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K–10Mathematics K–10 Syllabus (2022)

Content

Stage 5

Indices A
Extend and apply the index laws to variables, using positive-integer indices and the zero index
  • Apply the Loading  laws for numerical Loading  with positive-Loading  Loading  to develop the index laws in algebraic form

  • Establish that x0=1 algebraically using index laws

  • Simplify Loading  that involve the zero index

Simplify algebraic products and quotients using index laws
  • Simplify algebraic expressions that involve powers, products and Loading  of simple Loading  containing positive-integer indices

Apply index laws to numerical expressions with negative-integer indices
  • Apply index notation, Loading  and index laws to establish the meaning of negative indices for numerical bases

  • Evaluate numerical expressions involving a negative index by first representing them with a positive index

  • Represent given numbers in index form (integer indices and bases only) and vice versa

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