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Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212)
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Students make a presentation on the index laws, investigate the visual representation of the binomial expansions and design an acronym to help recall the special products.
This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.
This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.
This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.
This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.