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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.
Have you heard of the term "exponential growth"? Growth can occur very quickly when powers are involved. See how you can use the power of two to rapidly increase the amount of anything from grain to coins!
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 19-page guide for teachers. It introduces quadratic equations and methods for solving them.
This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.