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MathematicsYear 9

Algebra

  1. AC9M9A01 apply the exponent laws to numerical expressions with integer exponents and extend to variables
  2. AC9M9A02 simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
  3. AC9M9A03 find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
  4. AC9M9A04 identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate
  5. AC9M9A05 use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings
  6. AC9M9A06 experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns

Sample Questions — Algebra