Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264)

Use the definition of a logarithm to establish and apply the laws of logarithms (ACMNA265)

Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems (ACMNA266)

Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations (ACMNA267)

Solve simple exponential equations (ACMNA270)

Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation (ACMNA268)

Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts (ACMNA269)