2. sketch the graph of y=a x ; 1. understand the properties and significance of the exponential and logarithm 8. simplify expressions by using laws of logarithms, such as: 5. investigate the properties of the logarithmic function; 2. be confident in using the techniques of differentiation and integration; 3. list the properties of an exponential function from its graph; On completion of this Module, students should: develop the ability to use concepts to model and solve real-world problems. 1.