SL 2.1  Different forms of the equation of a straight line.  

            Gradient; intercepts.  Lines with gradients m1 and m2  Parallel lines m1 = m2.  Perpendicular lines m1 × m2 = − 1. 

SL 2.2  Concept of a function, domain, range and graph. Function notation, for example f(x) , v(t) , C(n). 

             The concept of a function as a mathematical model. 

             Informal concept that an inverse function reverses or undoes the effect of a function.

             Inverse function as a reflection in the line y = x, and the notation f −1(x) 

SL 2.3  The graph of a function; its equation y = f(x) 

             Creating a sketch from information given or a context, including transferring a graph from screen to paper.

             Using technology to graph functions including their sums and differences. 

SL 2.4 Determine key features of graphs. Maximum and minimum values; intercepts; symmetry; vertex; zeros of functions or roots of equations;

            vertical and horizontal asymptotes using graphing technology.

            Finding the points of intersection of two curves or lines using technology.

SL 2.5 Modelling with the following functions: Linear models. f x = mx + c. 

            Quadratic models. f x = ax2 + bx + c ; a ≠ 0. Axis of symmetry, vertex, zeros and roots, intercepts on the x-axis and y -axis. 

            Exponential growth and decay models. f(x) = kax + c f(x) = ka−x + c (for a > 0) f(x) = ke rx + c Equation of a horizontal asymptote 

           Direct/inverse variation: f x = axn , n ∈ ℤ The y-axis as a vertical asymptote when n < 0. 

           Cubic models: f x = ax3 + bx2 + cx + d. Sinusoidal models: f x = asin(bx) + d, f x = acos(bx) + d. 

SL 2.6 Modelling skills: Use the modelling process described in the “mathematical modelling” section to create, fit and use the theoretical models

           in section SL2.5 and their graphs. 

           Develop and fit the model: Given a context recognize and choose an appropriate model and possible parameters. 

           Determine a reasonable domain for a model. Find the parameters of a mode 

           Test and reflect upon the model: Comment on the appropriateness and reasonableness of a model.

           Justify the choice of a particular model, based on the shape of the data, properties of the curve and/or on the context of the situation. 

           Use the model: Reading, interpreting and making predictions based on the model.