SL 2.1—Equations of straight lines, parallel and perpendicular
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
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—Key features of graphs, intersections using technology
SL 2.7—Solutions of quadratic equations and inequalities, discriminant and nature of roots
Solution of quadratic equations and inequalities. The quadratic formula.
The discriminant and the nature of the roots, that is, two distinct real roots, two equal real roots, no real roots.
SL 2.9—Exponential and logarithmic functions
Exponential functions and their graphs
The function f(x) = a^x or f(x) = e^x and its graph.
Logarithmic functions and their graphs:
The function f(x) = log(x) or f(x) = ln(x) and its graph.
SL 2.10—Solving equations graphically and analytically
AHL 2.12—Factor and remainder theorems, sum and product of roots
AHL 2.14—Odd and even functions, self-inverse, inverse and domain restriction
AHL 2.15—Solutions of inequalities
AHL 2.16—Graphing modulus equations and inequalities