This content is for all students

In this unit you will learn about the different forms of the equation of a straight line, gradient, intercepts, parallel lines, and perpendicular lines. You will also solve problems related to coordinate geometry including finding the distance between two points and the mid point of an interval. These skills will be further developed by finding the equation of the perpendicular bisector.

In this unit you will learn about solving polynomials, including how to solve quadratic functions. You will begin to investigate the key features of quadratic graphs such as intercepts, turning points, axis of symmetry. There will be a strong emphasis on using the GDC to solve functions and graph curves.

Applications HL and all Analysis students will also cover how to solve quadratic equations using the quadratic formula and by completing the square. They will also investigate the discriminant and the sum and product of roots. In addition, they will also learn about how to solve quadratic inequalities.

In this unit you will learn about graphing different polynomials, including using your GDC to assist with this. You will investigate the concept of a function, domain, range, function notation, and inverse functions.

Applications HL and Analysis students will also cover composite functions, transformations of graphs including translations, reflections, vertical and horizontal stretch, and composite transformations.

Analysis students will continue to investigate functions by looking at reciprocal and rational functions.

Analysis HL students will then consider odd and even functions, as well as finding inverse functions including domain restrictions and self-inverse functions.

In this unit we will dive deeper into functions, all topics within this page are for AAHL only. We will go over, partial fractions, rational functions where there are different degree polynomials present, discuss some polynomial theorems. We will look at more advanced functions and you will be able to solve polynomial inequalities both graphically and analytically.