IB Maths Applications and Interpretation SL: Functions - Quadratics and Cubic

The following presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook.

The PowerPoint goes through the following:
-recaps domain and range
-recaps x- and y-intercepts
-recaps asymptotes
-how to use the GDC to sketch functions and find domain and range
-how to find x-intercepts
-composite functions
-operations with functions (addition, subtraction, multiplication and division)
-what is a a Power function?
-leading coefficient
-even and odd degree polynomials
-quadratic functions - all 3 forms (standard, factored, and vertex form)
-axis of symmetry
-finding equations from graphs
-application questions
-cubic functions
-inverse cubic functions
-sketching both quadratic and cubic graphs
-finding equations of cubic graphs
-application question with cubic functions

Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from American SAT exams. There are also links to YouTube videos to help students understanding with certain questions.