# Algebra + Functions & Equations

### student activities on the TI-Nspire: Algebra and Functions & Equations syllabus topics

Click on the name of an activity in the list below to move directly to the teacher video and TI-Nspire file download for that activity - or simply scroll through the activities/teacher videos below the list. There is a very brief description for each activity, but the best way to gain some insight into the activity is to watch the teacher video. Although the 'type' of each TI-Nspire file is a TI-Nspire CAS Teacher Software Document, it will run on both the CAS and non-CAS version of the handheld device or computer software. If you wish to download all eight of the TI-Nspire activities relevant for the Algebra and Functions & Equations syllabus topics in Math SL & HL in one zipped file, you can do that by clicking here.

Algebra
Argand Diagram
Mandelbrot Set

#### Algebra

Argand Diagram - TI-Nspire Activity
offers different ways of manipulating complex numbers in the complex plane; explore geometric meanings of modulus & argument, de Moivre’s theorem, and relationship between complex numbers in a numerical and dynamic manner; Argand Diagram - Teacher Video below

Mandelbrot Set - TI-Nspire Activity
visual illustration of how an iterative process with complex numbers generates the well-known fractal image for the Mandelbrot Set; Mandelbrot Set - Teacher Video below

#### Functions & Equations

Function Explorer - TI-Nspire Activity
interactive demonstrations of input (domain) and output (range) for polynomial functions; interactive construction of inverse functions along with finding inverse function algebraically; dynamic illustration of restricting domain of a function to ensure its inverse is a function; Function Explorer - Teacher Video below

Inverse Function Graphs - TI-Nspire Activity
interactive activity that visually demonstrates the relationship between a function and its inverse while emphasizing important concepts about inverse functions; Inverse Function Graphs - Teacher Video below

Inverse Functions - TI-Nspire Activity
interactive activity that visually demonstrates the relationship between a function and its inverse while emphasizing important concepts about inverse functions; Inverse Functions - Teacher Video below

Graph Transformations - TI-Nspire Activity
interactive exploration of all types of transformations with a wide range of different functions; Graph Transformations - Teacher Video below

Roots of Polynomials - TI-Nspire Activity
dynamic illustration of a family of curves having the same roots (zeros); Roots of Polynomials - Teacher Video below