# Algebra + Functions & Equations

**student activities on the TI-Nspire:**

Algebra and Functions & Equations syllabus topics

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

**♦ ****Functions & Equations**

Function Explorer

Inverse Function Graphs

Inverse Functions

Graph Transformations

Roots of Polynomials

Linear, Quadratic & Cubic Functions

Sum & Product of Roots of a Polynomial

#### 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

__download TI-Nspire file__: Argand Diagram.tns

** ** **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

__download TI-Nspire file__: Mandelbrot Set.tns

#### 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

__download TI-Nspire file__: Function Explorer.tns

** ** **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

__download TI-Nspire file__: Inverse Function Graphs.tns

**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

__download TI-Nspire file__: Inverse Functions.tns

** ** **Graph Transformations - TI-Nspire Activity**

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

__download TI-Nspire file__: Graph Transformations.tns

** ** **Roots of Polynomials - TI-Nspire Activity**** **

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

__download TI-Nspire file__: Roots of Polynomials.tns

** ** **Linear, Quadratic & Cubic Functions - TI-Nspire Activity**

simultaneous multiple representations of linear, quadratic & cubic functions that can be dynamically manipulated; Linear, Quadratic & Cubic Functions - Teacher Video below

__download TI-Nspire file__: Linear Quadratic + Cubic Functions.tns

** ** **Sum & Product of Roots of a Polynomial - TI-Nspire Activity**

generates endless user-controlled examples so that the connection between the coefficients of a polynomial and the sum and product of its roots can be worked out; Sum & Product of Roots of a Polynomial - Teacher Video below

__download TI-Nspire file__: Sum + Product of Roots of a Polynomial.tns