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

♦ 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