# Trigonometry + Vectors

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

Trigonometry and Vectors syllabus topics

Trigonometry and Vectors 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 **Trigonometry **and **Vectors** syllabus topics in Math SL & HL in one zipped file, you can do that by clicking here.

**♦ ****Trigonometry**

Degrees and Radians

Transformations of Trig Graphs

Area of a Triangle

Cosine Rule

**♦ ****Vectors**

Vector Properties & Scalar Product

#### Trigonometry

** ** **Degrees and Radians - TI-Nspire Activity**

shows different ways of measuring an angle (degrees, radians, revolutions, bearing, gradians) and interactively develops an understanding of relationship between degree measure and radian measure; Degrees and Radians - Teacher Video below

__download TI-Nspire file__: Degrees and Radians.tns

** ** **Transformations of Trig Graphs - TI-Nspire Activity**

dynamic illustrations of how changes in certain parameters for a trigonometric function affect amplitude, period, vertical shift & horizontal shift of the graph of the function; Transformations of Trig Graphs - Teacher Video below

__download TI-Nspire file__: Transformations of Trig Graphs.tns

** ** **Area of a Triangle - TI-Nspire Activity**

dynamic examples of standard formula for area of a triangle showing how it can be used to develop the area formula using two sides and included angle; Area of a Triangle - Teacher Video below

__download TI-Nspire file__: Area of a Triangle.tns

** ** **Cosine Rule - TI-Nspire Activity**

illustrations of the cosine rule incorporating both dynamic algebra working and dynamic diagrams; shows how Pythagoras’ theorem is a special case of the cosine rule; Cosine Rule - Teacher Video below

__download TI-Nspire file__: Cosine Rule.tns

#### Vectors

** ** **Vector Properties & Scalar Product - TI-Nspire Activity**

dynamic exploration of properties of vectors including interactive demonstration of vector addition (triangle rule) and scalar (dot) product; Vector Properties & Scalar Product - Teacher Video

__download TI-Nspire file__: Vector Properties + Scalar Product.tns