Illuminations: Learning about Properties of Vectors and Vector Sums Using Dynamic Software

# Learning about Properties of Vectors and Vector Sums Using Dynamic Software

This example illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties, as described in the Number and Operations Standard. Students manipulate vectors to control the movement of objects. Students learn that vectors are composed of magnitude and direction, and they extend their knowledge of number systems to the system of vectors.

### Individual Lessons

Lesson 1 - Components of a Vector

In this lesson, students manipulate a velocity vector to control the movement of a car in a game setting. Students learn that vectors are composed of two components: magnitude and direction.

Lesson 2 - Sums of Vectors and Their Properties

This example illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties, as described in the Number and Operations Standard. Students manipulate a two vectors to control the movement of a plane in a gamelike setting. Students extend their knowledge from the first lesson to further investigate the system of vectors.

### NCTM Resources

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