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

**Description:**
In this two-lesson unit, from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. They develop an understanding that vectors are composed of both magnitude and direction, and extend their knowledge of number systems to the system of vectors.
**Standard(s): **

[MA2015] AM1 (9-12) 5: (+) Understand vector subtraction **v** - **w** as **v** + (-**w**), where (-**w**) is the additive inverse of **w**, with the same magnitude as **w** and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise, including vectors in complex vector spaces. [N-VM4c] (Alabama)

**Subject:**Mathematics

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

**Description:**In this two-lesson unit, from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. They develop an understanding that vectors are composed of both magnitude and direction, and extend their knowledge of number systems to the system of vectors.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Learning about Properties of Vectors and Vector Sums Using Dynamic Software: Sums of Vectors and Their Properties

**Description:**
This is part two of a two-part e-example from Illuminations that illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties. In this part, Sums of Vectors and Their Properties, students extend their knowledge of number systems to the system of vectors. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.
**Standard(s): **

[MA2015] AM1 (9-12) 5: (+) Understand vector subtraction **v** - **w** as **v** + (-**w**), where (-**w**) is the additive inverse of **w**, with the same magnitude as **w** and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise, including vectors in complex vector spaces. [N-VM4c] (Alabama)

**Subject:**Mathematics

**Title:**Learning about Properties of Vectors and Vector Sums Using Dynamic Software: Sums of Vectors and Their Properties

**Description:**This is part two of a two-part e-example from Illuminations that illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties. In this part, Sums of Vectors and Their Properties, students extend their knowledge of number systems to the system of vectors. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12