**Title:** Sums of Vectors and Their Properties

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. In the process, they extend their knowledge of number systems to the system of vectors.
**Standard(s): **

[MA2015] AM1 (9-12) 3: (+) Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes. Find the dot product and the cross product of vectors. [N-VM4a] (Alabama)

**Subject:**Mathematics

**Title:**Sums of Vectors and Their Properties

**Description:**In this lesson, one of a multi-part unit from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. In the process, they 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

**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:** Components of a Vector

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. In the process, they develop an understanding that vectors are composed of both magnitude and direction.
**Standard(s): **

[MA2015] AM1 (9-12) 4: (+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum, including vectors in complex vector spaces. [N-VM4b] (Alabama)

**Subject:**Mathematics

**Title:**Components of a Vector

**Description:**In this lesson, one of a multi-part unit from Illuminations, students manipulate a velocity vector to control the movement of an object in a gamelike setting. In the process, they develop an understanding that vectors are composed of both magnitude and direction.

**Thinkfinity Partner:**Illuminations

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

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

**Description:**
This e-example from Illuminations illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties. Students manipulate a velocity vector to control the movement of an object in a gamelike setting. In this part, Components of a Vector, students will develop an understanding that vectors are composed of both magnitude and direction. In the second 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 of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. 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) 4: (+) Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum, including vectors in complex vector spaces. [N-VM4b] (Alabama)

**Subject:**Mathematics,Science

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

**Description:**This e-example from Illuminations illustrates how using a dynamic geometrical representation can help students develop an understanding of vectors and their properties. Students manipulate a velocity vector to control the movement of an object in a gamelike setting. In this part, Components of a Vector, students will develop an understanding that vectors are composed of both magnitude and direction. In the second 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 of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. 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

**Title:** Vector Investigation: Boat to the Island

**Description:**
In this student interactive, from Illuminations, students '' drive'' a boat by adjusting the magnitude and direction of a velocity vector. The goal is to land the boat on the island without hitting the walls.
**Standard(s): **

[MA2015] AM1 (9-12) 2: (+) Solve problems involving velocity and other quantities that can be represented by vectors, including navigation (e.g., airplane, aerospace, oceanic). [N-VM3] (Alabama)

**Subject:**Mathematics

**Title:**Vector Investigation: Boat to the Island

**Description:**In this student interactive, from Illuminations, students '' drive'' a boat by adjusting the magnitude and direction of a velocity vector. The goal is to land the boat on the island without hitting the walls.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8,9,10,11,12

**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