**Title:** Vectors Drive the Boat

**Description:**
Using a combination of online exploration and teacher instruction students will discover that vectors have both magnitude and direction. They will be able to use vectors to represent problem situations. Students will also be will be able to perform basic operations on vectors.
**Standard(s): **

[MA2015] PRE (9-12) 8: (+) Add and subtract vectors. [N-VM4]

**Subject:**Mathematics (9 - 12)

**Title:**Vectors Drive the Boat

**Description:**Using a combination of online exploration and teacher instruction students will discover that vectors have both magnitude and direction. They will be able to use vectors to represent problem situations. Students will also be will be able to perform basic operations on vectors.

**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:** Orbiting Satellites

**Description:**
In this lesson, from Illuminations, students explore the concept of orbits, specifically the connection of Earth-orbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a real-world situation.
**Standard(s): **

[MA2015] PRE (9-12) 7: (+) Solve problems involving velocity and other quantities that can be represented by vectors. [N-VM3]

**Subject:**Mathematics,Science

**Title:**Orbiting Satellites

**Description:**In this lesson, from Illuminations, students explore the concept of orbits, specifically the connection of Earth-orbiting satellites to the study of the environment. Both geometric and algebraic concepts are presented to students in this application of science and mathematics to a real-world situation.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8