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**Standard(s): **
[MA2015] PRE (9-12) 9 :

9 ) (+) Multiply a vector by a scalar. [N-VM5]

a. (+) Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as *c*(*v*_{x}, *v*_{y}) = (*cv*_{x}, *cv*_{y}). [N-VM5a]

b. (+) Compute the magnitude of a scalar multiple *c***v** using ||*c***v**|| = |*c*|v. Compute the direction of *c***v** knowing that when |*c*|v ≠ 0, the direction of *c***v** is either along **v** (for *c* > 0) or against **v** (for *c* < 0). [N-VM5b]

This learning activity will be used to introduce multiplying a vector by a scalar and is intended for an introduction activity. The students will watch the Scalar and Vector video to learn how to multiply a vector by a scalar. This activity will lead to learning how to represent scalar multiplication graphically by scaling vectors and possibly reversing their direction and compute the magnitude of a scalar multiple.

*This activity was created as a result of the ALEX Resource Development Summit.*

9 ) (+) Multiply a vector by a scalar. [N-VM5]

a. (+) Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as *c*(*v*_{x}, *v*_{y}) = (*cv*_{x}, *cv*_{y}). [N-VM5a]

b. (+) Compute the magnitude of a scalar multiple *c***v** using ||*c***v**|| = |*c*|v. Compute the direction of *c***v** knowing that when |*c*|v ≠ 0, the direction of *c***v** is either along **v** (for *c* > 0) or against **v** (for *c* < 0). [N-VM5b]

This learning activity will be used during a lesson on using scalar multiplication with vectors. Students will explore how to perform scalar multiplication component-wise and represent scalar multiplication graphically. This activity will lead to learning how to compute the magnitude of a scalar multiple *c***v** using ||*c***v**|| = |*c*|v. The teacher will use the Scalar Multiplication of Vectors Lesson to cover the “I Do,” “We Do,” and “You Do” portions of the lesson.

*This activity was created as a result of the ALEX Resource Development Summit.*