ALEX Learning Activity Resources

   View Standards     Standard(s): [MA2019] PRE-19 (9-12) 13 :

13. Multiply a vector by a scalar.

a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.

Example: c(v_x, v_y) = (cv_x, cv_y)

b. Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).

Students will use the Quizizz response system to review multiplying matrices by scalars to produce new matrices. This Scalar Multiplication of Matrices Practice Quizizz game has twenty questions to test the understanding of multiplying matrices by scalars and is intended to be used as an after-activity. Quizizz allows the teacher to conduct student-paced formative assessments through quizzing, collaboration, peer-led discussions, and presentation of content in a fun and engaging way for students.

   View Standards     Standard(s): [MA2019] PRE-19 (9-12) 13 :

13. Multiply a vector by a scalar.

a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.

Example: c(v_x, v_y) = (cv_x, cv_y)

b. Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).

This learning activity will be used to introduce multiplying a vector by a scalar and is intended as an introduction activity. The students will watch the Multiplying A Vector By A Scalar 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 computing the magnitude of a scalar multiple.

   View Standards     Standard(s): [MA2019] PRE-19 (9-12) 13 :

13. Multiply a vector by a scalar.

a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.

Example: c(v_x, v_y) = (cv_x, cv_y)

b. Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).

This learning activity will be used during a lesson on Scalar Multiplication. Students will explore how to multiply a scalar into matrices in order to produce new matrices. The teacher will use the Scalar Multiplication Lesson Practice to cover the “I Do” and “We Do” portions of the lesson to check for lesson objective comprehension.