ALEX Resources

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Learning Activities (3) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (5)

ALEX Learning Activities  
   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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Scalar Multiplication of Matrices Practice
Description:

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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Multiplying a Vector by a Scalar
Description:

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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Scalar Multiplication of Matrices Lesson
Description:

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. 



ALEX Learning Activities: 3

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ALEX Classroom 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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Tangent Vectors | Zombies and Calculus
URL: https://aptv.pbslearningmedia.org/resource/nvnd-math-zombiecalc2/zombies-and-calculus-part-2/
Description:

Learn about tangent vectors in this video from NOVA Digital. In this hypothetical world, zombies always move straight toward humans. This means that the tangent vector of a zombie's path points at the intended target. However, when the human moves, the zombie's tangent vector points to where the human is at that instant, not to where the human is going. The zombie is not smart enough to move toward where the human will be. Therefore, the zombie takes a longer path, giving the human the chance to get away. If the human moves faster than the zombies in a circular path, multiple zombies will eventually converge on a smaller circular path that follows the human's path.


   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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Vector Scalar Product Practice
URL: https://www.ck12.org/assessment/ui/?test/view/practice/calculus/vector-scalar-product-Practice&collectionHandle=calculus&collectionCreatorID=3&conceptCollectionHandle=calculus-::-vector-scalar-product?referrer&ep=https://www.ck12.org/c/calculus/vector-sca
Description:

This self-checking online assessment has 10 questions that will help students practice the skill of multiplying a vector by a scalar. There are hints available on the screen, and there is an online scratchpad that students can use to work the problems.


   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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Multiplying a Vector By a Scalar
URL: https://www.ck12.org/c/calculus/vector-scalar-product/lecture/Multiplying-a-Vector-by-a-Scalar/?referrer=concept_details
Description:

This video will help students learn how to multiply vectors by scalars and the different algebraic properties of scalar multiplication. 


   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(vx, vy) = (cvx, cvy)

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).
Subject: Mathematics (9 - 12)
Title: Vector Scalar Product: Boat Race
URL: https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.CAL.802.04&questionId=5588549b5aa4135d4637e9ef&artifactID=2175846&conceptCollectionHandle=calculus-::-vector-scalar-product&collectionCreatorID=3&plix_redirect=1
Description:

This interactive game will test students' knowledge of vector-scalar multiplication with the following scenario:

An orange motorboat and a blue sailboat are racing. The sailboat can go faster but must move diagonally with the wind. The motorboat isn't as fast, but it can race straight from start to finish.

In this race, each vector represents how far the boat travels in one hour of racing. 

    • To see how far the boat will travel in multiple hours, drag the red points to move the blue and orange vectors from the box in the corner and put them end to end starting with the vector attached to the boat.
    • To change the speeds of the boats, drag the red points of the vectors attached to the boats.

ALEX Classroom Resources: 4

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