ALEX Classroom Resources

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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