Where Is My Arrow Pointing? (Components of a Vector Assessment)

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This learning activity will be used to find components of a vector and is intended for an assessment activity. The students will complete the Where Is My Arrow Pointing Assessment to demonstrate mastery of how to find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

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

Phase

After/Explain/Elaborate

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.9
Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

Vocabulary

Components
Initial Point
Terminal Point

Knowledge

Students know:

If a vector is transposed in the xy-plane, it retains its magnitude and direction.

Skills

Students are able to:

Transpose a vector from one position to another position in the xy-plane.
Find the component form of a vector.

Understanding

Students understand that:

Vectors having the same magnitude and direction are equivalent regardless of where they are in the xy-plane.
Vectors in standard position have a terminal point that is equal to the components of the vector.

Learning Objectives

Students will be able to find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

Activity Details

After/Explain/Elaborate Activity:

This activity will be used at the end of Finding the Components of a Vector lesson.
The teacher will distribute the Where Is My Arrow Pointing Assessment.
The students will complete the Where Is My Arrow Pointing Assessment independently to demonstrate mastery of how to find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point (this can be done as a whole group or assigned through Google Classroom).
The teacher will circulate the room to check for understanding of adding and subtracting vectors and can correct mistakes and misunderstandings as needed.

Assessment Strategies

The Where is My Arrow Pointing Assessment will be used to assess the students' mastery.
The teacher is able to assess students' understanding while the students are working on the assessment.
Upon completion, the teacher will take up the completed worksheet and ensure at least 80% mastery of the skill.
After the assessment has been completed, the teacher should have meaningful dialogue on the process and procedures for finding the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
Students should be allowed to collaborate and work problems out on the board for clarity for those who are still having trouble.

Variation Tips

The Where Is My Arrow Pointing Assessment could be assigned through Google Classroom.
The teacher could assign students to work in pairs instead of individually.

Background / Preparation

The teacher will need to make copies of the Where Is My Arrow Pointing Assessment before the lesson (suggestion: print 2 pages per page).
Students will need prior knowledge of vector quantities.

Where Is My Arrow Pointing? Google Doc

https://docs.google.com/document/d/1xjker_0pZerk2oxMFXU8cq-ixaLCAjQ_lwUb3SpwPhU…

Approved Date

2020-07-16

Owner (Author)

yvetteakridge

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