MAFS.912.N-VM.2.4Archived Standard

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Add and subtract vectors.
  1. Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.
  2. Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
  3. Understand vector subtraction v – w as v + (–w), where –w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Number & Quantity: Vector & Matrix Quantities
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Perform operations on vectors.
Date Adopted or Revised: 02/14
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

Related Courses

This benchmark is part of these courses.
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1211300: Trigonometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Game

Vector Island - Boat to Island:

This is an online game where students are asked to navigate a boat using vectors to reach a goal. There are 3 different modes of the game to help students deepen their understanding of the concept. This game is to be used in conjunction with a full lesson on vectors.

Type: Educational Game

Educational Software / Tool

Free Graph Paper:

A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart.

Type: Educational Software / Tool

Lesson Plan

Vectors: Tip to Tail:

In this lesson students will learn the characteristics and appropriate use of vectors. They will find the magnitude and direction of vectors, they will add and subtract vectors and use an interactive website to practice what they have learned.

Type: Lesson Plan

Perspectives Video: Professional/Enthusiast

Wind Vector Arithmetic for Making a Flight Plan:

Math is important to help you get where you want to go in life, especially if you plan to fly there!

Type: Perspectives Video: Professional/Enthusiast

Perspectives Video: Teaching Ideas

Hands-on Vectors:

Can't tell if it's heads or tails with vectors? Try these demos.

Type: Perspectives Video: Teaching Idea

KROS Pacific Ocean Kayak Journey: Kites, Geometry, and Vectors:

Set sail with this math teacher as he explains how kites were used for lessons in the classroom.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set [.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth [.KML]

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Teaching Idea

Text Resource

Maths Goes to the Movies:

This informational text resource is intended to support reading in the content area. The text shows how math is used to create the life-like computer generated images seen in movies such as Jurassic Park and Lord of the Rings.

Type: Text Resource

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Educational Game

Vector Island - Boat to Island:

This is an online game where students are asked to navigate a boat using vectors to reach a goal. There are 3 different modes of the game to help students deepen their understanding of the concept. This game is to be used in conjunction with a full lesson on vectors.

Type: Educational Game

Perspectives Video: Professional/Enthusiast

Wind Vector Arithmetic for Making a Flight Plan:

Math is important to help you get where you want to go in life, especially if you plan to fly there!

Type: Perspectives Video: Professional/Enthusiast

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Perspectives Video: Professional/Enthusiast

Wind Vector Arithmetic for Making a Flight Plan:

Math is important to help you get where you want to go in life, especially if you plan to fly there!

Type: Perspectives Video: Professional/Enthusiast