Standard #: MAFS.912.N-VM.2.4 (Archived Standard)


This document was generated on CPALMS - www.cpalms.org



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.


Related Courses

Course Number1111 Course Title222
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 Resources

Educational Game

Name Description
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.

Educational Software / Tool

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

Lesson Plan

Name Description
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.

Perspectives Video: Professional/Enthusiast

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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!

Perspectives Video: Teaching Ideas

Name Description
Hands-on Vectors

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

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.

Text Resource

Name Description
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.

Student Resources

Educational Game

Name Description
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.

Perspectives Video: Professional/Enthusiast

Name Description
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!



Parent Resources

Perspectives Video: Professional/Enthusiast

Name Description
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!



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