Number: MAFS.912.N-VM.2
Title: Perform operations on vectors.
Type:
Cluster
Subject: Mathematics - Archived
Grade: 912
Domain-Subdomain: Number & Quantity: Vector & Matrix Quantities
Related Standards
This cluster includes the following benchmarks
| Code |
Description |
| MAFS.912.N-VM.2.4: | Add and subtract vectors.
- 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.
- Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
- 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.
|
| MAFS.912.N-VM.2.5: | Multiply a vector by a scalar.
- Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c
 =  . - 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).
|
Related Resources
Vetted resources educators can use to teach the concepts and skills in this topic.
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 (such as Geogebra, phet, etc.) to practice what they have learned. |
Perspectives Video: Professional/Enthusiast
Perspectives Video: Teaching Ideas
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
Vetted resources students can use to learn the concepts and skills in this topic.
Educational Game
| Title |
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
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Perspectives Video: Professional/Enthusiast
