V.3.ATMM

V.3.ATMM

V.3.ATMM.1Recognize vector quantities as having both magnitude and direction; represent vector quantities by directed line segments and use appropriate symbols for vector and their magnitudes (e.g., v,|v|,||v||,v)V.3.ATMM.2Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal pointV.3.ATMM.3Solve problems involving velocity and other quantities that can be represented by vectorsV.3.ATMM.4Add 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 magnitudesV.3.ATMM.5Determine the magnitude and direction of the sum of two given vectors in magnitude and direction formV.3.ATMM.6Understand vector subtraction; v - w as v + (-w), where –w is the additive inverse of w, with the same magnitude as w pointing in the opposite direction; represent vector subtraction graphically by connecting the tips in the appropriate order and perform vector subtraction component-wiseV.3.ATMM.7Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise [e.g., as c(vx,vy) = (c vx ,c vy)]V.3.ATMM.8Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v; compute the direction of cv knowing that when the |c|v ≠ 0, the direction cv is either along v (for c > 0 ) or against v (c < 0)
Goblins

1-on-1 AI tutoring aligned to V.3.ATMM. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →