NHL players are celebrated for their ability to pass the puck quickly and accurately as play moves from one end of the ice to the other. These pinpoint passes, requiring both magnitude and direction, are perfect examples of velocity vectors. "Science of NHL Hockey" is a 10-part video series produced in partnership with the National Science Foundation and the National Hockey League.
Science of NHL Hockey: Vectors
Subject
Science — Physical Science
Grade Level
Grades 3-12
Resource Type
Lesson Plan
Standards Alignment
Common Core State Standards
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Standards
Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., ?, |?|, ‖?‖, ?).
Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
Solve problems involving velocity and other quantities that can be represented by 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.
Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
