# Lesson Plan: Magnitude of a 2D Vector Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine the magnitude of two-dimensional vectors.

#### Objectives

Students will be able to

• interpret the magnitude of a vector as its length as represented in a 2D coordinate system,
• find the magnitude of a 2D vector that is given in component form or in terms of unit vectors,
• find the magnitude of a 2D vector that is given graphically,
• find the possible values for an an unknown component in a 2D vector when given its magnitude,
• understand that vectors of magnitude one are called unit vectors,
• understand that vectors of magnitude zero are called zero vectors.

#### Prerequisites

Students should already be familiar with

• the Pythagorean theorem,
• unit vectors,
• vectors in component form and in terms of unit vectors,
• representing 2D vectors graphically.

#### Exclusions

Students will not cover

• adding and subtracting vectors,
• scalar multiplication of vectors,
• 3D vectors,
• the dot product or cross product.

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