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Prealculus - Unit Three

Hogsmeade by Vectors

This unit covers vectors in the plane, including component form, vector operations, unit vectors, direction angles, applications of vectors, the dot product, angles between two vectors, and finding vector components. These ideas are developed through exploration and discovery, combined with technology resources and hands-on activities that allow students to manipulate the vectors and see connections between the mathematics content and real-world situations.

Click on a link to jump ahead to the following sections:

  • Lessons
  • Other Resources




Series

Lessons

  • Lesson 1: Introduction to Vectors
    • 3.1 Investigation - Walking and Flying Around Hogsmeade
    • 3.1 Practice - Vector Basics - Practice

  • Lesson 2: Vector Operations in Component Form
    • 3.2 Investigation - Shopping in Hogsmeade
    • 3.2 Practice - Vector Basics - Practice


  • Lesson 3: Vector Operations in Magnitude-Direction Form
    • 3.3 Investigation - A Delicate Operation
    • 3.3 Practice - More Vector Operatins - Practice


  • Lesson 4: Problem Solving with Vectors
    • 3.4 Investigation - 3-Way Tug of War… and More
    • 3.4 Practice - Vector Applications - Practice


  • Lesson 5: Vectors as Transformations
    • 3.5 Investigation - He Who Must Not Be Named
    • 3.5 Practice - Vectors as Transformations - Practice


  • Lesson 6: Projections of 3-D Objects
    • 3.6 Investigation - First Person Computer Games
    • 3.6 Practice - 3-D Projections - Practice


  • Assessment: Create Your Own Game
    • 3.9 UPA - Create Your Own Game






Resources - Vectors

The following are links to resources for Vectors:

  • Entire Unit - Coming Soon

  • Vectors - Entire unit on Khan Academy


The following are other free resources:

  • GeoGebra - Free online math tools

  • Desmos - Free online graphing calculator







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