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  • Vectors
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  • Rates of Change
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MCV4U Companion Activities

Author:
Kara Babcock
This is a collection of activities that are used in an online version of Grade 12 Calculus and Vectors (MCV4U), originally designed at Lakehead Adult Education Centre.
MCV4U Companion Activities

Table of Contents

  • Vectors

    • Vector Addition with Parallelograms
    • Vector Addition with Triangles
    • Components of a Vector
    • Vectors in 3D Basics
    • Dot Product Visualization
    • Vector Projection Visualization
    • Cross Product and Area Visualization
    • Cross Product Magnitude as Area of Parallelogram
  • Lines and Planes in 3-space

    • Example of a Plane through 3 Points
    • Coincident Planes
    • Parallel, Distinct Planes
    • Two Planes Intersecting in a Line
    • 3 Coincident Planes
    • 2 Coincident Planes & 1 Parallel Plane
    • 3 Parallel Planes
    • 3 Planes Intersecting Along Distinct Lines
    • 3 Planes Intersecting Along 1 Line
    • 3 Planes Intersecting at a Point
    • Line Lying within a Plane
    • Line Parallel to a Plane
    • Line Intersecting a Plane at a Point
    • Coincident and Parallel Lines
    • Lines Intersecting at a Point
    • Skew Lines
  • Rates of Change

    • Slope of a Line
    • Slope of Secant versus Tangent
    • Tangents at a point
    • Tangent to Exponential Functions
    • Calculus - Derivative of exponential functions f(x)=b^x
  • Applications

    • Effect of Translations on the Derivative
    • Effect of Reflections on the Derivative
    • Effect of Stretches on the Derivative
    • Minimizing Trail Length Problem
Next
Vector Addition with Parallelograms

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