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Common Core

N-VM.A.1

8 lessons teach this standard. Every lesson is interactive, and every one prints as a worksheet with a separate answer key.

Multivariable Calculus · Chapter 1 · Lesson 1

Vectors in Three Dimensions

A third coordinate, and everything else stays the same.

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Multivariable Calculus · Chapter 2 · Lesson 1

Vector-Valued Functions

One input, three outputs, a curve through space.

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Multivariable Calculus · Chapter 2 · Lesson 2

Velocity and Acceleration

Differentiate each component and get motion.

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Multivariable Calculus · Chapter 2 · Lesson 3

Arc Length and Curvature

How long the path is, and how sharply it bends.

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Multivariable Calculus · Chapter 5 · Lesson 1

The Gradient Vector

Both partial derivatives, packed into one arrow.

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Multivariable Calculus · Chapter 5 · Lesson 3

Gradient Fields and Normal Lines

The gradient of a whole surface, drawn everywhere at once.

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Multivariable Calculus · Chapter 8 · Lesson 1

Vector Fields

A whole arrow at every point of the plane.

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Linear Algebra · Chapter 1 · Lesson 1

Vectors and Their Arithmetic

Arrows you can add and stretch.

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