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Common Core

F-IF.B.6

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

Algebra 1 · Chapter 3 · Lesson 4

Rate of Change

How fast the output moves as the input does.

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Algebra 1 · Chapter 4 · Lesson 2

Slope from Two Points

Rise over run, and what its sign says.

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Integrated Math 1 · Chapter 2 · Lesson 1

Slope and Rate of Change

How fast one thing changes with another.

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Multivariable Calculus · Chapter 4 · Lesson 1

Partial Derivatives

Hold one variable still and differentiate the other.

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Multivariable Calculus · Chapter 4 · Lesson 2

Tangent Planes and Linear Approximation

Zoom in far enough and every surface is flat.

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Multivariable Calculus · Chapter 4 · Lesson 3

The Multivariable Chain Rule

Every path the change can travel gets added up.

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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 2

Directional Derivatives

The rate of change in any direction you choose.

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Multivariable Calculus · Chapter 7 · Lesson 1

Double Integrals

Volume under a surface, one direction at a time.

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Multivariable Calculus · Chapter 7 · Lesson 2

Double Integrals in Polar Coordinates

Round regions want round coordinates.

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Multivariable Calculus · Chapter 7 · Lesson 3

Triple Integrals

Three integrals, and the answer is mass or volume.

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Differential Equations · Chapter 1 · Lesson 1

What a Differential Equation Is

An equation whose unknown is a whole function.

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Differential Equations · Chapter 1 · Lesson 2

Slope Fields

The shape of every solution, before solving anything.

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Differential Equations · Chapter 2 · Lesson 1

Separable Equations

Get the y terms on one side and integrate.

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Differential Equations · Chapter 3 · Lesson 1

Linear First-Order Equations

When separation fails, multiply by something clever.

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Differential Equations · Chapter 4 · Lesson 1

Euler's Method

Step forward along the tangent line, over and over.

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Differential Equations · Chapter 4 · Lesson 3

Better Numerical Methods

Sampling the slope more than once per step.

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Differential Equations · Chapter 5 · Lesson 1

Second-Order Linear Equations

Two derivatives, two constants, two basic solutions.

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Differential Equations · Chapter 5 · Lesson 2

The Characteristic Equation

Guess an exponential and the calculus becomes algebra.

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Differential Equations · Chapter 5 · Lesson 3

Nonhomogeneous Equations

A particular answer, plus everything the homogeneous part allows.

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Differential Equations · Chapter 8 · Lesson 1

The Laplace Transform

Turning calculus into algebra, then turning it back.

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