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Common Core

F-IF.B.4

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

Algebra 1 · Chapter 4 · Lesson 1

Forms of a Linear Equation

Three ways to write the same line.

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Algebra 1 · Chapter 8 · Lesson 4

The Vertex and Axis of Symmetry

The turning point, and the mirror through it.

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Trigonometry · Chapter 6 · Lesson 3

Modeling with Sinusoids

Fit a wave to something that actually repeats.

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Integrated Math 2 · Chapter 1 · Lesson 1

Graphs of Quadratic Functions

The parabola and its features.

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Integrated Math 2 · Chapter 1 · Lesson 3

Modeling with Quadratics

Projectiles, areas, and maximum values.

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Integrated Math 3 · Chapter 5 · Lesson 3

Modeling Periodic Phenomena

Fitting a wave to something that repeats.

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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 3 · Lesson 2

Level Curves and Contour Maps

The surface, seen from directly above.

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Multivariable Calculus · Chapter 3 · Lesson 3

Limits and Continuity in the Plane

Now there are infinitely many ways to approach.

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Multivariable Calculus · Chapter 6 · Lesson 1

Critical Points and the Second Derivative Test

Flat spots, and how to tell which kind you found.

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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 1 · Lesson 3

Equilibria and Stability

The values a system settles into, and the ones it runs from.

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Differential Equations · Chapter 2 · Lesson 3

The Logistic Equation

Growth that runs into a limit.

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Differential Equations · Chapter 3 · Lesson 3

Autonomous Equations and the Phase Line

When the rate depends only on the state.

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Differential Equations · Chapter 6 · Lesson 1

Simple Harmonic Motion

A restoring force proportional to the displacement.

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Differential Equations · Chapter 6 · Lesson 2

Damping

Friction, and the three ways a system can settle.

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Differential Equations · Chapter 6 · Lesson 3

Forced Oscillation and Resonance

Pushing at the right rhythm, and what it costs.

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Differential Equations · Chapter 7 · Lesson 2

Phase Portraits

The whole future of a system, drawn in one picture.

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