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Common Core

F-IF.C.7

24 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 5

Piecewise Functions

Different rules on different stretches.

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Algebra 1 · Chapter 4 · Lesson 5

Intercepts and Standard Form

Where the line meets each axis.

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Algebra 1 · Chapter 8 · Lesson 1

Parabolas and Their Roots

What the graph tells you about the solutions.

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Algebra 2 · Chapter 1 · Lesson 1

Shifting, Stretching, and Reflecting

One set of rules for every curve.

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Algebra 2 · Chapter 1 · Lesson 2

Piecewise and Absolute Value Functions

A V-shape is two lines in disguise.

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Algebra 2 · Chapter 3 · Lesson 1

Polynomial Behavior and the Factor Theorem

What the degree tells you before you draw anything.

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Algebra 2 · Chapter 4 · Lesson 1

Rational Functions and Extraneous Solutions

Where the graph breaks, and where answers go wrong.

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Algebra 2 · Chapter 5 · Lesson 3

Graphing Radical Functions

Half a parabola, lying on its side.

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Trigonometry · Chapter 3 · Lesson 1

Amplitude, Period, and Shift

Reading a wave from its equation.

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Trigonometry · Chapter 3 · Lesson 2

Period and Phase Shift

The coefficient inside squeezes; the number inside slides.

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Trigonometry · Chapter 3 · Lesson 3

Graphing Tangent

A graph with holes in it.

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Integrated Math 1 · Chapter 2 · Lesson 2

Forms of a Linear Equation

Three ways to write the same line.

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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 3 · Chapter 1 · Lesson 1

Polynomial Behavior

Degree and leading coefficient decide the ends.

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Integrated Math 3 · Chapter 2 · Lesson 1

Rational Functions and Asymptotes

Where a function is undefined.

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Integrated Math 3 · Chapter 5 · Lesson 2

Graphing Sinusoidal Functions

Amplitude, period, midline and shift.

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Integrated Math 3 · Chapter 8 · Lesson 3

Piecewise Models and Systems

When one rule does not cover everything.

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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 6 · Lesson 1

Critical Points and the Second Derivative Test

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

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Multivariable Calculus · Chapter 6 · Lesson 2

Lagrange Multipliers

Optimising when you are not free to go anywhere.

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Multivariable Calculus · Chapter 6 · Lesson 3

Applied Optimization

Turning a real situation into a surface to climb.

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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 3 · Lesson 3

Autonomous Equations and the Phase Line

When the rate depends only on the state.

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Differential Equations · Chapter 8 · Lesson 2

Step Functions and Impulses

Switches that flip and forces that strike.

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