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Tangent Line Approximation: Estimating Square Roots

Curated and Reviewed by Lesson Planet

This Tangent Line Approximation: Estimating Square Roots interactive also includes:

Finding the Linearization at a Point / Tangent Line Approximation
Student Reference
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Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value they want to estimate and evaluate the tangent line at that point. Learners discuss the limitations of the method.

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Concepts

tangent lines, point-slope form, slope, derivatives, differential calculus, square roots

Additional Tags

math

Instructional Ideas

Lead a discussion on how to find the equation of the tangent line at a point

Classroom Considerations

The class should know how to calculate the derivative at a point of the function
Users must sign up for a free CK-12 account before using the interactive

Pros

Provides the correct answer if users enter the wrong one
Contains additional examples in the supplemental material

Cons

None

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