Corbett Maths
Instantaneous Rates of Change
Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...
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Taylor's Theorem and Error in Tangent Line Approximations
In this tangent line approximation worksheet, students answer two essay questions about the approximation error when related to a function. They answer three short answer problems. Students graph one function and its tangent line.
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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Center of Mass, Tangent Line Error Bound
In this center of mass worksheet, students determine the center of mass of an isosceles triangle. They examine functions and determine the tangent error bound. This one-page worksheet contains 5 problems.
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Higher Order Taylor Polynomials
In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Differentiability and Linear Approximation
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.
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Differentiability and Linear Approximation
In this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
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Three Calculus Overview Problems
In this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
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Implicit Differentiation
In this implicit differentiation instructional activity, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page...
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Geometry Course Review
For this geometry review set of worksheet, 10th graders solve and complete 139 various types of problems. First, they find the slope-intercept form of a line passing through a point and parallel to a line given. Then, students find the...
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Limits and Trigonometric Equations.
In this calculus instructional activity, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions.
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Math 155 - Fall 2005 Differentiation
In this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.
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Taylor's Theorem
In this Taylor's Theorem learning exercise, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They...
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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The Definition Derivative
In this derivative learning exercise, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page learning exercise contains eight...
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Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Calculus Test
For this calculus worksheet, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics. The one page worksheet contains twenty-eight multiple choice questions. ...
![Houghton Mifflin: Math Graphs: Equation of a Tangent Line 1 [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Houghton Mifflin: Math Graphs: Equation of a Tangent Line 1 [Pdf] Unknown Type")
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 1 [Pdf]
The example has students determine the equation of the tangent line to the graph at the given point. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 2 [Pdf]
Learners determine the equation of the tangent line to the graph at the given point. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 3 [Pdf]
The resource practices computing the equation of the tangent line to the graph at the given point. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 4 [Pdf]
Students compute the equation of the tangent line to the graph at the given point. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 5 [Pdf]
The resource has learners calculate the equation of the tangent line to the graph at the given point. The example is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 6 [Pdf]
Students calculate the equation of the tangent line to the graph at the given point. The practice problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Equation of a Tangent Line 7 [Pdf]
The example analyzes the equation of the tangent line to the graph at the given point. The practice problem is available in PDF format.