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Worksheet
Curated OER

The Geometric Interpretation of Partial Derivatives

For Students Higher Ed
In this partial derivative worksheet, students compute partial derivatives at a given point. They measure the slope tangent to the surface at the point. This one-page worksheet contains two multi-step problems.
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Worksheet
Curated OER

Conics

For Students 11th
In this conic sections worksheet, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to standard...
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Worksheet
Curated OER

Circles

For Students 10th
In this circles worksheet, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the measure of each...
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Worksheet
Curated OER

Mini Examination #2 - Limits and Derivatives

For Students 11th - 12th
In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions.  Students find the limits and derivatives of functions.
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Lesson Plan
Curated OER

Rates Of Change

For Teachers 9th - 12th
High schoolers investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at...
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Worksheet
Curated OER

The Derivative

For Students Higher Ed
In this derivative learning exercise, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page learning exercise contains definitions, examples and...
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Assessment
EngageNY

Geometry Module 5: End-of-Module Assessment

For Teachers 9th - 12th Standards
The lessons are complete. Learners take an end-of-module assessment in the last installment of a 23-part module. Questions contain multiple parts, each assessing different aspects of the module.
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AP Test Prep
College Board

2005 AP® Calculus AB Free-Response Questions Form B

For Students 10th - 12th
Grab a peak inside the test. The 2005 free-response questions from the AP® Calculus exam allow learners to see how topics appear on the tests. Topics cover differential equations, bounded areas, particle motion, and slopes of tangent lines.
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Worksheet
Curated OER

Intro to Derivatives

For Students 11th - 12th
In this calculus worksheet, students find the line tangent to a curve using the derivative. They graph the slope and identify the line of tangency. There are 6 questions.
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Lesson Plan
Curated OER

Differentiation

For Teachers 9th - 12th Standards
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems. 
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Lesson Plan
Curated OER

Lines in the Plane

For Teachers 9th - 11th
Learners differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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Lesson Plan
Curated OER

Two Investigations of Cubic Functions

For Teachers 9th - 12th Standards
Through learning about cubic functions, learners graph cubic functions on their calculator.  Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function.  Learners...
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Worksheet
Curated OER

Limits and Trigonometric Equations.

For Students 10th - 12th
In this calculus worksheet, 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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Lesson Plan
Texas Instruments

Mean Value Theorem

For Teachers 9th - 12th Standards
Students calculate the slopes of secant lines. In this calculus lesson plan, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Lesson Plan
Curated OER

MVT for Derivatives

For Teachers 9th - 12th Standards
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C1

For Students 9th - 12th
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
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Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C2

For Students 9th - 12th
Scholars apply knowledge learned over their high school math courses in order to determine their college readiness. The 20-page resource emphasizes applied problem solving.
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Worksheet
Curated OER

Epidemic or False Alert?

For Students Higher Ed
In this rate worksheet, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page worksheet contains...
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Worksheet
Curated OER

Differentiability and Linear Approximation

For Students Higher Ed
In this linear approximation instructional activity, 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 instructional activity...
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Worksheet
Curated OER

Worksheet 24 - Fall 1995

For Students 11th - Higher Ed
In this math activity, students find an equation of a curve such that the slope at the point (x, y) on the curve is 3x2 +2 and (−1, 1) is a point on the curve.
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Worksheet
Curated OER

Pike's Peak Problem

For Students 7th - 12th
In this algebra worksheet, students answer a word problem about a distance-rate multiplied by times problem. They discuss slope and altitude. There is an answer key with this problem.
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Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 11th - 12th
Students implicitly differentiate functions .  In this implicitly differentiating functions lesson, students take the derivative of functions that cannot be solved for a variable.  Students find the derivative of an equation for a...
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Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
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Lesson Plan
West Contra Costa Unified School District

Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...