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Worksheet
Curated OER

Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, 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 worksheet contains...
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Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 11th - 12th
Students define and use implicit differentiation to solve equations. In this calculus lesson plan, students take the derivative implicitly to find x and y values. They apply this knowledge to real life scenarios.
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Lesson Plan
Curated OER

Exploring Derivatives Using Lists

For Teachers 9th - 12th Standards
Learners explore lists and determine the derivative for that list. They use regressions to discover equations. 
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Lesson Plan
Curated OER

Introduction to Slope Fields

For Teachers 11th - 12th
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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Lesson Plan
Curated OER

Euler's Method

For Teachers 9th - 12th Standards
Learners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.
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Worksheet
Curated OER

Worksheet on Power Series

For Students Higher Ed
In this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
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Lesson Plan
Curated OER

Slope Field Solutions

For Teachers 12th - Higher Ed
In this slope field worksheet, students draw possible solution curves to a differential equation. Three problems are provided on this on-page worksheet.
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Lesson Plan
Curated OER

Slope Fields

For Teachers Higher Ed
In this slope field worksheet, students match the slope field to its correct differential equation. This one-page worksheet contains six problems.
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Worksheet
Curated OER

Complex Analysis: Analyticity and Harmonic Functions

For Students Higher Ed
In this harmonic function worksheet, students summarize the theorems on analyticity, differentiability and the Cauch-Rieman equation. They identify the characteristics of a harmonic function. This three-page worksheet contains...
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Lesson Plan
Curated OER

Roller Coaster Robot

For Teachers 10th - 12th
Students calculate the area under a curve. In this calculus lesson, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Worksheet
Curated OER

Maximum/ Minimum Problems

For Students 11th - 12th
In this optimization worksheet, students solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.
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Lesson Plan
Curated OER

Zeros of a Cubic

For Teachers 9th - 12th Standards
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function.  The lesson plan also contains an application of differentiation. 
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Worksheet
Curated OER

Higher Order Taylor Polynomials

For Students Higher Ed
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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Worksheet
Curated OER

A.P. Calculus Exam Prep

For Students 11th - Higher Ed
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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Worksheet
Curated OER

Basic Calculus II: Techniques of Integration

For Students Higher Ed
For this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
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Worksheet
Curated OER

Multivariable Calculus: Conservative Vector Fields

For Students Higher Ed
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
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Worksheet
Curated OER

Solutions of Initial Value Problems

For Students Higher Ed
In this initial value learning exercise, students explore the best methods to solve rate problems. Students differentiate functions to check the initial value of problems. This two-page learning exercise contains approximately ten...
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eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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Worksheet
Curated OER

Calculus Worksheet

For Students 12th - Higher Ed
In this calculus instructional activity, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then,...
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App
Texas Instruments

TI-Nspire™ CAS

For Students 8th - Higher Ed Standards
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
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App
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Texas Instruments

TI-Nspire™

For Students 6th - Higher Ed Standards
We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can...
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Lesson Plan
Curated OER

Worksheet 17-Fall 1995

For Teachers Higher Ed
In this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
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Worksheet
Curated OER

Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
In this symmetric matrices worksheet, students explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Lesson Plan
Curated OER

Wind, Pressure, Force, Calculus and Engineering Connections

For Teachers 12th
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.

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