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Worksheet
Curated OER

Introduction to Substitution

For Students 11th - Higher Ed
in this math activity, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Worksheet
Curated OER

Challenge Discussion Sheet 4

For Students Higher Ed
in this derivative activity, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a function as...
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Interactive
Curated OER

Review of Calculus BC I

For Students 10th - 12th
In this review worksheet, students match a function to the proper description.  they identify the domain of a function.  Students determine the slope of an inverse function.  They find the derivative of given...
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Worksheet
Curated OER

Challenge Discussion Sheet 5

For Students Higher Ed
In this math worksheet, students solve for the derivative of seven functions. For three derivatives, students set up a sign chart. They solve three word (or story) problems dealing with falling items.
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Worksheet
Curated OER

A Plethora of Derivatives

For Students Higher Ed
In this derivative worksheet, students fill in tables to identify the value of given functions. They write and utilize the addition rule, chain rule, multiple rule, product rule, quotient rule and power rule to solve functions. This...
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Worksheet
Curated OER

Understanding the Fundamental Theorem of Calculus

For Students Higher Ed
In this Fundamental Theorem of Calculus activity, students demonstrate their understanding of the theorem by identifying the derivative and anti-derivative of given functions. This two-page activity contains ten problems.
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Worksheet
Curated OER

Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
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Lesson Plan
Curated OER

Parametric Equations

For Teachers 9th - 12th
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson for direct...
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Worksheet
Curated OER

Applications of Taylor Polynomials

For Students 11th - Higher Ed
In this math worksheet, students investigate the applications of using Taylor Polynomials. Then they use the derivative definition of a Taylor Series to compute the popular functions.
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Worksheet
Curated OER

Worksheet 9

For Students Higher Ed
In this integration worksheet, students solve 30 short answer (computation) problems. They find the area of regions enclosed by graphs of given functions for one problem. Students solve five short answer problems using derivatives. They...
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Worksheet
Curated OER

Instantaneous Velocity

For Students 12th - Higher Ed
In this velocity activity, students determine the average and instantaneous velocity. They compute the derivative of given functions. This one-page activity contains seven multi-step problems.
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Lesson Plan
Curated OER

Lesson #55 Test on Logarithms and Exponentials

For Teachers 12th
Twelfth graders assess their knowledge of logarithmic and exponential functions.  In this calculus lesson, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions.  Students apply the...
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Worksheet
Curated OER

Discussion Sheet 4: Limits & Differentiation

For Students Higher Ed
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
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Lesson Plan
Curated OER

Derivatives of Exponential Functions

For Teachers 10th - 12th
Students listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Students listen as...
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Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
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Worksheet
Curated OER

Why Are Hot Things Red?

For Students 11th - Higher Ed
In this radiation and temperature instructional activity, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its...
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Lesson Plan
Curated OER

Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Worksheet
Curated OER

Euler's Method

For Students 12th - Higher Ed
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
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Worksheet
Curated OER

Calc 3 Review Problems - Function

For Students 12th - Higher Ed
For this integral worksheet, students evaluate integrals, integrate functions, find directional derivative of a function, identify the maximum and minimum values of a function, and compute Cartesian coordinates. This two-page worksheet...
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Lesson Plan
Curated OER

Limits of Trigonometric Functions

For Teachers 11th - 12th
Students define limits as it related to trig functions. In this trigonometry activity, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Lesson Plan
Curated OER

Test on Limits and Continuity

For Teachers 11th - 12th
Learners review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.    
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Worksheet
Curated OER

The Second Derivative Test for Relative Extrema in Three Dimensional Space

For Students 11th - Higher Ed
In this math learning exercise, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
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Worksheet
Curated OER

Trigonometric Functions

For Students 9th - 12th Standards
Here is a worksheet that includes three short trigonometry problems. Learners must use trigonometric definitions and identities to solve. Use this resource to review trigonometry, or as an assessment.
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Worksheet
Curated OER

Logarithmic Forms

For Students 11th - Higher Ed
There are 10 different problems related to particular logarithmic forms for learners to solve. They express each exponential form equation given in logarithmic form and write out the opposite of each form as illustrated.