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Introduction to Substitution
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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Challenge Discussion Sheet 4
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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Review of Calculus BC I
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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Challenge Discussion Sheet 5
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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A Plethora of Derivatives
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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Understanding the Fundamental Theorem of Calculus
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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Multivariable Calculus: The Jacobian Matrix
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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Parametric Equations
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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Applications of Taylor Polynomials
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 9
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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Instantaneous Velocity
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 #55 Test on Logarithms and Exponentials
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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Discussion Sheet 4: Limits & Differentiation
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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Derivatives of Exponential Functions
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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Modeling a Context from a Verbal Description (part 1)
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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Why Are Hot Things Red?
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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Fundamental Theorem of Calculus
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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Euler's Method
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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Calc 3 Review Problems - Function
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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Limits of Trigonometric Functions
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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Test on Limits and Continuity
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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The Second Derivative Test for Relative Extrema in Three Dimensional Space
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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Trigonometric Functions
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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Logarithmic Forms
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.