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AP Calculus Test Chapter 7

For Students 12th
In this calculus activity, 12th graders determine the areas bounded by curves and the volume of the solids of revolution. The two page activity contains a combination of ten multiple choice and free response questions and is to be used...
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Nine Definite Integrals and Fundamental Theorem Of Calculus Problems

For Students 11th - Higher Ed
In this definite integral worksheet, student find the value of five definite integrals.  Student then explain why a definite integral inequality holds true.  Finally, students are given the graph of a functions and asked to...
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AP Calculus Practice Exam

For Students 11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Ap Calculus First Semester Exam

For Students 12th
In this algebra worksheet, 12th graders assess their knowledge on logs, functions and derivatives. There are 40 questions on this exam.
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Calculus Games

For Students 11th - 12th
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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AP Calculus Practice Exam 2008

For Students 11th - 12th
In this calculus practice exam learning exercise, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
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Pre-calculus Unit 3 Test 2

For Students 10th - 12th
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
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Calculus Assignment #5: Integrals

For Students 11th - 12th
In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.
AP Test Prep
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Calculus AB/BC - Unit 2 Review: Differentiation

For Students 10th - 12th
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
AP Test Prep
1
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Calculus AB/BC Mid-Unit 1 Review: Limits

For Students 10th - 12th
Limit the amount one forgets about limits. A mid-unit review lesson has individuals complete a worksheet of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find limits, and...
AP Test Prep
1
1
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Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
AP Test Prep
1
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Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
AP Test Prep
1
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Flipped Math

Calculus AB/BC Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.
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Disc/Washer Method

For Teachers 8th - 10th
Students calculate the volume of solids. For this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create...
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Integration by Substitution

For Teachers 11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus students?  Here is a activity that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...
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The Integration of Exponential Functions

For Students 11th - 12th
In this calculus worksheet, students solve problems using integration. They solve exponential functions using differentiation formulas. There are 12 problems with an answer key.
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Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
For this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
AP Test Prep18:38
1
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Calculus AB/BC - Average and Instantaneous Rate of Change

For Students 10th - 12th
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
AP Test Prep18:18
1
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Flipped Math

Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

For Students 10th - 12th
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
AP Test Prep9:15
1
1
Flipped Math

Calculus AB/BC - Estimating Derivatives of a Function at a Point

For Students 10th - 12th
It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...
AP Test Prep8:02
1
1
Flipped Math

Calculus AB/BC - Connecting Differentiability and Continuity

For Students 10th - 12th
Despite what you thought, you can differentiate between continuity and differentiability. Using a short lesson, pupils learn how differentiability and continuity relate to each other. It provides three descriptions of when a function is...
AP Test Prep10:10
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Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

For Students 10th - 12th
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
AP Test Prep15:40
1
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Flipped Math

Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and ​Constant Multiple

For Students 10th - 12th
Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...
AP Test Prep12:39
1
1
Flipped Math

Calculus AB/BC - The Power Rule

For Students 10th - 12th
There has to be a quicker way. Pupils learn the power rule that allows for a shortcut to take the derivative of terms to a power. Using the newly found rule, scholars find the slope of the tangent line to a function at a given x value....

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