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AP Test Prep
College Board

2015 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
How will the exam ask this question? The free-response questions from the 2015 AP Calculus BC exam demonstrate how questions appear on the test. Using the questions, pupils gain experience answering similar inquiries to what they see on...
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AP Test Prep
College Board

2013 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Apply the skills to problems to ace the AP test. Free-response questions require scholars to take calculus skills and apply them to situations. Pupils use the questions to see how those situations appear on an upcoming exam. Teacher use...
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AP Test Prep
College Board

2009 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
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Worksheet
Curated OER

A.P. Calculus - First Semester Examination

For Students 11th - 12th
In this calculus exam instructional activity, students solve 40 multiple choice and short answer problems.  Students find derivatives, second derivatives, normal lines, slopes, etc.
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Worksheet
Curated OER

Calculus Test

For Students 9th - 11th
In this calculus activity, learners take the derivative of functions, solve logarithmic equations and derive log formulas. There are 25 questions on this test.
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Worksheet
Curated OER

Derivative Formulas

For Students 9th - 11th
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
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Worksheet
Curated OER

AP Calculus Practice Exam: BC Version - Part A

For Students 11th - 12th
In this calculus activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Worksheet
Curated OER

Derivatives

For Students 9th - 12th
In this calculus worksheet, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
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Worksheet
Curated OER

Derivatives and Functions

For Students 11th - 12th
In this calculus instructional activity, students factor differential expressions and evaluate functions. They define whether two functions are equal. there are 7 questions.
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Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
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eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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AP Test Prep
College Board

AP Calculus: Slope Fields

For Teachers 10th - 12th
Ready to field questions about slope fields? An article on AP® Calculus teaching methods describes how to teach about slope fields to solve differential equations. It gives some sample problems to consider with the class and how to...
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Lesson Plan
Curated OER

Worksheet 7 - Derivative

For Teachers Higher Ed
In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.
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PPT
Curated OER

Calculus 10.1 - Parametric Functions

For Teachers 11th - 12th
Here is a high-level, interractive presentation on calculus for your high schoolers. Parametric equations, derivatives, functions, and the Pythagorean Theorem are all part of this fine PowerPoint. Additionally, two interesting...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 3 Review: Differentiation

For Students 10th - 12th
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
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AP Test Prep
1
1
Flipped Math

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...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change

For Students 10th - 12th
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...
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Interactive
CK-12 Foundation

Higher Order Derivatives—Acceleration and Jerk

For Students 11th - Higher Ed
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
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AP Test Prep
1
1
Flipped Math

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...
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Lesson Plan
Kenan Fellows

Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
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Worksheet
Curated OER

Four Calculus Derivative, Extrema, and Maximize Area Problems

For Students 11th - Higher Ed
In this calculus review activity, students find derivatives, calculate extrema on an interval, and maximize area. Students should be familiar with the derivatives of trigonometric functions.
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.