College Board
2006 AP® Calculus BC Free-Response Questions
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
College Board
2005 AP® Calculus BC Free-Response Questions
Differentiate between the exams. Using the Q&A document, teachers compare the free-response questions that BC test-takers see to those that AB test-takers see. The pupils see which questions come from AB content and also those that...
Flipped Math
Calculus AB/BC - The Chain Rule
Unshackle oneself from the burden of not understanding derivatives. The first of seven lessons in Unit 3 - Differentiation looks at the Chain Rule. By watching a video, scholars learn when to apply the rule and how to use it to determine...
Flipped Math
Calculus AB/BC - Implicit Differentiation
It's implied that implicit differentiation is important. Viewers of an engaging video learn the process of implicit differentiation. After watching several examples, they see how to apply implicit differentiation to find the vertical and...
Flipped Math
Calculus AB/BC - Differentiating Inverse Functions
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
Flipped Math
Calculus AB/BC - Differentiating Inverse Trigonometric Functions
Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...
Flipped Math
Calculus AB/BC - Selecting Procedures for Derivatives
Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...
Flipped Math
Calculus AB/BC - Calculating Higher-Order Derivatives
Derivatives are so fun that sometimes one wants to take the derivative multiple times. The sixth of seven installments in Unit 3 - Differentiation focuses on finding higher-order derivatives. After learning about the notation, scholars...
Flipped Math
Calculus AB/BC - Straight-Line Motion: Connecting Position, Velocity, and Acceleration
Move the video on motion to the front of the line. The second of eight lessons in Unit 4 - Contextual Applications looks at straight-line motion. Scholars learn how position, velocity, and acceleration are related by derivatives before...
Flipped Math
Calculus AB/BC - Solving Related Rates Problems
A solution to a lack of resources on related rates awaits. Viewers of an educational video learn how to solve related rates problems. They build on their prior experience of related rates to write equations for contextual situations,...
Flipped Math
Calculus AB/BC - Introduction to Related Rates
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Flipped Math
Calculus AB/BC - L'Hopital's Rule
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
Flipped Math
Calculus AB/BC - Sketching Slope Fields
Frolic through a field of slopes. Learners watch a video describing slope fields and how to create one. Scholars use given slope fields to determine the equation of a tangent line and the possible differential equation. Pupils continue...
Flipped Math
Calculus AB/BC - Verifying Solutions for Differential Equations
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
Curated OER
Calculus at the Battle of Trafalgar
Young scholars read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for...
Curated OER
Calculus Review
For this calculus worksheet, students review for their test. They review concepts of integrals, derivatives and solving word problems using calculus. There are 10 questions with an answer key.
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Curated OER
The Calculus Whiz Who Loved Candy
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
Curated OER
Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus instructional activity, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Curated OER
Twenty-Eight Multiple Choice No Calculator AP Calculus AB Problems
In this AP Calculus AB practice exam learning exercise, students solve twenty-eight various multiple choice calculus problems without using a calculator.
Curated OER
AP Calculus Practice Exam AB Version-Section1-Part 1
In this calculus practice exam, students select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.
Curated OER
A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam
In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
Curated OER
AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
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