College Board
2017 AP® Calculus BC Free-Response Questions
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and...
College Board
2018 AP® Calculus AB Free-Response Questions
Pupils interact with six released questions from the 2018 AP Calculus AB exam. Teachers use the additional materials to determine where the class is in terms of readiness for the exam to help provide additional instruction as needed.
College Board
2018 AP® Calculus BC Free-Response Questions
Don't just rely on the textbook. Released items from the AP Calculus BC provide pupils and teachers insight on how topics appear on the exam. The six items are divided into calculator and non-calculator sets with half of them also...
College Board
2017 AP® Calculus AB Free-Response Questions
What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Curated OER
Introduction to Calculus
Twelfth graders discuss attitude necessary to be successful in calculus. In this calculus instructional activity, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom....
Curated OER
Reductions of Order
In this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.
Curated OER
Basic Calculus II: Fundamental Theorem of Calculus
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
Curated OER
Applications of First and Second Derivatives.
In this calculus learning exercise, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
Curated OER
Lab 5: Inverse Functions and Calculus
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
Curated OER
Tangent Properties
In this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.
Curated OER
Integrals with Secant Powers of Secant Tangent
Twelfth graders integrate trig functions with even powers. In this calculus lesson, 12th graders apply their knowledge of trig functions to help them integrate tangents and secants containing even exponents. They integrate the integrals...
Curated OER
Derivatives
In this calculus instructional activity, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
Curated OER
Related Rates
Twelfth graders rewrite word problems using equations. In this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
Curated OER
Precalculus, Droodle Review Sheet
In this pre-calculus worksheet, students solve 20 problems in order to determine the "Droodle." Each correct answer the students achieve will be associated with a letter, that letter will be used to uncover the identity of a strange...
Curated OER
Trig Cheat Sheet
Your pre-calculus learners will make use of this wonderful cheat sheet that summarizes all things trigonometric. Definitions based on both the unit circle and the right triangle are included, as well as many convenient trigonometric...
College Board
Reasoning from Tabular Data
Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...
Curated OER
Discussion Sheet 4
In this math learning exercise, students read each word problem and then use the rules of geometry or calculus to find the solutions in groups.
Curated OER
The Fundamental Theorem and IVP's
In this math learning exercise, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
Curated OER
Exploring Functions and Their Derivatives
Learners explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
Curated OER
Worksheet 25- Spring 1996
In this math instructional activity, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
Curated OER
Worksheet 22
For this math worksheet, students apply the following: In physics, the equation W=Fd gives the amount W of energy expended in moving a distance d by applying a constant force F.
Curated OER
Discussion Sheet 5
In this math activity, students practice using the rules of calculus to apply them in finding the solutions for the word problems.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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