Worksheet
Curated OER

The Chain Rule and an Interesting Derivative

For Students 11th - 12th
In this calculus instructional activity, students use the chain rule to derive functions. They use function notations correctly as they solve word problems using the derivative. There are 3 questions.
Interactive
CK-12 Foundation

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
AP Test Prep
College Board

Approximation

For Teachers 10th - 12th
Sometimes close enough is appropriate. A curriculum document for AP® Calculus examines the importance of providing approximation questions throughout the course. It looks at approximating derivative values, approximating definite...
Lesson Plan
Project Maths

Integral Calculus

For Teachers 10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Worksheet
Curated OER

Guess My Number

For Students 9th - 11th
In this calculus learning exercise, students solve word problems using algebra. Students solve derivatives to attain clues needed to solve a given quandary. There are 10 questions with an answer key.
Lesson Plan
Curated OER

Return Intervals & Reasoning from Tabular Data

For Teachers 11th - 12th
Young scholars calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
Worksheet
Curated OER

Calculus Review

For Students 11th - 12th
In 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.
Worksheet
Curated OER

Derivative Formulas

For Students 10th - 12th
In this derivative formulas worksheet, students solve derivative problems. They use derivative formulas to solve problems. This one page worksheet contains twenty-eight multi-step problems.
AP Test Prep
College Board

2006 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Develop more than just a topical approach to the exam. The six free-response questions from 2006 reveal how the AP exam assesses topics. By using the questions, pupils practice topics such as velocity, sketch slope fields, solving...
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 Prep
College Board

2007 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Provide a review for the exam so individuals don't tank. AP® provides the free-response questions for teachers to use to help their pupils prepare for the exam. The six BC questions from 2007 include regions bounded by functions, water...
Worksheet
Curated OER

AP Calculus Practice Exam

For Students 12th - Higher Ed
In this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
Lesson Plan
Curated OER

Derivatives of the Trig Functions

For Teachers 12th
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
Lesson Plan
Curated OER

The Fundamental Theorem of Calculus and Properties of the Definite Integral

For Teachers 11th - Higher Ed
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...
Lesson Plan
Curated OER

Derivatives of the 6 Inverse Trig Functions

For Teachers 11th - 12th
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...
Worksheet
Curated OER

Mini Exam on Calculus

For Students 11th - 12th
In this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
Worksheet
Curated OER

Too gross! Addition Tricks with Derivatives

For Students 11th - 12th
In this calculus worksheet, students evaluate derivatives by playing a game. They pick 4 different derivatives to evaluate and find the sum of the solved derivates to find a number that is gross. There are 12 questions to choose from.
Worksheet
Curated OER

Calculus Practice Exam

For Students 11th - 12th
In this calculus activity, students practice solving problems that will be on their calculus exam. They evaluate, take the derivative and find the slope of a tangent line. There are 28 questions.
Worksheet
Curated OER

Finding the Derivative

For Students 11th
In this calculus worksheet, 11th graders solve functions and rational expressions using the 1st and 2nd derivatives. They calculate the rate of change of an area using the derivative. There are 4 questions.
Worksheet
Curated OER

Calculus Practice BC

For Students 12th - Higher Ed
In this calculus worksheet, learners solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
Worksheet
Curated OER

AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
Worksheet
Curated OER

Substitution Method

For Students 11th - 12th
In this calculus activity, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.
Worksheet
Curated OER

AP Calculus

For Students 11th - 12th
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
Worksheet
Curated OER

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.