College Board
Approximation
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...
Curated OER
Calculus Practice Exam
In this calculus worksheet, learners 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.
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.
Flipped Math
Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation
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.
Flipped Math
Calculus AB/BC - Unit 7 Review: Differential Equations
Differentiate everyone's knowledge. Pupils work through nine review questions to highlight key concepts from Unit 7. Items range from finding slope fields and reasoning with them to finding general and particular solutions of...
Curated OER
Three Calculus Overview Problems
In this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
Curated OER
Inverse Functions
In this inverse functions worksheet, students solve and complete 3 sets of different problems. First, they find the expression and simplify. Then, students find the value of a given variable when it is the inverse in the function. They...
Curated OER
Lines in the Plane
Young scholars differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
Curated OER
Parametric Equations
In this calculus and analytic geometry learning exercise, students explore parametric equations, tangent lines and the loop of curves in six equations.
Curated OER
Calculus 30 - Typical Exam Questions
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.
College Board
2008 AP® Calculus AB Free-Response Questions
Get the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...
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...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
Flipped Math
Calculus AB/BC - Reasoning Using Slope Fields
Find a solution in the field. An informative video presentation shows pupils how to use the information from a slope field to sketch the graph of a particular solution to a differential equation. Individuals learn how to determine the...
Curated OER
Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
Curated OER
Arc and Angles Formed by Secants and Tangents
In this calculus instructional activity, students solve problems by finding the line of tangency and measure of the arcs and angles form by a secant line. There are 9 questions.
Curated OER
A.P. Calculus - First Semester Examination
In this calculus exam worksheet, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
Curated OER
Calculus Practice BC
In this calculus worksheet, students 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.
Curated OER
AP Calculus Practice Exam: BC Version - Part A
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Curated OER
AP Calculus Practice Exam
In this calculus learning exercise, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
CK-12 Foundation
Newton's Method
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
Curated OER
Differential Equations
In this differential equations worksheet, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the...