Curated OER
Calc 1 Review Problems - Function
In this review of functions activity, students find the derivative of functions, evaluate limits, determine whether functions are invertible, identify critical points and find the equation of the tangent line to a function. This...
Curated OER
Worksheet 11: Derivative
In this derivative worksheet, students compute the relative maximum, relative minimum and inflection points of a function. They determine the derivative of a function and find the circumference of inscribed circles. This two-page...
Curated OER
Functions and Slopes
In this function worksheet, students find the slope of a line tangent to a given graph, they derive formulas for the area and perimeter of a given right triangle, they graph functions, and compute the derivative of functions. This...
Curated OER
One-to-One Functions; Inverses
For this functions worksheet, students determine whether or a function is one-to-one. If it is one-to-one, then they find the inverse.
Curated OER
Quiz 4: Derivative
In this derivative learning exercise, students determine the derivative of given functions. They find an equation of a line which is tangent to a given graph and identify an equation of a line which is perpendicular to the graph. This...
Curated OER
Practice Test for Midterm: Partial Derivatives
In this partial derivatives worksheet, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
Curated OER
Multivariable Calculus: Vector Functions
In this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.
Curated OER
Continuous Functions
In this continuous function instructional activity, learners determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page...
Curated OER
Review For Test: Logarithm And Exponential Functions
Students investigate different concepts during a review that relate to logarithms and exponential functions. They review the derivatives of logs and exponential functions with the help of the problems used in the lesson as examples.
Curated OER
Calculus Practice Test: Velocity, Functions
For this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
Curated OER
Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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.
Curated OER
Derivative Exam
In this college level calculus worksheet, students determine the derivatives of functions. The two page worksheet contains twenty-nine problems. Answers are not provided.
Curated OER
Intro to Derivatives
In this calculus instructional activity, students find the line tangent to a curve using the derivative. They graph the slope and identify the line of tangency. There are 6 questions.
Curated OER
Finding Derivatives of Twenty Trig Functions
In this derivatives activity, students take the derivative of fifty various trigonometric functions. These fifty problems vary in difficulty.
EngageNY
Waves, Sinusoids, and Identities
What is the net effect when two waves interfere with each other? The lesson plan answers this question by helping the class visualize waves through graphing. Pupils graph individual waves and determine the effect of the interference...
Flipped Math
Calculus AB/BC - The Product Rule
There's more to derivatives of multiplication than simply the product of the derivatives. A helpful video gives learners the product rule of finding the derivative of the product of two functions. Pupils find the derivatives of functions...
Curated OER
Applying Properties to Variables
Eighth graders combine like terms in this properties of variables lesson plan. Using named items (stars, moons and hearts), they combine like terms using variables. They use the distributive property to combine like terms. Finally, they...
College Board
2006 AP® Calculus AB Free-Response Questions
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...
College Board
2007 AP® Calculus BC Free-Response Questions
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...
Curated OER
Differentiability and Linear Approximation
In this linear approximation worksheet, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page worksheet contains four problems.