Curated OER
Applications of Derivatives: Concavity and Optimization
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
Curated OER
A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
Curated OER
Math 155 - Worksheet 5. Derivative
In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
Curated OER
Derivative
In this derivative worksheet, students determine the derivative and then find the value at a specified point for a given function. There are 3 questions.
Curated OER
Worksheet 25 - Chain Rule
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
Curated OER
Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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
Exploring Functions and Their Derivatives
Students 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
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
Curated OER
Gravitational Acceleration
Students investigate the interdependence of mass and gravitational acceleration using computer simulation. In this physics lesson, students derive the formula for acceleration due to gravity. They calculate air resistance on falling...
Curated OER
The Chain Rule
In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
Curated OER
AP Calculus Practice Exam 2008
In this calculus practice exam activity, learners solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
Curated OER
Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule
In this calculus worksheet, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph...
Curated OER
Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
Curated OER
Worksheet 12: Functions
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
Curated OER
Motion of a Bouncing Ball
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
Curated OER
A.P. Calculus - First Semester Esxamination
In this calculus exam instructional activity, students solve 40 multiple choice and short answer questions. Students find normal lines, derivatives of functions, evaluate functions at points, etc.
Curated OER
The Second Derivative Test for Relative Extrema in Three Dimensional Space
In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!