Curated OER
Preparation of Crystalline Derivatives of Aldehydes and Ketones
Chemistry explorers prepare a crystalline derivative and find its melting point. Once they discover the melting point, they are able to identify whether or not the substance is pure, and whether it is an aldehyde or ketone. This is an...
Kenan Fellows
Man vs. Beast: Approximating Derivatives using Human and Animal Movement
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Curated OER
Elementary Derivatives and Rules of Differentiation
In this derivative worksheet, students use the definition of limits and derivatives to find formulas with given conditions. They find derivatives of given equations. This four-page worksheet contains approximately ten problems, with...
Curated OER
Computing Derivatives
In this computing derivatives worksheet, students determine the derivative, slope, and rate of change in a function. They indicate if a function is constant, increasing, or decreasing. This two-page worksheet contains approximately ten...
Curated OER
Definition of the Derivative
Students find the derivatives of functions. In this finding the derivatives of functions activity, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the derivative does...
Curated OER
The Derivative As a Function
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
Curated OER
BC Series 1 - Derivatives
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
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
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
Logistic Growth
Through the exploration of population growth of a bacteria population, young scholars learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
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
Trig Derivatives, etc.
For this trigonometric worksheet, learners differentiate functions and find the antiderivative of functions. This two-page worksheet contains approximately 20 problems.
Curated OER
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
Curated OER
Introduction to Differentiation
In this introduction to differentiation worksheet, learners solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the...
Curated OER
Graph Of The Derivative
Students engage in a lesson plan that is concerned with defining and drawing the graph of a derivative. The lesson plan includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples...
Curated OER
Trig Derivatives
In this trigonometric derivative worksheet, students analyze the function and identify the derivative. This one-page worksheet contains approximately 20 problems.
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
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...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
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.
Curated OER
AP Calculus Practice Exam
In this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...
Curated OER
Implicit Differentiation
In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
Curated OER
Differentiability and Linear Approximation
In this linear approximation activity, 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 activity contains four problems.