Curated OER
Worksheet 23 - Directional Derivative
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
Curated OER
Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Chapman University
Derivative of sin x
Direct and to the point (the slope at a point that is) describes this one-page proof of the derivative of the sin(x). The definition of a derivative using a limit is the first step in this sequential, algebraic, explanation of how the...
West Contra Costa Unified School District
Derivation of the Quadratic Formula
What connection does the quadratic formula have with a quadratic equation? Using a matching activity, pupils construct the algebraic derivation of the quadratic formula in this Algebra II lesson task. The task provides two variations of...
Curated OER
Worksheet 20 - Derivatives
For this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
Curated OER
Worksheet 22 - Functions
In this function worksheet, students use functions to identify an electron traveling along a path. They examine the velocity vector and compute the directional derivative. This two-page worksheet contains six multi-step problems.
Curated OER
Practice Test: Derivatives
In this derivatives learning exercise, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page learning exercise contains 6 multi-step...
EngageNY
Positive and Negative Numbers on the Number Line—Opposite Direction and Value
Make your own number line ... using a compass. The first installment of a 21-part series has scholars investigate positive and negative integers on a number line by using a compass to construct points that are the same distance from zero...
Curated OER
T Points from Directions
Here is a lesson that starts with having geometers translate points using compass directions into an accurate picture of the problem. Then they must use their knowledge of the Pythagorean theorem or similar triangles to solve. This makes...
Curated OER
Partial Derivatives for a Function of Two Variables
In this partial derivatives activity, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
Curated OER
Derivatives of Elementary Functions
For this derivatives worksheet, students sketch the graphs of four functions. They write the derivatives of eight functions. Students complete two derivative tables.
Curated OER
Calculus Worksheet: Derivatives of Stepwise Functions (1)
In this derivatives worksheet, students determine if the derivative of the given function exists. If the student determines this is yes, they are directed to find the value. There is one function on this worksheet.
Curated OER
Bingo: Derivatives, Power Rule, Product Rule, Quotient Rule
In this derivatives worksheet, students find the derivative of 25 problems. Students use the power, product, and quotient rule to find the derivative of various functions.
Curated OER
Applications of Derivatives: Optimization
In this optimization instructional activity, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
Houston Area Calculus Teachers
Cubic Polynomial
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
Curated OER
Calculus Games
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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 worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
AP Calculus Practice Exam 2008
In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Curated OER
Derivatives Of Logarithms
Students investigate the derivatives of logarithms. They use the example problems in the lesson to help them take derivatives of logarithms to any base. The lesson includes detailed examples for the teacher to use during direct instruction.
Flipped Math
Calculus AB/BC - L'Hopital's Rule
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
EngageNY
Directed Line Segments and Vectors
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...