PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
EngageNY
Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
MENSA Education & Research Foundation
Pi Day Fun!
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
Curated OER
The Chain Rule
Students determine the derivative of a function. In this determining the derivative of a function lesson, students use the chain rule to find the derivative of the function. Students use the chain rule to take the derivative...
Curated OER
Math 155 Review Worksheet for Exam 1
In this college level calculus worksheet, students evaluate the given limits or show that the limit does not exist. Students determine the derivative of the given functions. The two page worksheet contains twenty-six...
Curated OER
Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
Curated OER
Math 155 Review Worksheet 5
In this college level Calculus learning exercise, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference. The two page learning exercise contains...
Curated OER
Math 155 Worksheet 4
In this derivatives learning exercise, students solve 6 short answer problems. The first three problems, ask students to use a given definition of a derivative to solve the problems. The final three problems ask students use the basic...
Curated OER
Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the...
Curated OER
Multivariable Optimization
In this multivariable optimization worksheet, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...
Curated OER
Multivariable Calculus: Quiz 6
In this multivariable chain rule learning exercise, students find the derivative of four multivariable functions. They make the change of variables when given the functions.
Curated OER
Powers of Trig Functions
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
Curated OER
Properties of Curves
In this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. ...
Curated OER
L'Hopital's Rule
Students solve limit problems. In this solving limit problems lesson plan, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is...
Curated OER
Complex Analysis: Cauchy-Reimann Equations
For this Cauchy-Riemann equation worksheet, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page worksheet contains seven problems.
Curated OER
Lesson #63 Review for Test on Chapter 4
Students explore functions. In this derivatives lesson students complete an attached worksheet. A formula sheet for derivatives is included. This lesson is designed as a review for the derivatives test.
Curated OER
Quotient Rule
Young scholars differentiate functions. In this differentiating functions lesson, students use the quotient rule to differentiate functions. Young scholars use the quotient rule to differentiate rational functions such as a...
Curated OER
Distance, Velocity, and Acceleration
Young scholars engage in a lesson that is concerned with the measurement of distance, velocity, and acceleration with the use of derivatives. They follow examples given in the lesson to compute the velocity and acceleration for a...
Curated OER
Compund Interest and Quiz on Logs
Students discuss compound interest and formulas for compound interest. They listen as the teacher describes continuous compounding and derivations. Students work problems involving compound interest. They compute the effective annual...
Curated OER
Inverse Trig Functions: Chain Rule
In this trigonometric functions activity, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
Curated OER
The Little Prince and his Pendulum
For this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
Curated OER
Multivariable Calculus: The Gradient
In this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
Curated OER
Range of Trigonometric Functions
In this trigonometry worksheet, students find the range of each trigonometric function using the derivative. There are 3 questions with an answer key.