Kenan Fellows
Using Motion Sensors to Explore Graph Sketching
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
Curated OER
Derivatives
Students define and review derivatives rules. In this calculus lesson, students watch a movie on derivatives, solve examples with the teacher and review the important concepts that make solving a derivative work. They write a summary of...
Curated OER
Review for Test on Derivatives.
Students review derivatives and equations for their test. In this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They...
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
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
Worksheet 13 - Implicit Differentiation
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
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
Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
Curated OER
Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
Curated OER
Product Rule
Students investigate the Product Rule for Derivatives and apply it to a variety of different types of problems. They think critically while using the rule and follow the examples included in the lesson to help find the solutions to...
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the velocity...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
Curated OER
Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
Curated OER
An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus instructional activity, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the instructional activity, students investigate...
Curated OER
The Calculus Whiz Who Loved Candy
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
Curated OER
Applied Fundamental Theorem of Calculus
Students apply the Fundamental Theorem of Calculus. In this calculus lesson, students identify the graphical connections between functions and accumulation functions. They use a TI to represent the functions.
Curated OER
Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. In this calculus lesson, 12th graders explore the procedure for taking the derivative of logarithms to any base.
Curated OER
Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
Curated OER
Surfing the Waves
Learners use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
Curated OER
River Optimization Problem
Young scholars define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus activity. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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.
West Contra Costa Unified School District
Law of Sines
One must obey the sine laws. A lesson plan introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson plan checks to see if the Law of...