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West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson plan stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The instructional activity begins with looking at limits of simple linear and rational functions, and leads to the...
Curated OER
Worksheet 7 - Derivative
In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.
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...
Curated OER
Derivative Analysis
Young scholars analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
Curated OER
Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a...
Curated OER
Seeing is Believing: Derivatives
Learn to solve functions by taking the derivatives. In this calculus lesson plan, students compare the graph of a derivative to that of the original function.
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
Calculus Inverse Derivative
High schoolers solve equations using a given derivative. In this calculus activity, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Derivative Grapher
Learners graph the derivative of functions in this calculus lesson. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
Texas Instruments
Graphical Derivatives
Pupils solve functions using the derivative. They determine the derivative of a function based on its graph, then analyze different functions and draw a relationship and conclusion based on the graph.
Curated OER
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
Curated OER
Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, learners create a visual of what is happening with the equation.
Curated OER
AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
Curated OER
The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, young scholars solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
Curated OER
The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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...
Curated OER
Return Intervals & Reasoning from Tabular Data
Students calculate derivatives from a set of data. In this calculus instructional activity, students estimate the limit at infinity. They complete a Return Interval handout at the end of the instructional activity.
Curated OER
Derivatives of the Trig Functions
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus instructional activity, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
Curated OER
Derivatives of the 6 Inverse Trig Functions
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, young scholars derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...
Curated OER
Exploring Functions and Their Derivatives
Young scholars explore and derive functions. In this calculus instructional activity, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its...
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
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...