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
Investigation the Derivatives of Some Common Functions
Students investigate the derivative of a function. For 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 function...
Curated OER
The Derivative as a Limit
Students investigate derivatives. In this calculus lesson, students investigate the derivative as a limit through the use of the TI-89.
Curated OER
Coal Derivatives by Destructive Distillation
Chemists use the destructive distillation technique to produce three derivatives from a sample of bituminous coal. You will find background information, a materials list, procedures, and sample follow-up questions that you can use in...
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.
Curated OER
Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Seeing is Believing: Derivatives
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
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
Higher Order Derivatives
Learn how to solve problems by taking the derivative. Then, through examination of higher order derivatives using the CAS computer program, students create a visual of what is happening with the equation.
Curated OER
Derivative Analysis
Students 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
MVT for Derivatives
Young scholars find the derivative using the mean value theorem in this calculus lesson plan. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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
Exploring Functions and Their Derivatives
Students explore and derive functions. For this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
Curated OER
Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with the...
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus instructional 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
Logistic Growth
Through the exploration of population growth of a bacteria population, students learn about and observe bacteria population over a 20 hour period. Students graph the population growth using a scatter plot and discuss its logistic...
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 the Trig Functions
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
Curated OER
Derivatives of the 6 Inverse Trig Functions
Student list the 6 trig functions and identify their inverse functions. In this trigonometry instructional activity, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through...
Curated OER
Coal Derivatives
Students use this hands-on activity to demonstrate the production of coke, one of the most widely used raw materials derived from coal. They are also stimulated to do research into the differences in coal types and coal products.
Curated OER
Implicit Differentiation
Pupils explore the concept of derivatives. They use implicit differentiation to determine points on a graph where a tangent line is horizontal, vertical, or oblique. Finally, learners find the derivative of a polynomial by...
Curated OER
Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
Curated OER
Derivatives
Students define and review derivatives rules. In this calculus lesson plan, 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...
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...
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