Curated OER
Exploring Derivatives Using Lists
Learners explore lists and determine the derivative for that list. They use regressions to discover equations.
Shodor Education Foundation
Derivate
Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.
Curated OER
Exploring Functions and Their Derivatives
Students explore and derive functions. In 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
Interpreting Functions
Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...
Curated OER
Derivative Grapher
Learners graph the derivative of functions in this calculus lesson plan. 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
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.
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
Derivative Analysis
Students analyze the derivative of a graph. In this calculus lesson plan, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
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, young scholars create a visual of what is happening with the equation.
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
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
An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle, graphing in...
Curated OER
Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
Concord Consortium
Cultural Growth
Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.
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 lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through substitution.
Curated OER
Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Curated OER
Trigonometric Functions of Acute Right Triangles
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
Curated OER
Does Your Field Measure Up
Learners measure angles using a plane table kit. In this geometry lesson, students use trigonometric identities to find the values of the length of a football field.
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...
Curated OER
Exploring the Witch of Agnesi
high schoolers construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
Curated OER
Lesson #55 Test on Logarithms and Exponentials
Twelfth graders assess their knowledge of logarithmic and exponential functions. In this calculus lesson, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions. Students apply the derivatives...
Curated OER
Derivatives of Exponential Functions
Students listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Students listen as...