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
Getting a Little "Lift"out of Calculus
Students, after entering the given conditions into FoilSim, apply calculus techniques to verify predictions.
Curated OER
Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
Curated OER
Is There a Limit to Which Side You Can Take?
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
Ohio State University
Exploration Activities with Electrostatic Interactions
Step out of the 21st century and discover protons and electrons through observation. Using common materials, participants continually adjust their explanation of charges. The final assessment requires pupils to design their own...
Houston Area Calculus Teachers
Related Rates
Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they collect,...
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...
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...
EngageNY
Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
College Board
Frozen in Time
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...
Curated OER
One Revolution for Robot
Students calculate the revolution and circumference of circles. In this calculus lesson plan, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
Curated OER
Seeing is Believing: Derivatives
Learn to solve functions by taking the derivatives. In this calculus lesson, young scholars compare the graph of a derivative to that of the original function.
Texas Instruments
Listen and Line Up
High schoolers practice the derivative using an interactive activity. In this calculus instructional activity they explore the derivative by playing a game. Each student gets a turn at being the caller.
Curated OER
Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, high schoolers solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Curated OER
Derivative Grapher
Learners graph the derivative of functions in this calculus instructional activity. 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
Polar Graphs
Young scholars graph polar graphs. For this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
Curated OER
Epsilon-Delta Window Challenge
High schoolers graph functions and analyze them. In this calculus lesson, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
Curated OER
Limits at Infinity
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
Curated OER
Concavity of a Graph
Learners explore the graph of a function. For this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
Texas Instruments
Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus lesson. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and explain different...
Curated OER
Optimization
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
Curated OER
Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson plan. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
Curated OER
Word Problems
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
Curated OER
Basic Limits
Learners calculate the limits of functions. In this calculus instructional activity, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.