Curated OER
Lab 5: Inverse Functions and Calculus
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
College Board
2008 AP® Calculus BC Free-Response Questions
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
Curated OER
Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus instructional activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the...
Curated OER
Riemann Sums
Students calculate the area under a curve. In this calculus lesson, students use Riemann Sums to find the area under a curve. They apply the boundaries of intervals as they solve for each area.
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
Polar Graphs
Students graph polar graphs. In this calculus instructional activity, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
Curated OER
Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
Curated OER
Epsilon-Delta Window Challenge
Learners graph functions and analyze them. In this calculus instructional activity, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
Texas Instruments
A Tale of Two Lines
High schoolers graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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
Basic Limits
Learners calculate the limits of functions. For this calculus lesson, 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.
Curated OER
Critical Points
Students identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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.
Texas Instruments
Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
Texas Instruments
Mean Value Theorem
High schoolers calculate the slopes of secant lines. In this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
Curated OER
Concavity of a Graph
Learners explore the graph of a function. In this calculus activity, high schoolers identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
Curated OER
Position, Distance, Velocity
Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.
Curated OER
Filling The Urn
Learners calculate the area under a curve. In this calculus lesson plan,students calculate the area by integrating the equation. They calculate the volume of cylindrical shapes created between graphs.
Curated OER
Newton's Method
Student approximate the roots of E using Newtons Method. In this calculus lesson, students calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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
Derivative Analysis
High schoolers analyze the derivative of a graph. In this calculus instructional activity, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
Curated OER
Optimization
Learners identify the critical points to a function. In this calculus lesson plan, students perform optimization of functions. They use the TI to create a visual of the graph.
Curated OER
Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
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