Curated OER
Limits with a Calculator
Students investigate Limits using a graphing calculator or TI. In this calculus lesson plan, students solve limit problems through modeling and relation to the real world. They use correct notation and solve problems involving more than...
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Test on Limits and Continuity
Students review concepts of logarithms for their test. In this calculus lesson plan, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
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Introduction to Limits
Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.
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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.
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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...
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NEXT GENERATION SPACECRAFT-Orion
Students investigate the volume of a solid. In this calculus lesson, students use integration to find the volume of a solid generated by a region, the Orion crew module.
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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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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.
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.
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Return Intervals & Reasoning from Tabular Data
Students calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
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L'Hospital's Rule
Twelfth graders investigate and solve limit problems using L'Hopital's Rule. For this calculus lesson, 12th graders review the 3 properties of limits and apply those properties to solve equations of limits. They work lots of examples...
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Test on Chapter 4
Twelfth graders review concepts of logarithms for their test. In this calculus lesson plan, 12th graders review inverse function, limits, deratives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. For this calculus lesson, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
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Secant Line Approximation of the Tangent Line
Students perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
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Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Area Between Two Curves
Twelfth graders identify and find the area between two curves. In this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
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Beginning the Year with Local Linearity
Students investigate an article on local linearity. In this calculus lesson plan, students read about the application of math in the real world. They gain insight from the teachers view of how to teach and relate the topic to the real...
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Lesson #94 Exact Area Under a Curve
Young scholars research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
Curated OER
Converge or Diverge?
Young scholars prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and...
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...
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Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
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River Optimization Problem
Young scholars define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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