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Beginning the Year with Local Linearity
Students investigate an article on local linearity. In this calculus lesson, 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 world.
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Matrices
In this calculus instructional activity, learners practice solving equations of area and integrals. There are 14 multi-step problems.
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AP Calculus Practice Exam
In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page worksheet contains twenty-eight multiple choice questions. Answers are not provided.
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Lesson #94 Exact Area Under a Curve
Students 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.
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Converge or Diverge?
Learners 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 examine...
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Hyperbolic Functions
Students evaluate6 functions. They prove three identities and solve four differential problems. THere are 13 problems total.
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 learners 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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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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River Optimization Problem
Students 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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Sodoku
In this calculus activity, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
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Math 155 Worksheet 11
For this college level calculus worksheet, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit. The two page worksheet contains four problems. Answers are not provided.
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Graphs of the Sine and Cosine Function
In this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.
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Graph of the Tangent, cotangent, Secant, and Cosecant Functions
In this college level Pre-calculus worksheet, students examine the graphs of the Tangent, cotangent, secant, and cosecant functions. Students find the intercepts and any asymptotes. The seven page worksheet contains sixty-six...
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Worksheet 7
In this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
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Worksheet 23
In this math activity, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Worksheet 16 Practice Exam 1
In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
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Numerical Analysis/ Orders of Convergence of a Sequence
In this math learning exercise, students examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
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Infinite Series
In this math worksheet, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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L'Hopital's Review Problems
In this college level calculus learning exercise, students use L’Hopitals’s Rule to evaluate the given limits. The two page learning exercise contains thirty-seven problems. Answers are not provided.
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Definition Of The Derivative
High schoolers engage in a lesson plan that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson plan. Students then graph the derivative...
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Mathematical Modeling
For this Pre-Calculus worksheet, students investigate the process of formulating, solving, and interpreting mathematical models. The ten page worksheet contains explanation and four solved examples to serve as a guide for the modeling...
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