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Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
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Linear and Quadratic Approximations
Learners explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function. Learners examine the three graphs as they compare and...
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Worksheet 1
In this math worksheet, students give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
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Worksheet 25
In this math worksheet, students state the Fundamental Theorem of Calculus. Then they evaluate the functions and test them against the theorem.
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Worksheet 33 Spring 1996
In this math worksheet, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.
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Worksheet 17
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
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Worksheet 15 - Spring 1996
In this math activity, students solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.
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Why Does the Rule of 72 Work
In this algebra worksheet, students solve a word problem by rewriting it using algebraic symbols. They calculate the interest compounded over a period of time using the Interest Formula. This worksheet includes 1 problem and an answer key.
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus activity, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Calculus: Graphical, Numerical, Algebraic
Pupils explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
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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...
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Definition Of The Derivative
Students engage in a lesson 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. Students then graph the derivative and draw its...
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Decode Word Is..
Pupils solve problems using patterns. In this algebra instructional activity, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Worksheet 14 - Spring 1996
In this math worksheet, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
In this logarithms activity, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. This one-page...
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Can You Make a Hole in One?
Students relate miniature golf to reflection of an image. In this algebra lesson, students collect and graph data as they study linear equations. They apply properties of graphing to solve real life scenarios.
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Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
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Worksheet 35
In this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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Charging Up, Charging Down: Exponential Models
Students collect and analyze voltage data. In this math lesson, students investigate exponential functions using the TI and a Voltage Probe. They graph their data and analyze it using a table.
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.
Texas Instruments
Mean Value Theorem
Students calculate the slopes of secant lines. In this calculus lesson plan, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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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...