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College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
Curated OER
Senior Analysis: Review Functions and Tangents
In this function worksheet, students find the equation of a line tangent to a given function. They identify the derivative of functions, This one-page worksheet contains 11 multi-step problems. Answers are provided on page two of the...
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Graphing Functions
In this graphing functions worksheet, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
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Some Explorations With Even And Odd Functions
In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.
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Foxes and Rabbits 2
Explore the relationship between the population of foxes and rabbits in a national park using trigonometric models. Plot data and find the appropriate trigonometric functions. Two questions require interpretation and explanation of...
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Investigating Transformations
In this trigonometry worksheet, students investigate the transformations that can occur to the basic trigonometric functions. The thirteen page worksheet contains explanation, examples, and forty-seven...
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Senior Analysis
In this senior analysis worksheet, students solve and complete 10 various types of problems. First, they graph each function completely. Then, students label the axes and show a table for each. They also determine if the graph is a...
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The Unit Circle
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
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Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Trig Derivatives
In this trigonometric derivative worksheet, students analyze the function and identify the derivative. This one-page worksheet contains approximately 20 problems.
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Woody Sine
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
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Worksheet 4 - Math 126: Sketching Polar Equations
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
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Graphs of the Sine and Cosine Function
For 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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Trigonometry Practice: Trigonometric Graphs #3
In this Trigonometry Practice worksheet, students are asked to graph a variety of trigonometric functions. A graphing calculator is required to complete these three pages.
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A.P. Calculus - First Semester Esxamination
In this calculus exam instructional activity, learners solve 40 multiple choice and short answer questions. Students find normal lines, derivatives of functions, evaluate functions at points, etc.
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Graph a csc Trigonometric Function
In this trigonometry function worksheet, students graph one csc function with transformations. A grid for graphing is provided.
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Worksheet 12: Relative Maximum and Minimum
In this relative maximum worksheet, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page worksheet...
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
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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...
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Trigonometric Graphs: Vertical and Horizontal Shift of Functions
In this vertical and horizontal shift of functions, students describe the period, amplitude, horizontal shift and vertical shift of each given function. This three-page worksheet contains seven multi-step problems.
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with...
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Domain and Range
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
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Ratios in Right Triangles
Learners calculate the sides of right triangles in this trigonometric ratios lesson. They use Cabri Jr. software and TI-83 or TI-84 calculators to find the side lengths and their ratios to each other for various triangles. The provided...