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Curated OER
Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
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Implicit Differentiation Problems
In this calculus worksheet, students perform implicit differentiation to take the derivative. They solve function explicitly of x. They differentiate between implicitly and explicitly. There are 16 problems with an answer key.
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Why do Stars Rise in the East?
In this stars rise in the east activity, students use geometry to show how the Earth rotates from west to east and why celestial bodies appear to rise in the east and set in the west. Students draw a figure and label given points in...
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Pythagorean Theorem
In this Pythagorean theorem worksheet, 9th graders solve and complete 6 various types of problems. First, they find the length of a right-angled triangle's hypotenuse. Then, students determine which triangle is described and explain...
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Calculus Practice BC
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
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SAT Grid Practice Test 12
For this SAT practice test, learners solve various problems dealing with percent, area of polygons, rates, functions, and distance. This one page on-line worksheet contains ten multi-step problems.
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AP Calculus Practice Exam
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Quadratic Functions
In this algebra instructional activity, students graph quadratic functions and identify the vertex, axis of symmetry, maximum and minimum and intercepts. There are 7 questions.
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Worksheet 30
For this math worksheet, learners imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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Worksheet 25- Spring 1996
In this math activity, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
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Implicit Differentiation
Students implicitly differentiate functions . In this implicitly differentiating functions instructional activity, students take the derivative of functions that cannot be solved for a variable. Students find the derivative...
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AP Calculus Practice Exam
In this Calculus instructional activity, students are provided with problems of a similar nature to those on their exam. Problems include limits, derivatives, and integrals. The four page instructional activity contains...
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Parametrics 1
In this parametric worksheet, students sketch given inequalities and use trigonometry functions to eliminate the parameters. They write equations of a line under given parameters. This four-page worksheet contains 11 multi-step problems.
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Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
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AP Calculus Practice Exam: BC Version - Part A
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Worksheet 18
For this math worksheet, students solve the problems using the rules of Calculus. They focus upon using trigonometric rules to investigate the functions.
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Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam
In this AP Calculus BC practice exam, students solve twenty-eight multiple choice problems without the use of a calculator. This worksheet should be completed in fifty-five minutes.
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Worksheet 35
In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.
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SAT Grid Ins Practice Test 05
In this SAT practice test activity, 12th graders answer 10 short answer questions. Questions are from a variety of topics, but mainly ask about geometry concepts. The test is self-scoring.
Science Buddies
Science Buddies: Circles, Tangent Lines and Triangles
Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive...
Illustrative Mathematics
Illustrative Mathematics: G C, G Co Tangent Lines and the Radius of a Circle
In this task, students are shown a circle with center O and point P on the circle. L is a line that is a tangent to the circle at P. They must show that line OP is perpendicular to line L. Aligns with G-C.A.2, G-CO.A, and G-CO.C.9.
University of Regina (Canada)
Univeristy of Regina: Math Central: Tangent Lines and Circle Equations
This site offers a problem and solution to finding all possible slopes for a line tangent to a circle given a particular equation of a circle. Could be an interesting challenge for students.
Texas Instruments
Texas Instruments: Drawing a Line Tangent to a Circle
Students use the drawing and measurement tools of Cabri Jr. to draw a line tangent to a circle. [Requires Adobe Reader.]
CK-12 Foundation
Ck 12: Geometry: Tangent Lines
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about tangent lines and how to apply theorems related to tangents of circles.