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Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
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Worksheet 8 - Limit of Slopes
In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
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Worksheet 7 - Asymptote
In this asymptote worksheet, pupils compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
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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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Inscribed Angles
Students analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
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Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry instructional activity, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and...
Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
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Triangles
In this triangles worksheet, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3 medians by...
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NUMB3RS Activity: Implicit Orbits
In this algebra activity, students solve word problems using algebraic equations and implicit differentiation. There are 16 problems dealing implicit differentiation.
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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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Trigonometry Ratios
High schoolers identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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Kinematics of the Planar Continuum Snake Robot
Students calculate the length of an arc that surrounds an angle at the center of a circle of radius. In this kinetic equations lesson students complete a lab and solve a kinematic equation.
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Why do Stars Rise in the East?
In this stars rise in the east instructional 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...
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Electric Field Activity
For this physics worksheet, students identify and describe the correct and incorrect features in electric field lines. Then they qualitatively sketch field lines for a charge distribution and a charge given the field lines.
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SAT Grid Practice Test 12
In this SAT practice test, students 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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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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Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
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Twelve Facts About e
In this e worksheet, students are presented with several facts about e and Euler. Students are also given a technique to help them remember the numerical approximation for e.
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Worksheet 21 Spring 1996
In this math learning exercise, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 22 - Spring 1996
students examine the potential of creating the involute for a circle. They use the concept to create new parametric equations. They graph the picture for each.
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Worksheet 27
In this math worksheet, students examine the equations for the planets of Mercury and Saturn. Then they find the distance of Saturn’s closest and farthest approach to the sun.
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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 learning exercise should be completed in fifty-five minutes.
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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.