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Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Worksheet
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SAT Grid Practice Test 12

For Students 10th - 12th
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.
Worksheet
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Quadratic Functions

For Students 10th - 11th
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.
Interactive
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SAT Grid Ins Practice Test 05

For Students 12th
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.
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AP Calculus Practice Exam

For Students 11th - 12th
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
App
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Geometry Pad+

For Students 6th - 10th Standards
Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...
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Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students 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 review...
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Worksheet 30

For Students 11th - Higher Ed
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

For Students 11th - Higher Ed
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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Worksheet 21 Spring 1996

For Students 11th - Higher Ed
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 18

For Students 11th - Higher Ed
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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Worksheet 22 - Spring 1996

For Students 11th - Higher Ed
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

For Students 11th - Higher Ed
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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Worksheet 15

For Students 11th - Higher Ed
In this math worksheet, students predict the velocity of an object. They also examine the position of the object in relation to the time.
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Parametrics 1

For Teachers Higher Ed
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.
Lesson Plan
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Implicit Differentiation

For Teachers 11th - 12th
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...
Interactive
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Twenty-Eight Multiple Choice No Calculator Allowed AP Calculus BC Practice Exam

For Students 12th - Higher Ed
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.
Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
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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Inscribed Angles

For Teachers 9th - Higher Ed
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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Angles and Arcs

For Teachers 9th - 10th
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs. Students give examples of concentric, similar, and congruent circles and congruent arcs.
Worksheet
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MT-A141 PreCalculus: Worksheet 6.2/6.3

For Students 10th - 11th
In this precalculus worksheet, learners use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of elevation,...
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Worksheet 28: Parametric Equations

For Teachers 12th - Higher Ed
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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Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
Worksheet
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Why do Stars Rise in the East?

For Students 8th - 10th
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...