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Precalculus Test 4 (Sections 4.5-4.7)
For this precalculus test, students answer 5 multiple choice, 5 short answer, and six graphing questions.
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Right Triangles and Unit Circles
Students evaluate the six trigonometric values of a trig function. In this trigonometry lesson, students use the Unit Circle to find the values of right triangles and their angles. They identify an angle of elevation and depression.
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Elevation at its Peak
Students pretend they are hiking up a mountain. They practice making calculations on angles and elevation. They use topographic maps to estimate distances and trigonometric ratio methods.
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Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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Infinite Limits and Horizontal Asymptotes
In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...
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Tilted Squares and Right Triangles
Learners investigate squares. They generate patterns from structured situations and find a rule for the general term and express it using words and symbols. Students generate patterns from a rule and substitute values and formulas.
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Families of Functions
Students investigate families of functions. In this families of functions lesson, students discuss how changing a functions parameters affect its' graph. Students vary slope and y-intercepts of linear functions. Students stretch and...
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals. Students should have covered trig limits prior to this worksheet.
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Why We Study Trigonometry
Students investigate the different properties of trigonometry. In this precalculus lesson, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real life...
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Woody Sine
Students explore the concept of sine. For 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 Six: System of Equations
For this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
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Surfing the Waves
Students use online resources, including animations,to define the slope of a curve and how to calculate the slope. They solve 8 problems online, using the definition of the derivative of a function at a point to calculate slope of the...
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Geometry Course Review
In this geometry review set of worksheet, 10th graders solve and complete 139 various types of problems. First, they find the slope-intercept form of a line passing through a point and parallel to a line given. Then, students find the...
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Functions
For this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...
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Getting Triggy With It
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator. Students change the coefficients for the amplitude, period, frequency,...
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Extrema on an Interval
Learners explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Tangents
In this tangents worksheet, learners determine the length of a missing side of a right triangles. They use tangent lines to solve problems. This two-page worksheet contains 11 multi-step problems.
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The Tangent Ratio
Students calculate the tangent ratio given a right triangle. In this trigonometry lesson, students use a right triangle and the Pythagorean Theorem to solve problems.
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Intro to Trigonometry
After being introduced to the basic trigonometry functions, middle schoolers calculate the height of school landmarks. They experiment with different angles to find the correct height.
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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 sixty-six...
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Segment Formulas Multiple Choice
In this geometry instructional activity, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length. The one page interactive instructional activity contains ten problems. Answers are...
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Law of Sines and Law of Cosines
In this sine and cosine worksheet, students use the law of sines and law of cosines to find the required part of a triangle. Examples and explanations are provided. This three-page worksheet contains 24 problems. Answers are listed at...
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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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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.