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Precalculus Test 3 (4.4-4.5)
In this precalculus test, students select the best answer from 8 multiple choice problems. They solve 4 short answer problems and graph one cycle of each of four equations.
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Geometry Worksheet: Area (6)
In this geometry learning exercise, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle. The one page learning exercise contains a drawing of and an...
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Trigonometry Worksheet: Addition Formula
In this trigonometry worksheet, learners solve 2 problems involving the addition formula. Students find the sine of a given angle using the addition formula.
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Trigonometry Worksheet: Double Angle Formula (1)
Students use the double angle formula to solve one problem. They are given the problem: if sin(a)=3/5, and a is an acute angle, use the double angle formula to find exact values of given sin, cosign, and tangent within the quadrant of...
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The Sine Function
Young scholars explore the concept of the sine function. In this sine function lesson, students use a plexiglass sine wave generator to visualize the sine function. Young scholars use a computer program/calculator to adjust aspects of...
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Sine
In this sine learning exercise, 10th graders solve 10 different problems by determining the sine in each right triangle shown. They determine the sine of one point by applying the other points given in the problem.
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Cosine
In this cosine worksheet, 10th graders solve 10 different problems that include various triangles. They determine the cosine of one point in each triangle illustrated. Then, they apply the line segments given to each and solve for the...
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Functions
In this function worksheet, students solve 4 different types of equations related to functions. First, they determine a particular solution to the low pass and plot the input and output of the same axes and compare. Then, students...
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Second Order ODE's
In this second order ODE's learning exercise, students solve 2 different problems that are related to determining the second order ODE's in each equation given. First, they set up an equation where the applied force is the cosine plus...
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Circle Proofs
For this circle proofs worksheet, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use the circle...
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Trig Derivatives
In this trigonometric derivative worksheet, young scholars analyze the function and identify the derivative. This one-page worksheet contains approximately 20 problems.
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MT-A141 PreCalculus: Worksheet 6.2/6.3
For this precalculus worksheet, students 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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MT-141 Precalculus - Worksheet 6.4(b)
In this precalculus worksheet, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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MT-A141 PreCalculus: Worksheet 6.4
In this precalculus instructional activity, students predict the graph of given functions and draw conclusions about each one. Students define a transformation, and determine the amplitude, period, phase shift and vertical shift of...
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PreCalculus Worksheet 8.4
In this precalculus worksheet, students write numbers in their trigonometric form and compute the numbers to a given power. Students explore the parametric function and trace the roots of unity. After completing eight short answer...
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Completing Precalculus Computations
In this precalculus learning exercise, 12th graders find the solutions to four problems. They verify the identity of sine and find the exact value of cosine.
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Trigonometric Functions
In this Calculus instructional activity, students solve multiple detailed problems for four different Math concepts. They apply the concepts of Trigonometric ratios.
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Integrals with Odd Powers of Sine and Cosine
Students review the power rule for integrals. They watch as the teacher demonstrates several problems. Students describe problems as an integral of u^n or du/u. They discuss problems that are not u^n because of the absence of a...
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Integrals with Even Powers of Sine and Cosine
Students discuss ways to integrate given trigometric functions. They use a trig identity (half angle identities) to solve problems. Students practice solving problems with even powers of both sine and cosine. They change a sum of...
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Integrals with Odd Powers of Secant and Tangent
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
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Integrals with Even Powers of Secant and Tangent
Young scholars integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first...
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Integrals by Partial Fractions (Heaviside Method)
Learners listen as the teacher describes the Heaviside Method of integrating integrals. They solve several problems using the Heaviside Method, and practice deciding when this method can and can not be used. Students work several...
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Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
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E, Pi, and Exponential Functions
Young scholars discuss the difference between y=x^2 and y=2^x. They listen as the teacher defines "e." Students receive an information sheet on "e," as well as a history sheet on pi. They solve equations involving exponents and "e."