AP Test Prep
College Board

2010 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
AP Test Prep
College Board

2002 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
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Trigonometry: Worksheet for Test #4

For Students 10th - 11th
In this trigonometry worksheet, students determine whether given mappings are functions. They evaluate 5 functions for a given x value. Students graph 2 functions. They determine which ordered pairs are solutions to given functions....
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Trogonometry

For Students 11th
For this trig worksheet, 11th graders solve equations using the 6 trig identities to rewrite equations in simple form.  There are 2 questions requiring very detailed explanations.
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NY State Testing Program

For Students 8th
For this math exam worksheet, 8th graders review geometric and algebraic concept including angles, polygons, equations, factoring and addition and subtraction, quadrilaterals, trig and circles. They take a comprehensive...
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Mini Examination

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
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Test on sections 6.2-6.3

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
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Integrals with even Powers of Sine and Cosine

For Teachers 12th
Twelfth graders define integrals and solve equations with trig functions. In this calculus lesson, 12th graders integrate integrals with sine and cosine powers. They discuss what method to use based on even or odd exponents.
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Final Exam Multiple Choice

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. For this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
Lesson Plan
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Final Exam Multiple Choice part B

For Teachers 12th
Twelfth graders review the properties of derivatives without a calculator to get get ready for their test. In this calculus instructional activity, 12th graders review average rate change, parametric equations, a line tangent to a...
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AP Calculus Practice Exam

For Students 11th - 12th
In this calculus instructional activity, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Integrals and Integration

For Students 11th - 12th
In this calculus worksheet, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
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E, Pi, and Exponential Functions

For Teachers 11th - 12th
Students 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."
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Functions

For Students 12th - Higher Ed
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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Completing Precalculus Computations

For Students 12th
In this precalculus worksheet, 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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Rose Curve

For Teachers 9th - 12th Standards
Arcsine will be better understood and applied through prediction the number of petals on a rose curve using polar equations. Learners relate rose curve to siusoidal functions using the Ti navigator.
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PreCalculus Test 3: Angle Measurement

For Students 10th - 12th
In this angle measurement worksheet, students identify the domain and range of given problems.  They determine the amplitude, period and horizontal translation of given functions.  This two-page worksheet contains 16 problems.
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Can You Make a Hole in One?

For Teachers 8th - 11th
Learners relate miniature golf to reflection of an image. In this algebra lesson, students collect and graph data as they study linear equations. They apply properties of graphing to solve real life scenarios.
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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.
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Snell's Law

For Teachers 9th - 12th
Young scholars determine whether the index of refraction of sample of Corn Syrup meets Federal standards. This task assess students' abilities to explain the procedures for investigation, plan for recording and organizing observations...
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Vertical Tower

For Students 11th
In this trigonometry worksheet, 11th graders are given a tower built by different angles and asked to prove the sides are true using the theorems of trig angles. There are 3 questions with an answer key.
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Operations of Complex Numbers and Intro to DeMoivre's Theorem

For Teachers 9th - 10th
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
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Sun Path: Interactive On-line Mac or PC

For Teachers Higher Ed
Students use SunPath in the yearly mode to investigate seasonal changes in sunrise, sunset, length of day and sun altitude at their own latitude. Sun Path JAVA applet uses equations for a spherical Earth to calculate the sunrise and...
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A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam

For Students 11th - Higher Ed
In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions.  Many of these questions cover trigonometric functions.