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Operations of Complex Numbers and Intro to DeMoivre's Theorem
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
Pupils 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 sunset...
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A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam
In this A.P. Calculus pre-requisites learning exercise, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
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Newton's Laws
Learners examine and discuss Newton's Laws and discover his contribution to physics. In groups, they participate in an experiment in which they much apply the Laws to the world around them. They describe contact and conservative forces...
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Matter and Motion 3
For this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
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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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Circles
For this circles worksheet, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the measure of each...
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. High schoolers compare the slope of the secant line through two points with the...
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Derivatives
In this derivatives worksheet, students identify intervals. They differentiate given functions. This one page worksheet contains seven multi-step problems.
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#3 Differential Calculus
Young scholars create models of the Mean Value Theorem. In this Mean Value instructional activity, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem. They illustrate the meaning of...
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Worksheet 1 - Polynomials, Functions, Rates
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
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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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Cosine
In this cosine worksheet, students find the cosine of x for different measurements of triangles. Students complete 10 cosine problems.
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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.
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Right Triangle Geometry
Pupils study the basic principles of right triangle geometry needed to solve for unknown values of a right triangle. They apply and master the principles of right triangle geometry by solving problems.
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Creating a Mathematical Model Using Weather Data
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...
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Overview Worksheet
In this instructional activity, learners solve 5 multi-step problems involving sine, cosine, velocity, inflection and constants.
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Chors, Secants, Tangents
Pupils identify the relationship between chords, secants and circles. In this geometry lesson, students calculate the length of the chords. They sketch the secant lines on a circle.
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The Wave of the Future
Twelfth graders discuss sine curves and enter equations into their graphing calculator then compare different graphs created on their calculators. They identify the period, amplitude and phase shift given the graph or the equation of a...
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The Undiscovered Planet
Pupils find a planetary object using star fields. For this investigative lesson students determine the distance to an object using trigonometric parallax.
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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.
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Investigating the Idea of Cos
Fifth graders use cos to solve problems involving right-angled triangles. They solve equations of the form cos(++) = a, for a between -180 and 360 degrees. They state the value of cos(++) in special cases and graph y = cos(++).
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AP Calculus Practice Exam
In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits. The four page worksheet contains twenty-eight multiple choice questions. Answers are not provided.
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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...