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A.P. Calculus Test Covering Limits, Derivatives, and Integrals
For 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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Simple Harmonic Motion
Students solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Mathematics in Robotics
Students build and create using math. In this geometry lesson, students differentiate between congruent and similarity as they observe polygons. They create robots with different functions using properties of geometry.
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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
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus activity, students solve optimization problems and find rates of change.
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Sine
In this sine worksheet, young scholars use the trigonometry equation to find the sine of triangles. Students solve the sine for 10 triangle problems.
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Integration Strategies
In this integration learning exercise, students determine the best technique of integration to use. They evaluate given integrals. This one page learning exercise contains nine multi-step problems.
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Sin, Cos and Tangent
Students find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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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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Evaluate Integrals
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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Limit Estimation
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
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Calculus: Graphical, Numerical, Algebraic
Pupils explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
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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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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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Numerical Analysis/ Other Root-finding Methods
In this math worksheet, students examine the uses of false position, Newton’s and Secant methods of finding the root of an equation.
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Sine Cosine Game
In this algebra learning exercise, students are given a word problem they must solve by rewriting the words in to algebraic symbols. They investigate Sine and Cosine using word problems. There are 18 questions with an answer key.
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Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Vectors
Represent motion with arrows and call them vectors! The lesson is a presentation that models the mathematics involved when determining a resultant vector. It addrssses motions that are parallel, perpendicular, and a combination of both.
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Applications of Triangles
Students apply the properties of a right triangle. In this triangle lesson, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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When a Ruler is Too Short
Students measure distances using parallax. In this math lesson, students explain how this method helped astronomers with their studies of the solar system. They determine the length of their arm using parallax and compare it with other...
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The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
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Arc Length Lesson
Learners find the length of the arc of a circle. For this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They...
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Promote Precalculus
Use projects, real-world activities, and games to bring precalculus to life for students.
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Ferris Wheels—Tracking the Height of a Passenger Car
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.