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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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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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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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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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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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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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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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Unit Circle Triangle
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
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Related Angles
In this angle worksheet, students identify angles and then determine the related angle. Examples are provided. This one-page worksheet contains 36 problems, with answers at the bottom of the page.
Physics Classroom
As the Crow Flies Lab
A simple, yet memorable, way of practicing with displacement vectors is described here. Divide your class into groups and assign each a different landmark on campus. They measure smaller legs of the path from the classroom to their...
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Length of an Arc and Area of a Sector
In this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students find...
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The Story of Joe S---
In this algebra worksheet, students replace letters blanks with letters to make math words. This is a fill in the blank, complete the sentence type of activity. There are 10 questions with an answer key.
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The Radian Walk
Students play a game to learn angle measures in radians. In this precalculus/trigonometry activity, students play a game similar to a cake walk. When the music stops, which ever student is selected, names his/her coordinates and place on...
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Precalculus Test
In this precalculus worksheet, students show their mastery of terminal side angles, conversion form degrees to radians and supplementary angles. There are 16 questions on this test.
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Basic Theorems and Proofs
In this pre-calculus worksheet, 11th graders recall the three forms of the law of cosines and used it to solve problems involving triangles. They also write out the laws of sines and use those to solve problems with angles. There are 15...
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Section 6.1-6.2 Precalculus: Trigonometry
In this trigonometry worksheet, high schoolers solve 15 triangle problems. Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.
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Method for Remembering the Coordinates of the Points in the First Quadrant on the Unit Circle
In this Unit Circle worksheet, students explore a method to help remember the coordinates of the points in the first quadrant on the unit circle. Answers are provided as well as a completed unit circle.
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A Different Proof of the Law of Cosines
In this proofs instructional activity, students construct 1 proof of the law of cosines. Students construct a right triangle within a circle to prove the law of cosines.
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Trigonometry in Automobile - Accident Reconstruction
In this accident reconstruction worksheet, students use trigonometry and vectors to determine the speeds of automobiles in a car accident. They compute the speed at which a car skidded before a crash. This one-page worksheet contains 1...
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Promote Precalculus
Use projects, real-world activities, and games to bring precalculus to life for students.
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Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
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Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
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Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
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