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Angles in Standard Positions
Students identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a...
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Arc Length Lesson
Learners find the length of the arc of a circle. In 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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Trigonometry Applications
In this geometry worksheet, 10th graders solve application word problems involving the use or right triangle trigonometry, including angle of elevation or depression. The one page interactive worksheet contains five questions. Hints,...
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MA 371 - Vector Norm: Dot Product
In this dot product worksheet, students solve 6 short answer problems. Students find unit vectors in the same direction as a given vector. Students express vectors as a linear combination of the standard basis vectors. Students find a...
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Waves Interference
Students identify different wave types and their characteristics. In this wave lesson students complete activities by activating tuning forks and interpreting data.Â
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Trig functions and Triangles
Here is a basic plan for the beginning teacher to use for introducing the class to the right triangle trigonometric functions. It outlines the instructional activity objectives, class procedures, and basic instructional techniques that...
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Area of a Triangle
Students solve the area of triangles. For this precalculus lesson, students are given two sides of a triangle and asked to calculate the area. They apply the law of sine and the side-angle-side area formula to solve.
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Launches for the Stars
Students are introduced to rockets and the space shuttle program. After viewing a 1960s show, they examine the role and history of NASA and how it evolved into having a space shuttle program. In groups, they create their own model rocket...
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Introducing Trig
Fifth graders explore the importance of triangles in the real world. They find the unknown side of a right triangle using a scale drawing. Students use Pythagoras' Theorem and other appropriate ratios.
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PreCalculus: Final Examination
For this final examination worksheet, students find the tangent function and sine function. They graph problems on a polar coordinate. Students describe trigonometric properties. This twelve-page worksheet contains 80 problems.
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Triangles
For this triangles worksheet, students solve for the missing angles and missing sides on the triangles given. Students complete 12 problems total.
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Why We Study Trigonometry
Students investigate the different properties of trigonometry. In this precalculus lesson, students find the six different identities of trigonometric ratios. They relate the ratios to that of a right triangle and apply it to real life...
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Solving Trigonometry Problems in Two and Three Dimensions
In this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.
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Trigonometric Transformations
Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
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Right Triangles and The Unit Circle
Students solve right triangles using trigonometry. In this geometry lesson, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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Unit Circle and Triangle
Students apply the Unit Circle to solve ratios of triangles. In this geometry activity, students derive the different ratios of a triangle using the Pythagorean Theorem. They find the angles of a unit circle using a right triangle.
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Forces in a Climb
Students use a NASA website to use a given formula to find acceleration and distance after a specific time and how it relates to engine propulsion.
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Trigonometry in Action
Students examine how to apply the principles of trigonometry in authentic measurement situations. They work in groups to determine the height of an object such as a flag pole by determine the angle from their position to the top.
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Intro to Trigonometry
After being introduced to the basic trigonometry functions, middle schoolers calculate the height of school landmarks. They experiment with different angles to find the correct height.
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High and Low Tides
Young scholars collect real world data from the Web regarding high and low tides at various locations in the United States. They find a function which models this data and make predictions on tide levels based on the information found.
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Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
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As the Bird Flies
Young scholars investigate the properties of lines and congruent triangle theorems as well as apply geometric properties and relationships to real-world mathematical problems. Given two different scenarios, they examine maps that have...
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Worksheet 31
In this math worksheet, learners find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.
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Worksheet 35
For this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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