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Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry instructional activity, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the...
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Trig River
Students calcute distances using trigonometry and angle measurements. They estimate the width of the Trig River, measure it and compare their results with their classmates. They collaborate with a group to research and find the results.
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Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II activity, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
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Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry instructional activity, students explore strategies to solve right triangles using basic trigonometric functions. The instructional...
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Investigating the Idea of Sin
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways...
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Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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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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Tangents
In this tangents learning exercise, students use tangent ratios to find the length of the sides of right triangles. This one-page learning exercise contains 10 multi-step problems. Answers are provided.
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Elevation at its Peak
Students pretend they are hiking up a mountain. They practice making calculations on angles and elevation. They use topographic maps to estimate distances and trigonometric ratio methods.
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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. In this geometry lesson plan, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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Sin, Cos and Tangent
Pupils 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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The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. For this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Folding Circles
Students investigate properties of circles. In this geometry lesson, students differentiate between similarity and congruence as they observe polygons. They investigate properties of two and three dimensional shape.
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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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Trigonometric Applications Outside the Classroom
Fifth graders describe and demonstrate how trigonometry can be used to find the height of a tall building or tree. They describe and demonstrate how trigonometry can be used to find the height of a high hill, or other high object where...
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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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Traditional American Indian Lodges
Students explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size pyramid...
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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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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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You Can't Go Wrong with a Right Triangle 2
Upper graders use the properties of right angle trignonmetry to measure objects such as the school flagpole. They solve real world problems using these properties.
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Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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Exploring Geometric Mean
Students solve problems using geometric means. In this geometry lesson, students create altitudes in right triangles. They use Cabri software to move the triangle around and observe different sides and angles.
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Exploring Geometric Mean
Student identify the solution using geometric mean. In this geometry lesson, students create right triangles where the altitude of the triangle is the side containing the right angle. They modify shapes using Cabri software and observe...