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Right Triangles and The Unit Circle
Young scholars solve right triangles using trigonometry. In this geometry instructional activity, students use the unit circle to identify different trig values. They identify the six trigonometric identities.
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Hot Wheels
Young scholars observe the action produced by toy cars. In this geometry lesson, students discuss motion and distance as they relate to the movement of a spherical object.They collect data and make conjectures based on their data.
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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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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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A.P. Calculus Prerequisite No Calculator Multiple-Choice and Free-Response Exam
In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
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The Delta Flier
Students make calculations in order to construct a kite in the shape of an isosceles right triangle. In this kite lesson students calculate altitude of their flying kites using a formula.
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Some More Trigonometry
Students define the law of cosine and its correct usage. In this trigonometry lesson, students define the law of Heron's area formula and use it to solve problems. They review other trigonometric values and identify the identities.
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Ten Trigonometric Review Problems - Calculator Required
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
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Slope and Tangent
Learners differentiate between the slope and the tangent of the horizontal. In this precalculus lesson, students examine slopes created by tangent lines. They observe the angle formed using properties of the unit circle.
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Investigating Trigonometric Ratios Through Similar Right Triangles.
49Students investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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Investigating Trigonometric Ratios Through Similar Right Triangles
Students identify similar and congruent right triangles. For this geometry lesson, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
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Whatcha Gunna Do When the Hulkster's Measuring Too??
Students measure using tools they have made. For this algebra lesson, students measure the height and distance using non-traditional measuring methods. They apply their findings to algebra and trigonometry properties of measurements.
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This Building is Tall
Learners calculate the perimeter of shapes. In this geometry lesson, students relate properties of polygons to the real world. They find length, midpoint and slope.
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La Toteca- A Tropical Paradise
Students collect data on the time of the ferry. For this algebra lesson, students use the data to predict a ferry schedule. They also compute the depth where oxygen would be needed when diving.
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Forces in a Climb - Vectors
High schoolers read Forces in a Climb from the Beginner's Guide to Propulsion, and explain each of the formulas using vectors.
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Simply Similar at Sea: Simple Triangles
Tenth graders answer a variety of problems based on similar triangle and learn about the rule of thumb. They will test the rule of thumb by estimating the distance to an object in the classroom.
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Exploring Centers of Triangles
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
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Calculus: Graphical, Numerical, Algebraic
Students 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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Derivatives of Exponential Functions
Young scholars take derivatives of exponential functions. In this taking derivatives of exponential functions lesson, students prove the derivative of an exponential function is the exponential function. Young scholars find derivatives...
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