Curated OER
Do the Twist...(Learning about Screws)
Students investigate how screws are a twisted incline plane. They observe the teacher screw a screw into wood and participate in a class discussion. Next, they make and test a prediction about how the spacing of the threads on a screw...
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A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
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Exploration of Trigonometry
Learners explore how changing an angle in a triangle changes the ratio of the sides. They also explore how changing the sides can make changes to an angle in a triangle. Finally, they determine how two different pairs of sides, in the...
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Pan's Highway-Saturn's Rings
In this Pan's highway worksheet, students read about the Cassini spacecraft that discovered how Pan clears out the ring debris in the outer A-ring system of Saturn. Students use an image taken by the satellite to find the scale of the...
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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
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Pythagorean Theorem
In this geometry worksheet, 10th graders solve for missing sides and angles of a triangle. They use the pythagorean theorem to solve for the unknown in a right triangle. There are 5 questions on this worksheet.
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The Pythagorean Theorem
In this geometry learning exercise, 10th graders answer questions about right triangles by identifying the 3 sides of the triangle. They analyze the different shapes of polygons and relate them to right triangles to find the sides using...
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The Law of Sines
Students define the laws of sine as it relates to a right triangle. In this trigonometry lesson, students identify the properties of sine to help then find mixing sides of a right triangle. They also solve for the missing angles.
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The Geometry of Solids
For this solids worksheet, students compute the volume of prisms, cylinders, pyramids, spheres and cones. This seven-page worksheet contains approximately 68 problems.
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Measuring the Egyptian Way using the Pythagorean Theorem
Students measure using the Pythagorean Theorem. In this geometry lesson, students solve right triangles using the properties of the Pythagorean theorem. They apply the same knowledge to solving story problems.
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Barber Pole
In this geometry learning exercise, learners calculate the length of the rotating stripes around a cylinder. There is an answer key with this problem.
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Semicircles
In this geometry worksheet, 10th graders are presented with a problem involving semicircles. The diagram appears simple, though it turns out to have a many segments to be labeled with variables. The key to solving the problem is...
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The Pythagorean Theorem
In this geometry worksheet, 10th graders use the Pythagorean Theorem to determine the length of the third side of a right triangle given the length of any two sides. The three page worksheet contains a combination of seventeen multiple...
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Quadratics with Irrational Solutions
For this algebra worksheet, students apply the concepts of a right triangle to help them solve for the missing sides of a triangle. They use the quadratic formula to solve word problems. There are 5 problems with an answer key.
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Trigonometric Functions of Acute Right Triangles
Students derive the six trigonometric functions. In this trigonometry lesson, students show their understanding of trigonometric functions as they relate the right triangles. They find the missing angles and side use trig ratios of sine,...
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Distance Formula
Learners calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
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Proving Pythagoras
Students prove the theorem of Pythagoras. In this Pythagorean Theorem lesson, students define the different parts of a right triangle. They use the Pythagorean Theorem to solve for the missing sides and angles of a right triangle.
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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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Equation of a Circle
Young scholars write the equation of a circle. In this geometry activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
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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 lesson objectives, class procedures, and basic instructional techniques that could be used.
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Pythagorean Theorem
Need a few extra examples on using the Pythagorean Theorem? Here is a lesson plan that uses pictures of New York City’s buildings as a model, and young architects find the height of the building. Consider adding more examples to further...
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Pythagoras' Theorem
In this triangles learning exercise, students solve 40 problems in which Pythagoras' theorem is used to check if a triangle is right-angled. This page is intended for online use but may be completed on paper.
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Pythagorean Theorem
Students solve problems using the Pythagorean Theorem. In this geometry lesson plan, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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Solving Right Triangles
Students investigate the basic trigonometric functions. In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions. The lesson includes an application problem in which...
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