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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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Dilation
Tenth graders identidy and define various geometry terms, Students create exact replicas of a shape that is either smaller or larger than the original shape. Students prove that their entire shapes are larger or smaller in the same...
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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. For this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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The Pythagorean Theorem
Seventh graders relate the Pythagorean theorem to the real world. In this algebra lesson, 7th graders identify important properties of the Pythagorean theorem and use it to solve word problems. They create a step by step plan to help...
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Pythagorean Theorem
Seventh graders practice calculations using the Pythagorean Theorem to find the missing side of a right triangle. Through guided practice, 7th graders explore how to apply the Pythagorean Theorem to solve for a missing variable. ...
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Linear/Planar Geometry - Week 5
In this plane geometry worksheet, students combine the basis of plane geometry and linear problems to solve problems. They determine total surface area, the length of a line, and the sum of the edges of a three-dimensional figure. This...
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Linear/Planar Geometry - Week 5
In this linear and planar geometry worksheet, students use the Pythagorean Theorem, equation of a line, slope of a line and area formulas to solve problems. This three-page worksheet contains seven problems.
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Finding the Shortest Distance Between The Spider and The Fly
In this word problem worksheet, students solve for the shortest distance between a spider and a fly. The solution is provided.
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Pythagorean Theorem
Students investigate the Pythagorean Theorem. In this seventh through twelfth grade geometery lesson, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right triangle.
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Seventeen Math Regents Exam Pythagorean Theorem Questions
In this Pythagorean Theorem activity, students solve seventeen Math Regents Exam questions using the Pythagorean Theorem. The solutions are provided.
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The Pythagorean Theorem
In this geometry learning exercise, students solve missing parts of a triangle using the Pythagorean Theorem. There are 19 questions with an answer key.
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Chapter 6: Geometry Perimeter and Area
In this perimeter and area learning exercise, students find the perimeter of various polygons. They compute the perimeter, surface area, circumference, and volume of given figures. Students explore trigonometric ratios. This...
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Pythagorean Theorem Worksheet
In this geometry worksheet, 10th graders use the Pythagorean Theorem to find the length of the unknown side of the right triangle. The one page interactive worksheet contains twelve questions. Answers and hints are included.
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Investigating Pythagorean Triples
Students investigate and solve Pythagorean triples. In this geometry lesson plan, students find the missing sides and angles of a right triangle. They graph right triangles and move the sides around to create different angles.
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Investigating the Pythagorean Triples
Students investigate the Pythagorean triples. In this geometry instructional activity, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
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Pythagorean Theorem and Problem Solving
Students use the Pythagorean Theorem to solve problems. In this geometry lesson, students identify the properties of a right triangle. They find the missing side and angles of a right triangle.
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Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
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Chambered Nautilus
Students create sets of similar triangles which, when fixed together with a piece of Scotch tape, form a spiral-like, segmented shape, slightly similar to the cross section of the shell of a nautilus.
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Can a Geometric Mean be Nice?
In this Geometry instructional (work)sheet, students are instructed on how to find the geometric mean. Students are then shown how the geometric mean is applied to proving similar triangles.