Pythagorean Theorem Teacher Resources
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Curated OER
Inequalities and Triangles
Students prove and apply theorems of triangle inequality and hinge theorem. In this geometry lesson plan, students will discuss which triangle is bigger and why. They will use theorems, such as Exterior Angle Inequality or the...
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Slopes and the Equation of a Line
In this slope and the equation of a line worksheet, 9th graders solve 15 various types of problems that include determining the slope of a line segment and determining the equation of line when two points on the line are presented. They...
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Math Challenge
Learners challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions...
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Trigonometry for AC Circuits
In this physics worksheet, students solve 23 trigonometry based problems. Students apply the Pythagorean Theorem in electricity calculations.
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Length of an Arc
Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
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Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson plan, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
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Triginometry: Find the Unknown Side
In this Trigonometry learning exercise, students use the Pythagorean theorem to calculate the length of side x. There are 5 questions to solve and submit.
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Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
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Area of Triangles
In this geometry instructional activity, 10th graders calculate the area of right triangles using the Pythagorean Theorem combined with the area formula. There are 14 questions with an answer key.
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Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different...
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Pythagorean Triple
Students investigate the properties of the Pythagorean Theorem. In this geometry lesson, students identify the missing angles and sides of a right triangle. They label the hypotenuse and legs of a right triangle correctly.
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Investigating the Pythagorean Triples
Students investigate the Pythagorean triples. In this geometry lesson, students solve for different parts of a right triangle. They identify the missing side or angle using the pythagorean theorem.
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Geometry Worksheet: Pythagoras' Theorem
In this Pythagorean Theorem worksheet, students use the Pythagorean Theorem to find the length of the unlabeled side of the right triangle. There are 8 problems all together.
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Review of Triangles
Students investigate the Pythagorean Theorem. In this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
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Calculating Distances in Two and Three Dimensions
Students use the Pythagorean Theorem to solve problems. For this geometry lesson, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
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Distance in Coordinate Geometry
Students analyze distance and graphing. In this geometry lesson plan, students work problems on a coordinate grid calculating the distance. They apply the Pythagorean Theorem to their data and answer.
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Sin, Cos and Tangent
Students 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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Pyramids- Slant Height and Altitude
Young scholars calculate the height and altitude of a pyramid. In this geometry instructional activity, students define the parts that make up a pyramid. They use the Pythagorean Theorem to find the missing parts of a pyramid.
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NON-EUCLIDEAN GEOMETRY.
Young scholars study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. In this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and...
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Areeas of Parallelograms and Triangles
Twelfth graders are able to deduce the area of polygons by using several methods such as coordinate method. They are able to apply the area of polygons to real life situations. Students apply the Pythagorean Theorem in problem solving...
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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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Geometry: Lesson 10
Eighth graders investigate the Pythagorean theorem and how it is used in geometry. Measurements for different triangles is given and then students must solve problems in order to practice using the formula.
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Geometry and Measurement
Students view a right triangle displayed by the teacher. Students measure legs and the interior angles of the triangle. They look for a pattern or relationship between the legs and angles. Students use pegboards and string to create more...
Mathematics Assessment Project
Pythagorean Triples
What special relationships exist in right triangles? In the high school performance task, learners investigate Pythagorean triples. They then determine rules for the perimeter and area of right triangles given the shortest side.
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