Lesson plan

Use properties of right triangles to determine length of segments

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teaches Common Core State Standards HSG-GPE.B.7 http://corestandards.org/Math/Content/HSG/GPE/B/7
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Big Ideas: Right triangles have special relationships such that the Pythagorean Theorem can be used with coordinates to calculate the lengths of segments. This lesson continues developing the concept of how the side lengths of right triangles have a special relationship. In this task, students continue with the application of the Pythagorean Theorem to show how right triangles can be used to find missing side lengths. Students will make a connection between the Pythagorean Theorem and the distance formula. This will lead to future lessons in which students use right triangles to calculate perimeter and area of various shapes. Vocabulary: distance formula, coordinates