# Pythagorean Theorem Essay

1. Students will be able to apply the Pythagorean Theorem to find the length of the unknown side of a right triangle.

2. Students will determine how to use the Pythagorean Theorem to solve mathematical problems

3. Students will be able to evaluate expressions and solve equations with single digit exponents

NY State Standards:

CCSS.MATH.CONTENT.8.G.B.6

Explain a proof of the Pythagorean Theorem and its converse.

CCSS.MATH.CONTENT.8.G.B.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

CCSS.MATH.CONTENT.8.G.B.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Materials: whiteboard, Powerpoint Presentation, Expo marker,

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However, by the end of the week/unit, the students will receive a summative assessment to demonstrate their understanding of using the Pythagorean Theorem to identify the missing leg or hypotenuse of a right triangle.

Procedure:

Before the lesson (Do Now): To help the students be successful with using the Pythagorean Theorem, the students will review what it means if a number is squared, square roots, and solving expressions with single digit exponents. To ensure that the students understood the Do Now, the teacher will call on volunteers to solve each problem.

Introduction: Before beginning the mini-lesson, the teacher will review some vocabulary words that students will need to know in order to be successful in today’s lesson. These vocabulary words are Pythagorean Theorem, right triangle, and hypotenuse. We will also review some words that the students should already know from previous lessons, which are: area, square root, and array cards.

During the lesson (Guided Practice):

Note: The teacher will use a ppt. and Array Cards to support her in carrying out the