The Pythagorean theorem in the Coordinate Plane

In this lesson, students will learn about the Pythagorean Theorem in the coordinate plane through practical applications. Using the scenario of building a garden in the shape of a right triangle, they will explore how to calculate missing side lengths using the Pythagorean Theorem. By creating scale drawings on the coordinate plane, students will understand how horizontal and vertical lines intersect to form right angles, enabling them to apply the theorem effectively. Through guided problem-solving, they will learn how to find distances between points on the coordinate plane by extending lines to form right triangles, thus reinforcing their understanding of the Pythagorean Theorem and its real-world applications.