G.2.8

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

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Formative Assessments
Formative Assessments
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CPALMS: Students are asked to determine the length of each side of a right triangle in the coordinate plane given the coordinates of its vertices.

Calculate Triangle Sides

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CPALMS: Students are asked to find the distance between two points in the coordinate plane.

Distance on the Coordinate Plane

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CPALMS: Students are asked to determine the lengths of the sides of a right triangle in the coordinate plane given the coordinates of its vertices.

Coordinate Plane Triangle

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CPALMS: Students are asked to find the distance between two points in the coordinate plane.

Distance Between Two Points

Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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CPALMS: This resource, from NLVM, will help teachers and students validate the Pythagorean Theorem both geometrically and algebraically. It can be used interactively in order to better understand the topic.

Pythagorean Theorem Manipulatives

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Assessment Questions
Assessment Questions
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Videos of Expert Instruction
Videos of Expert Instruction
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Find out how math and technology can help you (try to) get away from civilization.
What’s the Distance from Here to the Middle of Nowhere?
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In this video, (approx. 3:40 min), Sal demonstrates and explains how to use the Pythagorean Theorem in order to find the distance between two points on the grid.
Finding Distance with Pythagorean Theorem by Khan Academy
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In this lesson (approx. 630 min), students will learn how to find the distance between two points on a coordinate plane by using right triangles and the Pythagorean Theorem.
Finding Distance Between Points Using the Pythagorean Theorem by LearnZillion
Hook/Performance Tasks
Hook/Performance Tasks
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Illustrative Mathematics: This task looks at some triangles in the coordinate plane and how to reason that these are isosceles.

Finding Isosceles Triangles

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Illustrative Mathematics: The goal is to establish the distance formula between two points in the plane and its relationship with the Pythagorean Theorem. Students should already be familiar with applying the Pythagorean in concrete situations.

Finding the Distance Between Points