Lesson Objective

Construct right triangles on a coordinate grid to calculate the straight-line distance between any two ordered pairs using the Pythagorean Theorem.

How can we find the exact distance between two points on a grid without counting diagonally or memorizing a new formula?

How do horizontal ("run") and vertical ("rise") changes on a coordinate plane relate to the legs of a right triangle?

How can we connect exponent rules, scientific scales, radicals, and right triangles to solve complex structural problems?

Coordinate Plane, Ordered Pair, (x, y) Coordinates, Distance, Delta (Change in x/y), Rise, Run, Absolute Value

8.G.B.8 (Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.)

Review of: 8.EE.A.1`, `8.EE.A.3`, `8.EE.A.4`, `8.NS.A.1`, `8.NS.A.2`, `8.G.B.6`, and `8.G.B.7`

replacing the abstract Distance Formula with a visual Pythagorean Theorem approach.

DOK Level: 2 (Skills and Concepts) and 3 (Strategic Thinking/Assessment Synthesis)

Students often try to find distance by counting grid squares diagonally across the line segment rather than creating horizontal and vertical component legs.

Provide sheets with high-contrast coordinate grids.

Exit Ticket

Unit Assessment