Math Lesson Plan · Grades 6–10

Distance Between Points Lesson

Teach students to find the distance between two points on the coordinate plane. The lesson derives the distance formula from the Pythagorean theorem and applies it to points in all four quadrants. Includes 20 practice problems and answer key.

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Subject

Math

Grades

Grades 6–10

Skill Focus

Distance formula, coordinate plane, geometry, Pythagorean theorem, math

Lesson Length

30–45 minutes

Lesson Overview

Calculating Distance Between Two Points

The distance between two points (x₁, y₁) and (x₂, y₂) is found using the distance formula: d = √((x₂ − x₁)² + (y₂ − y₁)²). This formula is derived from the Pythagorean theorem applied to the right triangle formed by the two points. The lesson introduces the formula and walks through its derivation.

The six-page lesson covers the distance formula with worked examples using both positive and negative coordinates. Students complete 20 practice problems and check their work using the answer key on page 6.

How to Use This Lesson

1. Derive the distance formula from the Pythagorean theorem (pages 1–2). Use a right triangle on the coordinate plane to show the connection.

2. Work through distance formula examples together (pages 3–4). Practice with points in all four quadrants.

3. Assign the 20 practice problems (page 5) independently. Review answers using the key on page 6.

Printable Resource

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Full Member Resource · Printable PDF · 6 pages