# Send Your Students on a Treasure Hunt Using the Pythagorean Theorem: Eighth Grade Math Lesson

You are hunting for the hidden treasure. On the coordinate grid below, X marks the spot for the location of the treasure. Find the distance between your location and the location of the treasure.

**Learning Objective:** The lesson is aligned to the Common Core State Standards for Mathematics - 8.G.8 Geometry - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

**Materials Required:** graph paper, calculator

## Lesson Procedure

**1.** Your location is (6, 9). Plot the location on the coordinate grid below. Label the point, *P*.

**2.** The location of the treasure is (3, 5). Plot the location on the coordinate grid. Label the point, *X*.

**3.** Draw a right triangle using these points as two of the corners of the right triangle.

**4.** Label the horizontal line segment, *a*. Label the vertical line segment, *b*.

**5.** Find the length of side *a* of the right triangle by subtracting the *x*-coordinates of the two points, *x2 - x1* = *a*

**6.** Find the length of side *b* of the right triangle by subtracting the *y*-coordinates of the two points, *y2 - y1* = *b*

**7.** Use the Pythagorean Theorem, a2 + b2 = c2, to find the length of side *c* of the right triangle. The length of side *c* is the distance between your location and the location of the treasure. Calculate the length to the nearest tenth.

**Answer:** 5

## Individual or Group Work

Provide the following worksheet to your students that sends them on a treasure hunt. Students will determine which treasure hunter is closest to the treasure by using the Distance Formula, d = √((_x_2 - _x_1) + (_y_2 - _y_1) ) and the Pythagorean Theorem, a2 + b2 = c2.

**Pythagorean Theorem Treasure Hunt Worksheet**

## This post is part of the series: Teaching the Pythagorean Theorem.

This series of lesson plans is intended for an eighth grade math class. Find a series of lessons that will teach your students about the Pythagorean theorem.

- Lesson 1: Explaining the Proof of the Pythagorean Theorem
- Lesson 2: Finding the Missing Lengths using the Pythagorean Theorem
- Lesson 3: Protecting the Castle using the Pythagorean Theorem
- Lesson 4: Hunting for Treasure using the Pythagorean Theorem
- Lesson 5: Playing a Video Game using the Pythagorean Theorem