Students will practice the Pythagorean Theorem through the scenario of playing a video game. Have your students find the distance between their location and the location of the exit door to the next level of the game.

- slide 1 of 3
Students will have fun using the Pythagorean Theorem to find the distance between two points plotted on a coordinate grid.

**Lesson 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 - slide 2 of 3
### Lesson Procedure:

**1.**The location of the exit door is (7, 8). Plot the location on the coordinate grid below. Label the point, X.**2.**Your location is (4, 6). Plot the location on the coordinate grid. Label the point,*P*.**3.**On the coordinate grid, 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,*x*_{2}-*x*_{1}=*a***6.**Find the length of side*b*of the right triangle by subtracting the*y*-coordinates of the two points*, y*_{2}-*y*=_{1}*b***7.**Use the Pythagorean Theorem, a^{2}+ b^{2}= c^{2}, 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 exit door. Calculate the length to the nearest tenth.**Answer:**3.6 - slide 3 of 3
### Individual or Group Work:

This lesson should help students discover the relationship between the Distance Formula,

d = √((*x*-_{2}*x*) + (_{1}*y*-_{2}*y*)) and the Pythagorean Theorem, a_{1}^{2}+ b^{2 }= c^{2}. Have students complete the following work sheet for further practice.**Which Trap Door is Closest to Jack? Worksheet**After completing all the lessons in this series, you can assess your student's knowledge using

**this downloadable assessment**.

#### Teaching 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