Lesson objective: Apply the Pythagorean Theorem to distance in 3D space.

This lesson provides an opportunity for students to apply their knowledge and understanding of calculating distance to a real-life situation. Students are asked to find the diagonal space in gift boxes to see if gifts with certain lengths will fit inside.

Key Concept students will use:

- We can use the relationships shown in the Pythagorean Theorem to solve problems given particular pieces of information about the problem.

Skills students will use:

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they develop a strategy to find distance in three dimensions, then apply that strategy to see if the gifts will fit in the boxes.

**Key vocabulary: **

- 3-dimensional space
- diagonal
- Pythagorean Theorem