## Taxicab

Source: Image by azmeesh from Pixabay

**Type:** Mini-lesson

**Theme:** Puzzles and Games

**Grades:** 5, 6, 7, 8, 9, 10

**Source:** YouCubed.org

**Learning Target:** Students will look for patterns and construct equations to solve a discrete mathematical problem.

Instructions

### Directions:

- How many different pathways exists to get the taxi from point A to point B?
- You can only move directly to the right or directly You cannot move left, up, or diagonally.

### Task

- What do you notice & wonder?
- Can you find how many paths there are in different dimension grids? What about a 2×2? 3×3? 4×4? 4×6?
- Can you find a pattern for an m x n grid?
- Can you make a visual proof?

Exit Ticket

CCSS Math Practice

- I can make sense of problems and persevere in solving them.
- I can look for and express regularity in repeated reasoning.

NGSS Crosscutting Concepts

- Patterns