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?

from Youcubed.org

https://www.youcubed.org/tasks/taxicab/

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

Samples