# Clip 15/29: Standard 1: Making Sense and Perseverance Using Numeric Patterning Problem 2

## Overview

*Mathematically proficient students start by explaining to themselves the meaning of a problem... Mathematically proficient students can explain correspondences between equations, [and] verbal descriptions...Younger students might rely on using concrete objects or pictures to help conceptualize... They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.*

Fran Dickinson’s students sketch and color code their pattern drawing and use tiles to show what is staying the same and what is changing. In this clip, one student explains to another how blue tiles represent the “old tiles,” or the tiles from the previous stage. This clip is also indicative of standard 5 (use appropriate tools strategically).