Table of Contents

Unit 2: Overarching Habits of Mind (MP1 and MP6)

2.1 Sense Making and Mindsets

Time to Try

Take a few minutes to work on the following problem. Keep track of your thinking by recording how you make sense of the problem and what makes you persevere until you have an answer.

How many triangles are in the diagram below?

5-level Sierpinski Triangle

The diagram is called Sierpinski’s Triangle and is an example of a fractal.  A fractal is a geometric pattern that is repeated in ever-smaller scale to produce irregular shapes and surfaces that cannot be represented by classical geometry.  

Source: The Free Dictionary

Time to Reflect

In your Metacognitive Journal, reflect on what kept you interested in solving this problem.