Table of Contents
- Content Home
Welcome
Module Overview- Pre-Assessment
- Unit 1: Teaching and Learning the Standards for Mathematical Practice
- Unit 2: Overarching Habits of Mind: MP1 and MP6
- 2.0 Unpacking MP1 and MP6
- 2.1 Sense Making and Mindsets
- 2.2 Student Self-Efficacy and Perseverance (MP1)
- 2.3 Attending to Precision (MP6)
- 2.4 Summary and Reflection
- Unit 3: Reasoning and Explaining (MP2 and MP3)
- 3.0 Unpacking MP2 and MP3
- 3.1 Beginning to Reason: Definitions and Conjectures
- 3.2 Explaining and Justifying
- Taxonomy of Questions in Mathematical Discourse
- 3.3 Identifying Flaws in Reasoning
- 3.4 Making Arguments More Viable
- 3.5 Summary
- Unit 4: Modeling and Using Tools (MP4 and MP5)
- Unit 5: Seeing Structure and Generalizing (MP7 and MP8)
- Unit 6: Summary and Next Steps
- Post-Assessment
Certificate of Completion- Glossary
Resources- Acknowledgements
Module Evaluation
Unit 2: Overarching Habits of Mind (MP1 and MP6)
2.1 Sense Making and Mindsets
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?
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
In your Metacognitive Journal, reflect on what kept you interested in solving this problem.
Mathematics: Kindergarten through Grade Twelve (K–12) Standards for Mathematical Practice. Brought to you by the California Department of Education, the Regents of the University of California, and the California Mathematics Project.
For questions or feedback, please e-mail commoncoreteam@cde.ca.gov.
