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
- 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 4: Modeling and Using Tools (MP4 and MP5)
4.2.5 Summary
Modeling with mathematics looks different at each of the grade level spans.
- In the early grades, students directly model the actions and relationships described in problems.
- In the middle grades, the habit of problem posing, creating representations, explaining connections, and testing and checking are central to the development of interesting and new mathematics and applications.
- By high school, students use modeling as a process of choosing appropriate mathematics and statistics to analyze empirical situations, aid understanding, and improve decisions.
In your Metacognitive Journal, write about how modeling with mathematics allows students to reason effectively.
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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.
