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)
- 4.0 Unpacking MP4 and MP5
- 4.1 Introduction to Modeling with Mathematics (MP4)
- 4.1.1 Examples of Modeling with Mathematics
- Meeting the Needs of All Learners
- 4.1.2 Summary and Reflection
- 4.2 Modeling with Mathematics at Different Grade Level Spans
- 4.3 Introduction to Using Appropriate Tools Strategically (MP5)
- 4.4 Use of Tools at Different Grade Level Spans
- 4.5 Summary and Reflection
- 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)
Meeting the Needs of All Learners
Note the resources and strategies that make the Tiling Pool Problem accessible to all learners, especially English learners and students receiving special education services. The supports below provide options for motor skills, visual, auditory, and language flexibility:
- The illustrations of the pools and pictures of the backyard help students visualize the problem.
- The grid paper allows students to draw pictures of the pools, whereas tiles permit students to construct the pools to aid in understanding.
When students work in groups to problem solve they are provided with an opportunity to engage in discourse about mathematics.
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.
