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Common Core Mathematics in a PLC at Work™, High School
This teacher guide illustrates how to sustain successful implementation of the Common Core State Standards for mathematics for high school. Discover what students should learn and how they should learn it. Comprehensive research-affirmed analysis tools and strategies will help you and your collaborative team develop and assess student demonstrations of deep conceptual understanding and procedural fluency.
A Joint Publication With the National Council of Teachers of Mathematics
Benefits
- Discover the five essential paradigm shifts necessary to implement the CCSS for mathematics.
- Receive guidance on forming and sustaining collaborative teams in a Professional Learning Community at Work™ culture.
- Develop a “less is more” content mindset: fewer standards will result in the opportunity of time needed for deeper rigor and conceptual understanding work with students.
- Gain helpful formative assessment strategies for development of student proficiency in the Standards for Mathematical Practice.
- Access dozens of tools, activities, examples, resources, and reproducibles to help teachers and teams analyze, interpret, and implement the Common Core Standards expectations for instruction and assessment.
- Examine the research-affirmed foundation of mathematics content and process standards from 1989 to 2010, and deepen your understanding of the Common Core expectations.
TABLE OF CONTENTS
Chapter 1: Using High-Performing Collaborative Teams for Mathematics
Chapter 2: Implementing the Common Core Standards for Mathematical Practice
Chapter 3: Implementing the Common Core Mathematics Content in Your Curriculum
Chapter 4: Implementing the Teaching-Assessing-Learning Cycle
Chapter 5: Implementing Required Response to Intervention
Epilogue: Your Mathematics Professional Development Model
Appendix A: Changes in Mathematics Standards, 1989–2012
Appendix B: Standards for Mathematical Practice
Appendix C: Standards for Mathematical Content, High School
PRINTABLE REPRODUCIBLES
Chapter 1
- Figure 1.1: High School Collaborative Team Expectations and Activities
- Figure 1.2: How to Read the CCSS Mathematics Standards for High School
- Table 1.1: The Seven Stages of Teacher Collaboration Diagnostic Tool
- Figure 1.3: Setting High School Teacher Team Collective Commitments Protocol
- Figure 1.4: Sample Team Meeting Agenda
- Figure 1.5: Sample Team Meeting Minutes
- Figure 1.6: Options for Scheduling Teacher Collaboration Time
- Figure 1.7: High-Leverage Actions of High School Mathematics Collaborative Teams
Extending My Understanding
- The Five Disciplines of PLC Leaders
- Chicago Lesson Study Group
- All Things PLC
- The Educator's PLN
- The Center for Comprehensive School Reform and Improvement
- Tools for Principals & Administrators
- Learning Forward
- Learning by Doing: A Handbook for Professional Learning Communities at Work™
- The Mathematics Common Core Toolbox
Chapter 2
- Figure 2.4: Sample Geometric Probability Problem
- Figure 2.5: Sample Conjecture About a Wikipedia Claim
- Table 2.1: Predicting World Population
- Table 2.3: Elements of an Effective High School Mathematics Classroom Lesson Design
- Figure 2.8: CCSS Mathematical Practices Lesson-Planning Tool
- Sample Accelerated Geometry Assignment Sheet
- Sample Algebra Assignment Sheet
- Sample Honors Algebra Assignment Sheet
Extending My Understanding
- Discourse: Questioning
- Common Core Standards for Mathematical Practice
- National Council of Teachers of Mathematics Illuminations
- Tools for the Common Core Standards
- Common Core Math Initiative
- Adlai E. Stevenson High School District 125 Mathematics Department
Chapter 3
- Figure 3.1: How to Read the High School Standards
- Figure 3.2: Questions to Compare PSSM and CCSS
- Table 3.3: Domain Analysis Tool for the CCSS
- Table 3.4: An Example of Unpacking a CCSS Domain
- Table 3.7: Sample Algebra Unit on Equations and Inequalities and Sample Algebra Unit on Statistics and Matrices
Extending My Understanding
- CCSS Mathematics Curriculum Materials Analysis Project
- Illustrative Mathematics
- Progressions Documents for the Common Core Mathematics Standards
Chapter 4
- Figure 4.1: The PLC Teaching-Assessing-Learning Cycle
- Figure 4.2: Sample Domain and Cluster in the High School CCSS for Mathematics
- Figure 4.3: Aligning Learning Targets With Assessment Instruments and Formative Assessment Tasks
- Figure 4.5: Assessment Instrument Quality—Evaluation Tool
- Figure 4.6: Formative Assessment Strategies for Student Action
- Figure 4.7: Sample Mathematical Task—Reasoning With Square Roots
- Figure 4.8: In-Class Formative Assessment Strategies for Student Action
- Figure 4.9: Sample Geometry Student Self-Assessment Goal-Setting Worksheet
- Figure 4.10: Critical Lesson-Planning Questions
- Figure 4.11: A Collaborative Team Analysis of Grading Practices
- Sample Learning Target Self-Assessment
- Sample Algebra 2 Unit Test Rubric: Solving Systems of Equations
Extending My Understanding
- Math Common Core Coalition
- Mathematics Assessment Project
- Partnership for Assessment of Readiness for College and Careers
- Smarter Balanced Assessment Consortium
- Public Lessons Numerical Patterning
Chapter 5
- Table 5.1: Equity Reflection Activity
- Table 5.2: High-Quality Data Checklist
- Table 5.3: Tool for Your Differentiated Response to Learning
- Table 5.4: School and District Intervention Reflection Questions
- Table 5.6: Tier 1, Tier 2, or Tier 3 Diagnostic Tool
- Table 5.7: Intervention-Planning Tool
- Figure 5.3: Tool to Plan for R2TI
Extending My Understanding
- RTI Action Network High School Resources
- Introduction to the Classroom-Focused Improvement Process
- National Center on Response to Intervention
- National Council of Supervisors of Mathematics
- Solution Tree RTI Books and Reproducibles
Appendices
- Figure E.1: PLCs at Work Implementing Common Core Mathematics
- Table A.1: Mathematics Content—Principles and Standards for School Mathematics and the Common Core State Standards
- Table A.2: Mathematics Process—Principles and Standards for School Mathematics and the Common Core State Standards Mathematical Practices
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