1. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Focus- Grade 3

2. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objectives Identify key components of the module structure and of each lesson within A Story of Units. Articulate the instructional focus of Module 1, thereby preparing participants to teach and/or prepare their colleagues to teach this module. Examine lesson components including Fluency Practice, Application Problems, Concept Development with Problem Sets, and Student Debrief with Exit Tickets. 2

3. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 3 Review of Module Structure Review of Module Structure Examination of Module Overview, Assessments, and Topic Openers Lesson Study Coherence Across the Module

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5. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Review of Module Structure 5 Module OverviewTopicL1L2L3TopicL4L5TopicL6L7L8

6. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 6 Review of Module Structure Examination of Module Overview, Assessments, and Topic Openers Examination of Module Overview, Assessments, and Topic Openers Lesson Study Coherence Across the Module

7. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Overview 7 Read the descriptive narrative. Make note of important information that will help educators understand the content and prepare to implement this module.

8. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Overview How does this Module compare to your past experiences with this content? How does each component of the Module Overview prepare you to implement this material in your classroom? Turn and talk with others at your table about your observations. 8

9. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Assessments Take 5 minutes to work on the Mid-Module Assessment. How does this task measure the skills and understanding that are addressed in this module? 9

10. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic Openers 10 Read the descriptive narrative. Make note of important information that will help educators implement these lessons.

11. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Topic Openers How does each topic contribute to the overall instructional goal of the module? How are the Topic Openers useful as a planning tool? What is the relationship between the Topic Opener and the other components of the module? 11

12. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 12 Review of Module Structure Examination of Module Overview, Assessments, and Topic Openers Lesson Study Lesson Study Coherence Across the Module

13. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study 13 Examine the development and function of each lesson component. Fluency Practice Application Problems Concept Development Student Debrief How do the lesson components work together to achieve rigor and lead toward the culminating assessment?

14. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Fluency Practice 14 Daily, substantial, sustained, and supported by the lesson structure 10-20 minutes of easy-to-administer activities Energetic activities that allow students to see measureable progress Promotes automaticity – allows students to reserve their cognitive energy for higher-level thinking Support conceptual understanding and application as well as the mathematical practices

15. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Fluency Practice 15 Fluency activities serve a variety of purposes: Maintenance: Staying sharp on previously learned skills Preparation: Targeted practice for the current lesson Anticipation: Building skills to prepare students for the in-depth work of future lessons In fluency work all students are actively engaged with familiar content. This provides a daily opportunity for continuous improvement and individual success.

16. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Fluency Practice In what skills should students be fluent in order to achieve success in this module? At your table, examine the Fluency Practices in this lesson, considering their specific function within the lesson. 16

17. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Application Problems 17 Application involves using relevant conceptual understandings and appropriate strategies even when not prompted to do so. Time allotted to application varies, but is commonly 5-10 minutes of the lesson. The Read, Draw, Write (RDW) process is modeled and encouraged through daily problem solving.

18. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Application Problems 18

19. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Concept Development 19 Constitutes the major portion of instruction and generally comprises at least 20 minutes of the total lesson time. Builds toward new learning through intentional sequencing within the lesson and across the module. Often utilizes the deliberate progression from concrete to pictorial to abstract, which compliments and supports an increasingly complex understanding of concepts. Accompanied by thoughtfully sequenced problem sets and reproducible student sheets.

20. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Concept Development 20 How does the Concept Development work toward the expectations of the problem set?

21. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Student Debrief 21 Includes sample dialogue or suggested lists of questions to invite the reflection and active processing of the totality of the lesson experience. Encourages students to articulate the focus of the lesson and the learning that has occurred. Promotes mathematical conversation with and among students. Allows student work to be shared and analyzed. Closes the lesson with daily informal assessment known as Exit Tickets.

22. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Student Debrief 22 How are the components of rigor expressed in the debrief points? Procedural skill and fluency Conceptual understanding Application

23. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units 23 Balanced, Rigorous Instruction

24. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Biggest Takeaways How does this lesson compare to your past experiences with mathematics instruction? What your biggest takeaways from this session? 24

25. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points 25 Module Overviews and Topic Openers provide essential information about the instructional path of the module and are key tools in planning for successful implementation. Each of the lesson components are necessary in order to achieve balanced, rigorous instruction and to bring the Standards to life. The Exit Ticket is an essential piece of the Student Debrief and provides daily formative assessment. Opportunities to nurture the Standards for Mathematical Practice are embedded throughout the lesson.

26. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 26 Review of Module Structure Examination of Module Overview, Assessments, and Topic Openers Lesson Study Coherence Across the Module

27. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Progression Study 27 What are the Progressions? Explore: Read pp. 25 & 26 Begin: “Levels in Problem Representation and Solution” End: Bottom of p. 26

28. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Progression Study 28 How does Lesson 16 fulfill the expectations described in the Progression?

29. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Coherence Within the Module 29 Analyze the progression of Fluency Activities across the sample of lessons provided. What does the sequence of Fluency Practices accomplish as a whole?

30. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Coherence Within the Module 30 Complete and analyze the selected Problem Sets. In what ways were the writers intentional in the design of this Problem Set?

31. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Biggest Takeaways Stand up! Find someone at another table and share your biggest takeaways from this session. 31

32. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points 32 Share out key points and takeaways.

33. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Next Steps 33 What is your plan for sharing this module with other administrators/teachers? (What is your plan for redelivery of this session?)