1. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module Focus- Grade 5

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

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 examine the Mid-Module Assessment. Consider each item and decide which standards are being addressed and how. How does this assessment measure the skills and understanding addressed in the first half of Module 1? What growth do you see between this mid-module assessment and the final assessment you took earlier? 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 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 8-12 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 16 Rename the units Renaming decimals using various units strengthens student understanding of place value and provides an anticipatory set for rounding decimals in Lessons 7 and 8.

17. © 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. 17

18. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Application Problems 18 In Grade 5 Module 1 lessons, application problems are after the fluency exercises and before the conceptual development Application problems are commonly 7-12 minutes The Read, Draw, Write (RDW) process is modeled and encouraged through daily problem solving Application problems can be powerful formative assessments Students problem solve independently, choosing appropriate strategies and skills, even when not prompted by their teacher

19. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Application Problems 19 Application Problem (8 minutes) Craig, Randy, Charlie, and Sam ran in a 5K race on Saturday. They were the top 4 finishers. Here are their race times: Craig: 25.9 minutes, Randy: 32.2 minutes, Charlie: 32.28 minutes, Sam: 25.85 minutes Who won first place? Who won second place? Third? Fourth?

20. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Concept Development 20 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.

21. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Concept Development 21 Welcome to Ms. Golden’s 5 th grade class Get out your personal board and marker

22. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Concept Development PROBLEM SET Complete the problem set. What do you notice about the sequence of problems? 22

23. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Student Debrief 23

24. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units 24 Homework Exit Ticket Debrief Problem Set Application Fluency Concept Development

25. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Lesson Study: Student Debrief 25 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.

26. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units 26 Balanced, Rigorous Instruction

27. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Biggest Takeaways What is your biggest takeaway from this session? Be ready to share. 27

28. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points 28 Modules 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.

29. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 29 Review of Module Structure Examination of Module Overview, Assessments, and Topic Openers Lesson Study Coherence Across the Module

30. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Progression Study: 10 minutes NUMBERS & OPERATIONS in BASE 10 30 PLEASE stay silent so everyone may focus & read. NBT progression in your binder, 3 rd orange tab. OVERVIEW pp. 1-4 GRADES 4 & 5 pp. 12-19 GRADES K-3 pp. 5-11 (if time permits) As you read, jot down 2 examples of how this module implements the expectations described in the progression.

31. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Progression Study 31 How does this module implement the expectations described in the Progression?

32. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Coherence Within the Module 32 Analyze the progression of each lesson component across the sample of lessons provided in your blue folder. What does the sequence of Fluency Practices accomplish as a whole? How does the sequence of Application Problems connect to topic/module? How does the sequence of Concept Development and Student Debrief build toward mastery of the topic/module?

33. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Coherence Within the Module 33 Analyze the progression of your assigned lesson component across the sample of lessons provided. 1What does the sequence of Fluency Practices accomplish as a whole? 2How does the sequence of Application Problems connect to topic/module? 3How does the sequence of Concept Development and Student Debrief build toward mastery of the topic/module?

34. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Coherence Within the Module 34 Analyze the selected Problem Sets. In what ways were the writers intentional in the design of this Problem Set? How do the Problem Sets build toward the Assessment? Review the problem sets of these lessons: 1.Lesson 1 (Big Binder) 2.Lesson 6 3.Lesson 9 4.Lesson 11 5.Lesson 12

35. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Coherence Within the Module 35 Analyze the selected Problem Sets. In what ways were the writers intentional in the design of this Problem Set? How do the Problem Sets build toward the Assessment?

36. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Biggest Takeaways Turn and talk with a partner at your table about your biggest takeaways from this session. Lightning Share One phrase each 36

37. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points 37 This module is a decimal study. Be prepared to scaffold! Students use visual models (place value mats & number disks, vertical number lines, and area models) to support their place value understanding. Review, extend, recognize, generate, apply

38. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Next Steps 38 How can you transfer what you know about the structure of a module and its key components to next steps in the planning process? What is your plan for sharing this module with other administrators/teachers? What is your plan for redelivery of this session?