N YS CO MMO N COR E MAT

N YS CO MMO N COR E MAT

N YS CO MMO N COR E MAT H E MAT I C S C U RR I C U LU M A Story of Units Module Focus Grade 5 Module 2 2012 Common Core, Inc. All rights reserved. commoncore.org A Story of Units N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Session Objectives Draw connections between the progression documents and the careful sequence of mathematical concepts that develop within each module.

Articulate how the topics and lessons promote mastery of the focus standards and how the module addresses the major work of the grade. Prepare to implement the module and make appropriate instructional choices to meet the needs of students while maintaining the balance of rigor that is built into the curriculum. 2 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units

Participant Poll Classroom teacher Math Specialist/Math Coach Principal District leader BOCES representative 3 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

A Story of Units AGENDA Study of the Progression Document Examination of Module Overview Exploration of Selected Lessons Examination of Assessments Bringing the Module to Life 4 2012 Common Core, Inc. All rights reserved. commoncore.org 5 A Story of Units N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M Numbers & Operations in Base 10 Progression Study

At your table, split into four teams: Team A: pp. 12-13 Team C: pp. 16-17 Team B: pp. 14-15 Team D: pp. 18-19 First, scan all of the visuals on pages 12-15. Then, read your section silently. After reading independently, discuss your section with your teammate(s). 6 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

A Story of Units Numbers & Operations in Base 10 Progression Study As you read your portion of the NBT Progression, highlight the information relevant to the content of this module. Consider how visual models and a solid understanding of our base 10 number system (5.NBT.2) can contribute to student understanding of the multiplication and division algorithms. 7 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Progression Study

Discuss what you have read with your table. How will visual models and a solid understanding of the structure of our Base 10 Number System (5.NBT.2) support student understanding of the multiplication and division algorithms? 8 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units AGENDA Study of the Progression Document Examination of Module Overview Exploration of Selected Lessons Examination of Assessments

Bringing the Module to Life 9 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Review of Module Structure 10 2012 Common Core, Inc. All rights reserved. commoncore.org A Story of Units N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

Grade 5 Module 2 Overview NewYorkStateCommonCore 5 GRADE MathematicsCurriculum GRADE5MODULE2 Students apply the patterns of the baseten system to mental strategies and the multiplication and division algorithms. Table of Contents GRADE5MODULE2 Multi-Digit Whole Number and Decimal Fraction Operations: Reasoning about Partial Products and

Quotients ModuleOverview........................................................................................................... i Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication ............ 2.A.1 Topic B: The Standard Algorithm for Multi-Digit Whole Number Multiplication... 2.B.1 Topic C: Decimal Multi-Digit Multiplication ........................................................... 2.C.1 Topic D: Measurement Word Problems with Whole Number and Decimal Multiplication ........................................................................................... 2.D.1 Topic E: Mental Strategies for Multi-Digit Whole Number Division....................... 2.E.1 Topic F: Partial Quotients and Multi-Digit Whole Number Division....................... 2.F.1 Topic G: Partial Quotients and Decimal Multi-Digit Division ..................................................................................................................2.G.1 Topic H: Measurement Word Problems with Multi-Digit Division..........................2.H.1 ModuleAssessments.............................................................................................. 2.S.1 Module2: Date: Multi-Digit Whole Number and Decimal Fraction Operations: Reasoning about Partial Products and Quotients 6/12/13

i 2012 Common Core, Inc. All rights reserved. commoncore.org 11 2012 Common Core, Inc. All rights reserved. commoncore.org A Story of Units N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M Grade 5 Module 2 Overview NewYorkStateCommonCore 5 GRADE

Review Grade 5 Module 2 Overview. MathematicsCurriculum GRADE5MODULE2 Table of Contents GRADE5MODULE2 Multi-Digit Whole Number and Decimal Fraction Operations: Reasoning about Partial Products and Quotients ModuleOverview........................................................................................................... i Make note of important information that will help educators understand the

content and prepare to implement this module. Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication ............ 2.A.1 Topic B: The Standard Algorithm for Multi-Digit Whole Number Multiplication... 2.B.1 Topic C: Decimal Multi-Digit Multiplication ........................................................... 2.C.1 Topic D: Measurement Word Problems with Whole Number and Decimal Multiplication ........................................................................................... 2.D.1 Topic E: Mental Strategies for Multi-Digit Whole Number Division....................... 2.E.1 Topic F: Partial Quotients and Multi-Digit Whole Number Division....................... 2.F.1 Topic G: Partial Quotients and Decimal Multi-Digit Division ..................................................................................................................2.G.1 Topic H: Measurement Word Problems with Multi-Digit Division..........................2.H.1 ModuleAssessments.............................................................................................. 2.S.1 Module2: Date: Multi-Digit Whole Number and Decimal Fraction Operations: Reasoning about Partial Products and Quotients

6/12/13 i 2012 Common Core, Inc. All rights reserved. commoncore.org 12 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M 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. 13 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Topic Openers

Read the eight Topic Openers of Module 2. Consider how each topic builds on previous topics and lays the foundation for future topics. Make note of important information that will help educators implement these lessons. 14 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

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 for this module? How does each topic build on the topics before it and contribute to the goals of future topics?

15 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units AGENDA Study of the Progression Document Examination of Module Overview Exploration of Selected Lessons Examination of Assessments Bringing the Module to Life 16 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

A Story of Units Lesson Study Fluency Practice Application Problems Concept Development Student Debrief 17 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

A Story of Units Balanced, Rigorous Instruction 18 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Module 2 Lesson Study 1. Lessons 2 and 17 Estimate products and quotients using knowledge of basic multiplication facts and place value patterns 2. Lessons 7 and 11 Area diagrams, the distributive property, and partial products lay the foundation for the multiplication algorithm

3. Lessons 23 and 26 Long division, decimals, and applications 19 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Module 2 Lesson Study: Lessons 2 & 17 Estimate products and quotients using basic multiplication facts & place value patterns 20 2012 Common Core, Inc. All rights reserved. commoncore.org

N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Lunch Break Lunchwork: 1. Lesson 3 Tape Diagrams & Numerical Expressions 2. Module 2 Assessments 21 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Module 2 Lesson Study: Lessons 7 & 11

Area diagrams, the distributive property, and partial products lay the foundation for the multiplication algorithm. 22 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Module 2 Lesson Study: Lessons 23 & 26 Dividing whole numbers and decimals using the division algorithm with 2-digit divisors. 23

2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Biggest Takeaways How do these lessons compare to your past experiences with the teaching these concepts? What have you learned about the structure of the Module, the priorities of the lessons, and the development of mathematical knowledge? Turn and talk with a partner at your table

about your biggest takeaways from this session. 24 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Key Points Knowledge of multiplication facts and understanding of place value patterns are indispensable in mastering multiplication and division. Visual tools such as the place value chart with disks, the area

model, tape diagrams, and number bonds will support student understanding. The lessons are intentionally designed to progress from simple to complex (whole numbers to decimals) and concrete to abstract (visuals to algorithms). 25 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units AGENDA Study of the Progression Document Examination of Module Overview

Exploration of Selected Lessons Examination of Assessments Bringing the Module to Life 26 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Grade 5 Module 2 Assessments MID-MODULE ASSESSMENT Follows Topics A through D (15 lessons), which provide a sequential study of multiplication. END-MODULE ASSESSMENT Follows Topics E though H (14 lessons), which provide a sequential study of

division. 27 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Grade 5 Module 2 Assessments Complete the End of Module Assessment Label each problem with the standard(s) it addresses Refer to the Module 2 Overview for this Modules focus standards. Be prepared to discuss how each assessment task addresses these standards. 28

2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Grade 5 Module 2 Assessments How do these assessment tasks measure the skills and understandings addressed in Module 2? How will a strong understanding of these assessments prepare educators to implement the lessons in this module?

Turn and talk with others at your table about your observations. 29 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Module 2 Assessments: Rubrics Read each rubric carefully Score sample work according to the rubric 30 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M

A Story of Units Module Assessments: Reflection Which questions do you anticipate will be the most challenging for your students? What concepts and skills would you emphasize during your instructional time in order to ensure your students success on these assessments? 31 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units

AGENDA Study of the Progression Document Examination of Module Overview Exploration of Selected Lessons Examination of Assessments Bringing the Module to Life 32 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Implementation and Differentiation Now that you are sitting with others in the same role, 1. Discuss your plans for implementation and your main differentiation needs with your colleagues. 2. Identify foundational content areas that will require

remediation this fall. 3. Design a specific idea to support the success of your students and/or your colleagues as you implement this module. 33 2012 Common Core, Inc. All rights reserved. commoncore.org N YS C O M M O N C O R E M AT H E M AT I C S C U R R I C U L U M A Story of Units Biggest Takeaways / Next Steps Take a minute to reflect on your biggest takeaway from this session.

Turn and talk with a partner at your table. 34 2012 Common Core, Inc. All rights reserved. commoncore.org Pulse Check Please go to http://www.engageny.org/resource/network-t eam-institute-materials-july-8-12-2013 and fill out the online plus-delta for the P-5 Math session. Thank You! CONFIDENTIAL DO NOT CIRCULATE EngageNY.org

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