1. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Fluency in Practice

2. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Session Objectives Revisit Module 1 in order to further examine the lesson component of Fluency in preparation to: Model, teach, and practice the instructional routines that will support implementation of A Story of Units Differentiate according to the needs of diverse learners and varied student populations in any given district, school, or classroom 2

3. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 3

4. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Implementation of a Fluency Routine 4 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.

5. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Implementation of a Fluency Routine As you begin to implement fluency routines in your classrooms, you can improve this experience by: Making deliberate choices. Starting with simpler content. Investing in building the routine. Including fewer types of exercises. 5

6. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Implementation of a Fluency Routine What concerns do you have about implementing a fluency program as you introduce A Story of Units? What steps can we take to overcome these concerns our group has identified? 6

7. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 7

8. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Required Fluencies 8 K K.OA.5Add/subtract within 5 1 1.OA.6Add/subtract within 10 2 2.OA.2 2.NBT.5 Add/subtract within 20 (know single-digit sums from memory) Add/subtract within 100 3 3.OA.7 3.NBT.2 Multiply/divide within 100 (know single-digit products from memory) Add/subtract within 1000 4 4.NBT.4Add/subtract within 1,000,000 5 5.NBT.5Multi-digit multiplication

9. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Fluency Exercises in A Story of Units 9 General categories of fluency activities in Grade 3-5: Counting exercises Choral response Personal marker board activities Sprints

10. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Foundational Skills in Modules 1 (Grade 2 Module 2) 10 K – Counting to 5, counting consecutively, and recognizing numerals 1 – Counting a set of objects or pictures and assigning a numeral, and counting on in a number sequence 2 – Adding and subtracting units such as tens and centimeters, and using rulers to count, add, and subtract 3 – Group counting (skip counting) to lay the foundation for understanding multiplication as repeated addition 4 – Multiplying and dividing by 10, and decomposing numbers into units 5 – Renaming decimals in various place value units (3.14 = 3 ones 14 hundredths = 31 tenths 4 hundredths = 314 hundredths)

11. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 11

12. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Grade 4 Module 1 – Lesson 1 12 Objective: Interpret a multiplication equation as a comparison. Explore multiplication by 10, 100 and 1000 in the context of “______times as large.” Fluency Exercise: Place Value Materials: Personal Board or Place Value Chart

13. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module 1 Fluency Exercises 13 Take a moment to review the fluency exercises in the lessons in your Module 1. How do you see the foundational skills reflected in the fluency exercises? How is the complexity increasing? How might you categorize the fluency exercises by goals? How do specific fluency exercises bridge from the math content in previous lessons and prepare students for success in this lesson?

14. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Module 1 Fluency Practice 14 Now that you have participated in a fluency exercise, and reviewed the exercises in your Module 1, It is time to practice!

15. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 15

16. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Differentiation in Fluency Practice How might you modify fluency exercises in order to meet the needs of a specific population, including: English language learners Students above grade level Students below grade level Students with learning disabilities 16

17. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Differentiation in Fluency Practice Some possibilities for adapting fluency exercises include: Modeling with visual tools Adapting the length and pace of exercise Using content from lower or higher grades Varying between independent, partner, small group, and whole class activities 17

18. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Implementing Module 1 18 Select one of the mathematical concepts addressed in Module 1 of your selected grade level. Consider the needs of one of the specific groups of students you serve. Design a fluency exercise to support student learning of the selected mathematical concept.

19. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units AGENDA 19

20. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Reflection on Preparation and Implementation Take a minute to reflect on what you have learned about implementing a fluency program and differentiating fluency exercises in order to meet the needs of the diverse learners that you serve. How will you use what you have learned today? 20

21. © 2012 Common Core, Inc. All rights reserved. commoncore.org NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units Key Points 21 Fluency exercises provide a confidence-building start to math time, as well as essential practice so that students will be more successful in each lesson. Carefully introducing students to fluency exercises at the beginning of the school year is an investment in their success throughout the year. Deliberate choices, including considering the key foundational fluencies for each module and the specific needs of your students, will go a long way towards your students’ learning.