© 2012 Common Core, Inc. All rights reserved. commoncore.org
NYS COMMON CORE MATHE MATICS CURRI CULUM A Story of Units
A Story of UnitsFluency in Practice
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Session ObjectivesRevisit yesterday’s module 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
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
AGENDA
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Implementation of a Fluency ProgramOverview of Fluency Activities in A Story of UnitsModeling and Practice: FluencyDifferentiation in Fluency ActivitiesReflection on Preparation and Implementation
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Implementation of a Fluency Routine
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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.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Implementation of a Fluency RoutineAs you begin to implement fluency routines in your classrooms, you can improve this experience by:
• Making deliberate choices.
• Investing in building the routine.
• Including fewer types of exercises.
• Starting with simpler content.
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M 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?
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
AGENDA
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Implementation of a Fluency ProgramOverview of Fluency Activities in A Story of UnitsModeling and Practice: FluencyDifferentiation in Fluency ActivitiesReflection on Preparation and Implementation
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Required Fluencies
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K K.OA.5 Add/subtract within 5
1 1.OA.6 Add/subtract within 10
2 2.OA.22.NBT.5
Add/subtract within 20 (know single-digit sums from memory)Add/subtract within 100
3 3.OA.73.NBT.2
Multiply/divide within 100 (know single-digit products from memory)Add/subtract within 1000
4 4.NBT.4 Add/subtract within 1,000,000
5 5.NBT.5 Multi-digit multiplication
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Fluency Exercises in A Story of Units
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Three general categories of fluency work support student learning in A Story of Units:
• Counting Exercises• Choral and White Board Exchanges • Sprints
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Key Foundational Skills in A Story of Units Module 1
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• 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)
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Module 1 Fluency Exercises
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• What are the foundational skills of this module? How do you see these skills reflected in the fluency exercises?
• What do you notice about the sequence of exercises? How is the complexity increasing?
• How would you categorize the fluency exercises by goals? (maintenance, preparation, anticipation)
• How do specific fluency exercises bridge from the math content in previous lessons and prepare students for success in this lesson?
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
AGENDA
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Implementation of a Fluency ProgramOverview of Fluency Activities in A Story of UnitsModeling and Practice: FluencyDifferentiation in Fluency ActivitiesReflection on Preparation and Implementation
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Grade K-2
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Objective: Sums and Differences to 20
Students will fluently add and subtract within 20.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Modeling and Practice: Fluency
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Math Fingers Flash (Kinder)
Making Ten (Grades 1/2)
Add Ten and Some Ones (Grades 1/2)
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Modeling and Practice: Fluency
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Say Ten Way (Grades 1/2)
Two More (Grades 1/2)
Take 1, 2 Out (Grades 1/2)
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
AGENDA
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Implementation of a Fluency ProgramOverview of Fluency Activities in A Story of UnitsModeling and Practice: FluencyDifferentiation in Fluency PracticeReflection on Preparation and Implementation
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M 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
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M 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
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N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Implementation
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• 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 that you serve.
• Design a fluency exercise to support student learning of the selected mathematical concept.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
AGENDA
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Implementation of a Fluency ProgramOverview of Fluency Activities in A Story of UnitsModeling and Practice: FluencyDifferentiation in Fluency ActivitiesReflection on Preparation and Implementation
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M 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?
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS CO MM O N CO R E M AT H E MAT I C S C U R R I C ULU M A Story of Units
Key Points
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• Fluency exercises provide essential practice so that students will be more successful in each lesson, as well as an energetic start to every day.
• 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.