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© 2012 Common Core, Inc. All rights reserved. commoncore.org
NYS COMMON CORE MATHEMATICS CURRICULUM A Story of Units
A Story of UnitsCore Advancement Professional Development
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Introductions
2
Presenters: • Candice Hartley • Laura Hill • Jamie Carruth • Emily Hand
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
A Story of Units vs. Engage NY
3
What is A Story of Units?• The name of the PK-5 Math Curriculum
What is EngageNY? • New York State’s Department of Education’s Website• Equivalent to www.louisianabelives.com
What is Common Core, Inc.?• A team of mathematicians & educators who wrote the PK-12
curriculum with the guidance of the CCSS writers.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Session Objectives
• Present an overview of how to implement A Story of Units:⁻ Identify the Standards and their accompanying Progressions, as well
as the Instructional Shifts as the foundation of A Story of Units.
⁻ Recognize the coherence within and across all grades K-5.
⁻ Describe how A Story of Units it builds on prior knowledge and supports future learning.
⁻ Develop a plan for immediate implementation, on-going support and continuous feedback.
4
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Agenda
1. What is A Story of Units 2. Lesson Structure 3. The CCSS Approach to Mathematical Models4. Curriculum Overview 5. Implementation
5
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
What is A Story of Units?
6
• A PK-5 math curriculum developed in close consultation with the writers of the CCSS. (p.3)
• Not only built entirely around the CCSS, but the progression documents as well.
• Based on the principle that mathematics is most effectively taught as a logical engaging story with the main character being “the unit”.
• Skills consistently build on prior knowledge and support future learning rather than being taught in isolation. (p.4)
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
7
Pages 4-9
In the How To Document
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Math Practices
8
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Assessments
9
Formative Assessments• Problem Sets • Exit Tickets• Homework Formative or Summative• Mid-Module Assessment TasksSummative • End of Module Assessment Tasks
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
PARCC Type I, II & III Tasks
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• Type I• Computational problems, fluency exercises, & applications
including one-step and multi-step word problems.
• Type II • Requires students to demonstrate reasoning skills, justify their
arguments, and critique the reasoning of others.
• Type III• Students model real-world situations using mathematics as they
demonstrate more advanced problem solving skills.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Scaffolding
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• All students must have the opportunity to learn and meet the high standards if they are to access the knowledge and skills needed to be college and career ready.
• Accommodations cannot be just an extra set of resources for a particular set of students.
• Must be folded into the curriculum in such a way that it becomes part of its DNA.
• Research provided by Universal Design for Learning
Pages 14-15
In the How To Document
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Scaffolding Continued
12
• The scaffolds/accommodations integrated into A Story of Units do not alter the instructional level, content or performance criteria.
• Provides students with choices with how they access content and demonstrate their knowledge and ability.
• Basically, faithful adherence to the modules IS the primary scaffolding tool!!
Pages 14-15
In the How To Document
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
What are the built in accommodations?
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1. Provide Multiple Means of Representationa. Connect language with pictorial representation (ELL)b. Allow creativity in expression & modeling solutions (Above Level)
2. Provide Multiple Means of Action & Expression a. Accomplish within a time frame as opposed to a task frame (LD)b. Get students up and moving “Show me an obtuse angle” (Below Level)
3. Provide Multiple Means of Engagement a. Peer tutoring to provide opportunities for critiquing the reasoning of others &
justifying solutions (Below Level)b. Provide a variety of ways to respond (ie. Choral, oral, personal white board,
fingers, pictorial models (ELL)
Pages 16-19
In the How To Document
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Lesson Structure
14Pages 21-26
In the How To Document
Fluency •Maintenance, Preparation, & Anticipation.
Application •Apply math concepts in “real-world” situations
Concept Development•Main component•Builds on prior knowledge and supports future learning
Student Debrief •Students articulate the focus of the lesson and the learning that has occurred.
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Grade 4 Module 1
15
• Module Overview • Lesson 1 & 2• Instructional Strategy Breakout
Session
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Curriculum Overview “Year at a Glance”
16
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Philosophy and Workflow of A Story of Units
17
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
PK-12 Coherence
18
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
A Story of Units
19
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
A Story of Ratios
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
A Story of Functions
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© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Materials List
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• Talk to your table and take inventory. • What do you have? • What do you need? • What materials can you move from one grade-
level to another? • What materials can you modify, create or
substitute?• What materials do you need to purchase?
© 2012 Common Core, Inc. All rights reserved. commoncore.org
N YS C O M M O N CO R E M AT H E M AT I C S C U R R I C U LU M A Story of Units
Next Steps
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Round Table Discussions:• What questions were answered for you?• What does your redelivery plan look like?