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1 Common Core Lite Mathematics Brought to you by….

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Provide an overview of the Common Core State Standards for Mathematics. Conduct this workshop with a process that you can replicate with large or small groups of teachers. Provide you with the materials necessary to get all K-12 teachers ‘dipped’ into the standards. 2

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4 1. Our focus today is to learn HOW to investigate the Common Core State Standards for math. 2. You will not investigate all of the standards today. You will be given a process and materials to duplicate today’s process in your school. 3. WI has Early Learning Standards that address expectations for children birth to the beginning of first grade. When developing curriculum and assessment practices for 4K and 5K, the WMELS need to be considered along side the CCSS

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1.An open and willing mind 2.The materials at your table 5

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Practices Understandings Connections 6

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The CCSS mandates the student learning outcomes for every grade level/grade band. Students will be tested and instructional effectiveness will be measured based on CCSS (beginning 2015). Federal funding is tied to CCSS adoption, implementation, and accountability. ELA and Mathematics CCSS are just the beginning. Science and Social Studies are in the draft stage…more subject area standards are being developed. CCSS create an opportunity for educators to talk and share knowledge across state lines. 7

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…the acquisition of the knowledge and skills a student needs to enroll and succeed in credit- bearing, first-year courses at a postsecondary institution (such as a two- or four-year college, trade school, or technical school) without the need for remediation. (ACT) The standards were built on this vision for every single student who graduates from high school. 8

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◦ Foundation in whole numbers, addition, subtraction, multiplication, division, fractions and decimals ◦ Procedural as well as conceptual ◦ Hands-on ◦ Apply mathematical ways of thinking to real world issues and challenges ◦ Rigorous definition of college and career readiness ◦ Emphasize mathematical modeling 9 Activity 1

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10 Structure of the Standards Standards for Mathematical Practice Carry across all grade levels Describe habits of mind of a mathematically expert student 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments & critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Standards Document – page 6

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K-8 standards presented by grade level Organized into domains that progress over several grades Grades K-8 introductions give 2 to 4 domains at each grade level High school standards presented by conceptual theme (Number & Quantity, Algebra, Functions, Modeling, Geometry, Statistics & Probability) 11 Refer to the Standards Documents

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Provide a sense of … ◦ the sophistication for mathematical understanding at the grade level. ◦ the learning progressions for the grade. ◦ extensions from prior standards. ◦ what’s important at the grade level. 12

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13 Grade Level Intent Grade 1 Narrative

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14 Intent - File Cabinet Cluster- Hanging Files Domain- Drawer File Folders – Grade Level Standards The Math Structure is Like a File Cabinet

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Task: Note the descriptions of domains described. Divide the grade level focus areas among table partners and read the descriptions. Use the organizers provided to note what you discover and think about the standard’s intent. Discuss your thinking with your table partners about all of the critical focus areas. 15 Activity 2

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16 Standards for Mathematical Practice are provided in detail. The Practices are also listed at the beginning of each grade level

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17 Structure of the Standards Domains are larger groups that progress across grades Grade Level Standards define what students should understand and be able to do Clusters are groups of related standards Domain Cluster Grade Level Standards Operations and Algebraic Thinking 1.0A

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18 Intent - File Cabinet Cluster- Hanging Files Domain- Drawer File Folders – Grade Level Standards Simple…Like a File Cabinet

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Task: Find the Grade 8 Mathematics Standards. Examine the standards provided in the activity. Find all the elements Grade/Domain/Cluster), and note them in the chart. 19 Activity 3

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20 Activity 3

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“The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students.” CCSS page 6 21

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22 Standards for Mathematical Practices 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments & critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Refer to the standards

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Investigating the Standards for Mathematical Practice What is it? How can you use it? 23

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Grad e K Grad e 1 Grad e 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Counting & Cardinality Operations & Algebraic Thinking Number & Operations in Base 10 Measurement & Data Number Operations – Fractions Geometry The Number System Expressions & Equations Ratios & Proportional Relationships Statistics & Probability Function s

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25 Current Standard Future Standards Prior Standards Future Standards Prior Standards Vertical Connections All Standards in mathematics have a connection to early and subsequent concepts and skills The flow of those connections is documented by how a student develops the concepts

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26 Investigating Vertical Connections

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Investigating the Standards Through Vertical Connections 27

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Properties of operations: their role in arithmetic and algebra Mental math and algebra vs. algorithms (Inspection) Units and unitizing Operations and the problems they solve Quantities Variables Functions Modeling (As a sequence across grades) Number Operations Expressions Equations (As a sequence across grades) Modeling Practices 28 ( from Phil Daro, one of three lead writers on the Common Core Standards for Mathematics)

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So how will you use this in your school or district? PowerPoint Activities 1 - 4 2 Takeaway Activities Today’s Materials are all Available at: http://www.cesa4.k12.wi.us/ 29

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30 (Today’s slides and materials were adapted from Investigating the Standards, ©2010 Wisconsin Cooperative Educational Service Agencies (CESAs) School Improvement Services statewide roll-out initiative)

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31 Billie Finco Julie Jensen Sherri Torkelson Nicki Pope Please complete your Exit Ticket. Thanks for coming!

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