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CCSS Math Implementation May, 2012

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Common Core State Standards in MATHEMATICS 5/29/122

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CCSS-Mathematics: What do we already know? KW L What do I already KNOW? What do I WANT TO KNOW/learn? What did I learn/ new questions? 5/29/123

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Major Shifts within Mathematics CCSS 1. Focus: Focus strongly where the standards focus. 2. Coherence: Think across grades, and link to major topics 3. Rigor: In major topics, pursue conceptual understanding, procedural skill and fluency, and application 5/29/124

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K 12 Number and Operations Measurement and Geometry Algebra and Functions Statistics and Probability Traditional U.S. Approach 5/29/125

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Focus ing attention within Number and Operations Operations and Algebraic Thinking Expressions and Equations Algebra Number and Operations Base Ten The Number System Number and Operations Fractions K12345678High School 5/29/126

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Grade Priorities in Support of Rich Instruction and Expectations of Fluency and Conceptual Understanding K–2 Addition and subtraction, measurement using whole number quantities 3–5 Multiplication and division of whole numbers and fractions 6 Ratios and proportional reasoning; early expressions and equations 7 Ratios and proportional reasoning; arithmetic of rational numbers 8 Linear algebra Priorities in Mathematics 5/29/127

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Required Fluencies in K-6 GradeStandardRequired Fluency K K.OA.5 Add/subtract within 5 1 1.OA.6 Add/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.4 Add/subtract within 1,000,000 5 5.NBT.5 Multi-digit multiplication 66.NS.2,3 Multi-digit division Multi-digit decimal operations 5/29/128

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CCSS Design and Organization 95/29/12

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8 CCSSM Mathematical Practices Make sense of problems and persevere in solving them Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others Model with mathematics Use appropriate tools strategically Attend to precision Look for and make use of structure Look for and express regularity in repeated reasoning Standards for Mathematical Practice 5/29/1210

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Standards for Mathematical Practices Graphic 115/29/12

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Critical Areas of Focus 135/29/12

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Grade Level Organization 145/29/12

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Design and Organization 155/29/12

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High School Pathways The CCSSM Model Pathways Two models that organize the CCSSM into coherent, rigorous courses NOT required. The two sequences are examples, not mandates Pathway A: Consists of two algebra courses and a geometry course, with some data, probability and statistics infused throughout each (traditional) Pathway B: Typically seen internationally that consists of a sequence of 3 courses each of which treats aspects of algebra, geometry and data, probability, and statistics. 5/29/1216

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Michigan State Study - Teachers Thoughts about CCSSM 90% have heard of the CCSSM 70% have read them More than 90% like the idea of Common Standards Bill Schmidt - Michigan State University Center for the Study of Curriculum 5/29/1217

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Michigan State Study - Teachers Thoughts about CCSSM After reading sample CCSSM topics for their grade, ~80% say CCSSM is pretty much the same as their former standards If CCSSM places a topic they currently teach in a different grade only about ¼ would drop it Bill Schmidt - Michigan State University Center for the Study of Curriculum 5/29/1218

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Michigan State Study - Teachers Sense of Preparedness to Teach CCSSM Topics Grades 1-5: About ½ feel well prepared to teach their topics Grades 6-8: Around 60% feel well prepared to teach their topics High School: Around 70% feel well prepared to teach their topics Bill Schmidt - Michigan State University Center for the Study of Curriculum 5/29/1219

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Reading: The Structure is the Standards Individually: Read the article & highlight passages that are interesting or important to you Share around your table: 1 passage per person This passage was interesting/important to me because….. After all have shared, open up the discussion to ask each other questions, provide information, etc. 5/29/1220

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How do the shifts in the CCSS-M impact the math classroom? Phil Daro - Against "Answer-Getting" Phil Daro - Against "Answer-Getting" 5/29/1221

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Standards for Mathematical Practice Describes habits of mind that mathematics students at all levels should develop Describes varieties of expertise that mathematics educators at all levels should seek to develop in their students. Rest on important processes and proficiencies with longstanding importance in mathematics. 225/29/12

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Standards for Mathematical Practice Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. 235/29/12

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Standards for Mathematical Practice Graphic 5/29/1224

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Assign & Unpack Pairs/Trios at each table select different SMP groupings to focus on (see last slide) 10 min Read, highlight & discuss with your partner to clarify language of the 2 Mathematical Practices in your group 10 min Share & get input from others at your table. Record critical features on template 265/29/12

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What does this look like in the classroom??? Observe: Number Talks video Record: Evidence of students engaging in mathematical practices Teacher strategies that support this Share: Discuss & record observations at tables Select one you would share with whole group 5/29/1227

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Do task….individual think time then small group How many different ways can you approach this problem? Which SMP could be in play for students? Record on template Do the Math: Buttons Task 28

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Small Groups: Review the samples of student work from 5 th grade Buttons task What different methods did students use? Can you add to your list of student evidence for the Mathematical Practices your table is exploring? Digging Deeper…..student work 29

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Observe: Re-engagement Lesson Record: Evidence of students engaging in mathematical practices Teacher strategies that support this Share: Discuss & record observations at tables Select one you would share with whole group Re-engagement Lesson Digging Deeper…..classroom video 30

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For classroom practice? For teacher professional learning? For district mathematics leaders? What are the implications…..for Common Core implementation? 31

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OSPI/ESD partnership for Professional Development Three year transition plan for Washington State http://www.k12.wa.us/CoreStandards/pubdocs/Three-YearDomainImplementation.pdf Illustrative Mathematics Project http://illustrativemathematics.org/ Inside Mathematics http://insidemathematics.org/index.php Smarter Balanced Assessment consortium http://Smarterbalanced.org Other states, common vision, common message, common work Resources to support implementation of the CCSS-M 32

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During the two sessions of the upcoming performance task, you will be predicting the total costs for tuition and school-related fees, as a combined cost for a college of your choice. Your assignment will include the following: Choose a college or university that you will use to predict the future cost of tuition. This can either be a local 2-year or 4-year institution or one that you would like to attend in the future. Find out what the current years tuition, including school-related fees, are for the school you chose. This information can often be found by calling the schools admissions office, obtaining a current school catalog, or doing an Internet search. Be sure to get the cost for in-state students if the school is located in this state. Get the cost for out-of-state students if the school is not located in our state. Read the news articles Tuition and fees rise more than 8% at U.S. public colleges, Tuition Hikes of the Downturn, and The State of the Union on college costs. Use the information you obtained about the current years tuition at the school you chose and the information you read in the Tuition and fees rise more than 8% at U.S. public colleges news article to predict the cost of college tuition at your choice of schools the year you are first eligible to attend college. You should also predict the total tuition amount for the entire college education. Smarter Balanced HS Sample Performance Task 33

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A Grecian urn You have just purchased an expensive Grecian urn and asked the dealer to ship it to your house. He picks up a hammer, shatters it into pieces, and explains that he will send one piece a day in an envelope for the next year. You object; he says dont worry, Ill make sure that you get every single piece, and the markings are clear, so youll be able to glue them all back together. Ive got it covered The Structure is the Standards 5/29/1234

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Where is your Math work now? What opportunities to build on strong foundations do you see? What stands out as different? What district initiatives/activities are impacted by the content and vision of the CCSS-M? What questions do you have? 5/29/1235

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CCSS-Mathematics: What did we learn? KW L What do I already KNOW? What do I WANT TO KNOW/learn? What did I learn/ new questions? 5/29/1236

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