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Common Core State Standards for Mathematics 1

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Learning Targets Gain an awareness of the content and structure of the Common Core State Standards for Mathematics Understand the meaning of the Mathematical Practices in the CCSSM and apply the practices to your current classroom instruction Become familiar with the content standards at your grade level 2

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Common Core Notebooks Math Section CCSS & Glossary Learning Progressions Unpacking Document Crosswalk Document 5

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Common Core State Standards 6

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Design and Organization Standards for Mathematical Practice Carry across all grade levels Describe habits of mind of a mathematically expert student Standards for Mathematical Content K-8 standards presented by grade level Domains: Number and Operations Counting and Cardinality Operations and Algebraic Thinking Number and Operations in Base Ten Number and Operations—Fractions Measurement and Data Geometry 7

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Number Activities Bag O’ Things Bean Collage Building Stacks Lots of Lines Measure It Mittens & Gloves Paper Shapes Yarn Shapes 8

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1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 3. Construct viable arguments and 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 for Mathematical Practices 9

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Time to Reflect Summary 10

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Standards for Mathematical Practice While the Content Standards describe what mathematics students should be able to understand and do, the Mathematical Practices describe how students should engage with these mathematical concepts and skills. 11

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Mathematical Practices Mathematical practices describe the habits of mind of mathematically proficient students. In your classroom, Who is doing the talking? Who is doing the thinking? Who is doing the math? 12

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Standards for Mathematical Practice 2. Reason abstractly and quantitatively 3. Construct viable arguments and critique the reasoning of others 1.Make sense of problems and persevere in solving them 6. Attend to precision Overarching habits of mind of a productive mathematical thinker. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning 4. Model with mathematics 5. Use appropriate tools strategically Reasoning and Explaining Modeling and Using Tools Seeing Structure and Generalizing 13

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Mathematical Practices 14

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Design and Organization Grade Level Overviews 18

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Time to Reflect Summary 20

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Vertical Progression We will take a look at the progression number concepts from Kindergarten through 3 rd grade. 21

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Vertical Progression 1.Fact Fluency 2.Addition 3.Subtraction 4.Place Value 5.Word Problems 22

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Gallery Walk I know that That’s new already… to me … 23

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Content Domains 24

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Illustrative Mathematics Tools cs.org/standards 25

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2 nd Grade Big Ideas Base-Ten Notation Addition and Subtraction Measurement Shapes 27

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What’s In…What’s Out… Sort With a partner, take a pair of scissors and cut apart the list of standards and sort them by “What’s In” for 2 nd grade and “What’s Out” for 2 nd grade. 28

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What’s In What’s Out Addition with rectangular array Count within 1,000 by 5s, 10s, and 100s Mentally add and subtract by 10 & 100 Measurement concepts Money Line Plots, Picture Graphs, and Bar Graphs Estimations while computing Temperature Cut and rearrange 2-D and 3-D figures Symmetric and congruent figures Venn diagrams and pictographs Probability Repeating and growing patterns 29

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Teacher Directed Number Activities Plus-Minus Stay the Same The Game of Tens and Ones Greatest Difference Wins 30

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Time to Reflect Summary 31

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Challenges for Next Year As a table write one challenge per sticky note that addresses the following question. Please limit your challenges to no more than 5 What concepts need to be addressed in order to help students transition to the new math standards? 32

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Challenges Discussion Addressing the “Challenges” 33

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Scavenger Hunt 1. What grade is the standard algorithm for addition taught? 2. What grade introduces cardinality? 3. By what grade should students memorize addition facts: To 5? To 10? To 20? 4. At what grade level is money introduced and taught? 5. What grade is responsible for teaching the eight mathematical practices? 6. Name three things that are new to the measurement domain. 7. Find the appropriate grade for: -Bar Graphs -Venn Diagrams -Picture Graphs -Line Plots 34

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Time to Reflect Summary 35

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Investigations Alignment How will Investigations align with the new Common Core State Standards? 36

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Goals of Investigations Support students to make sense of mathematics and learn that they can be mathematical thinkers. Focus on computational fluency with whole numbers as a major goal of the elementary grades. Provide substantive work in important areas of mathematics— rational numbers, geometry, measurement, data, and early algebra—and connections among them. Emphasize reasoning about mathematical ideas Communicate mathematics content and pedagogy to teachers. Engage the range of learners in understanding mathematics. 37

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Investigations and the CCSS Close alignment between Investigations & the CCSS New work builds on and extends the existing work within the grade level. Some sessions have been omitted to allow for new material. Mathematical Practices are aligned with the goals and principles of Investigations and deeply embedded in the fabric of the curriculum. The Investigations curriculum when taught as intended, offers students and teachers coherence, focus, clarity and specificity in the teaching and learning of mathematics. 38

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“ While the CCSS Content Standards describe what mathematics students should be able to understand and do, the mathematical practices describe how students should engage with these mathematical concepts and skills. The Investigations curriculum is intentionally designed to promote a deep understanding of mathematics and develop mathematically proficient students who can think, reason, model and solve problems.” (Standards for Mathematical Practices in Investigations in Number, Data and Space, p. 6.) 39

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Using Investigations to Implement the Common Core – November 4, 2011 Grade Level Adaptations

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Investigations Alignment Resources: Investigations and the Common Core State Standards Also found online 41

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Investigations Alignment 42

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Investigations and the CCSSM Companion materials to Investigations Investigations and the Common Core State Standards Each grade level resource book contains: An instructional plan for adapting existing content and adding new content Teacher and student materials for new content Sessions, Classroom Routines/TMM, Teaching/PD Notes, Resource Masters, Assessments Detailed correlations between Investigations and Mathematical Practices and Content Standards “Snap-in” Instructional Plan Tabs for each unit 43

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How the New Content is Addressed Teaching/Math Notes Ten Minute-Math/Classroom Routines Homework & Practice Pages Sessions 45

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Content & Pacing 46

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Calendar Time Though seasons, days of the week, and months of the year are important to teach, these are not mathematical ideas and should not be considered as part of the mathematics block. (Science Essential Standards: K.E.1, 2.E.1) Calendar Time (Classroom Routines, Carpet Time, etc) needs to be restructured. It should be used for Classroom Routines and to spiral critical number concepts in mathematics. 47

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CCSSM Resources Books Magazines Technology Resources 48

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DPI Wiki 49

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CCSSM Resources Common Core State Standards Live Binder: Resources: 21 st Century Skills Common Core State Standards & Essential Standards Crosswalks Unpacking Documents Investigations & CCSSM Websites 50

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Math Resources Aegom Interactive Smartboard Lessons 51

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Video Resources Annenberg Media Videos & Resources browse. html?discipline=6 Discovery Education/United Streaming 52

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Math Resources National Council of Teachers of Mathematics (NCTM) Teaching Children Mathematics Magazines 53

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Math Resources SMART Exchange netTrekker =/home.ftl&pp=/ipauth_error.ftl 54

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Math Resources Thinkfinity Extra Math https://www.xtramath.org/ 55

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Common Core Resources ACRE: Common Core State and Essential Standards ACRE: Instructional Support Tools Tools for the Common Core Standards Illustrative Mathematics (CCSS Tools & Resources) Common Core Wiki (by Drew Polly) National Council of Teachers of Mathematics 56

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Math Resources 57

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Time to Reflect Summary 58

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