Please complete your morning work! (keep for later) Introductions & Norms Your “LAMP” presenters Norms Christy Frank: Franklinville Please silence cell-phones Kirsty Hughes: Trinity Please no side-bar conversations Christin Frank: Trinity Please fill the “parking lot” Tamara Lafferty: Franklinville Erin Stolp: Hopewell Kim Wilburn: Farmer Tammy Routh: Tabernacle Layla Fields: Southmont whenever you have a question! Common Core State Standards for Mathematics 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 www.corestandards.org Common Core Notebooks Math Section CCSS & Glossary Learning Progressions Unpacking Document Crosswalk Document Common Core State Standards 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 Design and Organization Grade Level Overviews Mathematical Practices Design and Organization Content standards define what students should understand and be able to do Clusters are groups of related standards Domains are larger groups that progress across grades Domain Standards Grade Level Content Domains Illustrative Mathematics Tools http://illustrativemathemati cs.org/standards Common Core Resources Glossary Tables Common addition and subtraction situations Common Core Resources Operations and Properties Tables Table 3. The properties of operations Unpacking Document Crosswalks Scavenger Hunt 1. What grade is the standard algorithm for multiplication taught? 2. What grade introduces the concept of probability? 3. What grade has volume as a critical focus area? 4. Which grade teaches cardinality? 5. By the end of what grade should students memorize addition facts? 6. What grade is responsible to teach the eight mathematical practices? 7. Line symmetry is introduced in what grade? 8. What grade are the concepts of area and perimeter taught? Time to Reflect Summary Vertical Progression Look at handout; CCSS “Learning Progressions”: What will they already know? What do they need to know? Create a flow-chart showing how your table’s BIG IDEA progresses throughout K-5. Focal Points & Critical Areas Focal Points Critical Area rd 3 Grade Big Ideas Take a break…! …10 minutes Equal Groups Materials on your table: colored tiles, construction paper, cm squared paper, scissors, glue sticks, markers. With a partner use tiles to create as many different arrays as you can for your assigned product. As you make each array, copy it on to cm squared paper and label it with the matching multiplication equation. Glue your arrays on the construction paper. Make a title showing the number you were assigned. Unit 5, Session 3.1 “Arranging Chairs” Exploration Stations What makes this activity a good task? What mathematical practices are reinforced with this station? What content standards or big ideas are addressed? 1. Make sense of problems and persevere in solving them 6. Attend to precision Overarching habits of mind of a productive mathematical thinker. Standards for Mathematical Practice 2. Reason abstractly and quantitatively Reasoning and Explaining 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics 5. Use appropriate tools strategically Modeling and Using Tools 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning Seeing Structure and Generalizing *p. 3 Unpacking Document Mathematical Practices Picture Sort Sort the pictures to match each mathematical practice Pictures may fit multiple categories Mathematical Practices Construct viable arguments and critique the reasoning of others. Attend to precision. Quick Search! Using your NEW CCSS notebook… 1. Find the standard and sample activities that match the math activity we just completed. 2. Does it match more than one standard? Rectangle Perimeter Area 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? Is there any place for drill and practice? “Yes! However the tragic error is to believe that drill is a method of developing ideas. Drill is only appropriate when (a) the desired concepts have been meaningfully developed, (b) students already have developed (not mastered) flexible and useful procedures, and (c) speed and accuracy are needed. Watch children drilling basic facts who are counting on their fingers… What they may be improving is their ability to count quickly. They are not learning their facts.” Van de Walle “Teaching Student-Centered Mathematics” p. 21 Time to Reflect Summary What’s In What’s Out Challenges for Next Year What concepts need to be addressed in order to help students transition to the new math standards? Time to Reflect Summary Investigations Alignment How will Investigations align with the new Common Core State Standards? http://investigations.terc.edu/CCSS/ 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. 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. “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.) Grade Level Adaptations Using Investigations to Implement the Common Core – November 4, 2011 Investigations Alignment Resources: Investigations and the Common Core State Standards Also found online www.pearsonsuccessnet.com Investigations Alignment www.pearsonsuccessnet.com 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 How the New Content is Addressed Teaching/Math Notes Ten Minute-Math/Classroom Routines Homework & Practice Pages Sessions Content & Pacing Time to Reflect Summary CCSSM Resources Books Magazines Technology Resources DPI Wiki http://www.ncdpi.wikispaces.net/ http://maccss.ncdpi.wikispaces.net/home CCSSM Resources Common Core State Standards Live Binder: http://www.livebinders.com/edit?id=133724 Resources: 21st Century Skills Common Core State Standards & Essential Standards Crosswalks Unpacking Documents Investigations & CCSSM Websites Math Resources Aegom Interactive Smartboard Lessons www.aegom.com/ Video Resources Annenberg Media Videos & Resources http://www.learner.org/resources/ browse. html?discipline=6 Discovery Education/United Streaming http://streaming.discoveryeducation.com/ Math Resources National Council of Teachers of Mathematics (NCTM) www.nctm.org http://illuminations.nctm.org/ Teaching Children Mathematics Magazines Math Resources SMART Exchange http://exchange.smarttech.com/index.html#tab=0 netTrekker http://school.nettrekker.com/authenticate/ipauth/1?np =/home.ftl&pp=/ipauth_error.ftl Common Core Resources ACRE: Common Core State and Essential Standards http://www.ncpublicschools.org/acre/standards/ ACRE: Instructional Support Tools http://www.ncpublicschools.org/acre/standards/support-tools/ Tools for the Common Core Standards http://commoncoretools.wordpress.com/ Illustrative Mathematics (CCSS Tools & Resources) http://illustrativemathematics.org/standards Common Core Wiki (by Drew Polly) http://elemath.pbworks.com/w/page/30621644/common-core National Council of Teachers of Mathematics www.nctm.org www.nctm.org/standards/mathcommoncore/ Math Resources Time to Reflect Summary