1.Analyze givens, constraints, relationships and goals
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Getting Started With Common Core Laura Chambless St. Clair County RESA www.protopage.com/lchambless
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Learning TargetI can read, use, and understand the level in which I need to teach the Common Core State Standards.
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CCSS• What do you remember from last year’s introduction and/or this summers self exploration?
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Alignment & Pacing Guide• Is your grade level pacing guide done and aligned with CCSS? – What are you cutting out of your old program? – What concepts are you increasing teaching time on? – Are all the CCSS covered?
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CCSS DocumentFind these parts of the CCSS Document 1. Critical Areas 2. Grade Overview 3. Mathematical Practices 4. StandardsWhat can you tell me about each part?
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Design and Organization Elementary/Middle School 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 gradesSource: MDE- Math Common Core Power Point
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MDE CrosswalkFind these parts in the Crosswalk: 1. Introduction 2. Mathematical Practices 3. Critical Area 4. Progression of CCSS across grades 5. Common Standards with GLCEs 6. Content moving out 7. Content moving in
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How Else Are They Different?1. Each grade level is accountable for their critical areas.2. Each grade level is building skills for the next grade level.3. CCSS concepts have distinct starting and ending points.4. Mathematical Practices are K-12
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K-8 Domains Counting Ratios & and ProportionCardinality Operations and Algebraic Thinking The Number System Number and Operations in Base Ten Expressions & Equations Fractions Functions Measurement and Data Geometry Geometry Statistics and Probability K 1st 2nd 3rd 4th 5th 6th 7th 8th
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Mathematics/Standards for Mathematical Practice“The Standards for Mathematical Practice describe varieties of expertise thatmathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education.” CCSS, 2010 Standards for Mathematical Practice • Carry across all grade levels • Describe habits of a mathematically expert student Standards for Mathematical Content • K-8 presented by grade level • Organized into domains that progress over several grades • Grade introductions give 2-4 focal points at each grade level • High school standards presented by conceptual theme (Number & Quantity, Algebra, Functions, Modeling, Geometry, Statistics & Probability
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Standards for Mathematical Practice1. Make sense of problems and persevere in solving them2. Reason abstractly and quantitatively3. Construct viable arguments and critique the reasoning of others4. Model with mathematics5. Use appropriate tools strategically6. Attend to precision7. Look for and make use of structure8. Look for and express regularity in repeated reasoning
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Math Practiceshttp://www.corestandards.org/the- standards/mathematics/introduction /standards-for-mathematical-practice 1. Read Math Practices 1 and 3. 2. Take time to read about the practices. (5 min) 3. Share what you learned with a partner. (2 min)
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ActivityFreddy Fly and Martha Maggot have 9 sticky lollipoos - not lollipops. Dont ask what they are - you dont want to know. If Freddy Fly has 5 fewer lollipoos than Martha Maggot, how many lollipoos does Freddy Fly have?http://www.homeschooling-paradise.com/math-word-problems-first-grade.html 1.Work with a partner(s) to solve this problem. 2. Illustrate the problem and write an equation. (5 min) 3. Is there another way you can illustrate the problem? 4. Sharing Time: 1 minute group report 5. Reflection Time: Which Mathematical Practices did you use.
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Common State AchievementAssessments: Beginning 2014-15 A Multi-Mode An Online Assessment Assessment System System• Multiple Choice • Results returned quickly• Short Answer (within hours or days• Essay depending on the type of task included)• Technology Enhanced Items (e.g. simulations, • Paper and pencil tools) offered the first few years• Performance Events (short projects) • Hope to be paperless (except for• Performance Tasks accommodations) by (long projects) 2017
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The SBAC Assessment System English Language Arts and Mathematics, Grades 3 – 8 and High School Last 12 weeks of year* DIGITAL CLEARINGHOUSE of formative tools, processes and exemplars; released items and tasks; model curriculum units; educator training; professional development tools and resources; an interactive reporting system; scorer training modules; and teacher collaboration tools.INTERIM ASSESSMENT INTERIM ASSESSMENTComputer Adaptive Computer Adaptive PERFORMANCE COMPUTERAssessment and Assessment and TASKS ADAPTIVEPerformance Tasks Performance Tasks • Reading ASSESSMENT • Writing • Math Scope, sequence, number, and timing of interim assessments locally determined Re-take option Optional Interim Summative assessment assessment system — for accountability no stakes * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
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Assessment Design Summative Assessment•Measure full range of CCSS•Computer Adaptive Testing for precision•Timely results•Performance Tasks
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Assessment Design Interim Assessment•Allow for finer grain of measurement (e.g., end of unit)•Inform teachers if students are on track to be proficient on summative assessments•Multiple opportunities for students to participate
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Assessment Design Formative Assessment•Repository of tools available to teachers to support quick adjustment and differentiated instruction•Help define student performance along the CCSS learning progressions•Concrete strategies for immediate feedback loops
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SBAC: Two Components of the Summative Assessment PERFORMANCE TASKS + COMPUTER ADAPTIVE ASSESSMENT • Measure the ability to integrate knowledge and • A computer adaptive assessment skills, as required in CCSS given during final 12 weeks of the • Each task administered in school year* two hour-long sittings. • Multiple item types, scored by • Computer-delivered, during Computer, including tasks final 12 weeks of the school year* • Students will have the opportunity • Results within 2 weeks to take the summative assessment twice • Scores from the performance assessment and the computer adaptive assessment will be combined for annual accountability scores. * Time windows may be adjusted based on results from the research agenda and final implementation decisions.12-Dec-11
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SBAC: Performance Tasks Last 12 weeks of year* One reading task, one writing task and 2 math tasks per year. Examples: • ELA: Select texts on a given theme, synthesize the PERFORMANCE perspectives presented, conduct research, and write a TASKS • Reading reflective essay. • Writing • Math • Math: Review a financial document and read explanatory text, conduct a series of analyses, develop a conclusion, and provide evidence for it. • Roughly half of the performance tasks for grades 9 through 11 will assess ELA or math within the context of science or social studies.12-Dec-11 * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
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SBAC: End-of-Year Assessment Last 12 weeks of year* • Composed of approximately 40 to 65 questions per content area • Uses adaptive delivery for more efficient testing and COMPUTER more accurate measurement of all students, across the ADAPTIVE ASSESSMENT performance spectrum (important in measuring growth) • Scores from items that can be scored immediately will be Re-take option reported, and then updated as scores from those requiring human scoring or artificial intelligence are completed • Students who are approved to do so may take the assessment a second time, but will see a new set of items12-Dec-11 * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
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SBAC: Summative Components Last 12 weeks of year* • Student scores from the performance tasks and end-of-year adaptive assessment will be combined for each student’s annual score for accountability. • Performance tasks may begin prior to the final 12 weeks of the year, based on research studies and final implementation decisions. PERFORMANCE TASKS COMPUTER • Reading ADAPTIVE • Writing ASSESSMENT • Math Re-take option12-Dec-11 * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
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Teaching StrategiesProof Drawings & Problem Solving Math Talk
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Proof Drawings Problem Solving1. Video http://www.teachingchannel.org/videos/talk-moves?fd=12. Problem Solving in Math Expressions Article and/or NCTM Focus Points BookArticle 1. Pg 2 Understanding The Situation 2. Pg 4 Math Drawings vs Numeric Drawing 3. Pg 5 Levels of Addition and Subtraction Solution Methods
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1. Make sense of problems and persevere in solving them.Students should be able to:• Explain the meaning of the problem. May use concrete objects and/or pictorial representations.• Come up with a strategy for solving the problem.• Identify the connections between two different approaches to a problem.• Determine whether or not the solution makes sense.Source: LuAnn Murray- Mathematics Coordinator Genesee ISD
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Math Talk1. Video http://www.insidemathematics.org/index.php/standard-32. Math Talk Article from Math Expression website http://www.eduplace.com/math/mthexp 1. Read Article 2. Talk to partner or group of 4 *Where is your teaching at in the gradual transformation elements on page 2.
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3. Construct viable arguments and critique the reasoning of others.Students should be able to:• Make conjectures.• Use counterexamples in their arguments.• Justify their conclusions and explain them to others.• Listen and/or read other’s arguments and determine if they make sense.• Ask questions to get clarification of an explanation.Source: LuAnn Murray- Mathematics Coordinator Genesee ISD
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Mathematical PracticesAs a group, fill in the CCSS Mathematical Practice 6 question worksheet. 1. Impact on instruction 2. Implementation look/sound like 3. Students need 4. Teachers need 5. Assessment 6. Grading
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Pacing Guide and Assessments• How was it aligned to CCSS?• Does the pacing guide look reasonable?• What needs to be done with assessment?• Do you understand the depth of the content standards so they can be assessed at the same level?
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Learning TargetI can read, use, and understand the level in which I need to teach the Common Core State Standards.
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