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Getting Started With
  Common Core
        Laura Chambless
      St. Clair County RESA
  www.protopage.com/lchambless
Learning Target




I can read, use, and understand
   the level in which I need to
   teach the Common Core State
   Standards.
CCSS

• What do you remember from last
  year’s introduction and/or this
  summers self exploration?
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?
CCSS Document
Find these parts of the CCSS Document
  1.   Critical Areas
  2.   Grade Overview
  3.   Mathematical Practices
  4.   Standards


What can you tell me about each part?
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
     grades




Source: MDE- Math Common Core Power Point
MDE Crosswalk
Find 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
How Are CCSS Different
1. Mathematical Practices are crucial
2. Higher Order Thinking Verbs
  –    Understand – Comprehension Level (2)
  –    Compare – Comprehension Level (2)
  –    Solve – Application Level (3)
  –    Classify – Analysis Level (4)
  –    Analyze – Analysis Level (4)
  –    Organize – Synthesis Level (5)
  –    Relate – Evaluation Level (6)
  –    Determine – Evaluation Level (6)
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
K-8 Domains
 Counting                                             Ratios &
   and                                               Proportion
Cardinality
      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
Mathematics/Standards for Mathematical Practice

“The Standards for Mathematical Practice describe varieties of expertise that
mathematics 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
Standards for Mathematical
             Practice
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
Math Practices


http://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)
Activity
Freddy Fly and Martha Maggot have 9 sticky
  lollipoos - not lollipops. Don't ask what they
  are - you don't 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.
Assessment


The SMARTER Balanced
 Assessment Consortium
http://www.k12.wa.us/smarter
Common State Achievement
Assessments: 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
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 ASSESSMENT

Computer Adaptive                              Computer Adaptive                     PERFORMANCE           COMPUTER
Assessment and                                 Assessment and                            TASKS              ADAPTIVE
Performance 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.
Assessment Design

   Summative Assessment

•Measure full range of CCSS
•Computer Adaptive
 Testing for precision
•Timely results
•Performance Tasks
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
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
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
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.
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 items
12-Dec-11           * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
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 option

12-Dec-11           * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
Sample Item


http://www.k12.wa.us/Mathematics/R
  eleasedItems.aspx
Teaching Strategies


Proof Drawings & Problem Solving

           Math Talk
Proof Drawings
             Problem Solving
1. Video http://www.teachingchannel.org/videos/talk-moves?fd=1
2. Problem Solving in Math Expressions
   Article and/or NCTM Focus Points
   Book
Article
   1. Pg 2 Understanding The Situation
   2. Pg 4 Math Drawings vs Numeric Drawing
   3. Pg 5 Levels of Addition and Subtraction
      Solution Methods
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
Math Talk
1. Video http://www.insidemathematics.org/index.php/standard-3
2. 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.
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
Mathematical Practices
As 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
60 Minute Lessons
1. Start: quick review, game, video
2. Lesson:
   manipulate, draw, talk, write
3. Differentiation: centers, sponge
   activities
4. Technology: white board
   activities, iPod apps, computer
   games, flip camaras
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?
Learning Target




I can read, use, and understand
   the level in which I need to
   teach the Common Core State
   Standards.
Thanks



Evaluation

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Getting Started With Common Core Standards

  • 1. Getting Started With Common Core Laura Chambless St. Clair County RESA www.protopage.com/lchambless
  • 2. Learning Target I can read, use, and understand the level in which I need to teach the Common Core State Standards.
  • 3. CCSS • What do you remember from last year’s introduction and/or this summers self exploration?
  • 4. 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?
  • 5. CCSS Document Find these parts of the CCSS Document 1. Critical Areas 2. Grade Overview 3. Mathematical Practices 4. Standards What can you tell me about each part?
  • 6. 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 grades Source: MDE- Math Common Core Power Point
  • 7. MDE Crosswalk Find 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
  • 8. How Are CCSS Different 1. Mathematical Practices are crucial 2. Higher Order Thinking Verbs – Understand – Comprehension Level (2) – Compare – Comprehension Level (2) – Solve – Application Level (3) – Classify – Analysis Level (4) – Analyze – Analysis Level (4) – Organize – Synthesis Level (5) – Relate – Evaluation Level (6) – Determine – Evaluation Level (6)
  • 9. 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
  • 10. K-8 Domains Counting Ratios & and Proportion Cardinality 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
  • 11. Mathematics/Standards for Mathematical Practice “The Standards for Mathematical Practice describe varieties of expertise that mathematics 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
  • 12. Standards for Mathematical Practice 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
  • 13.
  • 14. Math Practices http://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)
  • 15. Activity Freddy Fly and Martha Maggot have 9 sticky lollipoos - not lollipops. Don't ask what they are - you don't 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.
  • 16. Assessment The SMARTER Balanced Assessment Consortium http://www.k12.wa.us/smarter
  • 17. Common State Achievement Assessments: 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
  • 18. 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 ASSESSMENT Computer Adaptive Computer Adaptive PERFORMANCE COMPUTER Assessment and Assessment and TASKS ADAPTIVE Performance 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.
  • 19. Assessment Design Summative Assessment •Measure full range of CCSS •Computer Adaptive Testing for precision •Timely results •Performance Tasks
  • 20. 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
  • 21. 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
  • 22. 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
  • 23. 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.
  • 24. 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 items 12-Dec-11 * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
  • 25. 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 option 12-Dec-11 * Time windows may be adjusted based on results from the research agenda and final implementation decisions.
  • 26.
  • 28. Teaching Strategies Proof Drawings & Problem Solving Math Talk
  • 29. Proof Drawings Problem Solving 1. Video http://www.teachingchannel.org/videos/talk-moves?fd=1 2. Problem Solving in Math Expressions Article and/or NCTM Focus Points Book Article 1. Pg 2 Understanding The Situation 2. Pg 4 Math Drawings vs Numeric Drawing 3. Pg 5 Levels of Addition and Subtraction Solution Methods
  • 30. 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
  • 31. Math Talk 1. Video http://www.insidemathematics.org/index.php/standard-3 2. 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.
  • 32. 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
  • 33. Mathematical Practices As 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
  • 34. 60 Minute Lessons 1. Start: quick review, game, video 2. Lesson: manipulate, draw, talk, write 3. Differentiation: centers, sponge activities 4. Technology: white board activities, iPod apps, computer games, flip camaras
  • 35. 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?
  • 36. Learning Target I can read, use, and understand the level in which I need to teach the Common Core State Standards.

Notas do Editor

  1. 1.Analyze givens, constraints, relationships and goals