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Common Core State Standards (CCSS)

Common Core State Standards (CCSS). Permission to freely use this ppt is granted under the following conditions: It is for educational purposes only, and there is no fee associated with viewing it.

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Common Core State Standards (CCSS)

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  1. Common Core State Standards (CCSS) www.ELATestPrep.com Permission to freely use this ppt is granted under the following conditions: It is for educational purposes only, and there is no fee associated with viewing it. It is not altered in any way. The Comprehensive Strategic Intervention logo and www.ELATestPrep.com footer must remain in place.

  2. Think Like a Mathematician • "Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.” • Albert Einstein www.ELATestPrep.com

  3. Think Like a Mathematician • "No employment can be managed without arithmetic, no mechanical invention without geometry.” • Benjamin Franklin www.ELATestPrep.com

  4. Think Like a Mathematician • "Give me a place to stand, and I will move the earth.” • Archimedes www.ELATestPrep.com

  5. Think Like a Mathematician • “Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of the world.” • Roger Bacon www.ELATestPrep.com

  6. Think Like a Mathematician • “Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.” • Friedrich Ludwig GottlobFrege www.ELATestPrep.com

  7. Think Like a Mathematician • “God does arithmetic.” • Carl Friedrich Gauss www.ELATestPrep.com

  8. Think Like a Mathematician • "Where there is matter, there is geometry.” • Johannes Kepler www.ELATestPrep.com

  9. Think Like a Mathematician • "Algebraic symbols are used when you do not know what you are talking about.” • Philippe Schnoebelen • (Computer Scientist – Oxford University) www.ELATestPrep.com

  10. Think Like a Mathematician • “The infinite! No other question has ever moved so profoundly the spirit of man.” • David Hilbert www.ELATestPrep.com

  11. Think Like a Mathematician • “When you can measure what you are talking about and express it in numbers, you know something about it.” • Lord William Thomson Kelvin www.ELATestPrep.com

  12. Think Like a Mathematician • “Geometry is one and eternal shining in the mind of God. That share in it accorded to men is one of the reasons that Man is the image of God.” • Johannes Kepler www.ELATestPrep.com

  13. Think Like a Mathematician • “Let no one ignorant of geometry enter here.” • Plato www.ELATestPrep.com

  14. Think Like a Mathematician • “Number rules the universe.” • Pythagoras www.ELATestPrep.com

  15. Think Like a Mathematician • “The understanding of mathematics is necessary for a sound grasp of ethics.” • Socrates www.ELATestPrep.com

  16. Why the Change to CCSS? www.ELATestPrep.com

  17. Why the Change to CCSS? An example of how multiple-choice assessments have undermined quality math instruction: 39 8,307 • 39 • 213 Students can solve this • 432 without knowing the • 621 division algorithm! www.ELATestPrep.com

  18. Why the Change to CCSS? Multiply the last digit of each answer choice by the last digit of the divisor. The correct answer MUST have the same last digit as the dividend. 39 8,307 • 39 (9x9 = 81) • 213 (3x9 = 27) • 432(2x9 = 18) • 621(1x9 = 9) www.ELATestPrep.com

  19. Why the Change to CCSS? www.ELATestPrep.com

  20. Agenda/Purpose • Become educated about CCSS and understand implications for change to assessment, standards, curriculum, and instruction in the area of mathematics • 6 Instructional Shifts for Mathematics • Standards for Mathematical Practice • How SBAC will change the nature of assessment • Review Depth of Knowledge (DOK) • Structure of CCSS for Mathematics • How to move forward/next steps www.ELATestPrep.com

  21. The 3 Gears of Common Core www.ELATestPrep.com

  22. Highest Quality Mathematics Program Components Resources Tiered Interventions Proven Teaching Strategies SBAC & Common Core Standards Standards for Mathematical Practice 6 Instructional Shifts www.ELATestPrep.com

  23. 6 Instructional Shifts for ELA & Math 6 ELA Shifts 6 Math Shifts Focus Coherence Fluency Deep Understanding Applications Dual Intensity • Balancing Informational & Literary Text • Knowledge in the Disciplines • Staircase of Complexity • Text-Based Answers • Writing From Sources • Academic Vocabulary www.ELATestPrep.com

  24. Shift 1: Focus • Significantly narrow and deepen the scope of how time is spent in the classroom • Spend more time thinking and working on fewer concepts • Focus deeply on only concepts prioritized in the standards • Students: • reach strong foundational knowledge • deep conceptual understanding • transfer math skills and understanding across concepts & grades www.ELATestPrep.com

  25. Examining CCSS at your Grade • What are the new domains? • List the skills/concepts which carry over from CA’97 to CCSS. • List the skills/concepts which will be new to your grade. • List the CA’97 skills/concepts which will be eliminated by CCSS. • link to template www.ELATestPrep.com

  26. Correlation Between CA’97 and CCSS www.ELATestPrep.com

  27. Shift 2: Coherence • Build on knowledge in year to year, in a coherent learning progression • Connect learning within and across grades • Spiraling of concepts across grades so that students build onto foundations built in previous years • Deep conceptual understanding of core content • Each standard is NOT a new event, but an extension of previous learning www.ELATestPrep.com

  28. Shift 3: Fluency • Spend time practicing skills with intensity • Push students to know basic skills at a greater level of fluency • Students have speed & accuracy • Memorize through repetition core functions • Focus on the listed fluencies by grade level • Create high quality worksheets, problem sets, in high volume www.ELATestPrep.com

  29. Shift 4: Deep Understanding • Don’t simply teach “how to get the answer” • Help students access concepts from a number of perspectives • Help students see math as more than a set of mnemonics or discrete procedures • Apply math to new situations; even writing & speaking • Spend the time necessary to gain depth www.ELATestPrep.com

  30. Shift 5: Applications • Apply math across the disciplines and “real world” • Choose the right concept to solve a problem even when not prompted to do so • Students use math in science particularly www.ELATestPrep.com

  31. Shift 6: Dual Intensity • Practicing & Understanding are occurring with dual intensity • Opportunities for students to participate in “drills” • Equal opportunities for students to make use of those skills through extended application • Provide enough class time for mathematics www.ELATestPrep.com

  32. Standards for Mathematical Practice • Purpose • Describe varieties of expertise that educators at all levels should seek to develop in their students • They define the essence of what math is and what mathematicians and proficient students can do. • Think like a disciplinarian – Mathematicians... • The following link on the Core Standards site gives the full details of the SMP: http://www.corestandards.org/Math/Practice www.ELATestPrep.com

  33. 1. Make sense of problems & persevere in solving them. • Mathematically proficient students: • start by analyzing the meaning of a problem. • plan a solution pathway rather than jump to a solution. • consider analogous problems& try simpler forms. • use concrete objects to help conceptualize problems. • check their answers. www.ELATestPrep.com

  34. 2. Reason abstractly & quantitatively • Mathematically proficient students: • make sense of quantities and their relationships in problems. • decontextualize (represent a real problem symbolically) and manipulate the symbols. • contextualize (pause to make sense of symbols). • attend to the meaning of quantities, NOT just how to compute them. www.ELATestPrep.com

  35. 3. Construct viable arguments and critique the reasoning of others. • Mathematically proficient students: • analyze situations by breaking them into cases. • use counterexamples. • justify conclusions and communicate with others. • explain flaws in others’ arguments. • listen or read others’ arguments and decide if they make sense. www.ELATestPrep.com

  36. 4. Model with mathematics. • Mathematically proficient students: • apply math to solve real life problems. www.ELATestPrep.com

  37. 5. Use appropriate tools strategically. • Mathematically proficient students: • consider available tools when solving problems. • pencil & paper • concrete models • ruler or protractor • calculator or computer • are able to use technological tools to explore & deepen understanding of concepts. www.ELATestPrep.com

  38. 6. Attend to precision. • Mathematically proficient students: • communicate precisely to others. • use clear definitions. • state the meaning of symbols they choose. • are careful about specifying units of measure and labeling. • calculate accurately & efficiently. www.ELATestPrep.com

  39. 7. Look for and make use of structure. • Mathematically proficient students: • look closely to discern a pattern or structure. www.ELATestPrep.com

  40. 8. Look for and express regularity in repeated reasoning. • Mathematically proficient students: • notice if calculations are repeated. • look for both general methods & shortcuts. • maintain oversight of the process, while attending to the details. • Evaluate reasonableness of their intermediate results. www.ELATestPrep.com

  41. Implications for Curriculum, Instruction, and Assessment • CCSS focus on: • Depth of understanding • Application of knowledge and skills • Interdisciplinary activities • Any assessment that verifies these factors will necessarily bring fundamental changes to curriculum and teaching strategies. www.ELATestPrep.com

  42. A revolution in student assessments will soon be upon us. STAR CST SBAC www.ELATestPrep.com

  43. www.smarterbalanced.org • Smarter Balanced is a state-led consortium developing assessments aligned to the Common Core State Standards in ELA and Math that are designed to help prepare all students to graduate high school college- and career-ready. • The assessments are so revolutionary, that even if we kept the exact same ‘97 standards, our instructional practices would still need to transform so that students are prepared. www.ELATestPrep.com

  44. SBAC assessments will go beyond multiple-choice questions to include extended response and technology enhanced items, as well as performance tasks that allow students to demonstrate critical-thinking and problem-solving skills. www.ELATestPrep.com

  45. In 2014-15, students will be assessed through the SBAC consortium on their mastery of the CCSS standards. Pilots will begin now. • SBAC will assess grades 3-8 and 11 in ELA and Math. • The assessments will be administered online using adaptive technology. source: SBCOE www.ELATestPrep.com

  46. Selected Response • Assessment items where students select from a given set of response options • Constructed & Extended Response • Assessment items where students produce the response instead of selecting from a list • Technology-Enhanced/Technology Enabled • Assessment items that employ technology to elicit a response from a student • Performance Tasks • Assessment items where students perform a skill or create a product. source: SBCOE www.ELATestPrep.com

  47. Selected Response (SR) www.ELATestPrep.com

  48. Constructed Response (CR/ER) www.ELATestPrep.com

  49. Technology Enhanced (TE) www.ELATestPrep.com

  50. Performance Task (PT) www.ELATestPrep.com

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