CCSS Overview
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.It is not altered in any way. The Comprehensive Strategic Intervention logo and www.ELATestPrep.com footer must remain in place.
www.ELATestPrep.com
Think Like a Mathematician"Only two things are infinite, the universe and human stupidity, and I'm not sure about the former.
Albert Einsteinwww.ELATestPrep.com
Think Like a Mathematician"No employment can be managed without arithmetic, no mechanical invention without geometry.
Benjamin Franklinwww.ELATestPrep.com
Think Like a Mathematician"Give me a place to stand, and I will move the earth.
Archimedeswww.ELATestPrep.com
Think Like a MathematicianNeglect 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 Baconwww.ELATestPrep.com
Think Like a MathematicianEvery good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.
Friedrich Ludwig Gottlob Frege
www.ELATestPrep.com
Think Like a MathematicianGod does arithmetic.
Carl Friedrich Gauss
www.ELATestPrep.com
Think Like a Mathematician"Where there is matter, there is geometry.
Johannes Keplerwww.ELATestPrep.com
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
Think Like a MathematicianThe infinite! No other question has ever moved so profoundly the spirit of man.
David Hilbert
www.ELATestPrep.com
Think Like a MathematicianWhen 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
Think Like a MathematicianGeometry 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
Think Like a MathematicianLet no one ignorant of geometry enter here.
Platowww.ELATestPrep.com
Think Like a MathematicianNumber rules the universe.
Pythagoras
www.ELATestPrep.com
Think Like a MathematicianThe understanding of mathematics is necessary for a sound grasp of ethics.
Socrates
www.ELATestPrep.com
Why the Change to CCSS?www.ELATestPrep.com
Why the Change to CCSS?An example of how multiple-choice assessments have undermined quality math instruction:
39 8,307 39213 Students can solve this432 without knowing the621 division algorithm!
www.ELATestPrep.com
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
Why the Change to CCSS?www.ELATestPrep.com
Agenda/PurposeBecome educated about CCSS and understand implications for change to assessment, standards, curriculum, and instruction in the area of mathematics6 Instructional Shifts for MathematicsStandards for Mathematical PracticeHow SBAC will change the nature of assessmentReview Depth of Knowledge (DOK)Structure of CCSS for MathematicsHow to move forward/next steps
www.ELATestPrep.com
The 3 Gears of Common Core
www.ELATestPrep.com
Highest Quality Mathematics Program Componentswww.ELATestPrep.com
Resources Tiered Interventions Proven Teaching Strategies SBAC & Common Core Standards Standards for Mathematical Practice 6 Instructional Shifts6 Instructional Shifts for ELA & Math6 ELA ShiftsBalancing Informational & Literary TextKnowledge in the DisciplinesStaircase of ComplexityText-Based AnswersWriting From SourcesAcademic Vocabulary
6 Math ShiftsFocusCoherenceFluencyDeep UnderstandingApplicationsDual Intensitywww.ELATestPrep.com
Shift 1: FocusSignificantly narrow and deepen the scope of how time is spent in the classroomSpend more time thinking and working on fewer conceptsFocus deeply on only concepts prioritized in the standardsStudents:reach strong foundational knowledgedeep conceptual understandingtransfer math skills and understanding across concepts & grades
www.ELATestPrep.com
Examining CCSS at your GradeWhat are the new domains?List the skills/concepts which carry over from CA97 to CCSS.List the skills/concepts which will be new to your grade.List the CA97 skills/concepts which will be eliminated by CCSS.link to template
www.ELATestPrep.com
Correlation Between CA97 and CCSSGradeELAMathK76%53%179%82%283%72%373%68%466%74%569%67%674%67%www.ELATestPrep.com
Shift 2: CoherenceBuild on knowledge in year to year, in a coherent learning progressionConnect learning within and across gradesSpiraling of concepts across grades so that students build onto foundations built in previous yearsDeep conceptual understanding of core contentEach standard is NOT a new event, but an extension of previous learningwww.ELATestPrep.com
Shift 3: FluencySpend time practicing skills with intensityPush students to know basic skills at a greater level of fluencyStudents have speed & accuracyMemorize through repetition core functionsFocus on the listed fluencies by grade levelCreate high quality worksheets, problem sets, in high volumewww.ELATestPrep.com
Shift 4: Deep UnderstandingDont simply teach how to get the answerHelp students access concepts from a number of perspectivesHelp students see math as more than a set of mnemonics or discrete proceduresApply math to new situations; even writing & speakingSpend the time necessary to gain depthwww.ELATestPrep.com
Shift 5: ApplicationsApply math across the disciplines and real worldChoose the right concept to solve a problem even when not prompted to do soStudents use math in science particularly
www.ELATestPrep.com
Shift 6: Dual IntensityPracticing & Understanding are occurring with dual intensityOpportunities for students to participate in drillsEqual opportunities for students to make use of those skills through extended applicationProvide enough class time for mathematicswww.ELATestPrep.com
Standards for Mathematical PracticePurposeDescribe varieties of expertise that educators at all levels should seek to develop in their studentsThey 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
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
2. Reason abstractly & quantitativelyMathematically 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
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
4. Model with mathematics.Mathematically proficient students:apply math to solve real life problems.
www.ELATestPrep.com
5. Use appropriate tools strategically.Mathematically proficient students:consider available tools when solving problems.pencil & paperconcrete modelsruler or protractorcalculator or computerare able to use technological tools to explore & deepen understanding of concepts.
www.ELATestPrep.com
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
7. Look for and make use of structure.Mathematically proficient students:look closely to discern a pattern or structure.
www.ELATestPrep.com
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
Implications for Curriculum, Instruction, and AssessmentCCSS focus on:Depth of understandingApplication of knowledge and skillsInterdisciplinary activitiesAny assessment that verifies these factors will necessarily bring fundamental changes to curriculum and teaching strategies.www.ELATestPrep.com
A revolution in student assessments will soon be upon us.
STAR CST SBAC
www.ELATestPrep.com
www.smarterbalanced.orgSmarter 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
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
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: SBCOEwww.ELATestPrep.com
Selected ResponseAssessment items where students select from a given set of response optionsConstructed & Extended ResponseAssessment items where students produce the response instead of selecting from a listTechnology-Enhanced/Technology EnabledAssessment items that employ technology to elicit a response from a studentPerformance TasksAssessment items where students perform a skill or create a product.source: SBCOE
www.ELATestPrep.com
Selected Response (SR)
www.ELATestPrep.com
Student EvidenceMaximum Time RequirementELA Most Selected Response (SR) items will relate to a stimulus (e.g., a reading passage or audio/visual stimulus).Grade 3:1-3 minutes per itemGrades 4-11:1-2 minutes per itemMath A series of options from which to choose correct response(s)Grade 3:1-3 minutes per itemGrades 4-11:1-2 minutes per item
Constructed Response (CR/ER)
www.ELATestPrep.com
Student EvidenceMaximum Time RequirementItems may require test-takers to enter a single word, phrase, sentence, number, or set of numbers.2-10 minutes
Technology Enhanced (TE)
www.ELATestPrep.com
Student EvidenceMaximum Time RequirementItems will take advantage of drag-and-drop, hot spot, drawing, graphing, gridded-response items, and simulation technologies.Time will vary depending on the task.
Performance Task (PT)
www.ELATestPrep.com
Test Item TypeStudent EvidenceMaximum Time RequirementPerformance Task (PT)Requires analytical thinking, evaluations, and support of students own responses across multiple content standards.ELA Students will produce either a full written text or present a speech
Math Integrate knowledge and skills to formulate a problem, create a model, evaluate data, and interpret results.Grades 3-8:105 minutes(over 2-3 days)
High School:120 minutes (over 2-3 days)
Lets go to the SBAC site and take a look at some of their sample items for math:
http://sampleitems.smarterbalanced.org/itempreview/sbac/index.htm
www.ELATestPrep.comNorman Webb Depth of Knowledge (DOK)Level 1 = Recall & ReproductionLevel 2 = Skills & ConceptsLevel 3 = Strategic Thinking / ReasoningLevel 4 = Extended Thinking
www.ELATestPrep.com
Webbs Definition of DOK (Hess, 2009)DOK-1 (Recall & Reproduction) Recall of a fact, term, principle, concept; perform a routine procedure; locate detailsDOK-2 (Basic Application of Skills/Concepts) Use of information; conceptual knowledge; select appropriate procedures for a given task; two or more steps with decision points along the way; routine problems; organize/display data; interpret/use simple graphs; summarize; identify main idea; explain relationships; make predictionsDOK-3 (Strategic Thinking) Requires reasoning, or developing a plan or sequence of steps to approach the problem; requires decision making or justification; abstract, complex, or non-routine; often more than one possible answer; support solutions or judgments with text evidenceDOK-4 (Extended Thinking) An investigation or application to real world; requires time to research, problem solve, and process multiple conditions of the problem or task; noun-routine manipulations; synthesize information across disciplines/content areas/multiple sourcessource: SBCOE
www.ELATestPrep.com
ComplexityDoes NOT refer to difficulty, but rather to the cognitive steps a test-taker must go through to arrive at a correct answer.
source: SBCOE
www.ELATestPrep.com
Source: Webb, Norman L. and others. Webb Alignment Tool Wisconsin Center of Educational Researchhttp://www.wcer.wisc.edu/WAT/index.aspx www.ELATestPrep.com
www.ELATestPrep.com
www.corestandards.org Mission Statement:The Common Core State Standards provide a consistent, clear understanding of what students are expected to learn, so teachers and parents know what they need to do to help them. The standards are designed to be robust and relevant to the real world, reflecting the knowledge and skills that our young people need for success in college and careers. With American students fully prepared for the future, our communities will be best positioned to compete successfully in the global economy.www.ELATestPrep.com
CCSS Math Standardsaddress the problem of a curriculum that is a mile wide and an inch deep. stress conceptual understanding.do NOT dictate curriculum or teaching methods.are NOT new names for old ways of doing business.
www.ELATestPrep.com
How to read the grade level standards: DomainNumber and Operations in Base Ten 3.NBTUse place value understanding and properties of operations to perform multi-digit arithmetic.Use place value understanding to round whole numbers to the nearest 10 or 100.Fluently add and subtract within 1000 using strategies and algorithms based on place value....Multiply one-digit whole numbers by multiples of 10 in the ...
Standard Clusterwww.ELATestPrep.com
Possible ChallengesWere still accountable to the STAR CST until 2014-15, but we need to transition to CCSS now.No curriculum/resources aligned with CCSS (and the bridge materials dont seem to be very good at this point)Huge shift in instructional strategiesTechnologywww.ELATestPrep.com
Possible Solutions / Next StepsWe need to be the experts!Be positive; this is a rare do-over opportunity!Examine the CCSS for my grade levelUse the CA97 to CCSS springboard template/document to help us transition Design lesson(s) which take a CA97 standard(s) DOK-1 and add complexity so it is CCSS DOK-2, 3, or 4. GATE Icons of depth & complexity may be the key to creating DOK2-4 activities.Explore interdisciplinary approach with math, science, and ELACommunicate and collaborateShare ideas and work with colleaguesInvite observation and feedback
www.ELATestPrep.com
Acknowledgements/Permissions Much of the information in this ppt was learned from the Common Core Institute and from various trainings conducted by the San Bernardino County Office of Education (SBCOE). The training by SBCOE is highly informative, and I strongly recommend it for those seeking more information about CCSS. SBAC-www.smarterbalanced.org Common Core State Standards Initiative- www.corestandards.orgThe SBAC logo and Common Core logo were included within this ppt for educational purposes only. They are the property of SBAC and Common Core. Neither of these entities were involved with the making of this ppt, nor have they endorsed it in any way.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.www.ELATestPrep.com
Maid with the Flaxen HairRichard Stoltzman/Slovak Radio Symphony OrchestraFine Music, Vol. 1, track 22008Classical169700.17eng - Navona Records - Navona Records
