Common Core Mathematics Standards Curriculum Network October 7, 2011

KWL  What do you currently know about common core for mathematics?  What are you wondering about common core for mathematics and implications for your school system?

 State-led and developed common core standards for K-12 in English/language arts and mathematics  Initiative led by the Council of Chief State School Officers (CCSSO) and National Governors Association (NGA) Common Core State Standards Initiative

What are educational standards? Why do they matter?

State-led Initiative  States in the driver’s seat  The federal government did not develop the standards or require their adoption.

Why do we need common standards? Why now?  Disparate standards across states  Today’s jobs require different skills  Global competition  For many young people, a high school degree isn’t preparing them for college or a good job.

Why is This Important for Students, Teachers, and Parents?  Prepares students with the knowledge and skills they need to succeed in college and work  Ensures consistent expectations regardless of a student’s zip code  Provides educators, parents, and students with clear, focused guideposts  Offers economies of scale

Features of the Standards  Aligned with college and work expectations  Focused and coherent  Include rigorous content and application of knowledge through high-order skills  Build upon strengths and lessons of current state standards  Based on evidence and research  Internationally benchmarked  Should be read to allow the widest possible range of students to participate fully 8

Foundation for the Standards Aligned with college and work expectations  Prepare students for success in entry-level, credit-bearing, academic college courses (2- and 4- year postsecondary institutions)  Prepare students for success in careers that offer competitive, livable salaries above the poverty line, opportunities for career advancement, and are in growing or sustainable industries

Standards Development Process  College- and career-readiness standards for English/language arts and mathematics developed summer of 2009  Based on the college and career readiness standards, K-12 standards for each grade were developed  Continual input throughout the process from states, educators, and business and higher education leaders  Public comment period with nearly 10,000 responses  Final standards released on June 2, 2010

42 states and D.C. have fully adopted the Common Core State Standards; 1 state has provisionally adopted the standards; and 1 state has adopted only the ELA standards.

What’s in the Standards

MATHEMATICS STANDARDS

Design and Organization Standards for Mathematical Practice  Carry across all grade levels  Describe habits of mind of a mathematically expert student  Pages 6 -9 Standards for Mathematical Content  K-8 standards presented by grade level  High school standards presented by conceptual theme Appendix  Designing high school math courses based on the Common Core State Standards

Math Key Advances  Focus in early grades on number (arithmetic and operations) to build a solid foundation in math  Evened out pace across the grades  Focus on using math and solving complex problems, similar to what would see in the real world in high school  Emphasis on problem-solving and communication

16 Common Core Organization Mathematics  Standards for Mathematical Practice  Standards for Mathematical Content

17 Common Core Organization Standards for Mathematical Practice  Carry across all grade levels  Describe habits of mind of a mathematically expert student

Standards for Mathematical Practice  Jigsaw – What is required to be a truly competent mathematical citizen?  Please pair up! We will work in four teams 1: Evaluate expectations of Standards for Practice #1 and #2 2: Evaluate expectations of Standards for Practice #3 and #4 3: Evaluate expectations of Standards for Practice #5 and #6 4: Evaluate expectations of Standards for Practice #7 and #8 Please take 5 minutes to gather “big ideas” contained in standards for practice Return to large group – please take one minutes to share your findings (okay, maybe 2 minutes)!

Standards for Mathematical Practice Describe varieties of expertise that should be developed in students Rely upon longstanding important processes and proficiencies Articulate the behaviors of truly mathematically competent citizens 19

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. 20

Standards for Mathematical Practice 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. 21

22 Common Core Organization Standards for Mathematical Content  Presented by grade level, K-8  Organized into domains progressing over several grades  Introduced at each grade level by 2–4 focal points  Presented by conceptual themes at high school

23 Grade Level Overview (Grade 4 page 27 in CCSS) Focus:  Instructional Time  Grade 4 Overview (1 page)  Provides in depth explanation for the grade level

Mathematical Content: Domains 24 Grades K-8 Counting and Cardinality Operations and Algebraic Thinking Ratios and Proportional Relationships The Number System Number and Operations in Base Ten Number and Operations—Fractions Measurement and Data Statistics and Probability Expressions and Equations Functions Geometry High School Number and Quantity Algebra Functions Geometry Statistics and Probability Modeling

25 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

26 Reading a Mathematics Standard

Evaluation of Common Core in Relation to PA Standards (Vertical View)  Suggestion: In grade level teams, evaluate each domain and the content standards within the domain  Suggestion: Evaluate the PA standards in SAS vertical view – evaluating your grade level expectations, and those above and below, what are the similarities and differences?  Create a synthesis of your findings detailing  More Emphasis On & Less Emphasis On  Visit for access to crosswalks between PA and Common Core (top link! “Click Here”)

28 Key Advances Focus and coherence  Focus on key topics at each grade level.  Coherent progressions across grade levels. Balance of concepts and skills  Content standards require both conceptual understanding and procedural fluency. Mathematical practices  Foster reasoning and sense-making in mathematics. College and career readiness  Level is ambitious but achievable.

29 Key Changes  Focuses in early grades on number (arithmetic and operations) to build a solid foundation in math  Evens out pace across the grades  Focuses on using math and solving complex problems in high school math - the real world emphasis  Stresses problem-solving and communication  More Emphasis and Less Emphasis Synthesis per Grade level

Implications  What are the implications on instruction?  What are the implications on assessment?  What are the pressing questions in relation to instruction and assessment?

Ticket Out the Door What “squares” with my thinking? What are the three points that I want to remember? What questions are going around and around in my mind?