Joint Council April 6, 2011

 Standards for Mathematical Practice  Standards for Mathematical Content  PA Standards & CCSSM

 Grades K – 12  Mathematical “Habits of Mind” for students  Read  Discuss in Small Groups  What stands out?  How do you expect this will impact your teachers? Students?

 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

High School Conceptual Category Domain Cluster Standards K-8 Grade Domain Cluster Standards (There are no preK Common Core Standards)

 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 6

7 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

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. 8

 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 9

 Traditional (US)  Algebra 1 & 2, Geometry  Data, Probability & Statistics included in each  Integrated (International)  Sequence of three courses  Each course includes Number, Algebra, Geometry, Probability & Statistics  “Compacted” versions of each  Calculus or beyond

 Final year of high school math – some options  Precalculus, Calculus  Advanced Statistics  Discrete Mathematics  Advanced Quantitative Reasoning  Strategic use of technology expected  All courses  All work

 Adopted fully  Alignment of PA Math to CCSM very strong for Keystone Exam courses  K – 8 mixed strength of alignment  Begin work on K – 8 NOW  CLIU will offer a one-day introduction for K – 6 teachers of mathematics June 2  CLIU willing to offer more for this group  PA part of two Assessment Consortium  SMARTER  PARCC

 Adjustments at all grades  Earlier  Deeper  Most noticeable – Fractions  Grade 3  Understanding deeper – not just part/whole  Two documents  Cluster Heading Matrix  Instructional Emphasis

 Questions  Needs  Building Capacity Series

 PDE  Kevin Mauro  Jo Beth McKee  NCTM  Common Core State Standards Initiative