Teri Calabrese-Gray Jennifer French December 14, 2012 9-12 CCLS Mathematics 6-8 Overview A Story of Ratios – Curriculum Map CCSS Mathematics Flowchart Schematics of November 2012 Application of Mathematics Resources Common Core, Inc. – Math contract Pk-12 No definitive curricular materials available as of yet PARCC Framework updated 08/12 http://www.parcconline.org/parcc-modelcontent-frameworks Hoping for more concrete materials in February 6-8 Curriculum Map – A Story of Ratios Continuation from Pk-5 Module Overview Aligned to CCSS No Modules at this time Dr. Andrew Chen, MIT Reviewed again the data (similar to work with network teams last year) about our educational math system and the need for systemic change Mathematics, the 3-legged stool Rigor, rigor, rigor. Time to increase expectations Thinking about how we teach An Introduction from Jason Zimba Read from Page 2: Further Notes to Page 3: Up to and including paragraph on Relationship to Concept Maps A Math Teacher at Grade N is actually Teaching Grades K to N A Math Teacher at Grade N is actually Teaching Grades K to N+2 K-12 Mathematics Conceptual Understanding Problem Solving Computation Fluency Teachers need to Experience rigor Dissect rigorous problems ▪ Identify Content Standards and Mathematical Practices Carson needs to purchase 5.6 meters of tape for a project. If each roll of tape contains 80 cm and costs $5, what is the total cost of the tape that Carson must buy? Show all work. Answer: $_______________ What standard(s) were involved? Was it more about: Conceptual understanding? Computational Fluency? Problem Solving? Which Mathematical Practice(s) were evident in the process? What does it feel like as a student in this simulated classroom? What worked? What would you like our teachers to be able to learn from this classroom? What teaching moves worked? What’s special about this problem? Can you build a similar one? How do you plan on doing to improve math performance through inducing changes in beliefs and learning/teaching culture locally? Make sense of problems & persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Bar - Tape Diagrams Bar/Tape Model progression Thinking Blocks EngageNY – Grade 6-8 and PD Resources The Mathematics Assessment Project Illustrative Mathematics National Library of Virtual Manipulatives Progressions “Problems Without Figures” - 1909 Book 3. Given ab > 0, a and b are real numbers, which graph(s) can be described by x + ay = b? Why?