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http://www.youtube.com/w atch?v=UmCbiibZvX0 Cracking The Without Cracking Up! Introduce Yourself to Someone You Don’t Know and Share Your Goal For Institute With Them! What Is The Common Core? http://www.youtube.com/watch?v=g5ktLyHDjL4 Why the Common Core? College Readiness: 4 Year Gap H. School to College Texts College Math Readiness 62% of Jobs Require a Postsecondary Credential 40 Million + Movers Annually 44 State Power The “Core of the Core” Is The The shape of math in A+ countries A + Countries United States 1 Schmidt, Houang, & Cogan, “A Coherent Curriculum: The Case of Mathematics.” (2002). Key Shifts: Shift 1 - Focus Focus instruction strongly where the standards focus Fewer Topics Deeper Learning: “Deep, Not Wide” Key Shifts: Shift 2 - Coherence K Number and Operations Measurement and Geometry Algebra and Functions Statistics and Probability 12 Coherence: Leading to Algebra Operations and Algebraic Thinking Expressions and Equations Number and Operations— Base Ten K 1 2 3 4 Algebra The Number System Number and Operations— Fractions 5 6 7 8 High School Key Shifts: Shift 3 - Rigor Rigorous? Webb’s Depth of Knowledge DOK Level 1 Then - 2002 GED® test At your table: Ms. Nguyen is a real estate agent. One of her clients is considering buying a house in the Silver Lakes area, where 6 houses have recently sold for the following amounts: $160,000; $150,000; $185,000; $180,000; $145,000; $190,000. What should Ms. Nguyen report as the Median price of these houses? 1. Solve both problems 2. Discuss the similarities/differences 1) $160,000 between the two problems 2) $170,000 3) $180,000 3. How is the GED 2014 problem more 4) $190,000 5) Not enough information is given. Note: Method for complex? determining median was provided inour the test 4. What will we have to do in booklet. classrooms to prepare students to solve the GED 2014 problem? 17 Then - 2002 GED® test Ms. Nguyen is a real estate agent. One of her clients is considering buying a house in the Silver Lakes area, where 6 houses have recently sold for the following amounts: $160,000; $150,000; $185,000; $180,000; $145,000; $190,000. What should Ms. Nguyen report as the Median price of these houses? 1) 2) 3) 4) 5) $160,000 $170,000 $180,000 $190,000 Not enough information is given. Note: Method for determining median was provided in the test booklet. 18 Now – 2014 GED® test 19 Where Improper Fractions Go to Bank . . All Roads Lead to Algebra Algebra 1 – Most Frequently Failed Class of High School Dropouts Algebra – The Skill Most Associated with Postsecondary and Employment Success How do We Develop Algebraic Thinking in Our Students? What Does “Common Core Friendly” Instruction Look Like? https://www.teachingchannel.org/videos/common-core-state-standards-highschool?resume=0 Standards for Mathematical Practice Discuss: How can you incorporate these standards in your classroom? Which ones seem hardest/easiest for students to do? What Does “Common Core Friendly” Instruction Look Like? How Did This Instructor Use Questions? What Did He Mean By, “Sometimes the Best Thing I Can Do is Walk Away? How Did He Use Disagreements? https://www.cuny.edu/academics/programs/notable/CATA/cticunystart/cunystart-resources-pubs/videos.html Great Math Questions: What does this mean/How did you get this? Why did you decide to . . . . ? Is there another idea you might try? Do you have any ideas about how you might figure out? Others? At Your Table, Solve This “Messy Problem” Tavares bought 2 things on sale. One item was 10% off and the other item was 20% off. He says he saved 15% altogether. Could Tavares be right? Explain Could Tavares be wrong? Explain Problem Solving In Your Classroom What opportunities do your students currently have to grapple with nonroutine complex tasks and to… …. reflect on their thinking and consolidate new mathematical ideas and problem solving solutions? 28 How Many Teach Students Problem Solving Strategies? Teach Problem Solving Strategies! Polya’s Four Steps to Problem Solving Understand the problem Look back (reflect) Devise a plan Carry out the plan Polya, George. How To Solve It, 2nd ed. (1957). Princeton University Press. 30 Using the Polya Method, Solve This Problem Two painters can paint 2 rooms in 2 hours. If 12 rooms have to be painted in 6 hours, how many painters do you need? One Way to Figure the Answer: Rooms 2 12 Work Hours 4 24 Painters = P 6 Hours * P = 24 Work Hours 6P = 24 P=4 How Common Core Friendly is the Lesson Plan You Created for Homework? Does it Focus Where the Standards Focus? Do Students Use the Standards of Mathematical Practice? Does it Encourage Deep Understanding? Are Students Processors or Just Receptors of Information? 34 NAEPDC 2013 Common Core Myth Busters I am going to have to change everything I do! Common Core Help www.illustrativemathematics.org