Project ALPHA Summer Institute

1. Project ALPHA Summer Institute July 1, 2010 El Rancho High School WELCOME! Algebra Preparedness for Higher Achievement

2. Project Goals • Goals for students: • Understanding and enjoyment of math • Improve achievement • CST in grades 3-Algebra I, CAHSEE • More rigorous coursework • Goals for teachers: • Knowledge of math & how students learn • Changes in instruction Algebra Preparedness for Higher Achievement

3. California MSP Grant, Phase II • Professional Development • Minimum 60 “intensive” hours in summer • 80 hours offered • 24 follow up hours • Research Study • Intervention and comparison groups • Data on teacher & student learning, classroom practices Algebra Preparedness for Higher Achievement

4. Phase II Plan Algebra Preparedness for Higher Achievement

5. Benefits of Participation • Kids understand and enjoy math! • Classroom coaching • Summer training: • 80 hours at extra-duty/extra-pay rate • School-year stipend: • 2008-09: $800 • 2009-10: $1000 • 2010-11: $1200 Algebra Preparedness for Higher Achievement

6. Logistics • Pay schedule: October 1 paycheck • Sign-in sheets: Sign in by 8 AM • Homework: Due at sign-in • CSU Fullerton Extension Credit • Emergency contact information: • Tor @ (626) 353-6729 • ERHS Front Office @ 562-801-5355 (B104) Algebra Preparedness for Higher Achievement

7. Logistics, Continued • Breakfast sign-ups • Gate code (9603) • Copier, computer access in H-1 (5694) • Wireless: “linksys”, 198.188.205.2 • Restrooms: front office & faculty center • Water bottles • Lunch: Noon to 1 P.M., finish at 3:30 Algebra Preparedness for Higher Achievement

8. A Note About Grouping • Home groups: Mixed grade levels • Opportunity for articulation • Diverse backgrounds & learning styles • Collaboration: Grade level or course • Lesson Planning groups: Your choice • Independent work: Your choice Algebra Preparedness for Higher Achievement

9. Scavenger Hunt • Extend the pattern • Explain how you think it works: • At least three explanations • Include geometric connection • Take a picture illustrating the pattern: • Illustrate at least the first three numbers • Each picture at a different location • Each picture shows a different material Algebra Preparedness for Higher Achievement

10. Norms Algebra Preparedness for Higher Achievement

11. 2010 Institute Goals • Understand algebraic thinking, geometry • Develop lessons: • Algebraic thinking • Group work & technology • Prepare for collaboration and leadership with colleagues, administrators and parents • Instructional strategies • Curriculum planning for new textbook • Assessment and data analysis Algebra Preparedness for Higher Achievement

12. Calendar • Three algebra themes • Lesson planning • Grade-level collaboration, site planning • Independent work day: July 9 • Related to project’s themes • Curriculum planning, preparing manipulatives, technology follow-up • MCC and principals on July 13 • Homework Algebra Preparedness for Higher Achievement

13. Is ALPHA working? • Goals for Teachers: • Measurable gains in knowledge of math and how students think about it • Will measure differences in instruction(November 2010) • Goals for Students: • CST trends • Course-taking changes Algebra Preparedness for Higher Achievement

14. Algebra Preparedness for Higher Achievement

15. CST Trends Algebra Preparedness for Higher Achievement

16. CST Comparison Algebra Preparedness for Higher Achievement

17. Course-Taking Trends Algebra Preparedness for Higher Achievement

18. Course-Taking Trends II Algebra Preparedness for Higher Achievement

19. ERUSD Developments 2010-2011 • Elementary & Middle School: • New textbook, pacing guides and exams • Grade level reassignments • Common modified day meetings • RTI and instructional coaches for K-5 • Math Field Day & intervention programs • Advanced math program (Gr. 7 Algebra I) Algebra Preparedness for Higher Achievement

20. ERUSD Developments 2010-2011 • High School: • Backwards-mapping model • Algebra & geometry support classes • ALPHA Goals: • Sustainability and teacher leadership • MCC and ALPHA participants as core group of teacher leaders in math Algebra Preparedness for Higher Achievement

21. Questions? Algebra Preparedness for Higher Achievement

22. “Algebra” • What is algebra? • Why is it important? • What aspects of algebra can be taught in grades K-7? Algebra Preparedness for Higher Achievement

23. Historical Notes • Al-Khwarizmi (c. 800) (“al-jabr”)Compendious Book on Calculation by Completing and Balancing • Development of modern notation: • Equal sign: Robert Recorde, 1557 • Variables: a, b, c vs. x, y, zDescartes, 1650’s • Functions: f(x) Euler, 1750’s Algebra Preparedness for Higher Achievement

24. Summer Institute’s Math Content Themes: “Algebraic Thinking” • Algebra as …. • Generalization and justification • Finding unknowns • Reasoning about quantitative relationships (functions) • Geometry connections Algebra Preparedness for Higher Achievement

25. Outcomes • Portfolio: • Conjecture and generalization • Functions problem • Notation/vocabulary research • Site and personal action plans • Overall reflection • Lesson Plan • Collaboration Notebook Algebra Preparedness for Higher Achievement

26. Uncommon Commonalities • Rectangle in middle • Connect to 4 corners, number 1-4 • When it’s your turn: • Suggest something your group might have in common • Record in the space corresponding to the number of people with that characteristic • Create a group name Algebra Preparedness for Higher Achievement

27. Get It Together • Each person responsible for his or her own clue • Share your information with the whole group • Find a solution that matches all of the clues Algebra Preparedness for Higher Achievement

28. Algebra Preparedness for Higher Achievement