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

2.  Algebra Preparedness for Higher Achievement 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

3.  Algebra Preparedness for Higher Achievement 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

4.  Algebra Preparedness for Higher Achievement Phase II Plan 2008-092009-102010-11 Content Whole Number Problem- Solving Rational Numbers Probability Algebraic Thinking Geometry Instruction Backward Mapping Lesson Study Lesson Planning Assessment CST Student Work Formative Assessment Benchmarks Written Response Collaboration Coaching Peers Parents Principals Leadership

5.  Algebra Preparedness for Higher Achievement 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

6.  Algebra Preparedness for Higher Achievement 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)

7.  Algebra Preparedness for Higher Achievement 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

8.  Algebra Preparedness for Higher Achievement 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

9.  Algebra Preparedness for Higher Achievement 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

10.  Algebra Preparedness for Higher Achievement Norms

11.  Algebra Preparedness for Higher Achievement 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

12.  Algebra Preparedness for Higher Achievement 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

13.  Algebra Preparedness for Higher Achievement 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

14.  Algebra Preparedness for Higher Achievement

15.  CST Trends

16.  Algebra Preparedness for Higher Achievement CST Comparison

17.  Algebra Preparedness for Higher Achievement Course-Taking Trends 2003-20042009-2010 Grade 9 – Alg I or Higher74%100% Grade 10 – Geo or Higher41%58% Grade 11 – Alg II or Higher39%48%

18.  Algebra Preparedness for Higher Achievement Course-Taking Trends II 2003-20042009-2010 Grade 12 – Taking math76%45% Grade 12 – Still finishing Alg I34%9% Grade 12 – Pre-calc or higher24%52%

19.  Algebra Preparedness for Higher Achievement 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)

20.  Algebra Preparedness for Higher Achievement 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

21.  Algebra Preparedness for Higher Achievement Questions?

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

23.  Algebra Preparedness for Higher Achievement 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, z Descartes, 1650’s –Functions: f(x) Euler, 1750’s

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

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

26.  Algebra Preparedness for Higher Achievement 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

27.  Algebra Preparedness for Higher Achievement 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

28.  Algebra Preparedness for Higher Achievement