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Meeting Hs Mathematics Meeting Hs Mathematics Presentation Transcript

  • Meeting the State of Michigan’s High School Requirements One Credit at a Time Livonia Career Technical Center LIVONIA PUBLIC SCHOOLS Wayne Regional Education Service Agency
  • High School Requirements Beginning with the Class of 2011
    • English Language Arts – 4 credits
    • Mathematics – 4 credits - Geometry, Algebra I and Algebra II (or equivalent) with a math-related class in the final year .
    • Science – 3 credits; Biology, Chemistry or Physics, and one additional science credit
    • Social Studies – 3 credits; World History, U.S. History, American Govt. / Economics
    • Personal Fitness/Health - 1.0 credit (.5 each course)
    • Visual, Performing, and/or Applied Arts –
    • 1.0 credit
    • On-line learning – 20 hours
  • Livonia Career Technical Center Programs
    • 2-Hour Programs
    • Architectural Technology CAD
    • Cisco Academy
    • Cosmetology (contracted)
    • Digital Imaging
    • Engineering Technology(CAD)
    • Fashion Merchandising
    • Management & Business Admin
    • Medical Assisting
    • Medical Occupations
    • Network Administration
    • Sports Medicine
    • Web Page Design & Interactive Media
    3-Hour Programs Automotive Technology Building Trades Criminal Justice Hospitality Management Residential Construction
  • Livonia Career Technical Center Articulation with Area Colleges
    • Ferris State University
    • Baker College
    • Davenport University
    • Madonna University
    • Schoolcraft College
    • Henry Ford Community College
    • Follow-up of 2006 Graduates:
    • LPS: 815 completers, 728 responders, 597 continuing their education (82.2%)
    • LCTC: 427 completers, 413 responders, 333 continuing education (81%)
  • LCTC Enrollment 2007-2008
    • 842 students
    • (26 9-10 th grade P.A.V.E. - not CTE)
      • 230 11 th graders (15.2% of 1511)
      • 586 12 th graders (39.4% of 1489)
    • How do we continue to enroll 11 th graders when they have a six-hour day , four academic requirements , and limited choices for electives in their career pathway (with a three-hour LCTC class ) ?
  • Additional Legislation Impacting CTE Programs
    • The Carl D. Perkins CTE Improvement Act of
    • 2006: ( Perkins IV)
    • Challenging academic content standards
    • Student placement in postsecondary education, advanced training, military service or employment
  • Additional Legislation Impacting CTE Programs (continued)
    • *Technical competencies aligned with industry standards ( statewide CTE assessments)
    • *“Career and technical programs of study” built on career pathways and career cluster initiatives
    • * New requirements as of Perkins IV
  • So, how does LCTC “fit in”?
    • 20 hours on-line learning – 11 th and/or 12 th grades
    • 1 credit Visual, Performing, or Applied Arts
    • Algebra II (.5 credit) in the 11 th Grade
    • Senior year – math related course
    • .5 Health Credit (if enrolled in LCTC Health Sciences)
  • LIVONIA PUBLIC SCHOOLS FOUR-YEAR PLAN HIGH SCHOOL REQUIREMENTS WITH LCTC ELECTIVES Beginning with the 2011 Graduating Class English Language Arts 9 English Language Arts 10 English Language Arts 11 Biology Chemistry Physical Science OR Physics World History U. S. History Geometry Algebra I
  • *EDP Requirement as stated in Legislation
    • “. . . each pupil in grade 7 is provided with the opportunity to develop an educational development plan (EDP), . . . has developed an educational plan before he or she begins high school . . . . and shall be based on a career pathways program or similar career exploration.”
    • * HB5606 (11), April 2006
  • LIVONIA PUBLIC SCHOOLS STUDENT NAME:_______________________________DATE:_______ EDUCATIONAL DEVELOPMENT PLAN STUDENT SIGNATURE:__________________________DATE:_______ PARENT SIGNATURE:___________________________DATE:_______ COUNSELOR SIGNATURE:_______________________DATE:_______ The Livonia Public Schools School District prohibits unlawful discrimination on the basis of race, color, religion, sex, national origin, age, height, weight, marital status, handicap, or disability in any of its educational programs or activities. The following person has been designated to handle inquiries regarding the nondiscrimination policies: Director of Human Resources, 15125 Farmington Road, Livonia, MI 48154, 734-744-2500. DRAFT 01/11/07
    • Possible Occupations/Career by selected pathways
    • ___________________________
    • ___________________________
    • ___________________________
    • ___________________________
    • Career Pathways (Goals from Assessment results)
    • _____________________________________
    • _____________________________________
    Educational/Training Goals ___2 yr associate’s degree ___Trade/Technical School ___4 yr bachelor’s degree ___Doctoral degree ___Master’s degree ___Apprenticeship ___On the job training ___Military ___Other □ Student has been made aware of Career Technical Education programs leading to career options. *Personal Curriculum Plan (attached)______________________________________ Date REQUIRED (Electives must include the following): □ .5 Physical Education 20 hrs. on line experience □ .5 Health will be included in Academic OR (enrolled @LCTC Medical Program) courses . □ 1.0 Visual, Performing, Applied □ 2.0 World Languages (beginning Class of 2016) 1 st Semester 2 nd Semester □ ____________ □______________ 1 st Semester 2 nd Semester □ ____________ □______________ 1 st Semester 2 nd Semester □ ____________ □______________ 1 st Semester 2 nd Semester □ ____________ □______________ 6 1 st Semester 2 nd Semester □ ____________ □______________ 1 st Semester 2 nd Semester □ ____________ □______________ 1 st Semester 2 nd Semester □ ____________ □______________ 1 st Semester 2 nd Semester □ ____________ □______________ 5 1 st Semester 2 nd Semester □ ____________ □______________ Social Studies □ Government B/Economics B □ Government/Economics □ AP Government/Economics Social Studies □ U. S. History B □ U. S. History □ AP U. S. History Social Studies □ World History B □ World History 4 1 st Semester 2 nd Semester □ ____________ □______________ Science □ Physical Science □ Principles of Physics □ Physics Science □ Chemistry B □ Principles of Chemistry □ Chemistry Science □ Biology B □ Principles of Biology □ Biology 3 Mathematics □ Algebra II B □ Pre Calc □ AP Calc □ Math or Math related course □ Technical Math enrolled @LCTC Mathematics □ Intermediate Algebra □ Algebra II □ *.5 Algebra II (enrolled @ LCTC Personal Curriculum Plan) □ Accelerated Analysis Mathematics □ Algebra I B □ Algebra I □ Accelerated Algebra II Mathematics □ Geometry B □ Geometry □ Accelerated Geometry 2 English Language Arts □ Choice □ Choice □ AP English Language Arts12 English Language Arts □ English Language Arts 11B □ English Language Arts 11 □ Accelerated English Lang Arts 11 English Language Arts □ English Language Arts 10B □ English Language Arts 10 □ Accelerated English Lang Arts 10 English Language Arts □ English Language Arts 9B □ English Language Arts 9 □ Accelerated English Lang Arts 9 1 Grade 12 Grade 11 Grade 10 Grade 9
  • √ 20 hours on-line learning
    • Teachers LCTC utilize computer lab for multiple reasons:
    • Blackboard (free through WCRESA)
    • ( 5 classrooms have full computer labs)
    • KeyTrain.com
        • NCA goal
        • Partial requirement for senior math related credit
        • Career Readiness Certificate
            • Applied Mathematics
            • Reading for Information
            • Locating Information
  • √ Visual, Performing, and Applied Arts
    • 1.0 Credit
    • LCTC and H.S. CTE programs have cross walked with State Standards to get CTE courses VPAA approved by Livonia Public Schools
  • Create, Present, Respond
    • COURSE TITLE Architectural Drafting/CAD
    • COURSE NO . 636
    • CREATE
    • C.1Engage in full iterative cycles of the artistic/creative process by problem seeking, exploring, making analytical application, aesthetic, and design choices, before completion
    • COURSE EVIDENCE : Specific evidence from course content expectations – units of study, activities, projects, etc, that supports the given strand.
    • Course evidence : Students will use proper drawing techniques to create working drawings to represent objects, parts and ideas, Students will go through a process in deciding how the shapes will be drawn and what type of drawings will give the best information to the audience. Students will participate in several design projects that will involve student doing research, brainstorming, and creating working drawings of their ideas. As an example, students will sketch a preliminary design of a floor plan and then draw it to scale. Students will also create a 3D model of this design using CAD software.
  • CTE (approved and non-approved) District Approved VPA Courses Receiving Credit
    • Family and Consumer Science
    • 604- Sewing 1
    • 605 – Sewing II
    • 606- Open Sewing
    • 608 – Creative Design Projects
    • 610 – Foods 1
    • 611 – Foods 2
    • 612 – Foods 3
    • 617 – Interior Design
    • Industrial Technology
    • 634- Introduction to Drafting
    • 636 - Architectural Drafting
    • 638 – Mechanical Drafting
    • 652 – Introduction to Woods
    • 653 – Advanced Woods
    • Business
    • 590 - Software Media Management
    • 591 - Advanced Software Media Management
    • 592 - Digital Media Management
    • 593 - Interactive Media Management
    • LCTC
    • 928 – Hospitality Management (Culinary Arts at FHS)
    • 929 – Hospitality Management (Culinary Arts at FHS)
    • 938 - Digital Imaging and Design I
    • 939 - Digital Imaging and Design II
    • 904 – Website Design with Interactive Media I
    • 905 – Website Design with Interactive Media II
    • 920 – Fashion Merchandising I
    • 921 – Fashion Merchandising II
    • 926 – Cosmetology I
    • 927 – Cosmetology II
    • 940- Architectural Technology/CAD
    • 942 – Engineering Technology/CAD
  • √ Senior Math Related Credit (1.0)
    • Using PLC’s and Professional Development
    • Alignment of Work Keys – Levels 3,4,5,6 with Michigan GLCE’s (using CTE-STAR)
    • Gregg Chandler e-mail: [email_address]
            • And
    • 2) Alignment of Michigan GLCE’s with CTE program math content
  •  
  •  
  •  
  • Why Algebra II?
    • June 2007 graduates
    • 698 students out of 1412 graduates have passed Algebra II -> 714 or 50.6% of graduates have not
  • √ Algebra II at LCTC
    • A student could take .5 credits in Algebra II within a 1 year CTE program at LCTC and meet the high school requirement for Algebra II with a personal curriculum plan
  • A Plan for students
    • Modification allowed to High School Graduation Requirements –
    • through the use of a
    • Personal Curriculum Plan
    • Pupil, parent, counselor along with Superintendent or designee must agree to modification
    • Teacher must communicate with parent at least one time per calendar quarter
  • Section 380.1278b of the Revised School Code
    • The Algebra II credit required under that section may be modified as part of a personal curriculum, under this subsection only if the pupil has successfully completed at least 2 credits of the mathematics credit required under section 1278a(1)(a)(i) or and meets one of the following:
    • (iii) enrolls in a formal career and technical education program or curriculum, and in that program or curriculum, successfully completes the same content as 1 semester of Algebra II as determined by the department.
  • Allowable Math Modifications Personal Curriculum Plan October 23, 2007 High School Personal Curriculum Guidelines 4 Math or math-related credit Algebra II content In CTE Algebra I and Geometry (no sequence required) Modification after successful completion of 2 math credits 4 Math or math-related credit Algebra II ½ credit Students required to take Geometry and Algebra I Modification after successful completion of minimum of 2.5 math credits 4 Algebra II Algebra I and Geometry (no sequence required) Modification after successful completion of 2 math credits allowing Algebra II to be taken over two years 4 Final year math or math-related credit Algebra I, Algebra II and Geometry (no sequence required) MMC without PC Total Credits 1 credit 1 credit 1 credit 1 credit
  • 11 th Grade Student Algebra II Options
    • 2 Hr LCTC Blocks
    • a) Take Algebra II (1.0) at home high school
    • b) Take Algebra II (1 st semester
    • content = .5 credit) with a Personal Curriculum Plan
    • 3 Hr LCTC Blocks
        • Must Take Algebra II (.5) with a P.C.P.
  • Algebra II - Implementation
    • Target Date 2009-2010 for credit to be counted in State approved LCTC/CTE programs
    • Current 9 th graders will be 11 th graders
  • Step 1 - Collaboration
    • NCLB
    • Contract with highly qualified Mathematics Instructor
    • Adele Sobania
    • U of M – Dearborn
    • Assistant Director of the Center for Mathematics Education
    • 313-583-6348
    • Highly qualified teacher collaborates with CTE teacher in determining Algebra II content, applications, and assessments
  • Collaboration (continued)
    • What are the mathematics in the applications that the CTE courses are using?
    • Identify all math used in current CTE programs
    • Crosswalk CTE math with High School Content in Algebra II – semester 1
    • Adopt and adapt Algebra II content to the CTE programs
  • Step 2 – Staff Buy In?
    • How do I get my staff to participate in the development of the Algebra II content?
    • Use of Extended Staff Meetings
    • Use of Curriculum Days/Professional Development Days
    • Use of Professional Learning Communities
  • Step 3 - Professional Development (in progress)
    • Professional Development for Teachers –
    • Focus on Algebra Content and Concepts that will be incorporated in the courses :
    • Mini Courses
    • Modeling
    • Mentoring
    • Team Teaching/Collaboration
  • PD (continued)
    • “ Unpacking ” the Algebra II content into major units
    • Present strategies for teaching the Algebra II content
    • Present strategies for monitoring student mastery
  • Step 4 - Curriculum Development
    • Teachers have created notebook binders
    • LCTC Algebra II Binder
    • Modules using the equivalent of the State of Michigan’s Algebra II – 1 st semester standards
    • Ms. Sobania participates in Advisory meetings and collaborates with teachers on CTE concepts
    • Ms. Sobania provides concepts with examples from the standards of Algebra II
  • Curriculum Development (continued)
    • Teachers practice the examples with each other then create problems from their career field as practical examples to use in the classroom
    • Teachers practice the lesson with current classes/students ; student responses are noted.
  • Algebra II - example
    • Permutations and Combinations
    • Mrs. Suarez is choosy about what she eats. When she buys lunch in the company cafeteria, she considers only these options:
    • Main courses : salad, pizza, turkey sandwich
    • Drink : milk, orange juice
    • Dessert : fruit, frozen yogurt, pie, pudding
    • Find all the possible lunches Mrs. Suarez might purchase.
  • Algebra II – Permutations and Combinations (continued)
    • Police use photographs of facial features to help witnesses identify suspects. One basic identification kit contains 190 hairlines, 80 eyes and eyebrows, 105 mouths, and 73 chins and cheeks .
      • The developer of the kit claims that it can produce billions of different faces. Is this claim true?
      • A witness can clearly remember the hairline and the eyes and eyebrows of a suspect. How many different faces can be produced with this information?
  •  
  • Algebra II - formulas
    • n! = n ·(n-1)·(n-2)·…·3·2·1
    • n C r = __ n! __
    • (n-r)!·r!
  • Graphing Calculators
    • School Bus Yellow
  • Resource - Cord Algebra II Textbook
  • Cord Algebra II - Career Pathways
    • Math applications include Career Pathways:
            • BMMT
            • Health Services
            • EMIT
            • Human Services
            • Natural Resources & Agriscience
  • Cord Algebra II
    • Contextual based –
    • Different learning styles
    • Real world applications
    • Answers the “why” and “when”
    • Workplace situations demonstrate how mathematical concepts are applied
    • Co-operative learning
    • Math labs – students gather data and apply the concepts
  • Algebra II for Dummies
  • Step 5 – And, how will we teach Algebra II?
    • A Plan for the year
    • Math Days in each program– specific days per week
    • Time w/i the class each day
    • Team Teach within pathways
    • Small Group Intervention
  • Step 5 - continued
    • DVD recording of specific concepts by Adele Sobania or Janet Haas
    • Commercial DVD recordings:
          • The Teaching Company
          • High School Level—Algebra II (30 lectures, 30 minutes/lecture) Course No. 102 Taught by Murray H. Siegel The South Carolina Governor's School for Science & Mathematics Ph.D., Georgia State University
    • Software: Cognitive Tutor
          • Carnegie Learning
          • Pittsburgh, PA 15129
          • www.carnegielearning.com
  • Step 6 - Algebra II Assessment Process
    • Identify the assessment tool
    • Teachers will be encouraged to take the assessment test
    • With the student results from the assessment test, teachers will reflect strategies for areas needing improvement
    • PLC – monitoring for improvement and identifying future professional development needs
  • Step 7 Feedback
    • School District Developed Assessments
    • Required Annual Review (CTE teachers/Highly qualified mathematics teacher)
    • Required Annual Report to School District
  • Progress Level “In District Report”
    • 0 Not Evident There is no evidence of progress
    • 1 Developing There is evidence of progress
    • 2 Demonstrated There is evidence of proficiency
  • Student Tracking Form
    • Algebra II (.5 credit)
    • Strand A1: Expressions, Equations, and Inequalities
    • A1.1.4 Add, subtract, multiply, and simplify polynomials and rational expression
    • ____0 ____1____2
  • Tracking Form (continued)
    • Strand A3 Mathematical Modeling
    • A3.1 Models of Real-World Situations Using Families of functions
            • ______0_______1_______2
  • Step 8 Support
    • Follow-up and support to LCTC teachers by highly qualified math teacher
    • Implementation 2009-2010
  • Regional Assistance to the High School Requirements
    • Regional CTE Administrator/Dr. Bialczyk
    • CTE Curriculum Consultant/Donna Bogataj
    • Highly Qualified Mathematics Consultant
    • Professional Learning Communities
    • *Wayne County School Counseling Association
    • * Association lead by Wayne County School Counselors with RESA as a member
  • Part 2: Regional Implementation
    • The Plan
    • “ We all teach students
    • not programs.”
  • Region 25 – CTE Delivery Systems
    • 45 Public School Districts
    • (42 Districts & 3 Charter Schools)
    • 4 Career Technical Education Centers
    • 50 Comprehensive High Schools
    • 3 Career Technical Education Consortiums
    • *223 CTE Programs and 27 CIP Codes
    • * Approx. Regional Totals (Wayne & Monroe Counties)
  • Critical Foundation for Student Success and Why
    • Meet K-8 Grade Level Expectations and High School Requirements including Academic Content Expectations
    • Comprehensive Guidance and Counseling including Career Development Process of EDP’s
    • Strong 4- and 5-year EDP Career Pathway Models
  • Regional CTE Secondary Student HS Requirements Success
    • Career Development Process to meet the Michigan EDP HS Requirement –Wayne and Monroe Counties School Counseling Associations
      • Mich. Comprehensive Guidance and Counseling
      • Electronic Career Info and EDP Software
      • (CareerCruising)
      • 5-Year and 4+2+2 Student Plans
    • KeyTrain to support Workplace Academic Readiness Skills
      • Current State HS Exam (assessment includes ACT WorkKeys)
      • Career Readiness Certificate
  • Regional Assistance
    • Regional CTE Administrator
    • CTE Curriculum Consultant
    • Highly Qualified Mathematics Consultant
    • Professional Learning Communities
  • Regional CTE Administrator
    • Collaboration with Statewide CTE Admin. and Related Secondary HS Requirement Consultants
    • Monthly CTE Directors’ Meetings/PLCs includes updates, best practices, and strategic planning
    • Assist all local CTE programs in implementing Perkins IV requirements including statewide CTE standards and CPI documentation
    • Conduct Training and Regional Assessments of CTE Programs
  • CTE Curriculum Consultant
    • Disseminates new information and legislative changes to Regional teachers as they become available
    • Acts as a collection center for materials developed to assist all teachers in the Region
    • Schedules and facilitates Professional Learning Community meetings as needed
  • Suggestions in Developing a 5-year Plan to include CTE Programs Aligned with HS Requirements
    • 1. Begin Career Development Process including an EDP starting in 7 th grade (In Michigan, this could meet the 20-hour on-line learning).
    • 2. Identify credits students have met/may be able to meet before entering high school—Ex. On-line and Algebra 1.
    • 3. List CTE courses meeting varied high school credit requirements:
    • a. On-line; b. Visual, Performing, or Applied Arts;
    • c. Senior year – 4 th year math related; d .5 Algebra II; and/or
    • e .5 Health Credit ( based on instructor credential in Health Sciences) CRITICAL: follow process for Board approval .
    • 4. For each Career Pathway/Pathway Cluster offered, create a template to include CTE program course(s) along with the added requirements they fulfill, and then all other required courses. Pathway/Pathway Cluster templates
  • Senior Math-Related
    • Highly Qualified Teacher - Collaborative Teaching Model
    • Using PLC’s, identify mathematics content within CTE programs
    • Aligns mathematics content in CTE programs with 6 – 8 mathematics content
    • Presentation of alignment to local School District officials for approval
  • Algebra II – Semester 1
    • Determination of whether Algebra II will be taught in a CTE program
    • With the Livonia Pilot, the region will parallel the course content and professional development with CTE programs offering Algebra II – Semester I credit
  • Professional Learning Communities (PLC)
    • PLC will be the structure for implementing the collaborative teaching model
    • Provide in-service for teachers
    • Prepare strategies and identify tools/resources to support Algebra II in CTE programs
    • “ Unpacking” the Algebra II content into major units
    • Present strategies for teaching the Algebra II content
    • Present strategies for monitoring student mastery
  • Algebra II Assessment Process
    • Identify the assessment tool
    • Teachers will be encouraged to take the assessment test
    • With the student results from the assessment test, teachers will reflect strategies for areas needing improvement
    • PLC – monitoring for improvement and identifying future professional development needs
  • Supplemental Resource Websites
    • Michigan High School Requirements, etc.
    • www.michigan.gov/mde
    • Michigan Technical Standards Initiative
    • www.mccte-fsu.org
    • ACT: Career Readiness Certificate
    • www.act.org/certificate/index.html
  • In Closing….
    • Questions?
  • Thank You!!!
    • Contact Information
    • Halyna Bialczyk, Ed.D.
    • [email_address]
    • Janet Haas, Ed.D.
    • [email_address]