meeting hs mathematics
TRANSCRIPT
October 30, 2007 2:08 p.m. 1
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
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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
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Livonia Career Technical Center Programs
2-Hour Programs
Architectural Technology CADCisco AcademyCosmetology (contracted)Digital ImagingEngineering Technology(CAD)Fashion MerchandisingManagement & Business
AdminMedical AssistingMedical OccupationsNetwork AdministrationSports MedicineWeb Page Design &
Interactive Media
3-Hour Programs
Automotive TechnologyBuilding TradesCriminal JusticeHospitality ManagementResidential Construction
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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%)
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LCTC Enrollment 2007-2008
842 students
(26 9-10th grade P.A.V.E. - not CTE)
– 230 11th graders (15.2% of 1511) – 586 12th graders (39.4% of 1489)
How do we continue to enroll 11th 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) ?
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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
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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
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So, how does LCTC “fit in”?
20 hours on-line learning – 11th and/or 12th grades
1 credit Visual, Performing, or Applied Arts Algebra II (.5 credit) in the 11th Grade Senior year – math related course .5 Health Credit (if enrolled in LCTC Health
Sciences)
LIVONIA PUBLIC SCHOOLSFOUR-YEAR PLAN
HIGH SCHOOL REQUIREMENTS WITH LCTC ELECTIVESBeginning with the 2011 Graduating Class
NINTH GRADE TENTH GRADE ELEVENTH GRADE TWELFTH GRADE
1st
Semester 2nd
Semester 1st
Semester 2nd
Semester 1st
Semester 2nd
Semester 1st
Semester 2nd
Semester
One
English Language Arts 9
English Language Arts 10
English Language Arts 11
English Language Arts Choice
English Language Arts Choice
Two
Biology
Chemistry
Physical Science OR Physics
Three
World History
U. S. History
American Govt. Economics
Four
Personal Fitness
Health (If not
enrolled in medical class
at LCTC)
LCTC
3 Hour Block***
LCTC
3 Hour Block
Five
**** ****
Six
Geometry
Algebra I
2 Hour Block Both 2 & 3 hr block classes meet the following requirements -.5 Credit of Algebra II* -1.0 Credit of Applied Arts ** -20 hours of online computer Experience (All Programs) -.5 credit of health (if enrolled in a medical LCTC class) *Upon completion of 11th grade, students in LCTC programs will need a Personal Curriculum Plan to receive the Algebra II credit if they do NOT intend to complete Algebra II/semester 2 content expectations.
2 Hour Block
Both 2 & 3 hr block classes meet the following requirements: -1.0 Credit Math – Related Requirement (for Seniors only) -1.0 Credit of Applied Arts ** -20 hours of online computer experience -.5 credit of health (if enrolled in a medical LCTC class)
Key
-Elective Classes
****
World Languages (Requirement begins with
2016 graduating class)
****
World Languages (Requirement begins with
2016 graduating class)
**See approved program list ***Students who will need the 3rd semester of Intermediate Algebra will be enrolled in a math class concurrently with one of the three hour LCTC block classes.
-1 Year Classes
English Language Arts 9English Language Arts 10English Language Arts 11BiologyChemistryPhysical Science ORPhysicsWorld HistoryU. S. HistoryGeometryAlgebra I
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*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:_______
Grade 9 Grade 10 Grade 11 Grade 12
1 English Language Arts□ English Language Arts 9B□ English Language Arts 9□ Accelerated English Lang Arts 9
English Language Arts□ English Language Arts 10B□ English Language Arts 10□ Accelerated English Lang Arts 10
English Language Arts□ English Language Arts 11B□ English Language Arts 11□ Accelerated English Lang Arts 11
English Language Arts□ Choice□ Choice□ AP English Language Arts12
2 Mathematics□ Geometry B□ Geometry □ Accelerated Geometry
Mathematics□ Algebra I B□ Algebra I□ Accelerated Algebra II
Mathematics□ Intermediate Algebra□ Algebra II□ *.5 Algebra II (enrolled @ LCTC Personal Curriculum Plan)□ Accelerated Analysis
Mathematics□ Algebra II B□ Pre Calc □ AP Calc□ Math or Math related course□ Technical Math enrolled @LCTC
3 Science□ Biology B□ Principles of Biology□ Biology
Science□ Chemistry B□ Principles of Chemistry□ Chemistry
Science□ Physical Science□ Principles of Physics□ Physics
1st Semester 2nd Semester□____________ □______________
4 Social Studies□ World History B□ World History
Social Studies□ U. S. History B□ U. S. History□ AP U. S. History
Social Studies□ Government B/Economics B□ Government/Economics□ AP Government/Economics
1st Semester 2nd Semester□____________ □______________
5 1st Semester 2nd Semester□____________ □______________
1st Semester 2nd Semester□____________ □______________
1st Semester 2nd Semester□____________ □______________
1st Semester 2nd Semester□____________ □______________
6 1st Semester 2nd Semester□____________ □______________
1st Semester 2nd Semester□____________ □______________
1st Semester 2nd Semester□____________ □______________
1st Semester 2nd Semester□____________ □______________
REQUIRED (Electives must include the following):□ .5 Physical Education 20 hrs. on line experience□ .5 Health will be included in AcademicOR (enrolled @LCTC Medical Program) courses.□ 1.0 Visual, Performing, Applied □ 2.0 World Languages (beginning Class of 2016)
□ Student has been made aware of Career Technical Education programs leading to career options.*Personal Curriculum Plan (attached)______________________________________ 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 pathways1. ___________________________2. ___________________________3. ___________________________4. ___________________________
Career Pathways (Goals from Assessment results)
1. _____________________________________
2. _____________________________________
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
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√ 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
1. Applied Mathematics2. Reading for Information3. Locating Information
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√ 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
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Create, Present, Respond
COURSE TITLE Architectural Drafting/CAD COURSE NO. 636
CREATEC.1Engage in full iterative cycles of the artistic/creative process by problem seeking, exploring, making analytical application, aesthetic, and design choices, before completionCOURSE 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
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√ Senior Math Related Credit (1.0)
Using PLC’s and Professional Development
1) Alignment of Work Keys – Levels 3,4,5,6 with Michigan GLCE’s (using CTE-STAR)
Gregg Chandler e-mail: [email protected]
And
2) Alignment of Michigan GLCE’s with CTE program math content
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Why Algebra II?
June 2007 graduates
698 students out of 1412 graduates have passed Algebra II→ 714 or 50.6% of graduates have not
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√ 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
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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
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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.
1 credit 1 credit 1 credit 1 credit Total Credits
MMC without PC Algebra I, Algebra II and Geometry (no sequence required)
Final year math ormath-related credit
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Modification aftersuccessful completion of 2 math creditsallowing Algebra II tobe taken over two years
Algebra I and Geometry (no sequence required)
Algebra II
4
Modification after successful completion of minimum of 2.5 math credits
Students required to takeGeometry and Algebra I
Algebra II½ credit
Math or math-related credit4
Modification after successful completion of 2 math credits
Algebra I and Geometry (no sequence required)
Algebra II contentIn CTE
Math or math-related credit
4
Allowable Math ModificationsPersonal Curriculum Plan
October 23, 2007
High School Personal Curriculum Guidelines
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11th Grade Student Algebra II Options
2 Hr LCTC Blocks
a) Take Algebra II (1.0) at home high school
b) Take Algebra II (1st semester
content = .5 credit) with a Personal Curriculum Plan
3 Hr LCTC BlocksMust Take Algebra II (.5) with a P.C.P.
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Algebra II - Implementation
Target Date 2009-2010 for credit to be counted in State approved LCTC/CTE programs
Current 9th graders will be 11th graders
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Step 1 - Collaboration
NCLB
Contract with highly qualified Mathematics Instructor
Adele SobaniaU of M – DearbornAssistant 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
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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
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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
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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
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PD (continued)
“Unpacking” the Algebra II content into major units
Present strategies for teaching the Algebra II content
Present strategies for monitoring student mastery
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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 – 1st 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
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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.
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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 sandwichDrink: milk, orange juiceDessert: fruit, frozen yogurt, pie, pudding
Find all the possible lunches Mrs. Suarez might purchase.
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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.
A) The developer of the kit claims that it can produce billions of different faces. Is this claim true?
B) 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?
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Algebra II - formulas
n! = n·(n-1)·(n-2)·…·3·2·1
nCr = __n!__
(n-r)!·r!
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Graphing Calculators
School Bus Yellow
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Resource - Cord Algebra II Textbook
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Cord Algebra II - Career Pathways
Math applications include Career Pathways:
BMMTHealth ServicesEMITHuman ServicesNatural Resources & Agriscience
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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
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Algebra II for Dummies
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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
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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 TutorCarnegie LearningPittsburgh, PA 15129www.carnegielearning.com
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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
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Step 7 Feedback
School District Developed Assessments
Required Annual Review (CTE teachers/Highly qualified mathematics teacher)
Required Annual Report to School District
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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
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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
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Tracking Form (continued)
Strand A3 Mathematical Modeling
A3.1 Models of Real-World Situations Using Families of functions
______0_______1_______2
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Step 8 Support
Follow-up and support to LCTC teachers by highly qualified math teacher
Implementation 2009-2010
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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
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Part 2: Regional Implementation
The Plan
“We all teach students
not programs.”
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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)
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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
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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
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Regional Assistance
Regional CTE Administrator
CTE Curriculum Consultant
Highly Qualified Mathematics Consultant
Professional Learning Communities
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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
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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
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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 7th 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 – 4th year math related; d .5 Algebra II; and/ore .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
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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
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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
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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
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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
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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
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In Closing….
Questions?
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Thank You!!!
Contact Information
Halyna Bialczyk, Ed.D.
Janet Haas, Ed.D.