Meeting Hs Mathematics

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 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


5 1st Semester 2nd Semester□____________ □______________




6 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

mailto:[email protected]

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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.

[email protected]

Janet Haas, Ed.D.

[email protected]