PA Core Standards and Academic Integration

Mrs. Michelle BonserMrs. Joann GomezMr. James GranahanMr. Patrick McHaleDr. Carolyn ShegelskiMr. Frank Zaso

Monroe Career & Technical Institute

23 Programs at MCTI• Auto Collision Repair• Automotive Technology• Building Trades

Maintenance• Carpentry• Computer Networking &

Security• Computerized Machine

Tool Technology• Cosmetology• Criminal Justice• Culinary Arts• Diesel Technology• Drafting & Design

Technology

• Electrical Technology• Electronics Technology• Graphic Communications• Health Professions• Horticulture• Hotel, Resort, & Tourism

Management• HVAC• Marketing• Masonry• Plumbing Technology• Power Equipment

Technology• Welding Technology

Topics• PA Core Standards in MCTI Learning Guides • Meeting the PA Core Standards in Reading• Meeting the PA Core Standards in Writing • Adding PA Core Standards of Mathematical Practice

to CTE Math Content

Integrating Academic Standards at MCTI

Instructors teaching CTE program tasks and helping students to make connections to academic content standards so that students are college and career ready.

PA Core Standards in the Learning Guides

Learning Guides

Updated Learning Guides in 2013

•PA Core Standards ▫ BCTE put out a list of correlated ELA (reading and writing)

and Math content standards for some programs.▫ Coaches correlated ELA and Math PA Core

Standards with programs that were not included using their knowledge and expertise.

•Updated PA Content Standards Coaches put in correlating Science, CEW, Business,

Technology, Art, Health and Physical Education, etc. content standards.

PA Core Standards for ELA & Math in the Learning Guides

• Focus Standards I & II▫English Language Arts (ELA) – reading and

writing▫Problem Solving, Measurement, and

Calculation Some Algebra and Geometry for those programs

who have more advanced math content• Connecting Standard

▫Grades 5-8 Math Standards that students are expected to already know so they are prepared to learn the mathematics that is part of their trade area or industry.

MCTI Website

•www.monroecti.org▫Programs tab

www.guides4learning.com

ELA Found in Many Programs• Cite specific textual evidence to support analysis of

science and technical texts…• Follow precisely a complex multistep procedure

when carrying out experiments, taking measurements, or performing technical tasks…

• Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context…

• Integrate and evaluate multiple sources of information …

• Produce clear and coherent writing…• Write informative/explanatory texts…

Math Found in Many Programs•Apply properties of rational and irrational

numbers to solve real world or mathematical problems.

•Use units as a way to understand problems and to guide the solution of multi-step problems.

•Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

•Extend the knowledge of arithmetic operations and apply to complex numbers.

Math Found in Some Programs

•Summarize, represent, and interpret data…

•Analyze relationships between two-dimensional and three-dimensional objects.

•Apply trigonometric ratios to solve problems involving right triangles.

Grades 5-7 Basic Math Standards that Students Should Already Know

• Identify and choose appropriate processes to compute fluently with multi-digit numbers.

• Model and solve real-world and mathematical problems …

• Solve problems using conversions within a given measurement system.

• Apply and extend previous understandings of numbers to the system of rational numbers.

• Analyze proportional relationships and use them to model and solve real-world and mathematical problems.

Some Programs Need Students to Know Grades 6-8 Geometry•Apply appropriate tools to solve real-

world and mathematical problems involving area, surface area, and volume.

•Solve real-world and mathematical problems involving angle measure, area, surface area, circumference, and volume.

•Understand and apply the Pythagorean Theorem to solve problems.

What do CTE teachers need to do with these “new” PA Core Standards?

•Most of the ELA standards, especially the reading and vocabulary, have already been integrated as part of the literacy strategies teachers are already using.

•Writing needs better implementation and additional strategies.

•PA Core Standards of Math Practice need to be included in the existing math instruction.

How MCTI Implements PA Core Standards Data analysis of NOCTI testing results at the class and student level.

Professional Development that includes teachers working with coaches in small groups and one-to-one.

Adapting research based and best practices to work with CTE content and instruction.

Individual and Small Group PD• Half day Individual Meeting to assist

teachers in learning, practicing, and documenting PA Core Standards of Math Practice and ELA strategies into their instruction.

• Small Group Meetings to discuss instructional practices that exemplify how teachers are incorporating the PA Core Standards of Mathematical Practice and ELA into their teaching practice.

• One to One Meetings to assist teachers with lesson planning and implementation.

Professional Development Topics over the Last Three Years

• Reading, Chunking Text, Main Ideas• Content Retention Strategies• Vocabulary Strategies• Collins Writing• Instructional Strategies that use Technology• PA Core Standards for Mathematics and ELA• PA Core Standards of Mathematical Practice• Essential Math Questions Activities with links to

NOCTI and PA Core Standards of Math Practice• NOCTI Data – Task Link Data Analysis, Integrated

Academic Report

A Computerized Machine Technology student uses an app on his cell phone while working on a project.

PA Core Standards for ELAWhat do we do to implement these?What do they look like in the CTE theory room?What strategies do we already have?What do we need to improve?

ELA

▫Reading for ComprehensionHigh Interest Articles related to trade area

▫Chunking Information“Foldables” Note-making

▫Vocabulary ▫Collins Writing▫Main Ideas and Summaries

Health Occupations students make notes using Dinah Zike’s Foldables. These are Layered Books and Tabbed Books.

http://www.dinah.com/

Vocabulary Strategies•Flash Cards•Word Walls – provided teachers with

paper and markers▫www.monroecti.org → Resources Tab → Literacy

Resources→ Word Walls•Quizlet - anytime online flashcard

resource ▫http://quizlet.com/

Criminal Justice students create a word wall of terminology. The shape of the construction paper cut-out is the same as their badge!

Graphic Communications students practice terminology with a flash card circle.

Collins Writing

•Instructors were given professional development on Collins Type 1 and Type 2 early in the school year.

•Introduced to Type 3 and the 10% Summary

www.collinsed.com http://

www.collinsed.com/PDFs/10_summary_focus_sheet_START.pdf

Building Trades Maintenance students completing a Collins Type 1 Writing assignment.

PA Core Standards for Mathematical PracticeNOT Math Content

Excerpts from PA Core Standards for Mathematical Practice

•NOT content standards

•Describe ways students should engage mathematics

•Connect the content to practical situations and technology

• Balanced combination of procedure and practice

• Encourage multiple representations…

• Require students to explain and justify solutions, procedures, and mathematical thinking

PA Core Standards of Math Practice or “Mathematical Thinking” Adapted for CTE

1. Spend time and energy on problems that are important to your trade. Practice frequently and over time …

2. Connect the math in the program to academic math…3. Develop speed and accuracy with simple calculations

that are part of your trade area…4. Memorize math facts, equivalents, or formulas as

needed to do the job.5. Fully understand and be able to work easily with a

problem or concept before moving on …6. Use the appropriate math concepts as part of the job …7. Know what math is needed for this job or task, why it is

needed, and be able to use it.

Examples of What it Looks Like in the Classroom

• Students talk about each other’s answers, thinking, and work.

• Students show their work and can justify their solution process and answers. Students can revise their work and justifications.

• Students persevere to make sense of the problems at points of difficulty, challenge or error.▫“Grit” - http://

www.ted.com/talks/angela_lee_duckworth_the_key_to_success_grit

Examples of some Questions to Increase Mathematical Thinking:

•What happens if this value/measurement/parameter changes?

•Are the units appropriate?•Do the results make sense?•What was your estimate? •What errors are possible? How do you

prevent them or recognize it if you make a mistake?

Additional Resources

•Previous slides were excerpts from a teacher handout

•Full Document is at…

www.monroecti.org under Resources → Numeracy Resources → Integrating Mathematics Resources → Core Standards of Math Practice for CTE Teachers

How do I use these ideas and questions to add rigor and PA Core Standards of Math Practice in my planning and teaching?

• Choose questions that fit with your content, style of teaching, what practice you are focusing on, etc.

• Incorporate these questions as a warm-up, review, formative assessments, Collins Writing, etc.

• Use the “Math Problem of the Day” to bring more math into your theory lessons

• Develop “Essential Math Problems” for the important math concepts in your trade.

Math Problem of the Day Examples

A math focus topic for every month and a problem for every day.

• December Eddie is helping his father panel the family room. As they are working with the trim, Eddie’s father notes that the final piece of trim is 6 ½’ long. The last section of wall they need to trim is 4 ¾’. There are also a few other smaller sections where they could use any trim that is left over. How much trim will they have left after completing the last section of wall? Explain how to check your solution for accuracy.

• March The range of a set of data is the difference between the greatest and least numbers in the set. The highest point on Earth is Mt. Everest at 29,028’. The lowest point is the Marianas Trench at 38,635’ below sea level. Find the range of the highest and lowest points on Earth. Explain how range is used in your program or another example.

• www.monroecti.org Resources > Numeracy Resources

HVAC students collaborate on solving the Math Problem of the Day.

Essential Math Problems are…•Problems that exemplify the mathematics that

the students must know how to do to be successful on the NOCTI, Certification Tests, or on the job.

▫Specific for each program area▫5 to 10 problems or divided up by levels ▫They should be word/situational problems▫This is NOT content, such as “FRACTIONS”▫They can be from any source such as: textbook

examples, NOCTI practice problems, Certification Test examples, teacher made problems, etc.

Essential Math Problem Example• Basic:

▫An operation sold 175 chicken salad sandwiches from a total of 700 food items. What is the menu mix percentage for chicken salad sandwiches?

• Increased Rigor: ▫The hospital cafeteria has a variety of food items.

There are hot and cold entrees, sandwiches, salads, desserts, and beverages. The management is trying to maximize profits. Last week they sold 175 chicken salad sandwiches from a total of 700 food items. What is the menu mix percentage for chicken salad sandwiches? Why do you think your answer makes sense?

•Consistent Practice▫Direct Instruction▫Cooperative Learning

•Timely Feedback

•Building Numeracy▫Number Sense▫Resiliency and Perseverance▫Scaffold or Challenge▫Problem Solving Strategies

Using the Essential Math Problems in my teaching practice…

What does the data say?What about the future?NOCTI results Perkins Indicators2014-15

MCTI’s NOCTI Post-Test score statistics for the last 7 years

•2008 - 67.9%•2009 - 73.0%•2010 - 83.0%•2011 - 83.3%

•2012 - 90.1% •2013 - 94.9%•2014 - 93.5%

Advanced & Proficient Percentage

NOCTI Pre and Post Test

•Analyze the class and individual student:▫Task Link Report▫Integrated Academic Reports

•Instructors plan for NOCTI Improvement using the information from their data analysis

According to Perkins Performance Indicators for 2012-13

•MCTI is above the state expectation in 6 of the 8 categories and beats statewide performance scores in 7 of 8.

The Future

•Professional Development and Coaching to improve: ▫Technology based resources and strategies▫ELA

10% Summary Collins Writing Type 3 and beyond

▫Mathematics Essential Math Problems for each program

area

Contact information

•Dr. Carolyn Shegelski – Assistant Director▫cshegelski@monroecti.org

•Michelle Bonser - Mathematics Coach▫mbonser@monroecti.org

Teachers• James Granahan

jgranahan@monroecti.org•Patrick McHale pmchale@monroecti.org•Frank Zaso fzaso@monroecti.org