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Mathematics Resources
Integrating math into career and technical education (CTE) programs enhances the mathematical concepts that are embedded in career and technical education content. It is a process that provides the opportunity for math and CTE teachers to work together to identify where math intersects with CTE concepts and applications. Students benefit from this team process by having math concepts taught in the same context in the math classroom and also the CTE program. Research shows that this model has been shown to have a significant positive impact on student learning in mathematics with no loss to career and technical area content.
Carpentry was chosen as the first program area to develop and more will soon be available. These resources will align with the Pennsylvania Programs of Study which are also currently being developed.
Math Council Members (PDF)
Non-Discrimination Page (PDF)
Mini-Lessons (PDF 3.64MB): These “mini-lessons” have been designed to teach each of the 57 eligible content items related to the 11th grade PSSA. The mini-lessons demonstrate what the eligible content means and how a math teacher would explain the concept to students. These mini-lessons are generic across any career and technical program. Our thanks to Berks County Career and Technology Center for sharing these mini-lessons.
Word Problems (PDF 748KB): Worksheets have been developed which are aligned to the eligible content items and consist of 10 multiple choice questions with one open-ended math prompt. The model would give students the opportunity to practice the math skill in the PSSA format.
T-Charts: T-charts are being developed to “bridge the gap” between CTE and math and can be used by both math and CTE teachers. This resource will consist of three components: a T-chart, a script, and practice problems. Each T-chart will demonstrate how a CTE teacher teaches the concept covered by the eligible content and how a math teacher teaches the same concept. For instance, a carpentry instructor teaches how to determine the pitch of a roof. A math teacher teaches how to calculate slope. The T-chart will compare the two and identify the vocabulary associated with the concept. The script that accompanies the T-chart will assist the teacher in bridging the gap between the two by comparing similarities and differences between the two approaches and identifying common mistakes made by students. The practice problems will be set up so that three problems are in context, three are generic applications, and three are in plain math language. Additional program areas are being developed.
Tips and Tools for Writing T-Charts (PDF)
Carpentry (PDF 836KB)
Vocabulary Lists: Since we know that pitch (in a math class) means slope and slope (in a CTE class) means pitch, vocabulary lists are being developed for career and technical programs that show the connection between the math language and the CTE language. Additional program lists are being developed
Carpentry Glossary (PDF)
HVAC T-Chart (PDF 1.34MB)
Instructions for the HVAC T-Chart: To get a feel for how the chart fits it, we have added the work to page 2 of the HVAC T-Chart. The red font link in the upper right corner of the menu will also take you there. As always, the HOME key will take you back to the menu.
- Dental Assisting/Assistant 51.0601
- Automobile/Automotive Mechanics Technology/Technician 47.0604
- Electrical & Power Transmission Installers, Other 46.0399
- Drafting & Design Technology/Technician, General 15.1301
- Graphic Communications, Other 10.0399
- Child Care & Support Services Management 19.0708
- Heating, Air Conditioning, Ventilation & Refrigeration Maintenance Technology/Technician 47.0201
- Carpentry/Carpenter 46.0201
- Machine Tool Technology/Machinist 48.0501
- Sales, Distribution & Marketing Operations, General 52.1801
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