Panhandle Area Educational Consortium


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Linear Equations: A Hands-on Method for Teaching the Connections Among Equations, Tables, & Graphs
Elizabeth S. Hoff & Greg Murphy

Subject Area: Science and Math, Middle

Course Title: Linear Equations: A Hands-on Method for Teaching the Connections Among Equations, Tables, & Graphs

Course Requirements: Video Program and Assessment

Course Description: Linear equations lay the foundation for all studies of math, beginning with algebra. One of the first essential concepts a student must comprehend is the relationships among a table, equations and a graph as they pertain to collected data. Laying the foundation for this understanding through activities gives students the ability to become involved in their learning and understanding. Participants in this workshop will work through a "flight simulation" and make "jumping frogs" that will lead from the study of linear equations to the eventual understanding of slope. Hoff and Murphy will guide teachers to closely analyze the relationships among tables and equations, equations and graphs and graphs and tables as they relate to linear equations and the understanding of slope. Participants will leave this workshop with two activities that bring linear equations from the realm of the abstract to the concrete level of middle school students.

Course Objectives:
Participants will be able to:
1.      Explain what the Keys to Effective Teaching are and describe
         examples which use the strategies to improve teaching.
2.      Explain the process models demonstrated to teach the
         concepts of linear equations.
3.      Describe their experience in using web-based simulations
         during the modeled activities.

Course Assessment:
A certificate of completion will be awarded to participants who successfully complete the online assessment after viewing the video program.

Alignment with Standards:
TIMSS and PIRLS International Study Center

The Nation's Report Card

Mid-continent Regional Educational Laboratory Standards
This link takes you to the standards and benchmark search screens so that you can look for mathematics and science benchmarks.

Mid-Continent Regional Educational Laboratory Standards - Linear Equations
This link takes you to the benchmark for linear equations.

Mid-Continent Regional Educational Laboratory Standards - Tables and Graphs
This link takes you to the benchmarks for displaying information in graphs and tables.

WestEd: Assessment, Standards, and Accountability

National Educational Technology Standards

Professional Development Points:   2
Additional points may be earned through completion of follow-up activities.

Additional Helps: Follow-up activities and resources
It is recommended that participants in the video course complete follow-up activities to deepen their knowledge and skills. When these activities are completed in accordance with local staff development guidelines, participants may be able to earn additional professional development credit. Contact your local staff development office for determining how you might receive credit for completing the video program and additional credit for completing follow-up activities.
      Follow-up Activity 1: Share Presentation with Peers
      Follow-up Activity 2: Web Exploration

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