Reflections/concerns yesterday: Bushra is looking forward to working with the group. Bryna is glad the wicki is up and running. All are excited and ready to work with the group, and looking forward to working with the lesson. In spite of the time, Bill is ready to delve into the hard work of teaching.

Mary created today's agenda. Thanks!


How do we plan units of instruction? What is a unit?
Karen uses backward design in planning her unit, beginning with the test. Dave and Pedro and most of the group concurred and added that the test usually comes from the standards. On the other hand, Betul plans using forward thinking, with a team of teachers, with the end result in mind. Bushra uses the Understanding by Design (UBD) methodology to plan units. Bill explained the UBC concept. A discussion of testing versus other ways of assessment ensued.

Cangelosi's Learning Level Scheme
Cognitive Scheme by Jim Cangelosi framework was passed out and discussed. The framework is similar to Bloom's Taxonomy but applicable to math in how to construct a unit of work. Bryna passed out a lesson plan she created based on the cognitive framework that also incorporated the new Common Core State Standards.
Bryna showed the group the book Teaching Mathematics in Secondary and Middle School: an Interactive Approach, 3rd Edition, Cangelosi, James S., Merrill Prentice Hall, 2003 as a reference for designing units.

The group will be designing a complete unit, but delivering only one lesson. We then broke into 3 groups to practice sketching a unit, including Goals and Objectives.

Tom returned and reported on his meeting at the local High School. We will have access to an Algebra 2 class of six students. We will be working on a lesson on systems of equations. The teacher is using the McDougall Littell Algebra 2 book. We then talked and decided that we needed to review materials to determine the scope and objectives for the unit as a whole. Suggested materials include
Common Core State Standards
Science for All Americans
Math in Context (?)
Other various Algebra 2 books

Notes on Systems of Equations

  • solutions are the same no matter what representation /method used
  • solutions to a system of equations are values that make all/both equations true (concept to construct)
  • can use many different manipulatives to solve a system of equations (reasoning/application)

  • apply algorithms to solve systems of equations by elimination and substitution
  • students will translate situations into systems of equations and determine when such a system exists
  • students will reason with situations that involve two variables
  • special case situations (parallel lines, overlapping lines)