March 23, 2010
The MATRIX Re-adjacent presented by Dr. Phil Grizzard
Phil Grizzard began his session with a "grouper" activity. Each participant was given a math problem to solve. They then needed to find other participants whose problems yielded the same solution. It turned out that all problems had the same solution.
Phil introduced the concept of a vertex-edge graph to illustrate flights to and from various cities. Participants were assigned to create a visual representation of the flights between the cities. They then created an adjacency matrix to represent the data.
Graphing calculators were used to enter matrices and multiply them.
Click here for a copy of Phil Grizzard's PowerPoint.
Some of the AIMS Standards addressed include:
HSMS2C1-01 Draw inferences about data sets from lists, tables, matrices, and plots.
HSMS2C1-02 Organize collected data into an appropriate graphical representation with or without technology.
HSMS2C1-03 Display data as matrices and plots with or without technology; make predictions and observations about patterns or departures from patterns.
HSMS2C1-06 Evaluate the reasonableness of conclusions drawn from data analysis.
CWRMS2C4-01 Study vertex-edge graphs and adjacency matrices.
HSMS2C4-01 Solve network problems using graphs and matrices.
CWRMS2C4-02 Understand, analyze, and apply vertex-edge graphs to model and solve problems related to paths in real world settings.
MS5C2-03 Analyze and compare mathematical strategies for efficient problem solving.
MS5C2-04 Apply a previously used problem-solving strategy in a new context.
MS5C2-05 Represent a problem situation using multiple representations, describe the process used to solve the problem, and verify the reasonableness of the solution.
MS5C2-08 Make and test conjectures based on information collected from explorations and experiments.
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| Colleagues share problem solutions to determine their group assignments. | Phil Grizzard introduced the flight information. | A graphical representation of the flight data. |
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| An alternative graphical representation of the flight data. | The dinner break is an opportunity to chat with others. | Isabel Kishi multiplies matrices. |
