Representing Data

Students represent information in a variety of meaningful ways with appropriate justification. They compare and contrast different methods of representing data. Lesson 1 Fishbone Diagrams Fishbone diagrams are used as a brainstorming technique to aid in illustrating cause-effect relationships. Students create fishbone diagrams for goals such as: earning a college degree or starting a business. Lesson 2 Charts Given one chart of starting level salaries for careers in different fields and at different degree levels, students explore the ways to reorganize the data into new charts, each with its own scheme or emphasis. Lesson 3 Graphical Representations A detailed wage chart of salaries is presented in the form of a matrix. Students use matrix notation to describe information in the wage chart. Students create a graphical representation of the matrix data. Students also solve problems about arithmetic and geometric sequences based on the numerical data in the wage charts. Lesson 4 Bar Charts, Line Graphs, and Matrices The Soft Drink Company uses bar charts and line graphs to measure the company's progress in three areas of production. The students analyze the pros and cons of the company's data presentation, and develop alternate representations of the data with an accompanying rationale for their choices. Lesson 5 Coded Maps Coded maps include elevation maps, rainfall maps, city recreation maps, etc. In this lesson, students interpret data from a coded map of computer parts and suppliers. Students create their own coded maps. Lesson 6 Decision Tree Decision trees are used as a means of problem solving when three or more factors affect the decision. In this lesson, students create decision trees for many topics. Students create a decision tree based on their coded maps from Lesson 5. A comparison between decision trees and flowcharts is made. Lesson 7 Process Control Charts Students simulate computer chip manufacturing by doing an experiment with potato chips. Students collect data on potato chip "totality", represent the data on a process control chart, and analyze the data based on the concepts of mean and standard deviation. Lesson 8 Representations as Aids in Reporting Five measures of assembly line efficiency for a manufacturer of computer systems are presented. Students construct a variety of graphical representations for this complex data. Lesson 9 Using Graphical Representations for Data Comparison Students extract data from a graph, combine information from two matrices, look for a correlation in the combined data, and create a new graph to show the relationship between the combined data. Compare this module to traditional course topics in the Matrix of Course Competencies. If one of the lessons has a link, you can preview that lesson. Other modules: Beat Ratios Functions Exp. Growth Data & Graphs Representing Data Finance Geometry Sampling Non-linear Behavior Linear Behavior Sets and Logic Patterns Probability Systems Right Tri. Trig.