Problem Solving Unit 1 Lesson 1 Objective: 1.01a Select or create a graphical display for a given set of data. TLW: Use a matrix diagram to solve problems Essential ?: How do I set up the matrix diagram and how do I know where to start?

When are matrix diagrams used? A typical use of the Matrix Diagram to compare two lists is where the list on the left represents a problem (the 'what') and the list above represents a solution to that problem (the 'how'). For example, the first list details customer requirements for a product, whilst the second list shows how this is translated into design specifications. The relationship values now can be used to identify specific problems and other points of interest. syque.com/quality_tools/toolbook/Matrix/how.htm

What is a matrix diagram?

Problem Solving Strategies Used Process of elimination Matrix logic Guess and Check Diagrams

The Problem: Fred, Kent, Allie, and Jane (two sets of siblings) each have a favorite sport: running, biking, swimming and golf. Given the following clues, construct a matrix to help determine who likes which sport. Fred hates golf. He agrees with Mark Twain that golf is nothing but a good walk spoiled. Kent wouldn’t run around the block if he didn’t have to, and neither would his sister. Each sisters favorite sport is featured in a triathlon. Allie bought her brother a new bike for his birthday to use in his favorite sport.

Ask Yourself What events am I comparing and how many are there? Is there anything I can cross out right away? If it helps make a list of what you know and what you need to know.

Nicholas, Emma, Amber, Kyle, and Matthew have one of the following jobs: writer, programmer, chemist, teacher, and carpenter. Their salaries are $51,900, $62,300, $57,400, $67,500, and $60,900. Figure out the salary and job for each person. 1.   The chemist earns $57,400. 2.   The teacher earns $60,900. 3.   The programmer earns more than the writer. 4.   Amber is not a chemist or a writer. 5.   Kyle is not a writer or a chemist. 6.   The teacher earns more than the chemist. 7.   The writer does not earn $62,300. 8.   The chemist earns more than the writer. 9.   Nicholas is not a programmer or a carpenter. 10.   Matthew is not a writer or a programmer. 11.   The programmer earns more than the chemist. 12.   The programmer does not earn $60,900. 13.   The carpenter does not earn $60,900. 14.   Kyle is not a carpenter or a programmer. 15.   The carpenter earns more than the chemist. 16.   Emma is not a teacher or a chemist. 17.   The programmer earns more than the carpenter. 18.   Matthew is not a chemist or a teacher.

The Set Up

You Try: You have two problems you will need to solve. Each person needs their own sheet, but you may work with your partner on finding the right answer. Remember the strategies.

Closing Puzzle # 1