Published on November 19, 2007
Slide1: Draw a Diagram Problem Solving Strategy Draw a Diagram…: Draw a Diagram… Any idea that can be represented with a picture can be communicated more effectively with a picture when you solve a problem. By making visual what you’re thinking, a diagram becomes a problem solving strategy. A diagram clarifies ideas and communicates those ideas to anyone who looks at it. When you draw a diagram, you organize information spatially, which then allows the visual part of your brain to become more involved in the problem solving process. Draw a Diagram…: Draw a Diagram… Diagrams are used in many jobs, especially those that require a planning stage. Electrical engineers draw diagrams of circuit boards to help them visualize the relationships among a computer’s electrical components. An architect’s blueprints expresses ideas concisely in a visual form that leaves little to interpretation. Other diagrams include set designs, marching band formation diagrams, project flow charts, maps, yearbook and newspaper layouts, and concept maps, just to name a few. Slide4: Roger used a shovel to dig his own swimming pool. He figured he needed a pool because digging it was hard work and he could use it to cool off after working on it all day. He also planned to build a rectangular brick deck around the pool that would be 6 feet wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the area of the deck? Sample Problem: Try ideas.: Try ideas. 52 feet + 26 feet + 52 feet + 26 feet = 156 feet 156 feet x 6 feet = 936 square feet Counts each corner twice! Keep drawing diagrams.: Two lengths: 40 ft x 6 ft x 2 = 480 sq ft Two widths: 14 ft x 6 ft x 2 = 168 sq ft Four corners: 6 ft x 6 ft x 4 = 144 sq ft Total 792 sq ft Keep drawing diagrams. And another . . .: And another . . . 52 ft x 6 ft = 312 sq ft 312 sq ft x 2 = 624 sq ft for extended lengths 14 ft x 6 ft = 84 sq ft 84 sq ft x 2 = 168 sq ft for widths Total = 624 sq ft + 168 sq ft = 792 sq ft And another . . . : And another . . . Area of entire figure = 52 ft x 26 ft = 1352 sq ft Area of pool alone = 40 ft x 14 ft = 560 sq ft Area of deck = 1352 – 560 = 792 sq ft Strategy: Draw a diagram: Strategy: Draw a diagram Do not hesitate to draw pictures or diagrams. You don’t have to be an artist to draw a useful diagram. If you can visualize it, draw a diagram! Now it’s YOUR turn…: Now it’s YOUR turn… Open your problem solving book and go to the section on Draw a Picture (pages 7-8). Print off a problem solving sheet and do a complete solution to a problem from this section…do one and submit it or do more for “extra fun”. (Rock Climbing, Dangerous Maneuvers and/or Circular Table) Email your complete solution, with your steps clearly shown to [email protected] or put them in Nancy Powell’s mail box! Have fun and Problem solve!