# 1.2 Using a Flow Chart to Classify Real Numbers

## 1.2 Using a Flow Chart to Classify Real Numbers

A flow chart is a pictorial representation showing all the steps of a process. Show the students a transparency of the Flow Chart BLM. Have them list some of the characteristics that they notice about the flow chart or anything that they may already know about flow charts. Record students’ ideas on the board or chart paper.Read the article

*What is a flowchart?*to read and learn about flow charts.

This article and discussion is an instructional approach that invites students to make predictions and then check their predictions during and after the reading.

Using the

*What is a Flowchart?*worksheet, start by filling in the title of the article. Ask questions that invite students’ predictions. For example a teacher may ask, ―What do you expect to learn after reading this article?‖ or ―How do you think flow charts might be used in algebra class?‖ Have students record the prediction questions on the DR-TA BLM and then answer the questions in the Before Reading box on the BLM. Have students read the first and second paragraphs of the article, stopping to check and revise their predictions on the BLM. Discuss with students whether or not their predictions have changed and why. Continue with this process stopping two more times during the reading of the article. Once the reading is completed, use student predictions as a discussion tool to promote further student understanding of flow charts. Emphasize that in most flow charts, questions go in diamonds, processes go in rectangles, and yes or no answers go on the connectors. Guide students to create a flow chart to classify real numbers as rational, irrational, integer, whole and/or natural. Have students come up with the questions that they must ask themselves when they are classifying a real number and what the answers to those questions tell them about the number. A Sample Flow Chart BLM is included for student or teacher use. Many word processing programs have the capability to construct a flow chart. If technology is available, allow students to construct the flow chart using the computer. After the class has constructed the flow chart, give students different real numbers and have the students use the flow chart to classify the numbers.

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