Using a diagram like that shown below there are various ways to teach the real number system.

Having Students Create Their Own Diagram

Have students take the concept show in the diagram above and create their own diagram for the real number system. For example, here are some examples of what students have produced for me.

Having Students Create Their Own Diagram

Have students take the concept show in the diagram above and create their own diagram for the real number system. For example, here are some examples of what students have produced for me.

Beware, students have a habit of drawing a shape and randomly labeling parts. Therefore, you must make them aware that their diagram must be mathematically consistent. For example, if they use a face for their diagram, they may label the eyes rational and ears counting, etc. This would be incorrect since counting numbers are within rational numbers.

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