Have them share their examples with a partner. Discuss as a class. Ask students to consider the concept in an historical context, noting the difficulty that having two answers posed for mathematics. Encourage students to use the Internet to find problems and solutions and to research the history of the number system. By demonstrating an understanding of the real number system, students show they possess the basic knowledge needed to use mathematics for solving problems they encounter.
Assessment focusses on the understanding of meaning and procedures.
Have students write the number 5 using different representations, such as and , to show that they understand that the classification of a number does not change even though the representation does. Students should recognize that both -5 and 5, when squared, equal 25. Students should recognize that equals only positive 3. Collect Have students develop posters on which they describe the similarities and differences between natural, whole, integral, rational, and irrational numbers, giving four or five examples of each. Check students' work for accuracy, clarity, and depth of understanding demonstrated.