`Real Numbers in the Real WorldUlysses Harrison               Dunbar Vocational High School                               3100 South King Drive                               Chicago IL 60616                               312-534-9000Objectives:Students will be able to group the set, R, of real numbers into two different sets:  R > 0, R < 0. Students will be able to use parentheses to change the order in which exponentiation, multiplication, division, addition and subtraction are performed by using the TI-34 calculator. Students will be able to work problems throughout the set of real numbers using the TI-34 calculator without preference for positive numbers. Materials Needed:Set of TI-34 Calculators--one for each student.Strategy:Inform the students that the real number system consists of natural numbers, whole numbers, integers, rational numbers, and irrational numbers.  Students must be able to comfortably use the whole set of real numbers to perform the mathematics operations in order to be successful at working problems in the real world.  Give example problems that include numbers in the subsets of the real number system initially.  Have students work these problems on the calculator.   Finally, include problems that involve all the real numbers and all the operations.  Have students work these problems on the calculator.  Emphasize to students that the calculator is only a tool for them to use.  The students must know the operations of mathematics for the calculator to correctly perform the arithmetic.  This allows the students more time to learn and become comfortable in applying principles of mathematics to problems and opportunities they encounter in the real world. Performance Assessment:     a.  Give students a set of 20 problems that include parentheses,           exponents, multiplication, division, addition and subtraction.     b.  Have students work the set of problems without the use of calculators.     c.  Have students use the calculator to work the same set of problems.     d.  Compare the scores on the two sets of problems.     e.  Have students discuss advantages and disadvantages of using calculators          in class.Multicultural Application:Calculators and real numbers can be used efficiently by all cultures.  Wise use of the calculator as a tool can expedite mastery of new subjects and material in mathematics. `