Texas Instruments TI15TK Teacher Guide - Page 28

Related Procedures (Continued) Collecting and Organizing Data As students use › and œ, have them record their results in the appropriate tables on the Student Activity page. For example, if a student is exploring the relationship between x 2 and ÷ 2, the tables might look something like this: Table for › Input 1 2 3 Procedure x2 x2 x2 Output 2 4 6 Table for œ Input 2 4 6 Procedure P2 P2 P2 Output 1 2 3 Analyzing Data and Drawing Conclusions Ask students: • What patterns do you see in your data? • Are the procedures inverses of each other? How do you know? If the output number for › is used as the input number for œ and gives an output number equal to the original input number for ›, then the procedures may be inverses of each other, as in x 2 and ÷ 2. • Does the pattern work with special numbers like 1 and 0? With fractions and decimals? With positive and negative integers? • What happens if you use œ first, and then ›? ³ To recognize the equivalent procedures, students may need to use the Ÿ key to change outputs from decimal to fraction form or vice versa. © 2000 TEXAS INSTRUMENTS INCORPORATED TI-15: A Guide for Teachers 21