1. G EOMETRIC S ERIES AND M EDICINE D OSES Keri Salvador (NJIT, C2PRISM) Teacher Professional Development Day March 17 th, 2010 TI-nspire Calculator Demonstration

2. I NTRODUCTION TO TI- NSPIRE TI-nspire advantages over TI-83 Plus Creates notes, question & answer pages Symbolic Calculations Memory TI-nspire disadvantages over TI-83 Plus May take time to adapt to larger keypad Software is licensed and.tns files cannot convert to other formats Battery Life

3. P RESENTATION O UTLINE Introduction to TI-nspire About TI-nspire Application of TI-nspire Conclusion

4. I NTRODUCTION TO TI- NSPIRE

5. A BOUT TI- NSPIRE : H OME Home Feature House logo = applications menu From applications menu, select desired application

6. A BOUT T I - NSPIRE : M ENU Document Menu Feature Each feature, such as calculator, notes, etc. has its own menu (press [menu]) The Q&A template is [1] under this notes menu Use green and grey keyboard buttons

7. A BOUT TI- NSPIRE : T OOLS AND F ILES Tools Feature Press [ctrl], [house logo] to see document tools Unless you open a previously saved document, you will open a new document every time you start working on the TI-nspire. To access files, press [1]

8. A PPLICATION OF TI- NSPIRE

9. S UM OF G EOMETRIC S ERIES How do we get the sum of a geometric series? Definition of geometric series: Let Sn = a + ar + ar 2 + ar 3 + … + ar n Multiply r to both sides of equation. Sn= rSn = Sn(1-r) = ar + ar 2 + ar 3 + ar 4 + … + ar n+1 Sn (1-r) = a - ar n+1 Sn = a(1 - r n+1 ) / (1-r)

10. A PPLICATION OF TI- NSPIRE

13. Accessing Answers using Menu

14. C ONCLUSION The handout activity about geometric series used to estimate medicine levels in the human body uses multiple functions of TI-nspire calculator. The TI-nspire.tns file has a Q&A application throughout the lesson. The presenter will use the Question-Answer feature of the TI-nspire to confirm a student answer. Whole group instruction using the TI-nspire notebook Q&A application Independent work through answering the questions and creating data graphs on TI calculators Answers are provided in the.tns file, but hidden from the students until the instructor chooses to reveal them to the class.