1. Grade Scale Test 1 Results: Average class score after partial credit: XX.X% Commonly missed questions: # _________________ All of this material will be tested again on the final exam, so please make sure you go over the problems you missed with a teacher or TA. GradeAA-B+BB-C+C C- F Points ≥ 925≥ 900≥ 875≥ 825≥ 800≥ 775≥ 725 ≥ 700 < 700 % Score≥ 92.5≥ 90≥ 87.5≥ 82.5≥ 80≥ 77.5≥ 72.5 ≥70 < 70

2. The Home Stretch: Final topic: 5 sections from Chapter 5 on exponents and polynomials Next quiz: Quiz 3 on sections 5.1-5.4 and 5.6 Last two classes: Two in-class review sessions for the final, with two 25-point review homework assignments. Final Exam: Comprehensive, 200 points, during evaluation week. Check your syllabus to find the date and time of the final exam for this section. If you haven’t passed the Gateway yet, make sure you take it this week.

3. Wednesdays – 10:10 am – 11:15 am Thursdays – 10:10 am – 11:15 pm Gateway Quiz Retake Times (One new attempt allowed per week, beginning November 2) SIGN UP IN THE MATH TLC OPEN LAB! If NONE of the above times work for you… email Krystle Mayer, Math TLC Coordinator (JHSW 201), to set up a date and time. Mondays – 1:25 pm – 2:30 pm Tuesdays – 1:25 pm – 3:35 pm

4. Please CLOSE YOUR LAPTOPS, and turn off and put away your cell phones, and get out your note- taking materials.

5. Section 5.1: Working with Exponents Exponents that are natural numbers are shorthand notation for repeating factors. 3 4 = 3 3 3 3 3 is the base 4 is the exponent (also called power) Note, by the order of operations, exponents are calculated before all other operations, except parentheses.

6. Evaluate each of the following expressions. Example 3434 = 3 3 3 3= 81 (-5) 2 = (-5)(-5)= 25 -6 2 = -(6)(6)= -36 (2 4) 3 = (2 4)(2 4)(2 4)= 8 8 8= 512 3 4 2 = 3 4 4= 48

7. Example from today’s homework:

9. Evaluate the following expressions. Find 3x 2 when x = 5. Example Find -2x 2 when x = -1. 3x 2 = 3(5) 2 = 3(5 5)= 3 25 -2x 2 = -2(-1) 2 = -2(-1 -1)= -2(1) = 75 = -2

10. Example from today’s homework:

11. Product Rule (applies to common bases only) a m a n = a m+n Simplify each of the following expressions. Example 3 2 3 4 = 3 6 = 3 3 3 3 3 3= 729 x 4 x 5 = x 4+5 z 3 z 2 z 5 = z 3+2+5 (3y 2 )(-4y 4 )= 3 y 2 -4 y 4 = (3 -4)(y 2 y 4 )= -12y 6 = 3 2+4 = x 9 = z 10

12. Example from today’s homework:

13. Power Rule (a m ) n = a mn Example Simplify each of the following expressions. (2 3 ) 3 = 2 9 = 512 (x4)2(x4)2 = x 8 = 2 33 = x 42

14. Example from today’s homework:

15. Power of a Product Rule (ab) n = a n b n Simplify (5x 2 y) 3 Example = 5 3 (x 2 ) 3 y 3 = 125x 6 y 3

16. Example from today’s homework:

17. Power of a Quotient Rule Example Simplify the following expression. (Power of product rule in this step) (Power rule in this step)

18. Example from today’s homework:

19. Quotient Rule (applies to common bases only) Example Simplify the following expression. Group common bases together

20. Example from today’s homework:

21. Zero exponent a 0 = 1, a  0 Note: 0 0 is undefined. Simplify each of the following expressions. 5050 Example = 1 (xyz 3 ) 0 = x 0 y 0 (z 3 ) 0 = 1 1 1 = 1 -x0-x0 = -(x 0 ) = -1

22. Example from today’s homework:

23. Answer = 1

24. Wednesdays –10:10 am –11:15 am Thursdays –10:10 am –11:15 pm Gateway Quiz Retake Times (One new attempt allowed per week, beginning November 2) SIGN UP IN THE MATH TLC OPEN LAB! If NONE of the above times work for you… email Krystle Mayer, Math TLC Coordinator (JHSW 201), to set up a date and time. Mondays –1:25 pm –2:30 pm Tuesdays –1:25 pm –3:35 pm

25. You may now OPEN your LAPTOPS and begin working on the homework assignment.