1. CHALLENGE!  Can we use the distributive property to solve the following three problems? 1.Solve for x: xw+ zx =y 1.Solve for 3: 3u + 3v = t 1.Solve for p: p/m + p/n = q

2. Warm Up  Grab a handout from the “AFM Handouts” basket and sit in the same seat you did yesterday. Put your homework on the corner of your desk.  Answer the question under “warm up,” as well as the following questions at the top of your guided notes: 1.Solve for c: e = cd 2.Solve for x: w(xy) + z = a 3.Solve for m:

3. Homework  Any questions from the homework last night?  3 rd period: The last 5 groups will present their problem to the class.

4. Today’s Objectives  Students will understand how bathroom passes work.  Students will be able to solve literal equations using their knowledge of:  Additive Inverses  Multiplicative Inverses  Distributive Property  AND Exponential Inverses  AND Common Denominators

5. Bathroom Passes  You are getting two bathroom passes for this semester.  These are for emergencies only. You will not receive any more, so I recommend that you save them.  If you need to use one, silently hold it up in the air and I will collect it, giving you permission to go.  Any unused bathroom passes that you turn in at the end of the semester will earn you extra credit.  You should plan ahead so that you do not have to go to the bathroom during class.

6. Exponential Inverse  An exponential inverse for a number x raised to the power n, denoted by x n, is the number which when x n is raised by it equals x.  What are some different ways this could look?  Example: What is the exponential inverse of x 4 ?

7. Special Case:  Any time you take the inverse of an EVEN exponent, you need to put a plus or minus sign in front of your answer.  Why?? (hint: Think about negative rules)

8. Quick! Try these: What is the exponential inverse of: 1.2 2 2.x 3 3.y 1/2

9. Use the concept of exponential inverse to solve the following normal equations: 1.x 2 = 4 2.y 3 = 27 3.x 1/2 = 5

10. How about these literal equations?  Solve for x.  Solve for b.

11. Common Denominator  When do we use it?  How do we find it?

12. Common Denominator with Numbers

13. Common Denominator with Variables

14. Let’s look at 1 example together.  Solve for x. (1/x) + (1/y) = z  **Only use common denominator when you’re solving for something IN THE DENOMINATOR!

16. Try the last 5 problems on your own, but you may ask your neighbor if you get stuck.  I will pick 4 people to put their work and answers on the back board so you can compare yours to theirs.

17. Homework  Complete the problems on the back of your guided notes sheet.  Get your syllabus signed by your parent and have them email me!  Quiz is Friday! I will have tutoring after school TOMORROW if you would like to come.

18. Cool Down  While you are SILENTLY and INDEPENDENTLY completing this cool down, I will be walking around giving you your class work and participation stamps if you earned them.

19. Leaving class  Straighten your desk before you leave the classroom, and take everything with you—don’t forget your homework!  Remember, return to the same desk tomorrow that you sat in today.

20. Create your own Study Guide  Our first quiz is Friday.  In order to do well, it helps to study.  With the people around you, create a study guide.  I will take the best study guide and photocopy it for everyone in the class to take home tomorrow to study for their quiz Friday.  What does a good study guide contain?  Example problems  Important vocabulary and what it means/how it is used  Common mistakes to avoid.  The WHY behind how you solve or simplify a problem.