1. Welcome to Math III Honors!!

2. As you enter:
Find your name on the seating chart
Begin working on “Who I Am”
Where it says “Full Name” write your full name and the name you’d like to be called.

3. About Ms. Logsdon Birthplace – Downers Grove, Illinois
High School – Panther Creek High School
College – University of North Carolina at Chapel Hill
Favorite Sport Teams - Chicago Cubs and Chicago Bears
Favorite Subject – Math!! (Of course!)
Foods I Enjoy – Ice cream and tacos are two of my favorites…but not together
Pets – A super cute, white, fluffy dog named Maxwell
Activities – Crossfit, spending time with friends and family, binge watching shows on Netflix

4. REMIND
to 81010

5. Parent Letter

6. What do I need? Three ring binder Pencils Loose Leaf Paper
TI-83 Plus or TI-84 Plus Graphing Calculator

7. Grading Policies Tests 50% A 90 – 100 Quizzes 30% B 80 – 89
Homework 10% C 70 – 79
Classwork 10% D 60 – 69
F Below 60

8. Absent?
When you return, check the Absent Work Bin for any assignments you missed while you were out
Make sure to turn in anything that was due the day(s) you were absent

9. Math is NOT a Spectator Sport
Do your homework!
Participate in your groups!

10. Math Every Day!
Be prepared!

11. Respect Pay attention When I am talking/teaching phones should be away
No talking while I am talking

12. Lunch Tutorials
Wednesday A Lunch
Thursday B Lunch

13. Tardy Policy
Tardy #
Teacher Action 1
Warning 2
Warning/Call Home 3
Teacher Lunch Detention 4
Admin assigned 1/2 Day ISS 5 
Admin assigned 1 Day IS
If you come into class late, fill out the appropriate sign in/out binder at the front of the room

14. Comments on leaving class
You will not be allowed to leave class the first 10 minutes of class or the last 10 minutes
If you initiate leaving class
Wait until I am not presenting material
Ask before you leave
Fill out the appropriate sign in/out binder in the front of the room

15. Communication
Website: mslogsdonmath.weebly.com

16. Would You Rather?
A fun game of choices!!!!!!

17. Would you rather choose…...
Pepsi?
Coca-Coke?

18. Would you rather choose…...
Beach?
Mountains?

19. Would you rather choose…...
UNC?
Other...

20. Would you rather …... Lose your cell phone for a week?
Have no internet access for a week?

21. Would you rather choose…...
To win the lottery?
Live twice as long?

22. Would you rather choose…...
Hot weather?
Cold weather?

23. Would you rather choose…...
To be super tall?
To be super short?

24. Would you rather choose…...
Have a pet dog?
Have a pet cat?

25. Would you rather choose…...
Hang out with Steph Curry for a day?
Hang out with Taylor Swift for a day?

26. Buying your first car

27. Number yourselves 1 to 4…
In charge of reading the introduction to the group, and is also the only person that needs a calculator. In charge of writing the plan on a separate sheet of paper. In charge of completing the poster that will be displayed. Time keeper, only person in the group that can ask the teacher a question. **If you are in a group of 3, combine roles 1 and 4 (so you will have a Person 2, a Person 3, and a Person 1/4).

28. So about that car………

29. Let’s start with Scenario Two:
If the $17,000 car depreciates at a rate of $150 per month, find the value of the car after 2 years.
a) Create a NEXT-NOW statement that will represent the scenario
START = 17000
NEXT = NOW – 150

30. START = 17000
NEXT = NOW – 150
Use a calculator to find the value of the 24th month.
This is called an iteration
(repetition of a process)
$13,400

31. RECURSIVE FORMULA We can also represent this scenario using a
(uses the previous term to find the next term)
To set up a recursive formula, let us look at some important notation.
When referring to a specific term, like the initial term, we can represent it with an a0

32. For example, if we have the sequence 3, 7, 11, 15, …
We would say a1 = 3
And a2 = 7
What would a5 = ? 19
What’s the difference between a0 and a1?
a0 refers to an initial term, whereas a1 refers to the first term of a sequence.

33. So let’s write START = 17000 NEXT = NOW – 150 a0
The notation an refers to a general sequence.
n is considered the term number (must be a whole number)
For example, an = 9, 2, -5, -12, …
So let’s write
START = 17000
NEXT = NOW – 150
using our new notation a0 an
an-1

34. 3. Write the first 4 terms of the sequence below:
Write the following sequences using a NEXT NOW statement AND write as a recursive formula
1. an = 10, 20, 30, 40, …
a1 = 10
an = an
START = 10
NEXT = NOW + 10
2. an = 2, 4, 8, 16, …
a1 = 2
an = 2an-1
START = 2
NEXT = 2NOW
3. Write the first 4 terms of the sequence below:
a1 = 2
an = an-1 – 6
2, -4, -10, -16

35. Let’s go back to the car…Scenario One
The $17,000 car depreciates at 0.9% per month
What is challenging about this problem is we need to focus on how much the car is WORTH each month, not how much value the car lost each month.

36. Write a NEXT NOW statement and recursive formula for this scenario.
So…the car’s value is 99.1% of it’s previous amount.
We also must keep in mind the value of the car each month is dependent of the previous month.
Write a NEXT NOW statement and recursive formula for this scenario.
START = 17000
NEXT = 0.991NOW
a0 = 17000
an = 0.991an-1

37. Use your calculator to find the value of the car after 24 months.
$13,684.11

38. How do you find the amount owed on the loan?
$17,000 with an interest rate of 2% per month, but you pay $500 a month
Start = 17,000
Next = 1.02Now - 500
Amount owed on the loan:
$12,132.50
Recursive Form
a0 = 17000
an = 1.02an-1 – 500

39. Equity? (Car value – amount remaining on loan)
Scenario 1:
$1,551.61
Scenario 2:
$1,267.50

40. Practice with Recursive Formula
Do numbers 1, 2, 4, and 6

41. Homework Day 1 Homework – Introduction to Sequences Worksheet
Remember!!
Give your parent letter to your parents
Have them fill it out and return to me by Friday!!