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 youd like to be called About Ms Logsdon Birthplace ID: 753304
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Slide1
Welcome to Math III Honors!!Slide2
As you enter:
Find your name on the
seating chartBegin working on “Who I Am”Where it says “Full Name” write your full name and the name you’d like to be called.Slide3
About Ms. Logsdon
Birthplace
– Downers Grove, IllinoisHigh School – Panther Creek High SchoolCollege – 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 NetflixSlide4
REMIND
Text @3logsdon to 81010Slide5
Parent LetterSlide6
What do I need?
Three ring
binderPencilsLoose Leaf PaperTI-83
Plus or TI-84 Plus Graphing CalculatorSlide7
Grading Policies
Tests
50% A 90 – 100Quizzes 30% B 80 – 89Homework 10% C 70
–
79
Classwork 10%
D
60
–
69
F
Below
60Slide8
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 absentSlide9
Math is
NOT a Spectator Sport
Do your homework!
Participate in your groups!Slide10
Math Every Day!
Be prepared!Slide11
Respect
Pay attention
When I am talking/teaching phones should be awayNo talking while I am talkingSlide12
Lunch Tutorials
Wednesday A Lunch
Thursday B LunchSlide13
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 roomSlide14
Comments on leaving class
You will not be allowed to leave class the first 10 minutes of class or the last 10
minutesIf you initiate leaving classWait until I am not presenting material Ask before you leaveFill out the appropriate sign in/out binder in the front of the roomSlide15
Communication
Email: elogsdon2@wcpss.net
Website: mslogsdonmath.weebly.comSlide16
Would
You Rather
?A fun game of choices!!!!!!Slide17
Would you rather choose…...
Pepsi?
Coca-Coke?Slide18
Would you rather choose…...
Beach?
Mountains?Slide19
Would you rather choose…...
UNC?
Other...Slide20
Would you rather …...
Lose your cell phone for a week?
Have no internet access for a week?Slide21
Would you rather choose…...
To win the lottery?
Live twice as long?Slide22
Would you rather choose…...
Hot weather?
Cold weather?Slide23
Would you rather choose…...
To be super tall?
To be super short?Slide24
Would you rather choose…...
Have a pet dog?
Have a pet cat?Slide25
Would you rather choose…...
Hang out with Steph Curry for a day?
Hang out with Taylor Swift for a day?Slide26
Buying your first carSlide27
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). Slide28
So about that car
………Slide29
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.
START = 17000
NEXT = NOW – 150
a) Create a NEXT-NOW statement that will represent the scenarioSlide30
START = 17000
NEXT = NOW – 150
Use a calculator to find the value of the 24
th
month.
This is called an iteration
(repetition of a process)
$13,400Slide31
We can also represent this scenario using a
RECURSIVE FORMULA
(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 a
0Slide32
For example, if we have the sequence 3, 7, 11, 15, …
We would say a
1
= 3
And a
2
= 7
What would a
5
= ?
19
What’s the difference between a
0
and a
1
?
a
0
refers to an initial term, whereas a
1
refers to the first term of a sequence.Slide33
The notation a
n
refers to a general sequence.
For example, a
n
= 9, 2, -5, -12, …
So let’s write
START = 17000
NEXT = NOW – 150
using our new notation
a
0
a
n
a
n-1
n is considered the term number (must be a whole number)Slide34
Write the following sequences using a NEXT NOW statement AND write as a recursive formula
1. a
n
= 10, 20, 30, 40, …
2. a
n
= 2, 4, 8, 16, …
3. Write the first 4 terms of the sequence below:
a
1
= 2
a
n
= a
n-1
– 6
a
1
= 10
a
n
= a
n-1
+ 10
a
1
= 2
a
n
= 2a
n-1
2, -4, -10, -16START = 10NEXT = NOW + 10
START = 2
NEXT = 2NOWSlide35
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.Slide36
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
a
0
= 17000
a
n
= 0.991a
n-1Slide37
Use your calculator to find the value of the car after 24 months.
$13,684.11Slide38
How do you find the amount owed on the loan?
Start = 17,000
Next = 1.02Now - 500
Recursive Form
a
0
= 17000
a
n
= 1.02a
n-1
– 500
Amount owed on the loan:
$12,132.50
$17,000 with an interest rate of 2% per month, but you pay $500 a monthSlide39
Equity?
(Car value – amount remaining on loan)
Equity
:
Scenario 1:
$
1,551.61
Scenario 2:
$1,267.50Slide40
Practice with Recursive Formula
Do numbers 1, 2, 4, and 6Slide41
Homework
Day 1 Homework – Introduction to Sequences Worksheet
Remember!!Give your parent letter to your parentsHave them fill it out and return to me by Friday!!