Math Studies I- Set Notation 10-25-10 (^_^)by chris

Ok so here's the agenda (i dont know how to do roman numbers so i'll just type the number)
1.-Bell Ringer
2.-Set Notation
3.-Class work

Bellringer: How many elements are in the set
b.{all even positive integers less than ten}
c.{all even numbers}

Objectives: Students will express sets using set notation
Big idea:Set theory helps to identify the relationships of different groups of data.

Ok so even though this wasnt part of the bell ringer, we talked a little about probability.
If i flip a coin there's a 1/2 change it would be heads. If we flip the coin again, there's also a 1/2 change it'll be either heads or tails. Now if we put this data in a diagram it would probably look like this:
---H1/4 = HH
----H1/2 -
Quarter--- --- T1/4 =HT
---H1/4 =HH
----T1/2 -
---T1/4 =TT

this was not supposed to look like this >:(
anyways, if you throw the quarter twice, the probability of getting HH would be 1/4. right?
NOW GOING BACK TO SUBJECT
Ok so first we have to go all the way back to chapter one and review a few things. Miss Sullivan said I should know this but i dont so im just going to write it down.
-Set is a collection of numbers or objects; we use capital letters to represent sets.
-You should know subset, so i wont explain that in detail. We use C_ (the line goes under the c) to represent is a subset of.
-E reads is an element of and E/ (line cuts through the E) reads is not an element of
-{ } represents the empty the empty set containing no members.
-Z:integers R: Real numbers
Ok so now we need to tell the difference between FINITE and INFINITE
-A set can have a finite number of elements and so is said to be a FINITE set.
example. we can say the set of positive integers less than 1000^9 is a finite set. although very large is finite.
-INFINITE sets are sets which have infinitely many members.
example: R={all real numbers between 2.1 and 2.2} is infinite.
According to miss sullivan this is where we start using some fancy words.
Now i didnt quite understand how she explained the lesson so im going to use the book to explain it to you guys. (Page 69)

Ok so lets say I have the following problem:
A={b l b E Z, 4 <>}. The bracket { means "set of all", and the l means "such that".
so, we know Z means integers, and that E means "element of". Now that we know our symbols, we can write it down into one sentence:
"A is the set of all b such that b is an integer between 4 and 10"
EASY RIGHT?
now,This is THE MEANING OF THE SET BUILDER NOTATION
But, we can also A.-list the elements of A and B.-tell whether this is finite or infinite.
A={5,6,7,8,9} B.-this is a finite SET
HOPE YOU GOT IT :)
for homeworks!!!!!!!!!!!!!!!!! pG 69 exercises 3,4 and 5
and my question to you guys is: DiD yOu uNdeRstAnd ToDays lesson?!?!?!..........HA!!!! you wish that was your question!!!!!
You can answer any of these three questions!!! I want the SET BUILDER NOTATION, list the elements of the set (if possible) and tell me whether is finite or infinite, ha! ENJOY >:)
1.-A={x l x E Z, -2 < x < 7}
2.-A={x l x E R, 3 < x < 4}
3.- A ={x l x E Z, 7 < x < 20}
Sorry i blogged late, but you have all week to answer so... yeah.

IB MATH STUDIES 10/18/10

BR: Kate works at McD's earning $8.75 per hour...

a. How much is earned in a 25 hour week?
8.75*25= $218.75

b.If her weekly wage is $250.00 and now works 22 hours what is her rate?
250/22= $11.36

AGENDA
1 Bell Ringer
2 Review for Test
3 Questions


Objective: Students will use rates and conversions to quantify answers.

Big Picture: Different parts of the world quantify data differently.


Question: How do you think you will do on the test Wednesday?

Monday - Oct 17 - By Daria :D

I Bellringer

Nairobi is +2 and Honolulu os -10. What time is it in Nairobi when it is 2 p.m. in Honolulu?

Answer: 2 a.m.

II Chapter II Review

Objective

Students will review concepts of chapter 3

Big Picture

Measurements are vaules in units that can be converted and whose accuracy can be qualified.

Notes on Review

7. 3.6 x 10 (4) kmph - how far would it travel in a day?

3.6 x 10 (4) x 24 = 8.64 x 10(5)

3.6 x 10 (4) kmph - how far would it travel in a year?

8.64 x 10 (5) x 365.25= 3.16 x 10(8)

8. b. round 0.0473 to 2 decimal places - 0.05
2 sigificant figures - 0.047 (since the zeros are not signifcant figures because there is no numbers before the zero.

10. a. How accurate is a tape measure marked in cm?
+/- .5 cm

Homework: Review Set 2B page 65 #1-13

Question:Who ruled half the world back in the day? How did it affect time?

October 15th Math Studies

Bell Ringer

You estimate that your walking speed is 6 mi per hour you live 2 miles from school and you arrive in 18 minutes, what is your actual

1. Speed in miles per hour?

2. What is the error in your estimate?

remember under estimate---> negative error

3. What is the percentage error in your estimate?

Answer

2 miles 6 miles per hr

2minutes 18 minutes

6/60 .1mile/min .9miles/9minutes

2/18 1mile/9min -.1/9

(+.1/9)

_____ = 11.9% in minutes

(.9/9)

Homework

Review set 2A p.64 ( due Monday)

Question:

Do you UNDERSTAND how to find a percentage error in your estimate?

Error & Percentage Error

Error is introduce based on the accuracy of your tool.

To fine error:

You subtract the estimated measurement buy the accurate measurement

To fine percentage error:

It is error over accurate measurement and then multiply by 100

Homework:

Pg 63 numbers 2-5

No i dont really understand the concept of Wednesdays lesson...

October 6, 2010, IB Math Studies.

Bell Ringer:

A box container has a width of 10, a length of 6 and a height of 2.

Given the formula

v=l*w*h

What is the range of possible values for the volume?

Answer:

smallest possible value- 1.5cm*5.5cm*9.5cm=78.375cm³

^{largest possible value- 2.5cm*6.5cm*10.5cm=170.625cm3}

^{Range*140cm3-78.375=61.625cm3}

^{there is an error in each specific measurement.}

^{actual error/actual measurement* 100=44%}

^Agenda:

^{I. Bell Ringer}

^{II. Homework Review}

^{III. Error & Percentage Error}

^Objective:

^{Students will quantify the error introduced by measuring, estimating, or rounding.}

^{Big Picture:}

^{Tools used in measurement are limited in their accuracy.}

^{basically you find the actual measurement and your actual error you divide it and multiply it by 100 to get your percentage of the actual error.}

^Homework:

^{Finish the second part of the investigation ( page 61. Investigation #3. #3,4, & 5)}

^{Question: Did you truly understand the concept of today's lesson?}

Oct. 5, 2010

Agenda:
I. Bellringer
II. Error and Percentage Error
III. Practice Error

Bellringer:
Gym A charges $25 a month plus a $70 initiation fee.
Gym B charges $35 a month plus a $20 initiation fee.
a. Which is cheaper at 6 months?
b. When does Gym B start costing more than Gym A?

Answer:
a. $25 * 6 months = $150
$150 + $70 = $220
by the end of the 6 moths, Gym A charges $220

$35 * 6 months = $210
$210 + $20 = $230
by the end of the 6 moths, Gym B charges $230

b. Gym A:
1st moth: $95
2nd month: $120
3rd month: $145
4th month: $170
5th month: $195
6th month: $220

Gym B:
1st moth: $55
2nd month: $90
3rd month: $125
4th month: $160
5th month: $195
6th month: $230

by the end of the 6th month, Gym B will e charging more money then Gym A

Objective:
Students will find the error in given scenarios.

Big Picture:
Mathematics provide a method for measuring accuracy.

Homework:
Page 60 # 6-10

Notes:

if you have an angle that measures 60 degrees....
it is between 58.50 degrees and 59.50 degrees

if you have a line that is measured as 5.4 cm....
it is between 5.35 cm and 5.45 cm

if you have your speedometer reading 64 mph....
it is between 63 mph and 65 mph

BASICALLY....
Take the accuracy of the units and divide by 2

Please remember to bring your calculators EVERY DAY

Question:
What do you find hardest in this class so far?

10-04-10

Bell Ringer:
If you are paid $12.50 an hour, and work 22 hours a week and are paid every other week, how much is your Gross Pay on your check?

Agenda:
I Bell Ringer
II Using Rates
III Investigation

Objective:
Students will use rates to model intersecting functions

Big Picture:
Rates allow you to quantify to different units in term of each other

Stuff:
Rate of pay 12.50 hr weekly rate of pay
12.5*22=275.00
Bi-weekly Rate of Pay
275*2=550.00

Did You Know?
Included taxes in pay checks: S.S, Medicare, Federal and Sate


52.0-38.6(weeks)=13.4

11.4/38.6= About 30% is set aside

Question:
Do you understand how rates are used? If not, what's difficult about it.