Test Review

skills i need to have--

1. Measures of central tendancy (mean, mode, median)
   - measures of spread/variability(range, standard deviation of a population)
   
   GROUPED(Frequency table..L1etc.) VS UNGROUPED DATA.(single list)
2. Normal Distributions / Z-Scores
   -ronblond, normalcdf..... etc.
   
   *Is it normal or not?
   68-95-99.7 rule... 3 sets of tallies.. look in notes.
   
   Areas under the curve vs scores based on areas under the curve..
   
   Standardized tests
   - z-score..
3. Bionomial Distributions
   -mean=n times p
   standard deviation = sq root n times p times q
   p = prob success
   q = prob not success
   
   - binompdf(# of trials, prob success, no of success)
   - binomcdf ' ' ' '
   
   pdf - " exactly "
   cdf - " at most "
4. Confidence Intervals
   Stat - tests - A : 1 propZInt
   
   x=mean
   n=n
   c-level = either 0.9, 0.95, 0.99
   
   *read the question, or it'll lose me marks.
   - either precentages
   - real numbers of .. "3 ice cream cones.. "
   (... times the decimal.. with the number of ice cream cones)

*What does it (the interval) mean?

Sequences and Series.

one way -> mode - seq.

BIG IDEA.
*solve problems using technology ( at least 4 methods),
to predict population, exponential, fractal geometry trends.

ex.

The moose population near hudson bay seems to be increasing. The mortality rate is 12% per year, but generally, 30 new calves are born every year. If the herd size is known to be 800 animals in 2008, answer the following:

a) SHOW POPULATION numbers for the next 5 years, starting with 2008 As year 0.

STRATEGY NUMBER ONE.
"home - screen calculator"
200 moose - (.12%*200)= whatever, + 30 moose.

STRATEGY NUMBER TWO.
"sequence mode"
u, v and w all are different sequences.

STRATEGY NUMBER THREE
excel

STRATEGY NUMBER FOUR
SHODO
www.shodor.org/interactivate/activites/sequencer/
fair game
n=200
x 0.88
+30
steps (my choose)


b) HUNTERS want to hunt moose.
Design a plan to hunt moose and maintain the population at between 200 - 225 moose....
* you may bring more moose from outlying areas every year.

things to pay attention to....

1. EXAM (2 parts)
A) part 1 - longer answer
MONDAY, JAN 28TH. @ 1030 ROOM 204
*** noon hour extension to a maximum of 1230pm
* constructive response
SHOW ALL YOUR WORK.

B)PArt 2 - selected response(multiple choice)
THURSDAY, JAN 31 @ 1250 ROOM 204
no extension *3:40pm maximum(50-60 multiple choice)


2.Blog Rubric
- fill it out, if he agrees i get the marks.
out of 15 points.


3.Accelerated Math
- FRIDAY, JAN 18- first deadline (50 objectives)
- FRIDAY, FEB 1 - last possible day to scan (53+ objectives@12noon)


4. Circle geometry quiz
(one on one with him, prior to end of course)


FINAL EXAM
30% of grade in the course

Simple and Compound Interest

Simple- interest that gets calculated a grand total of one time

compound- interest is calculated continuely at the end of every compounding period

Interest:
(think 2 perspectives)
* lend .......... * borrow.
(invest) .......
*to bank ..... *from bank
give ......... get

An amount of money generated through the use of 3 variables:
PRINCIPAL AMOUNT(P)$
INTEREST RATE (r)%
TIME (t)years

SIMPLE
I=(P)(r)(t)

COMPOUND
A=1(P+r/n)n(t)

P=principal
r=rate
t=time
n=number of compoundings per year
I=interest (by itself)
A=amount(principal plus interest)




Example

Bob invests money. He starts with $1000.00. He invests it at 5% interest. He invests only 1 year at a time, but every year he decides to reinvest his interest. Calculate the value of his investment at the endof 5 years.

^^ simple interest(5 times).
I=Prt

I=?
P=1000
r=0.05
t=1

1.....I=Prt
=(1000)(0.05)(1)
=$50
at end of 1st year, he earns $50.

2.....
I=Prt
=(1050)(0.05)(1)
=$52.50

3.....
I=Prt
=(1102.50)(0.05)(1)
$=55.13

4.....
I=Prt
=(1157.63)(0.05)(1)
=$57.88

5.....
I=Prt
=(1215.51)(0.05)(1)
=$60.78

Total value of his investment:
$1276.29
^^ this is the compounded amount
(interest was added.. (compounded)
to the principal each time).

OR ..
once through this formula.

A=P(1+r/n)n(t)
A=1000(1+0.05/1)(1)(5)
A=1000(1.05)^5
A=1276.28

Hmmmm.... remember this ..
y=a*b^x

Linear inqualities

Linear Inequalities (Graphing RULES with LOGIC TESTING)

Consider this:
-8x + 4y - 3 >= 0

What do i do with this without graphmatica?

4y>= 8x +3
y >=2x+3/4

similar to y= mx+b
y= 2x +3/4

I kno that the corresponding linear equation, goes through (0,3/4) and that the line has slope 2.

Linear Programming

Linear Programming

We start by understanding that:

1) Equations create linear/non linear "curves"

****2) inequalities create "plane boundaries".

{shaded regions}

OPEN VS CLOSE

boundaries

< > <>

an open circle number line a filled in dot

dotted line plane solid line

Linear programming is concerned with the answers to the questions of "Where do the boundaries of the open or closed regions intercept".

A pet store farmer has turtles and rabbits. He has room for only 100 pets. He can sell turtles for $10 each and rabboits for 30 bucks each. He decides that he must earn at least 1500 bucks to make the job worthwhile.

a) Write the inequality that respresents the total of pets?

b)Write the inequality of that represents the total profit?

c) Graph these inequalities.

d)What are some possible solutions for the farmer?

a) T + R <(less then or equal to) 100.

b)10y+30x >(greater than or equal to)

d) (25,75) ;; (100, 0) Get rid of the turtles. The rabbits make more money.

Whats on the test?

1 . Mechanics
- functions and relations
- domain/range (x+y display graphs as proof)
- calculator stuff
(tracing, evaluating, windows, zooms, tables, graphs... etc.)


2. Quadratics

y-k=a(x-h)^2 form..
=(h,k) vertex
a ..determines opening..

OR..

y=ax^2 + bx + c Standard form.

- symmetric
(about the axis of symmetry)
y=ax^1 - linear
y=ax^2+bx -quadradic
y=ax^3+bx^2+cx -cubic

2 kinds of questions..
a) your given the function, answer questions
b) given table of values ; DO regression from the stat plot QUADREG

• USE ANY STRATEGY TO SHOW WORK TO RECEIVE MARKS!!

- Excel, Graphmatica, Calculator etc.

3. Cubics
*box volume or relative min./max problems

up...... minimum.

down.... maximum.

**on cubic functions, there is a RELATIVE maximum and a RELATIVE minimum.


4. Exponentials

no e questions

WILL have to use EXPREG to create y=a.b^x