Grade 12 students in Manitoba learning Applied Math... They're in two different towns, and happen to be connected by Highway 10...They'll be learning with and from each other. Ryan Maksymchuk and Cam Bennet are teachers in Swan River and Dauphin, Manitoba, respectively. This is a bright idea that may encourage other teachers and students to consider collaborating with other learners in other places...It might work. It might not...Watch and see...

Wednesday, March 25, 2009

March 25, 2009

Today in Mr. Bennets class we learned how to use thie TVM solver on our calculators. The TVM solver is pretty handy and could very well be used in everyday situations. TVM stands for Time, Value of Money.

To access the TVM solver press 2nd function finance.
Then press enter on the TVM solver.
Then you should see... N ( Total number of payments)
I% ( Annual interest rate as a percent)
PV ( Present value)
PMT ( Payment each period)
FV ( Future value, or accumulated amount)
P/Y ( Number of payments per year)
C/Y ( Number of compounding periods per year)


A positive value indicates the amount is earned, and a negative value indicates the amount invested.

An example of what we did in class:

Solve for FV ( future Value)

You decide to invest $6500. the bank offers a interest rate of 8.25% compounded annually. What will your money be worth in 7 years if the interest rate remains the same?

Step 1- find the TVM solver, then fill it in
N=7
I%=8.25
PV=-6500
PMV=0
FV=0
P/Y=1
C/Y=1

Then to figure out what the future value will be you put your cursor beside FV and press ALPHA then ENTER

The right answer should be
FV=11321.62307
This means your investment will be worth $11321.62 in a total of 7 years time.


We also learned the RULE OF 72
This rule figures out how long it will take to double your money.
The formula is:
T = 72 / Annual interest rate

After we were done listening to Mr. Bennet we were assigned Page 158 in our text books.
We were to do questions #2 and #6 using the TVM solver.

Wednesday, March 18, 2009

Design and measurement

Today in Math we started a new unit Design and measurement. In this unit we will each have to make a twenty mark question for our up coming test. Its pretty basic except for a couple of things.
3 feet = 1 yard 1yd^2 = 9 ft^2 12 inches in a foot. Make sure you add the taxes after your done adding up your total. When you add your taxes to your total amount you multiply your total by 1.12 because PST = 7% GST = 5%.

Tuesday, March 17, 2009

stats test Overview

Stats overview - test is Thursday

Mean, median and mode
Frequency Table

3.1 Types of distributions – Binomial – 5 step test
Binompdf command (eg. Exactly 17/20 free throws)

Standard Deviation – Kingston and Brooks Expressways

3.2 Mean and Standard Deviation
Mean of binomial distributions μ= np
Standard deviation

3.3 Normal Distribution
68 – 95 – 99% rule
Using “exact” z-scores ±1 ±2 ±3 σ

3.4 Standard Normal Distribution
- Using z-scores
- ShadeNorm – finds the % given z-scores

InvNorm - left to right
- finds z-score given %

3.5 Normal Approximation to the Binomial Distribution
npq > 10 μ= np
ShadeNorm

3.6 Confidence Intervals μ ± 1.96σ
1-Prop Z Int
Margin of error
% margin of error.

sample video

This is a link to a sample math video. You can use this for inspiration for your bonus assignment.

Monday, March 16, 2009

Today we learned how to do confidence intervals. an important formula is mu plus or minus 1.96(standard deviation). thats how you get your confidence interval. They would use this kind of stuff in surveys. It is alot easier to do on the calculator. We are having our stats unit test this Thursday but Nick will write in on Wednesday.

Friday, March 13, 2009

hi how do you do digital friends? Here ya go...

today we are on tutorial 3.5 on page 126 in our little math book and this unit we are learning the normal approximation to a binomial distribution. here is some things we have learned on Friday the 13th.

The bigger the value of n the harder the binompdf and the closer the normal approximation is to the correct value.

Rule: if N P Q is greater than 10 then use the normal approximation to the binomial distribution.

P129
example

n= 650
p=.048
q=.952 100%-4.8%=95.2%

npq 650(.048)(.952)=29.7>10 its OK! guys


mean=650(.048)=31.2
standard deviation= square npq square 29.7=5.45

z=x-m/standard deviation 30-31.2/5.45=-.22

draw the graph

shade norm(-.22,5)= .587=58.7%

how did we do it?
here we go!

step 1: determine npq *remember q=1-p
step 2: determine if npq is bigger than 10
step 3: determine mean and standard deviation * remember mean = np
and standard deviation = square npq
step 4: calculate appropriate z score * remember z=x-m/standard deviation
step 5: just draw the graph
step 6: use shade norm appropriately

thats all remember to do page 1-8 on page # 130



holla

Thursday, March 12, 2009

March 12/2009

Today In class we started off with some mental math. After that we went over vector question #7 from exercise 3.
He then showed us how to print from Euclid, by pushing the prtSc button which is on the top of the key board, then you open up word and right click and paste your picture, and she's ready to print.
We then did a vector question that we handed in for marks . The question was, Diver on ocean floor, walking 40m in a direction w37 degree's followed by another walk measured 25m at a 130 degree bearing calculate Resultant? We then went over the question and the answer was, the resultant vector is 42.09m, in a direction 18 degrees west of south.
Hello all fello math students! Its Courtney here, reporting to you on this fine Thursday morning. I can't beleive tomorrow is Friday already, not to mention Friday the 13th! Look out!

Today, Mr. Bennet was in a dandy mood and gifted us with a work period, but of course there is always a catch! We have to show him what we have accomplished through out the class and what we have learned. At the beginning of class, Mr. Bennet handed out our Statistics unit project titled "Quality Control in the Manufacturing Industry". He also handed out an old statistics test for review, so we can study for the test coming up on either Wednesday or Thursday of next week.

Since I got to put down a question plus the answer, I'll give ya all a head start on the statistics review test! ;)

1. The following data represents the time spent in a doctor's waiting room in minutes.

2.5 12.5 15 3 4.5
13 16 10 6 9
10.5 11 15 5 15.5
15 20 35 11 15
6 10 25 3.5 9
8 15 20 5 7

Find the mean and standard deviation of the data. Is the data normally distributed? Justify your answer with your knowledge of the normal curve.

*Enter All in L1 in graphing calculator
Stat Calc
1 Var Stats L1

Mean= 11.8
Standard Deviation= 6.93

+-/ 1 Standard deviation = 11.8 +- 6.93= 4.87 -> 18.73

how many between?
22/30= 73%

+-/ 2 Standard deviation = 11.8 + 2 (6.93) = -2.06 -> 25.66

how many between?
all red 29/30 = 97%

[Almost follows 68, 95, 99% Rule, Some what normal.]


And there you have it! Well Im out, I gots lots of work to do! :)

Keep it Real...
Courtney

Wednesday, March 11, 2009

March 11th Lesson

Helllo! well today in class we learned alot..... ha.
today we learned about Percentiles and what they are used for and do.
Example 1: 80 percentile
--> Means that you are better than 80% of the population
Example 2: 100% percentile
--> Means you are 100% the BEST! whoo

We had also learned about Invert Norm which is the opposide of shade norm.
*Given the shaded area, invert norm returns or gives back the z score that would shade that are.
..Do you understand?
*Shade Norm you know the z-score and want to know the percent%
*Invert Norm you know the percent% and want to know the z score

To find Shade Norm on your calculator you hit:
2nd DISTR -> DRAW 1:ShadeNorm(

To find Invert Norm on your calculation you hit:
2nd DISTR 3: invNorm(

Today for work we got a hand out called excercises standard normal distributions and were to do numbers 1-15 and also got another hand out called invert norm questions and were to do numbers 1-6.

well thats it for today.. peace
Heey Everyone,

Here are some ways to better understand Binomial Distribution,

For a Binomial Distribution

  • m= mean
  • n = number of trials
  • p= probability of sucess
  • q= probability of fail
  • σ = standard deviation
  • √= square root
Equations:
  • m=np
  • σ=√npq
  • q= 1-p

[**For extra work on Binomial Distribution you can go to page. 108 in your textbook**]

Talk To You Later,

Brady*

Tuesday, March 10, 2009

today in class i fell asleep again so my blogs gonna be bad and i dont like constructive sentences we learned about standard normal distribution tutorial 3-4 the formula is z=x-mew over sigma the calculator comes in useful in this unit so remember to not leave it at home like i did the steps are
1 2nd function distribution
2 draw_ shade norm it always goes left to right
3 type in the numbers put brackets in the right place
4 write down the answer
if there are two shaded areas you need to find add them up to get the answer

Monday, March 9, 2009

3-3

Greetings, to whomever actually happens to be reading this

Today, to the best of my understanding, we learned about standard deviation. A majority of the examples and work we accomplished pertained to the 68-95-99% Rule. The first standard deviation contains 68% of data. 95% of data is within two standard deviations of the mean, and 99.7% is within 3 standard deviations.

This is a very vague description. For futher inquiry, as well as assigned homework, see PAGE 116 QUESTIONS #1-9

Friday, March 6, 2009

tutorial 3-2

hey everybody its icy today here..

today we were learning how to find the mean and standard deviation of a binomial distribution which looks like this

n*p=m binomial distribution
in stead of going threw the whole binompdf on the graphing calculator you can simply find the n which stands for number of trails the p which is the probability of success once you have found be you can find q which is q=1-p in order to find the strandard deviation you just plug in the numbers to this formula
squareroute of npq
so it would look like this in an example
squareroute (300)(.028)(.972) and that willl give you your stand deviation
to find the mean of abinomial distribution you find n and p and multiply them

we were assigned to do page 108 questions 1-6,8 from our text books for work plus a couple of worksheets to get a better understanding of all of this





Thursday, March 5, 2009

DRCSS kids

Hey you guys really need to check your email.....I can't wait forever.....
Sup Yo!

Yesterday we learned Distributions 3.1! We learned about Probabitlity Distribution, Uniform Distribution, A Binomial Experiment and also A Binomial Distribution.

**Probability Distribution: gives the theoretical probability for each outcome of an experiment. it can be displayed as a table or as a graph. Here are two important properties of probability distribution.
1. the probabilities are between 0 and 1.
2. the sum of the probabilities is always 1.

**Uniform Distribution: is a probability distribution in which the probabilities are all equal. For example, an experimen consists of tossing a single 6 - sided die and noting the number on the face of the die.

** Binomial Experiment: has a fixed number of independant trials in which the outcomes can be classified as a sucess or failures.

** Binomial Distribution: is the probability distribution for a binomial experiment.

*We learned the steps on our calculator to calculate and graph binomial distribution!

have a good day...

peace out,
Brady!

Wednesday, March 4, 2009

Matrices 4


Continuing the experiment, try to watch it sometime!
This video is about Network Matrices!
also the song was made on GarageBand!!!
Enjoy,

Nemo

Matrices 3

Little experiment, try to watch it sometime!
This video is about Transition Matrices!
also the song was made on GarageBand!!!
Enjoy,

Nemo

Tuesday, March 3, 2009

Steps to use TI 83 for mode,median and mean

1. turn on your calculator
2. Stat, Edit and punch in your data in L1 or L2 and so on.....
3. 2nd Quit, Stat, Calculate, 1-Var Stats
4.Punch in your L1, use comma ( , ) if you need to then press enter
5. write down your mode and median or what ever data you need from the screen.