Math Blog 873 (2008): frank-73

Showing posts with label frank-73. Show all posts

Francis' Last Fraction Post

11:04 PM

The Fractions word problems from a long time ago.

One week, Kristi worked 3 days at a department store for 3 1/2h each day. She was paid $9/h.

A How many hours did Kristi work that week?

3 1/2 x 3/1= 21/2 =10 1/2

Kristi worked 10 and 1/2 hours in the department store.

B How much did Kristi earn that week?

9/1 x 21/2 =189/2 =94 1/2 =$94.50

Jupiter completes about 2 2/5 rotations every 24 hours. How many rotations does Jupiter complete in 1 Earth week?

2 2/5 x 7/1 = 12/5 x 7/1 =84/5 =16 4/5

Jupiter completes 16 4/5 rotations around earth every week

#3
A sailboat is sailing at 8 1/2 km/h. If the weather conditions and the current do not change, how far will the sailboat travel in 1 1/3 h?

8 1/2 x 11/3= 68/6 =11 1/3

The sailboat will travel 11 1/3 km

The distance to Grandma's house is 4/5 of the distance to Uncle Glen's house. If Uncle Glen's house is 3 1/2 hours away, how long will it take to get to Grandma's house if you travel at the same speed?

3 1/2 x 4/5 = 28/10 =2 8/10 =2 4/5

it would take 2 4/5 of an hour to get to grandma's house.

It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days?

3/5 x 5/1 =15/5 =3/1 =3

It would take 3 tanks of gas for every 5 work days.

Owen is 2 1/4 times as old as Robin. When Robin celebrates his 8th birthday, how old will Owen be?

2 1/4 x 8/1= 2/1 x 8/1= 18/1 =18

When Robin is 8 Owen will be 18 years old.

The karate club is arranging a grading for its members. It takes 3 1/4 hours to test a group of 4 candidates. How long will the club need in order to process 3 groups of 4 candidates each?

3 1/4 x 3/1 = 39/4 =9 3/4

The club will spend 9 and 3/4 of an hour grading its members.

Frank 9-05

fractionpost, frank-73

6:27 AM

(0) Comments

Andrew9-06

Andrew-73, frank-73

Math Questions

9:38 PM

(0) Comments

6. One week, Kirsti worked 3 days at a department store for 3 1/2 h each day. She was paid $9/h.

a) How many hours did Kirsti work that week?

6. b) How much did Kirsti earn that week?

10. It takes 3/5 of a tank of gas to get to work and back each day. How much gas is used over 5 work days?

11. Own is 2 1/4 times as old as Robin. When Robin celebrates his 8th birthday, how old will Owen be?

Frank 9-05

frank-73, Multiplying Fractions

Skills Work

9:35 AM

(0) Comments

Adding Mixed Numbers.

This is my mini scribepost on adding mixed numbers.

These are the mixed numbers I will be adding.
1 3/4 + 1 1/8 =
2 4/5 + 1 1/2 =

1 3/4 + 1 1/8=1 12/16 + 1 2/16 = 2 7/8

I added the whole numbers first and which added up to 2. Then I made the denominator 16 instead of 32 because it would take longer. I knew 3 quarters of 16 was 12 and 1 eighth of 16 was 2. Then after, you just add the fractions and it would be 14. But since 14 and 16 were equal, i divided it by 2. So the fractions is 7 over 8. Made it into a simplified fraction.

2 4/5 + 1 1/2 = 4 3/10

I made the denominator 10 because 5x2=10. Then I made the numerator 8 because 5 fits into 10, 2 times. Then I made the other numerator 5 because 2 fits into 10, 5 times. I knew if you added 5+8 it would make an improper fraction. So I made another whole number. Then I added all the whole numbers up and it became 4 3/10.

Frank 9-05

fractions, frank-73, Skills

Scribe Post for March 2

7:55 PM

(2) Comments

The Following times were recorded, in seconds. For the runners in a race.

20.2, 16.5, 40.4, 18.5, 21.4, 20.5, 17.1, 24.5, 19.0

What is the range of the times?

What are the mean and median of the times?

Identify any possible outliers. Should the Outlier(s) be removed from the data set?

The first thing you should do is arrange the data set in ascending order.

16.5, 17.1, 18.5, 19.0, 20.2, 20.5, 21.4, 24.5, 40.4

We will start with the range

to get the range you must take the greatest number and subtract the least from it.

Greatest - least = range

40.4 - 16.5 = 23.9

Next we will find the median this is where the ordering in ascending order comes in handy.

You have to find the middle number one way is to get rid of the ends so until you only have one or two numbers in the middle.

To get the mean you need to add up all the numbers in the data set and divide by how many numbers in the data set.

sum of all data 198.1

_________________ = 22.01

number of data 9

last we will find the outlier if there is one an outlier is a number that doesn't fit in in this case all the numbers are less than 25 but one which is 40.4 it is an outlier. sometimes an outlier will kill the set of data and destroy the mean with the outlier the mean is 22.o1 without the outlier it is 19.71 Sometimes it is smart to take out the outlier before finding the mean. For example it is smart to take it out so it doesn't completely mess up the mean.

we also did some triangles here are two of them of them.

Frank 9-05

frank-73, scribepost

Pythagoras Theorem

1:04 PM

(2) Comments

In two weeks we learned about the pythagoras theory. Now i will show you what i have learned so far.

This is a right triangle or R.A.T (right angled triangle). The longest part of the triangle is called the hypotenuse (hypotenuse = c). The legs are what create the 90 degree angle. The letters used for the legs are a and b, and it doesn't matter which line you put a or b on. The square at the corner of the right triangle tells you that it's a 90 degree angle. The sign that looks like a circle with a line through it is called theta and the the sign that looks like the letter b is called beta.

This is a square. Squares a quadrilaterals. You can tell that the the square's side are all equal because of the line on each side of the squares. Again, the squares at the corners tell you that it's at a 90 degree angle. The internal angle of the square is 360 degrees (90 x 4 = 360).

This is the formula for the Pythagorean Theorem. Pythagoras was able to prove this formula using the right triangle, and the squares.

This mystery man is named Pythagoras. He was a Greek teacher and philosopher. Pythagoras calculated the circumference of the earth and realized that the earth is a sphere. He is also a vegetarian. Pythagoras discovered the Pythagorean Theorem (a² + b² = c²). Picture taken from Mr. Harbeck's blog post.

In this problem, we have to find out what the letter b is. We know that a = 8, and c = 10. So this is how it starts :

a² + b² = c²
8² + b² = 10²

Now, to isolate b², we add negative 8² to both sides:

8² -8² + b² = 10² - 8²
b² = (10x10) - (8x8)
b² = 100 - 64
b² = 36

Then, to isolate the b, we square root. We do the same thing to the 36 :

b = 6

But we're not done yet! Since there are 2 triangles in one, we're figuring out the b for both of them. So:

b + b
6 + 6 = 12

So the b for the whole triangle is 12 mm!

Problem 2

A checkerboard is made of 64 small squares that each have a dimension of 3 cm x 3 cm. The 64 small squares are arranged in eight rows of eight.

A) What is the length of the diagonal of a small square? Giver your answer to the nearest tenth of centimetre.

In this problem, we have to find out what the letter c is. We know that a = 3, and c = 3. So this is how it starts :

a² + b² = c²
3² + 3² = c²

Then we'll make it look easier by doing this:

(3 x 3) + (3 x 3) = c²

Then we solve it:

9 + 9 = c²
18 = c²

4.2 cm = c

B) What is the length of the diagonal of the board? Give your answer to the nearest centimetre.

In this problem, we have to find out what the letter c is. We know that a = 8, and b = 8. So this is how it starts :

a² + b² = c²
8² + 8² = c²

Then we'll make it look easier by doing this:

(8 x 8) + (8 x 8) = c²

Then we solve it:
64 + 64 = c²
128 = c²

11.3 = c

Frank 9-05

frank-73, Pythagoras

Scribe Post for December 15 2008

5:10 PM

(1) Comments

MATH TEST

Today in class we had a math test, on combining like terms, algebra .

These are some examples that we did on the test.

6x-(-3x) + 2x-9

6x+ (+3x) + 2x-9

6x + 3x + 2x -9
= 11x - 9

3x + 2(5x-7)

3x + 10x - 14

3x + 10x -14
= 13x -14

A number is divided by seven and then decreased by nine.

n (division sign) 7 - 9

Six less than a number divided by 4 is 25

n-6
__
4 = 25

I choose Alwin Tabbernakk for the next scribe post.

Frank 9-05

algebra, frank-73, scribepost

Franks Big Book of Algebra

10:42 PM

(8) Comments

Adding Integers

Adding Integers
Total, Combined
Add, Plus, Increased
Adding Integers is very easy
Combined.

Subracting Integers

Subtract Integers
The samething as addition
Change the opposite.

Quotative

Just like division
How many will fit into
Number thats chosen.

Partative

Partative division
Is like sharing cards among friends
Giving out evenly to each person
Sharing and giving.

Rule

Mel's Rock pile is always the best
because it always helps you on a test
When theirs odd amount of negative integers
your product will become negative
When theirs even amounts
Your product is postive.

Chapter 2.
Combining like terms and the Distributive Property

YOMAMA:Hey Weezy whatcha doing?

Weezy:Oh nothing just trying to study for my math test tomorrow.

YOMAMA:Oh really do you need any help?

Weezy:Well on this question n+3-5n+12 do you know it? i don't really get it.

YOMAMA:hmmm.. oh i think its -6n+15 im pretty shure.

Weezy:oh really how, did you get it?

YOMAMA:oh well first I regrouped it so that the variable is with the variable like this, n-5n+3+12.

Weezy:oh okay.

YOMAMA:Then i added the variables together like this, n+-5n which equaled, -6n, because the n still counted as a number which was one.

Weezy:Oh i think im catching on.

YOMAMA:then i added the positive 3 to positive 12 which was 15. So my answer would be -6 +15.

Weezy:Oh i get it now thanks alot ive been having a hard time in algebra

YOMAMA:no problem if you need help on anymore just tell me.

Weezy:Well there is one more.

YOMAMA:Oh really which one?

Weezy:Oh um this one its, 2 + 4(3n+8)

YOMAMA:Oh that one is really easy.

Weezy:oh really can u help me then?

YOMAMA:Oh well the answer is 12n + 10.

Weezy:oh but how did you get that because tomorrow is the test and the teacher said this question is gonna be on the test.

YOMAMA:Oh first i rearanged the +2 to the back like this 4 (3n+8)+2

Weezy:oh ok

YOMAMA:then i had to multiply the four to the numbers in the brackets like this, 4 times 3n Which equals 12n because you always have to bring the variable. then i multiplied 3 to 8 which equaled 24. Then i added the 2 at the back to the 24 because, it had no variable. Which equaled 26. you get the answer of 12n +26

Weezy:Oh really that sounds so easy. but that isn't the answer you told me earlier.

YOMAMA:OH! you are right the first answer i told you was wrong. sorry, but do you understand how to answer it?

Weezy:Oh it 's ok, and ya i get it thanks a lot!

YOMAMA:no problem! well i gotta go my homies are waiting for me

Frank 9-05

frank-73, greatbigbook, intpoetry, xtranormal

Leo's Big Book of Algebra

9:34 PM

(7) Comments

Chapter One

Adding Integers – (Haiku)

Adding integers,

Combined sum of integers,

Simple addition.

Subtracting Integers – (Picture) (minus or negative sign)

Subtracting integers, to remove,

Increase or decrease, take away

Partitive Division – (Picture) (a deck of cards)

Its just super easy

like a deck of cards

and giving out evenly

a card to each person.

That is like partitive

sharing, giving, divide.

Quotative Division – (Haiku)

Divide, fitting in

How many will fit into

A special number

Rule for Multiplying Integers – (Free Verse)

This rule is easy, and I'm not trying to lie

Because all you have to do is multiply!

When you multiply an even amount of negative,

Your answer or product will be positive!

But if there are an odd amount of negative,

Your answer or product will also be negative!

Chapter 2 - Combining Like Terms and the Distributive Property

Jack:Hey Jill!
Jill:Hey Jack
Jack:Do you want to go up the hill?
Jill:No not for today, but I got a new game we could play!
Jack:Okay what is it about?
Jill:It's about math. Combining like terms and the distributive property.
Jack:Okay, I'll try it.
Jill:Okay, try this question here, It's about distributive property. Here: "2 + 4(3n+8)"
Jack:Just give me some time to think..
(1 minute later)
Jack:Okay, I think I got it now!
Jack:Is the answer 12n + 10!
Jill:Nope your wrong!
Jill:The answer is 12n + 34.
Jack:Oh, now I know where I went wrong here.
Jill:Okay tell me what you did wrong.
Jack:I got 12n correct, It's just that I forgot to multiply 8 by 4 to get 32, then add the extra 2.
Jill:Yeah your right!
Jill:Okay now try this question, It's about combining like terms this time.
"n+3-5n+12"
Jack:Okay give me a little more time now.
(3 minutes later)
Jack:Okay I think I got it now!
Jack:Is the answer -6n+15
Jill:Nope wrong again!
Jack:Just wait, let me find my mistakes again.
(30 seconds later)
Jack:Oh I know where I went wrong!
Jack:I added the n to the -5n which would make it -4n but I thought it was -6n!
Jill:Haha yeah, your right again with the corrections!
Jack:Yeah I seem to correct it all the time.
Jill:Yeah, want to go up the hill now?
Jack:Okay

THE END

Chapter 3 One Step Equation Solving

Additive

Subtractive

Multiplicative

Divisive

Chapter 4 : Solving Equations with Algebra Tiles

Here is the video of equations with algebra tiles:

Leo-73

chapter 4, chapter3, frank-73, greatbigbook, intpoetry, justinp8-73, Leo-73, onestep, xtranormal

Franks Integer Story

4:59 PM

(9) Comments

Once upon a time, there was these 2 teens named Andrew, and his buddy Alwin. They were into skateboarding. So they decided to buy a skateboard together and share. So they headed off to West49. Andrew wanted a proboard. But Andrew wasn't sure if they had saved up enough money. But luckily, there was a sale that said "answer this question and get 50% off any branded skateboard accessories". Alwin wasn't so good at math, so Andrew had to answer the questions. First question was (+45) + (-85) = ...... So Andrew was thinking. He drew out the question on a scrap piece of paper.

So Andrew got the question correct. The answer was -3. But now Andrew had to buy wheels and bearings. He wanted to save money so he answered another question. The question was (+4) + (-4) = .... So Andrew drew out the question on the same scrap paper.

Andrew got the question right. So he saved 50% of his money already. He would have enough money left to buy trucks for the board, if he answers the next question right. (+3) + (+2) = ...... So Andrew did the samething again.

Andrew had got the answer correct and they were able to buy their dream board with the 50% question game. Now they are POSITIVELY HAPPY!

This is what their board looks like....

CONTINUED......

Now Andrew and Alwin are at about to enter the skatepark. But to enter the skatepark you must answer an integer question that involves SUBTRACTING! Andrew didn't know how to do subtracting with integers. So Alwin had to step up and answer the subtracting question. The guard at the entrance asked Alwin this question.... (+3) - (-4) = ......

Frank 9-05

frank-73, intstory, wworkshop

Scribe for October 17 2008

8:02 PM

(3) Comments

Today in class we had to gather up all of our tests that we did in math and then we had to put them all in our math porfolios. We had a class switch for math too, we had to go to Mr.Isfeld's math room, because Mr.Harbeck was teaching the grade sevens in his room.

In Mr. Isfelds room, we had to finish our Measures Of Central Tendency sheet, and hand it in to Mr.Isfeld. After that all we did for the rest of the class time was, play Nintendo DS.