## Wednesday, October 31, 2007

### Allison's First Growing Post

Which is larger?
1/2 + 1/6 or 1/4 + 7/12 ?

1/2= 30 minutes (60 ÷ 2 = 30)
1/6= 10 minutes (60 ÷ 6 = 10)
30 + 10= 40 minutes

1/4= 15 minutes (60 ÷ 4 = 15)
7/12= 35 minutes (60 ÷ 12 = 5 x 7 = 35)
15 +3 5= 50 minutes

1/4 + 7/12 > 1/2 + 1/4

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Ashlee's and my bike race:

What we did was when it said to go a sixth of the way we divided 6 by 60.
We did not see any patterns though..

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I chose this website:

http://www.gamequarium.com/fractions.html

The games are fun, they make you understand fractions more easily and understanding fractions.

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One way to get a quarter of 16, 1/4 x 16. Another way to get 3/4 of 16, cut i6 in half which is 8, then cut 8 in half which is 4. A quarter of 16 is 4. So, 8+4 is 12. 12 is 3/4 of 16.

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Which is larger?
1/2 + 1/4 or 1/6 + 1/3 ?

1/2= 30 minutes (60 ÷ 2 = 30)
1/4= 15 minutes (60 ÷ 4 = 15)
30 + 15= 45 minutes

1/6= 10 minutes (60 ÷ 6 = 10)
1/3= 20 minuites (60 ÷ 3= 20)
10 + 20= 30 minutes

1/6 + 1/3 > 1/2 + 1/4

-------------------------------------------------
My Mark:

Title- 1/1
Label- 1/1
Question 3- 4/5
Question 4&5- 2/3
Question 6- 4/5
Question 7- 2/3
Question 8- 4/5
Question 9- 5/5
Question 10- 7/7

Total: 30/35

## Sunday, October 28, 2007

### Danielle's First Growing Post

so 1/4+7/12 is bigger than 1/2+1/6

============================

Danielle and Jon's Bike Race

bike

======================================

i picked
http://www.gamequarium.com/fractions.html

==============================================
.
for this question I divided 16 diveded by 4 and that gave me 4.
Next I did i cut sixteen into half and then cut 8 into half and left one as 12.

=======================================

At first I multiplied 2x3=6 then you have to times the numerator by 3 also to get it to equal 3,
which would be 2/6 + 3/6 = 5/6 so the answer is 5/6.

Self Evaluation.
Title: 1/1
Label 1/1
Question 3 5/5
Question 4&5 2/3
Question 6 5/5
Question 7 2/3
Question 8 1/5
Question 9 2/5
Question 10 7/7
Total 26/35

### Mya's First Growing Post.

Which Set of fractions is larger 1/2+1/6 or 1/4+7/12 ?
1/2=30 mins. ( 60÷2=30 )

1/6=10 mins. ( 60÷6=10 )
30+10= 40 mins ..

1/4=15 mins. ( 60÷4=15 )

7/12= 35 mins. ( 60÷12=5x7=35 )
35+15=50 mins..

So,1/4+7/12 is larger than 1/2+ /6 ,. !
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Me and Chelsey's Bikerace.

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Fraction Game:
http://www.gamequarium.com/fractions.html

It helps you learn about fractions and have fun with it too ! ,

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-------------------------------------------

Okay, so,16 - 16÷ by 1/2=8 (2/4 already.) then,, + 4 because 4 = 1/4 of 16 and that would = 12. .

or , 4 is 1/4 of 16 so just multiply 4 by 3 which equals 12.

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Self Evaluation..
Title 1 /1

Label 1/1
Question 3 5/5
Question 4&5 3/3
Question 6 4/5
Question 7 1/3
Question 8 1/5
Question 9 1/5
Question 10 7/7

Total 24/35

### Chelsey's First Growing Post

Which is Larger 1/2 + 1/6 or 1/4 + 7/12??

1/4 + 7/12!!!!

What I did: 1/2+1/6

(60÷2=30.........1/2 of 60=30min.)

(60÷6=10..........1/6 of 60=10min.)

(30+10=40)

What I did: 1/4+7/12

(60÷4=15..........1/4 of 60=15min.)

(60÷12=5.....7x5=35.....7/12 of 60=35min.)

(35+15=50)<---- LARGER!!

Chelseey aaand myaa's Bikerace!

6. http://www.gamequarium.com/fractions.html I found this in google and you can choose from
playing games about changing fractions and comparing unlike fractions and etc.

7. When we did the bikerace project I used division, for the twelfth, sixth and a third I remember dividing the number by 60 and getting my answer.

8. To get 1/4 of 16 you would have to divide 16 by 4 to get 4, or you could cut the fraction in half (8) then cut those in half to get four pieces of 4. // To get 3/4 of 16 you would divide 16 by 4 to get 4. Then times that by 3 to get 12. You could also cut 16 in half (8) then cut one half in half(4) and leave one as 8 making it equal 12.

9. 1/2 + 1/3 does not equal 2/5.
How Did I Get That....
At first I thought 1/2 + 1/3 did equal 2/5 because I didn't no how to add fractions so i thought you added it like that. But now i no you would have to change the denominator to the number that both 3 and 2 go into equally which would be 6 . I no now that whatever you do to one side you have to do to the other. So if i times 2 x 3 to get it to equal 6 then i have to times the numerator 1 x 2 also to get the numerator to equal 2. Then if i had to times 2 x 3 to get it to 6 then i have to times the numerator by 3 also to get it to equal 3. So then in the end you get
2/6 + 3/6 = 5/6
so now I seethe answer is not 2/5 it is 5/6!!

10. Scoring Guide

Title --- 1/1
Label--- 1 /1
Question 3--- 4 /5
Question 4/5--- 2 /3
Question 6--- 4 /5
Question 7---2 /3
Question 8--- 3 /5
Question 9--- 4 /5
Question 10--- 5 /7

Total --- 26/35

## Wednesday, October 24, 2007

### Catfood and Fractions?

Here are the posters from today's math congress. I hope you will go to voicethread and leave a comment. We have a class account. spmath@yahoo.com
and the password is room## where you have math. In your comment talk about the strategy and what you understand. You need to pick a picture to talk about at voicethead, then comment.

Or you can comment on these slides from today's class.

Have a great day off. Please comment and complete your growing post!!

Here are the slides from today.

## Tuesday, October 23, 2007

### Ashlee's first Growing Post

Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12.
1/2+1/6=35/60 & 1/4+7/12=50/60
so 1/4 +7/12 is larger than 1/2+1/6.

2) What we did for this is that every time they said like one sixth of the way , we just took the number 60 and divided it by six. We did not see any patterns.

3) I think this game is a good game because it makes you understand what fractions are and if you go to another level you will end up being really great at it.

4) One way of finding 3/4 of a number is by subtracting.
Example:16-3/4= 15.25, 22-3/4=21.25, 110-3/4=109.25

5) Which set of fractions are larger? 2/4+1/3 or 1/2+1/4
2/4+1/3=45 and 1/2+1/4=40.
2/4+1/3 is bigger.

Title 1/1
Label 1/1
Question 3 4 /5
Question 4&5 3 /3
Question 6 4 /5
Question 7 3 /3
Question 8 4/5
Question 9 4/5
Question 10 6/7

Total 30/35

### Marc's First Growing Post

To get 1/2 of 60 i used a clock and cut it in half to get 30 minutes.
To get 1/6 of 60 i used a clock and cut it in 6 equal pieces to get 10 minutes.
That equals 40 min or 40/60 or 4/6
To get 1/4 of 60 i used a clock and cut it into 4 equal pieces to get 15 minutes.
To get 7/12 of 60 i used a clock and cut it into 6 equal pieces then i cut it in half again to make 12 equal pieces. Then once you know what 1/12 of 60 is you multiply it by 7 to get 7/12 of 60.
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Marc and Kevin's bike race.

6. http://www.gamequarium.com/fractions.html
This game is about equivilant fractions. If you get it right you get a pie slice.

7. I got the kilometer markers for 12, 6, and 3 by using using clocks since it's a 60 km race, i cut the clock into 12, 6 and 3. So 1/12 of 60 is 5, 1/6 of 60 is 10, and 1/3 of 60 is 20.

8. To get 1/4 and 3/4 of 16 is to go 16 / 4 then you multiply it by 3.
Another way to get 1/4 and 3/4 of 16 is to find what 1/4 of 16 is and multiply it by 3.

9.

10. Title: 1/1
Label: 1/1
Question 3: 3/5
Question 4&5: 2/3
Question 6: 4/5
Question 7: 2/3
Question 8: 3/5
Question 9: 4/5
Question 10: 6/7

## Monday, October 22, 2007

### Lester's First Growing Post

1/2 + 1/6 or 1/4 + 7/12
1/2 = 0.5 1/6 = 0.166 0.5 + 0.166~ = 0.66
1/4 = 0.25 7/12 = 0.5833 0.25 + 0.5833 = 0.833
now just compare the decimals 0.66 or 0.833
0.833 is larger
1/4 + 7/12 > 1/2 + 1/6.
As a picture looks like

Lester's Bike race

We labeled parts on the bikerace. We divided the numbers to know where to label them.

We also made a bikerace into a square and went around, to meet the beggining with the end.

The patterns for twelfth, sixth and a third they always went higher and doubled. Since 1/12 times 2=1/6 times 2= 1/3.

http://www.visualfractions.com/FindGrampy.html
This game site is good because it teaches you more stuff about fractions and distances.
I played this game for like 10 min, its kinda fun, then it just gets boring. It taught me some stuff about fractions and it was fun.

To get 3/4 of 16 is to go 16 divided 4 then you multiply it by 3. So 16 divided by 4= 4 then you times it by 3 which will equal 12.

1/2 + 7/12= 35 minutes
Use a clock to answer it
60 divided by 2 =30 minutes
60 divided by 12 = 5 minutes then you have to times it by 7= 35

## Sunday, October 21, 2007

### Jomarie's First Growing Post

3) Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12? 1/4 +7/12 is larger.

1/4 + 7/14 -
60 divided by 1/4 is 15.
60 divided by 7/12 is 35.
15 + 35 = 50

1/2 + 1/6 -
60 divided by 1/2 is 30.
60 divided by 1/6 is 10.
30 + 10 = 40.

4) I couldn't find my bikerace so I'm using Karen and Hanah's bikerace. Hope you don't mind (:
I choose Karen and Hannah's bikerace because Mariya and I also did the clock way because of the 60 km and the 60 mins.

5) Well my bikerace, Mariya and I did the clock way because there were 60 km and there is 60 mins in a clock. For each km its 1 so what we did were counting each square as 1 km.

6) Dolphin game. This game is about a dolphin race. You have to choose the biggest fraction piece to make the dolphin reach the finishing line first. I like this game because it helps you see which fraction is bigger in a fun way.

7) Tell us all about how you calculated the Km positions at a twelfth, sixth and a third. What we did was 60 divided by 12 equals 5, 60 divided by 6 equals 10 and 60 divided by 3 equals 20. Did you see any patterns? I see that they are all divisible by 5 and I see 5 times 2 equals 10 then 10 times 2 equals 20.

8) What are 2 different ways to find a quarter and 3/4 of a number. Use one of the following 16, 22, or 110. Using division and times. For 16 - What I would do is, 16 divided by 1/2 is 8 (thats 2/4 already) then plus 4 because 4 is 1/4 of 16 and that would equal 12. The other way is, 4 is 1/4 of 16 so just times 4 by 3 which equals 12.

9) 1/2 + 1/3 doesnt equal 2/5. Because if you us the clock way 1/2 (30 mins) + 1/3 (20 mins) = 50 mins, and 2/5 only equals 24 mins.

10) Scoring Guide

Title 1/1
Label 1/1
Question 3 5/5
Question 4&5 1/3
Question 6 4/5
Question 7 2/3
Question 8 4/5
Question 9 4/5
Question 10 6/7

Total = 28/35

Which is larger, 1/2 + 1/6 or 1/4+7/12

a. to compare 2 fractions, we must get the LCD (least common denominator) if the denominator is not the same but if the denominators are the same, we just need to look the difference of the two denominators. we are comparing fractions in with additions, so we are going to use methods such as decimal, percentage, clock, least common denominator, and using pictures.

clock method:

1/2+1/6

1/2 is 30 minutes of an hour
1/2, 1 is one hour
that is 60 minutes divided by
2 which is also the same as 60/2
and 60 divided by 2 is 30 so i got
30 minutes (the half of an hour)

1/6 is about 10 minutes of an hour. 60 divided 6 is equal to 10 minutes and 1/6 is also equal to 10/60. 10 minutes, the numerator, 60 minutes, the denominator

1/4+7/12

1/4 means a quarter of something so 1/4 of 60 minutes is 15 minutes (1/4*60) or 60 divided by 4 is 15

7/12 is about 35 minutes of an hour. we can count the lines in the circumference of the of the circle, its 12, so we can get the amount of the fraction easily and we just need to count seven lines and then we stop because the denominator is 12

this sites might help:
http://www.webmath.com/k8cf.html

=================================================

7/28 + 6/24 ___ 1/3 + 5/6

7/28 can be reduced to 1/4 same as 6/24, so the equation will be easier to understand. it is 1/4 + 1/4 = 1/2 or 30 minutes. 1/3 in a different equation is also 20 minutes of an hour + 5/6 = 50 minutes out of 60. so now we have all the information so 1/4 + 1/4 = 1/2 __ 1/3+5/6 = 7/6. 1/2 is 30minutes plus 7/6 is 1 hr. and 10 mins so 5/6 + 1/3 is totally bigger

### KevinT's first Growing Post

Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12 ?

Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12?
1/2 = 30mins (60 ÷ 2 = 30)
1/6 = 10mins (60 ÷ 6 = 10)
30 + 10 = 40mins

1/4 = 15mins (60 ÷ 4 = 15)
7/12 = 35mins (60 ÷ 12 = 5 x 7 = 35)
35 + 15 = 50mins

1/4 + 7/12 is bigger than 1/2 + 1/6.

KevinT and Jan's Bikerace

6. Good way to learn fractions

http://www.funbrain.com/fractop/index.html

7. I found the answers for the bikerace by using the clock method because in one hour there is 60 minutes and in the race there is 60 km

8. To get 1/4 and 3/4 of 16, is to divid 4 and multiply it by 3 and another way is 16 divided by 3 multiplied by 4.

9. Which set of fractions is larger 1/2+5/12 or 1/4+2/6?

1/2+5/12 is larger !

SELF EVALUATION
Title 1/1
Label 1/1
Question 3 4/5
Question 4/5 2/3
Question 6 4/5
Question 7 3/3
Question 8 3/5
Question 9 5/5
Question 10 7/7

Total: 30/35

### Kevin Y's First Growing Post

Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12 ?

1/2 of 60 minutes = 30 minutes and 1/6 of 60 minutes = 10 minutes. So if you add those together it = 40 minutes.

1/4 of 60 minutes = 15 minutes and 7/12 of 60 minutes = 35 minutes. So if you add them together you get 50 minutes.

1/4 + 7/12 is LARGER!

Kevin Y and Marc 's Bike Race

6. heres a cool link http://pbskids.org/cyberchase/games/equivalentfractions/index.html
7. for twelve six and three i used the clock method because the race is 60 km and i just divided twelve by sixty and same with all the others.
8. N divided by 4 multiplied by 3, another way is N divided by 3 multiplied by 4.

9. What set of fractions are bigger 1/2 + 1/4 or 1/3 + 1/4?

1/2 + 1/4 is LARGER!

My Mark

- title 1/1
- label 1/1
- Question 3 - 4/5
- Question 4&5 - 2/3
- Question 6 - 5/5
- Question 7 - 2/3
- Question 8 - 4/5
- Question 9 - 4/5
- Question 10 - 7/7
total : 30/35

### CARL's growing post,fractions

href="http://2.bp.blogspot.com/_FPIxwMDdwmg/Rxv22hduUNI/AAAAAAAAAAM/WIoXyY9fEuY/s1600-h/project.JPG">
Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12.

explanation:

1/2 is equal to 30minutes.
1/6 is equal to 10 minutes.

1/4 is equal to 15 minutes.
7/12 is equal to 35 minutes.
40<50 href="http://4.bp.blogspot.com/_FPIxwMDdwmg/Rxv4VBduUOI/AAAAAAAAAAU/svgZk5prFJ0/s1600-h/a.JPG">

Carl & kadille's bike race ....

I calculated the Km positions at a twelfth, sixth and a third by dividing it to 60.

example:

60/12 equals 5,then we draw a line on every
fifth end of the line.

its the same as the other numbers.

60/6 equals 10
60/3 equals 20

the patterns are:
5+5 equals 10+5 equals 15.....
if its 10, 10+10 equals 20+10 equals 30.....
if its 20,20+20 equals 40....

http://www.funbrain.com/cgi-bin/fob.cgi
it talks about equivalents-the fractions that don't have the same number but have the same value.if you get it right you get a slice of pie.

MY MARK IS
Title1 1 /1
Label 1/1
Question 3:4 /5
Question 4:4/5 2/3
Question 6:4 /5
Question 7: 3/3
Question 8: 4/5
Question 9: 4/5
Question 10: 6/7
33/35

### Ivanne's First Growing Post

What set of fractions is larger, 1/2+1/6 or 1/4+7/12?

Explanation:
1/2 + 1/6
1/2 of 60 minutes is 30 minutes...
1/6 of 60 minutes is 10 minutes...
So, 30+10 = 40 minutes...

1/4 + 7/12
1/4 of 60 minutes is 15 minutes...
7/12 of 60 minutes is 35 minutes because 60/12 = 5...5x7 = 35...
So, 15+35 = 50 minutes...
1/4 + 7/12 is larger!!!

Ivanne and Alexandra's Bikerace...

6.) You can learn many things about fractions in this site...try it!
Fraction Game

7.) Alexandra and I divided 60 by 12, 6, and 3 to know how many stations are there.
60/12 = 5 ... So there are 5 km markers for every 12th of the way in 60 kms.
60/ 6 = 10 ... So there are 10 km markers for every 6th of the way in 60 kms.
60/3 = 20 ... So there are 20 km markers in every 3rd of the way in 60 kms.
60 is divisible by 12, 6, and 3...

8.) One way to get a quarter of 16, 1/4 x 16...
Another way...ge the 3/4 of 16...the half of 16 is 8...the quarter of 16 is 4...So, 8+4 is 12...12 is the 3/4 of 16...

9.) 3/6 + 2/10 and 2/3 + 1/6...which is larger?

3/6 of 60 minutes is 30 minutes...2/10 of 60 minutes is 12 minutes...So, 30+12=42...

2/3 of 60 minutes is 40 minutes...1/6 of 60 minutes is 10 minutes...So, 40+10=50...

2/3 + 1/6 is larger...

My Score:
Title = 1/1
Label = 1/1
Question 3 = 5/5
Question 4/5 = 2/3
Question 6 = 3/5
Question 7 = 1/3
Question 8 = 3/5
Question 9 = 3/5
Question 10 = 6/7

TOTAL = 25/35

### Angelo's First Growing Post

1/4 + 7/12 is bigger!

(1/2 = 30 minutes, 1/6 = 10 minutes) 1/2 and 1/6 equals 40 minutes. The fraction would be 40/60, if you reduce it, it would be 2/3. 2/3 equals 66 percent.

(1/4 = 15 minutes, 7/12 = 35 minutes)1/4 and 7/12 equals 50 minutes. The fraction would be 50/60, if you reduce it, it would be 5/6.5/6 equals 83 percent.

I couldn't find my bike race so I used this one .
I calculated the Km positions of twelfth, sixth, and third by using a clock. I thought " how much does 12, 6, and 3 go into 60." 12 goes into 60, 5 times. 6 goes into 60, 10 times. 3 goes into 60, 20 times. 5, 10 and 20 are equivalent to eachother. So in the bikerace map some of the KM positions were in the same box.

To get a quarter of 16 you have to cut it in half and in half again.16-8-4. Four will be the answer. Another way is 16 divided by four.
To get 3/4 of 16, 8 + 4. 8 is 1/2 of 16, and 4 is 1/4 of 16. The answer is 12.
Another way is, since a quarter of 16 is 4 and you want to get 3/4. Just multiply 4 by 3.

Make A Match- The theme is like a wizard game. There is bottles on shelves. Some of the bottles have number fractions, some have picture fractions.You have to click on one bottle, it will go down on a table, then you have to click the matching picture. If it's right the bottles will disappear.This site is very good. It deals with number fractions and picture fractions. The beginning will be pretty easy. As you move along to the next levels, there will be more bottles and harder fractions. The more challenging, the more you learn.

self evaluation

title: 1/1
label: 1/1
question 3: 4/5
question 4&5: 2/3
question 6: 5/5
question 7: 2/3
question 8: 5/5
question 9: 5/5
question 10:

### Jenna's first growing post

Which set of fractions is larger 1/2 + 1/6 or 1/4 + 7/12 ?

1/2 + 1/6 = 40/60 or 4/6
1/2 = 60 / 2 = 30
1/6 = 60 / 6 = 10
30+10 = 40

1/4 + 7/12 = 50/60 or 5/6
1/4 = 60 / 4 = 15
7/12 = 60 / 12 = 5 x 7 = 35
15+35= 50

1/2 + 1/6 < 1/4 + 7/12

Jenna and Anne's bikerace

Anne and I calculated the Km positions at a twelfth, sixth and a third by counting. We counted by 3's until we got to 60. Then we counted by 6ths then 12ths, But we did it wrong.

2 different ways to find a quarter and 3/4 of a number is division and cutting in half.

DIVISION

to find 1/4 of 22 you have to divide 22 by 4, which equals 5.5 . So 1/4 of 22= 5.5 , To find 3/4 of 22 you have to divide 22 by 4 again but this time multiply it by 3 and it equals 16.5

CUTTING IN HALF

to find 1/4 of 22 you cut it in half 2 times. So half of 22 is 11 and half of 11 is 5.5 , To find 3/4 of 22 you have to cut it in half 2 times again then just multiply by 3

FRACTION GAME

On this website there are two games . They are both about comparing fractions. The first game is a dolphin race. You have to chose the largest fraction to win. The second game is ordering fractions . You have to put the fractions in order from largest to smallest. I think this game is helpful because it teaches you which fractions are bigger.

My Fraction Question: which is larger? 2/4+3/6 or 1/3+6/12