Finding "B"

FINDING B
FINDING B
FINDING B
FINDING B
FINDING B
FINDING B
FINDING B


SINCE ADDING SIDE A AND SIDE B GIVES YOU SIDE C, TAKE AWAY SIDE A FROM SIDE C TO GET SIDE B

OR

C² - A² = B²

WITH THAT YOU CAN THIS:

C² - A² = B²...FORMULA
10² - 6² = B²...REPLACE A & C
(10X10) - (6X6) = B²...SQUARE A & C
100 - 36 = B²
64 = B²...SUBTRACT

YOU ARE NOT DONE YET. YOU FIVE B², YOU ARE LOOKING FOR B. YOU STILL HAVE TO FIND THE SQUARE ROOT OF YOUR ANSWER TO FIND B.

THE SQUARE ROOT OF 64 IS 8 (8X8=64).

B = 8

Proper Fractions

Proper Fractions

Definition : A proper fraction is a fraction with a smaller numerator then denominator.

Names used in fractions:

numerator - is the number to the left of the line. In the fraction 7/8 the numerator is 7.

denominator - is the number to the right of the line. In the fraction 7/8 the denominator is 8.

Proportional Fractions - At the beginning of this page we defined the word fraction as a portion of the whole. We have shown that there is more than one way to write the portion that is half of the pizza. One half can be written as 4/8, 2/4 or 1/2. We say that these equivalent fractions are proportional fractions because they are the same portion of the pizza. Here are some different examples of proportional fractions using the integer bars. All of them are equivalent.

Thanks to for helping me finish this post:

http://images.google.ca/imgres?imgurl=http://www.arcytech.org/java/integers/images/ex53.gif&imgrefurl=http://www.arcytech.org/java/integers/fractions.html&h=81&w=119&sz=2&hl=en&start=31&tbnid=QFvu2J3bkTahbM:&tbnh=60&tbnw=88&prev=/images%3Fq%3DProper%2BFraction%26start%3D20%26gbv%3D2%26ndsp%3D20%26svnum%3D10%26hl%3Den%26sa%3DN

Francis scribe post

1. If 6 pounds of apples cost $9, then how much would 21 pounds of apples cost?
2. If $24 worth of fertilizer covers 5,000 square feet, then how much would it cost to cover 30,000 square feet?


3. If a chain link fence costs $180 for 20 feet installed, how much would it cost to install 300 feet?
4. The scale on a map is 1 inch equals 5 feet. What is the distance between two points on the map that are 8 1/2 inches apart on the map?
5. A $4 sales tax is charged for a $50 purchase. At this rate, what is the sales tax for a $1200 purchase?

amalia's 5 questions

Today in class Mr. H gave the class a sheet of paper with 20 math problems. Frances and i had volunteerd to do at least 5 different problems.


question 7.
David read 40 pages of a book in 50 minutes. How many pages should he be able to read in 80 minutes?
Well the answer i got and solved it goes like this, So what i did was that I had divided 50
pages 40 x 80 / 40 = 1.25 x 80 = 100.
_____ = / _______
minutes 50 100


Questoin 17.
If three apples cost 29cents , how much do 45 apples cost?

Well i solved the way i had answer goe like this. How i got this answer is by dividing 29/3=
9.6 x 45 = 4.35
apples 3 45
_____ = _______ So i think that the apples would cost
cost 29 4.35 $4.35.


Question 16.
If it takes 1 cup of flower to make 6 cookies, how much many cookies can you make with 6cups of flower?
cups Cookies I' m not so sue how to do this but i think it's
__________
1 6 kind of right. there's 36 cookies and 6 cups.
36 6



Question 8.
Audio Jeannie tajes inventory of her closet and discovers that she has 8 shirts for ever pair of jeans. If she has 4 shirts how many pairs of jeans does she have?

shirts 8 4
______ =____ = ___ This is the answer that i got.
Jeans 5 20

Scribe Post

Today in class, we got 10 x 10 Grids and 3 big pieces of paper and we folded the 3 big pieces into three "hot dog" folds.

then we connected them to each other, and then we cut out 24 square pieces of grid paper and glued them onto the three pieces of paper.

First we glued 1 square box to the piece of paper on wrote 100% , then we glued another piece onto the the paper and wrote 1%, then we glued two boxes as 150% and glued one as 1/4 or 0.25%.

then we glued another piece to to the second sheet and wrote down:

under neath the box.

100 divided by 100 = 1

100 or infinte 100 = 1%

100 equal groups = 1%

then in the second box we put down:

500 divided by 100 = 5 or 1%

1/500 = 5/500

then in the next side we put down:

100 divided by 10 = 10%

10 or infinte 100 = 10%

10 equal groups = 10%

then in the second box we put down:

500 divided by 10 = 50 or 10%

10% = 50

1 x 10% = 10%

1 x 50 = 50%

1/10 = 10/100 = 50/500

Then we had to that for 5% , 12% , 86% , 20% , 70% and 5%

The next scibe will be Jon

Wesley's Scribepost

Today in class the first thing we did was look over Abduls Growing Post.

Then we went over yesterday's homework which was Find 3 different ways to show
35% of 80
60% of 180
90% of 150

Notes
1/100 means divided by 100 or 100 equals groups or 1%



<- 50% is 1/2 of 100. Any number divided by 2 is 50% 10% =10/100 or 10 out of 100 =1/10 or 1 part out of 10 10% is making 10 equal groups or dividing by 10




25%

25 out of 100
25/100 ---> simplifies to1/4







25% = 20 (80 divide 4)
10%= 8 (80 divided 10
35 28
















In class work/homework
find 3 different ways to find, show on grid paper
35% of 120
55% of 90
40% of 25
65% of 180
15% of 40

The next scribe wil be Chris

Thanks to Allan, Matt, Grand Master Flash, Kim, Kim tan Vo

Myrh Rynn's Scribe Post Dec.7, 2006

Today in class we went over last nights homework

what is:
40% of 60 60\100=0.6*45=27 45\100=0.45*60=27
21% of 78 78\100=0.78*21=16.38 21\100=0.21*78=16.38
35% of 18 18\100=0.18*35=6.3 35\100=0.35*18=6.3
91% of 210 210\100=2.1*91=191.1 91\100=0.91*210=191.1
55% of 370 370\100=3.7*55=203.5 55\100=3.7*370=203.5
12% of 125 125\100=1.25*12=15 12\100=0.12*125=15
70% of 256 256\100=2.56*70=170.2 70\100=0.7*256=170.2

Mr.H told us to find 30% of 70 three different ways:

30\100=o.3*70=21

70\100=0.7*30=21

30/100 -->0.3/1*70=21

10/100=1/10=7/70

10%=7
10%=7
10%=7
----------
30%=21


For homework, we have to find three different ways to show

35% of 80
80\100=0.8*35=28
35\100=o.35*80=28
35/100=0.35/1*80=28

60% of 180
60\100=0.6*180=108
180\100=1.8*60=108
60/100=0.6/1*180=108

90% of 150
90\100=0.9*150=135
150\100=1.5*90=135
90/100=0.9/1*150=135




THE NEXT SCRIBE FOR Dec.8 is WESLEY!

Well this is my scribe .. i hope you like it XD

Sydney's Scribe Post December 6th 2006

Today in class we went over yesterdays homework which was.....

400 and 162
we had to figure out the percents out of 400 and 162.

The numbers were :

1%= 400\100*1=4
5%= 400\100*5= 20
10%
30%
65%
75%
You divide 400 by 100, then multiply the asnwer by the percent.

Mr.H gave us a question...

What does 40% mean?
we came up with....-40/100
-2/5 is 40%
-part of a whole
and some more ...

then he told us to write down
When you are finding out a % you are just making happy numbers out of 100 is easier to compare then out of 62.5 :)!

then we did the following ....

------ ------
100 400

1% 1/100 ---------> 4/400
5% 5/100 --------> 20/400
10% 10/100 -------> 40/400
30% 30/100 ------> 120/400
65% 65/100 ------->160/400
75% 75/100 ------->220/400

Then he said " what is 45% of 60?"

this is how we did it ..

60\100-0.6*45=27
35% 45\100*60=27

part - 45% ?
-------- = -----
whole - 100 60 <--- 60\100*45
0.6
-------
1
45 45 0.45
----- = ----- ------ = ------ <---- decimal
100 60 100 1



Another question was 32% of 87?
(32 is bad) (87 is good)

32% ?
----- = -----
100 87
Y
87\100=0.87

Our homework questions were what is...


45% of 60?

21% of 78?

35% of 18?

91% of 210?

55% of 370?

12% of 125?

70% of 256?


and that's what we did in class , i hope you like it :)

MYRH-RYNN WILL BE THE NEXT SCRIBE FOR DECEMBER 7th :)

( some of the things that i did with fractions and stuff didnt really work out , so if you just move then to the side a bit when you are reading this then it will make sense ... sorry:( )

Scribe Post For December 4th

December 4th


First thing we did was convert 0.65 and 5:2 (Five to two.) The answers were 65%, 65/100, 65:35 (100 - 65), 5/7, 0.714, and 71.4%


Yesterday we had made a list of all the things we knew about Percents. But first we had to figure out how to make this shape larger or smaller. This was homework due on the 5th.
>


We also made a web on what we knew about percents. It had to include pictorial items, numbers, words, and symbols, for symbols you'd obviously put %. Here are some examples:
If you cannot read those words get some binoculars! (I dare you to click this.)

If you'd like to see some more things about percents check out: http://en.wikipedia.org/wiki/Percentage


Mr. Harbeck gave use some questions:

What does 50% mean to you?
What does 25% mean to you?
What does 10% mean to you?

Everyone answered indiviudally and a few people were picked, from Mr.Harbeck's card deck with our names, to give some answers. The only wrong answer is no answer!

Homework was to find 1%
10%
25%
75% and
15% of 85 and 300.

Scribe {Josh}

Today in class we had three things to do.

1. Make a T-chart for all of those numbers we converted for the number line.

2. Fix our number line.

3. The homework that was on the overhead.


For the T-chart {Assignment 2}

On the left side you put whatever you converted your numbers to {for the giant number line}. So if you converted all of them into percents that is what you would put on the left side. It's the same for fractions, decimals, and ratios.

On the right side you put the raw value. It's what the number was before you converted it.


What you had to do on the number line was to put markers.

If you did it in percent you would do 10% 20% etc. Same for fractions and ratios. Then put your numbers in between them.

This is the homework:

Equivalent Assignment 3

1. Convert the following percents into decimals, fractions and ratios. Then put them on a number line.

35.5% 12.6%1.67% 93.6% 48%2.

Convert the following decimals into percents, fractions and ratios. Then put them on a number line.

0.23 0.906 0.078 0.65 0.10643.

Convert the following ratios into fractions, decimals, and percents. Then put them in a number line.

1:7 4:5 9:56 7:3 10:14.

Convert the following fractions to decimals, percents and ratios. Then put them on a number line.

8/9 4/7 12/17 3/8 8/21

Personal reflection.

What is the easiest conversion for you to do in this equivalent unit? Why?

What is the hardest conversion to do in this unit. Why? What makes this conversion hard for you?

Choose 3 values to convert to practice what you find difficult. Practice makes perfect.

The next scribe will be: Allan

April's scribe

APRIL'S SCRIBE POST
for november 22/06

Yesterday in class we did an Equivalents assignment on a big piece of graph paper. We had to place the following values below on a numberline with a group.


In my group (Me, April P. Josh and Jesse.) we converted the values into percents. We then put those percents also showing our work in numerical order from smallest to largest with its equivalent value. We then put the values on the numberline in numerical order, like we had on our seperate piece of paper.

Converting the values to percents.
50% ---- already a percent
3/4 ---- 3/4 - 3 divide 4= 0.75 x 100 = 75%
2:3 ---- 2:3=N/D - N=2 - D=2+3 = 2/5 - 2 divide 5= 0.4 x 100 = 40%
5/6 ---- 5/6 - 5 divide 6 = 0.83 x 100 = 83%
37.5% ---- already a percent
o.7 ---- 0.7 x 100 = 70%
9/10 ---- 9/10 - 9 divide 10 =0.9 x 100 = 90%
7:5 ---- 7:5=N/D - N=7 - D=7+5 = 7/12 - 7 divide 12 =0.58 x 100 = 58%
95.8% ---- already a percent
0.08 ---- 0.08 x 100 = 8%
17/40 ---- 17/40 - 17 divide 40 = 0.42 x 100 = 42%
0.484 ---- 0.484 x 100 = 48.4%
0.82 ---- 0.82 x 100 = 82%
17/200 ---- 17/200 - 17 divide 200 = 0.085 x 100 = 8.5%
80:30 ---- 80:30=N/D - N=80 - D=80+30 =80/110 - 80 divide 110 = 0.72 x 100 = 72% 29/47 ---- 29/47 - 29 divide 47 = 0.61 x 100 = 61%
66:34 ---- 66:34=N/D - N=66 - D=66+34 = 66/100 - 66 divide 100=0.66 x 100= 66%
80/108 ---- 80/108 - 80 divide 108 = 0.74 x 100= 74%
77:44 ---- 77:44=N/D - N=77 - D=77+44 = 77/121 - 77 divide 121 = 0.63 x 100 = 63%
18/92 ---- 18/92 - 18 divide 92 =0.19 x 100 = 19%

Values in Numerical Order
0.08, 17/200, 18/92, 37.5%, 2:3, 17/40, 0.484, 50%, 7:5, 29/47, 77:44, 66:34, 0.7, 80:30, 80/108, 3/4, 0.82, 5/6, 9/10, 95.8%

- note to mr harbec. the numberline wouldn't upload properly so i cant put it on the post =S
k i guess i'm done now.. so yeah.. the next scribe is....
JOSH S!
I think i spelled his last name wrong, but oh well

VANESSA'S SCRIBE

Today we spent most of the class writing this in our math notebooks:

FRACTIONS
Converting Fractions to Decimals
Divide the numerator by the denominator to get the decimal.
N/D=decimal
e.g.
¾ → 3 / 4 = 0.75

Converting Fractions to Percents
There are two possible ways:
Multiply the numerator by 100 and divide it by the denominator.
N x 100 / D = Percent
e.g.
¾ → 3 x 100 = 300
300 / 4 = 75%
OR
Divide the numerator by the denominator and multiply by 100.
N / D x 100 = Percent
e.g.
¾ → 3 / 4 = 0.75
0.75 x 100 = 75%

Converting Fractions to Ratios
Part 1 : Part 2
Part 1 is the numerator.
Part 2 is the numerator subtracted from the denominator.
N : D-N
e.g.
¾ → 3 : 1

DECIMALS
Converting Decimals to Fractions
Say the decimal then write it.
e.g.
0.42 (forty-two hundredths)
42/100

Converting Decimals to Percents
Multiply the decimal by 100
e.g.
0.42 x 100 = 42%

Converting Decimals to Ratios
Convert the decimal to a fraction first.
e.g.
0.42 → 42/100
Part 1 in the ratio is the numerator.
Part 2 in the ratio is the numerator subtracted from the denominator.
N/D → N : D - N
e.g.
0.42 → 42/100
42 : 58
.........^100 - 42 = 58

PERCENTAGES
Converting Percents to Decimals
Divide the percent by 100.
% / 100
e.g.
57% / 100 = 0.57

Converting Percents to Fractions
The percent is already out of 100, so the denominator will be 100.
The actual percent is the numerator.
e.g.
57% → 57/100

Converting Percents to Ratios
Part 1 is the actual percent
Part 2 is 100 subtracted by the percent
................(100 - % )
e.g.
57% → 57 : 43
......................^ 100 - 57 = 43

RATIOS
Converting Ratios to Fractions
Part 1 + Part 2 = denominator
Part 1 = numerator
e.g.
7 : 3 → 7/10

Converting Ratios to Decimals
First convert the ratio to a fraction.
e.g.
7 : 3 → 7/10
Numerator is 7 because its Part 1. Denominator is 10 because part 1 + part = 10 ( 7 + 3 = 10 )
Then divide the numerator by the denominator to get the decimal
N / D = Decimal
e.g.
7 / 10 = 0.7

Converting Ratios to Percents
First convert the ratio to a fraction.
e.g.
7 : 3 → 7/10
Numerator is 7 because its Part 1. Denominator is 10 because part 1 + part 2= 10 ( 7 + 3 = 10 )
Then divide the numerator by the denominator to get the decimal
N / D = Decimal
Next multiply the decimal by 100 to get the percent
Decimal x 100 = percent
e.g.
7 / 10 = 0.7
0.7 x 100 = 70%

After you've finished copying the above information into your notebook, you need to write it again in the big paper, in rows 4 and 5.

Then we spent the last 15 minutes working on " Equivalents the Assignments. "

HOMEWORK
"Equivalents the Assignment"
4 questions, Mr. Harbeck already posted it (scroll down to last post)

Stuff we did so far and need to be completed (portfolio):
1. Equivalent Chart
2. Big Paper
3. Quiz
4. Equivalent Assignment

NEXT SCRIBE : April T

NOV 20 SCRIBE (PEE)

Today in math class, Mr. Harbeck gave us our third quiz. This quiz was based on our knowledge towards fractions.

Quiz 3


What do you know about 5/7?
- numerator is 5 (part)
- denominator is 7 (whole)
- proper fraction
- less than 1

You were then going to convert that fraction (5/7) into a decimal, fraction, percent, and ratio - as shown in the 5 colomns below:


You convert 5/7 to a decimal by dividing 5 by 7. This gives you the answer 0.714. The fraction stays the same. You get the percentage by multiplying the decimal by 100, giving you 71.4%. The ratio is 5:2 because 5 and 2 are the two parts that give you the whole number/denominator, which is 7.

What do you know about 3/2?
- numerator is 3 (part)
- denominator is 2 (whole)
- improper fraction
- greater than 1

The last question was similar to the second question on the quiz. It also asked you to convert the fraction (3/2) to a decimal, fraction, percent, and ratio:


Convert 3/2 to a decimal by dividing 3 by 2 = 1.5. The fraction stays the same. 150% is the answer because you multiply the decimal by 100. There is no ratio because it does not have the two parts. It needs to have a part and a part to make a part of a whole.

Definitions
Fraction - A number that is less than one. The numerator is the part. The denominator is the whole.
Decimal - Represents as part of a whole number using tenths, hundredths, etc.
Percent - An equivalent fraction out of a hundred.
Ratio - Shows the relationship between part to part that when added gives you part to whole.

Yeah, I'm done now (: By the way, this took me FOREVER because of some technical difficulties with google and stuff. So sorry if it's posted this late !

NEXT SCRIBE IS VANESSA LY (:

Scribe

On Friday's class Mr. Hanley was talking about Fractions, Percentages, and Decimals. The class gave Mr.Hanley some definition's for the following Fractions, Percentages, and Decimals

Fraction
-Numerator is Part of something 1<-(part) /2 <-(whole) * -Denominator is a whole * Percentage
-Represents a # out of a hundred* example: 25% out of 100%
Decimal
-can convert to a %, square over square, or A:B
-it is a remainder
-Part of a whole*
-Express as 10th, 100th, 1000th, etc.*

Homework- is make definitions for the ones that have *'s beside them.

The next scribe is going to be April.p

Qtypie's Scribe

Today we had a quiz.

Today Mr. Hanley was talking to us about ratios.

Difference between Fractions and Ratios

Fraction

4/13

4-Numerator->how many parts

13-Denominator->total number of parts

Ratio

4:9

4-part

9-part

Fractions and Ratios are 2 different things

A Fraction has a part and a whole

A Ratio has a part and a part

Ratio to Fraction

How to get a ratio from a fractions is you add the two parts together you get a whole. Thats the denominator. To get the numerator is you get the first number in front of the ratio

ex.4:9 denominator 4+9=13 numerator 4 =4/13

Fraction to Ratio

How to get a the ratio is you have to get the first number. you get it fromt he numerator. you subtract the denominator from the numerator which gives you second number

ex.4/13 first number- 4 second number- 4-13=9= 4:9

Here is and example that Mr. Hanley gave to us

if you have 12 pieces of fruit, 5 apples and 7 bananas.

What is the fraction the represents Apples.

What is the ratio of apples to bananas 5/12 5-number of apples 12-total numbers of fruit

5:7

5-apples

7-bananas

Another Example
4/11 4:7

7 number of oranges

4 number of white sticks

Class work
today in class these were the questions
change to a fraction
5:12
6:4
3:1
12:2

answers
5/17
6/10
3/4
12/14

homework
What you know about....
Fractions
Decimals
%'s
Ratios

the next scribe will be jesse

Kimmie's scribe =)

Today in math class Mr.H gave us a work sheet.
<-----

First Mr.H gave us a bag of papers that had pics of fraction, fractions, decimals, and percents. And we had to put them in order. As it is shown. After we had show it to Mr.H or Mr.Hanly. Then we had to write and draw the things on the paper. Then we had to explain our reasoning (across and down) as to why we put the symbols where we did. We had to do this in the justify row and the justify column. As it is shown in the picture. And don't forget to give this assignment a name. After we were done we had to take notes.

The notes:
Ratios tell how one number is related to another number. A ratio may be written as A:B or phrase "A to B." A ratio of 1:5 says that the second number is five times as large as the first. The following steps will allow determination of a number and teh ratio between the number is given.

Example: Determine the value of B if A=16 and the ratio of A:B = 2:5.

-Determine how many times the variable divisible by the corresponding portion of ratio (6/2=3).
-Multiply this number by the portion of the ratio representing b (3*5=15).
-Therefore if the ratio is A:b is 2:5, A=6 then B=15.


Homework:
If you didn't hand in the square roots sheets,tests with corrections, and the pink paper then hand it tomorrow.
On the sheet of paper that Mr.H gave us. Add in a row going down on ratios.

The Next scribe will be Matthew Q.

My Scribe Post

Today we learned to estimate using fractions.

Make a fraction out of this


To find the whole number you would look for how many squares are the same on each side. To get the denominator you would have to count the next set of squares. You would count all the squares until you get to a perfect square. To get the numerator you would have to label all the squares.


whole number
numerator
denominator

(e.g)

1/1=1 1 1/3 1 2/3 1 3/3 2 1/5 2 2/5 2 3/5 2 4/5 5/5=3

Homework

What is the recipe?

bake the

The next scribe will be Timmy

Chenda's scribe post

amalia couldn't log in or something so im the scribe for today

Today in class we got back our cumulative test all we had to do with it was either correct it with someone or if you got 10/10 .You just created your own question that is similar from the 1st or 2nd question that was on the test for ten minutes.

After we were done that we had to cut out our perfect square things that we did on that graph paper and glue it to a white piece of paper that got handed out to us. It looks like this unless mines wrong all i didnt do was put the square root and i think you need it ?.

pictures might be blurry because i used a camera phone .

Then next we did a question on the overhead . i think it was that. Well we used our square root chart that we made in class.. We had to find the square root without using a calculator. first you check what factors are inbetween 779 and that would be 27x27=729 and 28x28=784. and then you do something else, the answer would be 27. something because you dont actually know what the decimal is.

Next we saw what our homework was and its due tomorrow when we have math heres the questions. You have to find the square root for each one and solve the word problem thing.

The next scribe would be Maryrose.

Scribe

Today in class we found out how to get a square root on our calculator.To do that you have to press the number that you want to find out the square root of and then press the button that looks like a check then equall it.

After that we had to make a PERFECT square from using blocks from 1-16.

The next scribe is Amalia.

Rainer's Scribe Post

first thing today is the homework (6,8,9,10 -perfect square?).

• - 6 is not a perfect square
• - 8 is not a perfect square
• - 9 is a perfect square with equal sides (3x3)
• - 10 is not a perfect square

a perfect square is any square that has the same length on all sides.


************************************************************

1. with 6 tiles what is the biggest square you can make?

remember a square must have all sides the same length.



= 2x2

= 4

2. now make the smallest square.

= 1x1

= 1

you can also make perfect squares with any number of tiles.

1. -make a the biggest square you can
2. -cut the other extra squares in thin pieces
3. -add them to two sides like an L in the square

ex.

to figure out the exact size of the side length of the square you must square(umm check mark sign in a calculator) the area.






homework:D

draw PERFECT SQUARES using 6,8,9,10,12,14&17 tiles.
do it in your notebook or in the graph paper.






NEXT SCRIBE IS FRANCIS CHOO