Math 816 (2007)

Kiahna's Scribe Post

2008-05-14T16:06:00.002-05:00

Algebra Problem Solving!!
1. Mr. Enigma said, five less then one fourth of my age is 12 how old is Mr. Enigma?
Mr Enigma is 68 years old. Let x=his age
we are going to make x=1 becasue you can do that. they answer is

x/4-5=12
+5 +5
(4)x/4 17(4)
x= 68

2. Suppose you have $40 and you earn $7 per hour. How many hours must you work untill you have $131?
You would have to 28 work hours
7x+40=131
-40 -40
7x/7 91/7
x=28

3. Valley video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the store. How many movies did she rent?
She rented 99 movies?
3x+15=99
-15 -15
3x/3 84/3
x=28

5.Suppose you are salesperson for Quark Compuer Company. Each month you earn $500 plus one sixth of your sales. What amount must you sell this month to earn $3000?
The amount he would have to sell was 15000.
x/6+500=3000
-500 -500
(6) x/6 2,500(6)
x= 15,000
6. For lunch Dregg had a hamburger and potato chips. The hamburger had 325 calories and each chip had 12 calories. If the meal had 541 calories, how many chips did Dregg eat?
He ate 18 chips.
12x+325=541
-325 325
12x/12 216/12
x=18

Robby's Scribe

2008-05-13T19:18:00.003-05:00

Today in class, we got this algebra work sheet. So, I'll do some of the questions on the number-answer sheet, not geometry side.

Question 1:

The second of two numbers is 4 times the first. Their sum is 50. Find the numbers.

Ok, so, to answer this question, we have to find out which is the variable and have it equal 50. It also says "sum", so there is going to be addition in this question.
To find the variable, you have to read the sentence and find out what part of the question isn't told. But first, write the simple-sentence answer, which is just the answer in a sentence. You write this out first, then come back to it once u find the numbers.

10 40
The numbers are ____ and ____. (You can also write this at the end of the equation, which is what I'm going to do just to make it make more sense.)

"The second of two numbers"
This means that, in the equation, the second number will NOT be the variable, because if u read on..."is 4 times the first". This means it will be 4x, not just x, which is what we need.
So the first number will be x.
Remember, you have to have the "Let X = blahblah" somewhere in that equation, or u lose marks.

Moving on, 4x would be on the right side of the + sign, because it is the second number. The first number is x.
So the equation would look like this:
Let x = First number
x + 4x = 50 (what we have so far)
5x = 50 (combined like terms)
-- ---
5 5
x = 10
The answer to this question would be 10, 40.

SUBSTITUTE TO CHECK (this is to make sure you have the right answer)
x + 4x = 50 (must write formula)
10 + 4(10) = 50
10 + 40 = 50
50 = 50

x = 10
4x = 40 (this is very important too, before you write your answer into the sentence, you have to write out what the variable and term stand for in numbers, like above. Now you see why its easier to write the sentence at the bottom)

If the answer on the left side equals the right side (50 = 50), that means the number works.

Question 2:

(I will now be writing all the answers out with some info in brackets, if you don't get it, go back to Question 1: and read on how to get it.)

The larger of two numbers is 12 more than the smaller. Their sum is 84. Find the numbers.

"Larger of two numbers is 12 more than smaller"

The two other numbers would equal x, because nothing is told about them.

Let x = Smaller Number 1, Smaller number 2.

x + 12 + x + x = 84
3x + 12 = 84 (combined like terms)
-12 -12
3x = 72
-- ---
3 3
x = 24

Substitute to Check:

x + 12 + x + x = 84
3(24) + 12= 84
72 + 12 = 84
84 = 84

x+12 = 36
x = 24
x = 24

36 24 24
The numbers are ____, ____, and ____.

The answer would be 36, 48 [because 36 is 24 + 12 and 48 is 24 + 24 (2 x 24)]

Question 4:

The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.

"second of two numbers"
So the second number would be the term (number with the x or a or whatever letter next to it)
and the first number would be the variable.

Let x = First Number

"5 more than twice the first"
2x + 5
"sum is 80"
= 80
Now put it al together...

x + 2x + 5 = 80
3x + 5 = 80
- 5 -5
3x = 75
-- ---
3 3

x = 25

Substitute to Check:

x + 2x + 5 = 80
3(25) + 5 = 80
75 + 5 = 80
80 = 80

2x+5 = 55
x = 25
25 55
The numbers are _____, and _____.
25, 55.

Question 6:

Find two numbers whose sum is 92, if the first is 4 more than 7 times the second. Find the First number.

"Two numbers whose sum is 92, if the first is 4 more than 7 times the second"
so the second number is x, because it doesn't mention anything about it.

Let x = Second Number

(7x + 4) + x = 92 (brackets there to make it look simpler)
8x + 4 = 92 (combined like terms)
- 4 -4
8x = 88
-- --
8 8
x = 11

Substitute to check:

(7x + 4) + x = 92
8(11) + 4 = 92
88 + 4 = 92
92 = 92

x = 11
7x + 4 = 81

The first number is 11.

Question 8:

Together, a necklace and a bracelet cost $192. Find the price of each if the necklace costs 3 times as much as the bracelet.

"if the necklace costs 3 times as much as the bracelet"

This means the bracelet is x.
Let x = bracelet

3x = Necklace

3x + x = 192
4x = 192
-- ----
4 4
x = $48 ($48.00)

Substitute to check:

3x + x = 192
4(48) = 192
192 = 192

(now to find the price of a necklace and bracelet separately)

3x = 3(48)
= 144
x = 48

$144.00
+$48.00
--------
$192.00

The price of a bracelet is $48.00 and the necklace is $144.00.

Romulo's Scribepost

2008-05-13T18:35:00.006-05:00

SCRIBE POST

So today in math we first went over this math sheet we had for homework called 7.3 Solving Geometric Problems. This took up about 45 minutes of the class and for the rest of the class we had time to do some of our homework which I'm scribing today.

Since no one has scribed anything about Algebra problem solving I'll post the 6 steps.

1. Simple Sentence Answer
2. Unit Values
3. In A Geometry Question DRAW THE SHAPE
4. Whatever You Know Nothing About Is The Variable
5. Identify Your Variable
6. The Other Unknown Relates To The Variable

Those are the 6 steps for sucess.

Here's an example on how you solve an Algerbra problem solving question.
The question is "A farmer uses 54 metres of fencing to enclose a rectanguler field. If the width is two metres less than the length, find the dimensions of the field.

1. Simple Sentence Answer

For the simple sentence answer all you need is 3 words. Those 3 words are
The, are and whatever the question is asking you to find. So in this case your looking for the dimensions. So your simple sentence answer would be

The dimensions are _________ and _________

2. Unit Values

Unit values simply ask you to put whatever value you're working with in your simple sentence answer. So since we're working with metres you put "m" in your sentence. So it should now look like

The dimensions are _________m and _________m

3. In A Geometry Question DRAW THE SHAPE

This one pretty self explanitory

4. Whatever You Know Nothing About Is The Variable

For this one your variable(x or n or whatever you want) is the thing you have no clue about. So your first need to figure out who the playaz are. So the playaz are length, width and the perimeter. We know already know that the perimeter is 54 metres so it can't be the variable. We also know that the width is 2 metres less than the length so that leaves us with length which we know nothing about. So length is the variable.

length= variable

5. Identify Your Variable

I don't really understand this step but I think this is the one were we have to remember to put let x= length somewhere or we lose a half a mark. So add
x= length

6. The Other Unknown Relates To The Variable

I dont really understand this one but I think it means if you have two unknowns they relate to the variable.

After all 6 of those steps you can finally start doing your work.
So all that was just an explanation on the steps. Now to get to the point of this scribepost. So the side I'm doing is the geometry side. The side that has the title
What's the Quickest Way for an Ant to Go From the Ground to the Tree Trunk

Questions

1. The length of a rectangle is 3 times the width. The perimeter is 96 cm. Find the width and length.

2. The length of a rectangle us 5m greater than the width. The perimeter is 150m. Find the width and length

Jonah's Scribe

2008-05-07T22:11:00.004-05:00

Today in class...

We went over the homework to see if we had any questions about it and solved it together. Then we learned how to solve a 2 Step Equation. Here are the steps:
1. Isolate the variable
2. cancel the constant (integer) using its composite to make zero pairs.
3. Balance
3a. cancel variable to (1.)
4. Substitute to check.

Here is an example:

But, we didn't just learn how to show in that way. We also were shown how to show it by using Algetiles. Here is the example used in class:

That is how we use Algetiles to show 2 Step Equations! That is all we did in class. don't forget to do the homework we got.

Jordan's Scribe Post

2008-05-06T18:41:00.011-05:00

First, we started with 3 patterns:Then we had to find the next 2 patterns, which were:
Then we had to make a T-Chart for the patterns we found...
the numbers in the "y" row start at 1 and go up by 2 each time..

the numbers in the "x" row start at 0 and go up by 1 each time..

to get "y," you have to multiply "x" by 2, then add 1

Algebraic expression: y = 2n+1

We started off with 3 different patterns this time... The 5 pictures looked like this:
(btw, the vertical lines through the strings are the cuts)
Followed by the T-Chart:
We found that the "y" row started @ 1 then increased by 3 each time
We found that the "x" row started @ 0 then increased by 1 each time
You have to multiply "x" by 3 then add 1 to get "y"
Algebraic Expression: y = (3n)+1

THE END.

Marina's 2nd Scribe Post

2008-05-05T21:42:00.005-05:00

My Scribe

Okay today in class, I volunteered to do a scribe post. I made a little slideshow on voicethread, i dont really know if i did it right so yeah...
P.s. I did this all on piant,so it ,might be messy.. didnt take me very long.

-marina☺☻○•

Robby's Scribe

2008-05-05T17:33:00.010-05:00

Collecting Like Terms
Like terms are Terms that have the same Variables next to them. Variables are letters that stand for unknown or given numbers. Like terms are 2 or more terms that can be combined to simplify the equation. Lets look at an example:

This right now is an algebraic math sentence. In algebra, you don't always have to find an answer to the question, that is, if you aren't told what the variable stands for. This is one of those occasions.
In algebra, you don't use all the operators you would use for non-algebraic equations. Like, for example, times (x). Because times has a operator that looks like a variable, it gets confusing (Like so: Variable x X x = x ...no it's not what you were thinking). So they removed it (they being those math geniuses that invented algebra). Instead of writing 5 x (x+2), you remove the x and assume its multiplication. And when multiplying a number with a variable, you write them next to each other (5x). This becomes a Term.
Back to the math sentence in blue above. An easy way when multiplying things in brackets and theres a variable in there is to multiply the outside number with the variable. So it would look something like this:

Like I said before, when multiplying a number with a variable, you put the variable on the right side of the number and it becomes a term. So 5x means Five groups of variable x.
The next part of the question is the +2. You would read this as positive two, because in algebra, you deal with integer numbers a lot. Now you have to multiply it with 5 now, because its still in the brackets, and if there's no operator between the brackets and number on the outside, you assume its multiplication.

Now, we multiply the 5 with the 2. 5 x 2 = 10 (note, I used the x symbol for multiplying because we aren't multiplying the terms, and this equation won't go in the final answer, only the 10 will)
The math sentence now looks like this:

This is a proper algebraic sentence. The terms should always be on the left side, and the non-terms, or integers, on the right. Now to to show you how to write this question using algebra tiles. But first, look at the different kind of shapes used to represent the parts of a algebraic-math sentence.

Now that we know what shapes I'll be using mean, on with the algebra-sentence. I'll simply show what the simplified answer to the algebra sentence near the middle of my scribe-post looks like with algebra tiles...

=

David's Scribepost

2008-05-02T05:23:00.009-05:00

Algebra Tiles

Algebra tiles are ways of showing algebra. The big sqares are the variable (n, x) squared, the long rectangles are the variable, and the little squares are the integer or the constant, it's just the number. There are two sides to Algebra Tiles, a white side, and a colored side, the white side means its a positive number, the colored side means its a negative number. So if your question is 3n+6 and you wanted to draw it out using Algebra Tiles, then it would look like this...

Theres something else that comes into effect when we do this, and its Zero Pairs. Zero pairs are when you have a positive and a negative, and they cancel eachother out.

It's like you owe money if there's a negative, and the positvive is how much money you have. Thats just one good way to try and understand intergers.

Afrer that we just did a bunch of questions and figured them out using algebra tiles, one of them would be 2n-6+4n-2+6-n. So how would you draw that out? Now if you can't tell where to start and which sign belongs to what, then try making the catapiller, start at the first number / opperation and circle to the next one.

Now thats nice but we want to group them.

We can get rid of some by finding zero pairs!

and we're left with 5n-2

And thats how you use Algebra tiles. We had homework too, 3 pages of it.

^ ^ On this one you only need to do up to question 18...^^

Good luck finnishing! I'm sure there's going to be more work.

Nathaniel's Scribe Post

2008-05-01T22:56:00.007-05:00

Patterns 2!!

Mr. Jerema gave us two charts the other day. We had to make a chart and a ratio table, describe the patterns in each row, describe the relationship between the two columns, make an algebraic equation to show that relationship, then find out what the 20th, 35th, and 99th diagram would be.

This is the first chart he gave us.

We had to make that into a chart.. like so

and into a ratio table..

3. Describe the patterns found in each row.
Well you can see that x, starts at 1 and goes up by 1, and y, starts at 1 and goes up by 2.

4. Describe the relationship between the two columns.
If you have the years over 10, and lets say you have 2. You would have to multiply it by two and subtract one to get y, since this works for all the years over 10.

C. Write and algebraic equation to show this relationship.
y=2x-1 x = years over 10

5. Predict what the 20th, 35th, and 99th diagram will look like.
We use the algebraic expression here, and having 20, 35, and 99 the years over 10.

note:re write the expression and fill it in.

20th
- 2x-1
- 2(20)-1
- 39

35th
- 2x-1
- 2(35)-1
- 69

99th
- 2x-1
- 2(99)-1
- 197

Now back to number one since instead of drawing the next two patterns, he said to find out the number of repairs for 7 and 8 years over 10.

7th
- 2x-1
- 2(7)-1
- 13

8th
- 2x-1
- 2(8)-1
- 15

And were done the car repairs! Onto Harbecks Training.

Then we had to make a chart, and a ratio table out of it..

3. Describe the pattern found in each row.
As you can see, x starts at one and increases by one each time, and y starts at 3, then adds 5, 7, 9 and adding so on by odd numbers.

4. Describe the relationship between the two columns.
If you have the number of weeks, to get the number of km's ran in total, you would have to multiply the number of weeks by itself, and subtract one to get the number of km's ran in total.

c. Write an algebraic equation to show this relationship.
y=x squared - 1 x=number of weeks

5. Predict what the 20th, 35th, and 99th diagram will look like.

20th
- xsquared-1
- 20squared-1
- 399

35th
- xsquared-1
- 35squared-1
- 1225

99th
- xsquared-1
- 99squared-1
- 9801

Then back to number one to find out what the 7th and 8th diagram will look like.

7th
- xsquared-1
- 7squared-1
- 48

8th
- xsquared-1
- 8squared-1
- 63

and your done!

Angel's Scribe

2008-05-01T19:10:00.008-05:00

Algebra Test #1

For the first part of the test we had to write the following expressions in words..

3x+8 : Three times a number and eight
7x+5x : Seven times a number and five times a number
5(x+8) : Five times the sum of a number and eight
8-3x : Eight decreased three times a number

For the bottom of the first part of the test we had to write the following statements as algebraic expressions..

5. 9 centimeters less than three fourts of length x : 3/4x-9
6. Seven decreased by four times a number : 7-4n
7. 9 less than 3 times a number : 9-3x 8. four more than eight times a number : 8x+4

For the second part of the test we had to make a t-chart, graph and figure out the algebraic equation for the following problem ..
This is my T-chartThe patter : x = Figure number, Starting with one going up by one.
y = Number of tiles, starting with four and adding three each time.

Here is my Graph

How to get the answer

x=Figure number
y=Number of tiles
The algebraic equation is 3x+7

Vicky's Third Scribe

2008-05-01T16:15:00.004-05:00

Today in class, I volunteered to do a scribe post for this month on algebra test number 2.

This is what the Algebra Test 2 looks like.

Algebra Test 2

Write the following expressions in words.
1. 2x-9 = two times a number decreased by (less, reduce, take away, etc.) nine.

2. 10-4x = ten decreased by (reduce, and decreased ONLY) four times a number.

3. 5 (x-8) = a number less (decreased, take away, etc.) than eight times five.

4. 7(x+5) = a number plus (increased, and, sum of, etc.) five times seven

Write the following statements as algebraic expressions

5. 6 centimeters more than two thirds of lenth x = 2/3 n + 6cm

6. three times the sum of a number and two = 3 (n+2)

7. nine decreased by two times a number = 9-2n

8. four less than five times a number = 5n-4

The following graph shows the first four terms of a pattern.

A) Create a chart that shows the first 10 terms of the pattern.

B) Write the algebraic expression for the relationship between the hours spent walking and the number of kilometers walked.

4n - 1

y is km walked

x is hours

C) Using your algebraic expression, determine how far they could walk after 50 hours.

4n-1

4 x 50 huors - 1 = 199 km

Done!~ Teehee!~

Vicky's Bob

2008-04-26T22:16:00.000-05:00

What I Know About Rectangular Prisms

Rectangular Prism, also known as Cuboid (the shape), is a solid 3D (3-dimensional) object which has six faces, Top, Bottom, Left, Right, Front and Back. Each opposite faces of a rectangular prism are equal, for example Top is equal to Bottom, Left Side is equal to Right Side, and Front is equal to Back.

A Net is a disasemble box, or an open box. Its very usefull when you want to find the area of each faces.

This is an old voice thread that I have used on my second scribe post. Yes, I have finally changed it to public, sorry for the technical difficulties~. Teeehheeee.

How to find the volume of a rectangular prism.

emilyr's bob

2008-04-24T17:56:00.003-05:00

What I Know About Rectangular Prisms ;
A rectangular prism is a 3d object that has length, width and height.

When its flattened it is called a Net. A net is just how you look at the prism when you open it all up. The net helps you get the surface area.

l= length
h= height
w= width

To get the surface area you can find the area of all the parts (top, bottom, front, back, left side and r side) then add them all up. The easier way is to use formulas.
The formula for top and bottom is: LxWx2.
The formula for front and back is: LxHx2.
The formula for the two sides is: WxHx2.

After you find the area for those you add them all after. After you add them you have you're surface area. The surface area is usually cm² or something².

Another thing I learned was to get the volume. The volume for formula is LxWxH or BxH. The B stands for Base and the H stands for Height.

The volume is usually something³
For examples look at my scribe post

Angel's Scribe Post

2008-04-16T22:43:00.009-05:00

Cylinders and Circles

Today in class we learned about the circles and its radius, diametre, and circumferance. Later on during class we also learned how to find the area of a cylinder.

All about the radius and diameter : In class we were told that radius is the distance from the centre of the circle to the edge and you can get it by dividing the diameter because the diameter is double the distance of a radius going from one edge of the circle to the other. The formula to get the diameter : d=2r. meaning the diameter = 2x the radius.

The circumference : The circumference is the distance around a circle. You can get this by 2Pi r (2 x pi x r) pi 2r or pi x diameter.

Cylinder : In class we learned how to make a net of a cylinder.
>PLEASE DO NOT DRAW A PEN15<
also make sure that the circles are the same size.

L = Circumference
W = Height

FORMULA
A = Pi R2 C = Pi D
A = 3.14 x 5cm2 C = 3.14 x ??cm
A = 3.14 x ??cm C = 3.14
A = ??cm2

Total surface Area : ??cm2+??cm2+??cm2 = ??cm2

Nathaniel's BOB

2008-04-15T22:47:00.006-05:00

What do I know about Rectangular Prisms?

I have learned about length, width and height of a rectangular prism.
I have also learned that you can open it up to make it flat. It is called a net! Each side still is the length, width, and height.
l=length
h=height
w=width

To find the surface area you have to add up all the sides squared.
If you had a 2x2x3 prism, you would have to multiply..

LxHx2
LxWx2
HxWx2

LxHx2 is the front and back of the prism.
LxWx2 is the top and the bottom of the prism
HxWx2 is the left side and right side of the prism.

After you add it up you should have the surface area.
To find the Volume of a rectangular prism, you can just do Length x Width x Height!
Volume is how many cubed (insert measurement here example cm) can fit inside the prism.

If the length = 2cm
width = 2cm
height = 3cm

You would do 2cm x 2cm x 3cm to get the volume
The volume would be 12cm cubed.

Ps: hooray 200th post!

Jonah's bob

2008-04-15T19:19:00.004-05:00

What I know and learned about rectangular prisms:
We learned about getting the Surface Area and Volume of rectangular prisms. But the step we always do is making a Net.
Surface Area:
There is a lot of work to do before you can actually find out the surface area. You have to find out the area of each of the shapes. The top, front, and the left side. You only need to find out only one of each shape because each one has a pair. The right and left sides, the front and back, and the top and bottom.

The formula for figuring out the top and bottom is LxW (length x width). Since you only need to find out one of each shape all you have to do is then multiply it by 2. So it would be lxwx2 to equal the answer with a exponent of 2 (squared). E.g 3cm x 2cm x 2 = 12 2 cm.

The formula for figuring out the sides is HxW (height x width). Again, since you only need to find out only one side all you have to do is multiply it by 2. So then it would be hxwx2 to equal the answer with an exponent of 2 (squared). E.g 6cm x 2cm x 2 = 24 2 cm.

The formula for figuring out the area for the front and back is HxL (height x length). Since you only have to find out one of the shapes all you have to do is multiply the first answer by 2. So then it would be hxlx2 to equal the answer with an exponent of 2 (squared). E.g 6cm x 3cm x 2 = 36 2 cm.

Then you add all the numbers to together to get the total surface area. The exponent for surface area is always 2.

Volume:
Figuring out the volume for a rectangular prism is some what harder that find the surface area. But in some ways it is easier because you are only figuring out what is the number of the inside of the shape. There are two formulas of finding the volume.

Area of the base x Width is one of the formulas. First you find out the measurement of the base. Then you multiply that by the width because that is how many base numbers you have. E.g Base number = 15 cm 2 and the width = 3 cm. So it would be 15 cm 2 x 3 cm= 45 cm 3.

The second formula is LxHxW (length x height x width). You first find out the measurement of the length, width, and the height. Once you do then you multiply them all together. E.g L = 5 cm
H = 10 cm W= 3cm. 5cm x 10 cm x 3 cm = 150 cm 3.

The exponent for volume is always 3.

Kierra's BOB

2008-04-15T19:15:00.005-05:00

Everything I Know

About Rectangular Prisms:

In class we learned how to find the surface area/ volume/ & net of squares and rectangular prisms.

Net:

A net is a picture of a 3 dimensional object flattened out so you are able to view all sides n one dimension.

E.G:

The yellow shaded parts in the picture reps. the sides of the rectangle. The black shaded parts represent the top and bottom of the object and the blue shaded areas rep. the back and front. These colors also rep. that they are the same measurements. (e.g the yellow shaded areas are both 5 cm ) this will help you to find the surface area and volume later on.

Surface Area:

To find the surface area of a rectangular prism if you find the area of each side on the net all you would have to do is add up each side and get the surface area of a rectangular prism.

E.G:

( 8 + 8 + 12 + 12 +10 + 10= 60 cm (squared) )

Volume:

When finding the volume of a rectangular prism all you have to do is : [ Length X Width X Height ] measurements.

E.G:

As you can see all of these problems are easy to solve when you ahve a net and the measurements of the object.

Romulo's BOB

2008-04-15T16:59:00.009-05:00

What I've Learned About Rectangular Prisms/Cubes

What a Rectangular Prism Is

A rectangular prism is a 3D(Three Dimensional)object that has sides called Height, Length, Width and it looks something like the picture below.

A rectangular prism has 6 faces and those faces are called Top, Bottom, Front, Back, Left Side and Right Side. We can see all 6 faces when we make a diagram called the Net. The Net is just a diagram showing what the rectangular prism would look like if you opened it up and flattened it out. The Net on the left shows all 6 faces and which ones they are and the Net on the right shows what each side is(Height,Length,Width). The Net helps you find the surface area of the prism.

What a Cube is

A cube is basically the same thing as a rectangular prism but the Height, Length and Width are all equal.

Just like the rectangular prism the cube also has 6 faces. The nets are also similar but the only difference is the sides in the cube are all equal. The net of the cube also helps you find the surface area.

How To Find The Surface Area of a Rectangular Prism/Cube

One way of finding the surface area is to divide them into groups and find their areas separately then add them all together. The groups you divide them into are Front/Back, Top/Bottom and Sides(L Side and R Side) because they are both equal and it makes life easier. There are different formulas for each group.

The formula for finding Front/Back is
Area=2(Height X Length) or A=2(H X L)

The formula for finding Top/Bottom is
Area= 2(Width X Length) or A=2 (W X L)

The formula for finding Sides is
Area= 2(Width X Height) or A=2 (W X H)

The 2 is there because after you're done answereing the brackets you multiply what you got in the brackets by 2.
After you find those you add them all up to get the surface area.

The other way to find surface area is to add all the sides up, but that way takes too long.

How To Find The Volume of a Rectangular Prism/Cube

To find the volume you can use the formula Length X Width X Height. The formula says it all so i don't think I need to explain it.

The other formula is Base X Height. The Base is usually either the Top or Bottom. This formula is also simple so I won't explain it.

Solving The Surface Area and the Volume of a Rectangular Prism/Cube

Davids BOB

2008-04-14T23:04:00.005-05:00

What I have learned/know about rectangular prisms.

Rectangular prisms are 3 dimensional shapes, and in class we've learned how to find certain things about the rectangular prism. First of all, theres something called the Net, which is just like what the prism would look like if you made it flat.

The next thing would be the measurements of the prism, if you look at the net, you can use that to figure out what the length, width, and height of the prism is. You could switch those numbers around though, because any side of the prism could be the bottom or the base because if you were going to cut it it would be the same on each side. So for our prism lets say we have a length of 8cm, width of 5cm, and a hieght of 2cm.

We can use those measurements now to figure out the surface area of the prism, so how many square cm are in that net. Its kind of broken up into pieces, but the face of the prism thats on the opposite side will always be the same if we're dealing with rectangles and...stuff. First we would want to figure out how large the top, bottom, left side, right side, front and back are. Height x Length is how you would get the front or the back, you would have to multiply your answer by 2 to get the area of both the front and the back. Height x Width is how you get the right/left sides, also multiple by 2 to get the area of both sides. Length x Width, this is how you would find the area for the top or bottom, again, multiply by 2 to get the area for both, if it was a square then all of the sides would be the same so if you found one out you know the rest. When we've figured out the are of each face on the rectangular prism, we need to add them up to get the surface area of the whole prism. We could add each little thing up, or we can do something like this, 2(hxl)+ 2(hxw)+ 2(lxw)=Surface Area

So with our rectangle, the surface area would be something like this:

2cm x 8cm = 16cm x2 = 32cm squared

2cm x 5cm = 10cm x2 = 20cm squared

8cm x 5cm = 40cm x2 = 80cm squared

32cm2 +20cm2 +80cm2= 132cm2

Thats only one way of doing this, and its pretty simple too because we found the area for all the sides before we added them up.

We also learned how to find the volume!

There are two ways we could figure out the volume, one was multiply all of the measurments of a rectangular prism. By that I mean Length x Width x Height, not the cm squared but how many cm it was on the side of the rectangular prism. If the prism had a 8cm length, 5cm width, and a 2cm height, then we could do 8cm x 5cm x 2cm = 80cm cubed (we use a little 3 to represent cubed and we use it to know we're talking about something in 3 dimensions).

You could do the same thing with a cube except you would have different numbers for the length, width, and height. Another thing we could do is Base x Height, your base is usualy the width x length. This solution is a little different though, you can represent it in a different way. But you would find out what the base is first, so usuing the cube again, it would have a base of 40cm squared, multiplying that by the height (2cm) would get us our volume of 80cm cubed. It would look something like this if you wanted to draw it out.

Chantel's bob

2008-04-14T21:39:00.004-05:00

How to find the area of a rectangular prism.

1st: find the area of the top and the area of the bottom. LxW.
2nd: find the area of the front and back. HxL=
3rd: find the area of the left side and right side. HxW=

Ex. if H=11
L=5
W=2

F&&B;; 11x5+11x5= 110cm2
LS&&RS;; 11x2+11x2= 44 cm2
T&&B;; 5x2+5x2=20cm2

Then add the answers together.
100cm2+ 44cm2 + 20cm2
= 174cm2

Find the volume of the rectangular prism:

for this you just go length x width x height

Ex.
H= 5cm
L= 3cm
W= 2cm

5 x 3 x 2= 30cm2

That's all
``CHANNY

Megan's bob

2008-04-14T21:34:00.010-05:00

We learned how to find the surface area of a rectangular prism and this is how:

First you need to make a net which is a rectangle that is flatten out where you'd be able to see all of the sides, like this.

The colours represents which are the same which is found across from each other.

(Eg. Red is the same as the Red across from it.)

Now measure each side to find how many centimetres that part has. You can just measure one part of each colour since they're all the same. Measure for Height, Length and Width. Once you get the measurements, multiply by 2 to represent the second part of that colour. (Since their are 2 colours that are the same for the same parts.)

Next add everything together to get the surface area!

Volume of Rectangular Prism

Finding the volume is really not such a big deal! Actually, all you have to do is take the measurements of the Length, Width, and Height and multiply them together! Easy right?

Same goes for when you're trying to solve a cube!

Make a net like you did on the rectangular prism!

Finding the surface area of a cube is really easy!! A piece of cake and I'll show you how!

A cube has all of the sides equal which means you just have to measure one side and that measurement goes for the Length, Width, and even Height!

VOLUME!

Same goes for volume! It's just like how we did with the rectangular prism.

Hope you guys find this understandable! (especially the colour thingy part! XP)

~megan

Derrick's Bob

2008-04-14T20:59:00.014-05:00

to find the surface area you will need:

Area of top and bottom : 2(L x W)

Area of front and back : 2(H x L)

Area of both sides : 2(H x W)

Surface Area = 2(L x W) + 2(H x L) + 2(H x W)

A net will help you find the
height, length, and width of the
Prism easily.

example of how it should look:

to find the volume of this cube you will have to follow this simple step:

L x W x H -
5cm² x 5cm² x 5cm²=
125cm² = volume of the cube

Another step you can try is base times height:
( 25cm² ) x 5cm² = 125cm²

vina's bob

2008-04-14T19:47:00.018-05:00

Vina's bob

Surface Area:

To find the surface area of a cube or a rectangular prism you need to add all squares together.

Volume:
To find the volume of a cube or a rectangular prism you need to multiply the length x with x height.

Jordan's BOB

2008-04-14T19:47:00.014-05:00

First you take your rectangular prism and flatten it so you can see all the sides. This is called a net:
Now take the measurements for the height, width and length or each part of the net (top & bottom, left/right side, front & back) and find the area of each. Since the top-bottom, sides and front-back are the same, you only need to measure one part (top, left side and front) then multiply what you get by 2 to represent the bottom, right side and back.

Then you add everything together. There's your surface area. It should look something like this: To find the volume of a rectangular prism, all you need to do is take the length, width and height measurements then multiply them together. Here's an example: Well... I'm done.

Robby's BOB

2008-04-14T18:16:00.007-05:00

For the past 2 weeks, we learned how to find surface area's and volumes of 3-dimensional (3D) objects like rectangular prisms and cubes. Here is how to find the Surface area and Volume of a Rectangular Prism:

Surface Area of a Rectangular Prism

This is a Rectangular Prism. You can see the length, width, and height from any angle, meaning it is a meaning it is a 3D object.

Surface area is "how much wrapping you need to cover the whole object". So, if you were to cover it, you much wrapping would you need in a unit of measurement (not squared).

Our new Rectangular Prism has some measurements attached to it, so we can solve the surface area and Volume.

So:
Length = 6 cm
Width = 10 cm
Height = 6 cm

There is 1 formula for finding surface area:

-It is
(Area of L side + Area of R Side) +
(Area of Top) + Area of Bottom) +
(Area of Front + Area of Back)

One important thing must be done to simplify finding the surface area. You must turn the rectangular prism into its 'Net' form, which is as follows:

Now do the equation (Since L side and R side, and Top and bottom, and Front and back have the same area, simply x2 to use less space.:

Surface Area
=(Area of L side x 2) +
(Area of Top x 2) +
(Area of Front x 2)

=(60cm² x 2) + (36cm² x 2)
+ (60cm² x 2)
=(120cm²) + (72cm²) + (120cm²)

=312cm² is the Surface Area

Now Volume is pretty easy, there are 2 different ways on finding it.
One is : Length x Width x Height
the other one is Area of Base x Height

I'll do both to prove they both work:

The measurements are:
L = 6 cm
W = 10 cm
H = 6 cm

The Formula:
= Length x Width x Height
= 6cm x 10 cm x 6 cm
= 60 cm x 6
= 360 cm³ (note, the answer is CUBED or the power of 3 (³) because you are multiplying 3 dimensions together: length, width, and height)

The Second Formula is Area of Base x Height:
Area of Base = L x W or L x H or W x H
Area of Base = L x W (for now)
Area of Base = 6cm x 10cm
Area of Base = 60cm²

Height = 6cm

60cm² x 6 = 360 cm³

See, the answer is 360cm³ for both, meaning they both work.
The Length x Width x Height one is easier, in my opinion, because it takes less work to do.
And that's how you find the volume and surface area of a Rectangular Prism.

Kiahna's Bob

2008-04-14T17:36:00.005-05:00

Kiahna's Bob

Everything You know about Rectangular Prisms

Surface area of A Rectangular Prism
To figure this out you have to cut the box in half like so!
insert pic

then you have to do a formula for each side!
For the Front and the Back of the Box you have to use this formula Hieght x Length = ??
For the Right side and the Left side of the box you have to use the formula Height x Width = ??
For the bottom and top you have to use the formula Length x Width = ??
then for each of them yuo multiply it by two and that is your answer
Now that we know all of this lets give out the numbers Hieght is 10cm the Length is 5cm and the width is 2 cm.

so lets figure it out

Font and Back side: h x L = 10cm x 5cm x 2 = 100cm
Right and left side: H x W = 10cm x 2cm x 2 = 400cm
Bottom and Top: L x W = 5cm x 2cm x 2 = 100cm

Now you add it all together to get the surface area 50cm+20cm+10cm= 80cm²

BubbleShare: Share photos - Powered by BubbleShare

Volume of a Rectangular prism

to find the volume you have to do length x width x hieght =

or you can do base x hieght =

so the measurments are length 3cm height 5cm width is 1cm

so L x W x H = 15 cm thirds

Danica's bob

2008-04-14T17:05:00.003-05:00

Andrea's BOB

2008-04-14T16:10:00.009-05:00

The Volume of A Rectangular Prism

Volume: the amount of space occupied by an object is called volume.

The volume of a rectangular prism can be found by the formula:

VOLUME = LENGTH x WIDTH x HEIGHT

HEIGHT= 35 cm(3)
LENGTH= 13 cm(3)
WIDTH= 44 cm(3)

All you need to do multiply 35 cm² x 13 cm² x 44 cm²= The Volume.

V= 20020 cm²(3)

ANOTHER WAY TO FIND VOLUME:

To find volume you can use the formula:

BASE X HEIGHT

The base of the prism is a triangle, so we need to find the area of the triangle.

Area of the triangle = 1/2 x 8 x 4 = 16 cm(3)
The height of the prism is 12 cm(3).
Volume of the prism = A x H = 16 x 12 = 192cm(3)

THE SURFACE AREA:

How to find the surface area?

Every net conatins a top, bottom, front, back, and a right, and left side.

H= 30 cm(3)
L= 20 cm(3)
W=10 cm (3)

What is the surface area?

Top & Bottom= 2 (lxw)

Front & Back=2 (hxl)

Right Side & Left Side= 2 (hxw)

To get the measurments for each part of the net you need to follow steps above in brackets and multiply your answer by 2.

Top & Bottom=400cm(3)

Front & Back=1200cm(3)

Right Side & Left Side=600cm(3)

Now add all of your answers together to get the surface area:

400 cm(3) + 1200 cm(3) + 600 cm(3) = 2200 cm(3)

David's Scribepost

2008-04-13T13:39:00.011-05:00

On April 10th 2008, we learned how to get the Volume of a cube or rectangular prism.

We found the volume of the cubes / rectangular prisms that we had as our nets on the pink sheet. We're suposed to have this done and so we can hand it in on Friday, April 11th.

So what we did was cut out the shapes of the nets we made, but then this time instead of glueing it flat on the paper, we made an extra flap so we could tape it together, and turn it into a cube that we could fold up or down when we needed to.

Now that, that was done, we did the actual work to figure out what the volume is.

There are two ways we could figure out the volume, one was multiply all of the measurments of the cube or rectangular prism. By that I mean Length x Width x Height, not the cm squared but how many cm it was on the side of the cube or rectangular prism. If the cube had a 3cm length, 3cm width, and a 3cm height, then we could do 3cm x 3cm x 3cm = 27cm cubed (we use a little 3 to represent cubed and we use it to know we're talking about something in 3 dimensions).

You could do the same thing with a rectangular prism except you would have different numbers for the legnth, width, and height. Another thing we could do is Base x Height, your base is usualy the width x length. This solution is a little different though, you can represent it in a different way. But you would find out what the base is first, so usuing the cube again, it would have a base of 9cm squared, multiplying that by the height (3cm) would get us our volume of 27cm cubed. It would look something like this if you wanted to draw it out.

The pink sheets are due so I hope you get all of this on your sheets!

Hope you Finnish....

danica's scribe

2008-04-10T17:30:00.003-05:00

This is the first solution on how to find the volume of a cube

This is the second solution

emilyr's scribe/.

2008-04-08T19:09:00.015-05:00

Today in class we did an activity where we made nets for shapes we got out of a bucket. We made the nets on grid paper so we could show the square centimeters and it was labeled too. We then cut them out an pasted them on our notebooks. We were supposed to solve all the shapes but we didn't have enough time. .

Tasha's Scribe Post

2008-04-08T19:09:00.014-05:00

Today in class, our job was to to make "nets" for 3D shapes. We drew the nets on grid paper so the shapes can be accurate in square centimeters, we also had to label them. After we cut them out we glued them in out math notebook to solve.

Below are few of the shapes I did:

Homework

Finish colour-coding shapes, and label them. Put them in your math notebook.

( counts as marks :] )

Vicky's Scribe Post

2008-04-07T22:36:00.012-05:00

Today in class we learned how to find the surface area of a Rectangular Prism by adding all 6 sides, left, right, top, bottom, front and back.

This is a picture of a Rectangular Prism

Net - A disassemble box, or unfolded box.

*Note

Net is 2D

Rectangular is 3D

Pythagoras growing post

2008-03-28T13:42:00.002-05:00

pythagorean triple
A pythagorean triple is 2 perfect square numbers when added together, equals another perfect square. You can use it to see if a triangle has a right angle. Use this formula: A2+b2=c2.
you can also use this perfect square chart to find out the squares in between

Angel's Pythagoras Growing Post

2008-03-26T18:18:00.006-05:00

The Pythagorean Triple A Pythagorean triple is when you add 2 perfect squares together to get another perfect square. The formula for this is a² + b² = c².

To find out the squares in between you may also use a Perfect Square Chart :

A Pythagorean Triple is made up of perfect squares, another Pythagorean triple besides 3,4,and 5 is 6,8, and 10. Six squared is 36 Plus 64 from 8 squared equals 100 which is the square root of 10.

PART 2

PART 3 Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

Worksheet A:
You’re locked out of your house and the only open window is on the 2nd floor 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?

PART 4

Bobby is trying to climb a mountain. It is said that the mountain stretches 2miles on all sides, the signs that tell you where to go to climb the mountain are 4 feet wide and 2 feet tall. The highest point of the mountain is 6miles upward. How many miles does bobby have to climb to reach the top?

Chris`s Pythagoras Growing Post

2008-03-26T09:37:00.007-05:00

Part 1.

The parts with checkmarks are the Pythagorean Triples

Part2

Part3

You're locked out of your house and the only open window is on the second floor, 25ft above the ground. You need to borrow a ladder from one of your neighbours. There's a bush along side the edge of the house, so you'll have to place the ladder 10ft from the house. What length of ladder do you need to reach the window?

1. Window is 25 ft above the ground.
2. Bush is near the edge of the house and you will have to place the ladder 10 ft from the house.
3. Must lean the ladder on an angle to get it to the house.

Part4

a new store called game mart just opened near your house. it is 3km away from your house to ebgames and then another 4km from ebgames to game mart. When you are going home from game mart you found a road leading from it to your house. how far is it from game mart to your house?

emilyr's pythagoras growing post

2008-03-24T19:28:00.007-05:00

1)Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5.

Pythagorean Triple ; is a set of three numbers. that are squared [²] A² and B² are the legs of the triangle and C² is the hypotenuse. A² + B² = C² EXAMPLE ; 3, 4, 5 is a Pythagorean triple.

2)Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse (note: you may use numerical examples ie. a=4 b=6 c=?)

BubbleShare: Share photos - Play some Online Games.

3) Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

Le Frog stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

4) Now that you have seen many Pythagorean problems, create your own word problem.
The king has just grounded the princess and she can't leave the castle. Luckily she has an escape plan with some help from her boyfriend. Her boyfriend is standing outside the castle but is 15 feet meters away because a moat filled with water is in his way. Her boyfriend needs a ladder to reach the 50 foot high castle. Her boyfriend needs to know how long the ladder should be so he can save the princess ?

Jordan's Pythagoras Growing Post

2008-03-24T17:02:00.020-05:00

- by Jordan Pabon 8-16

A pythagorean triple is 2 perfect square numbers when added together, equals another perfect square. You can use it to see if a triangle has a right angle. Use this formula:

you can also use this perfect square chart to find out the squares in between

For example:

Another example would be:

PART 2:

PART3:LEFROG

My own Problem: TIMMY AND THE RED BALL

Robby's Pythagoras Growing Post

2008-03-21T19:09:00.014-05:00

Part 1:
What is a Pythagorean Triple?
-A Pythagorean Triple is 2 square numbers that when added together, equal another square number. The equation for one is:
a² + b² = c²

There are many Pythagorean Triples, but often are confusing to find because when you look at a number squared, like 5², you often ignore or don't see the little ² and end up multiplying by 2 instead of multiplying by 5 again, which is what you should have done. This mistake makes a big difference. 10 is a smaller than 25, and everybody knows that specific math questions have to have an exact answer. A number squared simply means that number times itself. The opposite of squaring is square rooting, which is finding what number times itself equals the larger number.

Anyway, here is my perfect square chart. The highlighted numbers or the ones that are the same color is 1 Pythagorean Triple.

Part 2:

Part 3:

Word Problems:

When reading math related word problems, underline important parts and circle the key numbers. Cross out unnecessary or unimportant information, if there is some:

A pictorial version of this problem would be:

The sides are 90 units because, since the measurements of the sides weren't given, you have to go to common sense for help. A square is 360 degrees, meaning it has 4 right angles (90 x 4 = 360). A triangle is half of a square, so it has 180 degrees (90 x 2 = 180) in angle. But we aren't finding the angle of the sides, but the length. So the degrees sign (°) is replaced with units (or u) in place of a measurement.
The new picture of the problem looks like this:

Now we can simply do the equation a² + b² = c² to solve this:
a² + b² = c²
90²+ 90²= c²
8100+8100=c²
16 200=c²

√16 200 = √c²

127.27= c

So the missing hypotenuse is 127.27 units in length. You have to throw the ball 127.27 units from first base to third base to get throw the runner out.

Part 4:
Create your own problem:

You are racing down the street on your new 10 speed bike. You see a ramp that 2 of your friend are hauling, and you must jump it to prove you aren't a noob. But your stupid friends are hauling it way further than they are supposed to, 3 meters left of you instead of being straight ahead of you. You are 10 meters away now and must swerve to jump the ramp and end up having to jump at an angle. How many meters do you have to swerve to get to that ramp?

Now, with the key parts highlighted:

Now to answer the question:
What we know:
a = 3 meters
b = 10 meters
c = ?

Here's a little doodle I made on how the problem would look.

Now that we have the numbers, we just do the equations and solve it.
a² + b² = c²
3² + 10² = c²
9 + 100 = c²
109 = c²

√109 = √c²
10 9/21 = c

10 9/11 = 10.42
c = 10.42
c²= 109

So, after solving what the missing side was, you now know that you must swerve 10.42 (closest to 10) meters to the left to jump the ramp. Once you do that, and don't break your neighbors car from jumping onto it, you can retire from your career of dare-deviling and get a nice job as a professional lawn mower.

The End (of Part 4 )

Romulo's Scribe Post

2008-03-19T18:47:00.007-05:00

Scribe Post

Today in class we reviewed for our test this upcoming Thursday with 3 questions that Mr. Jerema gave us to do. The questions we did are shown in the pictures below.

Question 1

Question 2

Question 3

Robby's Scribe

2008-03-18T16:47:00.005-05:00

Pythagorean Theorem: Problem A
You are locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?In this picture I made of the problem, the bushes were removed, but we still have to solve the problem.
To find the missing side, you have to run through the Pythagorean Theorem and find out what the missing side is.
a = 25 feet
b = 10 feet
c = ?
a² + b² = c²
25² + 10² = c²
625 + 100 = c²
725 = c²
square root
of 725 = c²
Now we make the fractional then decimal form of the square root of 725.
Since 26 is 1 unit larger than 25, we have to square the number 26 and subtract that number from 725 (725 - 676).
27 x 27 = 729 - we can't use this because its larger than 725
26 x 26 = 676
So, back to the subtraction:
725 - 676 = 49
49 becomes the numerator of the fraction after 26.
To find the denominator, you have to add 26 with the number after it, which is 27
26 + 27 = 53.
The answer to 725 squared = 26 49/53
But we aren't done yet, we have to make it into a decimal form. *opens calculator*
26 49/53 = 26.924
26.924 = C
26.924² = c²
So the missing side length of the picture above is 26.924.

Another way we could have found the fraction after 26 is doing the "mullet" strategy.

D = Denominator of fraction after 26

Andrea's Scribe

2008-03-18T16:38:00.001-05:00

Jonah's Scribe Post

2008-03-17T16:47:00.005-05:00

Today in class we were told to take out a piece of paper and copy what was on the board. It was a picture of a right angle triangle. We were supposed to find out the missing side we had 6 minutes to do it. The triangle looked like this:
We didn't know until the middle of working that what we were doing was a test. When we were done we had to mark it. To get full marks we had to have shown all of our work which included all of these things:

After we did the test we did something else in our blue Pythagoras booklet. We watched a scene of the movie Flushed Away and Mr. Jerema made it into a word problem. He drew a picture of a frog and we had to find out what was the missing side. But instead of looking at a picture we had a word problem. It looked like this:

The word problem was:
Le Frog (the name of the frog) stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly? We used the pythagorean theorem to solve the missing side, since the side that was missing was the hypotenuse.
a + b = c
1.3 (x 1.3) + 1.5 (x 1.5) = c
1.69 + 2.25 = c
c 2 = 3.94
c = 1.98

This is what we did in class. Sorry if I missed something. But I don't think I did. So...don't forget to do your Pythagoras Growing Post if you haven't started it yet.

Kenneth's Pythagoras Growing Post

2008-03-16T22:07:00.013-05:00

Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5. (Note: You need a picture, not simply text.)
The Pythagorean Triple is a triangle that has 3 sides to it with a right angle. The small sides of the triangle are labeled (a and b) legs. The longer side is (c) or the hypotenuse, when you add the squared legs together it will add up to the hypotenuse. In other words as + bs = cs, when you put numbers to replace the letters you will get 3s + 4s = 5s = 9 + 15 = 25. ( the s stands for squared )

Jonah's Pythagoras Growing Post

2008-03-16T20:48:00.013-05:00

Part 1:

Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5.
This a PERFECT SQUARE CHART it will help you to find a Pythagorean Triple:

In a right angle triangle, there are 3 sides. They are A and B (which are legs) and C (which is a hypotenuse). The Pythagorean Theorem states that a + b = c. ( Leg + Leg =Hypotenuse).
Part 2:
Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse.

Part 3:
Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).
First we circle all the numbers in the problem and underline all the important facts. It help us since if we put it all together then it will make more sense, by just picking out what is important. Then we draw a diagram of the question with all the information we gathered in the right places.
Once we have drawn the diagram we can answer the question.

Part 4:
Now that you have seen many Pythagorean problems, create your own word problem.

Tasha's Pythagoras Growing Post

2008-03-16T18:20:00.011-05:00

The Pythagorean Triple

Part 1:
Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5. (Note: You need a picture, not simply text.)

-This perfect square chart can help you find the Pythagorean triple

A Pythagorean Triple is made up of perfect squares, another Pythagorean triple besides 3,4,and 5 is 6,8, and 10. Six squared is 36 Plus 64 from 8 squared equals 100 which is the square root of 10.

Part 2:Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse (note: you may use numerical examples ex. a=4 b=6 c=?)

Find the Missing Leg

BubbleShare: Share photos - Powered by BubbleShare

Find the Missing Hypotenuse

BubbleShare: Share photos - Powered by BubbleShare

Part 3:Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, Le Frog or Bonus Problem).

Le Frog stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

Part 4:Now that you have seen many Pythagorean problems, create your own word problem.

Bob is at Best Buy, and is looking to buy a new flat screen t.v, but he didn't bring the measurements for his t.v stand, so he has to do some math thinking to see if his new t.v will fit. He knows that the TV screen is 15 inches long. If the diagonal measures 20 inches, how long is the width of Bob's TV?

Megan's Pythagoras Growing Post

2008-03-16T17:07:00.011-05:00

"Describe what a pythagorean triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5."

The pythagorean triple shows us that the size of the legs (a & b) of a right angle triangle makes the square of the hypotenuse (c). The hyopotenuse or 'C' is found on the opposite side of the right angle and is the longest side of the triangle. (Which should be easy to spot.)
So basically, this means that the triple/formula for finding 'C' is A2(squared) + B2 = C2. The numbers A and B should be smaller then the number for C. Which means that C should have the largest number. Any numbers can be put for A, B and C as long as the equation works.

This is what a perfect square chart looks like:

( The black 2's stands for squared )

12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100

another example for pythagorean triple only reaching up to 10 is 6,8,10.

BubbleShare: Share photos - Powered by BubbleShare

PART 2!

BubbleShare: Share photos - Find great Clip Art Images.

PART 3

PART 4

MY OWN! XD
HAMTARO!!!!

AND....FINISHED!!

Romulo's Pythagoras Growing Post

2008-03-16T11:08:00.018-05:00

PYTHAGORAS GROWING POST

The Pythagorean Triple

A Pythagorean Triple states that the sum of the squares of the legs (a and b) of a right angle triangle equals the square of the hypotenuse(c). The hypotenuse is the side opposite of the right angle and is the longest side of the triangle. So the triple is basically a2(squared) + b2(squared)= c2(squared). Any numbers can be placed in as a, b or c as long as when it's used the equation is correct and it works. The a, b and c most of the time have to be lowercase. The legs a and b are interchangeable when labelled and either leg can be labelled a or b. If you don't understand what I'm trying to say, the picture below explains what I'm trying to say.

Another Pythagorean Triple besides 3, 4 and 5 that's between 1 to 10 squared is 6, 8 and 10 which you get by multiplying 3, 4 and 5 by 2. It works because.....just look at the picture below.

Part 2

Part 3
See Scribe Post.

Part 4

You are trying to break into your rich neighbours house and you know the door has a anti-theft alarm. The only way in is an open window which is 4.5 feet above the ground. There's a big pool of mud 5 feet away from the house and you know you can jump it but you don't want to risk the chance of getting your new shoes dirty and don't want to go back home and change it because it'll take too much time. You have plenty of stolen ladders but don't know how long your ladder should be. How long should your ladder be to reach the window and not get your feet dirty. Round to the nearest ones place. Please click image if too small

Vina's Scribe

2008-03-16T01:50:00.003-05:00

Today in class we learned how to find the missing leg in a right triangle and we also learned what a hypotenuse is.

Hypotenuse is the c leg of the right triangle and the c square in the Pythagorean Triple

RIGHT TRIANGLE

PYTHAGOREAN TRIPLE

BubbleShare: Share photos - Powered by BubbleShare

We also had a growing post assignment... instructions at www.sargentparkmathzone.blogspot.com

Vicky's Pythagoras Growing Post

2008-03-15T20:17:00.015-05:00

Part 1
Pythagorean Triple:

Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5.

This is a perfect square chart from 1 squared to 10.

The Pythagorean Theorem states that the legs (a and b) and the hypotenuse (c) Also a squared must be the lowest number, and c must be the highest number. A right triangle obey the following relationship----> A2+B2=C2

Two other examples of Pythagorean Triple, using 6, 8, 10.

BubbleShare: Share photos - Play some Online Games.

Part 2
Describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse

Missing Leg

This is what we know
a squared= ? squared
b squared= 32 squared
c squared= 40 squared

The formula is a + b = c
a + 32 squared = 40 squared
a + 1024 = 1600

To get a squared we need to subtract 32 squared (b) from 40 squared (c).

c-b=a
40 squared - 32 squared = a squared
1600 - 1024 = a
a = 576
576 = 24 squared

a squared= ? squared
b squared= 32 squared
c squared= 40 squared

Missing Hypotenuse

This is what we know

a squared = 96 squared

b squared = 128 squared

c squared = ? squared

Formula is a + b = c
96 squared + 128 squared = c squared
9216 + 16384 = c
c = 25600
25600 = 160 squared

a squared = 96 squared
b squared = 128 squared
c squared = 160 squared

Pythagorean Triple Chart

3 squared + 4 squared = 5 squared
6 squared + 8 squared = 10 squared
12 squared + 16 squared = 20 squared
24 squared + 32 squared = 40 squared
48 squared + 64 squared = 80 squared
96 squared + 128 squared = 160 squared
192 squared + 256 squared = 320 squared
384 squared + 512 squared = 640 squared

The pattern is to multiply each term by 2.

Other Pythagorean Triple Chart I have found online

( 3, 4, 5)
( 5, 12, 13)
( 7, 24, 25)
( 8, 15, 17)
( 9, 40, 41)
(11, 60, 61)
(12, 35, 37)
(13, 84, 85)
(16, 63, 65)
(20, 21, 29)
(28, 45, 53)
(33, 56, 65)
(36, 77, 85)
(39, 80, 89)
(48, 55, 73)
(65, 72, 97)

Part 3:Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

First circle all the important numbers, and underline all the important facts, to keep us organize.

Next draw a diagram of the question, and use the information that we've accumulated to label the appropriate areas.

Now use the pythagorean theorem to solve the missing side

The missing side is the hypotenuse.

What we know

a = 1.3m (0.7m - 2m)

b = 1.5m

c = ?m

Here is the pythagorean theorem

a squared + b squared = c squared

1.3m squared + 1.5 squared = c squared

1.69m + 2.25m = c squared

3.94m = c squared

3.94m square root = c squared square root

3.94m square root = c

1.98 = c (use a calculator, square root of 3.94)

a = 1.3m
b = 1.5m
c = 1.98m

Part 4: Now that you have seen many Pythagorean problems, create your own word problem.

Mizz Froggy stands 8.9 m from the wall where a fly is 8 m high. If the frogs tongue comes out of his mouth 10 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

Chantel's Pythagoras Growing Post

2008-03-15T16:17:00.005-05:00

Part 1:
Pythagorean Triple:
The Pythagorean theorem states that the legs (a && b) and the hypotenuse (c) a right triangle obey the following relationship----> A2+B2=C2

Using the perfect square chart you can find Pythagorean Triples.

Number | Square
1- 1
2- 4
3- 9
4- 16
5- 25
6- 36
7- 49
8- 64
9- 81
10- 100

Other Pythagorean Triples:

(5 12 13)
(7 24 25)
(8 15 17)
(9 40 41)
(11 60 61)
(12 35 37)
(13 84 85)
(16 63 65)
(20 21 29)
(28 45 53)
(33 56 65)
(36 77 85)
(39 80 89)
(48 55 73)
(65 72 97 )

Part 2:
Find the missing Leg;;
BubbleShare: Share photos - Play some Online Games.

Find the missing hypotenuse;;
BubbleShare: Share photos - Powered by BubbleShare

Part 2:
Problem B

You've just picked up a ground ball at first base, and you see the other
teams player towards third base. How far do you have to throw the ball
to get it from first base to the third base and throw the runner out?

PICTURE TIME! :D This picture shows the baseball diamond and where we
have to throw the ball!

Math work time:
a2=90 (2)
b2= 90(2)
c2= ??
a2+b2=c2
90(2) + 90(2) = C2
8100+8100= c2
8100+8100=16200
16200= c2

\/c2= \/ 16200 ( \/= square root sign)

c2= 127.28

PART 4:

Word Porblem;;

The letter of the day was L. Everyone in the class had to draw a L on there page.
Majolanoire wanted to know how long is it from the bottom of the L to the top.
The knew that one side of the L was 4cm and the other side was 3 cm.
How is she going to figure out how long it is from the bottom of the L to the top.
help Majolanoire figure it out and explain it the best you can.

Vina's Pythagoras Growing Post

2008-03-15T15:31:00.010-05:00

The Pythagorean Triple

When you add two perfect squares together (a square + b square) you get another perfect square (a square+b square=c square).
The legs or L shape of the right triangle is a and the hypotenuse is c.

Perfect Square Chart

In the perfect square chart 3 squared + 4 squared = 5 squared because... 3 squared in the perfect square chart is 9, 4 squared is 16 and 5 squared is 25. When you add 9 + 16 it equals to 25.
Another one is 6 squared - 36 + 8 squared-64 = 10 squared-100.

BubbleShare: Share photos - Powered by BubbleShare

Emily's Pythagoras Growing Post

2008-03-15T11:20:00.008-05:00

Pythagorean Triple

Part 1.

The Pythagorean Theorem states that the two
legs (a & b) and the hypotenous is (c). The Pythagorean Theorem is - a2 + b2 = c2. The Pythagorean Triple is when you have 2 perfect squares you add the two perfect squares (the legs a & b) together. Then when you add them together you get another perfect square.

a2 + b2 = c2
(a squared + b squared = c squared)

The Perfect Square Chart

This picture shows what the number equals when it is squared, using this perfect square chart.

Part 2. Finding the missing side.

Finding the missing Hypotenuse.

Part 3. Le Frog problem.

Marina's Pythagoras Growing Post

2008-03-14T18:01:00.025-05:00

○☺☺ Pythagorean Triple ☻☺○

Part 1:

The Pythagorean theorem states that the two legs are both ( a & b ) and the hypotenous is ( c ). The pythagorean triple is when you have three oerfect squares and you add two of the perfect squares ( the legs a & b ) together and then when you add them together you get another perfect square.

a squared + b squared = c squared !!

• ○ Perfect Square Chart ○ •

This shows what the number equals when its squared. using perfect squares !

BubbleShare: Share photos - Find great Clip Art Images.
Part 2: Find The Missing Side

Part 3: Le Frog
- Le Frog stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

Part 4: My own math problem with " Pon & Zi "!

Then !?!....

I dont think i did it right though but my anwser was that the ladder needed to be 6.4 metres long so that pon could save zi...!
( maybe i should do another one but better ) ?!?

David's Pythagoras Growing Post

2008-03-14T07:57:00.005-05:00

Part One:

The Pythagorean Triple!?!?
The pythagorean triple is when you have 2 perfect squares equal another perfect square, the formula for this is A squared + B squared = C squared.
A and B are the legs on the triangle like shown in the picture. A and B when added would = the hypotenuse which is C. The first perfect square is 3 squared + 4 squared = 5 squared, its true because 3 squared is 9, 4 squared is 16 and 5 squared is 25, 9 + 16 = 25!
Another pythagorean triple would be 6 squared + 8 squared = 10 squared because those are all perfect squares and 6 squared(36) + 8 squared(64) = 10 squared (100).

This picture probably explained things better than me.
Basically, a squared + b squared = c squared is the formula the triangle follows with a and b as the legs, and c as the hypotenuse. The pythagorean triple is just that and it uses perfect squares so theres no decimals or anything which makes it a lot easier.

Part Two:

Voicethread about finding the missing side. Enjoy!

Part Three:

The question I chose to solve, was the Bonus Question.

BONUS QUESTION

Mr. H. jumped into a canoe on the North bank of a river that is 20m wide. He crossed to the South side. When he got to the other side, he discovered that the current carried him 8 m West. How far did he travel in total?

So I took the information that I needed from the question, and drew a picture so I didn't have to think as much and have a pictorial representation of the question.

Then I listed the information that was given, a=20, b=8, and c=?. After that, I put in the theorem, a squared + b squared = c squared, then filled in what a and b were but left c blank because I don't know what it is yet. I then squared 20 and 8 and made them 400 and 64, then just added. I got 464 from that, and now I need to find the square root of it so I used the "mullet" strategy. With that i got 21 23/43 = c, and then made it into a decimal to the nearest hundredth. So Mr. H traveled 21.53m in total.

Part Four:

The Jump!

Your running down a road one day just having fun, when all of the sudden you get to a hole! The hole is 9 feet long, and you have to jump it because there are wild animals like savage rabbits and crazy pigs coming from behind you! Now the road on the other side of the hole is different, the road is 3 feet higher than the road your on right now with all of the animals coming at you. The hole is 19 feet down and it has a river running through down there and sharks and rocks and...other stuff. How many feet will you jump in total to get to safety on the other side of the road where there are people with big pointy sticks ready to hit something?

Nathaniel's Pythagoras Growing Post

2008-03-14T00:08:00.006-05:00

Third Growing Post!

What Is A Pythagorean Triple?

A Pythagorean Triple is three square numbers in which when two square numbers are added they equal another square number. The formula being Asquared + Bsquared = Csquared. Asquared and Bsquared are the legs of the trianged. Csquared is the hypotenuse.

For example 3squared + 4squared = 5squared. Which equals 9 + 16 = 25

Another Pythagorean Triple is 5squared + 12squared = 13squared. Which equals 25 + 144 = 169

How to find a missing leg/hypotenuse

BubbleShare: Share photos - Find great Clip Art Images.

How to solve a word problem!

Here is a word problem that I will use to help me explain how to solve a word problem.

You picked up a ground ball at first base, and you see the other team's player running towards third base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out.

There was also a picture

The key thing you look for is numbers! They usually are very important. The first thing you should underline is First Base because thats where you are. And then third base you underline because thats where the other person is going to. And the question, you have to find out how far you have to throw the ball. The picture shows that from 1st base to 2nd base is 90 feet, and 2nd base to third base is 90 feet. If you look at it, it is a right triangle! The legs being 90 feet and the hypotenuse being first base to third base! All you have to do is solve for the hypotenuse.

a = 90 feet
b = 90 feet
c = ?

a2 + b2 = c2
90squared + 90squared = c2
8100 + 8100 = c2
16200 = c2
square root of 16200 = c
127.28 = c

My Own Word Problem!

Stretch Armstrong sees a little boy crying because his ball got stuck on the roof, so he decides to help get the ball down. He is 10 feet from the wall, and the roof is 40 feet high, how far does Stretch Armstrong have to stretch his arm to reach the ball if his arm is 20 feet high.

Derrick's Pythagoras Growing Post

2008-03-13T22:12:00.028-05:00

- Pythagorean Triple ?
- Three numbers a, b, and c that satisfy a² + b² = c² are called Pythagorean Triples.
- some Pythagorean triple other than 3,4,5 is 5,12,13

This picture shows how a pythagorean triple works. Its three squares making a right angle triangle in the middle.

Example:

Following the formula a² + b² = c2 we got 5² +12² = 13².

a²= 5 - 5²
b²= 12 - 12²
c²= 13 - 13²

a² + b² = c2
5² +12² = 13²
25 + 144 = 169

You’re locked out of your house and the only open window is on the 2nd floor 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?

PART III

In this problem, it says to find the length of the ladder to reach the window. (Ladder: a, house: b, ground: c) In the picture, you can see a triangle. (a²+b²=c²) The length between the window to the ground is 25 feet, the length between the house to the ladder is 10 feet because of the bush, you have to find how long the ladder has to be. (25²+10²=c²) Next you have to find the square root of these numbers. (25² = 625, 10² = 100) An easy way to find the length of the ladder is just by adding the square roots together. (625+100=725) Then, you have to find the squared number of 725. (√725 = 26.93²) Now that you have the square root of 725, 26.93 feet is how long the ladder has to be to reach the window.

PART IIII
Jordan and Jon are playing a 2 on 1 volleyball game with Jessica. Jessica served the ball to Jordan with a distance of 12 m. Then Jordan passed the ball to Jon with a distance of 5 m. How far does Jon have to hit the ball to Jessica?

Danica's pythagoras growing post

2008-03-13T21:36:00.009-05:00

This is my word problem

Danica's Third Growing Post

The pythagorean theorem states that the legs (a & b) and the hypotenuse (c) of a right triangle obey the following relationship a squared + b squared= c squared.

Perfect Square Chart
1 square= 1
2 squared=4
3 squared=9
4 squared=16
5 squared=25
6 squared=36
7 squared=49
8 squared=64
9 squared=81
10 squared=100

2)
BubbleShare: Share photos - Powered by BubbleShare

BubbleShare: Share photos - Play some Online Games.

This is a word problem we had to solve in class

BubbleShare: Share photos - Powered by BubbleShare

Kiahna's Pythogoras Growing Post

2008-03-13T21:22:00.011-05:00

Kiahna's Third Growing Post!

This is an example o some of the work we did in class!

The first one on the top left corner says:
The pythagorean theroen states that the legs are a2 and b2. The hypotenuse c2. obey the following relaionship. A2+B2=C2.

The second one on the top right is:
A2+B2= C2

The third one on the bottom left says:
The pink one is 3x3=9.
The outside blue is also nine
so the pink is the outside of the bigger triangle
Kind of like hair.

This is Question # 1
Pythagorean Triple

a2= 36

b2= 64

c2= 100

You have to use a perfect square chart from one to ten
12 1x1 1
22 2x2 4
32 3x3 9
42 4x4 16
52 5x5 25
62 6x6 36
72 7x7 49
82 8x8 64
92 9x9 81
102 10x10 100
2 stands for squared

Question #2

Find The Missing Number

You use the perfect square chart to figure this out but this time you can use it from 1-to whatever you want. I used 1-30.

BubbleShare: Share photos - Play some Online Games.

12 1x1 1
22 2x2 4
32 3x3 9
42 4x4 16
52 5x5 25
62 6x6 36
72 7x7 49
82 8x8 64
92 9x9 81
102 10x10 100
then just go up to 30.

Question #3

Word Problem Letter B

BubbleShare: Share photos - Powered by BubbleShare

My Word Problem

Harry has 9 cm and 10 cm. He i useing the 9 cm for a2 and the 10cm for b2. He needs help finding the c2 . You ahve to find the missing side so do whatever you do for it and find the answer.

Andrea's Pythagoras Growing Post

2008-03-13T20:40:00.017-05:00

TRIPLE PYTHAGOREAN THEOREM:

Part One:
A Pythagorean triple consists of three positive integers a, b, and c. A right triangle exists with legs a, b and the hypotenuse c. A Pythagorean Triple is three square numbers in which when two square numbers are added they equal another square number.

Other Pythagorean Triples:

(5 12 13)

(7 24 25)

(8 15 17)

(9 40 41)

(11 60 61)

(12 35 37)

Part Two:

FIND THE MISSING LEG:

FIND THE MISSING HYPOTENUSE:

Part Three:

Part Four:

Lindsay is in math class and is learning about the pythagorean theorem (a² + b²= c²). The question on the board is asking how can you prove that 3² + 6²= 9². Expalin if the answer is right or wrong. Use a picture to show your work.

OTHER EXAMPLES:

Kierra's Pythagoras Growing Post.//

2008-03-13T18:30:00.016-05:00

Pythagorean Triple

is three any 3 numbers that can fit A(squared)+ B(squared)=C(squared) is called the pythagroean triple.

If you have:

a(squared)=8

b(squared)=6

c(squared)=10

So in a pythagorean triple a + b would be the legs in the triangle and c is always the hypotenuse:

The picture shows you how a(squared) + b(squared)=c(squared)

In this example: 8(squared)=64 + 6(squared)=36 = 10(squared)=100 or (64 + 36 = 100)

Part 2 :

Part 3:

For part 3 I chose to explain the baseball diamond problem:

You’ve just picked up a ground ball at first base, and you see the other team’s player running towards third base. How far do you have to throw the ball to get it from first base to third base,and throw the runner out?

Each side of the baseball diamond is 90ft

As you can see in the picture all you had to do was cut the diamond in half from 3rd base to 1st and get the right triangle. From there all you had to do was figure out side C which was the distance from 3rd to 1st base. and to figure of C all you did was use A(squared) + B(squared) = C(squared)

Part 4:

My Dog Bob

My dog bob is a really long tongue and he is standing on the floor, 3 meters from the cookie cupboard. The cupboard is 5 meters tall and the cookies are at the top.Bob's tongue is 1 m. off the ground from where he is standing. How far does Bob have to stretch his tongue to get the cookies ?

Megan's Scribe Post

2008-03-13T17:43:00.005-05:00

Today in class we continued with our new unit The pythagorean Theorem. We had to find out the Pythagorean Triple using only up to 5 on our perfect square chart. The pythagorean triple is 3,4 and 5.

(Ex. 32(squared) + 42 = 52. = 9 + 16 = 25. A2 + B2 = C2. The first, second, and third numbers show A2, B2 and C2. (squared).

32 or 9 = A,

42 or 16 = B2,

and 52 or 25 = C2

Then later during class we showed the pythagorean triple in 3 pictures for better understanding.

This is called Proof #1

1) This picture shows that the pythagorean triple helps show A2 + B2 = C2.

2) Shows that 32 + 42 = 52 using...well, squares to show that both A and B makes C.

3) The shaded parts around the 42 shows that 52 was made by adding 32 to 42.

Well, thats it!!! XD (Feel like using red now!)

Kierra's Scribepost.// March 11/2008

2008-03-11T19:11:00.005-05:00

Kierra's Scribepost.//

Today in class we started a new unit thingy called Pythagoras.

In this unit we start off with circles and 90 degree angels. We wrote everthing in our blue foldables:

-A circle equals 360 degrees

-A circle split into quadrants, each angle equaled 90 degrees

-In a right triangle the square points to the hypotenuse, shown in the picture. The hypotenuse is always labelled c and it's legs are labelled a + b

-In many cases the right angle will have it's legs labelled a + b and the hypotenuse is always labelled c

-Here is the picture of a rectangle with 2 right triangles in it. Since the area of the rectangle is a x b, the area of the right triangles inside is 1/2 of (a x b) e.g if the area is 12 then the area of the triangle is 6... this will lead us to our theorem

-So the area of a square would be a x a which would equal a (squared)

The Pythagorean Theorem:

The pythagorean theorem states that the legs a + b and the hypotenuse obey the following theorem: a (squared) + b (squared) = c (squared)

That was pretty much it :)

emilyr's scribe/.

2008-02-20T22:59:00.006-06:00

Allowance For September/.
would you want 5 dollars a day.
OR
1cent double a day.

At first i wanted 5 dollars a day because in one week you'll have 35 dollars and if i take 1 cent double a day you'll have $2.56 for a week.
and 5 dollars a day would get you 150 dollars per month.

PROVE WHO IS RIGHT. (:

to prove who is right you need to know how much $ per month which is 30 days. (:

a cent double a day. well equal about 2097152000 pennies and if you put that in dollars it well be 20971520 dollars.

For the table in the left you need to multiply 5 to the days. By multiplying the days to 5 you'll get the answer for that day. example ; [ 1 x 5 = 5] [ 2 x 5 = 10] . . .

HOMEWORK. (;
the graph needs ;
a title ,
x axis,
and and y axis, (:

the homework is to fill out the graph thingy. the first 15 ? haha (: idk .(: well yeah thats my scribe :P

Andrea's Scribe

2008-02-11T16:52:00.000-06:00

The Question:
The frist step:

7 x 2 + 1 =
You will get an improper fraction.
Now use reciprocal as one of your

strategies to solve this problem.

Just switch the denominator with

the numerator to get 2/15.
I wrote 40/1 because all whole

numbers are out of 1. Multiply 40/1

by 2/15 and that will = 80/15.

Since this is an improper fraction

you need to make it proper.

To get a proper fraction see how

many times the denominator

goes into the numerator. Your ending

fraction should be 5 1/3 ( already simplified)

Leta's Scribe

2008-02-06T16:32:00.000-06:00

Today in class we....

Learned to do easier ways for dividing fractions...
Ex. 2/3 / 1 1/2 =?

Mr harbeck taught us....
That when its like that question ^ then we have to make it inproper.
(ex. 2/3 / 1 1/2 = 2/3 / 3/2) so when its like that we can make it inproper and it will be easier to do. so when you make it inproper if you find a pattern like this:

<--- See how they have both the same numbers!!! <--- Then you could change the denominator and put it in the oter fractions denominator. So then you would have 2/2 and 3/3. <--- Or you can just times the numerator and then since the denominator has the same numbers it will equal the same sum as the numerator. so if you times them you get 6/6 which equals 1.

Mr. Harbeck Learned And Taught Us.....

Mr. Harbeck learned and taught us that when you do a question like this:
2/3 /11/2 = 2/3 / 3/2
= 6/6=1 And when you do those kinds of questions you have to line up the first equal signs.. Mr harbeck learned this from Mr. Ralph

For homework we had....

Had to finish that piece of paper that Mr. Harbeck gave to us in class and give examples for rows 4 and 5. In row 3 we had to finish the questions. In colum 5 we had to show recipicals for the fractions he gave us. And for row 2 we had to explain how we did the questions in row 3.

Derrick's Scribe Post

2008-02-05T21:41:00.000-06:00

Today in math class, we learned more about dividing fractions.

Mr. Harbeck assigned us some questions for homework:

3/4 / 1/8
5 / 1/4
9/10 / 12
5/8 / 3/10

As you can see, you can use a ratio table to answer this question. After finding out the answer, you have to make it a "reciprocal". Once you find the answer using the reciprocal, you must simplify it in lowest terms.

Whatever you did on one side of the ratio table, you must do on the other side of the ratio table. You do the same thing for this question too. You have to make it a reciprocal. So 5/1 x 4/1 = 20/1.

You can also simply just switch the denominator and the numerator too, like shown in this question. 9/10 was turned into a reciprocal, which would be 10/9. 10/9 x 12/1 = 120/9 You have to simplify this to lowest terms too.

Same thing for this one too, you make 3/10 into a reciprocal. You also have to simplify it in lowest terms.

Reciprocal: When you switch the denominator to the numerator, and the numerator to the denominator.

Romulo's Scribe Post

2008-02-05T18:18:00.000-06:00

Romulo's Scribe Post

So today in calss we went over our questions we had for homework on the Smart Board. Those questions were

- 1/5 divide by 2/3
- 1/4 divide by 3/8

- 2/5 divide by 7/10

- 2/15 divide by 1/6

- 4/5 divide by 1/2

That's what we basically did for the first 40 min. Harbeck gave us the rest of the time to try and finish our homework.

Today's questions were

- 8/9 divide by 2/3
- 5/12 divide by 3/16
- 3/4 divide by 1/8
- 5 divide by 1/4

- 6 divide by 4/7

- 1/2 divide by 4

- 9/10 divide by 12

- 5/8 divide by 3/10
- 8/11 divide by 2/11

I'll be doing 8/9 divide by 2/3, 5/12 divide by 3/16, 6 divide by 4/7, 1/2 divide by 4 and 8/11 divide by 2/11

Kiahna's Scribe

2008-02-01T21:22:00.000-06:00

Scribe on four 4s

For # eight i used for fours and i got eight. For nine i used an exclamation mark becuase it is a math sign.

for # 4 i used order of operations and i used a exclamaion mark on # six.

For # 2 i used a order of operations again. the rest were simple.

That is the work we did in class today!

Scribe for Questions 10 and 11

2008-01-31T17:50:00.000-06:00

Justing's first scribe post

Question 10: Mcdonalds sell milkshakes in two sizes. A small milkshake contains 300ml and a large milkshake contains 2/3 more.
How much does a large milkshake contain?
I divided 300 by 3 to get 100. So for every 1/3 is 100ml. Since a large milkshake is 2/3 more than a small it is 200ml larger (500ml).

If Mr. Murrin drinks 2/3 of a small milkshake and Miss Hoyne drinks 1/2 of a large milkshake who drinks the most?
I used the same strategy from part A of this question and learned that Mr. Murrin drinks 200ml of milkshake. For Miss Hoyne I multyplied 500ml by 1/2 to get 250ml. Miss Hoyne drank more.

Question 11: Half a can of paint covers 1/3 of a room. How much paint is needed to cover the whole room?
This one was really easy. I multyplied 1/3 by three which got me 3/3 or one whole. If I did this I have to do the same to 1/2 of a can. 1/2 multyplied by 3 equals 1 1/2. 1 1/2 cans is needed to paint the whole room.

Hopefully I did this scribe right because this is my first scribe ^_^

Robby's Scribe Post

2008-01-24T16:14:00.000-06:00

Today, we did a test on adding, subtracting, and multiplying fractions.

THE QUESTIONS WERE:
1 1/5 + 3 2/3 =

5 3/4 - 3 5/6 =

7/8 x 4/5 =

2 2/3 x 4 1/2 =

I answered the questions on Microsoft Paint -like application:

1 1/5 + 3 2/3=

For those of you that CAN'T SEE, the writing under the question says: Now make Equivalent Fractions. FOr 1/5 and 2/3, they both go into 15. So multiply numerator of 1 by 3 and the numerator of 2/3 by 5. The denominator will be set at 15.
*Circled areas are answers or part answers.

5 3/4 - 3 5/6 =
STEPS I TOOK:
I (wife) swapped 3/4 and 5/6 to get 5/4 and 3/6. 3/6 is half and 5/4 = 1 1/4.(new question being 6 1/4 - 3 3/6.
Then, I turned 3/6 into 1/2 and did simple subtraction with the wholes. With the fractions, I turned 1/2 into 2/4 to have a common denominator.
The question now is 6 1/4 - 3 2/4. But you can't subtract 2/4 from 1/4, so you need to BORROW a whole from 6 and add it to 4. 1 Whole is 4/4 for this question. So add 4 to 1 to get 5/4. Now you can subtract it with a proper fraction as the answer.

7/8 x 4/5 =
A much faster way to do this is just multiplying and simplifying.
If any of you have caught, i turned 7/5 into a mixed then back to an improper. My mistake, too lazy to fix because i can take half a minute to write this explaining instead of taking a half hour and doing this whole thing again.
7 x 4 is 28
8 x 5 is 40
28/40 ÷ 2 = 12/20
12/20 ÷ 2 = 6/10
6/10 ÷ 2 = 3/5.

Hmmmmmmmm
the answers are different for both strategies. I guess it DOES make a difference if you swap.

2 2/3 x 4 1/2=
Enlarged to view writing.

&*(&*(&(*&(*&(*&(*&(*&(*&(*&&(*&(*&(*(*&(*&(*&(*&(*&(*

Well, thats my scribepost. Took a good 2 hours because i was using this new paint program, which turned out it stunk and wasted my time. , =P ,>_> ,<__<>_<> =o

Angel's Scribe Post

2008-01-23T18:54:00.000-06:00

Today in class we learned how to multiply improper fractions.

change the mixed numbers to improper fractions. (denominator x whole + numerator)

multiply the numerators

multiply the denominators

simplify to mixed fractions

Here is an example of what it would look like if you were to do the question 2 1/3 x 1 1/4 =

Remember to Multiply the denominator to the whole and then add the numerator.

( 2x3+1=7 )

__________
3

( 1x4+1=5 )

__________
4

7/3 x 5/4 = 35/ 12
As step number 4 said : make it into a mixed fraction
Now we have to see how many times 12 goes into 35.

12 goes in to 35 two times so the answer is 2.

Megan's Scribe Post

2008-01-22T16:37:00.000-06:00

Megan's Scribe Post~~ (im starting to like orange! XD)

Today we learned how to multiply fractions and make fractions easier to answer with numerator swap.

Multiplying

For example, if you get a fraction like 2/5 x 1/4, to get the answer, you could times the denominator by the other denominator and you would get the answer's denominator. Since you had already found the denominator for the answer, next step is to multiply the numerator by the other numerator. So lets see, Denominators = 5 x 4 = 20 so now it looks like this /20 without a numerator. Then since you have the denominator, you times the numerator, 2 x 1 = 2. So the answer is 2/20.

Simplifying

Now that you have the answer to the question, now you must simplify. To simplify, you use numbers that are divisible by both numbers. 2/20 seems to be both divisble by 2 you divide both of the numbers to simplify. 2 divided by 2 = 1. 20 divided by 2 = 10 so now the fraction looks like 1/10. You just simplified! Grats XD

Numerator/Wife...O.o Swap

To numerator/wife swap, at first, you would have to get a fraction like 3/4 and 4/9. You see how the number 4 is diagonal with the other 4? You can swap 4 with the 3 to make 4/4 x 3/9. You see that a fraction is the same number on both denominator and numerator right? Since this makes a whole, it = 1. So 4/4 means 1 x 3/9. 1 x 3/9 = 3/9 since you just had to multiply once and it ends with the same fraction. Now you need to simplify, both of the numbers are divisble by 3 so you divide both of the numbers by 3 and you got 1/3.

Yay I'm Done!!! XD

~Megan

Marina's Scribe

2008-01-21T17:08:00.000-06:00

-My Scribe-

- For each question i switched the denominators so the first question would be like 3/2 x 1/4 instead of 3/4 x 1/2. Then i multiplied the denominators first like /2 x /4 = /8. Then i multiplied the numerators like 3/ x 1/ = 3/. So then it equaled 3/8.....

- So then i did that with each question but with different numbers and got different answers for each question....

--marina☺

Alatoba , 8-16

2008-01-14T22:21:00.000-06:00

Chantel's Alatoba

2008-01-14T19:58:00.000-06:00

Alatoba,8-16

2008-01-14T19:36:00.000-06:00