817 Math (2007)

Kevin's Algebra Scribe

2008-05-14T19:19:00.007-05:00

Page 43, Algebra

1.Ms. Enigma said, “Five less let x = Ms. Enigma’s age.
than one third of my age is
14 is my age” How old is Ms.
Enigma?

The first thing that we do is make a sentence answer…..

Ms. Enigma is ______________ years old.
1/3x - 5= 14
To get ride of our integer we have 5to do some
Opposite operations.
1/3x – 5 = 14
1/3x +5 = 14

Now what we do to one side we do to the other.
14 + 5 = 19
x/3 is the same as saying 1/3
x/3 = 3(19)
3 times 19 = x = 57 Ms. Enigma is 57 years old
Our last step is to substitute to check

1/3x – 5 = 14
57/3 – 5 = 14
14 = 14
-----------------------------------------------------------------------------------

2.Suppose you have 5o dollars let x = the number of hours
And earn 8 dollars per hour. You must work
How many hours must you
Work until you have 170 dollars?
Now we make a one sentence answer……

You must work _______________ hours.
Hour 1= x _____________ = x = 15

Dollars per hour = 8x____ = 8(15) =
TOTAL= 8x + 50 170 dollars
- 50 ___-50___________
------------
X= 15 8x = x 120
_____ _____ = 15 h
8 8
The last step is to substitute to check

8x + 50 = 170 dollars
8(15) + 50 = 170 dollars 170 = 170

SORRY GUYS I WILL GHET THE REST UP TOMORROW:(:(:(:(:(

Kathleen's Scribe

2008-05-13T19:22:00.006-05:00

Questions 6-10

Israelie's Scribe

2008-05-13T18:20:00.005-05:00

Questions 1-5

:D

Chris' Scribe

THE END !!!

2008-05-05T19:43:00.004-05:00

*STEPS to SUCCESS
1.) Isolate the VARIABLE
2.)Cancel the constant using its opposite (0)/0 pair
3.)Balance
4.)Substitute to checkmark

ANGELICA BALDON

Israelie's Scribe

2008-05-05T18:40:00.004-05:00

Equation Solving --- Multiplying and Dividing ---

Steps to success...

1. Isolate the variable
2. Cancel the variable
Using its opposite x or /
to get 1 variable

2a.) - negative variables must be cancelled by - variables to create a positive variable
3. Balance
4. Substitute to check

Dividing:

Jordan's Pattern Investigation 2 Scribe

2008-05-01T19:24:00.011-05:00

Car Repairs

2. Make a Table to Show the results of Your Investigation
3. Describe The Patterns Found In Each Row
Figure # - Start With 1, Increase by 1
# Of Repairs - Start With 1, Increase by 2

B. Describe Why The Patterns Increase The Way That They Do.
With every figure # your car needs two more repairs.

4. Describe The Relationship Between The Two Columns
Multiply figure # by 2 then subtract 1.

C. Write An Algebraic Equation To Show This Relationship
Let X represent Figure # = 2X-1

5. Predict What The 20th, 35th and 99th digram will look like

20th - 2X-1 2x20-1 40-1 = 39
35th - 2X-1 2x35-1 70-1 =69
99th - 2X-1 2x99-1 198-1 =197

7. Make A Graph For The First 6 Terms And Label The Line According By It's Equation.

Harbeck's Training

2. Make a Table to Show the results of Your Investigation

3. Describe The Patterns Found In Each Row
B. Describe Why The Patterns Increase The Way That They Do.
4. Describe The Relationship Between The Two Columns
C. Write An Algebraic Equation To Show This Relationship
5. Predict What The 20th, 35th and 99th digram will look like
7. Make A Graph For The First 6 Terms And Label The Line According By It's Equation.

Kathleen's Scribe

2008-05-01T19:15:00.009-05:00

Algetiles

Today In class we learned what are algetiles and how to use them. We also learned the terms, and how to combine like terms together.

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

A few Examples:

Terms:
-Variables
-Integers (Constant)

Combining Like Terms:
+1 -2

Erick's Scribe!

2008-05-01T18:36:00.004-05:00

In class we were doing some investigations about patterns and relationships between them, and at the end of the investigation, we would have to find an algebraic expression that would work every time for the pattern!

Patterns and Relations investigations answer sheet!

Stuck In My Teeth!!!

(**Note, we had the information about the first few figures but i will draw out all five.)

First We had to:

1. Draw out the next two patterns in the space below.

See ain't that pretty? Now for the next step!

2. Make a table to show the results of your investigation.
This table will look very similar to a t-chart but it is turned around.

Now that the B-E-A utiful chart is done, we now go on to the next step!
Isn't it weird that "x" is on the bottom?

3. Describe the patterns found in each row.

y= toothpicks Start with 3
Increase by 2 for each new figure

x=Figure # Start with 1
Increase by 1

b. Describe why the patterns increase the way that they do.

For every new figure , you get two new toothpicks!

that was easy right? Onto the next step:

4.Describe the relationship between the two columns.

Both of the Columns Increase

"x"=Figure # - Increase by one

"y"=Toothpicks - Increase by two

I know its a weird pattern but its the first one i saw and its the simplest!

Onto the next Step
:

c. Write an algebraic equation to show this relationship.

(WARNING, an expression is the one without the answer. An EQUATION is the one with the answer. Remember that!)

2x + 1 = y

Let "x" equal - Figure number
Let "y" equal - Toothpicks

MAN that was easy! did you get it? i thought so!

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

2x+1=y
20th- 2(20)+1=41

2x+1=y
35th- 2(35)+1 = 71

2x+1=y
99th- 2(99)+1= 199

7.Make a graph for the first 6 terms and label the line according by its equation

Was that a little tricky? Not even!

Thanks for reading, please comment on any mistakes i have made or maybe you can compliment on my fabulous work!

Charmaine's Scribe

2008-05-01T16:11:00.009-05:00

My Scribe:Algebra Test #1

Here are the first set of questions Mr.Harbeck gave us

1. 3x+8 - 3 times plus eight

2. 7x+5x - 7 groups of a number plus 5 groups of a number

3. 5(x+8) - five times the sum of a number and eight

4. 8-3x - 8 decreased 3 times a number

5. 9 centimeters less than three fourths of length X - 3/4x9

6. seven decreased by four times a number - 7-4x

7. 9 less than 3 times a number - 3x-9

8. four more then 8 times a number - 8x4+

On the second part of our test we had to do a graph, tee-chart

and find and algebraic equation for our problem.

Here was our question:

Here Is My Tee-Chart

Here Is My Graph

Now I am to show you how I ended up with these anwers

using my algebraic equation

Let x = Figure #

Let y = Number of Tiles

The Algebraic Equation is.....

3x+1=y

x=figure #

-start with one

-increase by one

y=# of tiles

-start with four

-add three each time

That is my Algebra Test #1 Scribe

Thats practically what we did on the test.

Josephine's scribe post

2008-04-17T21:53:00.008-05:00

How to find...
- Circumference of a circle
- Area of a circle
- Surface area of a cylinder
- Volume of a cylinder
Formulas:
Circumference of a circle - pi d (pi *d) OR pi 2 r (pi * 2 * r)
Area of a circle - pi r² (pi * r²)
Surface area of a cylinder -
area of circle = (pi * r²) * 2
+
area of square = H * C
=
surface area of a cylinder
Circumference = pi r 2 (pi * 2 * r) (also needed to find surface area of a cylinder)
Volume of a cylinder - area of the base * height

Voicethread of Yellow Paper:
coming soon...:)

Rectangular Prism Test Scribe Q.1

2008-04-15T19:25:00.018-05:00

find the surface area and volume of...

VOL= area of base x height

BASE: lxw=

4x4=

HEIGHT= 4

16 x 4 = 64 cm3

SA= 2(hxl)+2(wxh)+2(lxw)=

SA= 2(16)+2(16)+2(16)=

SA= 32+32+32=

SA=96cm2

Karen's B.O.B

2008-04-14T21:38:00.017-05:00

For Finding the Surface Area you just follow the fomula! 2(HxL) + 2(HxW) + 2(LxW)

Fomula:

Net of a Rectangular Prism:
Once you know the formula you can start filling in what you know.

Finding the Volume of a Rectangular is too. You just have to follow the fomula.

Formula:

Now we can answer the fomula! By filling in the information we know!

gails bob

2008-04-14T20:22:00.004-05:00

BOB - blogging on blog

AREA:

Volume:

Israelie's BOB

2008-04-14T20:13:00.008-05:00

Surface Area of a Rectangular Prism

---H=2 W=2 L=4---

SA=2(HxL)+2(HxW)+2(LxW)

=2(2x2)+2(2x2)+2(4x2)

=2(4)+2(4)+2(8)

= 8+8+16

= 32 cm²

Volume of a Rectangular Prism

---L=5 H=2 W=2---

V= LxHxW
= 5cm x 2cm x 2cm
= 20cm³

OR

area of the base x height
=10cm x 2cm
= 20cm³

:)

Kathleens B.O.B

2008-04-14T20:08:00.004-05:00

Surface area of a rectangle prism:

A way to solve this problem:

L= 12
W= 4
H=12

Formula:
surface area(sa) = 2(hxl) + 2(hxw) + 2(lxw)
sa= 2(12x12) + 2(12x4) + 2(12x4)
sa= 2(144) + 2(48) + 2(48)
sa= 288 + 96 + 96
sa= 480 cm sqaured

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

Volume of a rectangular prism:

Formula:

Erick's BOB

2008-04-14T19:54:00.005-05:00

First Up Surface Area.!

Now the Area of a rectangular Prism is the area of all of the sides of the shape added up.

This is the net. This gives you a very good visual aid in helping you find the surface area of the shape because it shows all of the sides and squares.
Also it just looks neater.

How to find the Surface Area.

Ok. so, shown on this net we have each side measuring 5cm. Now i did some work that is not shown here, but all i did was get the area of the box by using the formula, LxW. So 5x5 would give me the area of one square.

Now all we need to do is use a simple formula to find the surface Area.

Here's the formula for that!

Surface Area= 2(hxl)+2(hxw)+2(lxw)
Surface Area=2(5x5)+2(5x5)+2(5x5)
Surface Area=2(25)+2(25)+2(25)
Surface Area= 50 + 50 + 50
Surface Area = 150cm2

Now its Time for the Volume!!

Now Volume is really simple! All you have to do is Get the measurements of all three sides and multiply them using this formula.
Volume of a Rectangular Prism
LxWxH

5cm2x5cm2x5cm2=125cm3

Please note the cubed!

Another way is Area of base X Height

(25cm2)5cm2=125cm2

Josephine's B.O.B

2008-04-14T19:39:00.009-05:00

Surface area of a rectangular prism:

L=6cm
W=2cm
H=2cm
SA = 2(H * L) + 2(H * W) + 2(L * W)
= 2(2 * 6) + 2(2 * 2) + 2(6 * 2)
= 2 * 12 + 2 * 4 + 2 * 12
= 24 + 8 + 24
= 56cm²

click for bigger picture

Volume of a rectangular prism:
L=4cm
W=2cm
H=2cm
V = (L* W) * H
= (4 * 2) * 2
= 8 * 2 = 16cm³
OR
= (area of the base) * H
= 8 * 2
= 16cm³

click for bigger picture

Exequelle's BOB

2008-04-14T19:29:00.006-05:00

Surface Area of A Rectangular Prism

The surface area is the area of all the sides added up, how much area the object has.

A net is how an object would look if it was flattened. It would look like this. From a rectangular prism into its net.

Now to answer the question you have to use the formula:
2(W*H)+ 2(H*L) + 2(L*W)= The surface Area.

W= 8cm2

L = 4cm2
H = 1cm2

Basically you just fill in the all of the blanks.

2(W*H)+ 2(H*L) + 2(L*W) =

2(8cm2 x 1cm2) + 2(1cm2 x 4cm2) + 2(4cm2 x 8cm2) =
2(8cm2) + 2(4cm2) + 2 (32cm2) =

16cm2 + 8cm2 + 64cm2 =

Surface Area = 88cm2

Another way is to add up all of the areas of each rectangle in the net:

32cm2 + 32cm2 + 8cm2 + 8 cm2 + 4cm2 + 4cm2 =88cm2

Volume of a Rectangular Prism

Volume is how much space the object takes up.

The formula to find the volume of a rectangular prism is:
(W x L) x H = Volume

W = 8

L = 4

H = 1

Again you plug in the numbers.

(W x L) x H = Volume

(8 x 4) x 1cm =

(32) x 1 =

Volume = 32cm3

Another way to do this is B x H. If you didn't know the base is Width x Length.
Base = 32 Height = 1 32 x 1 = 32cm3

alicia's BOB

2008-04-14T18:30:00.017-05:00

SURFACE AREA OF A RECTANGULAR PRISM

how to find it...

SA=2(hxl)+2(hxw)+2(lxw)

front sides top

and and

back bottom

SA=2(5x5)+2(5x10)+2(5x10)

SA=2(25)+2(50)+2(50)

SA=50+100+100

SA=250cm(sq)

VOLUME OF A RECTANGULAR PRISM

how to find it...

volume=area of base x height

base=5x10=50cm

height=5cm

50x5=250cm(cubed)

Jordan's BOB

2008-04-14T18:01:00.006-05:00

The Surface Area Of A Rectangular Prism!

Surface area is all of the areas on all of the sides added up on a solid figure such as ( in our case) a rectangular prism.

This is called a net. ---------------------> Nets are made out of shapes like this cube.
This is how you would change a cube into a net:
Heres how to get the surface area of a rectangular prism:

We know that there are two 6cm squared, two 2cm squared and two 3cm squared.
This is what it looks like: ( don't forget the formula)

2(6cm squared) + 2 (6cm squared) + 2 (3cm squared) Now do some math
36cm squared + 4cm squared + 9cm squared =
49cm squared.

A longer way to do it is like this:

(6x6) + (2x2) + (3x3)
36 + 4 + 9 =
49cm squared.

Volume Of A Rectangular Prism

Lets say that we are trying to find the volume of a rectangular prism.

L = 6
W = 2
H =2

Here's how you solve it.

L x W x H = (6cm squared x 2cm squared) x 2 cm squared =
24 cm squared.

Multiple methods to show this are

Length x width x height ( height also known as depth)
or you could use
Area of base x height

B.O.B

2008-04-14T17:55:00.008-05:00

SURFACE AREA OF A RECTANGULAR PRISM:
example:

W=2
H=2
L=4
SURFACE AREA formula for RECTANGULAR PRISM:
SA=2(H*L)+2(H*W)+2(L*W)
SA=2(2*4)+2(2*2)+2(4*2)
SA=2(8)+2(4)+2(8)
SA=16+8+16
SA=40 cm ²

VOLUME OF A RECANGULAR PRISM:

VOLUME formula for a RECTANGULAR PRISM:
L*W*H
(2*4)*4-32 cm²

Charmaines B.O.B

2008-04-14T17:43:00.006-05:00

Rectangular Prism: Volume and Surface Area

In my B.O.B we are going to find out the

volume and the surface area of this

rectangular prism.

Surface Area

Here is my formula for my rectangular

prism.

2 ( 4 x 2 )+ 2 ( 1 x 2 )+ 2 ( 4 x 1 ) =
2 (8 cm2 ) +2 ( 2 cm2 ) + 2 ( 4cm2 ) =

16 cm2 + 4cm2 + 8cm2 = 28 cm2

The second way in finding the surface

area.

2cm 2 + 2cm2 + 4 cm2 + 4 cm2 + 8cm2

+ 8 cm 2 = 28 cm2

Volume

Now here is the volume for my rectangular

prism.

( L x W ) x H = area or you can also use.......

Area of the base x height

Formula :

( L x W ) x

H = area
L = 8

W = 4

( L x W ) x H H = 1

( 8 x 4 ) x 1 =32 x 1 = 32 cm3

Or the other way is

Area of the base x height = area of a rectangular

prism. The area of our base is 32 and 32 x our

height would be 32 x 1= 32 cm 3.

Kevin's BOB

2008-04-14T16:40:00.012-05:00

In this B.O.B. we are going to find out how
to find the volume and the surface area of
a rectangular prism.

What we did was draw a net of our shape out on gird paper and each cube represents 1 cm and then we labled it. Make sure the formula is writen down. The formula is ....

2 ( 4 x 2 )+ 2 ( 1 x 2 )+ 2 ( 4 x 1 ) =

2 (8 cm2 ) +2 ( 2 cm2 ) + 2 ( 4cm2 ) =

16 cm2 + 4cm2 + 8cm2 = 28 cm2

A secccond way is to just add the lengths together like this... 2cm 2 + 2cm2 + 4 cm2 + 4 cm2 + 8cm2 + 8 cm 2 = 28 cm2

To find the area of a rectangular prism you can use 2 diffrent stratigies or formulas. You can use...

( L x W ) x H = area or you can also use....... Area of the base x height. in this B.O.B we are going to solve it using both. First we drew a net of the rectangular prism.

Fromula : ( L x W ) x H = area

L = 8
W = 4 ( L x W ) x H
H = 1 ( 8 x 4 ) x 1 =
32 x 1 = 32 cm 3

The seccond way to solve this equation is to use the formula >>>>>> Area of the base x height = area of a rectangular prism.

The area of our base is 32 and 32 x our height would be 32 x 1= 32 cm 3. Since we are dealing with a 3 dimensional shape we have to make sure we use cubed witch is 3 instead of 2.

Judy's BOB

2008-04-14T16:11:00.010-05:00

THE SURFACE AREA OF A RECTANGULAR PRISM
1.what is surface area?
surface area is the total area of the outside of a 3-D shape

2. how do you find the surface area?

first take your shape, and draw what it
would look like if it were opened and laid out:

Then measure the sides,
and find the area of each separate square (or rectangle)
.... suppose the sides are all 2cm long.
The formula to find the area of a square is
Length x Width so the area of each square would be 4cm²

Finally, use the formula to find the surface area.
you can either use:

(area = a)
a+a+a+a+a+a= surface area
4cm²+4cm²+4cm²+4cm²+4cm²+4cm²= 24cm²
OR
2 (HxL)+ 2(HxW)+ 2(LxW)
2(2x2)+ 2(2x2)+ 2(2x2)
2(4)+2(4)+2(4)=
8cm+8cm+8cm= 24cm²
------------------------------------------------------------------------------------------------
THE VOLUME OF A RECTANGULAR PRISM

1. what is volume?
the amount of space an object takes up. in this case, a rectangular prism

2. How do you find the volume?

take a rectangular prism, and measure
it's length, width, and depth (also called height)

Then use the formula to find out the volume. You can use:
length x width x depth
3cm x 5cm x 2 cm
=30cm³
OR
Area of base x depth
(3cm x 5cm) x 2cm
15cm² x 2cm= 30cm³

Erick's Scribe

2008-04-13T17:26:00.007-05:00

In class we measured books with 1cm cubic centimeter squares, and we were trying to find the surface area and the volume of the book.

Here are a few examples..

A Hey B.C Book.

Example 1...

**Note Before Reading**
If you do not understand Surface Area, Please look at Iseralie's or Kevin's Scribe below mine!!

Here is the Net of the B.c Book..

Now we have to find the Surface Area.

SA= 2(hxl)+2(hxw)+2(LxW)
Sa=2 (18x1)+2(18x10)+2(1x10)
SA=2 (18)+2(180)+2(10)
SA= 36 + 360 + 20

SA= 416cm2

Here is the Volume..

Volume of a Rectangular Prism
LxWxH---------*THIS IS THE FORMULA!!!

1cm2 x 10cm2 x 18cm2 = 180cm3

Or....
Area of Base X Height
*Area of the base multiplied by the height is another way to get the volume of a rectangular prism or a cube!

(10cm2) 18cm2 = 180 cm3

Example 2

Here is the Net of A Dictionary...

*Note.. Its Recommended that you click on the Pic to See the Picture and the Math Work Better.

Here is the Volume of the Dictionary

Volume of a Rectangular Prism
LxWxH ---------*THIS IS THE FORMULA!!!

5cm2 x 11cm2 x 19cm2 = 1045cm3

Or....

Area of Base X Height
*Area of the base multiplied by the height is another way to get the volume of a rectangular prism or a cube!

(55cm2)19cm2 = 1045cm3

If There are any mistakes, please comment.
Or if you have any compliments please comment.
Thanks for viewing my Scribe!

Israelie's Scribe

2008-04-08T23:52:00.012-05:00

Today in class, we had to find out the surface areas of different shapes. We had to make nets for the 3D shapes and then we drew the nets on grid paper. Then we cut them out and glued them in our notebooks.

Three of the six shapes that we did in class:

Kevin's Scribe

2008-04-08T18:25:00.020-05:00

Today we were working with our groups to find diffrent surface areas with shapes such as squares, rectangles, and triangles of diffrent shapes. What we are going to do next is we are going to look at 3 of the shapes we did in class.
We traced all of the shapes out on grid paper and glued it into our note books....
*Make sure to lable all the sides

The first one I did was finding the surface are of a rectangle.I started by making a net of the shape. Each of the cubes are one centimeter all around so it was easy to find the lenght of each side. Once you have determined the side lenghts all you have to do is add them up to get the size of the box.

After you have the sizes of all the boxes you make a formula to find the surface are.

Formula For surface area....

SA = 16(2)+8(4) =

32 + 32 = 64 cm2

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

*Make sure you lable all the sides

There are 2 in this next set.
This explination is for the larger one ......You start by making the net. Then the next step is to add up all of the sides and determine a the size of each square or rectangle. Now we can make a formula for finding the surface area.
Formula............

SA = 2(4)+2(8)+2(32) =
8 + 16 +1024 =
SA= 1048 cm 2
This set of instructions are for the smaller picture.....
Draw the net on your grid paper and find the side lenghts and the size of the squares. Once you have all of the sizes you can start to figure out your formula.Formula.........

SA = 4(8) + 2(4) =

32 + 8 = 40 cm2

SA = 40 cm2
Make sure you have all of the notes and nets and everything you need to get 12 free markes. To get the rest of the shapes go and see Israelie's scribe.

Pythagorus Triple

2008-03-26T18:37:00.009-05:00

There is a bunny and it is trying to get to his bunny rabbite stack of carrots, but to get there the bunny must hop five times forward but hop three times to the left. When the bunny get's that far how far did the bunny have to hop to get there.

Chris's Pythagoras growing post

2008-03-25T09:46:00.005-05:00

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.

A Pythagorean Triple is 3 unknown numbers a, b,c that work with a2, b2=c2

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 ie. a=4 b=6 c=?)

Part 3:Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class

Problem B
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?

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

kyle's pythagorean growing post

2008-03-25T09:38:00.010-05:00

Question 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.

A pythagorean triple is three numbers that are all perfect squares. Like 3 squared + 4 squared equals 5 squared. So, then it is 9 + 16 = 25. Another pythagorean triple from the perfect square chart is 6,8,10.

Question 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=?)

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Question 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).

Mr. H jumped into a canoe to cross a river that runs east to west and is 20m wide. The current carried him down stream 8m before he reacked the other side. How far did he travel?

Question 4:

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

Mr. Smith a 10ft. ladder and has to climb up a 8ft. wall. How far away fron the wall does Mr. Smith have to place the ladder?

Angelica's GrowingPost

2008-03-24T21:39:00.011-05:00

Part 1:
QUESTION 1:
What is a Pythagorean Tripple?

Pythagorean triple are three unknown numbers: a, b, and c. They follow the formula a²+b²=c². A and B are the legs and c is the hypotneuse.

FORMULA: a²+b²=c²

Example:

a=8 a²+b²=c²

b=6 8²+6²=c²
c=? 64+36=c² ---------------------->
100=c²
√100=√c²

How to find the missing leg/hypotneuse

BubbleShare: Share photos - Play some Online Games.

LeFrog stands 1.5 m from a wall where a fly sits 2 m high. If his tongue leaves his mouth 70 cm
from the ground. How far does his tongue have to stretch to eat the fly?

Nikki's Pythagorean Growing Post

2008-03-24T18:56:00.009-05:00

Question 1)
A pythagorean triple us 3 numbers that follow the rule of A2+B2=C2

A very good example of a Pythagorean triple is to use "3,4,5" This picture shows you that

32=9
42=16
52=25

Question 2)
When your going to Find a missing leg you must follow the Formula of C2-A2=B2 OR C2-B2=A2 Ex.
52-42=A2 25-16=9 9=A2
Square root of 9=3

HOW TO FIND THE MISSING HYPOTENUSE

32+42=C2 9+16=25 Square root of 25=5

Question 3)
Worksheet problem A.
First follow the pythagorean theorem.
A2 + B2 = C2 25,2 + 10,2 = C2 625 + 100 = 725 725/ = 26.925

(FOR PICTURE BELOW)
729 - 676 = 53
725 - 676 = 49
26 49/53
And that's how you get your Answer.

Question 4)
Tristian is at the Brick. He is planning to buy a bed with the money he had kept for a
an amount of a very long time. He finds a bed that might be just right for him.
The bed is a right triangular shape. He knows that both (of the) short sides are 4
but he doesnt know what the (hypotenuse) long side is. Help tristian figure out how
long the side is.

Nick's Growing Post

2008-03-24T16:20:00.007-05:00

Question 1
A pythagorean triple is 3 numbers that follow the rule A2+B2=C2
3,4,5 is a very good example.
This picture shows this.
3 squared=9
4 squared=16
5 squared=25

Question 2
To find a missing leg you must follow the formula of C2-A2=b2 or C2-B2=A2
Ex,
52-42=A2
25-16=9
9=A2
square root of 9=3

How to find a missing Hypotnuse.
32+42=C2
9+16=25
square root of 25=5

Question 3

Worksheet problem A.

First, follow the Pythagoream theorem.

A2 + B2 = C2
25,2 + 10,2 = C2
625 + 100 = 725
725/ = 26.925

729-676= 53
725-676=49
26 49/53

And there is your answer!!!

Question 4

Sam is walking up stairs. The stairs are 3 meters wide and 4 meters tall. How much does Sam have to walk up stairs? (round to 2 decimal spots)

Pythagoras Growing Post

2008-03-24T16:19:00.005-05:00

1)

2)Missing Side

3)

4)Charlie stands 8 meters away from Sa. Sam stand 3 meters away from Joey. There all standing in a triangle. How far is Charlie From Joey?

Charmaine's Growing Post

2008-03-19T18:12:00.014-05:00

My Scribe

In class today we did some multiple

questions and we had to answer them.

I am going to do question "B".

The Question

A triangle has the side length 6 cm,

7 cm, and the square root is 13 cm.

Is this a right angle??

The Answer

a2=(squareroot13)2=13

b2=62=36

c2=72=49

a2+b2=c2

Part 1:

Whats a Pythagoras Theorum?

A pythagorean Triple is 3 perfect numbers used to satisfy

the problem, a2+b2=c2. Some others are 3, 4, 5 and 6, 8, 10.

a=6 - a2=36

b=8 - b2=64

c=10 - c2=100

a2 + b2 = c2 + 64 = 100

This is one of the examples:

Part 2:

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Part 3:

LeFrog

LeFrog stands 1.5 m from a wall

where a fly sits 2 m high. If his

tongue leaves his mouth 70 cm

from the ground. How far does his

tongue have to stretch to eat the

fly??

a2+b2=c2

1.32+1.52=c2

1.69+2.25=c2

squareroot3.94=c2

squareroot3.94=c

Part 4:

My Question

The mouse slid down the cheese, he wants
to find out how far he sled. He knew
that the hight of the cheese was 10 cm,
and the length was 13 cm.
What is the missing hypoteneuse?

Tier's Pythagoras Growing Post

2008-03-19T17:27:00.014-05:00

Part1:
What's the Pythagorean triple?
For those of you who are familiar with the Pythagorean theorem, you might have came across this during your investigations.
But for those of you who aren't, a Pythagorean triple is a set of 3 numbers. In that set of numbers, when all of them are squared, adding the two lowest numbers will equal the remaining number.
*Note: after squaring, the resulting numbers must all be whole number.*

For Example, 3, 4, 5 is a Pythagorean triple.

To figure out if this set is one of the Pythagorean triple, we need to find out if the two lowest numbers squared will equal the highest number squared.

first, the formula, then we apply the measurements, then we squared the numbers that required squaring. then add a and b together.
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25

if the answers below equal each other, the set is one of the Pythagorean triple.

There are other sets of Pythagorean triple too.
Some of them are 6, 8, 10 and 12, 16, 20. Try them out!

Part2:
How to find the missing Hypotenuse
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Finding to missing leg:
*My Computer Won't upload the Pictures to bubbleshare, sorry.*

Its basically similar to how to find the missing hypotenuse, but instead of the formula: a2 + b2 = c2. The formula used is either c2 - a2 = b2 or c2 - b2 = a2.
pretend these are the givens:
c= 5
b= 4
a= ?

because were trying to find the missing leg a, we use the formula c2 - b2 = a2.

c2 - b2 = a2
52 - 42 = a2
25 - 16 = a2
9 = a2
3 = a

Part3:
You`re 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 you 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?

Start With the Formula:
a2 + b2 = c2

a= 25
b= 10
c= ?

a2 + b2 = c2
252 + 102 = c2
625 + 100 = c2
725 = c2
26.92 = c

Part 4:
Lucas wanted to attack Mario with his magic called "PK Thunder". Since Mario is on top of a 19 feet cliff and Lucas was 20 feet away from the cliff with 3 feet long spikes between them, he has to attack from far away. Magic's starting point is from Lucas' hands which is the same height as the spikes from the ground. How long does Lucas' attack have to travel?

Karen's Scribe!

2008-03-19T15:49:00.009-05:00

Today in class we had to finish our find our missing piece tab, in our pythagoras booklet. We had three questions and this one was one of the questions that we had to do.

Using the square numbers from 12² - 20² to find a Pythagorean Triple.

Our class figured that 12, 13, and 20 we the number that worked for a Pythagorean Triple.

Paul's Pythagoras Growing Post

2008-03-18T21:37:00.009-05:00

What is a Pythagorean Triple?
a Pythagorean Triple is a right triangle
which involve 2 legs, which are A and B,
and the hypotenuse which is the C, and
it uses a formula of a²+b²=c²

The Perfect Square chart Also Helps me !

Problem B
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?

Since they had to throw from 1st base to 3rd base. When you put a line across you can see the triangle. Once you can see the triangle you can be able to figure out the answer for the question.

Ash wanted to catch a Treecko, but it was all the way on the top of the tree. The tree was 6m tall. Ash was 4m away from the tree and from the pokeball down was 250cm. How far does Ash have to throw his pokeball for him to get the Treecko?

- paul l

Nicks Scribe

2008-03-18T18:14:00.006-05:00

Today we did some word problems in class.
I will be giving you the answers to worksheet
A. First, follow the Pythagoream theorem.

A2 + B2 = C2
25,2 + 10,2 = C2
625 + 100 = 725
725/ = 26.925

729-676= 53
725-676=49
26 49/53

And there is your answer!!!

Erick's Pythagoras Growing Post

2008-03-18T16:27:00.008-05:00

A Pythagorean Triple is three unknown numbers, A, B, and C that satisfy a2+b2=c2 is a pythagorean triple.

a2+b2=c2

This example shows, - 6squared + 8squared = 10squared

6squared = (6x6=) 36 = a2

8squared = (8x8=) = 64 b2

10squared = (10x10=) = 100 c2

SO THE QUESTION , IF YOU THINK ABOUT IT, IS REALLY

36 + 64 = 100

Part 2:

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great Clip Art Images.

Part 3:
This is Word porblem A

You`re 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 you 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?

Now we start with the formula:
a2 +b2= c2

Now Heres what it looks like in the right triangle.

Now we simply do all the math work.

a2 + b2 = c2
25 squared + 10 squared = c2
625 + 100 = c2
725 = c2
Square root 725 to get c

c = 26.92

Part 4
My Word Problem Example

So Sora is done his adventure and comes across a keyhole. He is 10 meters away from it. The keyhole is 20 meters high. Sora is 4 meters tall. His Keyblade can fit exactly into the keyhole from the distance he is standing from. How long is his Keyblade?

Key Info...
10 meters away
Keyhole 20 meters High
Sora 4 meters Tall

judy's scribe

2008-03-18T16:05:00.009-05:00

Today in class, we finished our "Word Problems" tab in our Pythagoras book. We added 3 more word problems, known as problem A, problem B, and the bonus problem. I'm going to scribe about problem B:
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?

What are we trying to find? The distance from the first base to the third base.

1/2 of the diamond is a right angle triangle, and the length of two sides are given. That means we can use the Pythagorean theorem to find the distance from first base to third base.

(The side that we are trying to find is across the right angle, so it's the hypotenuse, c.)
formula to find the hypotenuse:
a² + b² = c²
we know that...
a=90
b=90
c=?
plug in the numbers, and follow the formula:
a² + b² = c²
90²+ 90²= c²
8100+8100=c²
16 200=c²
..........then you have to find the square root of 16 200 to find the square root of c², which is c
√16 200 = √c²
127.27= c

You'll have to throw the ball 127.27ft to get it from first base to third base.

Pythagoras Growing Post - gaiLc817

2008-03-17T19:24:00.015-05:00

Part 1:

What is a Pythagorean Triple?

A Pythagorean Triple is 3 unknown A, B, and C.
A and B are the two legs and C is the hypotenuse.
and use the formula: a2 + b2 = c2.

The Perfect Square Chart can Help

Part 2:

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Part 3
Le Frog
Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

<------------------ Picture

Part 4
Create a Word Problem

Rubber Man, is 2.5 meters away from the wall, and the lamp beside him is 1.5 meters tall, and the diamond he needs to get is 4 meters high from the sealing. How far does he have to stretch to get the diamond, from the lamp size?

Jurrell's Pythagoras Growing Post

2008-03-17T18:55:00.007-05:00

What is a Pythagorean Triple ?

This image shows that 6squared + 8squared = 10squared

A Pythagorean Triple is three unknown numbers, A, B, and C that satisfy a2+b2=c2 is a pythagorean triple.

6squared = 36 (6x6=36)

8squared = 36 (8x8=64)

10squared = 100 (10x10=-100)

This questions is saying, 36 + 64 = 100

How to Find the Hypotenuse/Missing Side.

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Word Problem: Baseball

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

All i did was I followed the formula, A2 + B2 = C2, and the distance from 1st base to 3 base is the hypotenuse on the field. So what you have to do is square the numbers then them altogether, and finally square the answer of all the added numbers. The number that you get from squaring the sum of all the number is how much you have to throw the ball in order to get the other team out.

THE WAY I GOT IT:

a = 90squared

b = 90 squared

C = ???

90squared = 8,100

a2 = 8,100

b2 = 8,100

8,100 + 8,100 = c2

8,100 +8,100 = 16,200

Squareroot of 16,200 = c2

c = 127.28

Now in order to get the runner out you have to throw the ball 127.28 ft. (DISTANCE FROM 1ST BASE TO 3RD BASE IS 127.28)

Create Your Own Word Problem.

Devin was walking from practice one day, when walked 10 ft. a dog came out of a bush and chased him all the way to 7/11. So if 7/11 was only 6ft. from his practice facility then how far did the dog chase Devin from the bush to 7/11?

Kylee's Pythagoras Growing Post

2008-03-16T20:07:00.014-05:00

THE PYTHAGOREAN THEREOM!!!!!

Question #1

A, B, and C are the numbers that are used for the pythagorean triple. A pythagorean triple is when you have a right angle triangle and it's formula is a²+b²=c². The C is always the hypotenuse. A and B can be either leg except not on the hypotenuse leg. The hypotenuse is the side where the right angle is pointing to the leg.

In this picture shown on the left. I drew 3 squares that are all joined together making a triangle in the middle of them.

In the 3 squares there are 3 numbers. Each square has a number in it.

a=6²

b=8²

c=10²

Then after you have all of that you have to times all of the numbers by two, because of their squared. 6²=36, 8²=64, and 10²=100. Those are what all of those numbers are equaled to.

Question #2

This is the website with my voicethread on it. The voice thread has How to Find the Missing Leg and How to Find the Missing Hypotenuse.

http://voicethread.com/share/84854/

Question #3

Le Frog

Le Frog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

Question #4

Sylvester the Cat is very

sneaky. He thinks that he can get tweety bird out of it's cage without tweety even noticing. To get tweety bird Sylvester has to get there. There are 2 legs one labeled 5m the other labelled 2.1m. How far will Sylvester have to go to get tweety bird?

Israelie's Pythagoras Growing Post

2008-03-16T18:54:00.019-05:00

PART 2:

PART 3:
Question: Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

PART 4:

Bob got his ball stuck in a tree. The tree was 14 m tall. and he was 7 m away from the tree. from his hand down was 140cm. How far does Bob have to reach to get the ball??

Exequelle's Pythagoras Growing Post

2008-03-16T17:33:00.012-05:00

Question 1:

A Pythagorean Triple is three unknown numbers, A, B, and C that satisfy a2+b2=c2 is a pythagorean triple.

This images shows that 3squared + 4squared = 5squared.

3squared = (3x3)= 9
4squared= (4x4)= 16

5squared= (5x5)= 25

So the questions is really 9 + 16 = 25.

Question 2: Find a Missing Leg/Hypotenuse

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Question 3: 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?

I just followed the formula, and the distance from 1st to 3rd is the hypotenuse. So you just have to go A + B = C. So all you have to do is square the numbers then add them, then find the square root of that number. Then that would be how far you would have to throw it in feet.
This is the work I did:
A2 = 90(2)
B2 = 90(2)
C = ?
90(2) = 8100
A2 = 8100
B2 = 8100
8100 + 8100 = C
8100 + 8100 = 16200
SquareRoot of 16200 = C2
C2 = 127.28

So the answer to the question is: To throw the ball from 1st base to 3rd base is 127.28 feet. So you have to throw the ball that far to get the runner out.

Question 4: Make Your Own Question

Fred and his buddy Shrek are going shopping at Extremo Shopping Centre of Doom. Shrek goes all the way to the top of an escalator, that is 4 meters high.The base of the escalator is 2 meters long. Fred is standing 55 cm, away from the escalator. How far is Fred standing from Shrek? (Round to two decimals.)

Justin's Pythagoras Growing Post

2008-03-16T17:10:00.008-05:00

Question 1:What is a Pythagorean Triple?

Three unknown numbers, a, b, and c that satisfy a²+b²=c² is a pythagorean triple.

example
a=6 b=8 c=10
so its a²+b²=c²
6²+8²=10²
36+64=10

Question 2: Find the missing side/Hypotenuse

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Question 3: Problem A
Lefrog:

Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?(click the picture to enlarge it) answer: Lefrog's tongue has to stretch 1.98m to eat the fly.explanation: First we had to find out what our formula was going to be. For this question it would be a²+b²=c². Then we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it, and then that gives you the answer to this question which was 1.98m.

Question 4:Word Problem

Today Spongebob wants to play baseball with his bestfriend Patrick. Patrick is 6 meters tall. If Spongebob is 5 meters away from Patrick and lets go of the ball 3 meters high , how far does Spongebob have to throw the ball to get it to Patrick?

Jordan's Scribepost

2008-03-16T11:27:00.008-05:00

The Pythagorean Theorem

In class we learned about the Pythagorean theorem. It states that a2 + b2 = c2 as shown in the picture. The 2 legs ( a and b ) squared are equal to line c squared which is also known as the hypotenuse because it is opposite the right angle.

Also if you take a2 and b2 you can fit them onto c2. Like so:

Now for figure 3 you have to use a grid and cut up 3 squared to make it fit on the rest of 5 squared.

That is how you show that a2 + b2 = c2

Karen's Scribe

2008-03-15T12:52:00.016-05:00

In class we finished our Pythagoras tab thing.

We started by finishing the Proof #1 tab.

Using the dotted paper we cut out 3x3, 4x4, and 5x5 squares.

After we put the squares together to make a right angle triangle in the middle.

The we showed how 3²+4²= 5² . This follows the formula a²+b²= c²

Then we had to cut out another 3x3, 4x4, and 5x5. We had to color 3x3 and 5x5 the same color. After we had to glue the 4x4 on top of the 5x5.

It should look like this. We had to describe what it could be showing. Like a little math formula its showing.

Here its showing that the 4² covering the 5². When you look at it you can say that the formula your seeing is: 5² - 4² = 3² or c² - b² = a²

After this tab we started on a new tab called Find the missing side.

The pythatgorean theorem a² + b² = c² can be rearranged and written:

Then we got a picuture and we had to figure out what the answer was.

Here is what were going to do..
Fill in what you know....
Now change the square numbers into what they equal..
Then you subtract the numbers...

Find the square root....
Then the square root equals B!

Josephine's Pythagoras Growing Post

2008-03-13T23:08:00.020-05:00

What is a Pythagorean Thereom??

A pythogorean thereom is three unknown numbers: a , b and c. And they obey the following relationship a² + b² = c². A & B are both legs and C is the hypotenuse.

Formula: a² + b² = c²

Example/Diagram:
a = 8 b = 6 c = 10
8² + 6² = 10²
64 + 36 = 100

Explanation:
8²+ 6² = 10² because as you can see in the box/square of 10² there is a shaded part of the square and it equals 6squared (shaded in yellow, 36 squares) so the remainder which is the white part equals 8² (white part of square, 64 squares) and if you add them together they pretty much make up 100 squares which is also 10². (the squares that make up 6² and 8² can also make up 10² if they are added together)

How to find the missing Leg/Hypotenuse:

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Lefrog:

Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

>>>click for bigger picture
answer: Lefrog's tongue has to stretch 1.98m to eat the fly.
explanation: First we had to find out what our formula was going to be. For this question it would be a²+b²=c². Then we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it, and then that gives you the answer to this question which was 1.98m.

Word Problem:

Chococat wants a chocolate cookie for dessert. So if he is standing 6m from the table and the cookie is on the table which is 8m high. How high does Chococat have to reach to get the cookie?

>>>click for bigger picture

Kathleen's Pythagoras Growing Post

2008-03-13T21:41:00.012-05:00

Pythagorean Triple

What is a Pythagorean Triple?

Three unknown numbers a, b, & c that satisfy a2 + b2 = c2 is a Pythagorean Triple.
**Most of the time they will give us what is a2 but not b2 and c2

For example
a=6 a2 = 63 b=8 b2 = 64 c=1o c2 = 100

a2 + b2 = c2
36 + 64 = 100

The picture of the pythagorean triple would look similar to this:

Part Two:

Part Three:

Lefrog

Question: Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

Summary: First we had to find out what our formula was going to be. For this question it would be a²+b²=c². Then we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it, and then that gives you the answer to this question which was 1.98m.

Answer: Lefrog's tongue would have too stretch 1.98m to eat the fly

MATH WORK:

a= 2m - 0.7

= 1.3m

b= 1.5m

c= ?

use the formula:

a squared + b squared = c squared

1.3 + 1.5 = c squared

1.69 + 2.25 = c squared

c squared = 3.94

Squareroot 3.94 = 1.98m squared

c= 1.98m2

Part Four

Question:

Cindy went to climb up the slide. The slide has an 90 degree angle. She wanted to know how far she wanted to slide down. She knows at the height of the slide is 2 m and the length of the slide is 4. How far does she slide down? What is the missing hypotenuse?

Jerome's Pythagorus gorwing post

2008-03-13T20:46:00.006-05:00

Pythagorus Triple

What is a pythago

Three unknown numbers, a, b, and c that satisfy a2+b2=c2 is a pythagorean triple

heres an example

a=6 b=8 c=10

so its a2+b2=c2

6(squared)+8(squared)=10(squared)

36+64=100

Question 2

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Question 3

Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

Okie first we must know what our formula is going to be which is A2+b2+c2 . we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it.

The answer in the end was 1.98m

question 4

Spongebob has just found his arm. It is on his um Spatula. He is 1.8m away from it and it is 3m high. Spongebob Stands 50 cm tall. How far would he have to reach with his nose, thats right his nose to reach his arm?

Karen's Pythagoras Growing Post

2008-03-13T20:12:00.023-05:00

The pythagorean theorem states that the legs (a and b) and the hypotonuse (c) obey the following relationships a² +b² = c².

a²+b² = c²

Thats what you are doing when doing a pythagorean triple. You add the a² and b² to equal the c².

A² + B² = C²

6² + 8² = 10²

36 + 64 = 100

A = 6² = 36
B = 8² = 64
C = 10² = 100

So here we had 36+64 which equals 100. Which follows : A² + B² = C², so its a pythagorean triple.

We used perfect square charts to help us with a Pythagorean Triple.

Pythagoras Word Problem
Problem B
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?

Now that we know what the triangle is we can use the theorem and figure out what c equals
to.

Suzie was getting a box on top of her fridge. Her fridge was 5m tall. Her hand was 4m away from the fridge. From her hand down it was 150cm. How far does Suzie need to reach for her to get the box. Answer to the nearest hundredth.

alicia's pythagoras growing post

2008-03-13T13:53:00.027-05:00

WHAT IS A PYTHAGOREAN THEORUM?

A pythagorean triple are three unknown numbers: a , b and c that satisfy a2+b2=c2. Another pythagorean triple other than 3 , 4 and 5 is 6 , 8 , and 10.

a=6 -> a2=36 (6 x 6 = 36)
b=8 -> b2=64 (8 x 8 = 64)
c=10 -> c2=100 (10 x 10 = 100)

a2 + b2 = c2
36 + 64 = 100

picture:

QUESTION 2:

BubbleShare:

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BubbleShare: Share

photos - Find great Clip Art Images.

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?

Question 4

"Sean is standing 16ft away from a 10ft tall basket. How far does he have to shoot to get the ball into the basket?"

b

Kevin's Pythagoras Growing Post

2008-03-13T09:33:00.018-05:00

?? What is the Pythagorean therom ??

Three unknown numbers, a, b, and c that satisfy a2+b2=c2 is a pythagorean triple.
lets say that we have a2 + b2 = c2
A2 is 6 but we dont know the other b2 and c2

A2 = 6

B2 = ?
C2 = ?

{ Lets say that we know what all of these are. }

A2 = 6
B2 = 3

C2 = 8

Diagram: .......

This is what it would look like if we drew it with the Pythagoram Theroem.

This is my bubble share on how to find a missing leg,and hypoteneuse. It is going to explain the process to find the missing.....

BubbleShare: Share photos - Powered by BubbleShare

March 18

In class today we worked on word problems. Each of our table groups had a problem either A, or B. Once we figured it out in our green paper we went to a diffrent group with the opposite problem and shared how we got the answer.

My group worked on question A and we came up with this answer....

Our problem was to find a missing Hypotenuse.
If you are locked out of your house you have to get a ladder from yournabour.
your window is 25ft high above the ground and you place the ladder 10 ft away
from the house what would be our missing lenght?

We started by finding out what our formula is going to be.
a2 + b2 = c2
We are using this fromula because we are
finding a missing Hypotinuese.

a2 = 25 2
b2 = 10 2
c2 = ?

25 2 = 625
10 2 = 100
c 2 = ????

Now we can add what we know which is 625 and 100.
625 + 100 = 725

There fore:
625 + 100 = 725
c = 725

The square root of 725 is c
Now we - 729 and 676 to get the denominator.

26 ? / 35
Our numerator is going to be...
725 - 676 = 49

26 49 / 35 Now we can make this into a decimal estimated to the nearest hundredth.

26 . 92

Diagram .....

Our FINAL answer !

This is the final part of our Pythagoras growing post. This is the question i thought of....

An Architect is designing a cottage and he needs two windows to fit in the top right and left hand corner of the roof. He knows A, which is equal to 5 and B, is equal to 7 but he dosent know the measurement of the last angle. What is the hypotneuse??

Jordan's Pythagoras Growing Post

2008-03-12T18:52:00.012-05:00

!!!Pythagorean Triple!!!

OK, lets say that we know what "a" is equal to but we don't know what "b" or "c" is equal to. Lets say that "a" is equal to 3.

a = 3
b = ?
c = ?

The Pythagorean theorem states the a2 + b2 = c2. ( 2 means squared...) So what we have to do to figure out "b" and "c" using that theorem. So since we know what "a" is .......3 that means we have to square 3 which is 9. so we know that 9 + the square root of some number is equal to the square root of another number. Lets try 4. 4 (squared) is 16. 9 + 16 = ?......25. Now we need to find a number who's square root is 25. That's an easy one, 5. So this is what we know now.

a = 3
b = 4
c = 5

Now that we know all that, this is our formula: a2 + b2 = c2
32 + 42 = 52 ( 2 means squared)
9 + 16 = 25

This is what it would look like using a right angle triangle with the angles ( 3,4 and 5) normal and squared:

Part 2

To find the missing angle of a right angle triangle, first you need aright angle triangle with the other two angles....

Like so...

Also you should know that a2 + b2 = c2 can be rearranged and written like c2 - b2 = a2 or
c2 - a2 = b2.

Using Pythagoras's theory this is how you would find the missing angle.

c2 - a2 = b2
42 - 22 = b2
16 - 4 = b2
12 = b2
square root of 12 = 3.46410162
3.46410162 = b

Part 3

I am going to show the house word problem.

Here is the question:

You`re 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 you 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?

This is how I solved it:

I used that picture to help me.

Then i wrote the formula and solved the question.

2 2 2
a + b = c
2 2 2
25 + 10 = c
2
625 + 100 = c
2
725 = c
2
(square root symbol) 725 = (square root symbol) c

26.92 = c

That's how I solved that question.

Part 4

My word problem:

"Joey is a wrecking ball operator and his next contract is to knock down a building on 21st street in New York. Since there are a lot of buildings around the building he has to take down Joey has to knock the building over with a perfect hit meaning it will come over in one hit and less debris will go flying all over the place. After a visit to the site he draws out the best place to hit the building.

He knows that the wire coming off the vehicle is 33cm long and that the wire holding the ball is 46cm long. The problem is that he doesn't know how far from the building he has to be.

How far does Joey have to be from the building?
( round your anwser to 2 decimal places and show a faction estimation)

Judy's Pythagoras Growing Post

2008-03-12T16:23:00.020-05:00

Question 1

What is a Pythagorean Triple?
Three unknown numbers, a, b, and c that satisfy a2+b2=c2 is a pythagorean triple.

example:
a=6 b=8 c=10
a2+b2=c2
6(squared)+8(squared)=10(squared)
36+64=100
100=100

Question 2
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question 3

Problem B

What are we trying to find? The distance from the first base to the third base.

1/2 of the diamond is a right angle triangle, and the length of two sides are given. That means we can use the Pythagorean theorem to find the distance from first base to third base.

You'll have to throw the ball 127.27ft to get it from first base to third base.

Question 4
Timothy is fishing at camp Lots-of-Fun :). His fishing pole is 3ft long, and it's line is 4ft. Suddenly, he feels something pulling on his line, and realizes he caught a fish. How far is Timothy from the fish?

Kathleen's Scribe!

2008-03-11T17:14:00.009-05:00

Today in class we are learning a new unit called Pythagoras.

I am a Right Angled Triangle

In a right angle triangle the square angle points to the hypotenuse . The hypotenuse is always c but a & b can be used to label either leg.

In many cases the Right Angle will have it's legs labelled a and b and the hypotenuse.

The Pythagorean Theorem

The pythagoras theorem states that the legs (a & b) and the hypotenuse (c) obey the following relationship ..

The Great Sphinx Of Giza

2008-02-27T12:31:00.000-06:00

This is my Social Studies project on tghe
Great Sphinx Of Giza.
Click on the image to play.

Kevin Partyka

My skills Work

2008-02-27T11:57:00.002-06:00

My movie on Pythagoras

My skills assignment

2008-02-27T11:52:00.003-06:00

Pythagoras movie

JR'S SCRIBE

2008-02-05T17:53:00.000-06:00

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

Charmaine's Scribe

2008-02-04T17:28:00.000-06:00

Charmaine and Kathleen's Scribe

Today in class we learned about dividing fractions and
how to do it correctly. We used a ratio table method to
solve these questions that we are about give you.

Now we are going to answer these questions together
one step at a time:
step one;

Make a ratio table and make the two signs cans/rooms

We showed all the steps in the voicethread and sort of try to explain
the steps on the easiest way possible.

By Charmaine And Kathleen

2008-02-02T16:56:00.000-06:00

Today we worked with the number 4 :) we were supposed to use four 4's and make math equations that equaled numbers 0 - 9.
for example: for the number 0, you can do:
44 - 44 = 0 <-- there are four 4's in this equation :):)

0: 44 - 44 = 0 OR 44 - 44 = 0
1: 4 / 4 + 4 - 4 = 1 OR 44 / 44 = 1
2: (4 / 4 ) + ( 4 / 4 ) = 2
3: ( 4+ 4+ 4 ) / 4 = 3 OR 4 x 4 - 4 / 4 = 3
4: [ ( 4 - 4 ) 4 ] + 4 = 4 OR 4 x 4 / *the square root of* 4 - 4 = 4
5: 4 x 4 + 4 / 4 = 5 OR [ ( 4 x 4 ) + 4 ] / 4 = 5
6: ( 4 + 4 ) / 4 + 4 = 6
7: ( 44 / 4 ) - 4 = 7
8: 4 - 4 + 4 + 4 = 8
9: 4 / 4 + 4 + 4 = 9

done. :)

Gail's Scribe !

2008-02-01T12:04:00.000-06:00

Question 11

The Questions was:
Half a can of paint covers 1/3 of a room. How much paint is needed to cover the whole room?

1/3 = half can of paint
2/3 = whole can of paint
3/3 = one whole and one half paint cans.

You need one whole and one half paint cans to paint the whole wall.

Ratio Table:

IsRaeLie's ScribePost

2008-01-31T20:52:00.000-06:00

Questions 1-4:))

Question #1:

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day. How much time should we spend sleeping?

Question #2

The National History Museum has collected 125 dinosaurs. George has collected 3/5 of this amount. How many dinosaurs has George collected?

Question #3

Mr. Murrin is 160cm tall and his brother Tom is 7/8 as tall as him. How tall is Tom?

Question #4

The weather forecaster says that it is 20° C in London but only 7/10 as hot in New York. How hot is it in New York?

THE END!

Jordan's ScribePost

2008-01-31T16:25:00.000-06:00

Ok, I am going to show questions and answers 5-8 from 2 days ago with Mr.Bartz.

Question 5:

Skateboards cost $36 each in my local store. The shopkeeper says if I buy 1 I can get another for only 7/9 of the normal price. How much would a second skateboard cost?

This is my math work: 36 divided by 9 = 4 x 7 = 28

The second skateboard would cost $28.

6. Billy collected 256 conkers but lost ? (use any number you want, I'm using 167) on his way to school through a hole in his bag. When he arrived at school how many conkers did billy have left?

256 - 167 = 89

Billy has 89 conkers left.

7. There are 25 pupils in the class. 3/5 of the pupils support Chelsea and the remainder of the class supports Arsenal. How many pupils support Arsenal?

25 divided by 5 = 5 x 2 = 10

10 people support Arsenal.

8. The local shop normally sells Mars bars for 40 pence. The shopkeeper says I can buy them for 1/4 less then the normal price. How much can i buy a Mars bar for?

40 - 10 (40 - 1/4) = 30

You can buy a Mars bar for 30 pence.

END

Kevin's Test Scribe

2008-01-24T15:44:00.000-06:00

January 24, 2008.

Today in class we had a test on fractions.
It was a mixed test with adding, subtracting,
and multiplying. There was 4 questions and
in this scribe 2 of them our solved.

Now we are going to solve one of the answers together step by step.

7 / 8 x 4 / 5 =

When we multiply fractions we don't have to find a common denominator, all we have to do is multiply the denominators and the numerators.

8 x 5 = 40 ( denominator 40 )

7 x 4 = 28 ( numerator 28 )

Now our fraction is....

28 / 40 , But can we reduce that?

40 and 28 are both divisible by 4.

28 divided by 4 is 7

40 divided by 4 is 10.

OUR FINAL ANSWER IS........

7 / 10

------------------------------------------------------------------
Our next question is.....
2 2 / 3 x 4 1 / 2 =

Since we have a mixed fractions we have to
convert the fraction in to an improper fraction.
2 2 / 3 = 8 / 3
3 x 2 + 2 = 8

Now our new fractions are 8 / 3 x 9 / 2 =
4 1 / 2 = 9 / 2
2 x 4 = 1 = 9

The next step is multiply the numerators and the denominators.

8 x 9 = 72 3 x 2 = 6

72 / 6

The next part is to convert the
improper fraction into a mixed
fraction.

Since our denominator goes into the numerator evenly we are left with a whole number, witch is our answer.

OUR FINAL ANSWER IS.......

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

Ericks scribe

2008-01-23T21:12:00.000-06:00

In class today we learned about multiplying fractions.

(For example in class we did 2 11/13 x 3 3/4)

First we convert the mixed fraction to improper fractions(small denominator big numerator).

((P.s the easy way to get a improper fraction is
Denominator x whole number + numerator= improper fraction

Okay so now the problem should now be
7/3 x 15/4

Now we have to multiply the numerators

But wait..... 7 x 15???? too much work sooo we do the wife swap so now its 15 /3 x 7/4 orrr 5/1 x 7/4. Nowww its 5 x 7 or 35!!!!

Now we multiply the denominators!!!

Now this will be pretty easy 1 x 4 = 4

Nowwww what you all have been waiting for ... the answer is ... 35/4????

And thats when we go to our final step which is....

* ALL ANSWERS MUST BE MIXED FRACTIONS!!!!

soo we do THIS....!!!!???

And our new answer is gonna be 8 3/4
So to summerize what we have learned,....
1. we have converted mixed numbers into improper numbers,....

2.we have multiplied numerators (and we also learned the numerator swap or "Wife Swap",.....

3.and we have converted a mixed fraction back into a improper fraction using the long division trick..

and i think thats the end of my scribe take cake PEACE!!!

Justin's Scribe

2008-01-22T21:45:00.000-06:00

In Class today we learned that we could switch the numerators to different denominators.
eg. 2/15 x 100/3=
Switched: 100/15 x 2/3=
We also talked about the multiplying the denominator's and numerators.
eg.

We also Checked the homework and we(me)figured out how to make the squares.
eg. 2/3 x 1/2
And For homework we got questions to do.

1. 2/5 x 1/4 =?

2. 3/7 x 1/6 =?

3. 7/8 x 2/3 =?

4. 3/5 x 15/16 =?

5. 4/15 x 5/8 =?

6. 3/10 x 5/6 =?

7. 2/3 x 9/20 =?

8. 4/5 x 1/5 =?

9. 8/9 x 1/12 =?

10. 3/8 x 8/15 =?

11. 2/15 x 100/3 =?

Jordan's ScribePost

2008-01-21T15:44:00.000-06:00

Today in class we learned a few new ways to multiply fractions

1: The first way was using a Array Model for example 2/3 x 1/2 would be shown like that-------------------------------------------------->

2: Another way was that we used standard form which is multiplying both numerators and multiplying both denominators to get the anwser for example

Also Kyle showed us a way which is if you have 1/2 x 1/5 you just switch the numerators/ denominators like so to make the multiplying easier..........................

Homework for today were some multiplying questions listed below

Show 2 Different ways for each!!!!

1/2 x 1/4
3/10 x 1/2
2/3 x 3/4
2/5 x 1/3
3/4 x 5/7
2/3 x 3/4
5/6 x 4/5
3/8 x 1/3
1/2 x 1/2
3/5 x 1/4
2/3 x 5/12

End Of ScribePost

Tier's Scribe Post

2008-01-16T16:20:00.000-06:00

Today in class, we were introduced to a new investigation. The investigation was explained to us in a SlideShare exactly like the one below.

| View | Upload your own

As the SlideShare said, there are two lots with the same measurement in Brooklyn where playgrounds are going to be constructed. One lot is in a neighborhood called Carroll Gardens and the other one is in a neighborhood called Flatbush.
The plan for Carroll Gardens was, 3/4 of the empty lot will be a playground. And 2/5 of that playground will be a blacktop.
As for Flatbush, the plan was to construct a playground 2/5 of the lot. And 3/4 of that playground will be a blacktop.

At the end of the slideshow, we were asked these three questions:
- Is one neighborhood getting more blcktop than the other?
- Is there more blacktop space in one lot than the other lot?
- How would you convince the people in the two neighborhoods that your conclusion is correct?

gail's scibe

2008-01-13T20:08:00.000-06:00

I did my scribe using the "voice thread" :)