873 Math (2007)

Janns Scribe

2008-05-14T19:12:00.003-05:00

Hi, My scribe today is about that sheet that Mr . Harbeck told us to answer. The sheet I got was page 48 so if my questions are different than yours... too bad.

1. Enigma is __57___ old
Let x = age
- 1/3 x - 5 = 14
- x/3 - 5 = 14 + 5
- x = 19 x 3
- x= 57
- x/3 - 5 = 14
- 57/3 - 5 = 14
- 14 = 14

3. She rented ___26___ movies
Let x = movies
- 3x + 12 = 90
- 3x + 12 = 90 - 12
- x = 78/3
- x = 26
- 3x - 12 = 90
- 3(26) + 12 = 90
- 90 = 90

6. He ate ___22___ Chips
Let x = Chips
- 12x + 375 = 639
- 12x + 375 = 639 - 375
- x = 264/12
- x = 22
- 12x + 375 = 639
- 12(22) + 375 = 639
- 639 = 639

8. It took __13 _ Min.
Let x = minutes
- 25x + 75 = 400
- 25x + 75 = 400 - 75
- x = 375/26
- x = 13
- 25x + 75 = 400
- 25 (13) + 75 = 400
- 400 = 400

9. They need ___10800 wrapping paper
Let x = Wrapping paper
- 1/2 x - 400 = 5000
- x/2 - 400 = 5000 + 400
- x = 4600 x 2
- x = 10800
- x/2 - 400 = 5000
- 10800/2 - 400 = 5000
- 5000=5000

Just comment if i did something wrong. Thanks!

Kadille's Scribe Post

2008-05-13T22:14:00.011-05:00

Geometric Problems

1. The length of the triangle is 3 times the width. the perimeter is 96 cm. Find the width and length. The sides are ____cm, _____cm. This is the diagram of the problem

This is to be done in solving this problem

let x = w. align all sides and their labels. place the perimeter is equal to 96. add all the sides of the rectangle and place it beside the perimeter. then solve for x

this is the solution of x. x = 12. i substitute the sides' label beside it resulting 3x to be 3(12). then simplify it ( 3 (12) to 36) and place it above the given perimeter or total. add the simplified length of each side to check if the total will be the given perimeter.
and to finish this problem, we must finish it by answering the simple question.

The sides are 36 cm, 12 cm.
Note: this is very important. you will lose most of the marks if this is not done.

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

simple sentence: the sides are ____m, _____m.

diagram:

align the sides with their labels beside them. include the perimeter under the line with its value 150 m far away beside it.

this is the solution of the problem.

then answer the simple sentence: the sides are 40m , and 35 m.

3. the first side of a triangle is 8 m shorter than the second side. the third side is 45 times as long as the first side. the perimeter is 2 m. find the length of each side.

the simple sentence is : the sides are ___m, ___m, ____m.

diagram:

this must be done to solve this problem

the solution of this problem

finish this problem by completing the simple sentence:

the sides are 3m, 11m, 12m.

4. the third side is 30 m shorter than twice the length of each congruent side. the perimeter is 570. find the length of each side

the sides are ___m, ____m, ____m.

diagram:

the steps are indicated to the previous problems.

finish this problem by completing the simple sentence:

the sides are 150m, 150m, 270m.

NADINE'S SCRIBE POST (PROBLEM SOLVING USING NUMBERS)

2008-05-13T16:56:00.026-05:00

Today in class, Mr. Harbeck taught us how to do a problem solving question. Now, I'm going to scribe how to do/answer a problem solving question using numbers.

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

The numbers are ____and____. (You can also write this at the end of the equation)

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 be like this:Let x = first #x + 4x = 50

5x = 50 (combined terms)

x = 10

The answer is 10, 40

You must write the formula x + 4x = 50

10 + 4(10) = 50

10 + 40 = 50

50 = 50

x = 10

4x = 40

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

The numbers are ____,____,and ____. (You can also write this at the end of the equation)
Two other # would equal x because we don't know anything about them.
let x = small # 1 and small # 2

x + 12 + x + x = 84
3x + 12 = 84 (combined terms)
-12 -123x = 72
x= 24
The answer is 36, 24, 24

4. The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.
The numbers are ____,and ____. (You can also write this at the end of the equation)
let x = first#

5 more than twice the first

2x + 5

the sum is 80

= 80

x + 2x + 5 = 80

3x + 5 = 80

- 5 -53

x = 75

3x = 25

2x+5 = 55

x = 25

The answer is 25, 55

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

The numbers are ____,and ____. (You can also write this at the end of the equation)

let x = second #

(7x + 4) + x = 92

8x + 4 = 92 (combined terms)

- 4 -4

8x = 88

8x = 11

(7x + 4) + x = 92

8(11) + 4 = 92

88 + 4 = 92

92 = 92x

= 117

x + 4 = 81

The answer is 11, 92

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.

The price is____. (You can also write this at the end of the equation)

Let x = bracelet

3x = Necklace

3x + x = 19

24x = 192

4x = $48 ($48.00)

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.

Kevin Y's Scribe

2008-05-06T20:04:00.004-05:00

My scribe is about Distributive Property

Terms that have the same variable parts are called like terms. The terms 2x, 4x, 5x are like terms. Unlike terms are 6x, 3x(squared), 4y. Only like terms can be combined.

To expand an expression with brackets means to remove the brackets by multiplying. This is done using the distributive property.

Distributive Property has 3 ways to do it.

For example for 3(y + 6)

Way #1

3(y + 6) = 3y + 4 x 6

= 3y + 18

Way #2

Way #3
x + 6
x + 6
x + 6
3x + 18

So Distrubtive Property is basicaly expanding the expression.
The best way to use distrubtive property will probably be Way #3 and #1 if Way #2 helps you understand better then use it.

Melissa's Scribe Post Equation Solving : Addition

2008-05-05T19:10:00.006-05:00

The steps for Equation Solving for addition

n+4=9

1.)

Isolate the variable

n+4= 9

2.)

Cancel the constant (integer) using its opposite to make

zero pairs.3.) BALANCE

4.) SUBSTITUTE TO CHECK

Ivanne's Scribe Post: Equation Solving (Multiplying & Dividing)

2008-05-05T17:49:00.010-05:00

The steps for doing this equation solving for multiplying and dividing are:

3n = 12

1.) Isolate using the variables

3n = 12

2.) Cancel using the opposite operation to make only 1 variable

3.) Balance the equation by substituting the value of n.

*i just put the steps 3 and 4 together...

Mariya's Scribe Post

2008-05-05T17:12:00.007-05:00

When Mr. Jerema came in and substitute for Mr. Harbeck, we did some work on algebra.

We had to do two questions on a piece of blue sheet that Mr. Jerema gave us and we had to draw a table, describe the recursive pattern, describe the functional pattern and do the algebraic equation. After doing all of that, we had to draw a graph on graph paper.

So, the first one we had to do was called Car Repairs. On Car Repairs, Mr. Jerema drew a graph on the board, that looked like this.

We then had to draw a table and describe the recursive pattern.

After that, we do the algebraic equation and we described it in words.

Our second one was called Harbeck's Training, and we had to do the same thing as Car Repairs, but with different numbers.

Graph of Harbeck's Training

Table and recursive pattern:

Algebraic equation and describing it in words.

Janns Scribe Post

2008-05-05T16:59:00.007-05:00

Sorry this scribe was waaay late

This scribe is about the algebra test 2.0 and ill tell you all about it and what the answers are!

This is part 1 of the test ill give you 3 possible answers for each one.

1) 2x-9 - 2 times a number decreased by 9
- twice a number decreased 9
- 2 groups of a numbers decreased by 9

2) 10-4x - 10 decreased by 4 times a number
- 10 decreased by 4 groups of a number
- 10 deminished by 4 sets of a number

3) 5(x-8) - 5 groups of the difference of a number and 8
- a number decreased by 8 times 5
- 5 times a number decreased by 8

4) 7(x+5) - 7 sets of the sum of a number and 5
- the sum of a number and 5 times 7
- a number combined with 5 times 7

This is part 2 of the test , there is only one answer possible for each
5) 6 centimeters more than two thirds of length X = 6 + 2/3 X
6) three times the sum of a number and 2 = 3(n+2)
7) nine decreased by 2 times a number = 9 - 2n
8) four less than five times a number = 5n - 4

This is the chart questions on the other page.

The following Graph shows the first 4 terms of a pattern

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

B) Write the algebraic Express for the relation ship between hours spent walking and the number of kilometres walked

- Hours x 4 -1 = Km walks
- 4x -1 = y
X = hours
Y= Km walked

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

50 = 4x - 1
= 4(200) - 1
= 199 Km

This test was out of 16. Thanks!

Marc's Scribe

2008-05-02T07:37:00.003-05:00

I <3>

Y Axis = Triangles:2 3 4 5 6 7

X Axis = Figure #: 1 2 3 4 5 6

Y = starts with 2 triangles and add one triangle per figure

X = Starts with figure one and adds 1 figure everytime

Recursive pattern

You add 1 to the figure # to make Y

Let X = Figure #

X + 1

I Got Steak In My Teeth:

Y Axis = Toothpicks: 3 5 7 9 11 13

X Axis = Figure #: 1 2 3 4 5 6

Y = Start with 3 toothpicks and add 2 toothpicks everytime

X = Start with figure one and add 1 figure number everytime

For each figure, you add two toothpicks from the last figure. Multiply the figure by two and add one

2x + 1 = Y

Angelo's Scribe of Test Number One

2008-05-01T19:28:00.007-05:00

On part one of the math test, we were given eight algebraic equations. Half were written out in numeric form, the other half, as written in words. For the numeric equations, we had to write down the correct word form for that equation. For example, the numerical equation would be 7x + 5x, and then we'd have to write it as seven times a number increased by 5 times a number. Like this:

When we were dealing with the written form, the equation would be like, nine centimeters less than 3/4 of length x. Then we'd have to write it into a numeric equation, which would be 3/4x - 9. Like this:

These type of questions ended the first part.

For Part Two, we were to complete a graph. We were given a graph and the first 3 figures of a pattern. The first 3 figures of the pattern were these:

The graph looked like this :
You had to fill three sides of the graph with the appropriate title.
We also had to create a T - Table showing our understanding of the pattern. It kind of looked like this :

After we completed the chart, and had it all filled out, we had to come up with an algebraic equation on how you would get from x to y. This was the equation needed:

You need to have the x equal the figure number and the y equal the number of squares. In our test these were what we needed to get the questions correct:

This ends the test, hope you guys learned a lot!!!

Alex's Scribe Post

2008-05-01T16:45:00.006-05:00

Algetiles

Today in class, Mr. Harbeck gave us small pieces of tiles. We call it Algetiles. We learned something new about algebra using algetiles, and it's something like this:

Terms
n = variable

+ and - = integer (constant)

By using algetiles, we can find out how an algebraic expression looks like.
Example:

Another Example

Think! What did I do to get rid of the coloured squares?

Alexandra's Scribe Post

2008-04-17T16:28:00.014-05:00

Surface Area of a Cylinder
SA= (πr²) + (2πrh) + (πr²)
The lenght of the rectangle is equal to the circumference of the circle.

Circumference (c) = πd (πxd) or 2πr (2xπxr)
radius (r) = distance (length) from the center to the outer ring.

pi (π) = is a constant and is aproximately equal to 3.14

diameter (d) = twice the length of the radius. (2r)

For example:

Volume of a Cylinder

Volume of a cylinder = area of base x height or πr² x h

For example:

Ivanne's Scribe Post

2008-04-17T16:25:00.008-05:00

CIRCUMFERENCE OF A CIRCLE...

Circumference (C) is the distance around the outer ring.
C = Pi x d or Pi2r/2Pir
Pi is a constant and is approximately equal to 3.14.
Picture

Example

Radius (r) is the distance from the center to the outer ring...
Picture

The diameter (d) of circle is twice the length of the radius...
D = 2 x r or 2r
Picture

Example

AREA OF A CIRCLE...
Area = Pi x r²
Pi = 3.14
Radius is the distance/length from the center to the outer ring...
Picture

Example

**just remember the formulas and it would be easy...

Kevin T's Scribe

2008-04-16T17:17:00.004-05:00

Todays class is about the surface area of a cylinder.

The Net of a cylinder

the cylinder has 3 shapes, 2 circles and a rectangle. To get the surface area of a cylinder follows this formula:

SA = (Pi x r²) + (2 x Pi x r) + ( Pi x r²)

In class we had a an example question: the height is 10 and the radius is 5. The circumference is the length of the rectangle so you get the area of the 3 shapes and add them together to ge the Surface area.

SA = (3.14 x 25) + (2 x 3.14 x 5) + ( 3.14 x 25)
= 78.5 + 314 + 78.5
= 417

alexandra's BOB

2008-04-15T23:12:00.005-05:00

Surface Area & Volume of a Rectangular Prism

Surface Area
S.A. = 2 (h x L) + 2 (L x w) + 2 (h x w)
h = 5cm
L = 10 cm
w = 2 cm

2 (5cm x 10cm) + 2 (10cm x 2cm) + 2 (5cm x 2cm) = 160cm²

WHY IS IT A SQUARED CM?
-The surface area of a rectangular prism is measured as SQUARED CM because a surface area has 2 dimensions.

Volume
V = L x w x h
L = 10cm
w = 2cm
h = 5cm

10cm x 2cm x 5cm = 100cm³
According to commutative property of multiplication, the order of the numbers that we multiply doesn't matter. That means, if you mix up the numbers, you'll still get the same answers.
eg: 10 x 2 x 5 = 100cm³
2 x 5 x 10 = 100cm³
5 x 2 x 10 = 100cm³

Here's another way:
(L x w) x h = Volume
(10cm x 2cm) x 5cm = 100cm³
(2cm x 5cm) x 10cm = 100cm³

WHY IS IT A CUBIC CM?
-The volume of a rectangular prism is measured as CUBIC CM because the volume of a certain rectangular prism has 3 dimensions.

Melissa's Bob

2008-04-15T21:45:00.006-05:00

In this bob I will be showing you about the surface area and the volume of a rectangular prism.....

The Surface Area.....

- How to find the top and bottom?

A= (LxW) + (LxW)

-How to find the front and back?

A=2(HxW)

- How to find the sides ?

A= 2(HxW)( This is the net of the rectangular prism looks like)

- To solve a for the surface area the you have to use a formula and the formula is....

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

- example:

H=2 cm

L= 3 cm
W= 4 cm

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

2(3 cm x 4 cm) + 2( 2 cm x 3 cm) + 2( 2 cm x 4 cm)

12 cm x 12 =144 cm

6 cm x 6 cm=36 cm

8 cm x 8 cm=64 cm

144 + 36 + 64 = 244 cm

SA = 244 cm squared

The volume.......

- The volume's formula is very simple ...

(LxW) x H

-example

L= 2 cm

H= 3 cm

W= 4 cm

v=(LxW) x H

v=(2 cm x 4 cm) x 3 cm

v=8 cm x 3 cm

v=24 squared cm

Kadille's B.O.B

2008-04-15T21:37:00.013-05:00

Finding the surface area of a cube and a rectangular prism,needs the illustration of the net and solve the problem based on the formula. in getting the volume also need formula. good thing in cubes are that they have same sides.

To represent this objects, we need to illustrate 3d images

Getting the surface area of a cube.

3d cube SA formula of the surface area of a cube

Solution in getting the surface area of a cube. i did this because it is easier. since cube has 6 sides with equal area, i multiplied each side with the same area to the number of sides that make up a cube.

Net of a cube

Getting the volume of a cube

formula of getting the volume of a cube. It can also be used in a rectangular prism.

the area of the base times height is commonly used in getting the volume of many shapes including triangular pyramids and excluding irregular shapes (i guess) Getting the volume of a cube or a rectangular prism is very easy. just multiply the area of the base, or length times width, then multiply it to the height.

In getting the volume of a rectangular prism, the formula is still the same, the formula is a lifetime formula.

Getting the volume of a rectangular prism

In this example, same formula is used and just solve it, the unit of the answer or the volume is called cubic centimetres

Getting the Surface area of a rectangular prism

As said, the formula is 2(lw)+2(hl) + 2(hw). it is the very common in getting the surface area of a rectangular prism.
by the way, the variables stands for:
l-length
w-width
h-height

net of a rectangular prism

Jomarie's BOB

2008-04-15T21:07:00.008-05:00

This BOB is all about how to find the volume and surface area of a cube and a rectangular prism.
Also the net of the 3-D object.

The step to finding out the surface area of a cube.

The Net

Example

Surface Area = 6(2cmx2cm)
= 24cm2

The step to finding out the volume of a cube
How to get the volume of a cube:

(LxWxH)

Example

L(2)xW(2)xH(2)

=2x2x2

=8cm3

The step to finding out the surface area of a rectangular prism

The Net

Example

Surface Area=

4(2cmx6cm) = 48cm2
+
2(2cmx2cm)
= 8cm2
______________________
56cm2

The step to finding out the volume of a rectangluar prism

(LxWxH)

L(2)xW(2)xH(6)

=2x2x6

=24cm3

Ivanne's BOB

2008-04-15T20:41:00.008-05:00

For this BOB, I will show you what I know about getting the surface area and volume of a rectangular prism...

SURFACE AREA...
In getting the surface area, you should know the formula on how to get the area of each side...Just remember that the front and back sides, the top and bottom sides, and the left and right sides have the same size or measurements...

Formula on how to get the area of the:
FaB = 2(Lxh)
TaB = 2(LxW)
LaR = 2(hxW)

L = 10 cm
h = 8 cm
W = 6 cm

FaB = 2(Lxh)
= 2(10 cm x 8 cm)
= 2(80 cm2)
= 160 cm2
TaB = 2(LxW)
= 2(10 cm x 6 cm)
=2(60 cm2)
= 120 cm2
LaR = 2(hxW)
= 2(8 cm x 6 cm)
= 2 (48cm2)
= 96 cm2
After you get the area of each side, you will add them all up...*You will times them by 2 since they have the same size...

SA = 160 cm2 + 120 cm2 + 96 cm2 = 376cm2

VOLUME...
In getting the volume, you just have to follow a simple formula...which is, LxWxh...

LxWxh
15 cm x 5 cm x 10 cm
750 cm3 = volume..

**sorry for the small pictures and some (or all) of the measurements actually don't look right for their sizes..

Angelo's B.O.B

2008-04-15T19:41:00.009-05:00

This blog is about the steps to find the surface area and the volume for a cube and a rectangular prism. When doing work for a cube or a rectangular prism you need to include the 3D diagram and their net.

This is the 3D version of a cube :

This is the cube's net :

This is an example of a rectangular prism :

This is it's net :

There are several ways to find a surface area for both of the shapes. One way for the cube is this :

It is clear that if you get the areas of each square in the cube you already can solve the surface area of the cube. You can solve the area of each side by multiplying the two different measurements that make the side. For example, if one side is made up by 2 lengths and 2 widths, you multiply the width and length together to get the area. So if you already have all the areas, just add all six sides together and get the Surface Area.

There are two steps used to solve both of the shapes. I used one of them on the cube.

All you have to do is find the base and multiply that answer with the height. To find the "base" of a shape, all you have to do is multiply it's length with the width.

Now moving on to the rectangular prism. The step I used for this shape can also be used on a cube.

This step take more time. If you multiply length and width, you are finding the area for the Top or the Bottom parts of the shape. If you multiply length and height, you are finding the area for the Front or Back. And if you multiply width and height, you obviously get the area for one of the two sides. Since there are six sides. Once you find the area for one side of the shape, times it by two to get the other side. For example, if you find the area for the Top, just multiply it by two so you can get the area for the Bottom also.
Yes, these steps on finding the volume of a rectangular prism can also be used to find the volume of a cube :

This explanation is quite simple. If you multiply the length and width, find the answer and multiply that to the height. Once your done that, you have solved the volume.

Now...you guys should know how to find the Surface Area and the Volume of a Cube and also a Rectangular Prism.

jordan's bob

2008-04-15T19:40:00.014-05:00

On this bob I'll be explaining how to get the surface area and volume of a cube and a rectangular prism and I'll also show you the net.
this is a cube:
L = length
H= Height
W= Width

this the net of a cube

how to find the surface area and volume of a cube.
To get the surface area of a cube first you have to find all the area of the squares in the net.
the cube has a equal sides, if all sides was 3 cm you just have to find the area of one box and all the box are the same.
like this:
you just have to add all the area.
9cm2 + 9cm2 + 9cm2 + 9cm2 + 9cm2 + 9cm2 = 54cm2
or
SA= 6 (9cm2)
= 54cm2

or
S.A=2(l x W) + 2(h x l) + 2(h x w)

Volume
Formula:
V=L x W x H
V=(3cm x 3cm )x 3cm
V=9cm x 3cm
V=27 cubic cm
Rectangular prism.

This is the net of rectangular prism looks like:
to get the surface area of rectangular prism you need to use the formula:
SA= 2 (l x w) + 2 (h x w) 2 + (h x l).

L = 5cm, W = 2cm, H = 6cm

SA= 2 (l x w) + 2 (h x w) + 2 (h x l)
SA= 2 (5cm x 2cm) + 2 (6cm x 2cm) + 2 (6cm x 5cm)
SA= 2 (25cm squared) + 2 (36cm squared) + 2 (30cm squared)
SA=625cm squared + 1296cm squared + 900cm squared
SA=2821cm squared

Volume formula:
V=(L x w)H
V=(5cm x 2cm)6cm
V=25cm x 6cm
V=150 cubic cm

CARL's BOB

2008-04-15T19:28:00.005-05:00

HOW TO SOLVE THE SURFACE AREA AND VOLUME OF A RECTANGULAR PRISM:

A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides.
How to find the surface area of Rectangular Prisms:
Find the area of two sides (Length x Height)2 sides
Find the area of adjacent sides (Width x Height)2 sides
Find the area of ends (Length x Width)2 ends
Add the three areas together to find the surface area
Example: The surface area of a rectangular prism 5 cm long, 3 cm. wide and 2 cm. high = (5 x 2)2 + (3 x 2)2 + (5x 3)2 = 20 + 12 + 30 = 62 cm2.

volume has a simple formula
v=lxwxh
v=5cmx3cmx2cm
v=30cm3

Jenna's BOB

2008-04-15T19:03:00.005-05:00

What i know all about surface area and the volume of a cube and rectangular prism:

Surface Area (SA): The extent of a 2-dimensional surface enclosed within a boundary.
Volume (V): The amount of space that and object or substance occupies.

To find out the surface area, first you have to make it into a net.
Find out the area of the top and bottom (L x W)
Find out the area of the front and back (H x L)
Find out the area of the sides (H x W)

To find out the Volume, you use the formula L x W x H

L = 5cm

W = 3cm
H = 10cm
- 5cm x 3cm x 10cm
V = 150 cubic cm

Karen's Bob

2008-04-15T18:53:00.009-05:00

On this BOB, I will be talking about the surface area and a volume of a rectangular prism and a cube. I will also show pictures so that it could make it easier to understand.

The surface area of a rectangular prism is covered with six rectangles.Although we don't have to figure out all six of them since top and bottom are the same, right and left are the same, and also front and back of it is the same. Height, lenght, width are the lenghts of the 3 sides.

The surface area of a cube is the area of six squares that covers the whole thing. The formula of the surface area of a rectangular prism and a cube is the same.

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) The whole formula of the surface area of the rectangle is 2(lxw)+2(hxl)+2(hxw)

An example of surface area;

The volume of a rectangular prism and a cube can be found by the formula:
volume=length x width x height or bxh

An example would be;

Hanah's BOB

2008-04-15T18:05:00.007-05:00

For this BOB, im going to talk about surface area and volume of a triangular prism and cube.

Cube:
VOLUME
- To get the volume of a cube , you would have to do l x w x h , (length x width x height).

SURFACE AREA
- To get the surface area of a cube , you would need to draw a net. If all sides are labelled 4 cm , you would have to do , 2 x (l x w) + 2 x (h x l) + 2 x (w x h) = sa . You add them together and that'll e you answer.

Look at pictures .

surface area solution:

volume solution:

Rectangular Prism:
VOLUME
- to get the volume of a rectangular prism , it's mostly the same as geting the volume for a cube. It has 6 sides , like a cube.

SURFACE AREA
- to get the surface area of a rectangular prism , it's alos mostly the same as getting the surface area of a cube.

Look at the pictures.

surface area solution:

volume solution:

(sorry the pictures are small , just click on them)

Kevin Y's B.O.B

2008-04-15T08:17:00.004-05:00

Surface Area & Volume

Surface Area: To get the surface area of a 3D shape, like a rectangular prism, you first need to make the prism into a net. Then you find the area of the fronts,backs,sides,bottom, and the top. Then you just add them all together to get your surface area.

Volume:

For volume you just use the formula "LxWxH" or length x width x height.

soo 4 x 4 x 4 = 64cm3 , this means volume = 64 cubic centimeters " 64cm3".

Anne's BOB

2008-04-14T22:50:00.003-05:00

On this BOB we have to post what we know all about surface area (sa) and volume (v) of a Cube and a Rectangular Prism..

For the Rectangular Prism:
A Rectangular Prism has 3 dimensions to it. Length, Width and Height. There are 2 different ways of drawing the Rectangular Prism. The first way is a net, which is flat, and the second way is a 3D way. To get the surface area of the Rectangular Prism you have to count the total units inside the net. But since that can be a handful, you can just use the formula to be easier. The formula is "2(Lxw) x 2(HxL) x 2(HxW) = SA" To get the volume, you have to multiply all 3 dimensions together like this, "Length x Width x Height." That is the formula for volume.

For Cube:
A cube also has 3 dimensions to it and can also be drawn the same way as those 2 examples for Rectangular Prism. The formula that was used from the Rectangular Prism to get the surface area can also be used for the cube. But theres an easier way, since a cube has 6 EQUAL sides, you can just multiply it by 6.

Pictures:
NET - Rectangular Prism & Cube

3D IMAGE - Rectangular Prism & Cube

NADINE'S BOB

2008-04-14T21:43:00.012-05:00

This BOB is about the surface area and volume of a cube and a rectangular prism.

The Formula : 2(LxW)+2(HxL)+2(HxW)

Rectangular prism has three sides, (lenght, width, and height). The net and the 3 dimension are the 2 ways to represent a rectangular prism.

A cube has 3 dimensions to it. It can also be drawn the same way as net and 3dimensional. The formula that was used from the Rectangular Prism to get the surface area can also be used for the cube.

To get the surface area, you have to get the area of each side.
Area of top and bottom : 2(length x width)
Area of front and back : 2(height x length)
Area of both sides : 2(height x width)
Surface Area = 2(LxW) + 2(HxL) + 2(HxW)

Here is an example:

L = 8 cm

W = 6 cm

H = 16 cm

Surface Area = 2(LxW) + 2(HxL) + 2(HxW)

Surface Area = 336 cm²

Marc's BOB

2008-04-14T20:22:00.007-05:00

The BOB is about the surface area (SA) and the area.

There are two ways you can illustrate a 3 dimentional cube. One is the cube, and the other is the net.

There are three parts to a cube or rectangular prism, the width, height and length.

To get the surface area of the whole prism, you have to get the area of each square used on the prism.

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)

So the whole equation should look like this

2(L x W) + 2(H x L) + 2(H x W)

E.g.

L=4cm
W=3cm
H=5cm

SA = 2(L x W) + 2(H x L) + 2(H x W)
SA = 2(4 x 3) + 2(5 x 4) + 2(5 x 3)
SA = (2 x 12cm²) + (2 x 20cm²) + (2 x 15cm²)
SA = 24cm² + 40cm² + 30cm²
SA = 94cm²

Volume has a simple formula.
Volume = (L x W)H
Volume = (4 x 3)5
Volume = 12cm² x 5cm²
Volume = 60cm[cubed]

Mariya's BOB

2008-04-14T19:00:00.004-05:00

On this post, the BOB is about the Surface Area and the Volume of a Rectangular Prism.The rectangular prism has 3 sides to it - the length, the height and the width. There are two ways to draw a rectangular prism - the net and 3 dimensional way.

To get the surface area, you have to get the area of each side.

Area of top and bottom : 2(length x width)

Area of front and back : 2(height x length)

Area of both sides : 2(height x width)

Surface Area = 2(LxW) + 2(HxL) + 2(HxW)

Here is an example:

Karla's Bob

2008-04-14T17:17:00.033-05:00

SURFACE AREAS:

Surface Area- is the sum of all the areas of all the shapes that cover the surface of an object.

RECTANGULAR PRISM
This is how a rectangular prism is labelled:

The Net:

SOLVING FOR THE SURFACE AREA:Rectangular Prism

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

*when writng the final answer for surface area the measuring unit is in squared

Example:

CUBE
a cube has 6 equal sides

The Net:

FINDING FOR THE SURFACE AREA:Cube

-since a cube has 6 equal sides its easier to solve for its surafce area

FORMULA:SA=area of a side x 6
(s squared)*s stands for:side
*I multiplied it by 6 because a cube has 6 equal sides
Example:

VOLUMES

Volume- is the number of cubes needed to fill in the shape.

SOLVING FOR THE VOLUME OF A CUBE:

FORMULA: V=l x w x h

or V= area of the base x h

Example:

FINDING THE VOLUME FOR RECTANGULAR PRISM

*finding for its volume is the same with the cube.

FORMULA: V=l x w x h

or V=area of the base x h

Example:

Jann's B.O.B

2008-04-14T16:47:00.006-05:00

This B.O.B is about Surface area of a Rectangular Prisim and a Cube, and Volume of a Rectangular Prism and a cube.

First we talked about a recangular prism.

The rectangular prism has 3 different kinds of sides, the length, height, and the width. A rectangular prism can be drawn in two different ways. The net which is the reacngular prism in a flat diagram and the 3D Way which is the rectangular prism in 3D version.

To get the measurment of the surface area, is the total area of each sides of the rectangle or the cube, you have to get the area of each sides first.

To get the area of the top and bottom = 2(Length x Width)

To get the area of the front and back = 2(Height x Length)

To get the area of the sides = 2(Height x Width)

To get the surface area = 2(LxW) + 2(HxL) + 2(HxW)

This formula also works with a cube but instead of multiplying by 2 all the time, since all the sides are the same, you can just multiply it by 6 to get the surface area.

Then we learned about Volume, volume is the measurement of the inside of the recangular prism or the cube.

Volume has a very simple formula,

This formula can also be used on a Rectangular prism. Another formula for volume is (Base x Height) but the base of a rectangular prism and a cube is LxW which the same formula.

Mariya's 2nd Scribe

2008-04-08T20:14:00.006-05:00

Today, Mr. Harbeck gave us an assignment to make nets on 1 cm grid paper. We had 6 shapes to do. What we did was that we took a couple of units and measured the sides of the 3 dimensional shapes. We measured the height, length and width. After measuring the sides, we drew a net. The net had to make a square with 6 sides. After making the net, we did the area of the sides.

My assignment for this scribe was to show you three of the six shapes that we did in class.

Jenna's Scribe Post

2008-04-08T19:57:00.006-05:00

Today in class we found the surface area for different squares/rectangles.

#1:

#2:

#3:

Surface Area Scribe Post

2008-04-07T16:17:00.011-05:00

-- Rectangular Prism
-- The Net

-- Top && Bottom
area of Top && Bottom = (Lxw)+(Lxw)
= 2 (Lxw)

-- Front && Back
area of Front && Back = (hxL) + (hxL)
= 2 (hxL)

-- Sides

area of the sides = (hxw) + (hxw)
= 2 (hxw)

-- Surface Area :
8+8=
2x8=
2(8)
area = 2(Lxw) + 2(hxL)+2(hxw)

-- Solve Surface Area
h=30cm
L=20cm
w=10cm

400 (2) + 1200(2) + 600(2)
= 2200cm(2)

-- Example Question :

-- The Net (for the example question)
-- Answer (Surface Area) :

= 2(Lxw)+ 2(hxL) + 2 (hxw)
= 2 (17cm+5cm) + 2(17cm+7cm)+ 2(17cm+5cm)
= 2x35cm(2) + 2x119cm(2)+2x85cm(2)
= 70cm(2) + 238cm(2) + 170cm(2)
=478cm(2)

kaitlin's 2nd growing post

2008-03-26T13:10:00.001-05:00

Chelsey's Pythagorean Growing Post =)

2008-03-26T13:06:00.030-05:00

Question 1 * --

A Pythagorean Triple is a right triangle that used a set of numbers (1,2,3 exc.) that specify the theorm ( A2+B2=C2).

Question 2 *--

Missing Hypotonuse:
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Missing Leg:

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Question 3 * --

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 * --

The house is 10mh high. Joshua is standing 11m away from the house. How far does he have to throw the snowball to get it on the roof?

Danielle's Pythagorean Growing Post.

2008-03-26T13:06:00.023-05:00

Danielle's Pythagorean growing post :]

part.1

A pythagorean Triple is a right triangle that uses a set of numbers [eg. 1,2,3...etc.] that satisfy. A2+B2=C2. there are also no decimals.

Part.2

Missing Hypotonuse

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Missing Leg

Part.3

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 thrid base, and runner out?

Part4.

My dog is really happy when he gets his dog treats. His dog treats are on the counter right now, and he wants to go get some. The counter is 160 cm and my dog is 15 cm away from it. How long does my dog have to go to go get the treats ?

Mya's Pythagoras Growing Post

2008-03-24T19:03:00.005-05:00

MYA'S GROWING POST,

Part; 1

A Pythagorean triple is a right triangle (a,b,c) a2+b2=c2.
But, the example I'm going to use is 32+42 = 52.

Part; 2

Part; 3

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 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? Part; 4

My cat is wanting to get the meat on the stove, my stove is 120 cm and my cat is 10 cm away from the stove. How long does my cat have to jump to get to my stove?

KevinT's Pythagoras Growing Post

2008-03-23T18:27:00.012-05:00

Part 1:
A Pythagorean Triple is a right triangle that uses a set of whole numbers (1, 2, 3, etc..) used to satisfy the problem a² + b² = c².

In this picture you see a, b, and c. It doesn't matter where a or b is but c is always where it is and that place is called the hypotenuse.

Part: 2

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Part 3:
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 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?

Part 4:

You and your friends are having a water gun fight. One of your friends is in a tree house 10 feet above the ground, you are 5 feet away. If you tried to shoot him/her what would the calculation of the shot be?

jordan's scribe post

2008-03-19T15:46:00.006-05:00

Worksheet B

Question:

You've just picked up a ground ball at first base, and you see the other team's player runnig towards thrid base. How far do you have to throw the ball to get it from first base to thrid base, and runner out?
Answer: Description of the picture

first, I wrote the Pythagorean theorem and then, i replaced the a squared and b squared to 90 because the legs are 90 squared. second, I solve the exponent numbers and then I add the answer to get 16200. third, i have to find the square root of 16200 in fraction and decimal form. for the fraction i use the chart to find it, i know that 127 is between 11 and 12 so my whole number is 11, to find the numerator i count how much needed to be 127, to find the denominator i add the bottom in the perfect square.

(click the picture to enlarge and see the solution)

Melissa's Pythagoras Growing Post

2008-03-18T22:54:00.007-05:00

PART 1

A Pythagoren Triple is a right triangle that uses a set of numbers(1,2,3....etc). The numbers should not be a decimal. This set of numbers can also satisfy as a2+b2=c2.
For example:

-Multiply 3 by 3 it's equal to 9.

- Multiply 4 by 4 equal to 16.

-Add 16 by 9, equals to 25.

- The legs of the triangle can be labelled a and b.

- It doesn't matter which leg is labelled a or b.

- But the hypotenuse is always labelled c.

This is what Pythagorean Triple looks like.

PART 2

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Part 3

Le frog stands 1.5 m from a wall where a fly sits 2m high. If Le frog's tongue leaves his mouth 70 cm from the ground, how far does his tongue have to strech to trap and eat the fly

Part 4

There is one wood. The length of the wood is 6 cm. Then the width is 4 cm. They have to half it into 2 woods. So they cut it diagonally. To make it parfectly cut they have to find what's the size of it's cutting part.

Jordan's pythagoras Growing Post

2008-03-18T21:43:00.027-05:00

A Pythagorean triple is a right triangle that uses a set of numbers ( 1, 2, 3, etc) that satisfy
a2 + b2 = c2

This is a Pythagorean triple looks like. Each leg label a and b the hypotenuse is always label c.
You can label any number you want but not decimal. you can use the numbers in the perfect square chart

Example:

Part 2
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part 3: worksheet B
You've just picked up a ground ball at first base, and you see the other team's player runnig towards thrid base. How far do you have to throw the ball to get it from first base to thrid base, and runner out?
first, I drew the whole stadium and i know that you have to threw the ball from first base to thrid base so i drew a line and i take 1 part of the whole stadium that how i started. I wrote the Pythagorean theorem and then, i replaced the a squared and b squared to 90 because the legs are 90 squared. second, I solve the exponent numbers and then I add the answer to get 16200. third, i have to find the square root of 16200 in fraction and decimal form. for the fraction i use the chart to find it, i know that 127 is between 11 and 12 so my whole number is 11, to find the numerator i count how much needed to be 127, to find the denominator i add the bottom in the perfect square.

Part 4:

A crew ship is going to travel from north island of New zealand to the south island of the country. 10000 km long the ship will travel 3333 kms in 100 km below sea level. when the ship pass that section, the ship will start travelling to a 2000 kms long in a water in a decreasing distance of the slope below sea level until it stop at 5000 km below sea level. how long is the distance of the slope from 100 m below sea level to the 5000 km below sea level ?

Jenna's Pythagoras Growing Post

2008-03-18T16:30:00.008-05:00

Part 1:

A Pythagorean Triple is a right triangle that uses a set of numbers (1, 2, 3, etc) that satisfy a2 + b2 = c2.
(no decimals)

<--- This is a Pythagorean triple. You can label each leg A or B, it doesn't matter which, but the hypotenuse is always labelled as C. (you can tell which is the hypotenuse because it is always opposite the right angle)

You can then place the numbers where the letters are. ( use numbers from perfect square chart )

Part 2:
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Part 3:

You've just picked up a ground ball at first base, and you see the other team's player runnig towards thrid base.

How far do you have to throw the ball to get it from first base to thrid base, and runner out?

Part 4:

Mrs. Claire tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. What is your answer?

Lester's Pythagoras Growing Post

2008-03-18T16:22:00.013-05:00

Part 1: A Pythagorean Triple is a right angle triangle thats has and uses a set of numbers or letters, 1, 2, 3, or a, b, c. These numbers have to be a decimal, and have to fit the formula, a² + b² = c². An example of this are the numbers 3, 4, and 5... because 3² equals 9, 4² equals 16 and 5² equals 25.
a² + b² = c² (=) 3² + 4² = 5² (=) 9 + 16 = 25.

This is what that would look like as a picture...

As you can see, c² is always the hypotinuse. The hypotinuse is the the line connecting 3² and 4² or a² and b². Those lines are called legs.

Here is a diagram...

Part 2:
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part 3: WORKSHEET 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 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?

Part 4: The free-throw line is 15 feet away from the basket. The rim is 10 feet above the ground. If you were to try and dunk from the free-throw line, how high and far will you have to dunk.

Alexandra's Pythagoras Growing Post

2008-03-17T22:41:00.008-05:00

Pythagorean Triple
The Pythagorean Triple is a relation among the three sides of a right triangle.
The theorem is as follows:
The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
If we let c be the length of the hypotenuse and a and b be the lengths of the other two sides, the theorem can be expressed as the equation:

Using the perfect square chart from one to ten, I found out that I can use 6,8, & 10 to make a Pythagorean Triple. Here's what I did.

I used 6 as my a and I used 8 as my b.

a² + b² = c²
36 + 64 = 100
6² + 8² = 10²

Click here to see how to find the missing leg of a right triangle.
Click here to see how to find the missing hypotenuse of a right triangle.

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 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?

My own word problem.
Two joggers run 8 miles north and then 5 miles west. They discovered that there is another way to go back to their starting point. They went from west straight to north without turning. How many miles did they travel from west back to north?

Ivanne's Pythagoras Growing Post

2008-03-17T21:13:00.006-05:00

Part 1: Pythagorean Theorem
A pythagorean theorem states that the legs of the right triangle (a and b) and the hypotenuse obey the following relationship a2 + b2 = c2...

A Pythagorean Triple is a right triangle that uses a set of numbers (1, 2, 3...etc.[no decimal]) that satisfy a2 + b2 = c2...

For example:
32+42=52
since 32 is 9 and 42 is 16...it equals to 52 which is 25...

You will know where the hypotenuse is because it is always on the opposite side of the right angle...

Part 2: Missing Hypotenuse

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Part 3: 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 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?

Part 4: Question
A white board measures 30 inches long and 26 inches high. What is the diagonal measure of the white board?

Kadille Dave's Pythagoras Growing Post

2008-03-17T20:52:00.023-05:00

1) A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime. The name is derived from the Pythagorean theorem, of which every Pythagorean triple is a solution. The converse is not true. For instance, the triangle with sides a = b = 1 and c = √2 is right, but (1, 1, √2) is not a Pythagorean triple because √2 is not an integer. Moreover, 1 and √2 don't have an integer common multiple because √2 is irrational.

If (a, b, c) is a Pythagorean triple,is (ka, kb, kc) for any positive integer k. The name is derived from the Pythagorean theorem, of which every Pythagorean triple is a solution.

a=3x3
b=4x4
c=5x5

a+b=c

9+16=25

2)Find The Missing Side

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3) School Problem Mr. H jumped into a canoe to cross a river. That runs east to west and is 20m wide. The current carried him downstream 8m before he reach the other side. How did he travel in total?

Given: 20m= edge to edge of the river
8m= downstream effect
c= mr. H travelled

This looks how the problem talks about.

solution on how to solve the problem

4) Own Problem

Angelo is planning to slide on a mountain that has a measurement of 156 meters from end to end. There is a building at the summit 10 meters wide and eight meters high. The center of the building is standing exactly on the summit of the building. The summit of the mountain is in the center of the mountain. If someone travel from the summit to the base of the mountain, he will travel 100 metres. The starting point is where the edges of the building is. Find how high did Angelo start sliding?

This diagram shows the labels of sides or measurements in the problem.

The real missing side is from the starting point down to the base of the mountain.
-but the other sides of the triangle are not the exact ones
-there is a building on top of the mountain

letter points
z-distance from the summit to the end of the mountain

Z-the distance from the starting point to the ground that is measured using the slope.

c-distance from the summit to the edge of the mountain.

H - the height of the mountain from the summit down to the base

h- the distance on how high Angelo started sliding from the ground

Q- the distance of the edges of the mountain divided into 2 minus 5

P=Starting Points

plan:
to solve the exact missing sides using: ratio and proportion, subtracting, dividing, and finding the missing side

1. Ratio and Proportion - solve for c
The angle of the small triangle inside the building has the same angle as the whole triangle from one end

H - the height of the mountain from the summit down to the base
it has a measurement of 62.58 metres

2. Solve for z

3. Solve for Q

Lastly, solve the problem. Because we got the exact measurement of the given sides

a-h(?)
b-q
c-Z

Solution
(click the picture to enlarge)

Karen's Pythergoras Growing Post

2008-03-17T19:29:00.014-05:00

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. (Note: You need a picture, not simply text.)

A Pythagorean Triple is a right triangle that uses a set of numbers (1,2,3 ... etc) that satisfy a2 + b2 = c2

1x1= 1
2x2= 4
3x3=9
4x4=16
5x5=25
6x6=36
7x7=49
8x8=64
9x9=81
10x10=100

Example of Pythagorean Triple using the perfect square chart

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=?)

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Part 3
You've just picked up a ground ball at first place, and you have 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?

To do this problem, the first thing I remembered after reading the problem is that you have throw the ball to get it from first base to third base, so then it would be half of the diamond then we know that its 90 ft. every base.
Then what we know now is that ;
a= 90² b=90² c=?
Next;

Part4
There are two people running 9 miles north and then 7 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

Carl's Pythagoras Growing Post

2008-03-17T18:58:00.012-05:00

Part 1:

The Pythegorean Triple is a right angle triangle that uses a set of numbers such as 1,2,3,etc. This set of numbers has to be a decimal, also this set of numbers has to satisfy a² + b² = c² For example, this set of numbers can be 3,4,5. Since 3² is equal to 9, 4² is equal to 16 and 5² is equal to 25. a² = 3 , b² = 4 , c² = 5²

Another example is 6²+8²=10².

Part2:\

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Part 3: 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 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?

Part 4:

There is a building with a 12 ft high window. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 ft away from the building to have a good slant. How long should the ladder be?

Jann's Pythergoras Growing Post

2008-03-17T17:23:00.010-05:00

Part 1)
The Pythegorean Triple is a right angle triangle that uses a set of numbers such as 1,2,3,etc. This set of numbers has to be a decimal, also this set of numbers has to satisfy a² + b² = c² For example, this set of numbers can be 3,4,5. Since 3² is equal to 9, 4² is equal to 16 and 5² is equal to 25. a² = 3 , b² = 4 , c² = 5²
Here are some sets of numbers that works with the pythegorean theorem

-6² + 8² = 10²
-8² + 15² = 17²
-7² + 24² = 25²

If you put that in a diagram it would look like this..

You notice that C² is always the hypotinus. The hypotinus is the the line conecting 3² and 4² together, The vertical line and the horizontal line can be a² or b² usually, the vertical line is a² and the horizontal is b².

In another way you can prove that 3 squares make a triangle look at this diagram...

Part 2 )

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What i did here in my bubbleshare is first i wrote down the Pythegorean Theorem which is a² + b² = c²
Then i worked my way through to get the value of ?² on the first part all i had to do was add both of the numbers to get ?² which was c². The 2nd part was a little bit tricky because b² was missing so what i had to do was make the ?² by itself so i subtracted both sides and ended up with the answer.

Part3) Heres part three of my growing post, Sorry if the question is wrong but I got it out of my head, i kinda remember all the important stuff in WORKSHEET A

Problem: You are locked you of your house, the only way in is an open window on the second floor 25 feet above the ground. Youre going to borrow a ladder from one of your neighbours. There are bushes around house so you have to put the ladder 10 feet away from the wall. What length of the ladder do you need to get to the window.

You see, what i did here was i made the formula of getting the measure of the hypotenuse by adding 25² + 10² to get the hypotenuse. I got the answer by using the calculator.

Part 4)

There is a building on fire, in the building each floor is 5 meters high. There is a child stuck in the 5rd floor. You are in a fire truck and you are 2.5 meters away from the building. How long is the ladder your going to use to put on top of the fire truck if the fire truck is as tall as 1/2 of a floor?

Jann's 2nd Scibe

2008-03-17T17:05:00.004-05:00

Sorry this scribe is late, i forgot to finish it during the weekends.
Well, this scribe is about the Pythegorean Triple.

First, What is the Pythergorean Triple?

The Pythegorean Triple is a right angle triangle that uses a set of numbers such as 1,2,3,etc. This set of numbers has to be a decimal, also this set of numbers has to satisfy a² + b² = c²

For example, this set of numbers can be 3,4,5. Since 3² is equal to 9, 4² is equal to 16 and 5² is equal to 25. a² = 3 , b² = 4 , c² = 5²

If you put that in a diagram it would look like this...

You notice that C² is always the hypotinus. The hypotinus is the the line conecting 3² and 4² together, The vertical line and the horizontal line can be a² or b² usually, the vertical line is a² and the horizontal is b².

Kadille Dave's Scribe Post

2008-03-17T15:40:00.014-05:00

Finding the missing side.

this talks about finding a side of a right triangle using the formula in Pythagorean theorem. the formula is a squared plus b squared is equal to c squared.

Examples:

To find the missing side, the formula is needed to be labeled exactly as the given. There are 2 ways to solve a problem like this.

This shows how the formula changed from the default one. This will help to solve other sides like the smaller leg (a), and longer leg (b).

C is done as an example. it is blurry

another problem is missing a side. it is not c but b. (click on the picture for better looks).

click the picture to enlarge.

click the picture to enlarge.

Jomarie's Pythagoras Growing Post

2008-03-16T21:57:00.009-05:00

PART1) A Pythagorean Triple is a right triangle that uses a set of numbers (1,2,3 ect..) that satisfy a2+b2=c2. a=3+b=4=c=5

Another example is 6squared+8squared=10 squared. To prove that:

6 squared = 36 plus 8 squared (which equals 64) = 100 (which is the same as 10 squared)
36+64=100

1x1=1

2x2=4

3x3=9

4x4=16

5x5=25

6x6=36

7x7=49

8x8=64

9x9=81

10x10=100

PART2)

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Part3) Worksheet B

Question:
You've just picked up a ground ball at first base, and you see the other team's player runnig towards thrid base. How far do you have to throw the ball to get it from first base to thrid base, and runner out? The answer is.....

First I drew the picture of the whole baseball field. We know we have to go to first base to third so I ignored the second base, which is seen above and we also know that home to first base and third base is 90 FT (they are the leg). So, we just have to find out what the hypotenuse is. This is how I solved it:

First write the theoream: a2 + b2 = c2, then you can do the rest of the work.

a2 = 90, b2 = 90 and c2 =?

90 squared + 90 squared = c2

90 squared = 8100

8100 + 8100 = c2

8100 + 1800 = 16200 = c2

square root of 16200 = c2 = c

square root of 16200 = 127.27 or 127.28 when you round.

and in fractions it = 11 6/23

PART4) My own question.

There was this waterslide that is 4m tall and the base of 6m. The water is 3m high and the water touches the base of the slide at the exact same level. If you were to slide down from the top of the slide and going down to the water, how many meters is it from the top of the slide to touching the water?

Nadine's Pythagoras Growing Post

2008-03-16T20:51:00.029-05:00

Part 1
A Pythagorean Triple is right triangle that has three integers ( a = leg, b = leg, and c = hypotenuse) and uses a set of numbers (1,2,3..etc. - no decimal) that satisfy a² + b² = c². (you need to label it a, b, and c. you can tell which is the hypotenuse because it is always opposite the right angle.)
Example :5² + 12² = 13² (5:12:13) && 6² + 8² = 10² (6:8:10)

Part 2

Part 3
Lefrog is standing in a room that has tables that are 120 cm tall and chairs that are 1.4 tall, the entrance doorway to the room is 2 m high. Lefrog is 3 m away from the doorway. If Lefrog's tongue leaves his mouth at the same height as a table, how far does tongue have to stretch to eat the fly?

Part 4
The merchants often fashioned tents out of a piece of cloth thrown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 4 meters high and 3 meters wide?

Kevin Y's Pythagoras Growing Post

2008-03-16T20:15:00.009-05:00

Part 1 : Pythagorean Triple

A Pythagorean Triple is a right triangle that uses a set of whole numbers (1, 2, 3, etc..) used to satisfy the problem a² + b² = c².

The example im going to use is 3² + 4² = 5². There are other triples as well, like 6² + 8² = 10².

Part 2 :

Part 3 :

Part 4 :

If you needed to throw a waterballon up onto rooftop thats 10 meters tall, and you were 15 meters away how high and how far would you have to throw the waterballoon?

Angelo's Pythagoras Growing Post

2008-03-16T20:11:00.012-05:00

Part1:
A Pythagorean Theorem is when the legs of a right triangle ( a & b ) and the hypotenuse obey the following relationship " a2 + b2 = C2."

A Pythagorean Triple is a right triangle that uses a set of numbers (1,2,3,etc...) that satisfy a2 + b2 = C2. The set of numbers can't have any decimals For example, 3squared + 4squared = 5squared.Another way to say that is, 9 + 16 = 25.

I had to figure out another Pythagorean Triple using only the Perfect Squares up to ten. The perfect squares are:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
10 x 10 = 100
The next Pythagorean Theorem after 3 squared + 4 squared = 5 squared is, 6 squared + 8 squared = 10 squared. I proved it in three different visual ways.
The first one I used the right triangle. It is clear that the legs will add up to the hypotenuse.

The second way, i proved it in squares. It is clear that 36 squares (6 squared) + 64 squares (8 squared) will equal 100 squares (10 squared).

The third way, I showed it in squares again. You could see that the a2 and b2 fits in c2 perfectly.

Part 2:
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For the missing hypotenuse, I first wrote down what i knew then began the Pythagorean Theorem. In using the squares, 10 was my Whole Number because it is the the closest perfect square before the number 117. I then got my Denominator by subtracting the two perfect squares from eachother. I got the numeratoe by subtracting the main number and the smaller perfect square. I couldn't end my answer with a Mixed fraction so I divided 17 to 21 to came up with a decimal form.

For the missing leg B I did the similar steps like the missing hypotenuse, but it changed when it came to the subtracting part. To get "B" you had to subtract A from C. After those steps you were back to the normal "missing side" steps.

For the missing leg A it was the same as Missing side B. The square is just in a different position during the subtracting steps.

Part 3:

Before I could do the Pythagorean Theorem, I first had to write down what I knew. The height of the frog from the tongue is 70 cm ( there is 100 cm in a m). The height of the door was 2m. And the distance from Lefrog and the door was 1.5 m. But I couldn't make a triangle just with that information. I had to find out what the height of the door is starting from the height of the tongue. So I had to subtract 70 from 200 which made 130cm or 1.3m. From there, I had my A (1.3) and my B (1.5). That's when I could use those numbers and the Pythagorean Theorem to solve the answer.

Part 4:

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Just in case you guys can't read the question. It says, " Mary had a dream to dunk. So one day she attempted. She stood at the free throw line, which was 20 feet away from the net. The basketball net's height is 10 feet tall. Mary is 4 feet tall for her feet to her arms. Her arms has a reach of 1 feet. How far and high does she have to jump to SLAM DUNK???

Answer:
First you had to write down what you knew. After that you had to make the triangle with the starting lengths. I subtracted 4 from 10 to get the starting height(A). I subtracted 1 from 20 to get the starting distance(B). Once I got those facts, I could finally do the Pythagorean Theorem. After I get the number for C², I could use the squares and get the Mixed Fraction. After that, I would just have to divide the Numerator to the Denominator, and add the answer to the Whole Number.

Mariya's Pythagoras Growing Post

2008-03-16T17:26:00.013-05:00

Part I:
A pythagorean triple is a right angle triangle that has three integers (which are a, b, and c.) that satisfy a² + b² = c².
An easy example is 3² + 4² = 5², but, the example I'm going to use is 6² + 8² = 10².

another way to show 6² + 8² = 10² :

Part II:

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Part III:
You've just picked up a ground ball at first base, and you see the other team's player runnig towards thrid base.
How far do you have to throw the ball to get it from first base to thrid base, and runner out?

Part IV:
Danny's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of this dog house, in feet, at its tallest point?

Marc's Third Growing Post

2008-03-16T16:59:00.008-05:00

Part I:

A Pythagorean Triple is a right triangle that uses a set of whole numbers (1, 2, 3, etc..) used to satisfy the problem a² + b² = c².

This picture shows that

3² + 4² = 5² = 9 + 16 = 25.

Some other triples are:

6² + 8² = 10² = 36 + 64 = 100

You can use this same picture

to show 6² + 8² = 10² you just

have to change the 3 into a 6,

the 4 into a 8 and the 5 into a

10.

Part II:

BubbleShare: Share photos - Play some Online Games.

Part III:

You are locked you of your house, the only way in is an open window on the second floor 25 feet above the ground. Youre going to borrow a ladder from one of your neighbours. There are bushes around house so you have to put the ladder 10 feet away from the wall. What length of the ladder do you need to get to the window?

Part IV:

Mr. Jerema tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. What is your answer?

Karla's Pythagoras Growing Post

2008-03-16T11:04:00.028-05:00

Part I:Pythagorean Triple

Mr. Jerema is teaching us about the Pythagorean Threom in which it states that if you add both legs of the right triangle(which is labelled a and b) is equal to the hypotenuse(which is labelled c) of the right triangle. (a squared + b squared= c squared.) This is how a Pythagorean theorem looks like:

To test if this theorem is right he taught us the Pythagorean Triple in which it uses a set of numbers (1,2,3,etc.). The numbers indicate the perfect squares which means there's no decimal used. For example: 3 squared + 4 squared= 5 squared

(9 + 16= 25)

a= 3 squared
b= 4 squared

c= 5 squared

3 squared= 9
4 squared= 16
5 squared= 25

But using another set of perfect square numbers we can test if this theorem really works. We could use the numbers 6 squared, 8 squared, and 10 squared.

(36 + 64=100)

a= 6 squared
b= 8 squared

c= 10 squared

6 squared= 36

8 squared= 64
10 squared= 100

Part II:Find the Missing Side

To find the missing side of any right triangle always remember the pythagorean formula (a squared + b squared=c squared). From this formula you can formulate other formulas you could use in finding the sides of a right triangle, like the legs or the hypotenuse.

A. HYPOTENUSE: for finding thre hypotenuse use the original formula. Always remember to find the hypotenuse it is where thew right angle always points.

example
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B. LEG(it's either a or b): write the original formula then formulate the formula you need for solving the problem. First thing is to write what you know to help you solve the problem.

example:BubbleShare: Share photos - Powered by BubbleShare

Part III: Word Problems

Example: You've just picked up a ground ball at first base, and you see the other team's player running towards the 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?

Baseball Field

Answer: you should throw the ball 127.28 ft far.

Part IV: Make your own Word Problem

Example: If you're climbing up a mountain whose height is 36 m high and the base is 10 m long across. How long would the slope be if you have to roll a ball down to the other side of the mountain from the top of it?

Anne's Pythagoras Growing Post

2008-03-15T21:19:00.021-05:00

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. (Note: You need a picture, not simply text.)

The definition that Mr. Jerema gave us was:
"A Pythagorean Triple is a right triangle that uses a set of whole numbers (1, 2, 3....etc) that satisfy A² + B² = C²"

A pythagorean Triple is a right triangle where the sides are in the ratio of a positive integer or whole number.
Examples are] 3:4:5, 6:8:10, 5:12:13, 9:12:15, 8:15:17 etc.
The formula is simple] a² + b² = c² OR x² + y² = z²
You can invert that formula with the examples like this] 3² x 4² = 5²

perfect square chart
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
10 x 10 = 100

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=?)

The first slides about the missing hypotenuse shows that the straight angle is 3 and the other straight angle is 4, is can be labelled either a or b. But let's say that a = 3 and b = 4. Now we have to find the missing side, since the right angle is in the bottom left corner, pretend to draw a little box to make sure that it is a right angle. Now if you can imagine the box, it would be pointing to the line.. which is the hypotenuse. We have to figure out what the hypotenuse is so we first:
write down what we already know
then write down the pythagorean thereom
then transfer that into the squared numbers
then transfer that into their standard form
then add it together and you get the number
but after you have to figure out the square unit for the number
in this case, the number is 25,
which is easy because the square unit is perfect since 5 squared = 25.

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).

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

I highlighted half the square because it made a right triangle. Since all the sides are 90 squared except for the line running through third base and first base. That was the hypotenuse.

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

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?

Angelo's Scribe

2008-03-15T14:00:00.007-05:00

Mr. Jerema is teaching us , and he introduced "Pythagoras" to us. We learned that a triangle can also be a right angle.
We first learned about the three basic angles. He showed us that a circle has a 360º angle. If we cut the circle in half it will be 360 divided by 2 and it will turn into a 180º angle, also known as a straight angle. If we cut the semi - circle in half, it will be 180 divided by 2 and it will turn into a 90º angle, also known as a "right angle."

So if we make a right angle and then add the extra line to make it a triangle, it will make a "right angle triangle." In a right angle triangle, there are two legs and a hypotenuse. The legs are the two lines to make a right angle, and the hypotenuse is the longest line.The legs can also be labeled "a" and "b." The hypotenuse will always be a "c."

To find the area of a rectangle, you would have to multiply the length (a) and width (b) together. But if you want to find half of the area, it has to be Length(a) times Width(b) divided by two. If you want, you could also cut the rectangle in a triangular way (it will be the same thing).

Lester's Scribe

2008-02-12T17:37:00.000-06:00

my scribe is question 4 and 9 in the C66 Paper that mr harbeck gave us

Question Number 4
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Question 9
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Karla's Scribe Post

2008-02-11T20:18:00.000-06:00

Today we were told to anwer 5 questions from the paper that was givento us and we need to answer it into 2 different ways. In this scribe post 2 examples of the word problems are disscussed.

Q1:Andrea cur 62 1/2 inches of ribbon into 4 equal hair ribbons. How long was each hair ribbon?

Answer: Each ribbon would be 15 5/8 inches long.

Solution#1:

1. change mixed fraction to improper fraction

2. get the reciprocal of the divisor which is 4 becomes to 1/4

3. do multiplication

4. simplfy your answer

Solution#2:

1. change mixed faction to improper fraction before doing the ratio table.

2. on the right side divide 4 by 4 or multiply by 1/4 to get 1 as your answer.

3. on the left side do the same thing and simplfy your answer.

Q2:Dawn has 12 yards of silk. She needs 1 1/4 yards of silk to make one skirt. How many skirts can she make?

Answer: She can make 9 3/5 of skirts.

Solution#1:

1. change mixed fraction to improper fraction.

2. then get the reciprocal of the divisor which is 5/4 becomes 4/5.

3. multiply the fractions.

4. simplfy your answer.

Solution#2:

1. change the mixed fraction to improper fraction before doing the ratio table.

2. on the right side multiply 5/4 by 4 which gives you 20/4

3. then divide it by its denominator which is 5 and gives you the answer of 1.

4. do the same thing on the left side and simplfy your answer.

Mya B`s Scribe ,

2008-02-04T14:36:00.000-06:00

This scribe is about Ratio tables,How many groups of ___ are in ___ ?. , dividing , and multiplying.
So, the question would be how many groups of 1/8 are in 2/5 ?

How many groups of 1/2 are in 3/4?,

How many groups of 2/3 are in 2/9 ?

How many groups of 3/4 are in 5/6?,

KevinT's Scribe

2008-02-03T19:25:00.000-06:00

Scribe on four 4s

1. How to get zero

2. How to get 1.

3. How to get 2.

4. How to get 3.

5. How to get 4.

6. How to get 5.

7. How to get 6.

8. How to get 7.

9. How to get 8.

10. How to get 9.

Kadille Dave's Scribe Post

2008-01-31T17:49:00.000-06:00

This scribe is all about paints used in a part of a room.

here is the problem:

if you can paint 2/5 of paint can, in a quarter of a room, how many paint can/s will be used when you will paint a whole room?

to answer this problem, one strategy can be used in solving this problem. it is ratio table. the picture shows how this problem will be solved. but the answer is not yet shown, it only showed how to get the whole room (1/4 x 4). to make 1/4 into a whole number which is one, the numerator and the denominator must be the same so since it was 1/4, we multiply it into 4 to get 4/4 or 1....one thing in ratio table is that when you do it in one side, do it on the other side. so we multiply the number 4 too, to answer the question.

this is to show how you multiply the fraction to 4... and 2 2/3 is the answer to this problem that can paint the whole room

this shows the answer..,.its done...the answer is
2 2/3

Angelo's scribe

2008-01-30T18:48:00.000-06:00

Today, Mr Harbeck was away (AWWWWWWWWWWW) so we just did fraction word problems.
I'll show you how I did three of them:

Explanation1: I needed to find out 3/8 of 24, so i first divided 8 to 24. The answer was 3, and that meant 3 is 1/8 of 24. So, to get 3/8 i had to times 1/8 three times. That's why i did 3 times 3.

Explanation2: I needed to find out 3/5 of 125, so i first divided 5 into 125. The answer was 25, and that meant 25 is 1/5 of 125. So, to get 3/5 i had to times 1/5 three times. That's why i did 25 times 3.

Explanation3: I needed to find 7/8 of 160, so i first divided 8 into 160. The answer was 20, and that meant 20 is 1/8 of 160. So, to get 7/8 i had to times 1/8 seven times. That's why i did 20 times 7.

This is how I did my questions. Hope you guys agree!

CARL873's scribepost

2008-01-30T17:30:00.000-06:00

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

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

9) Last year, Mr Murrin weighed 60 kg. This year he weighs 2/5 more. How much does Mr Murrin weigh this year?

jordan's scribe

2008-01-30T13:18:00.000-06:00

the thing we did today in class was a question sheet about how do we use the method that Mr harbeck taught as. here is some question we did......

4. The weather fore caster says that it is 20 c in london but only 7/10 as hot in new york. how hot is it in new york?

answer: 14* c hot in new york

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

answer: $28 if you buy a another one.

6.Billy collected 256 conkers but lost?2/4of them in his way to school through a hole in his bag. When he arrived at school how many conkers did billy have left?
( you can choose any fraction you want to subtract to 256).

answer: 128 conkers left.

Jullian's Fraction word PROBLEMS

2008-01-30T13:15:00.000-06:00

The thing we did today in class was a question sheet about adding, subtracting, multiplying fractions. Here are some of the questions we did....

Question Number#

10. McDonalds sell milkshakes in two sizes. A small milkshake contains 300ml and a large milkshake contains 2/3 more.
(i) How much does a large milkshake contain? 500ml
Because a 2/3 of a small milkshake is 200 then I added it with 300 because it is more than the small milkshake 200ml+300ml=500ml.

(ii)If Mr.Murrin drinks 2/3 of a small milkshake and Miss Hoyne 1/2 of a large milkshake who drinks the most? Miss Hoyne drinks the most because, 2/3 of Mr.Murrins 2/3 of 300 is 200ml and Miss Hoyne's 1/2 of the 500ml milkshake is 250ml.

11. Half a can of paint covers 1/3 of a room. How much paint is needed to cover the whole room? 1 and 1/2 of paint is needed to paint the whole room.....

Ivanne's Scribe Post

2008-01-23T18:31:00.000-06:00

Today, we learned how to multiply mixed numbers. Here are the steps in multiplying mixed numbers.

Example:
1 1/4 x 1 1/2

First, you have to convert the mixed numbers to improper fractions.

Denominator x Whole number + Numerator

1 1/4 = 4 x 1 + 1 = 5/4
(4 multiplied by 1 equals 4 plus 1 equals 5. The denominator stays the same.)
1 1/2 = 2 x 1 + 1 = 3/2
(2 multiplied by 1 equals 2 plus 1 equals 3. The denominator stays the same.)

Now, we have 5/4 x 3/2.

Second, you have to multiply the numerators.

5 x 3 = 15

Third, you have to multiply the denominators.

4 x 2 = 8

Now, we have 15/8.

Fourth, we have to simplify the answer. To convert an improper number to mixed number, we have to divide them.

The answer will be the whole number, the remainder will be the numerator, and the divisor will be the denominator. So, we now have 1 7/8.

1 1/4 x 1 1/2 = 1 7/8

We can also use the numerator swap...

Example:
2 1/5 x 1 2/3

We will do the first step...convert the mixed numbers to improper fractions.

2 1/5 = 5 x 2 + 1 =11/5
1 2/3 = 3 x 1 + 2 = 5/3

Now, we have 11/5 x 5/3.

To multiply the fractions easier, we will do the numerator swap.

11/5 x 5/3 will become 5/5 x 11/3.

Now, we have to simplify these fractions.

5/5 = 1
11/3 = 11/3

Our fractions now are 1 x 11/3.

To multiply a whole number and a fraction, you just need to put 1 as the denominator of the whole number.

Now, we have to multiply the numerators..

1 x 11 = 11

And the denominators..

1 x 3 = 3

**Or you can just multiply them like 1 x 1/3 and the answer is 1/3 because any number you multiply by 1, the answer is always the number.

We now have 11/3. We need to simplify them.

So, 2 1/5 x 1 2/3 = 3 2/3

Anne's Scribe

2008-01-22T18:39:00.000-06:00

Today we learned about multiplying fractions. We made a pamphlet yesterday and filled in boxes. In one particular box we talked about Standard Algorithim and Array Models to help us multiply fractions easier and with better understanding.

In that box we learned about making ugly fractions into friendly fractions. How to do that was to take an ugly fraction (for example) 20/33 x 11/30. Those are what you can call ugly fractions! To make it easier for you and other people, you can just do a numerator swap (as Mr. Harbeck says) with the 20 and 11. So now your fraction is 11/33 x 20/30.

Now you can simplify both fractions. 11/33 can be simplified into 1/3 because 33 can be divided by 11, and 11 can be divided by 11. Or, 11 can fit into 33, 3 times. Or another way to show that it can be changed into 1/3 is because 11 and 33 is divisble by 11. 20/30 can be simplified into 2/3 because they are both divisible by 10. 10 fits into 20, 2 times. 10 fits into 30, 3 times. How hard was that?!

Now the final step is to get both fractions and multiply them. Now you are ended up with a much more easier and pretty fraction. Get ready for extreme multiply makeover! 1/3 (11/30) x 2/3 (20/30). Since we already talked about multiplying fractions by using cross multiplying we can now get a fraction without having to multiply large, ugly numbers. Wasn't that easy?!

click for a picture http://www.freewebs.com/annev/math.JPG

Jomarie's Scribe

2008-01-21T16:36:00.000-06:00

Today in class we learned about Multiplying & Dividing - Standard Algorithm and Array Models.

Standard Algorithm is basicly multiplying the numerators, multiplying the denominators and simplifying your answer if possible. The example we did together was 2/3 x 1/2 = __. Which the answer is 1/3. How we got it is....

Array Model is a picture (rectangle shaped) showing your answer, in picture form. It is basicly multiplying the denominator to make a large rectangle and multiplying the numerator to make a small rectangle (most likely inside the large rectangle). The example was the same thing, 2/3 x 1/2 = __, but you have to show it in picture form.

Mariya's Scribe

2008-01-16T16:54:00.000-06:00

today, we learned about adding fractions.
mr harbeck showed us how to add fractions with an example. our example was 4/5 + 8/15. we knew that 4/5 + 8/15 didnt equal to 12/20. so, what we did was find a common denominator. so, 4/5 became 12/15. what we did to get 12/15 was that we multiplied 4/5 by 3. now, we can add the two fractions. so, 12/15 + 8/15 added up to 20/15. 20/15 is an unpropper fraction so we changed it to 1 5/15 or simplified it to 1 1/3.

today, we also did another investigation. in today's investigation, we are doing a problem in two places in Brooklyn, Carrol Garden and Flatbush. what we know about the two places is that the community wants to build a park for their neighbourhood and both of their space for the park is 50 m by 100 m.
In Carrol Garden's, 3/4 of the lot is devoted to a playground and 2/5 of the playground is blacktop.
In Flatbush, 2/5 of the lot is devoted to a playground and 3/4 of the playground is blacktop.

these are our questions.
- is one neighbourhood getting more blacktop than the other?
- is there more blacktop space in one lot than in the other lot ?
- how would you convince the people in the two neighbourhoods that your conclusion is correct ?

Karen's Scribe

2008-01-13T16:34:00.001-06:00

Last Friday in class we did a test about adding and subtracting fractions.
I will be explaining two questions from the test. The following questions will be #'s 3&4.
Question #3

To find the answer I used $ strategy. First I ignored the 5 from 5 9/10 then I have to figure out the answer for 9/10 using 100, so then it would be 100÷10(denominator)=10 multiply by 9(numerator) equals 9o it would be 90/100. Next is 3 4/5 again I ignored 3 so then for now we have 4/5, 100 divided by 5 is 20 multiply by 4 is equals 80/100.

Now we have 10/100, we still have 5 and 3 that we ignored previously. I just did 5-3 = 2 then included 2 to the answer

Question #4

Using the $ money strategy. I did kind of the same thing for the question #3 that I just answered previously. I also ignored the whole for each fraction so then for now I have 2/5 and 13/20

But since you can't subtract 40/100 to 65/100. Now I have to take the whole from 5 9/10 to subtract it to 1 ( 5-1) = 4 then I add 40 + 100 since we have 40/100 I added them together so it became 140/100for 3 65/100 I just leave it the same way then now we have 4 140/100 subtract by 3 65/100 = 1 75/100 although we can still simplify it.

I simplified 75/100 divided by 5 = 15/20 then again divided by 5 = 3/4 then that's where I added 1 to get 1 3/4

marc's scribe

2008-01-13T16:28:00.000-06:00

The strategy i used to answer the questions was common denominator.
To get the common denominator, you have to find a number that both of the denominators go into.

Question 1:

4/5 + 9/15

Question 2:

4 3/8 - 1 1/2

Kadille Dave's Scribe Post (Subtracting Fractions)

2008-01-09T17:49:00.000-06:00

in subtracting fractions, steps must be memorized and strategies must be used in different kinds of fractions. different kinds of fractions can be mixed number minus mixed number, mixed number minus proper fraction, even with different denominators, proper fractions with the same denominators, proper fractions with different denominators.*

*the denominators depend on the complication or ugliness of the two numbers. so different strategy can be used or shortcuts can be used in the ugliness of the denominators.

some examples or equations with different varieties will be shown here with explanations

1. subtracting proper numbers (answer can be simplified)
*common denominator

in this picture, the equation have the same denominators and the minuend is larger than the subtrahend meaning that the numerator in the first fraction is higher than the second one.

now, the answered is shown, the answer is right but the answer can be simplified. but how? the next illustration will show it.

to simplify the unsimplified answer such as 2/4, we need to get the factors of the numerator and the denominator, circle the same two factors that each number have (like shown in the picture). align the same factors, not in different factors to be organized and easy to understand (as shown in the picture). but...

if there are more factors that are the same, circle them, align them then multiply the common factors(shown in the picture) to get the GCF...if the numbers are too big and hard to identify, try to use prime factorization...it is used to find the prime factors of a big number

now we have the simplified answer...

so the solution of this equation looks like this

*clock method

i didn't draw a clock but this shows the minutes in each fraction.

*money method $
this shows the value in each fraction using money as a strategy

note: you will know that the answer is simplified if the factors of two numbers of the answer, the numerator and the denominator are prime or composite with prime. every prime number has a factor of 1 and the number itself so 1 is useless in finding the prime factors of a number because 1 is a prime nor composite number (1 x 1, 1 x 2, 1 x 3, 1 x ...)

2. subtraction of mixed number and proper fraction or a mixed number (the same denominator)
*money

the solution is shown here using money

*clock
the solutions shown in this post is clearly shown and what i did here is clock method

3. subtraction of mixed number and proper fraction or a mixed number (different denominator)
*least common denominator (LCD)
common denominator must be use when solving an equation with different denominators so in getting the common denominator of the two denominators, you can multiply them together, in prime numbers or prime numbers with composite numbers, you must do this method. but for more ease, the picture will be showed next...

this picture showed how to get the LCD of the two denominators.

the lcd we found is 20 so i changed the fraction with the same denominators. and the pictures shows the similar changed of the numerators and the denominators.

the solution looks like this

note: if the numerator of the minuend, is smaller than the subtrahend, borrow a whole and add it to the numerator, the whole must be shown as a fraction (1= a whole=??/??) the numerator and the denominator must be the same because it represents a whole number and the number must be the same as the common denominator of the equation so the answer would be

i did this post so complicated...maybe hard to understand...just try to comment and understand...i hope you do...

Angelo's Scribe

2008-01-08T18:45:00.001-06:00

Today in class we learned different strategies to solve addition fractions. The three startegies were using clocks, money, and double number line ( also called Common Denominators).

We first startegy we did was clocks. We found out that the magic number for clocks was 60 minutes. After that, we figured out the numbers that would divide evenly into 60. They were 2, 3, 4, 5, 6, 10 , 12, 15, 20, 30, and 60. We did an exmaple question and this is how I solved it.

1/3 is 20 mintues on a clock. 1/12 is 5 minutes on a clock, but since it's 5/12 we just have to multiply 5 minutes, 5 times. This will get us 25 minutes. Add it together and get 45 minutes over 60 minutes. You could reduce it to 9/12. Reduce it one more time and get the final answer, 3/4

The second startegy we did was money. We found out the magic number for money and it was 100. After that , we figured out that 2, 4, 5, 10, 20, 25, 50 and 100 were the numbers that divide into 100 evenly. We did an example qeustion and this is how I
solved it.

The first number 3/10 was easy to solve , because the denominator, 10, meant that it was in dimes. SO all we had to do was multiply 3 by 10 and it equaled 30 cents over 100. The second number was easy to solve, because the denominator, 20, meant that it was in nickels. So all we had to do was multiply 9 by 5 and it equaled 45 cents over 100. Add that together and get 75 cents over 100. You might see it kind of looks like three quarters. So the final answer is 3/4.

The last strategy we did was double number lines. We found out that any number can go into it. We did an example question and this is how i did it.

Since 5/8 equals 55/88, by just multiplying 5 and 8 with 11.
3/11 equals 24/88, by just multiplying 3 and 11 by 8.
the number line was up to 88 since that was the denominator. we first did 3/11 (24/88) and added 5/8 ( 55/88) which equalled to 79/88.

This ends todays math class! Remember to finish your math homework.

Clock:
1/2 + 3/10
4/5 + 1/12
1/3 + 11/20

Money:
5/20 + 1/10
2/4 + 10/25
17/50 + 2/5

Double Number Line:
6/13 + 2/5
1/4 + 6/8
12/19 + 1/3

Today's Slides January 8

2008-01-08T13:42:00.000-06:00

Here are todays Slides

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Hoppietonights (Jon's) 2nd Growing Post

2007-12-19T13:19:00.000-06:00

1.What strategies were needed?

I used Ratio table, Multipication, and division(I think).

2.How did you use these strategies?

The Ratio table helped me figure out ingredients and money. Multipication and Division are the master planners behind this plot.

3.Or How could you of used these strategies.

I used this stratagy by using the Multipication and Division with the Ratio table.

4.How would you figure out the price of a 6 cup bag of Betty's Snack mix? Use a ratio table

5.Find 3 other values (amounts of Snack Mix) that could be solved using the same ratio table. Find the $$ of your new container sizes.

1. 2/3 + 1/4 + 2/5 = 40/60 + 15/60 + 24/60 = 79/60 = 1 19/60

2. 6/5 - 11/10= 12/10 - 11/10 = 1/10

3. 3/5 + 2/7 = 21/35 + 10/35 = 31/35

4. 1/6 + 1/9 = 3/18 + 2/18 = 5/18

Equivalence-

I'm figuring out how much miles 7/8 and 11/12 is first.

26Miles

7/8= 4/8=13 Miles

3/8=9 3/4 Miles

1/8=3 1/4 Miles

Add 4/8 and 3/8 together... 7/8=22 3/4 miles

11/12=6/11=13 Miles

5/11=10 5/5 Miles

1/11= 2 1/5 Miles

Add 6/11 and 5/11 together... 11/12=23 5/5

Fractions show operations-

7/8 of 26 means 7/8x26

11/12 of 26 means 11/12x26

Ratio Tables (Proportional Reasoning)-

Measurement -

7/8= 1/8+1/8+1/8+1/8+1/8+1/8+1/8=7/8

11/12= 1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12=11/12

Partial Products or the Distributive Property-

7/8=4/8+3/8=13Miles+9 3/4 Miles= 22 3/4 Miles

11/12=6/11+5/11=13miles+10 5/5 Miles= 23 5/5 Miles

The Whole Matters-

7/8 Both are using 26 miles.

11/12

Friendly Fractions-

1/8=3 1/4 Miles

7x1/8=7/8

7x3 1/4= 23 5/5

1/12= 2 1/5 Miles

11x1/12= 11/12

11x2 1/5= 23 5/5

How much pizza does each student get in the different groups?

In group 1 4 kids got 3 pieces of pizza each. In group 2 5 kids got 4 pieces each. In group 3 6 kids got 5 pieces each. In group 4 8 kids got 7 pizzas each.
Which group gets the largest portion of pizza?

Group 4 got the largest portion.
Show how you found your answer in 2 different ways.

I used a Ratio Table and Circles (Pizzas). Another way is I noticed... Group number 2 for example. 4 Pieces each. 5 kids 4 pizzas. Slices it 5 ways evenly (Look at the 5 kids). Then they got 4 each (Look at the 4 pizzas)

What strategies did you use in finding your answer.

Ratio table, Division, and fractions.

Karla's 2nd Growing Post

2007-12-18T12:11:00.000-06:00

THIS IS WHAT THE FRACTION TEST LOOKS LIKE:

Betty's Snack Mix

Questions 1:

1. What strategies were needed?

-the strategies I've used was multiplication and division.

2. How did you use these strategies?

- I used it by multiplying and dividing the fractions.

3. Or How could you of used these strategies?

- I've used this kind of strategies because for me it's easier if i did it that way.

4. How would you figure out the price of a 6 cup bag of Betty's Snack mix? Use a ratio table

5. Find 3 other values (amounts of Snack Mix) that could be solved using the same ratio table. Find the $$ of your new container sizes.

Question 2:

Question 3:

af;dlkf;ladsjf;adjkf

Question 4:

*How much pizza does each student get in the different groups?

Group 1 would get 3/4 of a pizza.

Group 2 would get 4/5 of a pizza.

Group 3 would get 5/6 of a pizza.

Group 4 would get 7/8 of a pizza.

*Which group gets the largest portion of pizza?

The group who got the largest portion of the pizza was the group 1, as you can see the illustration in my voicethread the group has the largest portion while the 4th group got the smallest portion because the many you are the smaller portion you could get. Since the 1st group had the fewest number of person the divisions of portions they would get are larger.

*What strategies did you use in finding your answer?

The strategies I used used were the fraction illustration and the ratio table.

My Self Evaluation:

Question 1:

I think I've done my work in terms of the questions to be answered but the only thing is that I was'nt able to answer it on time. (12 marks)

Question 2:(10 marks)

Embeds the voicethread after question 1(1 mark)

Creates the voicethread to answer question(1 mark)

Add coments to further elaborate on the strategies used (4 marks)

Math work is correct in voicethread(4 marks)

Question 3:

Jullian's 2nd Growing Post

2007-12-18T10:35:00.000-06:00

1. What strategies were needed?

The strateies that were needed are Ratio Table, Multiplication, and Division.
2. How did you use these strategies?

First I multiplied the number by 5 and then divided it into 2 to get half.
3. Or How could you of used these strategies.

I could use ratio table.
4. How would you figure out the price of a 6 cup bag of Betty's Snack mix? Use a ratio table

5.Find 3 other values (amounts of Snack Mix) that could be solved using the same ratio table. Find the $$ of your new container sizes.