Monday, December 20, 2010

Percents,Decimals and Fractions

I'm having a bake sale and I baked 40 cookies but only 26 where sold.Now how do I show this as a fraction , decimal and percent ?

This is how you make it a fraction :

You can see that you can split 40 and 26 into 2 or divide it by 2 . So you take 40 and 26 and dived it by 2, you do these to both of numbers because what ever you do one number you have to do it with the other number. So if you divide 40 by 2 you get 20 and if you divide 26 by 2 you'll get 13 . So thats your answer 13 over 20 .

This is how you make it a decimal :

This is how you turn13 over 20 in to a decimal number. You have to divide 13 and 20 by 20.You divide it by 20 because the denominator which is 13 always has to equal a decimal number . So if you divide 20 by 20 you get 1 and if you divide 13 into 20 you get 0.65 so thats your answer 0.65 .

This is how you make it into a percent :

This is how you turn it into a percent.You take 13 over 20 and you divide it by 5. You have to divide it by 5 because the bottom number which is 20 has to equal the number 100 because percent means it's out of 100 .So if you divide 20 times 5 you get 100 and if you divide 13 by 5 you get 65 and thats your answer 65 percent.

















Tuesday, December 14, 2010

percent, decimal, fractions

































percent is out of 100
this % also means percent making it out of 100 too.
Decimal is out of 1.
Fractions are out of any whole number.
Equivalent Fractions are when the fractions, decimals, and percentage are all equal to each other.
To figure out what the percentage in the decimal point is you have to take the number on the top divide by 100 then do the same to the bottom .
for example





























































December 10, 2010.


Percent- means out of 100


30% means 30 out of 100 or 0.30 or 30/100.













Loading Strip - used to answer questions like 50% of 20%.







Percent on top of number of body




Write the following percents as decimals:



100% =1



50%=0.50



25%=0.25



10%=0.10



62.5%=0.625





Using a loading strip model:



10% of 72.40

























Ratio Table- is a loading strip turned sideways.






Find 60% of 90:

Here is a link that might help



Tuesday, December 7, 2010

Questions 8, 9, 10






Question 8: A)




















B)










Question 9: A support must be placed under the pool table at centre. Make a sketch of the pool table. Draw the position of the perpindicular support. Label the support and label the measures of the table lengths on each side of the support.

Question 10: You can draw a perpindicular bisectior of a 30-cm line segment. You then draw a perpindicular bisectopr of one of the bisected line segmentS.
A) What is the length ofthe shortest line segment? 7.5
B) How does the legth of the shortest line segment compare to the length of the original line segment? It is a quarter of the original.

Questions for 16 and 17

16.) What is the area of the triangle?
a.) A= b x h (base times height)
6 m is the base and the 2 m is the height.
After you multiply 6 m and 2 m, it's going to give you 12m.
Then, you will have to divide 12m to 2. It will give you 6 m.
The answer is, 6m²
b.) b=5.2m, h=5.3m
b x h
5.2 x 5.3
= 27.56
--------------
2
= 13.78 m²
The line you see the above 2 and below 27.56, that means divided by.

17.) Aleta has a pasture for her horses. The pasture runs alongside a creek a shown.


a.) What is the approximate area of the pasture?
Explain how you determined your answers??

The answer is .88km²
1.1 x 1.6
=1.76
------
2
= .88 km²
I got the answer by multiplying the base and the height and divided it by /2
and i got the answer of .88
I got the answer by following the formula of area of triangle.

Here's a video, If you can't still understand.

Answers for Textbook pages 1-7

1. Describe lines that intersect at 90 degrees.
- Perpendicular.


2. Describe lines in the same plane that never intersect.
- Parallel

3. A line that divides a line segment in half and is at right angles (90 degrees) to it.
- Perpendicular bisector


4. A line that divides an angle into two equal parts.
- Angle bisector.

5. A part of a line between two endpoints.
- Line segment.


6. Which of the following are parallel, and which are perpendicular?
a) parallel
b) perpendicular
c) perpendicular
d) parallel

7. Copy these line segments into your notebook. Draw two perpendicular line segments and two parallel line segments for each.

a)








b)





textbook numbers 14 and 15



This is question to number 14 in your textbook!



What is the area of each parallelogram?






a) base 5m and height 3m



area = b*h



area = 5m*3m



area = 15m squared Area is 15m squared.



This is question to number 15 in your textbook!


In the flag of Congo-Brazzaville, the length of the rectangle is 2.7 times the base of the yellow parallelogram. How do the areas of the rectangle and the parallelogram compare? Explain.


Well, the area of the rectangle is b*h and same with the parallelogram both the rectangle and the parallelograms height are the same but the only difference is that the length of their base are different which means that the rectangle is always going to be 2.7 times bigger.

Here's a link that might help you if your still struggling!!!

http://http://www.ixl.com/math/practice/grade-7-area-of-rectangles-and-parallelograms


And here's a video to, hope you like it!


Monday, December 6, 2010


EVERY triangle is half of a parallegram we know the formula to find the area of a parallelogram is base times height. so the formula for the area of a triangle is half the area of a triangle base times height divided by

A=B x H line manes divided by height
2
height of triangle perendicular


line from base to opposite angel

Friday, December 3, 2010

Area of a Triangle

How to find the area of a triangle?

You find the area of a triangle by base times height divided by two.

b * h / 2

The proper way you write it is:

A = b * h
2

A triangle is always 1/2 of a parallelogram. So the triangle's area is the half of a rectangle's area.
Here is a 3 x 3 grid with a triangle.
First, you figure out what the height is. (THE BASE IS NOT ALWAYS THE BOTTOM!)
You have to find out where is it perpendicular. ( REMEMBER, THE HEIGHT IS ALWAYS PERPENDICULAR TO THE BASE.)Then, measure the height which is 3 cm.. Measure the base which is 3 cm.. Multiply the base and the height which is 9 then divide it by 2. You got the area which is 4.5 cm square.

A= b *h
2

A= 3 *3 / 2

A= 9 / 2

A= 4.5 cm. square



These are ways to know if the triangle belongs to a square-rectangle, rectangle, and parallelograms.

Square/rectangle - One 90 degree angle.Two 45 degree angles.
Parallelograms- No 90 degree or 45 degree angles
THESE ARE THE TRIANGLES!! NOT THE 4 SIDED FIGURES!!

Do you see this colored word? Press it. I LOVE BASEBALL!! ( THIS IS A LINK!!)

This guy is awesome at explaining the area. I watched it and I hope you will too. :)
If I'm forgetting something please leave a comment. Put an honest comment. OK! I'll appreciate it.

Thursday, December 2, 2010

Questions 4 to 6

4.) Determine the area of each parallelogram.



They are drawn on centimetre grid paper.







a)
A = b x h
A = 2x4
A = 8cm squared






b)




A = b x h




A = 3 x 5




A = 15 cm squared








5.) Draw each of the following parallelogram on centimetre grid paper.




Use the formula to determine the area of each parallelogram.




Check your answers using estimation.














a) b = 4cm , h = 5cm









A = b x h



A = 4 x 5



A = 20cm squared









b) b = 3cm , h = 7cm





A = b x h

A = 3 x 7

A = 21cm squared



















6.) Draw each of the following parallelogram on centimetre grid paper.
Use the formula to determine the area of each parallelogram.
Check your answers using estimation.



a) h = 6cm , b = 4cm







A = h x b

A = 6 x 4

A = 24cm squared

Wednesday, December 1, 2010

Questions 10-12

10) A parallelogram-shaped stripe is going to be painted on the wall of a daycare center. There is enough paint to make a stripe with an area of 9m². How high can the stripe be?

The answer is 6m²
All you have to do is divide 9 by 1.5
9 ÷ 1.5 = 6

11a) With a ruler, measure the base and height of the parallelogram. Explain how you measured.

The parallelogram looks something like this:

First, measure any of the 4 sides and remember that it is your base (b). Then, measure the line perpendicular to it, and that is your height (h). In this case, the base is the vertical left side, and the height is the top horizontal side.

11b) What is the area?

b = 2cm h=1.5cm
2cm × 1.5cm = 3cm²

11c) Use a different side of the parallelogram as the base. Determine the new height and calculate the area.

Use the vertical right side as your base, and use the bottom horizontal side as your height.

b= 2cm h= 1.5cm
2cm × 1.5cm = 3cm²

How does this compare to your answer b)?

They are both the same answers, because the sides of 11b) are equal to the sides of 11c), making the opposing sides parallel (bottom and top horizontal lines parallel, left and right vertical lines parallel).

12) Which of the 2 shapes shown below has a greater area? Explain your answer.


The picture looks like this:















Both of these shapes have an equal area, because their length and base are the same distance apart, and they are both perpendicular.

Here is also a link to help you with the Area of a Parallelogram

And a video to help too.


1-3


1-3

1. Explain why the area of a rectangle and the area of a parallelogram made from the rectangle are the same.
Answer: They are the same length at sides .

2.
Deepa determined the area of this parallelogram to be 5cm sq

3.
These parallelograms are drawn on centimetre grid paper. What is the area of each
parallelogram?
a)3cm square
b)6cm square

Here is a video to help you :




Here is a link to help you :
http://www.xpmath.com/forums/arcade.php?do=play&gameid=11

Here is a photo to help you: