Mark's Algebra Post

The steps on doing One Step Equations:

1)Solve by Inspection-

3+n=5

We now have to Isolate the variable

3+(-3)n=5-3

There is a rule you need to follow doing algebra and it is, what you

do on one side of the equation, you must do the same thing to the other side of the equation like the example shown above.

n=2

The last thing you do to solve this is to verify.

3+n=5

3+2=5

5=5

Using Algebra Tiles:

Now Two Step Equations:

1)Using Inspection

4x+1=17

4x+1-1=17-1

4x=16

4x/4=16/4

x=4

Now you MUST verify:

4x+1=17

4(4)+1=17

17=17

Algebra Tiles:

Mark's Great Big Book of Integers

Chapter 1 Grade 7 Integer Review

If something is not their, use a zero pair!

Grade 7 - (+7)-(-3)=

Standard - 7 - (-3)=

Chapter 2

Chapter 3

Dividing Integers

Partitive division is creating groups of numbers.

(-6)/(-2)= +3 (-6)/2= (-3)

Quotative division is sharing numbers in groups.
(-6)÷2=

Multiplicative Inverse - Rewriting a division question to a multiplication question. It helps you when you cant find a way to use quotative division or partitive division to solve an answer.

Example :

6÷(-2)=(-3) Since I can not share 6 with (-2) groups, I use the Multiplicative Inverse

(-2)x(-3)=6

(-3)x(-2)=6

Chapter 4

Order of Operations with Integers

To solve (+5) x (-3) + (-6) ÷ (+3)= you would have to use BEDMAS

first you would divide the answer using square brackets.

Remember, square brackets are the first thing you do.

From then, you would keep shortening the question until you get an answer

Ex. (+5) x (-3) + (-6) ÷ (+3)=

[(+5) x (-3)] + [(-6) ÷ (+3)]=

(-15)+(-18)=

+33

AudioBoo

3 Cylinder Problems

____________________________________________________________________

Cylinder Volume and Volume Problems

r=d/2
r=0.26/2
r=0.13

a=Pi.r.r

a=3.14.0.13.0.13
a=0.053066cm^2

v=a of b x h
v=0.053066cm^2 x2.4m
v=0.127m3

0.127x35=
5cm^3( I rounded)















b x h/2
1.7x1.4=2.38m/2
=1.19m^2

area of the base x height
1.19m^2 x 1.18m=
1.4042m^3

14042m^3 x 16=
22.47cm^3

a)Yes he does.
b)22.47cm^3

Final Percent Post

Percent:


Means it's out of a hundred or another name for hundredths, it can also be represent as a decimal or as a fraction.


Ex. 50% means 50 out of 100 or 50/100 or 0.65


Representing Percent


A percent can be represented on a hundred grid.
ex. 20%


































Decimals, Fractions, and Percents

Percents can be written as a decimal or a fraction.

ex. 1/2=50% 25%=0.25



Percent of a Number

You can use mental math strategies such as doubling, halving, and dividing by ten to find the percent of some numbers.

ex. 12 1/2 of 50%= 0.125x 50= 6.25



Combining Percents

Percents can be combined by adding to solve problems.
ex. 3%+5%=7%



You can add the combined percent amount to the original number to find the increase in a number.

ex. 10% of 100= 0.10 x 100=10 100+10= 110



You can multiply the original number by a single percent greater than 100.

ex. 110% of 100 = 1.10x 100 = 110



Percents of percents can be used to determine amounts that result from consecutive percent increases or decreases.








Here's my percent video :D


Click here to go to a site that will hopefully help you understand more about percents.

Mark's Pay it Forward

Part 1

Pay it Forward is a way to show people that you are there for them and you are willing to do whatever it takes to satisfy them. Pay it Forward is something you do for someone that is in need of help, and in turn for helping them, they will try to Pay it Forward to someone else. This is basically a tree that keeps going on and on because after you Pay it Forward to someone, they Pay it Forward to someone else and it forms a chain.

Part 2

My Pay it Forward act of kindness was to send a soldier a letter that hopefully helps them in their situation.

I chose this activity because I'm pretty sure the soldier would have been pretty down because they are not near their loved ones near Christmas time and I just wanted them to be happy for Christmas.

I helped a soldier that is in need of being happy and is not near their family.

In the letter, I told the soldier that when he or she comes back home, their will be people waiting for you safe arrival and Thank You for everything.

I did my act of kindness on Friday December 17, 2010 and mailed it on December 18, 2010.

Part 3

My act of kindness went pretty good, better then I expected because when I saw the letter and read the letter I made, I was very surprised of what I have done and what it will do to a soldier.

I felt joyful at the fact that some soldier will be happy and have something to look forward to.

I did not ask the soldier to Pay it Forward in the letter because they already are Paying it Forward, risking their lives for us.

Part 4

The idea of Pay it Forward is to show people that they have someone to lean on when they are down, and so we have the looks and feelings of a perfect world.

I'm confident that my act of kindness will make a difference during the time a soldier reads it. He or she will hopefully have a smile on their face and never think of the fact that they are away from their loved ones.

Now after reading this, please Pay it Forward if you haven't already. But if you have Payed it Forward already, please continue to Pay it Forward for there is more people in need of a smile.

135 - 136 Odds

1. 0.003 to a percent:
0.003 x 100= 0.3
0.3%
Jordan is correct.

3. They can be both correct. Here is an example of a problem that says Mark's team scores 500% more goals and Jonas says they scored 5x more goals.

Mark's team scores 5 goals while the other team scores 1.










5.















7.













9.














Here is a video about converting fractions, decimals and percents.

Scribe 2- Square Numbers

Show You Know- Pg.83:
Determine the area of a square with a side length of 16mm.
Answer: 256mm2
How: I multiplied or squared 16 by itself so it looks like this:
16x2 or 162 =265m2

Page 85 Questions 2, 6, 11, 15
2)How would you use prime factorization to determine the square root of 225? Compare your answer with a classmate's.
You would make a tree that had 225 on top of the tree then from there you divide until you get prime numbers.

6) a: 64
/ \
8 x 8
/ \ / \
4x2 x 4x2
b: Yes because the side are equal.
c:








11) What is the square of each number?
a: 9- 9x9= 81
b: 11- 11x11= 121

15) Evaluate. -- Definition of Evaluate:
to ascertain the numerical value
a)











b)










c)











Click here for a math site that will help you in square roots and squares.

Here is a video that will help you in square rooting.




Here is a picture displaying an example of prime factorization.

Mark's Sesame Street Video Post

Group Members: Mark Castillo and Brandon Arano

Two Term Ratio: compares 2 quantities measured in the same units.
ex.
or 1:2 or 1/2 or 1 to 2


Three Term Ratio: compares three quantities measured in the same units.
ex.
or 1:2:3 or 1 to 2 to 3



Part to Part Ratio: compares different parts of a group to each other.
ex.
or 1:1 or 1 to 1


Part to Whole Ratio: compares one part of a group to the whole group.
ex.
1/2 or 50% or 0.5 - A part to whole ratio can be written as a fraction, a decimal, and a percent.

Rates: compares two quantities measured in different units.
ex.
$2.00 per 10g or $2.00/10g- rates can be used when buying food.

Unit Rate- a rate in which the second term is one.
ex.
20km an hour or 20km/hr

Unit Price- a unit rate used when shopping.
ex.
per 100g or per 100ml

Proportion- a relationship that says that two ratios or two rates are equal.
ex.

- Proportion can also be written in fraction form.







Here are some sites that will help you with the following terms.
Rates(Unit)
Proportion/Ratio and mostly all the definition up top.

Mark's Math Profile

Hi, My name is Mark ALDRIN Castillo and I'm a Math Student in gr. 8. If someone asked me if I liked math I would say, "Yes and No." because Math will help you in the future and will help you in other subjects and at the same time it's pretty hard to learn math and gets frustrating at sometimes. My favourite part of math class is when we got to learn a bit of Algebra last year with Mr. Isfeld because I really enjoyed the challenge on how to do Algebra.

Last year in gr. 7 I really enjoyed learning how to add Mixed Fractions because at first it was really challenging for me until I got some help from my friends and now I might say I'm pretty good at it. Last year I struggled on Algebra because the fact that you have to find what a letter stands for is really confusing to me.

This year in gr. 8 I will study and get some help if I don't get something to be a successful math student. I look to be learning more about Algebra because I heard from some students that in High School Algebra will be a big factor in your grading and I want to do well.

Last year, I did a few blogs and there was one particular site that I found really interesting and helpful, YouTube Video. I found this video really helpful in learning how to do Algebra and it's very understandable. Blogging really helped me to become a better Math student because it's like a second lesson because you'd have to read over your notes to blog. This year I would like to know more tips and tricks on how to blog better in Math computer class.