Justin Gacilan's Great book of Integers

Chapter 1
Grade 7 Review

(+4)+(-4)=0
You have 4 and then you owe 4 which leaves you with zero
Standard Form;
+4 - 4 = 0
Making zero pairs

-16 = +16, -5 = +5, +6 = -6, -2= +2

-10 = +10, +3 = -3, +11 = -11, -9 = +9

Chapter 2 Multiplying Integers

Sign rule;
even; when you have an even amount of negative factors, the product is positive.
odd; when you have an odd amount of negative factors, the product is negative.

-----------
(+2)x(-3)= two groups of (-3)which equals -6
------------
(+2)x(+3)=
2 groups of (+3)= +6
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(-2)x(+3)=
take away 2 groups of (+3)= -6
-------------
(-2)x(-3)=take away 2 groups of (-3)= +6
Chapter 3 Dividing Integers

Sign Rule:
If you have no negative or an even amount of negative signs in a division question, the quotient is positive.

There are 2 types of division:

Partitive Division:
Making parts

EX:
6/2=3

6/-2=-3

Quotative Division:
Sharing you total with groups

EX:
(-6)/2=-3

(-6)/-2=+3


Chapter 4 Order of Operations

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

(+5) x (-3) + (-6) / (+3) first you always follow BEDMAS so division is first in the question

after you do the multiplication and finally you do the addition.

example.

(+5) x (-3) + (-6) / (+3) = ( -17)

(+5) x (-3) + (-2)

(-15) + (-2)

(-17)

Justin Gacilan's Final Percent Post

A percent means out of 100 it can be represented as a decimal or fraction.

example - 25% means 25 out of a 100 and , or 25/100 or 0.25

4.1 Representing Percents
To be able to represent a percent you need to use a grid chart out of 100, one shaded grid chart means that all the squares shaded in represents 100%. If you want to show a percent that is larger than 100% you need to shade in more then one grid chart. To represent a percent between 0% and 1% you would shade in one square.
Fractional Percent - A percent that includes a portion of a percent.
example - 1/2%, 0.42%, 73/8%, 3/4%, 4.5%

4.2 Fractions, Decimals, & Percents
Fractions, decimals, and percents can be used to represent numbers in many ways.
Percents can be written as fraction as decimals.
example - 1/2% = 0.5% 0.5% = 0.5/100 = 0.005
150%= 150/100 =1.5 or 11/2
423/4%=42.75% 42.75%=42.75/100 =0.4275

4.3 Percent of a Number
You can use strategies like doubling,halving, and dividing by ten to find the percent of the number.
To calculate the percent of a number, write the percent as a decimal and then multiply the number.

Justin Gacilan's Volume Post

My volume post

Chapter 7.3

Popcorn Lover ;

r= d÷2 v = pi.r.r.h

r =30÷2 v = 3.14x15x15x20

r = 15cm v = 14,130cm³

Jumbo ;

r =d÷2 v =pi.r.r.h
r =20÷2 v =3.14x10x10x40
r =10cm v =12,560cm³

Chapter 7.4

Outside Circle;
r = d÷2 v = pi.r.r.h
r = 10÷2 v = 3.14x5x5x40
r = 5cm v = 3140cm³
3140cm³-2009.6cm³ = 1130.4cm³

Inside Circle;
r = d÷2 v = pi.r.r.h
r = 8÷2 v = 3.14x4x4x40
r = 4cm v = 2009.6cm³

Term 2 Reflection

Hello , my name is Justin Gacilan.

Second Term was not so good for me , due to the lack of behaviour, the people I sit with, and my responsibility to learn. I did do well on the homework textbook, and the Math textbook questions.

I learned the important stuff of what was needed such as surface areas, volumes, and percentages. Although, I enjoyed the fact that we learnt how to find the surface area, formulas, and volumes of prisms. Most of the quizzes I had done this term were pretty well, but the most important quizzes we were given I did not do so well and did not plan as expected, I would get somewhat around 81% and lower. I wished that I had asked questions to Mr.Harbeck to the problems I did not know.

For Term 3 I would like to focus more on the assignments given, study more often, (15-30 mins on a daily basis) and ask more questions if I have any problems. I will continue to catch up on work, to accomplish the goals I have wanted to achieve, doing textbook homework taught me more things then reading a picture book. It prepares me for future quizzes, tests, etc.

On most of the tests, I would be confused cause I never really read the questions properly and rush cause I worry that I won't be finished in time. Also, for this term I will post more comments on blogs, from 8-17 to 8-73.

I will also do better this term, by improving on my study skills, and sitting with different people and not sitting with the ''Dark Hole'' or as Mr.Harbeck would say ''Black Hole''.

Last Term I had learnt a lot, thanks to a friend of mine who had my back. '' Kyle ''

*My AudioBoo will be posted by the end of tomorrow.*

Justin Gacilan's Percent Scribe

(Textbook Questions - 1,5,9, - Pg. 128 - 129)


Question 1) Use hundred grids and words to describe the similiarities and differences between a percent less than 1% , a percent between 1% and 100%, and a percent greater than 100%



The difference between all of them, is that they all have different values.



Question 5:


What percent is represented by each diagram if a completely shaded grid represents 100%?







A) 3/8%

B)125 1/2%

C) 282%



Question 9)

Give two examples where a percent greater than 100% might be found in everyday life.

Ex - 1) Taking a Test / Pop Quiz that can give bonus marks.

Ex - 2) Giving more than 105% effort in a Sport.



I could not find any videos, that we're similiar to what we are doing.

Props to Emily 8-73, for like the photos.

Justin Gacilan's Show You Know Pg.97

A) Identify a whole number with a square root between 8 and 9.

A)√64 √70 √81
8 9


B) How many whole numbers can you find that have a square root between 8 and 9? Show Your Work

I can find 16 whole numbers that have a square root between 8 and 9.
√64 - √65 √66 √67 √68 √69 √70 √71 √72 √73 √74 √75 √76 √77 √78 √79 √80 √81

Ivan's Sesames Street Video

Justin G's Math Profile

Hello there, my name is Justin Gacilan, I'm a math student in Grade 8. If someone asked me if I liked math I would have to say Yes, although I'm not the best in math I always try my best. I enjoy having to learn math because math is used on a daily basis in life. The two best things I have ever done in a math class would be Adding & Subtracting, and Multiplication because like I said as above they are needed on a daily basis and help a lot.

Last year in Grade 7, the best unit I had studied would be Integers. Even they are easy to do, I did one of the best in this unit. They were easy to understand once my teacher explained what we had to do in order to succeed. The unit I struggled the most in would be answering math problems, they are the easiest to do. I just can't seem to figure out those difficult questions without the aid of a parent / guardian.

In Grade 8 I will pay attention in math class, and if I ever have a question I will ask in order to stay on task. I would like to learn about Algebra and Probabilities.