Jieram's Great Big Book of Integers

Chapter 2
Grade 7 Integer Review

An Integer is what is more commonly known as a Whole Number. It may be positive, negative, or zero, but it must be whole. You can use Integers on a number line or using integer chips.

Integer Chips









If you're Subtracting something that isn't there use a Zero pair.

1) -4 - (-8) = +4
2) -7 - (-9) = +2
3) -3 - (-7) = +4



Number Line














Chapter 2
Multiplying Integers

Sign Rule
If the product of two integers with the same sign the answer would be Positive
Example: (+2) x (+5) = +10

If the product of two integers with the different sign the answer would be Negative
Example: (+2) x (-5) = -10

Chapter 3
Dividing Integers

Partitive Division is when you divide it into parts








Qoutative Division - Sharing with group













Chapter 4
Order of Operation with Integers

To solve problem like these:

-24+[(-8)/(+4)]=

(+5) x (-3) + (-6) ÷ (+3)=

You'll have to use BEDMAS
Brackets, Exponents, Division, Multiplication, Addition, and Subtraction

Jieram's Cylinder Homework

Cylinder Volume and Volume Problems

a)

d/2 = r

10/2 = r

5cm = r

V= (π . r . r).hr

V= 3.14 . 5 . 5 = 78.5cm²
V= 7.85cm² . 20cm= 157cm³

b)

d/2= r

1/2= r

0.5m= r

V= (π . r . r).h

V= 3.14 X 0.5 X 0.5 = 0.785cm²
V= 0.785cm² . 1 = 0.785cm³

c)

d/2= r

18/2= r

9cm= r

V= (π . r . r).h

V= 3.14 . 9 . 9= 254.34cm²

V= 254.34cm² X 7.5cm= 1907.55cm³

First Container

d/2= r

20/2= r

10cm= r

V= (π . r . r).h

V= 3.14 . 10 .10= 314cm²

V= 314cm² X 40cm= 12560cm³

Second Container

d/2= r
30/2= r

15cm= r

V= (π . r . r).h

V= 3.14 X 15 X 15= 706.5cm²
V= 706.5cm² X 20cm= 14130cm³

Jieram's Pay It Forward

Part 1

The movie Pay it Forward is a movie an 11 year old boy named Trevor. He tries to make a difference in the world for the better, after receiving an assignment given by his social studies teacher, Mr. Simonet. His plan is to do something nice for three people. Instead of paying Trevor back, the three people have to "pay it forward" to three other people each. It shows that the group made a big difference on people who receive the favor and to those who were paying it forward. By the end of the movie, the "Pay it Forward" group grew really big as more people paid their job to Trevor who died from a fight.

Part 2

Our pay it forward act was to donate clothes and toys. We chose this activity because some people can’t afford the the stuff we have access to everyday. So the more we donate, they will have more access to the stuff we have today. We helped all the people without clothes or toys. We did this project on December 19, 2010.

Part 3

Our act of kindness went very well. We had to wait a few minutes outside for people to answer the door though. We felt very happy and feel like doing another project like this again. The person reacted maturely, and was smiling brightly. We were going to ask the people to “Pay It Forward” but we couldn’t because the thrift store was going to close soon.

Part 4

The "Pay It Forward" activty is important because lots of people without homes can't have anything wealthy people can. Our act of kindness helped people without clothes and toys. It even helped them celebrate Christmas because of the toys we gave them. It also prepare them for the winter because we gave them clothing. They are lucky we gave them coats because winter is very cold.

Homework Book Page 42-43 Questions 7-8

7. Estimate the following answers, then calculate. Show your thinking.

a) Miguel bought a car for $4700. He made a down payment of 19½%. How much was the down payment? Estimate: $1000 Calculation: $916.50

b) About 5.6% of Canadians have type 2 diabetes. If Canada's population is 32 million, about how many Canadians have this condition? Estimate: 1 600 000 Calculation: 1 792 000

c) The 4900-seat hockey arena was 63% full. How many people were at the game? Estimate: 3000 Calculation: 3087

8. The Nile River is about 209% the length of the Yukon River. If the Yukon River is 3168 km, how long is the Nile River (to the nearest km)? 6621 km

Jieram's Estimating Square Roots

Pg. 99 #4 and 5

4. Estimate the square root of each number,

to one decimal place. Check with a calculator.

a) 72 b) 103 c) 55

answers: a) 8.5 b) 10.1 c) 7.4

5. Estimate each value, to one decimal place.

Check your answer with a calculator.

a) √14 b) √86 c) √136

answers: a) 3.7 b) 9.3 c) 11.7

Jieram's Sesame Street Video Post

Ratio


Two Term Ratio
- compares two quantities measured in the same units.
ex. X:Z, 1:2, 2 to 1


Three Term Ratio
- compares three quantities measured in the same unit.
ex. X:Z:Y, 1:2:3, 2 to 1 to 3



Rates

Rates
- compares two quantities measured in different units.
ex.(Shopping) $ 0.98/1 gas

Unit Rate
- a rate in which the second term is one.
ex. 20Km/h

Unit Price
- a unit rate used when shopping.
ex. $9.00/grams

Proportional Reasoning

Proportion
- a relationship that says that two ratios or two rates are equal.
ex. 3Km/2h = 12Km/8h

Jieram's Math Profile

Hi, my name is Jieram Ramos and I am a Grade 8 math student. If someone were to ask me if I liked math, I would say yes. I really like solving problems such as fraction, multiplication, decimals and many more. I LOVE MATH! its just that sometimes it confuses me.

Last year in grade 7 I learned about integers, it was really easy and I enjoyed playing with the chips, I also did well on my tests and quizes. Other thing I like about math are Mean, Median, Mode and Range, they are easy to solve. I didn't like the unit that you have to find the diameter and radius using pi I think its called circumference.

This year I am going to focus and study hard for my tests and quizes, get all my homework done. This year I expected to be more challenging so I can study more harder and I want to be successful on this subject.

Last year the blog I did was not very good and I know this year we're going to put more blogging. Blog helped me with my homework it also made me a better student. This year I want to play more about math games like last year.