Joshua's Great Big Book Of Integers

Chapter 1

Grade 7 Integer Review

Integers can be represented with number lines or integer chips.

Negative - Blue
Positive - Red

Zero Pairs - a pair of negative and positive numbers whose sum is 0.

ex. (-8) + (+8) = 0.

This song will help you remember when to use a zero pair:
When subtracting something that isnt there, use a zero pair.

This is how we did integers in Grade 7.

Here are some questions we did.

Chapter 2

Multiplying Integers

Here we learned how to multiply integers. Here are some questions we did.

For questions needing a zero pair you can find out how many zero pairs you need by multiplying the two factors in the question without their negative or positive signs.

ex. (-2) x (+3) - 2 x 3 = 6

6 zero pairs

Chapter 3

Dividing Integers

Partative Division or groups of

If you know the number of groups, but you dont know the number in each group then that is partative division.

Quotative Division

If you know the number that is in each group, but you dont know the number of groups then that is quotative division.

You could also find the answer to a division question using multiplicated-inverse

In a division question with an even amount or no (-) signs the quotient will be positive.
In a divison question with an odd amount of negative signs the quotient will be negative.

Chapter 4

Order of Operations with Integers

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

To answer this question you will need to folow the rules of B.E.D.M.A.S. Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

First add square brackets around the expressions with a x or / to help remind you to answer them first. The square brackets means that you should answer the question in them before doing anything else.

Joshua's Term 2 Reflection

In Term 2 we learned about percents, surface area and volume. I didn't really do well in percents because I didn't study at all so my marks definitely were bad. In surface area and volume I did great! I actually understand how to do both of them and I did great on the tests. I understood what to do and I knew what the formulas were. I learned that to find the volume of a rectangular prism and a triangular prism is area of base x height. I also learned that to find the volume of a cylinder is pi x r x r = h. Next term I will listen more in math class so I could get perfect on my tests. And I will also do more blogs.

Surface Area and Volume Post

Show You Know pg. 185

Calculate the surface area of this cylinder to the nearest tenth of a square centimetre.

Show You Know pg.185

Calculate the surface area of a cylindrical waste bucket without a lid that measures 28 cm high and 18 cm in diameter. Give your answer to the nearest square centimetre.


1. What are the similarities and differences between finding the surface area of a prism and finding the surface area of a cylinder?


3. a) Draw a net for this cylinder. b) Sketch a different net for this cylinder


5. Find the surface area of each object to the nearest tenth of a square unit.


Cylinder Problems and Volume Problems



d/2=r

8/2=r

4m=r

v= π.r.r.h

v=(3.14 x 4 x 4 ) x 10

v=50.25cm^2 x 10m

v=502.4 cm^3

502.4/2 = 251.2m^3

Final Percent Post

Percents

A percent is a fraction out of 100. It can be represented by a hundred grid and written as fractions and decimals.

4.1 Representing Percents

Percents can be represented by using hundred grids. Example: 50% or 1/2.

4.2 Fractions, Decimals, Percents

Percents can be represented as fractions and decimals. Example: 50%; 50/100; 0.5

4.3 Percent of a Number

You could find the percents of numbers by using mental math stradegies. they are halving, doubling, and dividing by 10. Example: 50% of 1000 is 500. Or you can convert the percent to a decimal and then multiplying by the number.

4.4 Combining Percents

Combining percents by adding to solve the problem. Example: 6% + 4% = 10%

Heres my video:

Here is a link to help you.

Joshua's Pay It Forward

Part 1:

Paying It Forward means showing an act of kindness to a stranger, expecting nothing in return. In the movie ''Pay It Forward'' a boy in the 7th grade shows what Paying It Forward means. Mr.Simonette gives Trevor an assignment to Pay It Forward. He tries to help a homeless guy named Jerry. He also tries to help a kid that gets bullied. Also he tries to help Mr.Simonette and his mom to be in a relationship. When Trevor tried to help the kid that always gets bullied, one of the kids had a knife and stabbed him. The death of Trevor was very sad but the neighbourhood lit candles and gave flowers to show how they appriciate him.

Part 2:

My group's act of kindness was giving out candy canes, cards and gloves to the homeless. I chose this activity because since its Christmas we wanted to give out candy canes and cards. Osborne St. was a great place to do it because theres alot of people walking up and down that street. The gloves were for the homeless people that had no gloves and were freezing. We helped the homeless and also the elderly. We handed out candy canes with cards attached to them and gloves with labels saying, ''Pay It Forward''. We did the act of kindness on Saturday, December 18, 2010.

Part 3:

It went well I guess. We asked alot of people but they all said NO. But there was this one person that was thrilled and said YES. After that I felt happy because someone finally accepted the candy cane. It made my heart feel warm because the face that person made was priceless. It made my day. Even if it said ''Pay It Forward'' on the card and candy cane, we still said it.

Part 4:

Paying It Forward is a very special and important thing in life. It shows how one person can make a difference. Osborne is a very busy street with people lying on the ground, sleeping without a home. When you help one person, that person continues to pass it on to another person and then another person and so on. If everyone was like that, this world would become a better place. Without killing, drugs, fighting, stealing etc. With help, we can accomplish that goal. My act of kindness has made a difference. The person that was thrilled will pass on that happiness to another person and the gloves for the homeless helped them feel more warm in this cold weather.

PAY IT FORWARD!

Joshua's Pythagoras Scribe Post

6. Determine the length of the leg for each right triangle.

9. Tina wants to construct a path along the diagonal of her yard. What length will the path be? Express your answer to the nearest tenth of a metre.

12. The hypotenuse of the triangle cuts the circle in half. What is the diameter of the circle? Express your answer to the nearest tenth of a centimetre.

15. The coordinate grid shown was drawn on centimetre grid paper. What is the line segment of AB? Express your answer to the nearest tenth of a centimetre.

Here is a video to help you:

Here is a link to help you.

If I made any mistakes, please tell me!

Joshua's Pythagoras Scribe Post

4. What are the areas of the three squares shown?

9. a) Calculate the areas of the three squares
b) Is this a right triangle? Explain.

12. Use the Pythagorean relationship to find the unknown area of each square.

17. What is the area of the square that can be drawn on side c of each triangle?

Here is a video to help you out:


For more help check out this link.

If I did anything wrong, please tell me!

Joshua's Sesame Street Video Post

Group Members: Joshua, Jomer, Breanna

Rate: compares two quantities measured in the same units
Two Term Ratio: compares two quantities measured in the same units
Three Term Ratio: compares three quantities measured in the same units
Part to Part Ratio: compares different parts of a group to each other
Part to Whole Ratio: compares on part of a group to the whole group
Unit Rate: a rate in which the second term is one
Unit Price: used when shopping
Proportion: a relationship that two ratios or two rates are equal



This is our video:




This is the real video:

Joshua's Math Profile

Hi. I'm Joshua Simangan. If someone asks me, "Do you like math?" I say, "Are you kidding me, no." I know math is very important for me in the future, but still, i dislike math alot. The most favorite thing I did in math class was when Isfeld was teaching us how to do the blog and a girl in my class suggested if we could use a Justin Bieber video as an example. When some of the girls were screaming, the rest of the class and me were covering our ears. It was hilarious. I liked this event because we got a lesson and a laugh.

The unit last year that I was great at was coordinate grids. I would always get perfect on coordinate grid tests. It was so easy I thought a Grade 1er could do it. I probably did well on this unit because I would always study on it because its so easy. The unit I struggled on last year was fractions. I would always get pretty bad marks on the fraction tests. On that term, I hardly studied to get better. So, for me to get better at fractions, I have to study harder. That's what I'm gonna do this year.

This year, I'll try to be less lazy and actually study for tests. Last year, I didn't do alot of that. So that's how I'll improve. This year I'd like to learn more about what those buttons mean on the calculator. For example, log, sin, etc. I have no idea what they mean.

This is my favorite blog: http://room44math09.blogspot.com/2010/05/measures-of-central-tendency.html. Blogging made me a better student by, teaching me how to finish the blog fast and not 9:00pm so your classmates can comment on it, it teached me how to be more organized when making blogs, and it teached me that the more blogs you do, the more marks you get. ;). What I want to do more in math class on the computer is fun math games. We could be educated while still having fun.