Paulo's Algebra Post

Variable - a letter that represents a number in an algebraic equation or expression

Constant - the integer in an algebraic expression or equation

Expression - pattern, many answers ex. 5x, 5x5

Equation - only has one answer, has an equal sign ex. 5x=25, 5x5=25

Steps:

1) Isolate the variable.

2) Cancel using the opposite of the number. ex. (+2)'s opposite is (-2)

3) Constant is cancelled with the zero pair.

4) Balance, do the same operation on the other side of the = sign.

5) Verify to check. (equality)

One Step Equations

x+2=2

x+[2-2]=[2-2]

x=0

Verify:

x+2=2

0+2=2

2=2

6=2x

6/2=2x/2

3=x

Verify:

6=2x

6=2(3)

6=6

Two Step Equations

7=4x+3

[7-3]=4x+[3-3]

4/4=4x/4

1=x

Verify:

7=[4x1]+3

7=[4+3]

7=7

2x+1=5

2x+[1-1]=[5-1]

2x/2=4/2

x=2

Verify:

[2x2]+1=5

[4+1]=5

5=5

Solving One Step Equations

Solving Two Step Equations

click THIS. It's very helpful (;

Paulo's Great Big Book Of Integers

Chapter 1 Grade 7 Integer Review.

A zero pair is when you have a postive and a negative which when added creates 0.

ex. (+6)+(-6) (+16)+(-16) (+10)+(-10) (+63)+(-63)

Grade 7 Integers.

(+) Positive means you have.

(-) Negative means you owe.

( ) The brackets are like training wheels.

The standard form of integers is +5-5.

The pure standard form is 5-5.

Chapter 2 Multiplying Integers

If the brackets are touching, you have to multiply.

ex. (+2)x(+4) or (+2)(+4) or 2(+4) <- Standard Form.

You can use repeated edition to solve/answer.

ex. (+2)+(+2)+(+2)+(+2) or (+4)+(+4)

(+2)x(+4)=(+8) OR 2 groups of 4 is 8.

If the first number is a negative, you need to multiply the two numbers and then you have to remove.

Chapter 3 Dividing Integers

(+15)/(+3), 15/3, how many groups of 3 are in 15?, how many 3's go into 15?

Partative Division is when you divide into parts

Quotative Division is when you make groups

Chapter 4 Order of Operations with Integers

You can solve (+5)x(-3)+(-6)/(+3) by using bedmas.

Paulo's Term 2 Reflection

In term 2, we learned about finding the surface area and the volume of a rectangular prism, triangular prism, and cylinders. We also learned about percentage. I kind of had problems on finding the surface area because we had to find the area of each side of a prism and a cylinder. I had lots of fun with volume because it was really easy to find the volume of prisms and cylinders. I improved a lot this term, my mark went up by 6.

In term 2, i kind of improved on doing my homework. This term I probably did 75% of all the homework i was assigned. The only thing i didn’t do this term is comment on blogs because i get really lazy.

In term 3, I will try to comment on all the blogs and improve my mark more so I can make my parents and teachers proud.

Paulo's Cylinder Homework

Cylinders

Cylinder Volume and Volume Problems
7.3
r= d/2
r= 8m/2
r= 4m
v= r.r.π.h
v= 4m x 4m x 3.14 x 10
v= 502.4m^3
answer = 502.4m^3 / 2 = 252.2m^3
7.4

v= l.w.h v=10cm x 16cm x 10cm v= 1,600cm^3
v=l.w.h v=5cm x 6cm x 10cm v=300cm^3

1,600cm^3 - 300cm^3 = 1,300cm^3

Paulo's Percent Review Video

A percent means out of 100 and it also another name for hundreths

Ex. 75% means 75/100, 75 out of 100, or 0.75

4.1 Representing Percents

Representing percents means showing a percent as a picture in a hundred grid

Ex. 25% on a hundred grid, 25 squares of the grid would be shaded so its 25%

4.2 Fractions, Decimals, and Percents.

- Fractions, Decimals, and Percents can be used to represent numbers in various situations

- Percents can be written as a fraction and as decimal

Ex. 1/2% = 50%, 0.5% = 0.5/1000 = 0.005, 150% = 150/100 = 1.5, 42 3/4 = 42.75% = 42.75/100 = 0.4275

4.3 Percent of a number

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

- To calculate the percent of a number, write the percent as a decimal then multiply by the numbers

Ex. 12 1/2% of 50, 0.125 x 50 = 6.25 (12 1/2% = 12.5% = 0.125)

4.4 Combining Percents

- Percent can be combined by adding to solve problems ; 5% + 7% = 12%

To calculate the increase in a number you can add the combined percent amount to the original number.

Ex. 12% of 100 = 0.12 x 100 = 12, 100 + 12 = 112

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

Ex. 112% of 100 = 1.12 x 100 = 112

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

Understanding Percents

My Percent Review Video

Link about representing a number as a fraction, decimal, and/or percent.

* percents are cool and paulo is cool too :)

Paulo's Pay it Forward

Part 1
(Movie summary)
'Pay it Forward' is a way of helping people without expecting anything back from them. The idea came from this movie called "Pay it Forward" where this kid named Trevor was given an assignment to make the world a better place.

Part 2

What was your Pay It Forward act of kindness?
My Pay it Forward act of kindness was to help winnipeg harvest.

Why did you choose this activity?
I chose this activity because winnipeg harvest help alot of people with no food.

Who did you help?
i helped sort out food at winnipeg harvest and the food got sorted into different boxes. These boxes go out to people that have no food.

What did you do?
I volunteered at winninpeg harvest, which then the food goes out to the hungry people

When did you do your act of kindness?

I did my act of kindness on Saturday Dec 18, 2010.

Part 3
How did your act of kindness go?
My act of kindness went pretty good.

What happened?
I helped winnipeg harvest.

How did you feel?
I felt good helping winnipeg harvest.

Did you ask the person or people to "Pay It Forward"?
nope, i forgot to. ):

Part 4
Why is the idea of "Pay it Forward" important?
The idea of "Pay it Forward" is important because if you pay it forward, you can help a lot of people.

Has your act of kindness made a difference?
I don't really know, but i hope it did make a difference. (:

Paulo's Textbook Post page 110-111 numbers 3 7 11

a) Maria walked 420m

b) Walter walked 323m

c) Maria walked 97m further.

c² - b² = a²

80² -79² = a²

6400 - 6241 = a²

159 = a²

√159 = √a²

12.6 = a

The minimum distance is 279.1cm and the maximum distance is 291.7cm

Pythagoras Theorem

Triangles

Explain a² + b² = c²

a² + b² = c²
(3cm)² + (4cm)² = c²
9cm + 16cm = c²
25cm² = c²
√25² = √c²
5cm = c

To get the hypotenuse of a triangle, you need to use the formula a² + b² = c²

To find square root of 25, you need to use a calculator or watch this video :

Website about Right Triangles


I hope my scribe helped you.. ;D
oh yeah , the homework is the 6cm x 8cm thing
* to get ² you need to alt+253

Paulo's Sesame Street Video Post

Ratios
Two Term Ratios
compares two quantities measured in the same units
ex. A:B, 9:18, 18 to 9

Three Term Ratios
compares the quantities measured in the same units
ex. A:B:C, 9:18:81, 81 to 18 to 9

Rate
- compares 2 quantities measured in different units

Unit Rates - a rate in which the second term is one
Unit Price - a unit rate used when shopping
ex. 3words/1h, $1/m

Proportion
- A relationship that says two ratios or two rates are equal
- it can be written in fraction form
ex. use it to find cost of 15 donuts if 5 cost $0.10
5 / $0.10 = 15 / $x ; x = $o.30 ( multiply 5 by 3 and $o.10 by 3 )

Paulo's Math Profile

Hello, my name is Paulo Lacap and I am a Grade 8 math student. If a person asked me if I like math, I would say yes because I really like and enjoy solving fractions, multiplication, decimals, and many many more. The best thing that I ever did in math class was play with a spinning spinner to find the experimental probability.

Last year when I was grade 7, I REALLY REALLY liked the unit about integers because it was very easy and I did kinda good on the tests and quizes. I really enjoyed using bingo chips to talk about zero pairs. The unit that made me struggle REALLY REALLY bad was the unit about circles because I always get confused about the formulas.

This year to be a very succesful student math student, I will study for all my tests or quizes, ask my teacher for help if i don't know how to do something, and get all my homework done before it is due. This year, I want to learn about the things I will be learning in grade 9 and to learn more about fractions.

In grade 7, my favorite blog was.. CLICK HERE TO VIEW MY FAVORITE BLOG. It may not be very good or perfect, but i will try to make better blogs this year. The blogging helped me become a better student because it kinda helped me with my homeworks, like when i forgot the textbook pages for homework i can just check the blog to see the pages. This year I want to do computer activities such as playing games because it can help me know more about a topic and because it REALLY REALLY makes learning more fun. (: