Ryan's Great Big Book Of Integers

Chapter 1:

Grade 7 Integer Review

Integers could be express using a number line or integer chips.

In integers, when adding both positive and negativewith the same number they will cancel each other out making the answer a zero.

eg. (+5) + (-5) or (-5) + 5

The brackets for the integers are like training wheels for making equations more understandable
but mostly we need to use standard form.

eg. (+6) + (-6) In standard form 6 -6

Chapter 2:
Multiplying Integers

The Sign Rule:

When you have an even number of negative factors, the product will be POSITIVE.
eg. (-4) x (-4) = +16

When you have an odd number of positive factors, the product will be NEGATIVE.
eg. (+5) x (-4) = -20

Ways of showing how to multiply integers:

Positive x Positive = Positive: (+2) x (+3) = +6 , (2) x (3) = 6 , (2) (3) = 6
or
2(3) = 6
or
2 groups of (+3)

Negative x Positive = Negative: (-2) x (+3), remove 2 groups of (+3)

Negative x Negative = Positive: (-2) x (-3), remove 2 groups of (-3)

Chapter 3:
Dividing Integers

The way of reading the dividing integers is:
- How many groups of __ are in __?
- How many __'s go into __?

Partitive Division - The making of groups or parts.

Quotative Division - Sharing with groups.

The quotient of the two integers with the same sign der of Operations with Integers

B.E.D.M.A.S. is used to do the order of operations for integers which stands for:

Brackets
Exponents
Division
Multiplication
Addition
Subtraction

eg.
(+5) x (-3) + (-6) ÷ (+3) =

[(+5) x (-3)] + [(-6) ÷ (+3)] =

(-15) + (-2) = -17

Ryan's Term 2 Reflection

In term 2 I learned about 3 things. We learned about surface area of a rectangular prism, triangular prism, and a cylinder. I also learned about the volume of the two prisms and the cylinder. We also learned about percentage. One thing I kind of had problems with was mostly finding the surface area of a triangular prism because it has 2 shapes. The easiest part was finding the volume. I almost got 100% on all the quizzes this term.

This term I finished all my assignments except for commenting on other people’s blogs. I did very well in the section of volume. I completed all my math work and I will continue to do so.

In term 3 I will study even more than I do usually. Next term I will try to comment more. I will also try to make more better blog work. I will try to get even better grades for this subject and also the other subjects as well. I will try to finish all the textbook pages I am assigned in class.

Ryan's Surface Area Post

Triangular Prism


first you need to find the numbers you need for the formula bxh/2



two triangles
bxh/2
5x7=35/2=17.5
5x7=35/2=17.5

Next is lxw



4x6=24
4x6=24
4x6=24

TSA:17.5+17.5+24+24+24=107

Rectangular Prism


lxw
4x4=16
4x4=16
4x4=16

TSA:16+16+16=48

Volume

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

v= 502.4m3 / 2 = 252.2m3
v= 7.4

v= l.w.h

v=10cm x 16cm x 10cm

v= 1600cm3
v=l.w.h

v=5cm x 6cm x 10cmv=300cm3
v= 1600cm3 - 300cm3 = 1 300cm3

Ryan's scribe post

I did the numbers 5,6, and 9

5. a) 1.3

b) approximately 144.88

c) $219.63

6. a) 3.25

b) 150.8

c) 191.259

9. The elevation of mount Logan is 5957.73m. This was kind of difficult for me but Angelo was here to help me.

Ryan`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.

Ryan's pythagoras scribe post

2.) A triangle has side lengths of 7cm, 11cm, & 15cm. Explain how you can determine whether it

or not it is a right triangle.

a² + b² doesn't equal to c². This isn't a right triangle

7) The sides of a right triangle measure 9 cm, 12 cm, and 15 cm

a) What is the area of each square attach to the three sides of the right triangle?

81 cm2 and 144cm2

b) Write an addition statement showing the relationship between the areas of the three squares?

81+144=225

c) Describe, using words and symbols, the relationship between side lengths of each square?

I'm sorry but I lost my paper for this one

14) Show weather each triangle in the table is a right triangle.

Triangle Side Lengths (cm)

A 9,12,15
B 7,8,11
C 7,24,25
D 16,30,34
E 10,11,14
Answer :
A is a right triangle :9 square + 12 square= 15 square
B is not a right triangle :7 square + 8 square= almost 11 square
C is a right triangle : 7 square + 24 square = 25 square
D is a right triangle : 16 square + 30 square= 34 square
E is a right triangle : 10 square + 11 square = almost 14 square

18) The diagram is made of two right triangles and five squares.

I dont get this one . I need help..

sorry I did this late , I was busy during the weekend,

Ryan B'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 )

Ryan's Math Profile .

Hi, my name is Ryan Bautista and I'm in grade 8. I really like math, learning about different types of mathematical stuff such as, Decimals, Fractions, Ratios and Etc. Sometimes i have trouble doing multiplication, like multiplying with decimals.

Back in grade 7, I learned how to do algebra equations and other new stuff. I also learned how to do exponents from the book i had called the Number of the day, we had to convert it to decimals, exponents, ratios, squared, multiplying, dividing, adding, subtracting and also fractions. I also learned B.E.D.M.A.S which stand for (Brackets, Exponents, Division, Multiplication, Addition and Subtraction) that is used in many problems i had. Then i learned the 3 M's (Mean, Median , Mode and Range) that talks about finding the number that is meant for the terms. I also had trouble finding the radius, diameter and Now this year in grade 8, I learned alot of different things like during the weeks like, finding the rate, unit rate and unit price. I also learned about ratios and proportional reasoning. We have a pink sheet that helps us remember the definitions of the words i listed. This year i want to focus on studying hard for my test and quizzes and get my homework done for marks. I will also ask the teacher for help if I need help on a problem that I'm having trouble on. I want to learn some things that I'll be learning in grade 9 and learn more about fractions.

Last year my favorite blog was this one : http://room42math09.blogspot.com/2010/02/adding-fractionas.html this is my favorite one because this was my first blog i ever made in grade 7. This year I'm am looking forward to make other great blogs as well as the other blogs and also to make progress in school.