Ryan's Algebra Post

Algebra - Writing mathematical phrases using letters to represent numbers.

Eg. a-15= -27

a= -12

Variabale- A letter represents a number in an algebraic equation or expression.

Eg. b-13=0

Constant- The integer in an algebraic equation or experssion

Eg. 21-n=18

Expression- Pattern, many answers

eg. 6x=12

Equations- Only has one answer and an equal sign

Eg. 8x=32

x=4

Solving One Step Equations :

Solving Two Step Equations :

Isolate the variable

Cancel the constant, by using zero pairs

Balance, by doing it to the other side

Verify to check

http://www.purplemath.com/modules/solvelin2.htm

Ryan"s Great Big Book of Integers

Chapter 1
Integers

(+4) + (-2)

^

positive 4 and negative 2

have 4 and owe 2

STANDARD FORM :

+4 + -2=

4 - 2= 2

Making Zero Pairs

-16 +16, +5 -5, +11 -11, -2 +2,

+6 -6, -10 +10, -9 +9, +3 -3

Chapter 2

Multiplying Integers

Chapter 3
Dividing Integers

Partative division is making making parts.

Quotative division is sharing your total with groups

.

When you have an odd number of (-) sign in a division question the quotation is negative.

6÷2= +3

-6÷(-2)= +3

6÷(-2)= -3

Chapter 4
Order of Operation With Integers

B-rackets

E-xponents

D-ivision

M-ulitiplicaion

A-ddition

S-ubtraction

(+5) x (-3) + (-6) ÷ (+3)=

(-15) + (-6) ÷ (+3)=

(-15) + (-2)

(-17)

Term 2 Reflection

Term 2 Reflection

In this term I did very well in finding out the volume of shapes such as trianglular prisms and cylinders, it was easy for me because all you had to do was remember the formulas of each shape such as (π x r x r)x h .

At one point when we were learning about the volumes and when it was put in to problems, it sort of confused me because i didn’t know excatly how to find the answers.

I think i can do better next term by always reading the questions twice, or until I understand what the question is asking me. Another thing I want to improve on is too check over my answer again because I could of missed a single thing in the formula or something messed up which could change my answer on my tests.

This term I learned a lot about percents, surface area, and volume such as all the formulas that was involved. And how to use them all in a correct way so you won’t mess it up. I also learned some ways of finding out how much cm or m an object is if needed by using those formulas.

Cylinder Homework

r= d/2

r=7/2

r=3.5cm

=2 .π. r. r+ 2.π.r.h

=2. 3.14 . 3.5 . 3.5+2 . 3.14 . 3.5 . 7

= 76.93 + 153.86

= 230.79cm 2

r=d/2

r=15/2

r=7.5cm

=2 .π. r. r+ 2.π.r.h

=2 . 3.14 . 7.5 . 7.5 + 2 . 3.14 . 7.5 . 18

=353.25 + 847.8

=1201.05cm 2

=2 .π. r. r+ 2.π.r.h

=2 . 3.14 . 6.5 . 6.5 + 2 . 3.14 . 6.5 . 20

=265.33 + 816.4

=1081.73cm 2

A link to about cylinders:

http://mathcentral.uregina.ca/QQ/database/QQ.09.03/kathryn1.html

r= d/2
r=8/2
r=4m

v=( r x r) x h
v=(3.14 x 4 x 4) x 10v=50.24m 2 x 10
v= 502.4m 3

502.4/2
=251.2m 3

Then you subtract the volume of the smaller cylinder to the bigger cylinder which will give you the amount of concrete needed for the culvert.

Concrete= 5.024m 3 - 7.85m 3

Concrete= 2.826m 3

Ryan's Final Percent Post

What is Percent?

A percent means "out of a hundred", Percent can be converted in to fractions or decimals. It can also be shown on a hundred grid.

Representing Percents

There are ways of showing a percent such as a hundred grid, which is a 100 squared box.

<--60 of 100

60%

0.5 out of 100 --

>

1/2%

Fraction, Decimal and Percent

You can convert percents in to fractions and decimals

Fraction : Decimal:

60%=6/10 50%=0.5

=3/5 50÷100

0.5

Percent of a Number

You can use mental math strategies such as halving, doubling, and dividing by 10 to find some of the percents of numbers.

Example:

12.1/2% of 50

12.1/2% =12.5%

=0.125

=0.125 x 50

=6.25

Combining Percents

Percents can be combined by adding to solve problems

Example:

-The total costs of PST and GST taxes

5%+7%= 12%

-4. Chris purchased the following items:

• 2 binders at $4.99 each

• 1 math set for $3.99

• a backpack for $19.99

Find the total cost including 5% GST

and 7% PST.

Ryan's Pay it Forward

Ryan's Pay it Forward

Part 1

I watched a movie named Trevor and he was told an assignment for his social studies class,

which was for the child too think of how he can change the world then actually do it. Trevor had an

idea of changing 3 peoples lives then tell them too pay it forward and change 3 peoples lives so its

like a chain."Pay it Forward" and it is about a child named Trevor that "Pay it forward" is a term that mean when you do one act of kindness to a person with only one thing in return, which is for that person to do the same but maybe in another way.

(My group walking to the church)

Part 2

1.My groups act of kindness for Pay it Forward was donating all our unwanted toys too the "Helping Hand Foundation"

2.We chose this activity because we had extra toys that we never use anymore and we thought of donating them to the less fortunate. So that maybe when there older they can show an act of kindness and donate toys to other unfortunate.

3.We helped the immigrates of Winnipeg that may not have a lot of money right now, and the children's of the families need some toys that might make there day better.

4. We did our act of kindness on December 17th at 12:00-12:50

(The church name)

Part 3

1. Our act of kindness went well because we gathered a lot of toys that we didn't need and donated all of it.

2. We all had little gatherings of toys, after we went to a church that would send the toys too different immigrate families, and then we told the _______ about Pay it Forward and asked if she would Pay it Forward.

3. When we donated the toys I felt really joyful because I know that the children that get them are going to have a good child hood memory of people giving them toys that they might not afford.

4. The lady was happy and shocked because we are taking small steps to helping the people around us at such a young age.

5. We asked her if she would "Pay it Forward" and she answered with her saying that she has did pay it forward by also giving un needed toys and also doing volunteer jobs when she has extra time.

Part 4

1. The term "Pay it Forward" to me is very important because we can make small changes to peoples lives step by step, and which can change a small portion of the world.

2. I'm not to sure if my act of kindness made a difference but I'm thinking that it did because it can maybe bring joy to children's childhood and hope that he will also pay it forward.

Ryan's Percent Homework

Percent Math Homework

A) 160% of $53.27

160÷100=1.6

53.27 x 1.6=

85.232

B) 3/4% of 135

0.75÷100=

0.0075x135=

1.0125

B) 55 8/10% of 500

55.8÷ 100=0.558

0.558x500=

279

275+4=279

55+0.8=55.8

A) 350% of $10

350÷100=3.5

3.5x10=

35

Marilen did the other 2 questions.

Heres a link:

http://www.mathsisfun.com/percentage.html

Ryan's Show You Know Page 96

Show You Know Pg.96

For each of the following, use perfect squares to estimate the square root to one decimal place. Check your answer with a calculator.

A)√18 B)√23 C)√35

A) √18

Estimated: √18= 4.1/9

Calculated: √18=4.2426406

√18= 4.24

B) √23

Estimated: √23 = 4. 7/9

Calculated: √23= 4.7958315

√23= 4.80

C) √35

Estimated: √35= 5.10/11

Calculated: √35= 5.9160797

√35= 5.92

Link: http://www.homeschoolmath.net/teaching/square-root-algorithm.php

Ryan's Sesame Street Video

Group Members:

Cameron, Kaecee and Ryan

Part 1:

Two term ratio- compares 2 quantities measured in the same units. [eg. r:d]

Three term ratio- compares 3 quantities measured in the same units. [eg. c:d:e]

Part to part ratio- compares different parts of a group to each other. [eg. a:z]

Part to whole- compares one part to the whole part. [eg. b:abc, b: all letters]

Rate- compares 2 quantities indifferent units. [eg. 3a:100g]

Unit rate- a rate where the second term is always 1. [eg. 10km/hr]

Unit price- unit rate used when shopping. [eg. 100g/$1]

Proportion- a relation ship that says that two rates or two ratios that are equal.

- can be written in fraction form. [eg. 1/3=3/9]

Part 2:

Original Video: The Count Returns

Ernie Being the Count For the Day, Video 1

Ernie Being the Count For The Day, Video 2

Ryan’s Math Profile

Hello my names Ryan, and I am a student in grade 8 math. If anyone were to ask me if I liked math I would say yes because I like learning new ways of solving problems and learning from my mistakes that I make. I remember in grade 3 our class got to play with these bricks that opened and had more bricks inside of it and we got to add them and got to use them as little lego pieces after the lesson.

The previous year in grade 7, my favourite unit we did was two step algebra because I liked the challenage of the questions and how i had to use my brain to think out what the variable was. The unit i struggled with the most was probability because I got very confused when using the tree diagrams. This year to try not to struggle as much I could maybe write down more examples and look threw them every once in a while.

For this year in grade 8 want to try to participate in more group discussions and always have my homework finished on time, and if I don't understand the unit I could ask friends or the teacher to help make me understand. These are some of the things that i need to help become a better math student. This year i want to more of the algebraic equations and have myself prepared for grade 9.

Last year in grade 7 I was a blogger and one of the blogs i made were http://room72math09.blogspot.com/2010/06/define-perpendicular-describes-lines.html#comments this blog was a small review of a part of the final exam. It talks about different kinds of angles, this blog was my favourite because I worked really hard on it and took time to make each of my pictures. Blogging helped me become a better student because it makes me review what we did in todays lessons. While we are on the computers in math I would like to make a little animation of maybe a unit or some sort.