Karl's Algebra Post

Algebra - Writing mathematical phrases using letters to show numbers

Variable - A letter that represents a number algebraic equation and expression

Constant - The integers in an equation and expression

Expression - A pattern with many answers

Equation - With only 1 possible answer



Steps to solve "one step equations" :

1. Isolate the variable

2. Make a zero pair with the constant

3. Balance the question

4. Verify




Using Algebra Tiles:





Steps to solve a "two step equation" :

1. Isolate the variable

2. Cancel the constant

3. Balance

4. Simplify the variable

5. Verify





Solving a Two step equation with algebra tiles:

Karl's Great Big Book of Integers

Chapter 1 Grade 7 Review
Questions from class
1) -3 - (-7)=4


2) -3 - 7=-10


3)3 - 7=-4



4) 3 + 7=10



5) -3 + 7 = 4



Chapter 2 Multiplying Integers

1) (+2) x (+3)= 6

+++ +++ 2 groups of +3

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

--- --- 2 groups of -3

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



4) (-2) x (-3)= +6




Sign Rule (Negative Signs)

Even: When you have an even number of negative factors the product is positive.
Odd: When you have a odd number of negative factors the product is negative.


Chapter 3 Dividing Integers

Partitive Division: When you use groups to find your quotient

ex. 6 ÷ 2= 3



-6÷ (-2)= 3



Quotative Division: Share a number between an amount of groups

ex. (-6)÷2= -3



Multiplicative Inverse: When you rewrite a division question to a multiplication question because you can't find a way to use partitive or quotative division.

ex. 6÷(-2)=
you can't share 6 with -2 people so you use the multiplicative inverse
(-2)x(-3)=6
(-3)x(-2)=6
answer: -3

Chapter 4 Order of Operations with Integers

(+5) x (-3) + (-6) ÷ (+3) = ?

You can use BEDMAS to solve this question
BEDMAS stands for:
B-Brackets
E-Exponents
D-Division
M-Multiplication
A-Addiction
S-Subtraction

Ex.
There are no brackets or exponents so you could skip the B and the E.
There is a division question and that is (-6) ÷ (+3).
(-6) ÷ (+3) = -2.
The question now is (+5) x (-3) + (-2) = ?
There is a multiplication question and that is (+5) x (-3).
(+5) x (-3) = -15
The question now is (-15) + (-2)
Now all you have to do is solve (-15) + (-2).
(-15) + (-2) = -17.
Your answer is -17

Term 2 Math Reflection

Karl's Homework Book Post

Homework Book
Even #'s, Pages 78-79.


4.a)



b)


c)


Answers

4.a)
V=area of base x height
V=100cm² x 4cm
V=400cm³

b)
V=area of base x height
V=113cm² x 3cm
V=339cm³

c)
V=area of base x height
V=80cm² x 12cm
V=960cm³



6) Which rectangular prism has the larger volume? Show your thinking.
a)


b)


Answers:
a)
V=area of base x height
V=40cm² x 5cm
V=200cm³

V=area of base x height
V=20cm² x 10cm
V=200cm³

Both of them have a volume 200cm³

b)
V=area of base x height
V=10.5m² x 1m
V=10.5m³

V=area of base x height
V=3m² x 3.5m
V=10.5m³


8)

Nikki and Taylor have to fill the pool this summer. The area of the pool bottom is 27m². The height that the water needs to be is 0.9m. How much water do they need to put in the pool?

Answers:
V=area of base x height
V=27m² x 0.9m
V=24.3m³

They need to put 24.3m³ of water in the pool.


Cylinder Problems and Volume Problems



a)V=pi.r.r.h
V=(3x2x2)x10
V=120m^3

b)V=pr.r.r.h
V=(3.14x2x2)x10.5
V=131.88m^3

d/2 = r
8 / 2 = r
4cm = r

V = pi.r.r.h
V = (3.14x4x4)x40
V= 2009.6cm^3

Final Percent Post

1.) This Chapter was about percents, fractions, and decimals. We learned a lot of new things about percents like using decimals and hundred girds to find percents. Percent means out of 100.

Representing Percents

You can represent percents by using a hundred grid.
EX.



Fractions, Decimals, and Percents

Percents can be written in Fraction and Decimals.
EX. 50%, 50/100, 0.5


Percent of a Number

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

You can also find the percent of a number by converting the percent to a decimal and multiplying it by the number.
EX. 50% of 100
50 divided by 100 = 0.5
0.5 x 100 = 50

Combining Percents

Percents can be combined by adding to solve some problems.
EX. 5%+6%= 11%.

2.)



3.) This is a link to my Percent Scribe Post

4.) This is a link about Percents

Karl's Scribe Post

The 3 questions i did were 3, 4, and 8.

(3 Use mental math to determine each of
the following.

a)



b)


c)



4) Use mental math to find the following.

a)


b)


c)



8) The original price of a jacket was $84.00. A store manager marked the price down by
25.5 %. By how much was the price reduced ?




The price was reduced by $21.42.

Karl's Pay It Forward

Part 1:
In my opinion paying it forward is helping someone to make their life easier. If that person that you helped might get inspired by you and he might help other people and it just goes on just like a chain. I think the whole idea of paying it forward is to make everybody's life in the world easier. This idea was based on a movie called "Pay it Forward".

Part 2
What was your Pay It Forward act of kindness?

My act if of kindness was to help the custodians of Sargent Park School.

Why did you choose this activity?
I chose this activity because my group and I decided that the custodians of our school were really busy because they work everyday and we wanted to make their jobs easier by cleaning up the school.

Who did you help?
I helped the custodians of Sargent Park School.

What did you do?
My group and I cleaned the whole school by sweeping the hallways and cleaning up the bathrooms.

When did you do your act of kindness?
I did my act of kindness Friday after school.









Part 3:
How did your act of kindness go?
I thought that my act of kindness was successful, and it was better than I expected because i noticed that my group and I cleaned up the school and the custodians barely did any work.

How did you feel?
I felt very proud of my group and we cleaned up a lot of parts of the school in a hour.

How did the people or person react?
The custodians of the school were glad of us and he was surprised because there was a lot of help for him.

Did you ask the person or people to pay it forward?
Yes, we did ask the custodians to pay it forward and they said it's important to help everyone.

Part 4:
Why is the idea of "Paying It Forward" important?
The idea of Paying it forward is important because it will make everybody's lives in the world a lot easier and better.

Has your act of kindness made a difference?
I hope that my act of kindness made a difference.

Karl's Perfect Square Post

An example of a perfect square is:
1x1, 2x2, 3x3 or it could be written 1², 2², 3².




If you noticed, the intervals in between each perfect square is an odd number.


HOMEWORK:

-You Have to finish your Number Line.



- Tell what you know about these squares :
[1] [2] [3] [4] [5] [6] [7] [8] [9]



Here is a video about square roots.





Here is a link to a page that helps you with square roots.

Karl's Sesame Street Video Post

Group members : Louis D, Karl N, Chris A.

Part 1

Two-Term Ratio : compares two quantities measured in the same unit.

ex.



Three-Term Ratio : compares three quantities measured in the same unit ex.

Rate : compares two quantities measured in different units.
ex.
$1.00 per g or $1.00/g

Unit Rate : a rate in which the second term is one.
ex.
72 words typed in a minute or 72 words/min.

Unit Price : a unit rate used when shopping.
ex.
$1.00 per g or $1.00/g

Proportional Reasoning : a relationship that says to ratios are equal.
ex.


Part 2



Part 3

Karl Naoe's Math Profile

Hello, my name is Karl Naoe and I'm a student in grade 8 math. If someone asked me if i liked math i would say "yes" because i think it is sometimes fun and when i was young my parents would help me in math when i was struggling. The best thing i ever did in math class was blogging. I likes blogging because when you blog you can be creative and it's very fun.

Last year in grade 7, probability was one of the best unit i studied because i worked harder and i listed more. When we had the probability test i did really good because i had 90% of the test correct and i usually have 80% of the test correct. The unit that made me struggle the most was fractions. At first it was easy to me, but when we had to convert fractions into mixed and improper fractions i got really confused. This year I'm going to work harder and listen more and maybe ask for help if i don't get it.

This year in grade 8, I'm going to start righting more notes down if i get stuck on the unit and try to achieve academic rewards. This year in grade 8 i want to learn more about geometry because last year in grade seven we barely learned about geometry and we only used our geometry sets a few times in math class.

Last year in grade 7, my favorite blog was about Bisecting and Perpendicular Bisectors. I liked this blog because this is one of my blogs i really took time to do. Blogging made me a better student because i missed a few days of school and when i checked the blog i saw what my classmates did in school when i wasn't there. This year i would like to do some math projects on the computer and do some problem solving.