What I Learned Today 10/28/14

Pre-Algebra:

I did SOOOO much math today!!! Division was a very long section with lots of rules. It uses everything I learned about addition, subtraction, multiplication, negation, and reciprocals. I didn’t pretty good on my exercises.

Definition: let a and b be numbers such that b is not zero then the quotient a divided by b is defined as

a divided by b = a * 1/6

WARNING!! You can’t divide by zero. Division by zero is undefined.

Important: let a, b, and c be nonzero numbers. If a and b are nonzero and a*b = c then a = c divided by b and b = c divided by a.

Important: Let x be any number.

Dividing into zero: If x is nonzero, then 0 divided by x = 0.

Self-division: if x is nonzero, then x divided by x = 1.

Dividing by 1: x divided by 1 = x.

Dividing into 1: if x is nonzero, then 1 divided by x = 1/x.

Dividing by reciprocal: Let x and y be numbers such that y is nonzero. Then

X divided by 1/y = x*y.

Important: let x and y be numbers such that y is nonzero.

• Division into negation: (-x) divided by y =9 -(x divided by y).
  
• Division by negation: x divided by (-y) = -(x divided by y).
  
• Negation divided by negation: (-x) divided by (-y) = x divided by y.

WARNING!! Division is neither commutative nor associative.

Concept: To solve division problems:

1. Change all divisions to multiplications.
   
2. Rearrange the multiplications using the associative and commutative properties.
   
3. [Optional] Change some of the multiplications back into divisions.
   

Important: Cancel common factor: Let a and b and c be numbers such that a and c are nonzero. Then

(A*b) divided by (a*c) = b divided by c.

Important: Let a, b, and c be numbers such that c is nonzero. Then

(A + b) divided by c = a divided by c + b divided by c

WARNING!! Dividing into a particular number does not distribute over addition. In other words, a divided by (b + c) does not have to equal a divided by b + a divided by c.

Important: Let a, b, and c be numbers such that c is nonzero. Then

(a – b) divided by c = a divided by c – b divided by c.

To Kill A Mockingbird:

I started reading To Kill A Mockingbird. I only read the first chapter so far. It is interesting how different the South was a long time ago.

Java Programming:

I finished all of my Elements of Harmony ignots in my Youth Digital Java programming class, so I got to test them out in Minecraft and they worked! Now players could craft my items with the crafting recipes I made. It was exciting to see what I made using Java be a part of the game! My mom said we will try to post a video of me crafting and using it so people who don’t play Minecraft can understand. It may gave to feel a link to a YouTube video that you would click on. I still get to learn to create creatures and worlds!

Geography:

Tomorrow I start my Geography unit. I am using Mapping the World by Heart. I am starting with the USA and will then do Canada and Mexico to complete North America. I get to use real maps and color and label all states, rivers, lakes, mountains, capital cities, and borders. It’ll probably take me a long time. I have to look up the capitals and figure out things like what the river names are so I label it right. I already know the hardest part will be being neat!!! But I think it will be cool to have maps I make all over the homeschool room.

Cub Scouts/Disability Awareness:

I am working on my belt loop and pin for disability awareness. I chose my mom’s disability. It’s called Dercum’s Disease and it’s really rare. So I want to do it in that so people know more about it. She gets lumps in her body that are tumors that really hurt her. She had a test today that showed so many I feel bad for her. She took a picture to show me just some of one side of her. I can’t remember the test she had. It is where they press this thing in her and it shows the lumps. She said it’s the kind of test where they look at a baby but they can look at other stuff too. She said it normally doesn’t hurt hut hers did because they had to push on all her tumors and that it hurt bad. I am going to find out more about it and will do another poster projector share at my den meeting. I will show it here too.