Thursday, February 24, 2011

More Algebra

Now I am studying Polynomials.

Here is an example:

6x2 - 7x + 1

Here is another example:

10x5 + 4x4 - 13x3 + .52 - 102

Each part of a Polynomial is called a Monomial. My dad calls them "terms".

The number in front of each term is called a coefficient.

The little numbers above the x's are called exponents.

When x-terms have the same exponent they can be easily combined by adding their coefficients.

For example:

3x4 - 17x4 = -14x4

(-1/3)x5 + (1/2)x5 = (1/6)x5

Two terms or two monomials, make a "binomial". (Bi - means two).

You can also multiply, divide, and factor Polynomials

Thursday, February 17, 2011

Car Racing

Last week was my first Pinewood derby.

The Pinewood derby is where you make a wooden car then race it on a ramp.

I won 1st place in my den but I won 3rd against all the Tiger Scouts.

This is my video of my first Pinewood derby ↑.

Tuesday, February 15, 2011

Linear Equations

In algebra now I'm solving some equations with 2 variables.

For example:

x + y = 10

Here are some of the solutions to this equation:


As you can see there are infinite solutions (x,y) to this equation. In fact, there are infinite solutions to any equation with an x and y.

The best way to describe these solutions is with a graph.

This graph is always a straight line that extends in both directions to infinity.

The easiest way to draw these lines is by computing the x and y intercepts.

All you have to do is set x equal to 0 and solve for y. Then set y equal to 0 and solve for x.

Then you have two points that you can connect to draw the infinite line!

For example, the intercepts of x + y = 10 are (0,10) and (10,0).

The other common way to graph a line is with slope-intercept form: y = mx + b where m is the slope of the line and b is the y-intercept.

Monday, February 14, 2011

Universal Theme Park

I went to Universal Studios 2 weeks ago in Orlando with my Dad and my sister.

There are 2 parks - Universal's Islands of Adventure and Universal Studios Florida.

I was there for 8 hours!

I had a lot fun.

These were my favorite rides:
  • E.T. ride

  • Woody Woodpecker ride

  • The Simpsons ride

  • Jimmy Neutron's Nicktoon Blast

  • Flight of the Hippogriff

  • Pteranodon Flyers

This picture was taken in the Wizarding World of Harry Potter.

Monday, February 7, 2011

I went to Mini Golf last week in Flordia.

I went with my dad, my sister, my grandpa, and my dad's godfather.

Watch the video above and see me get a hole in one after my sister got one.

It was fun.

At the end we fed the Alligators. But they didn't eat.