Algebra, Done!

I just finished all of algebra!

The last thing I did in algebra was conic sections.

In conics we learned how to graph ellipses, hyperbolas, circles, and parabolas.

This a line:

y = x + 5

Parabola:

y = -3x² - 6x - 1

Circle:

(x - 2)² + (y + 3)² = 9

Ellipse:

(x²/6) + (y²/16) = 1

Hyperbola:

x² - y² = 39

A parabola is U-shaped. But it can open up or down.

An ellipse is an oval.

Hyperbola is like two parabolas.

You can tell what shape an equation is just by looking at it.

If one variable either ,x or y, is squared it is a parabola.

If both variables are squared then the graph might be a circle, an ellipse, or a hyperbola.

If the coefficients of x² and y² are the same sign AND equal, the equation represents a circle.

If the coefficients of x² and y² are the same sign BUT different, you have an ellipse.

If the coefficients of x² and y² have different signs(one positive and one negative), then the graph will be a hyperbola.

I did this with my dad:

Now I'm exited to start calculus and advanced geometry.

A Milestone!

I have reached 10000 hits!

It took me a year and a quarter to get this many hits!

Thanks to everyone visiting!

My Vacation

Last Saturday we went to Kalahari Resorts in Ohio.

I went with my sister, my dad, and my mom.

There was an indoor water park, an arcade, mini golf (but we didn't do that), etc.

We stayed for 5 days.

There was also a homeschool thing, there was events like a Pokemon funshop, a nerf war funshop, a warhammer funshop, a kids marketplace, a Dungeon and Dragons class, a talent show, and a carnival.

I had lot of fun.

Book Club

Yesterday I had my first book club meeting at the library.

There were 6 kids.

We read Amber on the Mountain by Tony Johnston and we did a craft based on the book. Next week we are reading The Lorax and Brother Eagle, Sister Sky.

I had a really fun time.