## Exhibition Reflection

1) What would you do differently if you were exhibiting your project again?

If given the chance to redo the project, I would have chosen a project related to conic sections because I feel that I am not able to use them nearly as well as logs.

2) What do you see as your greatest strengths and weaknesses moving forward into future math classes?

I feel that my ability to work independently from the rest of the class will help immensely by allowing me to be able to work on what needs to get done.

If given the chance to redo the project, I would have chosen a project related to conic sections because I feel that I am not able to use them nearly as well as logs.

2) What do you see as your greatest strengths and weaknesses moving forward into future math classes?

I feel that my ability to work independently from the rest of the class will help immensely by allowing me to be able to work on what needs to get done.

## Encyclopedia Project

1) What have you learned about mathematics through the Encyclopedia Project?

During this project I had a nice refresher on how to use logs. They are relatively simple. (x=log(y))=(y=10^x) I also learned how to pronounce Eyjafjallajökull correctly.

2) What have you learned about yourself as a student through this project?

I have learned that I take class for granted to a point. While I did need assistance with a few concepts, I was able to do the trig on my own in a shorter period of time than was allotted for the class.

3) What do you need to do for exhibition preparation to be able to show your audience what you did and learned?

I need to print the research and meet with Effi and/or Christie to see what I need.

During this project I had a nice refresher on how to use logs. They are relatively simple. (x=log(y))=(y=10^x) I also learned how to pronounce Eyjafjallajökull correctly.

2) What have you learned about yourself as a student through this project?

I have learned that I take class for granted to a point. While I did need assistance with a few concepts, I was able to do the trig on my own in a shorter period of time than was allotted for the class.

3) What do you need to do for exhibition preparation to be able to show your audience what you did and learned?

I need to print the research and meet with Effi and/or Christie to see what I need.

## Derivation of the Quadratic Formula

One of the questions on the semester exam was the derivation of the Quadratic Formula. Here is how you do it:

y=ax^2+bx+c

0=ax^2+bx+c

-c=ax^2+bx

-c/a=x^2+bx/a

(b/2a)^2+-c/a=x^2+bx/a+(b/2a)^2

b^2/4a^2+-c/a=x^2+bx/a+(b/2a)^2

b^2/4a^2+-4ac/4a^2=x^2+bx/a+(b/2a)^2

b^2/4a^2+-4ac/4a^2=(x+b/2a)^2

(b^2-4ac)/4a^2=(x+b/2a)^2

±√b^2-4ac/4a^2=x+b/2a

-b/2a±√b^2-4ac/√4a^2=x

x=-b/2a±√b^2-4ac/√4a^2

x=(-b±√b^2-4ac)/2a

Ta Da!

y=ax^2+bx+c

0=ax^2+bx+c

-c=ax^2+bx

-c/a=x^2+bx/a

(b/2a)^2+-c/a=x^2+bx/a+(b/2a)^2

b^2/4a^2+-c/a=x^2+bx/a+(b/2a)^2

b^2/4a^2+-4ac/4a^2=x^2+bx/a+(b/2a)^2

b^2/4a^2+-4ac/4a^2=(x+b/2a)^2

(b^2-4ac)/4a^2=(x+b/2a)^2

±√b^2-4ac/4a^2=x+b/2a

-b/2a±√b^2-4ac/√4a^2=x

x=-b/2a±√b^2-4ac/√4a^2

x=(-b±√b^2-4ac)/2a

Ta Da!

## Semester Exam Construction Project

In this project we made problems for the semester exam. Each student wrote ten problems on different subjects with different difficulties. I thought this project was a good way of solidifying concepts but took up way too much time. To study for the exam, I may review probability and the derivation of the quadratic formula. Most, if not all of this year has been review so far so it has been relatively easy. Probability is a small weakness but it is relatively intuitive and easy to figure out in the moment. I am relatively solid in everything else. Below are the problems I composed for the test.