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Algebra 2

Semester Exam Project

This semester, we were required to come up with questions that pertained to the lessons we have learned throughout the year. This project was okay, however was not very engaging or interesting to do. I am going to study for the semester exam by going through our textbook and making sure that I have all the equations memorized. This started off great and i loved learning new things, but by the end of the semester, my interest slowly subsided. My loss in interest resulted in a drop in grades. Next semester I need to work on staying engaged and interested.

Encyclopedia Project 

From this project, I have learned that there is much more to math than the actual problems. The next time I have a project in math I need to focus on staying on track during class and try to keep myself motivated. If I could add something to our encyclopedia project I would add a section on the greatest mathmaticians throughout time. If I had to exhibit my project again I feel that I would practice more before so that I could keep people engaged in my project as I was explaining. My greatest strength in math this year is communication with my teacher. My biggest weakness would be doing homework and studying outside of class. 

A link to my prezi

Hard Section 5.1

graph the function

y=x^2-2x

 

Hard section 6.4

Factor the following expression

x^2-11x+24

 

Hard section 3.6

solve the system using any algebraic method

x-y+z=9

3x+2y+z=18

z-4y-x+0

 

Medium Section 4.3 Factoring

Solve for x by factoring

x^2+6x=0

 

Medium section 2.4

solve the equation for y then find the value of y for the given value of x

6x-4y=16 ; x=9

 

Medium

Solve the inequality

3x-4≤-6

 

Easy section 1.5  

Graph on a coordinate plane

x=7

 

Easy section 4.3

solve the equation

x+6=0

 

Easy section 6.7

Express the following in terms of i

√ -1

 

 

        Linear equations have been around for a very long time. They are necessary most especially in business and sales.  Han Dynasty wrote “The Nine Chapters on Mathematical Art” consisting of 246 problems sometime between 206 BC and 220 AD (Dynasty). It contains chapters on field measurement, proportions, three-dimensional solids, rectangular arrays, and right triangles. The chinese used bamboo counting rods that were set up in a way to give numbers place value (Larson).

 

     The abacus was also used to help with mathematical equations. The early abacus was used so that people could write or mark something to help keep count as we would use a piece of paper. It was a tablet that was covered with sand. The user would use a stylus to mark and then wipe the sand away when they were finished with it. These were used by merchants, shopkeepers, and tax collectors. The abacus evolved eventually into a device with moving beads. This served as a sort of calculator. The abacus is thought to have started in the Middle East around 3000 BC. Evidence shows that Hindus, Greeks and Romans all used different types of abacus’s (Larson).

 

     In 1879, the first cash register was invented by James Ritty. Electronic cash registers didn’t come about until 1960’s. Cash registers were a very important tool when it comes to linear equations. These new electronic registers could do many new things that helped relieve the workload of employees. Electron registers could now record sales, display purchase amounts, hold money, and print receipts. Today’s registers can do many more high-tech things. This helps many businesses get the job done quicker (Larson.)

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