End of year project d
- 1. End ofYear Project By: Eric Israel
- 2. Favorite Units • Unit 1.3-1.5 graphing equations • Unit 3.15 quadratic regression • Unit 4.1b negative exponents • Unit 6.5-6.7 logs and exponents
- 3. The most hated units • Unit 1.8Writing equations given points and slopes • Unit 3.9: Complex Numbers • Unit 4.4: Operations with Radicals (2 days) • Unit 8.4: Synthetic Division
- 4. Unit 1.3-1.5 graphing equations • The reason that I like this unit so much is that this is the first unit that we got a project on and it was very cool. In this unit we created a pic and converted it to graphing paper. I ended up making the Texas flag and one of my friends made a medieval castle!
- 5. Unit 1.8Writing equations given points and slopes • If you are given slope and a point, then it becomes a little trickier to write an equation. Although you have the slope, you need the y- intercept. I always hated this unit because it took so many steps over something that should take no time at all.
- 6. Unit 3.15 Quadratic regression • Quadratic Regression is a process by which the equation of a parabola of "best fit" is found for a set of data. I found this interesting because it meant that quadratics weren't as cut and dry as I thought, also it can be used to answer graphs to a better extent. For example the pic shows the line of best fit even though it does not cross all the points.
- 7. Unit 3.9: Complex Numbers • A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which satisfies the equation i2 = −1. this makes little to no sense how can a imaginary number squared give me -1 so (10239843928i) (10239843928i) is -1?
- 8. Unit 4.1b negative exponents • negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x–2" (X to the minus two) just means "x2, but underneath, as in 1/(x2 ). I thought that this was particularly funny as it seemed to me that the equation was a mistake. I would always laugh to my self because it made me wonder how the guy that discovered this theory got to these negative exponent's.
- 9. Unit 4.4: Operations with Radicals (2 days) • I hate this unit because this displays a working of math that I don’t understand and we just learnt the formula so its very troubling to try to understand what is going on.To combine them you need to make the radical little number the same than you multiply the inside only. confusing yes I know.
- 10. Unit 6.5-6.7 logs and exponents • The exponent of a number says how many times to use the number in a multiplication. In this example: 23 = 2 × 2 × 2 = 8 A Logarithm says how many of one number to multiply to get another number. I liked this because it shows to me that everything in math is interchangeable.To me it seems that log and exponent's are in a relationship!
- 11. Unit 8.4: Synthetic Division • I don’t understand this unit very well but I’ll try to explain. In synthetic dividing you set the divisor equaled to 0 and then you put the number before each X( so X^2+3X+7 is 1,3,7) than you bring down the first number subtracting one X than you multiply it by the divisor and add it to the next number and repeat until you run out of numbers. If you get anything other then a 0 then the divisor is not a factor.
- 12. How to pass algebra 2 • There are 5 things you need to be successful in algebra 2 1. Always pay attention in class 2. If you need help don’t be afraid to ask.(or go to tutorials) 3. Do the practices (they’re not homework but they still benefit you a lot) 4. Always bring a pencil or BLACK pen(no pink pens sorry guys) 5. Have a (positive) attitude
- 13. Algebra 2 IRL (in real life) Here’s an example lets say you are all grown up now and have to move across country for a new job. Lets use Buffalo, NY to Sacramento, CA which is roughly 2500 miles of driving. How much money do you need to save for gas if the national average is $3.23/gallon. Let x = amount of money you need to save 2500 = 3.23x x=$773.99
- 14. congrats With this amazing guide you will easily ace algebra 2 (however I am not responsible if you failed that’s on you man)