Today in class we mostly focus on reviewing Solving Quadratic Functions. The 2 most effiecent and simple ways to solve a quadratic functions is by Factoring or Using the Quadratic Formula. An example for solving a Quadratic Function by Factoring is. Ex) 14x^2 + 9x + 1 = 0. 1st Step – Use the X Factoring method. 2nd Step – The two binomial factors are 2 & 7. 3rd Step – Divide the two factors by 14 because there is a number outside of x^2 and we must get rid of that number so we can go on with the problem. 4th Step – Now the two binomials should be (x + 1/7) (x +1/2), bring the denominators over to the X. 5th Step – Now the two binomial factors are (7x + 1) (2x +1). 6th Step – Solve for X the two answers you should get for X is -1/7 & -1/2. – John Joseph
4/29/09 Block 4 April 30, 2009
Today in Ms. Hawn’s class, we first got back our absolute value quizzes that we took the other days. If we got a high enough grade, we could check absolute value off of out check list of things we have to know. Next, we did some absolute value problems in the Algebra 2 EOC Review workbook. Ms. Hawn went over all the problems on the overhead and we handed the work in for a classwork grade. Finally, we took notes on circles. The equation of a circle is (x-h)^2 + (y-k)^2 = r^2. (h,k) is the center and r is the radius. To find the center, use the midpoint formula to find the middle of the diameter. To find the radius, you do the length of diameter /2. To find the length of the diameter, you do the square root of (x-x)^2 + (y-y)^2. Once you find the center and the radius, plug the answers into the equation of a circle. Our homework was on circles on pg. 54 in the workbook #1-9.
Christina H.
Today’s Class Activities April 28, 2009
- Use the following link to access the website: http://www.sascurriculumpathways.com/ProductEntrance/Launch/launch.jsp?unit=1245-3
- Student Username: mustangs
- Chose to view tools by index topic
- Choose either: (Radical Expressions > Simplifier: Radicals) or (Polynomial Expressions > Simplifier: Polynomials)
- Complete at least 15 problems using the applet.
- If you finish early, read the following webpage: http://coolmath.com/algebra/Algebra2/08Conics/01_circles-intro.htm
4/21/09 April 27, 2009
Today in Mrs. Hawn’s class we first had a homework check of the worksheet from the night before that was on solving rational equations! Then, we went into finishing our puzzle also from the day before. She gave us paper to complete it on and we had to cut the pieces into pairs and connect them like dominos! You could put them into any formation that you want on the paper. Then, we did a review. There were different stations set up or classes as you called them to practice for the quiz tomorrow! There was no homework except finish the puzzle!
Kasie Hanson
4/14/09 – 2nd Block April 18, 2009
Today in la clase de Algebra 2 we reviewed over Multiplying & Dividing Rationals Expressions. An example of a problem that was in our notes today.
x^2 + 10x + 25/x^2 – 9 * x^2 – 3x/x + 5
First – We solve ANY TYPE of Rational Problem we FACTOR, CANCEL, SIMPLIFY. Second – We FACTOR x^2 + 10x +25, it is now (x+5) (x+5). Third – We FACTOR x^2 – 9, it is now (x + 3) (x + 3). Fourth – We FACTOR x^2 – 3x, it is now x(x – 3). Fifth - We CANCEL like terms, Cancel out the x+5 on the top left fraction and the bottom right fraction. Then cancel the x – 3 from the bottom left fraction and the top right fraction. Sixth – We SIMPLIFY, which gives us are answer of (x + 5)x/(x + 3). – JOHN JOSEPH
Logarithmic and Exponetials April 6, 2009
LOG b ^n= x ……………………….. b^x = n
The base “b” is always on the bottom, The “n” is the answer, The “x” comes after the “b” (base)
To convert to exponential
- LOG2 16= 4 –> 2^4=16
- LOG5 25=2 –>5
- LOG2 1/4=-2 –> 2^-2 = 1/4
To Convert to logarithmic
- 8 = 2^3 –> LOG2 8=3
- 27= 3^3 –> LOG3 22 =3
4/01/09 – 2nd Block April 2, 2009
Today in class we reviewed over Rational Functions. We took notes on how to operate Rational Functions and a 3 Question Quiz about it. An example of what a Rational Function and how to answer it is.
(2m^3n^2)/-18m^5n^4 =
1. Break down exponents…. 2^1*3m^3*3n^2*3/-18m^5n^4
2. Simplify…. 8m^9n^6/-18m^5n^4
3 . Divide by 2 to get it to its simplified version…. 4m^4n^2/-9
JOHN JOSEPH
Simplifying Rational Expressions April 1, 2009
Yesterday we simplified rationals. The steps to doing this is..
1. Put them in descending order
2. Put them into factor form
3.Reduce common terms
& last you have you simplified form
* If the term is negative…FACTOR OUT A -1
This is really easy in my opinion. The only things I have trouble remembering is to factor out a -1
–Maya
Today’s Media Center Activities (3-31) March 31, 2009
First, begin with a bit of refreshing practice of all types of factoring (15 mins):
http://coolmath.com/algebra/algebra-practice-polynomials.html
Second, review the concepts that help us graph rational functions (15 mins):
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_rational_domain.xml
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_rational_graphing.xml
Thirdly, practice simplifying a few rational expressions (15 mins) (SHOW COMPLETED TO MRS. HAWN FOR CW CREDIT!):
http://www.algebralab.org/practice/practice.aspx?file=Algebra1_11-5.xml
Finally, your homework for tonight is to complete WB: pg. 59 1-7
3/25/09 – 2nd Block March 26, 2009
Today in class we went over Radicals. We started off reviewing the homework which was Pg. 31 25 -32 in the workbook we discussed problems 25, 26, 28, & 32. Mrs. Hawn demonstrated how to effectively operated different types of radical problems. We did a review game in class dealing with radicals. The game was called Difficulty, the purpose of the game was to prepare us for difficult radical problems. I actually like this new review game because it will prepare me and other students for the hard EOC test questions in June. Then we did a 3 Question Quiz at the end of class and I thought it was a little bit hard. – John Joseph
3/24/2009 Period 2. March 25, 2009
Today in Ms. Hawns’ class we started to review for our EOC exam which will be happening in 12 weeks, that time will come fast, so we need to start reviewing what we have learned from the beginning of the year. To start off with reviewing today we went over all different types of radicals. Ms. Hawn did an example of each type of radical that we have already learned. Some of the types that were mentioned are just a simple radical you have to factor completely and then find the groups and move them outside then leave the individual numbers inside. We also went over adding and subtracting, and multiplying radicals. Many people find that the multiplying radicals are more difficult, but they are basically the same thing except you are multiplying by then denominator to get the radical of the denominator. After we reviewed those all those types, we then received a 3 front and back page packet, and worked with our peers on it for the remainder of class. Tomorrow we will be having a 3 question quiz on the radicals that we reviewed today. I am so glad we are starting now, and taking the time that we have to go over all of the topics to refresh our memory.
CHRISTINA CHAMRA.
2nd Block – 3/24/09 March 25, 2009
Today in class we have started our 2 Week Review Unit over various Algebra 2 Concepts. The concept that we went over today is Radicals, the different types of Radicals we went over were Simplifying, Multiplying, Dividing/Rationalizing, Adding & Subtracting, Equations. We took notes dealing with all types of Radicals and did a big review packet just dealing with Radicals. Know on how to solve Radicals. I will do in example of how to solve a Simplifying Radical Problem.
Simplifying Radical Example) Square Root of 32 – Use the Factor Tree, then find to multiples that go into 32. For example 8 & 4 are multiples of 32. Then you breakdown the 2 multiples. 8 goes into 2 & 4. 4 goes into 2 & 2. The only number you can simple next is 4 because it goes into 2 & 2. Know collect like numbers but you can only do pairs of 2. There are only two pairs you can collect which are 2 2’s. Then you bring them out of the radical and each pair comes to one number so if you can a pair of 2’s they come to one 2. Then multiply them together which comes to 4. Then the number that didn’t get a pair stays in the radical. The answer is 2 Square Root of 2.
Thursday: March, 19, 2009 March 23, 2009
Reminder and recap of March, 19, 2009: Today in class Mrs. Hawn started out by reviewing any questions students had on are homework labeled applications of exponential functions. Then she went straight into are review game called matho, It turned out to be a great review, she answered any questions that students had on any of the problems up on the board. She also assigned three extra credit points for any student who got the definition of a half-life. As well as gave us a parent /student project to be completed by next Monday (March, 23, 2009).
Review: Mrs. Hawn explained that the test on Monday would consist of word problems; there were three different methods on how to solve each word problem correctly.
The three methods on how to solve word problems:
>Any word problems that contains the word Continuously well require the A=Pe^rt equation.
>Any word problems that contains the word Compounded will require the A=(1+r/n)^nt equation.
>Any word problem that contains the word Half-life will require the Y=a (1/2)^t/half-life equation.
} I found that the word problems at first were a bit challenging but when I figured out which method of solving best fit the word problem it became a bit more easier to understand.
Reminder to all student: our test that was scheduled for Friday (March, 20, 2009) has now been rescheduled for Monday (March, 23, 2009), Mrs. Hawn is also allowing you to still take the test as scheduled if wanted but you must notify her. So remember to take this extra time to study. Have a great day! :]
3/17/08 – 2nd Block March 19, 2009
Today in class we reviewed over Base of e and Natural Logarithms which we started yesterday. We did a worksheet in class that was also collected for a grade. It had 12 problems on it dealing with Equations and Inequalities with the E and LN operation. An example of an equation dealing with the base of E and Natual Logarithms are e^4x = 120. How to solve a Base of E is. Step 1 – Get the natural logarithm of both sides (ln e^4x =ln 120). Step 2 – The ln e on the left side of the equation cancels out and the exponent is no longer a exponent anymore. (4x = ln 120). Step 3 – Get the natural logarithm of 120 which is 4.787. You do that by doing the ln operation on your calculator. To do that you need your graphing calculator. Then press the LN button next the 4 button. Plug in 120 and close the natural logarithm. Step 4 – Divide both sides ( 4x/4 = 4.787/4). Step 5 – x = 1.197. After that assignment was over we started something new with logarithms which is Simple Interest. We did a work sheet dealing with it and also Natual Logarithmic equations. – John Joseph
