Archive+Algebra+2+Red+2011-12

=Unit 8: Rational & Radical Functions= toc

=End of the year 2012= We Supercorrected, worked on our notecards for the final, and took the Follow-up Test.

__IW:__
 * Finish Supercorrections.
 * Study for the Follow-up Test: blank copy of the test is here
 * Look over the the final exam revision guide and make your notecard!

=Friday, June 1st, 2012= Today was test day.

__IW:__
 * Look over the the final exam revision guide.
 * Go through Chapters 5-8 in your text book and add to your notecard any bold **vocabulary** words or blue boxed concepts that you have not memorized already.

=Wednesday, May 30th, 2012= We began class by discussing the final exam and looking at the online grade calculator. We then reviewed the Key Skills of Unit 8 and discussed old IW questions.

__IW #9:__
 * Test next class.
 * Optional extra credit: do one or more problem from each of the eight Chapter Review sections on p. 546-551.
 * Be sure you have finished, checked, and corrected each problem from IW #1 to #8. Organize and staple your pages together.
 * Revise for the test. If you need additional explanations, the rational and radical functions pages on PurpleMath are excellent.
 * PatrickJMT has some great videos- search for "rational" or "radical".
 * Watch the Khan Academy videos.

= Friday, May 25th, 2012 = We began class with the Manga High challenge for simplifying square roots [silver or gold medal for extra credit] and used it to discuss our final topic of the year: simplifying radical expressions. We then corrected the quiz and went over old IW questions.

__ IW #8 __ :
 * p. 532/4-7, 9-13, 23, 29, 35, 47, 53, 73, 87

= Wednesday, May 23rd, 2012 = We began class with the IW quiz. Those who finished early worked on the Manga High challenge for square and cube roots [silver or gold medal for extra credit]. We then went over the IW. If you still have any questions after going the IW, be sure you post them online. We then learned how to solve radical equations.

__ IW #7 __ :
 * p. 541/4, 5, 6, 13, 17, 19, 41, 68, 70

= Monday, May 21st, 2012 = We began class by going over the IW and learning how to use Geogebra to solve rational equations and inequalities. We then went over the follow-up test and the IW quiz. We then learned about radical functions, their domains, and reviewed our transformations on their graphs (see p. 522).

__ IW #6 __ :
 * p. 525/4-6, 9, 10, 15, 19, 37, 39, 41, 55, 59, 68, 74, 78
 * IW Quiz next class on IW #1-#5.

= Wednesday, May 16th, 2012 = We had the IW quiz. Those who finished early used the Manga High challenge [silver or gold medal for extra credit] to practice adding/subtracting algebraic fractions. We then went over the IW and learned how to solve rational equations and inequalities. Here are problems 5-8 from the new IW: and.

__ IW #5 __ :
 * p. 517/5-8, 9, 11, 15, 17, 29, 33, 60, 64, 68

= Monday, May 14th, 2012 = We began class by going over the IW and learning how to add and subtract algebraic fractions with like and unlike denominators. After the follow-up test, we practiced multiplying and dividing algebraic fractions that require factoring using the Manga High challenge [silver or gold medal for extra credit].

__ IW #4 __ :
 * p. 509/4-7, 11, 13, 17, 23, 53, 58
 * IW #1 to #3 quiz next class. Be sure your IW's are up to date!

=Thursday, May 10th, 2012= We began class by multiplying and dividing algebraic fractions using the Manga High challenge [silver or gold medal for extra credit]. Be sure to use the Teach Me Now button before you start! We then went over the IW and learned how to use factoring to enable canceling when multiplying, dividing, and simplifying complex fractions.

__IW #3__:
 * p. 502/4-8, 11, 13, 17, 19, 31, 52, 56
 * Prepare for the Follow-up Test by practicing with the Unit 7 test questions (blank copy of the test here).

=Tuesday, May 8th, 2012= We began class by simplifying algebraic fractions using the Manga High challenge [silver or gold medal for extra credit]. Be sure to use the Teach Me Now button before you start! We then went over the Unit 7 test Supercorrections in anticipation of the test next class. We went through the IW questions and then learned about rational functions and how to find their domain, asymptotes, and holes.

__IW #2__:
 * p. 495/6-10, 11, 15, 19, 25, 31, 37
 * Prepare for the Follow-up Test by practicing with the Unit 7 test questions (blank copy of the test here).

=Friday, May 4th, 2012= We Supercorrected and then reviewed direct variation and learned about inverse and joint and combined variation. Photos from today's board:, , and,.

__IW #1__:
 * p. 486/13, 15, 21, 25, 29, 31, 48, 50, 52, 58, 60
 * Finish Supercorrections if necessary to submit Monday

=Unit 7: Polynomial Functions= =Wednesday, May 2nd, 2012= We Supercorrected.

__IW__:
 * Work on finishing your Supercorrections. There will be some time in class on Friday to ask questions and work on them as well.

=Monday, April 30th, 2012= Today was the test day. Those who finished early worked on factoring practice on the Manga High game called The Wrecks Factor [earn a medal for extra credit].

__IW__:
 * Begin your Supercorrections. Tests available Tuesday. If you forget to pick yours up, just send Mr. O'B an email, and he'll send you yours...

=Thursday, April 26th, 2012= We began class with a partner IW quiz that could not hurt (only help). We then used the remainder of the period to review Unit 7 by going over IW questions.

__IW #6__:
 * Be sure you have finished, checked, and corrected each problem from IW #1 to #5. Organize and staple your pages together.
 * Revise for the test. If you need additional explanations, the polynomial pages on PurpleMath are excellent.
 * PatrickJMT has some great videos- search for "polynomials".
 * Here are the Khan Academy polynomial videos.
 * Optional extra credit: do one or more problem from each of the five Chapter Review sections on p. 468-470.

=Tuesday, April 24th, 2012= We began class by correcting the IW quiz, and then we went over the IW from last class. We discussed further how to find zeros of polynomials using the Rational Root Theorem, the Complex Conjugate Root Theorem, multiplicity, synthetic division, and the Fundamental Theorem of Algebra. We did this using the first problems of IW #5 (pictures and ).

__IW #5__:
 * 463/5-9, 13, 29, 31, 37, 41, 45, 47, 54

=Friday, April 13th, 2012= We began class with the quiz on IW #1 & #2. We then did p. 446/73 and 83 together to revise long division and synthetic division. We went over the IW questions and connected the vocabulary zero, solution, root, factor, x-intercept. We used p. 452/4-9 to put these ideas into practice and also learned the technique of variable substitution (photos from board: and ).

__IW #4__:
 * 452/4-9, 11, 15, 17, 29, 43, 68, 72

=Wednesday, April 11th, 2012= We began class with p. 438/43 and a Manga High factoring challenge. We went over the test and the IW (especially the regression and end behavior) and learned about products and factors of polynomials. We used p. 445/5, 6, 7 to revise factoring and learn about the new difference/sum of cubes pattern. We learned the Factor and Remainder Theorem and ended by learning how to divide using long division (read about it here) and synthetic division. We also looked at how Wolframalpha can help in these problems.

__IW #3__:
 * p. 445/4-13, 19, 25, 35, 49, 59, 67, 75, 81, 97
 * Optional videos: Long Division, Synthetic Division, Remainder Theorem
 * Be ready for the IW #1 and #2 quiz next class

=Monday, April 9th, 2012= We began class with the follow-up test. Those who finished early worked on the Manga High equations challenge. After, we learned about local extrema and intervals where a polynomial function's graph is increasing/decreasing. We also discussed what it means for a function to be continuous. We investigated end behavior using p. 435/1-17 and finished by learning how to use Geogebra to make a polynomial regression model.

__IW #2__:
 * p. 437/5-8, 11, 19, 33, 37, 39, 51, 53

=Thursday, April 5th, 2012= We began class by going over the Unit 6 test in preparation for the Follow-up test next class. We then explored the graphs of polynomial functions using the investigation on p. 427. We revised some polynomial vocabulary: monomial, coefficient, binomial, trinomial, degree of a monomial, degree of a polynomial. We also learned how to classify polynomials by degree (constant, linear, quadratic, cubic, quartic, and quintic).

__IW #1__:
 * p. 429/4-8, 11, 17, 19, 23, 25, 27, 29, 39, 41, 45, 53, 69, 79
 * Review your Unit 6 test in preparation for Monday's follow-up test. practice test and answers to practice test

=Tuesday, April 3rd, 2012= We corrected the test from last class in preparation for the follow-up test. We then worked on SAT revision problems (still good practice for all students, even if you're not taking the SAT).

__IW__:
 * Finish correcting the Unit 6 test if necessary. Use these answers from the revision to help!
 * Go to the Practice Quizzes tab on the SAT site and do Algebra and Functions Practice Quiz #3

=Unit 6: Exponential & Logarithmic Functions= =Friday, March 30th, 2012= Today was the test. Those who finished early worked on the Manga High challenges.

__IW__:
 * Relax. Maybe [|Google a cool math video]?

=Monday, March 26th, 2012= We began class by correcting the IW quiz. We then went over the IW questions. We spent the remainder of the period working on the Unit 6 Test Rough Draft.

__IW #7__:
 * Finish the Unit 6 Test Rough Draft. Correct using [|this answer key].
 * Study the rough draft- the real test on Friday will be the *same* questions with slight number changes. Here is a blank copy of the Unit 6 Test Rough Draft to practice with: [[file:math-ob/U6T a2 rough draft.pdf|U6T a2 rough draft.pdf]]
 * Organize your IW #1 to #7 to submit on Friday.

=Thursday, March 22nd, 2012= We began class with the IW quiz. After the quiz, we revised with some ThatQuiz log questions (link above) and then these Khan Academy log questions. We went over the IW questions and then finished by learning how to solve log equations.

__IW #6__:
 * Watch this 3:07 PatrickJMT video on solving log equations.
 * p. 407/5, 6, 15, 17, 19, 21, 23, 25
 * Don't forget- any late Quarter 3 work (corrections of Supercorrections, U5Q2 retakes, etc.) must be finished by 3 pm Friday!

=Tuesday, March 20th, 2012= We began class by working on the Manga High problems [earn a silver or gold for extra credit]. We then went over the test and the quiz and reviewed the meaning of a logarithm. We went over IW questions, revising how to solve exponential equations and the powerful Change of Base formula. We finished class by learning about Euler's number e and natural logarithms, including how they are used in continuous compounding.

__IW #5__:
 * p. 397/6, 7, 9, 10, 19, 29, 35, 41, 47, 49, 51
 * Be sure IW #1-#4 are corrected before the quiz next class.

=Thursday, March 15th, 2012= We began class with the IW quiz. Those who finished early worked on the Manga High problems [earn a silver or gold for extra credit]. After we went over the IW questions, we corrected the test from last class. We then learned how to solve exponential equations by taking the common log of both sides. This led to the powerful Change of Base formula to calculate *any* logarithm on a calculator.

__IW #4__:
 * p. 389/6-9, 11, 17, 23, 27, 29, 35

=Tuesday, March 13th, 2012= We began class with the Supercorrection Follow-up Test. Those who finished early did the p. 374 log questions and then worked on the Manga High problems [earn a silver or gold for extra credit]. After we went over the IW questions, we learned the Big Three Log properties as well as the inverse and one-to-one properties.

__IW #3__:
 * p. 374/33, 47, 65, 71, 77 [done in class]
 * p. 381/7-12 [done in class]
 * p. 381/33, 37, 43, 47, 55, 66-68
 * Quiz next class- be sure IW #1 and #2 are done and corrected...
 * Optional: Finding the properties confusing? Watch this 9:14 Khan Academy video.

=Friday, March 9th, 2012= We began class by learning some applications of exponential functions, including the term "multiplier" and population growth and compound interest. We then went over IW questions and the Unit 5 test. We finished by learning how to undo an exponential function: the logarithm! "The Relationship" from Purple Math:

__IW #2__:
 * p. 358/13, 14, 15, 21, 47 [done in class]
 * p. 367/8, 31 [done in class]
 * p. 374/4-6, 8-10 [done in class]
 * p. 374/15, 17, 19, 29, 31, 35, 45, 57, 61, 67, 73, 75, 79
 * Optional: Not sure what a logarithm is? Watch this 9:48 Khan Academy video. It's like having Mr. O'Brien in your laptop with the added bonus of being able to pause and rewind... Or, if you prefer to read, this Purple Math page provides a nice summary.
 * Don't forget: the 2 page Supercorrection Follow-up test next class counts as much as the original 4 page test combined with the Supercorrections. Since it will consist of the exact same questions as the original test (with slight number changes), you can review for it by using this blank copy of the original test: [[file:math-ob/U5T_algebra2.pdf|U5T_algebra2.pdf]]

=Wednesday, March 7th, 2012= We worked on Supercorrections. After that we looked at an allowance question (take a penny on the first day of the month, 2 pennies on the second day, 4 pennies on the third, etc.) to explore the power of exponential functions. This led us to look at the generic exponential function and it's domain, range, and y-intercept, as well as some new vocabulary (asymptote, exponential growth, exponential decay).

__IW #1__:
 * Watch this Khan Academy video on graphing an exponential function by hand
 * p. 358/25, 29, 39
 * p. 367/6, 7, 11, 13, 15, 25-28

=Midterm= Section A and B for R1 Section A and B for R3 Answer sheet for Section C (also write your answers on the hard copy)

=Unit 5: Quadratic Functions= =Monday, March 5th, 2012= We supercorrected.

__IW__:
 * Finish Supercorrections. They are due in class Wednesday.

=Thursday, March 1st, 2012= There was no school today because of the snowstorm.

__IW__:
 * Supercorrect. If you have not picked up your test yet, please do so on Friday. If you don't pick it up Friday, just email me, and I will send you a scanned copy. If you are stuck on a problem, we will have time in class Monday, but you can also email me questions.

=Tuesday, February 28th, 2012= Today was test day for R3. Those who finished early either re-took the IW quiz or worked for extra credit silver/golds on Manga High. Students in R1 Supercorrected.

__IW__:
 * Supercorrect. R3 students will need to get their test on Wednesday.

=Friday, February 17th, 2012= Today was test day for R1. Those who finished early either re-took the IW quiz or worked for extra credit silver/golds on Manga High.

__IW__:
 * Relax.

=Wednesday, February 15th, 2012= We began class by going over the IW and then we corrected the IW quiz together. The quiz can be made up to an 80%- if necessary, come by for a retake ASAP. We then revised quadratics graphically and algebraically using a single quadratic function; we looked at factoring, completing the square, and the quadratic formula. We used the remainder of the time to review for the test next class by working on IW #9.

__IW #9__:
 * Finish IW #1 to #8. Check answers in the back and re-do problems as necessary. Make sure all have your name, date, number, and assignment, and then staple in order with a cover page.
 * Retake the IW quiz from last class if necessary.
 * Optional [extra credit for doing these]: p. 340/1, 3, 5, 9, 11, 17, 23, 27, 33, 39, 42, 61, 67, 71, 77, 79, 81, 85, 93, 99, 107
 * Need additional explanations on quadratics? Try these:
 * 1) [|Video Explanations at the Khan Academy]
 * 2) [|Video Explanations from PatrickJMT]
 * 3) [|Tutor’s explanation at Purplemath.com]

=Monday, February 13th, 2012= We began class with the IW quiz. Those who finished early practiced completing the square on Manga High (silver or gold medal earns extra credit!). After going over the IW and learning how to fit a quadratic function using a regression curve in Geogebra, we ended class by looking at quadratic inequalities in one and two variables (ThatQuiz examples here). Here is the example in one variable that we ended class with: and

__IW #8__:
 * p. 334/6, 7, 11, 25, 29, 39, 45
 * ThatQuiz questions from link on website

=Thursday, February 9th, 2012= We began class with a ThatQuiz warm-up (link above)- more complex number graphing practice or more graphing quadratic practice. We then reviewed complex number operations using the previous IW questions on complex numbers and practiced using the new IW questions below. We ended class by learning how to find a parabola that passes through three points.

__IW #7__:
 * Complex number practice in your notebook (answers at end):
 * 1) Every other odd in this set of addition/subtraction/multiplication
 * 2) Problems 7, 9 13, 17, 21 in this set of absolute value and graphing
 * 3) Problem 11 in this division sheet
 * p. 327/7 (use a matrix equation to solve the resulting system: online calculator here)
 * p. 327/19 (use an augmented matrix to solve the system: online calculator here)
 * Quiz on IW #1 to #6 next class! Be sure your IW's have all the notes you need for completing the square, the quadratic formula, complex numbers, etc.

=Tuesday, February 7th, 2012= We began class by practicing with the quadratic formula on Manga High (silver or gold medal earns extra credit!). We then corrected the quiz and went over IW questions, emphasizing the connections between our different solution techniques and the graphic interpretation of the equations. This led us to our notes for the day: the discriminant and complex numbers. We learned how to add, subtract, multiply, and divide complex numbers as well as learning about the complex conjugate. We also discussed the complex plane and the absolute value of a complex number. We used the first problems from the IW to discuss these new ideas. Here are the last problems we did together: and.

__IW #6__:
 * p. 319/4-13, 19, 21, 23, 37, 43, 45, 51, 55, 63, 65, 93
 * Quiz on IW #1 to #5 postponed to Monday's class!
 * Optional: this 4:21 minute video from PatrickJMT on graphing and adding/subtracting complex numbers and [|this 7:22 minutes video] on multiplying/dividing complex numbers

=Friday, February 3rd, 2012= We began class with the quiz and then went over IW questions. Mr. O'Brien used the completing the square technique on a gnarly quadratic (p. 301/3) to show how it could solve *any* quadratic. We also looked at how to solve the same problem graphically. We examined the p. 307 derivation of the quadratic formula and the corresponding little result for the axis of symmetry being –b/2a. We finished with some examples.

__IW #5__:
 * Watch this 4:27 minute video from PatrickJMT on using the quadratic formula
 * p. 311/5, 6, 9, 11, 15, 19, 23, 25, 33, 43, 49, 50

=Wednesday, February 1st, 2012= We began class by "running some laps" by working on levels 1 through 3 on the Flashy Maths factoring website. We then worked the Manga High factoring quadratics challenge (silver or gold medal earns extra credit!). We went over IW questions, paying particular attention to the GCF, PST, and DOTS as well as equation solving using the Zero-Product Property. We then took notes on how the PST gives us the technique of completing the square for solving *any* quadratic equation and how it also allows us to write a quadratic in vertex form for easier graphing.

__IW #4__:
 * Watch this 3:54 minute video from PatrickJMT to introduce solving an equation using completing the square
 * p. 304/7, 9, 17, [27- hint: try dividing through by –2 first!], 29, 31, 41, 62-65
 * Quiz next class on IW #1 to #3

=Monday, January 30th, 2012= We began class with a Manga High graphing quadratics challenge. We discussed the IW, which led to a discussion of how to solve quadratic equations with graphing, including the connection between a "zero" and an "x-intercept." We looked at the PatrickJMT video and discussed factoring by guess and check and then "ran some laps" by getting 5 correct on each of levels 1 through 3 on the factoring website. We discussed factoring out the GCF and the special DOTS and PST cases. We finished by discussing the Zero-Product Property and how it allowed us to use factoring to solve quadratic equations (and hence find zeros of quadratic functions). Notes from those last four explanations are available and.

__IW #3__:
 * p. 295/5-7, 11-17 odd, 24, 25, 28, 35, 37, 61, 65, 85
 * Watch this 4:36 minute video from PatrickJMT to introduce solving an equation using completing the square

=Thursday, January 26th, 2012= We began class with a Manga High expanding binomials challenge. We then "ran some laps" of practicing the FOIL method by expanding these binomial products in our notebooks (and checking as we went). We went over IW #1 questions and revised the vocabulary of quadratic functions, and then ended with a brief explanation of how to solve some quadratic equations using square roots.

__IW #2__:
 * p. 286/4-13, 17, 21, 31, 37
 * Watch this 7:36 minute video from PatrickJMT to review factoring trinomials by trial and error

=Tuesday, January 24th, 2012= We began class with an extra credit opportunity- answering Section C from the exam in groups of three or four. We then gave an individual reflection on the first semester, and then in groups of three or four, we came up with some pieces of advice for success in an O'Brien math classroom. We then discussed the rest of our midterms and introduced our new unit on quadratic functions by reviewing FOIL and introducing some vocabulary: axis of symmetry, vertex, minimum and maximum.

__IW #1__:
 * [[file:math-ob/course outline algebra 2.pdf|Course methodology]]: take another look as we start the second semester
 * p. 278/4-12, 17, 19, 23, 39, 43

=Thursday, January 12th, 2012= There was no school due to the snow day. Here is the midterm revision guide.

=Tuesday, January 10th, 2012= We began class with p. 249/20 as a warm-up. We then corrected the quiz and looked at a great quarter two project. We finished by learning a new way to solve systems with matrices: the reduced row echelon form of an augmented matrix. We used this calculator to do the calculations.

__IW #5__
 * p. 249/20
 * p. 262/7, 13, 17, 26, 29, 33
 * Be sure you can do all the problems on IW#1-#5 in preparation for the quiz next class.
 * Organize IW #1-#5 and staple the cover page to submit on Thursday

=Friday, January 6th, 2012= We began with the quiz and then discussed the IW. This led to a discussion of how to solve systems with matrix equations. We were a bit rushed at the end of R3, so here is how we solved #29 from IW #4:
 * 1) We wrote a matrix equation for the system [[file:math-ob/board_1_6.jpg|on the board]]. Since we can do the same thing to both sides of the equation, we chose to multiply each side by the inverse of A (since there is no such thing as division with matrices).
 * 2) We used the online calculator to find the inverse, and we used 15 decimal places to maximize our accuracy: [[file:math-ob/inverse_1_6.jpg|here is the inverse.]]
 * 3) Finally, we copied the inverse and pasted it into the online calculator so that we could multiply it by A. This solved the matrix equation: [[file:math-ob/equation_1_6.jpg|here's that answer.]]

__IW #4__:
 * p. 248/8, 15, 17, [19, 25, 29- use the online calculator), 37, 38, 39

=Wednesday, January 4th, 2012= We began class by revising matrix multiplication here in anticipation of the quiz next class. After discussing the IW questions, we learned a little bit about similarities and differences between matrix operations and normal algebra operations. This led to the inverse and determinant of a matrix and how to use matrices to code messages, using p. 239/5-9 from IW #3.

__IW #3__:
 * p. 239/5-9, 11, 15, 19, 21 (using an online calculator like this one), 49, 54
 * Be sure you've finished and corrected IW #1 and #2 in preparation for the quiz next class!

=Thursday, December 22nd, 2011= There was no R3 class. In R1 class, we practiced matrix multiplication.

IW:
 * None. (R1 class, submit the practice matrix multiplication sheet from class with your other IW's at the end of the unit- be sure it's finished and checked).

=Tuesday, December 20th, 2011= We began class by using this webpage to review matrix dimensions and elements. We also did p. 222/35 and 39 from IW #2 and discussed some matrix algebra. After discussing IW #1, we learned how to multiply matrices. We then practiced.

__IW #2__:
 * p. 222/35, 39
 * p. 229/9, 11, 13, 17, 25, 32, 38
 * In preparation for next class, please watch this Kahn Academy video on matrix inverses
 * If you have trouble with matrix multiplication, this PatrickJMT video or this PurpleMath explanation might help.
 * To quickly multiply matrices, this online calculator can help.

=Friday, December 16th, 2011= We began class with the Unit 3 Supercorrection Follow-up Test. We then explored matrices: dimension, element, adding/subtracting, and scalar multiplication. We used the text book examples in pairs.

__IW #1__: p. 221/5-9, 13-19 odd, 25, 41, 59-62, 68-70

=Wednesday, December 14th, 2011= We began with some independent time on the project. We then went over the Unit 3 test and discussed how to prepare for Friday's Supercorrection Follow-up Test. We then took a look at the project rubric again and discussed how to do the best work on the quarter project.

__IW__:
 * Study for Friday's test. Since it will have the *exact same* questions as the original test (with slight number changes, so don't just memorize answers!), it is very studyable. Use [[file:math-ob/U3T a2.pdf|this blank copy]] to make sure you can do each problem from scratch. Check your answers using your Supercorrections. If you have any questions, email or text Mr. O'B or stop by MDS...
 * Finish your project. Be sure to review the project rubric. Some common issues include: not using paragraphs, not checking spelling, not giving your project a final proof read. Be sure your final project does NOT include numbering. Make sure it reads as a complete document on its own- the reader should not have to look at the original project Activity 1 to 6 to understand your project. Finally, be creative!

=Monday, December 12th, 2011= We worked on the project. Those who were not finished with Supercorrections finished them up.

__IW__:
 * Spend an hour on your project; it is due Friday. You will have class time Wednesday and IW time for Friday.

=Thursday, December 8th, 2011= We Supercorrected.

__IW__:
 * Finish Supercorrections to submit Monday.

=Tuesday, December 6th, 2011= Today was test day. After the test, we worked on the quarter project.

__IW__:
 * Work on the quarter project. To earn your responsibility points, be sure that you make some changes to your Google Doc.

=Friday, December 2nd, 2011= We began class with two parametric equation warm-up questions. We then went over IW questions and ended class by working on Activity 2 of the quarter project.

__IW #7__:
 * p. 204/5, 11, 17, 21, 31, 35
 * Be sure all problems from IW #1 to #7 are finished, check and corrected. Staple in order with cover page to be submitted Tuesday.
 * Test next class - it will include questions from the Unit 2 test (old copy with solutions here: [[file:math-ob/U2T a2 solutions.pdf|U2T a2 solutions.pdf]])

=Wednesday, November 30th, 2011= We began class with a ThatQuiz inequality graphing warm-up (link above). We then went over linear programming from the IW and did Activity 1 and Activity 3 from the quarter project together. We finished class by learning about parametric equations.

__IW #6__:
 * p. 199/4-8, 11, 15, 39, 45, 47

=Monday, November 28th, 2011= We began by correcting the quiz and then we went over the IW. We then discussed the quarter project on Linear Programming (see p. 202 and 203) and how it will be assessed ( rubric here ). We created the Google Doc (**Q2 Algebra 2 Project Your First Name**) and shared it with obrienbluester@gmail.com. We then learned the four steps of Linear Programming and practiced with the new IW.

__IW #5__:
 * p. 191/4-7, 23, 25
 * Watch PatrickJMT explain Linear Programming (11:11)

=Thursday, November 17th, 2011 & Monday, November 19th, 2011= R1 took the quiz Thursday. We did some Manga High revision of linear inequalities and went over IW #3. We then used IW #4 to work on graphing systems of linear inequalities together. R3 did the same thing on Monday since we did not have class Thursday.

R3 took a practice quiz from ThatQuiz on Monday and then finished IW #4 and played the Save Our Dumb Planet Manga High game- extra credit for a Bronze, Silver or Gold medal.

__IW #4__:
 * p. 182/4-8, 17, 19, 21, 27, 35
 * Make sure you've earned at least a bronze on the Manga High challenge from class.

=Tuesday, November 15th, 2011= We began class by reviewing linear inequalities using this applet in order to answer this question: what's the difference between graphing y = 2x – 1, y < 2x – 1, y ≥ 2x – 1, y ≠ 2x – 1, etc. Once we felt that we knew how to do it, we practiced here. We reviewed the Elimination Method by going over the IW and then spent the remainder of class working on IW #3.

__IW #3__:
 * p. 176/4-7, 9, 10, 29, 31, 56, 62, 66, 70
 * ThatQuiz four graphing problems from the link above
 * Review IW #1 and #2 in preparation for the quiz next class- you can use your IW on the quiz!

=Thursday, November 10th, 2011= We began class with a systems of equations warm-up on Manga High. After going over questions from IW #1, we revised the Elimination Method of solving systems of equations.

__IW #2__:
 * p. 168/5, 7, 8, 11, 15, 17, 21, 23
 * Earn at least a bronze medal on the two warm-up challenges from class on Manga High: Golds/silvers earn IOU's!
 * Optional: If you have difficulty with the Elimination Method, you may find this 9:59 video from PatrickJMT helpful.

=Tuesday, November 8th, 2011= We corrected the Supercorrection Follow-up test, took a look at Mr. O'Brien's online grade calculator, and discussed IOU's. We then reviewed how to solve systems of equations using both a graphing method and an algebraic substitution method. We practiced.

__IW #1__:
 * p. 160/5-9, [13, 23 no need to classify], 25, 29, 35, 40, 43
 * In preparation of solving a system of equations using three variables, watch this 8:23 KhanAcademy video. Do the problem Sal does in the video on your IW.

=Friday, November 4th, 2011= We spent the first half of the class Supercorrecting and discussing Unit 2 and the second half taking the follow-up test.

__IW__:
 * Relax and get ready for the new quarter.

=Wednesday, November 2nd, 2011= We discussed the challenge of Algebra and strategies for rising to that challenge and then Supercorrected.

__IW__:
 * Finish Supercorrections- the correct test answers are available here: [[file:math-ob/U2T a2 solutions.pdf|U2T a2 solutions.pdf]].
 * Revise the test questions for the Supercorrections Follow-up test during the second half of class Friday. You will have time to ask questions during the first half of class.

=Halloween, 2011= Today was the test day. Those who finished early went for silver and gold medals on their challenges on Manga High.

__IW__:
 * Wednesday and Friday's classes will be dedicated to Supercorrections, and we will have a Supercorrection follow-up test at the end of class Friday. So, enjoy Halloween with no math independent work...

=Thursday, October 27th, 2011= We began class by going for Bronze medals in each of the 5 function transformation challenges on Manga High. We then took a further look at transformations using this Geogebra sketch:. We reviewed for Monday's test by discussing IW #7 and correcting the quiz.

__IW #8__:
 * p. 144/11, 13, 15, 17, 21, 23, 27, 29, 35, 39, 41, 43, 47, 49, 53, 57, 59, 61
 * Be sure you have bronze medals in all your Manga High challenges!
 * To get a feel for the test questions, look over the practice Chapter Test on p. 147
 * If you need some specific revision, check out the links for Purple Math (wonderful written explanations) and Khan Academy (video) and PatrickJMT (video) at the end of the Questions page above.
 * Organize your independent work to be submitted- make sure each is checked (tick or cross), corrected (with work- not just the right answer from the back), and then staple together in order.

=Tuesday, October 25th, 2011= Unfortunately, Mr. O'Brien is away today, but you are in the capable hands of Mr. Withey. Please begin class by posting your IW #6 questions on the Questions link above. You will then take the quiz; those who finish before the 40 minutes are up can share their answers to the IW #6 questions from the Questions link. The final topic of Unit 2 is function transformations. Assuming the internet is up and going, Mr. Withey will let PatrickJMT dazzle you with his wonderful explanations of horizontal/vertical translations, horizontal/vertical stretches and compressions Part I and Part II, and reflections. If the internet is down, you can read pages 134 to 138 instead.

__IW #7__:
 * p. 139/6-10, 11, 13, 17, 19, 33, 39, 43, 47, 57

=Friday, October 21st, 2011= We began class with some revision of function composition and connected it with inverse functions and "undoing." We then explored an inverse problem using Geogebra and took notes on piecewise functions, step functions (both floor and ceiling), and absolute value functions. The notes from the board are available and.

__IW #6__:
 * p. 115/37, 39 (from class)
 * p. 121/33 (from class)
 * p. 129/17, 19, 27, 29, 31, 37, 47, 79, 87 (optionally, check out these videos for another explanation of graphing piecewise functions and the greatest integer function)

=Wednesday, October 19th, 2011= We began class by correcting the IW quiz. After going over questions from IW #4 and learning about function composition, we learned about inverse functions by again discussing Sneetches. Vocabulary included definitions of the terms function composition, inverse, and horizontal line test. The notes from class on the board included, , and.

__IW #5__:
 * Watch this 9:32 video introduction to functions
 * p. 114/8, 9, 43
 * p. 121/6, 7, 10, 15, 35, 41 (use Geogebra for 41)
 * Here is an *optional* 6:44 video on inverses of function

=Monday, October 17th, 2011= We began class with the IW quiz. After going over questions from IW #3, we learned about functions by discussing Sneetches and using and equations, tables and graphs. Vocabulary included definitions of the terms function, domain, range, vertical line test.

__IW #4__:
 * p. 107/5-10, 12-15, 31-37
 * p. 114/4-7

=Thursday, October 13th, 2011= We began class with a number types warm up. Those who didn't finish the exponent work from last class (the pre-assessment and ThatQuiz- links below) did so. We then broke into small groups to work on either the Product Rule, the [|Division Rule], the Power to a Power Rule, or Manga High practice (extra credit for silver and gold medals!). We discussed the Supercorrection follow-up test and took notes summarizing our exponent findings.

__IW #3__:
 * Earn at least bronze medals on the 4 Manga High competitions (extra credit for silvers and gold!).
 * p. 98/6-17 all, 25, 27, 29, 53, 63
 * Be sure IW #1 and #2 are finished and corrected- quiz on them next class!

=Tuesday, October 11th, 2011= We started class with the Unit 1 Supercorrection Follow-up test. We then took a brief exponent pre-assessment (record your answers here) and then worked through 3 exponent warm ups on ThatQuiz.org (link above). We finished with some brief notes on exponent vocabulary: exponent, base, coefficient, term, and variable.

__IW #2__:
 * Watch this 14 minute Khan Academy video on zero, negative, and fractional exponents.
 * Do each of the three sets of Assistments.

=Wednesday, October 5th, 2011= We began class with a ThatQuiz.org warm up (link above). We then discussed the test and how to study for the follow-up test (blank copy of the ). We watched a brief (and slightly corny) video on irrational numbers and reviewed the number types. Mr. O'Brien helped those who had not finished Supercorrecting while others worked on the new IW.

__IW #1__:
 * p. 90/12-15, 17-29 odd, 86, 90, 93
 * Study for the follow-up test next class!!!

=Monday, October 3rd, 2011= We supercorrected.

__IW__:
 * Submit Supercorrections by 3 pm Tuesday (to give Mr. O'Brien time to correct them for class on Wednesday so you have them to study for the Supercorrection Follow-up test).

=Thursday, September 29th, 2011= We supercorrected.

__IW__:
 * Work on finishing Supercorrections (info and more blank forms here) Get help from Mr. O'B, MDS, etc. There is a math teacher available every study hall.

=Tuesday, September 27th, 2011= Today was the test day!

__IW__:
 * Read about Supercorrections [|here].

=Friday, September 23rd, 2011= We began class with a demonstration by Mr. O'Brien of how to graph scatter plots using Logger Pro by looking at p. 43/25acd. We discussed the line of best fit and correlation as well as how find a value algebraically and graphically. We practiced the skill in pairs using p. 43/25bcefg. After going over IW questions (the IW questions from R3 class are posted and ) and correcting the quiz, we discussed what Tuesday's test will cover.

__IW #9__:
 * p. 43/25bcefg
 * p. 72/1, 5, 11, 13, 17, 21, 23, 27, 31, 35, 43, 45, 49, 51
 * To get a feel for the test questions, look over the practice Chapter Test on p. 77
 * If you need some specific revision, check out the links for Purple Math and Khan Academy at the end of the Questions page on the website.
 * Organize your independent work to be submitted- make sure each is checked (tick or cross), corrected (with work- not just the right answer from the back), and then staple together in order.

=Wednesday, September 21st, 2011= We began class with the quiz over the IW's that we have discussed in class- IW #1 to IW #6. Everyone should now have completed this brief student information sheet. We talked briefly about how to match your learning styles with Mr. O'Brien's teaching philosophy and then discussed absolute value equations and inequalities extensively. We learned how to use wolframalpha.com to solve any math problem and how sister equations and graphs can make inequalities easier.

__IW #8__:
 * p. 68/25, 31, 39, 41, 45, 55, 70, 72, 75, 77

=Monday, September 19th, 2011= We began class by discussing the importance of using mistakes to learn math and then corrected the quiz in pairs. The warm-up problems included solving an equation and an inequality graphically, doing some ThatQuiz practice graphing problems (link above), answering this question, and completing this brief student information sheet. We went over IW #6 and then worked 4 absolute value equation and inequality problems from IW #7 together. Here are those four problems:

__IW #7__:
 * QUIZ next class on IW #1 to #6. Be sure you've got them all corrected and you've gone over QUIZ #1 and QUIZ #2.
 * p. 67/6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19-24

=Thursday, September 15th, 2011= We began class with the quiz. We then went over the IW #5 and learned how to use Geogebra to solve equations graphically. We then transitioned to inequalities, solving them graphically and algebraically. We also discussed compound inequalities and the difference between AND and OR.

__IW #6__:
 * p. 58/5, 6, 8, 9, 11, 15, 23, 41, 51, 57

=Tuesday, September 13th, 2011= We began with a direct variation and a proportion warm-up and then corrected the quiz. We discussed IW #4 and took notes on equation solving (including fractions with the Dutch Applet and literal equations).

__IW #5__:
 * QUIZ next class on IW #1 to #4. Be sure you've got them all corrected and you've gone over QUIZ #1.
 * p. 48/6, 7, 8, 9, 11, 21, 35, 47, 48, 50, 51, 55

=Friday, September 9th, 2011= We began with the quiz. We then went over questions from IW #3 and took notes on direct variation and proportions.

__IW #4__:
 * p. 33/8, 9, 10, 11, 12, 13, 21, 33, 43, 57

=Wednesday, September 7th, 2011= We began class with a warm up on finding values from graphs and tables which led us to the importance of equations. Algebra really does make life simpler. We discussed IW #2, focusing on slope intercept form and how to convert from standard form to that form using algebra. We then learned how to find the equation between two points using the Point Slope Form of a line. We ended class by investigating the relationship between slopes of parallel and perpendicular lines.

__IW #3__:
 * QUIZ next class on IW #1 and IW #2.
 * Look over IW #1 and IW #2 and make sure they are checked and corrected. If there are any errors remaining, stop by MDS to fix them up! You will be able to use them on the quiz next class.
 * p. 25/5, 6, 7, 8, 9, 11, 15, 25, 37, 45, 51, 53, 55

=Thursday, September 1st, 2011= We began class by taking some measurements for the Unit 1 project (p. 70/1-4 of Activity 1) and recorded the results here. We then talked about the importance of the project (it's a test grade!) and how it will be assessed (rubric here). We discussed the responsibility and independent work rubrics (using this Prezi) and went over IW #1, answering all questions in preparation for the quiz next Friday. We then took notes on the slope of a line and the slope-intercept form of a line. We finished by looking at the standard form of a line and horizontal and vertical lines.

__IW #2__:
 * Look at IW #1 and make sure it is checked and corrected. If there are any errors remaining, stop by MDS to fix them up!
 * p. 17/5, 6, 7, 8, 9, 10, 17, 23, 24, 31, 37, 53, 55

=Tuesday, August 30th, 2011= We began class with some introductions and a discussion of the course methodology, including what Algebra 2 s is all about, expectations for class, the importance of independent work, how to get help, and more. We then discussed how to represent linear relationships with a table, graph, and equation. We finished with a brief look at the textbook and talked about how to format homework assignments.

__IW #1__:
 * p. 8/4, 5, 6, 25, 31, 39, 41, 49
 * Give the parent/guardian letter to your parent/guardian (a copy is available on the home page).
 * Cover your text book.