Archive+Algebra+2+2012-13

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=Unit 6: Exponential & Logarithmic Functions=

=Friday, April 26th, 2013= Mr. O'Brien is out today. To help you Supercorrect, I have posted some similar problems that have the worked solutions here. You may also use WolframAlpha, other math teachers, me (via email or in person Monday), etc.

__IW__:
 * Finish Supercorrections. You will have some time Tuesday to ask questions and do a little more work, but they are due by the end of the day. The follow up test is Thursday.

=Wednesday, April 24th, 2013= Today was the test. Those who finished early worked on the Manga High challenges.

__IW__:
 * SAT practice: p. 416/6, 8-12, 17, 18, 19, 20, 21, 22, 28 (answers to check on class website)
 * Maybe [|Google a cool math video]? Maybe go for some the Manga High extra credit?

=Monday, April 22nd, 2013= We began class by doing some ThatQuiz questions. We then went over the IW questions and took a practice IW quiz.

__IW #7__:
 * p. 412/1, 3, 5, 9, 11, 13, 15, 19, 25, 26, 27, 31, 35, 41, 43
 * Organize your IW #1 to #7 to submit on Friday.
 * Optional practice quiz from the IW's

=Thursday, April 11th, 2013= We began class by watching this 3:07 PatrickJMT video on solving log equations. We noted the benefits of a video explanation- the ability to pause, rewind, rewatch. We then went over the IW quiz and IW #5, including the powerful Change of Base Formula. We learned about the special base e (Euler's number), including natural logarithms. We spent the remainder of the period working on the IW.

__IW #6__:
 * p. 397/6, 7, 9, 10, 19, 29, 35, 41, 47, 49, 51
 * p. 407/5, 6, 15, 17, 19, 21, 23, 25

=Tuesday, April 9th, 2013= Mr. O'Brien was away at the State Math Meet today. We began class with the IW quiz. Those who finished early worked on the new Manga High logarithm problems [earn a medal for extra credit]. We posted any IW questions and then began the new IW. As you read Example 3, note how you solve exponential equations by taking the common log of both sides. This leads to the powerful Change of Base formula to calculate *any* logarithm on a calculator.

__IW #5__:
 * Read Example 3 on page 387 and Example 4 on page 388. Note the Change-of-Base Formula in the blue box.
 * p. 389/6-9, 11, 17, 23, 27, 29, 35

=Friday, April 5th, 2013= We began class by revising logarithms using this ThatQuiz set (repeat until both you and your partner can get 100%). Those who finished early worked on earning a medal in the Manga High logarithmic function challenge. After we went over the IW questions, we looked at this sketch to discover how exponential and logarithmic functions are inverses. We then learned the Big Three Log properties as well as the inverse and one-to-one properties. We practiced using these Khan Academy problems.

__IW #4__:
 * p. 381/7-12 [done in class]
 * p. 381/33, 37, 43, 47-55 odd, 63-68
 * Quiz next class- be sure IW #1 - #3 are done and corrected...
 * Optional: Finding the properties confusing? Watch this 9:14 Khan Academy video.

=Wednesday, April 3rd, 2013= We began class by revising exponent properties using this That Quiz set (repeat until both you and your partner can get 100%). Those who finished early worked on earning a medal in the Manga High exponential function challenge. Mr. O'Brien then showed how to use a spreadsheet and the power of exponential functions to explore the best allowance scheme ever... We then reviewed the IW, including the term "multiplier" and population growth and compound interest. We then learned how to undo an exponential function: the logarithm! "The Relationship" from Purple Math: __IW #3__:
 * p. 374/4-6, 8-10, 15, 17, 19, 29, 31, 35, 45, 51, 57, 61, 65, 67, 71-83 odd
 * Optional: Still not sure what a logarithm is? Read this Purple Math page which provides a nice summary.

=April Fools Day, 2013= We began with two interesting questions: If you're interested in how we name large numbers, [|click here]. For a visualization of a trillion dollars, [|click here].
 * 1) When was one million seconds ago? How about one billion seconds ago? For more on this problem, [|click here].
 * 2) If a piece of paper could be folded in half fifty times, how high would the stack of paper be? For more on this problem, [|click here]. Have you heard that it is impossible to fold a piece of paper more than eight times? If so, [|click here].

After we discussed large numbers and exponential growth and the term "multiplier", 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). We learned how exponential functions are used with population growth and compound interest. We finished class by going over IW questions and the Unit 5 follow-up test.

__IW #2__:
 * p. 358/13, 14, 15, 21, 47
 * p. 367/5, 6, 8, 10-15, 25-28, 31 [done in class]
 * Preparation for next class: Watch this 9:48 Khan Academy video that introduces logarithms.

=Thursday, March 28th, 2013= We began by discussing the Unit 5 test (solutions here) before taking the follow-up test.

__IW #1__:
 * Watch this Khan Academy video on graphing an exponential function by hand
 * p. 358/25, 27, 29, 39, 54-57, 59, 61, 67

=Unit 5: Quadratics=

=Tuesday, March 26th, 2013=
 * 1) Go to the online Grade Calculator. Make a copy for yourself (File- Make a copy...) and play with it.
 * 2) To to the ThatQuiz link above. Be sure you have done the old IW and Supercorrected Q1.
 * 3) Supercorrect.
 * 4) When you have finished studying for Thursday's test, you may either do Manga High extra credit or Khan Academy practice.
 * 5) Be sure you are doing math all 80 minutes!!!

__IW__:
 * Study for Thursday's test by finishing Supercorrections (if necessary) & practicing with blank copy of the test (here )

=Week of March 18th, 2013= Mr. O'Brien is away for the two classes this week (he's working on a math exam in the Netherlands!). Mr. Wheelis will be your sub.

Monday, begin by going over the quadratic inequality IW. Spend the rest of the period on one of the following (choose the one which best meets your learning style!):
 * If you learn best by doing problems from the book, do these from the Chapter Review: p. 340/1, 3, 5, 9, 11, 17, 23, 27, 33, 39, 42, 61, 67, 71, 77, 79, 81, 85, 93, 99, 107 [extra credit for submitting on test day]
 * If you learn best by games, and competition, do the quadratics on Manga High (a medal earns extra credit!).
 * If you know you need more practice on the basic skills of this unit, work towards proficient on any of the Khan Academy assignments for the unit.

On Wednesday, you will take the Unit 5 test. If you finish early, please work on Manga High for extra credit.

__IW #11__:
 * Do the ThatQuiz problem set (get help if necessary- it won't save until you get 90%).
 * Finish IW #1 to #10 if necessary. 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. Make sure you have at least started each Khan Academy assignment (including videos!).
 * 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]

=Wednesday, March 13th, 2013= We began class by correcting the IW quiz in groups of two. This quiz can be retaken- if necessary, come by for a retake ASAP. Those who finished early practiced quadratics on Manga High (a 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 an example in one variable: and

__IW #10__:
 * p. 334/6, 7, 11, 25, 29, 39, 45
 * ThatQuiz questions from link on website
 * If you finish before your hour is up, go to the Khan Academy and work towards proficient!

=Monday, March 11th, 2013= We began class with the independent work quiz. Those who finished early continued working towards proficiency on the complex number pages in Khan Academy (see IW #8). We ended class by learning how to find a parabola that passes through three points.

__IW #9__:
 * Number 11 in this division sheet (don't print it out- do it on your IW page and check your answer at the end)
 * 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)
 * p. 327/31 (use FitPoly in Geogebra)
 * Spend the rest of your IW hour gaining proficiency in the Khan problem sets for Unit 5

=Thursday, March 7th, 2013= We began class by going over the IW, reviewing parabola graphing without technology, including completing the square. This led to graphing complex numbers in the complex number plane, adding, subtracting, and multiplying complex numbers, the complex conjugate, division of complex numbers, and the absolute value of a complex number. These are the Khan Academy activities for the day:
 * 1) Graphing in the complex plane
 * 2) Complex plane operations (Addition, Subtraction, Graphing)
 * 3) Multiplying complex numbers
 * 4) Dividing complex numbers
 * 5) Absolute value of complex numbers

__IW #8__:
 * Gain proficiency on each of the complex number links from today (but you don't need to work longer than an hour doing so- unless you want to...)

=Tuesday, March 5th, 2013= We began class by graphing parabolas in vertex form (be sure to use the hints for the first one or two problems!). We learned how to convert from standard form to vertex form using completing the square. We then went over the IW which led us to formulas for the axis of symmetry, the vertex, and the x-intercepts. We also looked at how to find the y-intercepts and how these formulas connected to solving equations graphically with LHS = RHS. We then learned about the discriminant which led to imaginary and complex numbers.

__IW #7__:
 * Work towards proficiency in graphing parabolas in vertex form
 * p. 304/41, 47 (do without technology; check with Geogebra)
 * p. 311/29 (do without technology; check with Geogebra)
 * p. 319/4-7, 19, 21, 23, 31
 * Watch this two minute video on complex numbers in preparation for next class

=Friday, March 1st, 2013= We began class by going over the quiz and then we looked at IW questions. This led us to review completing the square and brought us to the generalization of completing the square: the wonderful, all powerful Quadratic Formula!!! We went over an example in class, and then we worked on the IW problems in pairs. Those who finished early began the Khan Academy practice problems from the IW.

__IW #6__:
 * Finish the sheet from class if necessary
 * Achieve proficient in [|these quadratic formula problems] from Khan Academy
 * p. 311/5, 6, 23
 * Watch this video in preparation for more graphing next class
 * Extra credit: watch this great proof of the quadratic formula and email Mr. O'Brien that you did!

=Wednesday, February 27th, 2013= We began class with the quiz and then went over IW questions, reviewing how to solve quadratic equations with factoring and the Zero Product Property and graphing. We then took notes on how the PST gives us the technique of completing the square for solving *any* quadratic equation. We also looked at how to solve the same problem graphically.

__IW #5__:
 * Achieve proficient on Khan Academy completing the square
 * p. 304/7, 17, [27- hint: try dividing through by –2 first!], 29, 31, 62-65
 * Watch this video on the quadratic formula

=Monday, February 25th, 2013= We began class by using the Flashy Maths factoring website: 2 correct on Level 1, 5 correct on Level 2, and 3 correct on Level 3. Those who finished early worked towards proficiency on Khan Academy topics (see IW #4). We finished with some notes on factoring: GCF, reverse FOIL, DOTS, and PST. We then went over the Unit 4 Supercorrection Follow-up test together. We went over IW questions and connected equation solving algebraically to equation solving graphically. This led to equation solving using the Zero-Product Property.

__IW #4__:
 * p. 295/24, 25, 28, 61, 65, 71, 85
 * Achieve "proficient" in these Khan Academy practice problems (if you haven't already from class): simple factoring, the DOTS case, multiplying expressions, FOIL, and factoring with a GCF (be sure you're logged in!).
 * Watch this video to introduce solving an equation using completing the square
 * Quiz next class on IW #1 to #3

=Valentine's Day, 2013= We began class with the Unit 4 Follow-up test. We then worked on gaining proficiency at multiplying expressions, FOIL, and factoring with a GCF (be sure you're logged in!). Those who finished early began exploring the factoring website. Our goal for today is 2 correct on Level 1, 5 correct on Level 2, and 3 correct on Level 3. We went over IW #2 and shared some factoring tips, including the GCF, the DOTS and PST cases, and the role of "guess and check" when the //a// value is not one.

__IW #3__:
 * Work towards "proficient" in these Khan Academy practice problems: simple factoring and the DOTS case
 * Watch this video on completing the square (be sure you're logged in!)
 * p. 295/5-7, 35, 37

=Tuesday, February 11th, 2013= We began class by plotting some quadratic graphs(be sure you're logged in!) and reviewing FOIL again, and then did a little Manga High expanding binomials challenge. We went over IW #1 questions and revised the vocabulary of quadratic functions, and then ended with an explanation of how to solve some quadratic equations using square roots.

__IW #2__:
 * p. 286/4-13, 17, 21, 31, 37
 * Watch this video on factoring trinomials (be sure you're logged in!)

=Wednesday, February 6th, 2013= We began class by spending some time on Supercorrections. We then signed up for Khan Academy accountsby signing in and adding me as a coach (obrienbluester@gmail.com). We then introduced our new unit on quadratic functions by reviewing FOIL and introducing some vocabulary: axis of symmetry, vertex, minimum and maximum.

__IW #1__:
 * p. 278/4-12, 17, 19, 23, 39, 43
 * In preparation for next few classes on solving quadratics using square roots and other methods, please watch this Khan Academy video. You don't need to be able to do each step yourself yet, but I would like you to have an idea of where we're going. To get your responsibility points, please be sure you are logged in!

=Archive=

=Unit 4: Matrices=

=Thursday, January 31st, 2013= Today was test day!

__IW__
 * Do the Manga High challenge . Extra credit for a medal!

=Tuesday, January 29th, 2013= We began class by correcting the quiz in class. We spent the remainder of the class working on the Jeopardy review game in groups of two or three.

__IW #6__
 * Do each problem from the Jeopardy Review game (check your answers here).

=Friday, January 25th, 2013= We began class with the IW quiz. Those who finished early did some ThatQuiz practice in preparation for the Unit 4 test. After going over the IW questions, 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

=Wednesday, January 23rd, 2013= 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 finished discussing the rest of our midterms- remember that the Unit 4 test will include questions from the midterm. We then looked at making and breaking codes using matrices which led to solving systems with matrix equations (like p. 249/29 from the IW): __IW #4__:
 * 1) Write 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, multiply each side by the inverse of A (since there is no such thing as division with matrices).
 * 2) Use the online calculator to find the inverse, using 15 decimal places to maximize our accuracy: [[file:math-ob/inverse_1_6.jpg|here is the inverse.]]
 * 3) Finally, copy the inverse and paste it into the online calculator so that we can multiply it by A. This solves the matrix equation: [[file:math-ob/equation_1_6.jpg|here's that answer.]]
 * [|Course methodology]: take another look as we start the second semester
 * p. 248/8, 15, 17, [19, 25, 29- use the online calculator), 37, 38, 39

=Midterm Exam= Section A & B Section C answer sheet

=Friday, January 11th, 2013= We began class with the quiz. Those who finished early worked on some exam revision. We corrected the quiz and then went over IW #3, including how to code and decode messages and how to find determinants. We spent the remainder of class working on the notecard for the midterm.

__IW__: Midterm Revision Guide

=Wednesday, January 9th, 2012= We began class by doing one more midterm revision using ThatQuiz (link above). We then took a quick look at a visual of matrix multiplication. We then answered several questions in our notebook: >
 * 1) Use Safari and go to [|this website]. Use it to generate two 2x2 matrices to multiply. Do the multiplication in your notebook. If you get stuck, click on the "step" link. When you finish, use the "step" link to check your answer.
 * 2) Use the link above to multiply a 2x3 matrix and a 3x2 matrix. Again, do the multiplication in your notebook and then check with the applet.
 * 3) Use Safari and go to this website. Set p = 2, q = 2, and r = 2. Enter the numbers below and then click Start and then Demo. Do the multiplication in your notebook, and then check using the applet.[[image:math-ob/Screen Shot 2013-01-09 at 10.28.42 AM.png]]
 * 4) Use the link above and set p = 3, q = 3, and r = 3. Enter the numbers below and then click Start and then Demo. Do the multiplication in your notebook, and then check using the applet.[[image:math-ob/Screen Shot 2013-01-09 at 10.30.26 AM.png]]
 * 1) Is multiplication of matrices commutative? In other words does the order in which you multiply matrices matter? In other words, is A x B the same as B x A? Test your conjecture using this online calculator.

After discussing the IW questions, we learned a little bit about similarities and differences between matrix operations and normal algebra operations: Associative, Distributive, Commutative, Identity and Inverse. We learned about the determinant of a square 2x2 matrix and how it tells us whether a matrix has an inverse. We finished by using a matrix to encode a message and then its inverse to decode it (using numbers on p. 234).

__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!

=Monday, January 7th, 2013= We began class by doing some more midterm revision using ThatQuiz (link above). We then used 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 looking over 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 (but remember that you need to be able to do it by hand, too!)

=Thursday, January 3rd, 2013= We began class with some Midterm revision using the ThatQuiz link above. We then looked at the Midterm Revision Guide and the Mr. O'Brien's cool grade calculator. We noted that late work (re-quizzes, additional work on the projects, etc.) will be accepted up until Friday, January 11th. We then corrected the Unit 3 Supercorrection Follow-up Test. We finished class by exploring 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

=Unit 3: Systems of Linear Equations & Inequalities=

=Wednesday, December 19th, 2012= Since Monday was a snow day, we first reviewed the Unit 3 test. We then took the follow-up test.

__IW__:
 * None, except some of you will want to do more work on your project!

=Thursday, December 13th, 2012= We began by working on the project together. Mr. O'Brien pointed out that Activities 3-5 are similar to the example on p. 190. We then took a look at the project rubric again and discussed how to do the best work on this assignment that is **worth as much as a unit test**. Mr. O'Brien shared some particularly good student work this far. While students worked on their projects, he conferenced with individuals. He also pointed out that although the Follow-up Test is postponed until Wednesday, you can prepare for it over the weekend by doing the blank copy again for practice...

__IW__:
 * Finish your project. Be sure to review the project rubric. Some common issues include:
 * 1) not using paragraphs and linking sentences
 * 2) not checking spelling
 * 3) 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!
 * Study for Wednesday'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 [|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...

=Tuesday, December 11th, 2012= We Supercorrected and worked on the quarter project.

__IW__:
 * Submit your Supercorrections by 3 pm Wed to have them graded by Thursday. We will have all class on Thursday to work on the project.

=Pearl Harbor Day, 2012= We began by working on Activity 3 of the project together. We then took another look at the rubric for the project. We then Supercorrected.

__IW__:
 * Work on Supercorrections. You will have time in class on Tuesday; they are due that afternoon by 3 pm.

=Wednesday, December 5th, 2012= 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. Here is the rubric for the project.

=Monday, December 3rd, 2012= In preparation for the test on Wednesday, we first finished the partner quiz. Those who finished early organized their IW. We then worked on Activities 1, 2, and 3 of the quarter project.

__IW__:
 * Make sure that you have done each problem in IW #1 to #7, showing working. Then, make sure you have checked each in the back of the book (evens above). Finally, correct any errors (use MDS and Mr. O'Brien!).
 * Practice your ThatQuiz graphing until you can consistently get 100%.
 * Use Purple Math, Kahn Academy, and Patrick JMT to review for your Unit 3 test as necessary (links on the Questions page above).

=Thursday, November 29th, 2012= We began class with two parametric equation warm-up questions and went over the IW before doing the quiz. We ended class by working on Activities 2 and 3 of the quarter project.

__IW #7__:
 * p. 204/5, 11, 17, 21, 31, 35

=Tuesday, November 27th, 2012= 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
 * Thursday's QUIZ includes this IW- be sure to post any questions *before* the quiz.

=Tuesday, November 20th, 2012= 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__:
 * Watch PatrickJMT explain Linear Programming (11:11)
 * p. 191/4-7, 23, 25

=Thursday, November 16th, 2012= We began class with the quiz. 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.

__IW #4__:
 * p. 182/4-8, 17, 19, 21, 27, 35
 * Extra credit for at least a bronze (more for silver or gold) on the Manga High challenge from class.

=Wednesday, November 14th, 2012= We began class by listening to this NPR story on the role of struggling in education. Following that, we reviewed 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!

=Friday, November 9th, 2012= We began class with a systems of equations warm-up on Manga High. After going over questions from IW #1, we corrected the follow up test and revised the Elimination Method of solving systems of equations.

__IW #2__:
 * p. 168/5, 7, 8, 11, 15, 17, 21, 23
 * Extra credit: earn bronze, silver, or gold medal on the two warm-up challenges from class on Manga High.
 * Optional: If you have difficulty with the Elimination Method, you may find this 9:59 video from PatrickJMT helpful.

=Wednesday, November 7th, 2012= We began class by reviewing how to solve systems of equations using both a graphing method and an algebraic substitution method. We then took the Supercorrection Follow-up test. Those who finished early began IW #1.

__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.

=Unit 2: Numbers & Functions=

=Monday, November 5th, 2012= We began class by finishing the three sets of Assistments. We took a look at Mr. O'Brien's online grade calculator, and discussed IOU's. We then discussed the challenge of learning algebra and strategies for rising to that challenge and then Supercorrected. Those who finished early went for silver and gold medals on their challenges on Manga High.

__IW__:
 * Finish Supercorrections- the correct practice test answers are available here: U2T a2 solutions.pdf. These Supercorrections will not change your Unit 2 test grade, but they will prepare you for the Follow-up test next class.
 * Be ready for the Supercorrections Follow-up test next class. The Follow-up test will look just like the test and the practice test. Use Math Directed Study! Stop by to see Mr. O'B...

=Thursday, November 1st, 2012= Today was the test day.

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

=Tuesday, October 30th, 2012= We practiced for the real test on Thursday by doing a practice test in pairs.

__IW #9__:
 * Use these answers to make sure you can do every problem on the practice test. Since the real test will look *exactly* like this one, if you can't do a problem, stop by Math Directed Study or email Mr. O'Brien.
 * Organize Unit 2 IW's. Be sure each is checked and corrected and staple in order with the cover page.

=Friday, October 26th, 2012= We began class by going for 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, 49, 53, 57, 59, 61
 * 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.

=Wednesday, October 24th, 2012= We began by posting IW #6 questions on the Questions link above. We then took the quiz; those who finished early shared their answers to the IW #6 questions from the Questions link. The final topic of Unit 2 is function transformations. We then used Geogebra to explore transformations of functions- shifts, stretches, and reflections.

__IW #7__:
 * p. 139/6-10, 11, 13, 17, 19, 33, 39, 43, 47, 57
 * Transformations can be confusing. The transformations are summarized on p. 134 to 138. You may also want to check out these videos: horizontal/vertical translations, horizontal/vertical stretches and compressions Part I and Part II, and reflections.

=Monday, October 22nd, 2012= We began class by doing some IW #6 problems revising function composition and connecting 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.

__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)
 * Quiz on IW #1 to #5

=Thursday, October 18th, 2012= We began class by trying p. 114/11 & 17 from IW #5 and correcting the IW quiz. After going over questions from IW #4 and learning about function composition using p. 115/35 from IW #5, 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, 11, 17, 35, 43
 * p. 121/6, 7, 15, 29, 35, 41 (use Geogebra for 41)
 * Here is an *optional* 6:44 video on inverses of function

=Tuesday, October 16th, 2012= We began class with a number types warm up. We then took the IW quiz. After going over questions from IW #3, we learned about functions by discussing Sneetches and using this Geogebra file 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

=Friday, October 12th, 2012= We began class by breaking into small groups to work on the Product Rule, the Division Rule, and/or the Power to a Power Rule. Students who finished early or had tested out of the work through the ThatQuiz links and pre-assessment (see links from Wednesday) worked on Manga High exponent practice (extra credit for medals!). Mr. O'Brien helped those who had not sign up for Assistments do so. We discussed the Supercorrection follow-up test (the next time we will see these questions will be the midterm in January) and took notes summarizing our exponent findings.

__IW #3__:
 * 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! (To finish IW #2 three sets of Assistments, you need to get three in a row correct for each. If you get stuck, use the hints! If you are really stuck, stop by to see Mr. O'Brien or ask the MDS teacher to do them with you...)

=Wednesday, October 10th, 2012= 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.

=Thursday, October 4th, 2012= We began class with a ThatQuiz.org warm up (link above) and then did a Manga High warm up on rational and irrational numbers. We then discussed the test and how to study for the follow-up test (blank copy of the original test available below). We watched a brief (and slightly corny) video on irrational numbers and reviewed the number types and the properties of algebra. 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, 39, 41, 53, 86, 90, 93
 * Still not sure about the difference between rational and irrational numbers? This video will certainly sort you out.
 * Study for the follow-up test next class (blank copy of the test and practice ThatQuiz slope, [|graphing], and writing equations)!!!

=Unit 1: Data & Linear Representations=

=Wednesday, September 26th, 2012= Today was the test day!

__IW__:
 * Read about Supercorrections [|here]. Check out the sample Supercorrections here.

=Monday, September 24th, 2012= 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 (some IW questions from class are posted and ) and correcting the quiz (using answers posted here), we discussed what Wednesday's test will cover (see p. 72-76).

__IW #9__:
 * p. 43/25bcefg
 * Optional test practice (for extra credit) p. 72/1, 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.

=Thursday, September 20th, 2012= We began class with the quiz over the IW's that we have discussed in class- IW #1 to IW #6. Those who finished early worked on the Manga High challenges (bronze, silver, and gold medals earn extra credit). We 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
 * Would you like a little more help on this challenging topic? Watch this 2:40 video for another example.

=Tuesday, September 18th, 2012= We began class with a brief ThatQuiz warm-up (link above) and answered this question. We then corrected the quiz in pairs and discussed the importance of using mistakes to learn math. We went over IW #6 (including compound inequalities with AND and OR) and learned how to solve an inequality graphically (slide from class is here). We 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

=Friday, September 14th, 2012= We began class with the quiz. We then worked on another set of practice ThatQuiz problems (link above) and went over the IW #5 and learned how to use Geogebra to solve equations graphically. We also used the Dutch Applet to model some problems. We then transitioned to inequalities, solving them graphically and algebraically (if you need more practice with the dots and the direction of the inequality symbols, go here). We also discussed compound inequalities and the difference between AND and OR.

__IW #6__:
 * Watch this video and this video that show how compound inequalities work (each are less than 2 and a half minutes long)
 * p. 58/5, 6, 8, 9, 11, 15, 23, 41, 51, 57

=Wednesday, September 12th, 2012= We began with this introductory survey. We then used the ThatQuiz link above to review our work with slopes and lines. Those who needed extra help did a little more practice with slopes, graphing equations, and finding equations. We corrected the IW quiz, taking note of the direct connection to the problems from IW #1 and #2. We then went over IW #4, reviewing direct variation and proportions. We ended by taking 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

=Monday, September 10th, 2012= 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

=Thursday, September 6th, 2012= 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 and learning how to find the equation of a line parallel or perpendicular given a point and a line.

Objectives:
 * write a linear equation using Point-Slope form
 * write an equation for a line that is parallel or perpendicular to a given line through a given point

__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, 11, 15, 25, 37, 45, 51, 53, 55

=Tuesday, September 4th, 2012= We began class by checking over IW #1, answering all questions in preparation for the first quiz. We discussed the responsibility and independent work rubrics (using this Prezi). We then took notes on the slope of a line and the standard and slope-intercept forms of a line and horizontal and vertical lines. We used this ThatQuiz page to practice and we finished with a few examples.

Objectives:
 * review slope
 * graph a linear equation
 * write a linear equation for a given line

__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

=Thursday, August 30th, 2012= We began class with some introductions and a discussion of the course methodology, including what Algebra 2 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.

=Archive=