6-20 The final exam grades are on powerschool, and your quarter grade is complete with 1 missed homework dropped. Many of you have shown such growth this year as young adults, I know you'll be even more successful next year. If I don't see you tomorrow, have a safe and happy summer! 6-13 Almost done putting quarter grades in. F block has their exam on Tuesday and H block on Thursday. You may check you answers to the review packet or get help Monday and Tuesday, not sure about Wednesday. As we have seen, if you don't prepare for a test, you may do very poorly. But, studying involves more than a review packet if you want to do well. You should be checking your notes and redoing examples we did in class, and trying odd ones from the sections so that you can check your answers. If you're not absolutely sure how to do something, then you can't do it on a test, go back to the section and work on it until you are confident. Remember to memorize those few things you can't figure out for yourself. Good luck. p.s. if you still can't find your review packet, see you after school on Monday, I will have a few more copies. 6-7 We reviewed what topics from 9.1-9.3 will be on our last quiz on Wednesday. We also reviewed some equations from 8.6 for the test make-up points also on Wednesday. F block finished the chapter by solving rational equations with an LCD or by cross-products of a proportion. H block learned about complex fractions and solving an equation with an LCD. Again, see ex.'s 1-3 on pg. 568-9 to go over this. Assignment: F Block: You can have another day if you didn't hand in pg. 565: 38-44 even and pg. 571: 16-32 even. Your last assignment is: pg. 572: 34-50 even. Both are due Wednesday. H Block: Pg. 565: 38-44 even, if you didn't do it already, and pg. 571: 16-32 even. See F block above if you want your last assignment ahead of time. 6-3 F block had some review of combining fractions with unlike denominators, then finished 9-5: complex fractions. With the shortened period, we briefly looked at using these skills to solve an equation. The best strategy is to multiply through both sides by the LCD. Please read examples 1-3 on pg. 568-9 to confirm what we were doing.H block will take up these subjects Monday. The quiz on 9.1-9.4 will be Wednesday, so will the second attempt at chapter 8 equations. Assignment:for F block: pg.g 565: 38-44 even, if you didn't do it already. Pg. 571: 16-32 even. for H block: Since you are going to have chapter 9 homework next week that I didn't plan on, you may want to get started on the review packet for the final. 6-1 Notes on combining rational expressions that don't have a common denominator. Time for a CFA on Chapter 8. Monday we will have a quiz on 9.1-9.4, and a chance to gain some chapter 8 test points by solving equations. Assignment: pg. 565: 12-22 even, 26-32 even (38-44 even will be part of Thursday's assignment because we didn't get to complex fractions.) Do some of the equations on practice 8.6 so that we can review on Thursday. Test on 8.1-8.6 will be on Thursday May 27. After the test, the assignment to begin in class and finish for homework will be pg. 558: 16-24 even, 28-44 even, in case you want to start it ahead of time. 5-25 Graphing rational functions that aren't quite so simple as those in 9.2. Then, using a middle-school skill of canceling like factors when multiplying or dividing rational expressions, only now we're doing it with variables and binomial factors. Reviewed the 2 quizzes. Don't forget that 8.6, solving equations, is also on the test. Assignment: pg. 550:12, 14, 16, 20-25, 30, 36 AND STUDY Chapter 8 including the different ways to represent an exponential word problem. 5-21 Review solving equations from the 8.6 part of the chapter review assignment. Notes on graphing rational expressions 9.2 and 9.3. Assignment: pg. 543: 12-22 even, 24, 28, 38. When matching graphs, state the part of the graph and equation that you used for a clue. 5-19 (for the record) Quiz on 8.4-8.5. Notes on 9.1 inverse and joint variation. Assignment: read pg. 534-536. Pg. 537: 21-28, 30, 32, 38-46 even, 54, 56-57 Quiz on Wednesday 5-19: 8.4 and 8.5 5-17 (for the record) NWEA testing going on, so just working on the chapter review assignment in class. Assignment: pg. 524: 1-35, omit 15, 16, 21, 23. 5-13 Solving 4 kinds of exponential and logarithmic equations. assignment: pg. 505-506: 19-24, 26-58 even, 62-65. The formula for #62 is on pg. 502. 5-11 Notes on 8.5: properties of logarithms and the change of base formula. assignment: pg. 496-497: 14-25, 30-56 even, 58-66 even. 5-7 (for the record) Wrap up of 8.1-8.3 for quiz on Tuesday. Notes on 8.4 and 8.5. Assignment: pg. 490-491: 16-35, 36,37,41,48-62 even, 65,66. 5-5 (for the record) Doing the test on Ch. 7 and then some notes on Logarithms 8.4. Assignment: Exponential function graphing worksheet: 1-6; The meaning of logarithms worksheet: 1-8 and 21-32 5-3 Sorry this wasn't on sooner, but it matches the last entry on the syllabus, if you went ahead and did that. The test is Wednesday, please review your class notes and homework (and never again distribute an exponent to separate terms inside a parentheses.) Assignment: pg. 483-484: 17-36, 50-60 even, 61-66, 69, 73, and recalculate #59-64 on pg. 471 using continuous compounding. 4-29 Quiz on 7.5-6, notes on how to use an exponential growth model (how to plug in values from a word problem to make an exponential growth function,) and exponential decay. If you missed the notes on the board, they are from the top of pg. 467, pg. 468, and pg. 474-76. According to the syllabus, the test is Monday, but it will be Wednesday instead. Assignment: pg. 470-1: 49-51, 56-64, pg. 477-79: 11-24, 28,30,34,36,43-46,50 4-27 We went over the parts of 7.5 and 7.6 that will be on the quiz Thursday. Moving on to graphing an exponential function and translating the graph. Assignment: The syllabus shows pg. 469-471: 13-25, 32, 38, 41, 49-51, and 56-64. Since we didn't get to the compounded interest function, you can stop after #41. The others will be assigned with 8.2 on Thursday. 4-23 With a substitute: Quiz on 7.1-7.4, then supposed to be working on the chapter test pg. 459: 1-3, 6-8, 11-15, 18, 19, 21, 22, 26, and 28. there appears to be some confusion about this and you may still make it up to hand in Thurs.4-29. Assignment: The chapter review pg. 456-458: 1-32 all. Again, there may have been a misunderstanding and so you may still make it up for Thurs.4-29. 4-21 Better understanding of easier ways to graph root functions, and 7.6, how to solve equations with rational exponents or radicals. Assignment: The 7.5 side of the practice sheet: the syllabus says 1-6, 7-17, and you don't need to graph 19 and 23 to answer them. You may skip 7 and 17 on that assignment. Today's assignment reades pg. 441-442: 18-42 even, and 48,50,52. You may skip 22, 24, 34, 36, and 50. This isn't due until Tuesday, however, there will be the additional assignment according to the syllabus on Friday. 4-20 Heads up! Another change to the syllabus. Because we didn't get to graphing radical functions yesterday, I've decided to put off the quiz until Friday. I will be out then, so you should still have all your questions ready for tomorrow. 4-19 Already a change to the syllabus! We didn't get to go over 7.5 translating the graph of square root and cube root functions, so the homework assignment for tonight doesn't include the 7.5 side of the worksheet. Doesn't that give you more time to study for the quiz on Wednesday?!? As per the syllabus, it's on 7.1-7.4. Assignment: Practice 7.4 worksheet: 1-25 odd, 26-29, study your previous quiz and your homework 7.1-7.4 ( the link below has a syllabus for the next couple of weeks, I will give you a copy in class tomorrow.) 4-8 There were a few notes on the board that I believe everyone had time to copy after the quiz and before the end of class. The notes were to help you graph square root and cube root functions. It is much easier if you have a perfect square or cube under the radical as needed. So, for the square root of x, you want to put in 0, 1, and 4 for x because then you are taking the square root of 0, 1, and 4. For the square root of (x-2), you want to put in 2, 3, and 6 for x, because then you are taking the square root of 0, 1, and 4. You still have to multiply or add whatever is outside the radical. Similarly, for the cube root, you want to adjust the x's you put in so that you are taking the cube root of -8, -1, 0, 1, and 8. Once you are accustomed to what the graph usually looks like and how it can shift, squeeze and stretch, then I think you will be better able to understand the brown and green boxes on pg. 431. Assignment from 4-8 due 4-19: Pg. 434-435: 22-26, 31-35, read pg. 431-432, pg. 434: 15-21, we will work on domain and range together. 4-6 reviewing for the quiz on 7.1-7.3 for Thursday. A lot of topics are possible, so there may not be a question on every single one, we can't spend the whole period on it. Assignment: F block (3B): pg. 419: 41-51 odd with domains, pg. 426-427: 14-24 even if you didn't already, 26-32 even, 36, 38, and 40. H block (5B): pg. 412: 56-74 even, pg. 426: 14-32 even, 36, 38, 40. 4-1 H block is still a little behind, but we did go over the rules which limit domains and simplifying radicals with variables. F block also looked at inverses, however we didn't go over how to check inverses, so the assignment of 26-32 (even) on pg. 426 is in error. Don't throw it away if you already did it, obviously it will be assigned next. We will have a quiz on Thursday April 8 on 7.1-7.3 so that we get it in before vacation. Assignment: In order to even up; the following is a list of 4 assignments and which class I believe has already been assigned them. Worksheet 7.2 A: 4,5,7,10,16-18 and B: 10-27 both sections due Tuesday. Pg. 426: 14-24 even, due in F block Tuesday and H block Thursday (both classes will also get 26-32 even and 36,38,40 in that section.) Pg. 419 41-51 odd with domains: due in H block Tuesday and F block Thursday because F needs their notes on domain back. And lastly Pg. 412: 56-74 even, I'm not sure if I assigned this in F block, so it will be due for both sections Thursday. 3-30 F block was interrupted by drivers leaving and H block didn't meet at all. F block did get to look at domain, so H will have to catch up on that. We also need to review our simplifying rational exponents skills for a quiz next week. Assignment: F block only because it's a worksheet: Practice 7.2A: 4, 5, 7, 10, 16-18. Practice 7.2B: 10-27 3-26 (for the record) Operations on functions, including a new one besides addition, subtraction, multiplication and division, composition. Assignment: Pg. 418-419 12-50 even, leave a space after each problem, we will work on the domains together next class. 3-24 (for the record) Finishing the test and working on operations on radicals and rational exponents. Assignment: pg. 411: 30-54 all. 3-22 Good job on the first part of the test, we will finish next class. Assignment: read pg. 407-408 through example2, then do pg. 411: 13-15,22-28 3-18 I think everyone got this done in class while we were doing course recommendations. Pg. 404: 13-40,53-61. 3-16 Reviewed the homework on division from 6.5 and 6.6 before the quiz. If you missed the notes on the board for 6.8, please read pg. 374 the first paragraph and the green box. Any make up work or quizzes from chap. 6 owed by absentees must be done by Friday , as the test will be Monday. Assignment: pg. 377: 23-28, pg. 388-390: 1-20, omit 8 and 9. 3-12 (For the record) notes on 6.7 and 6.8. The quiz on 6.5 and 6.6 will be Tuesday, but the test on chapter 6 will not be until Monday 3-22. assignment: pg.370: 36-42 even; pg.376: 14, 17. 3-10 (for the record) reviewed homework from 6.3 and 6.4 and took the quiz. Assignment: Use repeated synthetic division on possible rational solutions, and factoring or other methods to solve higher degree polynomials. Pg. 363: 34, 40, 44, 48, 50, 52. 3-8 Going over our bag of tricks for factoring polynomials for the quiz on Wednesday on 6.3 and 6.4. And IF there is a rational solution to a polynomial, there are a finite number of possibilities for it. (synthetic division may be fast, but we still want to narrow down the ones we guess and check.) How to find them is in your notes or in the book on pg. 359. Assignment: pg. 362: 16-28 even. You'll be listing the possible rational solutions for some polynomials, and checking 4 possible rational solutions in some others. Don't forget to study for the quiz. 3-2 and 3-4: We need to be able to use synthetic division in addition to long division to split polynomials into factors. The only tricky part seems to be using the value of x in synthetic, and using a factor in long division, which involves an opposite sign. Assignment: You might have had trouble using synthetic on our previous assignment, the report is that the book isn't clear. So please redo any after #26 that you didn't do correctly, and then continue on to 54, only doing the even ones. 2-26 To Sophomores: Please try to be well rested for the math CAPT on Monday and Thursday, you have seen me make more mistakes when I am tired. Since you are taking Algebra II, you have been exposed to even more math concepts than is usual in 10th grade, and you stand to have some of the highest scores. Please do your best! Answers to the practice questions: 1) you should have a graph with distance marked off on one axis and time on the other. Points representing her position at each time should be connected in a line graph. Here is a sample of the answer to part b: According to the data in the table, Shonee traveled 30 kilometers in 100 minutes. Her average speed can be found by dividing the distance traveled by the time it took her to travel. Therefore, 30 km. divided by 10 minutes equals 0.3 km. per minute. Multiply 0.3 by 60, the number of minutes in an hour, to get 18 km. per hour for Shonee's average speed. Some of you are reluctant to write that much to answer a question. Please overkill on explaining and showing calculations. 2) .17 (there is no need to show work or explanation on the grid-in questions.) 3) 30. (the 30 is in the 2 spots left of the decimal.) 4) 3.3 (did you remember that you can make a proportion out of similar triangles?) Please e-mail me if you have questions about these. 2-26 To the whole class: Polynomial long division is going to be one of the best tricks in our bag for solving equations of higher degree and we really applied ourselves to learning the steps (Block F especially showed what they can do when they focus!) We will put off our quiz on 6.3-4 until after CAPT. Assignment: F block: (due Tuesday): Pg. 356-7: 16-38 even H block: (due Thursday): pg. 356-7: 16-46 even 2-24 We reviewed end behavior, and other questions from 6.1 and 6.2, and the quiz went very quickly. Assignment: Complete the 6.1-6.4 worksheet, students not taking the CAPT: Practice 6.4 worksheet #11,12,37-48, omit 40 and 43. Students taking the CAPT have the practice booklet, and Practice 6.4 worksheet #11, 12, 41, 42, 44, 46, 47. 2-22 future assignment: pg. 335: 65-67 some of you didn't plot 5 points to graph. pg. 349: 56-64 even, factor completely, 74-84 even, only need to list the real number solutions. 2-11 Factoring methods for polynomials of degree 3 or greater from section 6.4. Look for what configuration of terms would make a polynomial a candidate for each of the methods. The quiz on section 6.1-6.2 will be on Wed. the 24th. Have a healthy vacation! Assignment: pg. 348-349: 18-26 even, 27-32, 34-48 even. Future assignment Tuesday 2-9, due Thursday. pg. 341-2: 14-22 even, 26-36 even, 46, 48, 53, 54, and pg. 335: 65-67 graphed. Also 3 more in the CAPT packet or 4 more in the SAT. 2-5 Just took time to review the quiz on 5.5 and 5.6 before the test instead of concepts from 6.2 and 6.3, so we'll need to do some catching up on Tuesday and Thursday. Assignment: Read pg. 331, pg. 334 do #49-52, and 54-64 even. CAPT packet #10, 7, and 1, OR SAT packet #1-5. 2-3 (for the record) Taking a pre-test on ch. 6 and 7, Reviewing for the test, end behavior of polynomials. Assignment:pg. 333-334: 16-26 even, 32-44 even. Also: evaluate the parent function for your row for D={-1000, -1, 1, 1000} so we can share results. 2-1 The quiz on 5.5 and 5.6 wasn't that long, we had time to review first and go over the vocabulary from section 6.2. We are also learning synthetic substitution from this section, a method of evaluating a function for a given x value that we will use again later as a method of division of a given factor. Assignment: 6.1 pg. 326: 18-30 even: the directions say to evaluate and state the property at work, you may show the individual properties by showing each step of their effect instead, do not give decimal answers, just multiply and simplify; 32-46 even, you don't need to state the property, 52, 54. 1-28 Lots of errors today on the homework practicing completing the square and the quadratic formula. Try to overcome sign errors especially, and be careful about simplifying. The quiz on 5.5 and 5.6 is Monday, the test on chapter 5 is Friday. We won't have a word problem on the quiz, but on the test. We began chapter 6 today. Exponent rules and scientific notation came much more easily than solving quadratics! Assignment: Chap. review pg. 314-316: 1-26, omit #17. 1-25 Tomorrow's quiz is on 5.3 and 5.4 only. Assignment: Practice worksheet, the one with 5.1, 5.2, 5.3 and 5.4 on it, both sides. (The other worksheet with 5.5 and 5.6 isn't due until Thursday.)
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