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!
6-4 Reviewing the 9.1-9.3 packet so we know what problems will be on the quiz, which is moved to Thursday. Remember, completing that packet makes up for 2 missed homework assignments. Then a little more on Trig.
Assignment: On the back of our preprinted notes, complete #10-12. On the 12-7 worksheet, #1-3.
6-2 Notes on solving proportions, that part of 9-5 is the last of chapter 9 that we will do. Quiz on Tuesday on 9.1-9.3, use the packet to review. Then we started some right-triangle trigonometry.
Assignment: pg. 471: 24-32 even.
5-28 (for the record)Test today, then time to start homework.
Assignment: read pg. 450, on pg. 454: 2-20 even (for 14, 16, 18, and 20. factor after you combine the numerators so that maybe you can cancel a factor top and bottom.)
5-26 (for the record) Notes on 9.2, finding the LCM of 2 terms, whether we need the prime factorization of the coefficient and/or the factorization of the variable terms. Quizzes back and review for the test on Friday.
Assignment: pg. 448: 2-14 even, and Chapter 8 review sheet: 1-13
5-24 (for the record) Quizzes back next class because Test on Friday May 28 on 8.1-8.5 Notes on 9.1 simplifying rational expressions. Rational expressions have a fraction bar and 1 or more terms in the numerator, 1 or more terms in the denominator. If there's only 1 term in each, we know how to cancel and simplify number and variable factors. Now, if there is more than 1 term, we try to factor, so that we can do some of that cancelling. If we are multiplying or dividing rational expressions, it's just more of the same to simplify.
Assignment: pg. 441:6-12 even, 18-26 even
5-20 Review before the quiz. After the quiz, a few notes on simplifying rational expressions from 9.1.
Assignment: Chap. 8 review pg. 429: 3-7, 10-12, 19, 34, 36, 38, 40, factor and solve: 46, 50, 52.
5-20 Alert! Quiz on 8.3-8.4 on Thursday the 20th.
5-18 (for the record) Time in small groups to factor when a>1, that is, when you have to work around factors of the first coefficient as well as the constant. Then, notes on factoring a quadratic in order to solve it from section 8.5.
Assignment: If you were not a group leader, then you have an assignment to show your new mastery of factoring: 9-6 worksheet: 19-34. Everyone has pg. 417: 4-32 even, watch for problems where taking out a GCF will help you, and watch for those that match the special patterns.
5-14 An entry slip on factoring when there is a coefficient of the x squared term. Then 8.4 is about factoring special trinomials which we found much easier than guess and check.
Assignment: Practice 9-7 worksheet: 1-34 watch for ones that only fit the pattern after you factor out a GCF. Also, can still get credit for pg. 404: 2-40 even.
5-12 (for the record) Reviewing before the quiz, and factoring a trinomial with a value of a greater than 1 after the quiz.
Assignment: pg. 404-405: 2-40 even
5-10 Alert! Quiz on Wednesday on 8.1-8.2: factoring out a GCF, factoring a trinomial in to binomials, or both. We also learned how to find the binomials when the trinomial is a little more difficult.
Assignment: KUTA worksheet "when a>1": 1-26, omit 16, and notice on 8, 9, and 18, factoring out a GCF will help. Also: pg. 397: 86-100 even.
5-6 Test today on Chapter 7.
Assignment: Practice 9-5 worksheet #1-33 all.
5-4 Going over the material that will be on the test, then how to factor a trinomial if we can factor out a GCF first.
Assignment: On the a=1 worksheet, finish the ones we didn't do last night, and in the book, pg. 396-397: 30-40 even, 60-72 even.
4-30 We went over the review sheet before the quiz. Then we did more examples of factoring.
Assignment: "Factoring trinomials (a=1)" worksheet: 1-14, 18,19,23-25, on #8 check the negative factors of 24 and see why it is not factorable.
4-28: There seems to be some confusion about doing the chapter review assignment in addition to what was handed in during class Friday, so you may still do that assignment for credit. We reviewed for the quiz on 7.4 and 7.5 next class and then started on factoring. Instead of FOILing 2 binomials into a trinomial, we start with a trinomial and find the 2 binomials that are its factors.
Assignment: Finish the 7.4-7.5 review sheet; and pg. 396: 1-6 all, 8-28 even.
4-26 With a substitute: There will be a quiz on 7.4 and 7.5 Thursday 4-29. In class working on the Chapter 7 practice test worksheet #1-30 except 10 and 25 for a classwork grade.
Assignment: Chapter review pg. 379: 1-57 odd, skip 11 and 33.
4-22 Time after the quiz to practice dividing a polynomial by a monomial. finishing that assignment for homework. Then we started Chapter 8 with factoring out a GCF. (We think of it as un-distributing)
Assignment: finish pg. 372: 15-27 odd, pg. 389-390:4-16 even, 22-48 even.
There will be a quiz Thursday 4-22 on section 7.3: multiplying 1 term by 2 or 3 terms, multiplying 2 terms by 2 terms (FOIL), multiplying 2 terms by 3 terms, and using these skills to find expressions for the area of a polygon.
4-20 Spent some time reviewing exponent skills from section 7.4, which are pretty rusty after the break. Try again on the Practice 8.3 worksheet if you had trouble, we all need the practice.
Briefly went over multiplying and dividing while in scientific notation, seemed to go well, some practice on that tonight.
You should have notes on doing division of multiple terms (called a polynomial) by 1 term (called a monomial) so that you can practice on pg. 372-3. If your notes aren't helping, try following example 1 and 2 on pg. 370. The first set of problems are review for the quiz on Wednesday, and should feel easy compared to the multiplying we did in class today.
Assignment: review for the quiz: pg. 356-358:7,27,33,41,73,93,97,113; scientific notation: pg. 368:110-116 even; dividing a polynomial by a monomial: pg. 372-373: 2-26 even.
4-9 Going over negative exponent rules from section 7.4 and on to using those negative exponents for scientific notation.
There will be a quiz on section 7.3 on Thursday 4-22: multiplying 1 term by 2 or 3 terms, multiplying 2 terms by 2 terms (FOIL), multiplying 2 terms by 3 terms, and using these skills to find expressions for the area of a polygon.
Assignment from 4-9 due 4-20: Worksheet 8.3 1-33 odd, other side 8.4 1-18, and pg. 367: 60-78 even.
4-7 Using multiplication of binomials in geometry applications and simplifying division problems with exponential expressions. Sometimes the exponent in the denominator is larger than the numerator and this can be expressed as a negative exponent. We also need to be able to rewrite negative exponents as rational (fraction) expressions so all the exponents are positive.
Assignment from 4-7 due 4-9: pg. 358:110-116 even, pg. 366: 2-8, 12-58 even.
4-5 Mostly reviewing for the quiz since there was no school on the 31st. still went through enough of special binomials to practice them.
Assignment from 4-5 due 4-7: pg. 357: 78-108 even.
No school:(3-31 Quiz today on 7.1 and 7.2. Then on to multiplying special binomials: the sum and difference of 2 terms and squaring a binomial.
Assignment: pg. 357: 78 to 108 even.)
3-29 (for the record) Quiz next class on 7.1 and 7.2: combining polynomials and simplifying exponential expressions.
We've multiplied 1 term by a parentheses with several terms inside and corrctly applied the distributive property. Now we need to multiply 2 parentheses with 2 or more terms in each one. The distributive needs to be used so that each term in 1 parentheses multiplies each term in the other parentheses once. When we do that with 2 binomials, we call it the FOIL method.
Assignment: pg. 356-357: 32-46 even handed in, 50-74 even.
3-25 (for the record) Simplifying exponential expressions and powers, even with the distributive.
Assignment: pg. 350:32-74 even, pg. 356: 2-24 even.
3-23 Test today on Chap. 6
Assignment: read pg. 347. Do pg. 349-350: #8-30 even.
3-19 (for the record) reviewing solving systems and going ahead with combining poynomials from chapter 7
Assignment: If you didn't finish in class, complete both sides of the worksheet adding and subtracting polynomials.
3-17 Quiz today on 6.3 finishes the chapter for us. The test on 6.1-3; solving systems, will be Tuesday. In the meantime, we started examining the degree and terms of polynomials which we will be working with in chapter 7. If you need help, or if you have missed a quiz, please take care of it by Friday.
3-15 We looked at how graphing, substitution, and addition give us the same solution to a system. But each of these is a multi-step problem. Please use your notes of the examples we did. Your book also has clearly worked examples in sections 6.2 and 6.3. Our quiz next class is on the addition method. If you had trouble with the farmer worksheet, please get some help.
Assignment: Chapter 6 test form C worksheet front and back. ALERT!!! The first #10 on the back has fractions for the solution. You only need to find the first variable, you don't need to back-substitute to find the other variable.
3-11 It turns out that the addition method has a few more steps if neither of the variables drops out easily. If we want the coefficients of x or y to be opposites of each other, it might inolve finding a least common multiple, and multiplying BOTH equations so that one is the positive of the LCM and the other is the negative.
The most common example is 6 being the LCM of 2 and 3. So if you have 2x in one equation, you multiply that one by 3. If you have 3x in the other equation, you multiply that one by 2. But you also have to make 1 of them negative in order to cancel, so you're actually going to multiply by negative 2 instead of 2.
Don't forget to multiply each term on both sides. Then you're finally ready to add the equations together and solve for the variable that didn't drop out.
Assignment: The joke worksheet on addition. You will have to multiply one or both equations before you can add.
3-9 What if the coefficients aren't quiiiiite opposites of each other? That's ok, multiply both sides of one of the equations to make it the opposite you want. Use your notes or the example in the book at the top of page 315.
Quiz Wednesday on section 6.2 solving by substitution. You need 3 things: be able to solve one of the equations in the system for one of the variables, x or y. be able to solve the system by substituting the expresssion you found for the variable in the other equation. and know what it means when your variables drop out and you get a statement such as 3=-7 or 3=3.
Assignment: on the 6.3 worksheet: 3, 11-15. In the book: pg. 312-313: 14,16,18,44, and pg. 318: 6-12 even. AND study for the quiz. Help is available today and Thursday after school.
3-3 solving systems is easier if one of the equations is already solved for 1 of the variables, but if not, we can still handle it. Examples of solving dependent systems and inconsistent systems, and how to tell which you have are on page 311.
Assignment: pg. 312-313: 20, 22, 26, 32-42 even.
2-25 Just a couple of examples of solving a system by substitution so that we can do some simple ones. Then a quiz on 6.1 that seemed to go pretty quickly.
Assignment: pg. 312 #1-12.
2-23 Graphing of a system whether the each equation is slope-intercept or standard form. The quiz on Thursday on section 6.1 will include checking solutions by substitution, identifying a solution from a graph, knowing the 3 types of systems by their graphs, and solving a system by graphing.
Assignment: Finish the graphing worksheets and study for the quiz.
2-12 Test on chapter 5 today. Quiz on graphing to find a solution to a system on Thurs. 2-25.
Assignment: homework from 2-8 if not completed: pg. 305-307: 4-16 even, 25, 26, 32, Homework from today: read pg. 303-304, pg. 306: 18-24, 24-44 even, CORRECTION: 34-44 even. Both assignments will be checked Tues. 2-23.
2-4 Time to review for the quiz caused some to run out of time on the quiz, they can have a few minutes in class on Monday. The test is Wednesday, so come for after school help if you need to.
Assignment: Finish the chapter test C front and back.
2-2 The quiz next classon 5.4 is on writing the equation of a line from given information, whether it's the slope and intercept, a graph, or just 2 points. The test on Chapter 5 will be Wednesday.
Assignment: finish the review worksheet on 5.4, front and back.
1-29 We reviewed for our quiz next class on slope: finding m in the equation, counting off of a graph, using the formula for 2 points, and using the formula for slope as a rate of change of 2 units. We also learned how to use the graph of a line to show an inequality instead of an equation.
Assignment: pg. 281-82: #2-14 check the section if you need to review how to graph inequalities, pg. 258: 3-11 odd, the directions say to find the slope, you also need to find b and write the equation of the line.
1-27 Assignment: pg. 273-275:2-4, 10-34 even, 36-46 even, remember to graph by plotting the y-intercept and counting the slope right on the graph.
1/25 Learning to write linear equations from 2 clues: slope and intercept, slope and point, or 2 points.
Assignment: Finish pg. 264 #1-14 if you haven't already. Writing equations worksheet both sides.
1-7 As I told you, we are having our last quiz on Monday on Section 5.1-5.3, which would include slope. In order to make the quiz shorter and have more time for midterm review, the quiz will only cover 5.1 and 5.2.:
1)Substituting values for x and y into an equation to see if they are solutions
2)plotting points on the coordinate plane (x,y)
3)graphing linear equations by making a table of 3 values
4)rewriting linear equations from standard to slope-intercept form by solving for y.
If that last one was hard for you, please review the examples in section 5.2 on pg. 241 and 242.
Assignment: Study, study, study! Most of you got more than 1/2 of the review packet done in class, that was our last homework grade. Some of you are finishing the grahing packet because you had trouble solving for y. All late homework for credit, and make-up quizzes and tests were to be completed by Friday, a few of you have already come after school and made arrangements for additional time on Monday.
Belated:1-5 Notes today on slope of a linear equation: counting off of a graph, and using 2 points in the formula.
Assignment: pg. 257-259: 2-16 even, 28-34 even. It's printed at the bottom of the 3rd page of the notes. Complete the graphing packet for Thursday.
Belated: 12-23: from 5.2: graphing a linear equation by making a table of values and plotting the points. Graphing a linear equation in standard form by first solving for y to rewrite it in slope-intercept form.
Assignment: pg. 246: 24-38 even, pg. 248: 58, 60, 66-76 even isn't due until the 2nd class after vacation. All of those are listed on the packet with graphs you received.
12-21 As I mentioned in class, I was concerned that not knowing the impact your missed homework would have on your grade might cause you to ignore the problem for longer than you should. Because of my delay this quarter, I will accept late homework up to Jan. 8th on assignments up to Dec. 16th. You should be able to get all the information you need from the portal.
Today, review of skills on graphing coordinates and evaluating linear equations.
Some students need to finish their Chap. 3 test. We have been solving equations all this time, but you could also study inequalities and lever problems.
Assignment: pg. 232-236: 12, 14 (find the vocabulary words in the section), and 25 and 28 for which you need to show work. Pg. 246: 6-22 even.
Test on Chap. 4 (4.1,4.2,4.2,4.5,4.7) On Thursday
12-11 We reviewed how to do the problems on investments and distance, and had another try at the quiz.
Assignment: Now that we've been over the tables and equations again, complete pg. 185-187 #1-8, 13-16, and pg. 200-201: #1-8, 12.
12-7 Quiz next class on 4.1 and 4.2, so we reviewed the 6 types of problems to be quizzed. Help available for questions on the 4.5 and 4.7 homework.
Assignment: pg. 215: #1-4, 17, 22, 25-28, 32, and completing the 4.5 and 4.7 assignment if not already done.
12-3 Great job today finishing 4.3, and also practicing the types of problems in 4.5 and 4.7. Some students had trouble filling in the charts on the 4.2 homework, and I told them they could still hand those in for credit next class. This is a little new, breaking a problem into manageable parts and then building them into an equation by using a table, but it helps with many problems, and we are getting lots of practice with it. We have skipped 4.4, 4.6, and will skip 4.8.
Assignment: Pg. 173-175:40, 50,56,58. Pg. 185-187: 2-16 even. Pg. 200-201: #2-8 even. If you didn't take notes on your worksheet in class, you will need to look at the examples in the book.
12-1 While I was out students did a great job working on reviewing some geometry facts. We'll use those facts and formulas to set up equations from problems.
Assignment: Pg. 170-172 #2-30 even.
11-24 Moving on to section 4.2 with consecutive integer problems, and coin and stamp problems. Please be aware for the coin and stamp problems that using a table is considered part of the solution. I gave you blank tables on the worksheet for the homework, as you practice filling them in, try to remember so you'll be able to do your own to solve this type of problem.
Assignment: pg. 158-161 #4-16 even, and #22-36 even on the worksheet. Not due until Thurs. 12-3--Happy turkey day
11-20 review of translating verbal expressions into algebraic expressions, now algebraic equations that we can solve. And finishing the test.
Assignment: pg. 151-154: 13-21 odd, 25, 26, 30, 33, 34, 38-40
11-18 The test was interrupted by a fire drill, so we will continue next class.
Assignment: pg. 151: 1-9 odd, 10-20 even
11-16 Test Wednesday on Chap. 3
Assignment: Practice test #1-20 (both sides) and in the book pg. 140-141 #5, 7-9, 13, 14, 38-40
11-12 We're finisihing up the chapter with 2-step inequalities, so, test next Wednesday on Chap. 3
Assignment: Pg. 134 #98-126 even. Show solving steps but you don't need to graph the solution set.
Look below for the link to the website with equation practice.
11-9 Quiz next class on 2-step equations and formula problems, including levers. We reviewed one-step inequalities and graphing the solutions. Remember: solve like an equation, but don't change to an equation, except--if you multiply or divide by a negative number, you must switch the inequality sign.
Assignment: Inequalities worksheet both sides: #9-16 and 1-16
11-5 Thorough review of 2-step equations, including like terms on one side, variables on both sides, and use of the distributive. You should be able to substitute values in the word problems and solve for the remaining variable.
Assignment: Pg. 119-121: 9-21 odd, 68-78 even, 84-100 even, 134-140 even
11-3 Quiz today, then some independent work on 2 step equations. Being able to correctly manipulate both sides of an equation is crucial to our future progress, so if you have trouble with tonight's homework, please come and get some help to firm up those skills.
Assignment: pg. 119-120: #14-60 even, remember to show both your solving steps on both sides, and #102-112 even, to practice with variables on both sides.
10-30: There will be a quiz on 3.1 on Tuesday. We went over all problems and what is meant by "show work for full credit." The review assignment was begun and collected in class, if you didn't finish it, you should be doing it to study for the quiz. But the distance problems in the book were much harder than the ones on the worksheet. To practice for the quiz, I recommend making up some of your own.
Assignment: Pg. 102-107 11,13,15,17,21,53,55,63,65,95,97,117,119,149, 151,153
10-28: We did distance problems that were a little more complex, interest problems, and touched on 2-step equations.
Assignment: Calculating simple interest worksheet #1-10. Pg. 106 #150-160 even. Pg.105 #137-139(remember to use fractions of an hour, not minutes) and pg. 119 #2-12 try to remember how to do these.
10-26: So, now that we remember how to solve equations, what kinds of problems can we solve with them? Distance, rate and time problems, percent problems, and interest rate problems.
Assignment: The Distance rate and time side of the worksheet #1-10 (workbook activity 41) Instead of the 3 different formulas at the top of the worksheet, please use the same formula each time, and practice solving the equation. And the whole worksheet on percents #9-28--your work needs to show the percent proportion.
10-22: The second skill we will use in Chap. 3 is how to solve a 1-step equation, which is review from Algebra 1. The one step is to add, subtract, or multiply both sides of the equation by the same number to isolate the variable on one side. Instead of sometimes multiplying and sometimes dividing, we are trying to always multiply by the reciprocal to clear a coefficient.
When you solve an equation, no matter how easy it is, your work must show the original equation, and each operation to both sides, and the solution. Credit will not be given without showing this work.
Assignment: Pg. 102-104: #1, 32-56 even, 64-70 even, 76, 78, 84-90 even, 96, 104-116 even, 124, 126
10-20: We took a test today on Chap.2. To begin Chapter 3, we'll use our evaluation skills to substitute for x in an equation instead of an expression. If that results in a true mathematical statement such as 5=5, then the value of x that we substituted is a solution of the equation. You must show the substitution on each problem, and the resulting true or false statement.
Assignment: pg. 102-103: #4-22 even.
10-16:Well the results on the practice test don't bode well for the real test, so we went over every problem carefully. Students are doing more practice for homework, and the results should be much better. In addition to the assignment, students can get more practice by doing problems from the review that weren't assigned on 10-14, please check your answers in the back. It would help you to know right away if you're getting incorrect answers.
Assignment: Chapter test on pg. 85-86: #1-24. Again, you must write the problem, show work, and check your answer in the back.
10-14 I was away at a conference, and students worked on a practice test for chapter 2, the real test is on Tues. the 20th. Students have a sheet detailing what's on the test and some problems from the chapter review for additional practice.
Assignment: You must write out the problem, and show a step towards your answer if at all possible in order to get credit. Pg. 83-85: #1-10, 17-26, 28, 32-37, 41-49. Please check your answers in the back. The answers to all review problems are in the back, that's part of the reason you don't get credit just for the answer.
10-8 We took a quiz on section 2.1 and 2.2 today. And, we're finishing up chapter 2 with more translating of verbal expressions into variable expressions, but these have some like terms that can also be combined. We are also practicing writing 2 unknown quantities in terms of the same variable, which will really help with all our word problems in the next chapter.
Assignment: Front and back of the worksheet with the bad copy of the foot bones and the planet on the back. All the problems are in the book if you lose your copy. Pg. 75-76: #56-72 even, #95-103, and for challenge:106,107.
10-6 Quiz on Thursday on sections 2.1 and 2.2, so more practice today on properties, simplifying like terms, and substituting for the variable to get a number, which we call evaluating. Remember that there's a link below to play a matching game with properties.
Assignment: pg. 67 #132-137, simplify and substitute 2 for the variable; #138-141 simplify and use (-1) for the variable; #144-149 simplify and use 5 for the variable.
10-2 We're translating english into algebraic expressions so that we can do real world problems. Remember that quotient means divide, and "the quantity" means you need to put it in parentheses.
Assignment: The "head on collision" side of the properties worksheet for more practice on simplifying and evaluating.
Both sides of the worksheet we started in class, and pg. 73 #2-20 in the book.
9-30 I apologize for the delay. Here is the assignment if you didn't write it in class. I hope that if you needed it you would have e-mailed me?
In class we started: pg. 66-67: #23-24, #26-34 even, #42, #52-56 even, #70-80 even, #98-104 even.
In addition to finishing those: pg. 66-67: 36-40 even, 44-50 even, 58-68 even, 82-96 even, 106-118 even. (All broken up like that, it looks like more than it is!)
9-25 Today we reviewed all the properties of real numbers and practiced with an online matching game. The link is below so you can practice yourself.
Assignment: finish the "tow truck" side of the worksheet, pg. 65-66: 1-20.
9-23We begin chapter with some new vocabulary about variable expressions. Then we practiced substituting values for the variables in expressions to evaluate them(get a number for an answer.) This gives us more practice with order of operations as well.
Homework: Pg. 56-57: #13-61 just the middle column, #66, 70, 72, 76
9-21 The test went very quickly, I think it also went well. We began chapter 2 with some vocabulary that will help us work with algebraic expressions.
Assignment: read pg. 52-53 and write down definitions of the 8 bold words or phrases. On pg. 55, do concept review questions 1-6 and exercises 1-9.
9-17 assignment: Finish Test form C review worksheet #1-25, calculator allowed only on #16,18 and 20. Pg. 44-47: 1-4, 8-28, 30-38, 40, 42-53, 59, 62, 71. Calculator allowed on 2,14,20,33,34,42,43,52.
9-15 Today we reviewed order of operations, and that finished our first unit, Chapter 1. And we had a quiz on the second half of the chapter, excluding order of operations.
Next class we will practice for the test, which will be Monday the 21st.
Homework: (no calculator on these, it already knows order of operations and doesn't need any practice.)Practice 1-2 worksheet: #7-20 and 23-26. In the book on pg. 37-38: #30-41, 47-49, 54, and 58
9-11 assignment without calculator: pg. 31:135-150 by 3's, 161-166. pg. 37: 4-10 even, 13,14,17,19,20,25,26.
9-09: Today we reviewed operations on rational numbers in the form of decimals. We also rewrote fractions as equivalent decimals and percents and back again.
Homework: pg. 29-30: #62, 64, 68,70 and 84-96 even are calculator allowed. #105,108,111,114 and 126-139 by 3's are no calculator. #145 and 149 are calculator allowed.
9-4-09 We have already reviewed the number line, operations on Integers, and adding fractions. Still without a calculator, we are reviewing operations on fractions and decimals.
The homework is on page 28-29: #4-12 even, #16-22 even, #54-60 even, and #66. #84-90 was on the board in error, as we didn't get to multiply decimals before starting the quiz.
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