June 17
Period 5 - Final exam today.
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June 16 (Half day)
Period 4 - Final exam today.
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June 15
Period 5 - Last chance to work on your final review packet and ask any questions in class and/ or after school today in preparation for the final exam.
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June 13 & June 14
Students had the opportunity to work on the final review packet and ask any questions in class and/ or after school in preparation for the final exam.
FYI - The final review packet is due on the day of your final exam (or earlier if you exempt the final and want to take advantage of the bonus points).
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June 9 & June 10
Students had the opportunity to work on the SQUIRT investigation and bonus problems to be added to the unit test on rational functions and ask any questions in class and/ or after school.
No Hw assigned, but work on the SQUIRT investigation and bonus for the test on rationals, both due no later than tomorrow at 2:45 PM.
FYI - Final exam review packets were handed out this week, due on the day of your final exam, to be counted as bonus points.
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June 8
Class Poll on SQUIRT Investigation - please respond no later than Thursday, 6/9/16.
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June 7
Period 4 - We went over various homework questions on working with radicals and nth roots, then solved some radical equations algebraically, including the domain for each problem. Some of the students also started working on our radical graphing lab SQUIRT - due no later than 2 PM on Friday, 6/10/16.
No Hw due tomorrow, but continue working on the SQUIRT lab and pp. 456 - 457: #3- 43 odd that replaces page 6-6 in the lab, as discussed in class.
FYI - IMPORTANT NOTES:
Period 5 - Students that needed to continue/ finish the open- response problems on the unit test on rational functions had the opportunity to do so in class, while others started working on our radical graphing lab SQUIRT - due no later than Friday, 6/10/16.
No Hw due tomorrow, but continue working on the SQUIRT lab and pp. 456 - 457: #3- 43 odd that replaces page 6-6 in the lab, as discussed in class.
FYI - IMPORTANT NOTES:
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June 6
Period 4
Period 5
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June 3
Period 4 - Enter your answers to the multiple- choice questions #1-23 here.
No Hw due 6/6.
Period 5 - We went over various problems involving radicals and nth roots - see the link to radicals below (you also have this link in the email that I sent you today):
Link to Radicals - pick few examples of each type and complete them in your notebook.
Hw due 6/6 - Finish the class work from Friday.
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June 2
P4 - Unit Test on Rational Functions: Open - Response Questions today.
No Hw assigned, but STUDY some more for the unit test on rational functions (to be continued tomorrow).
NOTE: Please bring the recent class work/ homework assignments to be collected tomorrow (packet 8.4- 8.5: Part 2, selected textbook problems on pp. 577-578 and pp. 586-587 and your selected problems from the 3 links posted on the homework website that we did for more practice/ review).
P5 - Unit Testt on Rational Functions: Open- Response Questions today.
No Hw due 6/3.
NOTE: If you did not turn in the most recent class work & homework assignments, please do so no later than tomorrow.
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June 1
P4 - Did not meet today (Science MCAS).
Hw due 6/3 - Finish any remaining practice/ review problems and STUDY for the unit test on rational functions on Thursday and Friday.
P5 - Unit Test on Rational Functions: Enter your answers to the multiple- choice questions here
FYI - We will complete the open- response part of the test (individual and small group problems) tomorrow. Be ready!
No Hw due 6/2, but finish any recent work if you did not do it yet and turn it in tomorrow.
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May 31
We went over various homework questions and completed more practice/ review problems solving rational inequalities in a given context.
Hw due 6/1 for P5 and 6/2 for P4 - Finish any remaining practice/ review problems and STUDY for the unit test on rational functions tomorrow for P5 and Friday for P4.
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May 27
Period 4 - We went over some more homework questions from the previous homework assignment, and did some "detective work" identifying and correcting errors and grading some given solutions.
Hw due 5/31 - Pick a few review/ practice problems to try from each of the learning targets listed under the links provided with the agenda from May 26 (scroll down to that day).
FYI - Unit test on rational functions postponed for Thursday or Friday. Please STUDY!
Period 5 - We went over various homework questions, including some examples of solving rational inequalities graphically.
No new Hw assigned, but continue/ finish the practice/ review problems listed under the agenda for May 26 if you did not do them yet (scroll down to that day). NOTE: You may want to go over the notes from today when preparing for our unit test on rational functions on Tuesday or Wednesday.
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May 26
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May 25
Period 4 - More practice problems multiplying, dividing, simplifying rational expressions and simplifying complex fractions (focus on using the "Granddaddy LCD" strategy for simplifying complex fractions).
Hw due 5/26 - Finish the class work (textbook problems pp. 577-578: #3-22 all & #25 - 43 odd and pp. 586-587: #27- 40 all). NOTES:
FYI - Projected date for our unit test on rational functions on Tuesday, 5/31. Be ready!
Period 5 - Did not meet today (X-block).
Hw due 5/26 - Finish the class work (textbook problems pp. 577-578: #3-22 all & #25 - 43 odd and pp. 586-587: #27- 40 all). NOTES:
FYI - Projected date for our unit test on rational functions on Tuesday, 5/31. Be ready!
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May 24
Period 4 - Multiplying, dividing, simplifying rational expressions and simplifying complex fractions (focus on using the "Granddaddy LCD" strategy for simplifying complex fractions). Students also had the opportunity to continue/ finish assessment on rational functions from yesterday.
Hw due 5/25 - Continue the remaining examples in the packet 8.4- 8.5 part 2 handed out today. Bring any questions to class tomorrow.
Period 5 - More practice problems multiplying, dividing, simplifying rational expressions and simplifying complex fractions (focus on using the "Granddaddy LCD" strategy for simplifying complex fractions).
Hw due 5/26 - Finish the class work (textbook problems pp. 577-578: #3-22 all & #25 - 43 odd and pp. 586-587: #27- 40 all). NOTES:
FYI - Projected date for our unit test on rational functions on Tuesday, 5/31. Be ready!
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May 23
Period 4 - Assessment on rational functions learned so far today.
No Hw due 5/24.
Period 5 - Multiplying, dividing, simplifying rational expressions and simplifying complex fractions (focus on using the "Granddaddy LCD" strategy for simplifying complex fractions).
Hw due 5/24 - Finish the class work (any remaining examples in the packet 8.4- 8.5 part 2 handed out today).
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May 20
Period 4
Period 5 - Did not meet today (early release day)
No Hw due 5/23.
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May 19
Period 4 - Review graphing rational functions and adding/ subtracting rational expressions with unlike denominators learned so far.
Hw due 5/20 - Continue working on the review problems handed out today.
FYI - Assessment on rational functions learned so far postponed for Monday. Be ready!
Period 5 - Assessment on graphing rational functions learned so far today.
No Hw due 5/23.
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May 17 and May 18
Period 5 - Review graphing rational functions and adding/ subtracting rational expressions with unlike denominators learned so far.
Hw due 5/19 - Finish the review problems handed out on Tuesday.
FYI - Assessment on rational functions learned so far on Thursday. Be ready!
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May 16
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May 13
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May 12
Period 4
Period 5
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May 11
Period 4
Period 5
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May 10
Period 4
Period 5
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May 9
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May 6
Period 4 - We went over various questions on finding the LCD of given rational expressions, then added rational expressions with the same denominator (to be continued next time).
Hw due 5/9 - Finish any remaining examples on pp. 1-6 in the packet 8.5 handed out this week.
Period 5 - We went over went over various questions on finding the LCD of given rational expressions, then added rational expressions with the same denominator or unlike denominators.
Hw due 5/9 - Finish any remaining examples on pp. 1-7 in the packet 8.5 handed out this week and the selected addition problems on p. 586: #16, 19, 21, 23, 25.
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May 5
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May 4
Period 4:
Period 5 - Did not meet today (X-block).
NOTE: There is no new Hw assigned tonight, but try some more MCAS prep questions at myMCAS.com AND join the Honors Algebra 2 class at Quizlet.com for vocab definitions and POAs used in the next unit on Rational Functions that we start tomorrow!
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May 3
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May 2
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April 29
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April 28
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April 27
Period 4 - Assessment on solving exponential and logarithmic equations algebraically.
Optional Hw (for now, to be completed by Friday after discussing more examples in class tomorrow) - Try to solve any or all of the challenging equations #48- 53 on p. 520.
Period 5 - Did not meet today (X-block).
Optional Hw (for now, to be completed by Friday after discussing more examples in class tomorrow) - Try to solve any or all of the challenging equations #48- 53 on p. 520.
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April 26
Period 4
Period 5 - Assessment on solving exponential and logarithmic equations algebraically.
Optional Hw (for now, to be completed by Friday after discussing more examples in class on Thursday) - Try to solve any or all of the challenging equations #48- 53 on p. 520.
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April 25
Period 4
Period 5
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April 15
Period 4 - Students had the opportunity to ask various questions from the previous homework assignments today. After that, we discussed 3 strategies for solving a type II exponential equation (with different base on each side of the equation).
Hw due 4/25 - Continue/ finish any remaining equations on pp. 1-6 in the packet 7.6 on solving exponential and logarithmic equations. In addition, sophomores should try some of the MCAS prep questions posted online at myMCAS.com in preparation for the MCAS test next month (May 17-18).
FYI - Assessment on solving exponential and logarithmic equations on Wednesday after the break. Be ready!
NOTE: If you did not turn in your work on graphing logarithms and your work on solving exponential and logarithmic equations done so far, please finish it over the break and bring it in no later than Monday, 4/25/16.
Period 5 - Students had the opportunity to ask various questions from the previous homework assignments today, then worked on more practice/ review problems on solving exponential and logarithmic equations.
Hw due 4/25 - Continue/ finish any remaining equations on pp. 519- 520: #3-11 (type I exponential equations); #12-23 (type II exponential equations); #24- 31 (type III logarithmic equations); #32- 43 (type IV logarithmic equations) if you did not turn them in yet. In addition, sophomores should try some of the MCAS prep questions posted online at myMCAS.com in preparation for the MCAS test next month (May 17- 18).
FYI - Assessment on solving exponential and logarithmic equations on Tuesday after the break. Be ready! NOTE: If you did not turn in your work on graphing logarithms and your work on solving exponential and logarithmic equations done so far, please finish it over the break and bring it in no later than Monday, 4/25/16.
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April 14
Period 4 - More practice examples on solving type I exponential equations and type IV logarithmic equations algebraically, using the domain to check for extraneous solutions.
Here is today's assignment, to be finished as homework due 4/15:
FYI - The work on graphing logs completed last week and the work on solving from this week will be both collected for recording on Friday. Be ready!
Period 5 - Did not meet today (early release day).
Hw due 4/15 - Check the assignment from Wednesday.
FYI - The work on graphing logs completed last week and the work on solving from this week will be both collected for recording on Friday. Be ready!
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April 13
Period 4 - We went over the strategies for solving type I exponential equations and type IV logarithmic equations, using the domain that we found algebraically to check for extraneous solutions.
Hw due 4/14 - Complete any remaining examples on p. 4 on the packet 7.6 on solving exponential and logarithmic equations handed out this week.
FYI - The work on graphing logs completed last week and the work on solving from this week will be both collected for recording on Friday. Be ready!
Period 5 - We summarized the strategies for solving exponential and logarithmic equations algebraically, then worked on solving some more challenging equations (condensing may be needed first!).
Hw due 4/15 - Finish the examples in the new handout from today.
FYI - The work on graphing logs completed last week and the work on solving from this week will be both collected for recording on Friday. Be ready!
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April 12
Period 4 - Students had the opportunity to continue/ finish their small group portion of the assessment on graphing logarithmic functions and inverses today, then solved some exponential and logarithmic equations.
Hw due 4/13 - Complete the examples and checkpoints on p. 1 and p. 3 in the packet 7.6 on solving exponential and logarithmic equations handed out today.
Period 5 - Continue solving exponential and logarithmic equations (type III, IV and II today).
Hw due 4/13 - Continue/ finish any remaining examples on pp. 1-6 in the packet on solving exponential and logarithmic equations.
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April 11
Period 4 - Assessment on graphing logarithmic functions and inverses today.
No Hw due 4/12.
Period 5 - Solving exponential and logarithmic equations algebraically (type I, III, IV today).
Hw due 4/12 - Finish the class work (any remaining examples on pp. 1-3 in the packet on solving exponential and logarithmic equations handed out today) .
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April 8
Period 4 - More practice on graphing logarithmic functions using transformations.
OPTIONAL Hw due 4/11 (no bonus points given, complete for extra practice only) - Pick any examples of logarithmic functions on p. 504 or create your own logarithmic functions to graph and discuss on a graphing template.
FYI - Assessment on graphing logarithmic functions on Monday. This is the first assessment in Q4. Be ready!
NOTE: Any work on graphing logs should be turned in on the day of your assessment, to be counted as the first assignments in Q4!
Period 5 - Assessment on graphing logarithmic functions and inverses today.
No Hw due 4/11, but bring all your work on graphing logs to turn it in on Monday since I did not want to interrupt your individual or group assessment today to collect your work.
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April 7
More practice on graphing logarithmic functions using transformations and looking at the characteristics of the logarithmic function and its inverse exponential function.
Hw due 4/8 for P4 - Use a graphing template to graph and discuss example #10 on p. 6 in the math lab packet on graphing logs.
OPTIONAL Hw due 4/8 for P5 (no bonus points given, complete for extra practice only) - Pick any examples of logarithmic functions on p. 504 or create your own logarithmic function to graph and discuss on a graphing template.
FYI - Assessment on graphing logarithmic functions tomorrow for P5 students and on Monday for P4 students. This is the first assessment in Q4. Be ready!
NOTE: Any work on graphing logs should be turned in on the day of your assessment, to be counted as the first assignments in Q4!
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April 6
Period 4 - Graph a logarithmic function and its inverse (exponential) function using transformations. NOTE: Find the inverse first, graph the exponential function, then reflect it over the line of symmetry y = x. Hw due 4/7 - Use the graphing templates provided to graph/ discuss p. 504: #52 as listed in the book and #53: modify the base to be 1/5 instead of the 5 listed in the book (your curves are going to be decreasing logs for all of them). NOTE: Use step- by- step transformations for both problems!
Period 5 - Did not meet today (X-block).
Hw due 4/7 - Use the graphing templates provided to graph/ discuss p. 504: #52 as listed in the book and #53: modify the base to be 1/5 instead of the 5 listed in the book (your curves are going to be decreasing logs for all of them).
NOTE: Use step- by- step transformations for both problems!
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April 5
Period 4 - Continue graphing logarithmic functions.
No Hw due 4/6.
Period 5 - Continue graphing logarithmic functions using transformations from the parent function (to be continued on Thursday).
Hw due 4/7 - Use the graphing templates provided to graph/ discuss p. 504: #52 as listed in the book and #53: modify the base to be 1/5 instead of the 5 listed in the book (your curves are going to be decreasing logs for all of them). NOTE: Use step- by- step transformations for both problems!
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April 4
Period 4
Period 5
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April 1
Graphing logarithmic functions.
Hw due 4/4 for P4 - Graph #4 on p. 1 and the first 4 logarithmic functions in example #7 on p. 2 of the math lab on graphing logarithmic functions handed out today. NOTE: Check your Alg 2 folder in the Google Drive for the classroom notes that I saved today.
Hw due 4/4 for P5 - Graph the circled problems in the packet on graphing logarithmic functions handed out this week: p. 3 - #1-6; p. 4: #8; p. 5: #6; p. 6: #7-9. NOTE: Check your Alg 2 folder in the Google Drive for the classroom notes that I saved for the first days on graphing logarithmic functions.
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March 31
Period 4 - Assessment on working with logarithms (learning targets learned so far) today.
No Hw due 4/1.
Period 5 - Graphing logarithmic functions using transformations from the parent function.
Hw due 4/1 - Continue/ finish the graphs of the logarithmic functions listed under the example #7 in the graphing lab/ packet handed out today.
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March 30
Period 4
Period 5
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March 29
Continue finding inverses graphically (reversing the transformations from the parent function of the original function, then confirming the answer using symmetry across the line y = x) and algebraically (using the algorithm for finding an inverse by hand, following reverse PEMDAS).
Hw due 3/30 - Continue/ finish any remaining work in the practice packet (see list below) and p. 504: #28- 44 all. NOTE: P4 students should still skip #31- 34 on the last page of the practice packet until tomorrow (Wednesday).
FYI - Assessment on working with logarithms (learning targets discussed so far) on Wednesday for P5 and Thursday for P4.
Reminder: If you took the unit test on exponentials home to make corrections, please bring it back no later than Wednesday, 3/30/16 whether or not you completed them. If you need help with the corrections, you may stay after school on one of the following day(s): Wednesday, 3/30; Thursday 3/31; Wednesday, 4/6; Thursday, 4/7; X-block on 4/6. Please ask me to sign-up for a certain day, so not everyone shows up in the same time. It is OK to sign up for more than 1 day if you need to and if there is enough room to do so.
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March 28
We discussed more examples on finding inverses of given logarithmic functions graphically (using transformations from the parent function) and algebraically (using the algorithm for finding inverses).
Hw due 3/30 for P4 - Continue the assigned work in the practice packet (see the list below):
Hw due 3/30 for P5 - Continue the assigned work in the practice packet (see the list below) and ADD problems listed in red (see below) assigned today:
FYI - Projected date for our assessment on working with logarithms (learning targets discussed so far) - Wednesday for P5 and Thursday for P4.
Reminder: If you took the unit test on exponentials home to make corrections, please bring it back no later than Wednesday, 3/30/16 whether or not you completed them. If you need help with the corrections, you may stay after school on one of the following day(s): Wednesday, 3/30; Thursday 3/31; Wednesday, 4/6; Thursday, 4/7; X-block on 4/6. Please ask me to sign-up for a certain day, so not everyone shows up in the same time. It is OK to sign up for more than 1 day if you need to and there is room to do so.
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March 24
Finding inverses of exponential or logarithmic functions graphically (using transformations from the parent function).
Hw due 3/28 - Continue the practice/ review problems in the practice/ review packet handed out this week:
FYI - Possible assessment on logarithms learned so far on Tuesday. Be ready!
Reminder: If you took the unit test on exponentials to make corrections, please bring it back no later than Wednesday, 3/30/16 whether or not you completed them. If you need help with the corrections, you may stay after school on one of the following day(s): Wednesday, 3/30; Thursday 3/31; Wednesday, 4/6; Thursday, 4/7; X-block on 4/6. I will have a sign-up sheet in my room next week so not everyone shows up in the same time.
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March 23
Period 5 - More practice problems on the learning targets that we did so far.
Hw due 3/24 - Continue the class work (check your Alg 2 folder in the Google Drive for the POA for this week that has the list of problems).
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March 22
Period 5 - We went over some of the homework questions, then continued using properties of logarithms to condense logarithmic expressions.
Hw due 3/23 - If you get a chance, continue working on some of the practice problems in the new packet handed out this week. We will work more on those problems in class on Thursday. Tomorrow, we will look at finding inverses and inverse properties as discussed in class.
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March 21
We went over some of the homework questions, then continued using properties of logarithms in approximating logarithmic values.
Hw due 3/22 for P5 - Continue/ finish examples on p. 8 and p. 11 in the packet 7.4- 7.5 part 1.
Hw due 3/24 for P4 - If you get a chance, continue working on some of the practice problems in the new packet handed out today. We will work on those problems in class on Thursday.
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March 18
Period 4
Period 5
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March 17
Period 4
Period 5
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March 16
Period 4 - We went over various homework questions, and discussed about the properties of logarithms.
No Hw due 3/17.
Period 5 - Intro logs: definition, rewriting a given exponential form into its equivalent logarithmic form and a given logarithmic form into its equivalent exponential form, evaluate logarithmic expressions algebraically when the answer is a rational number.
No Hw due 3/17.
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March 15
Period 4 - Intro logs: definition, rewriting a given exponential form into its equivalent logarithmic form and a given logarithmic form into its equivalent exponential form, evaluate logarithmic expressions algebraically when the answer is a rational number.
Hw due 3/16 - Complete examples in the packet up to p. 6 (including p. 6).
Period 5 - Did not meet today.
No Hw due 3/16, but you may want to try some of the MCAS prep questions at myMCAS.com (especially if you are a sophomore taking the MCAS test this spring).
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March 14 - Happy Pi Day!
Period 4
Period 5
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March 11
Small group performance today (to be finished on Monday if needed).
No due 3/14, but sophomores should start looking at some of the MCAS problems at myMCAS.com, in preparation for the MCAS test this May! This is not mandatory at the moment.
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March 10
Period 4 - We went over some of the homework questions from the previous assignments, then discussed an alternate algebraic strategy for modeling with exponentials (solving a system using elimination). NOTE: Please remember that you should choose the strategy that works best for you. The elimination method that I shared with you in class today is the most efficient strategy for solving for the unknowns a and b.
Hw due 3/11 - Finish the modeling with exponentials problems in the worksheet handed out in class today AND complete p. 1 in the LTF packet "Investigating Average Rate of Change"). Reminder/ hint: The average rates of change for a linear function on any given interval should be the same!
FYI - Small group performance assessment tomorrow. Be ready!
Period 5 - We discussed one of the examples on finding the average and instantaneous rates of change of a quadratic function by finding the average rate of change (= the slopes) of secant lines to the given curve on given intervals, then finding the instantaneous rate of change at the midpoint between the two endpoints of the given interval. NOTE: Although we previewed some future differentiation work and Physics applications (we looked at the various velocities on a rollercoaster), the expectation is that at this point you show mastery on finding the average rates of change of a given function on a given interval and compare the values of these slopes for various type of functions that you learned so far and have some idea that you will learn more in-depth applications when/ if you are taking more advanced math courses. You will not be assessed on these kind of applications this year.
Hw due 3/11 - Complete the examples on modeling with exponentials in the worksheet handed out today.
FYI - Small group performance assessment tomorrow. Be ready!
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March 8
March 7
Period 4
Period 5
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March 4
Unit Test Exponential Functions today.
Hw due 3/7 - Complete the worksheet on introducing the interval notation handed out today.
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March 3
Unit Test Exponential Functions today (to be continued tomorrow in class).
No Hw due 3/4.
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March 2
Continue working on the review problems (see complete list under the agenda on March 1). The review problems are due tomorrow, counted as double homework assignment.
FYI - Unit test on working with exponential functions (graphing with complete discussion, solving exponential applications, using properties of exponents to simplify expressions) tomorrow and Friday. This is a two- days test. Be prepared!
REMINDER: If anyone needs extra help on a day when I am not available, please go see any other math teacher. We have the tutoring schedule posted on the math department schedule or click the link below to check:
Math Department Tutoring Schedule
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March 1
Period 4 - More practice/ review for unit test on exponential functions on Thursday & Friday. Here is the list of review problems due 3/3:
Period 5 - More practice/ review for unit test on exponential functions on Thursday & Friday. Here is the list of review problems due 3/3:
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February 29
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February 26
Period 4
Period 5
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February 25
Period 4 - We did a quick check of understanding compounded interest situations, then discussed an exponential function that had a horizontal stretch as an added transformations. We used properties of exponents to simplify the function first, then started graphing the equivalent expression(s) using transformations from the parent function.
Hw due 2/26 - Finish the class work: graph/ discuss f(x) = 2*(1/4)^(x - 1/2) + 4 OR f(x) = (1/4)^(x-1) + 4, which are the equivalent expressions to f(x) = 2*(1/2)^(2x-1)+4.
Period 5 - Students had the opportunity to ask various homework questions, then discussed an exponential function that had a horizontal stretch as an added transformations. We used properties of exponents to simplify the function first, then started graphing the equivalent expression(s) using transformations from the parent function.
Hw due 2/26 - Finish the class work 1. graph/ discuss the following functions (that are equivalent to the functions that we discussed in class today)
2. Finish any remaining applications in the exponential applications packet that we have been working on.
FYI - Possible short quiz (1 or 2 problems) tomorrow. Be ready!
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February 24
Period 4 - We discussed more compounded interest problems today.
Hw due 2/25 - continue/ finish the remaining applications in the exponential applications packet handed out before the break.
FYI - Possible short quiz (1 or 2 problems) tomorrow. Be ready!
Period 5 - Did not meet today.
Hw due 2/25 - Check your Alg 2 folder in the Google Drive for a file called "Deal or No Deal". There are two situations presented in this document that you are supposed to analyze/ solve, then write a short paragraph with your conclusions. In addition, continue working on some of the remaining problems in the exponential applications packet handed out before the break. This packet should be completed by Friday.
FYI - There may be a short quiz (1 or 2 problems) on solving exponential applications on Friday. Be ready!
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February 23
Small group work: Students solved an exponential application numerically or graphically, then supported their reasoning & defended their answers in a short presentation in front of their classmates.
Hw due 2/24 for P4 (2/25 for P5) - Check your Alg 2 folder in the Google Drive for a file called "Deal or No Deal". There are two situations presented in this document that you are supposed to analyze/ solve, then write a short paragraph with your conclusions. In addition, continue working on some of the remaining problems in the exponential applications packet handed out before the break. This packet should be completed by Thursday for P4 (Friday for P5).
FYI - There may be a short quiz on solving exponential applications this week. Be ready!
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February 22
Period 4 - Students had the opportunity to take a look at their last assessment on graphing exponential decay functions and solving exponential growth and exponential decay applications, then we discussed the vocab used in a typical compounded interest problem and solved a compounded interest application.
No Hw due 2/23.
Period 5 - Students had the opportunity to take a look at their last assessment on graphing exponential decay functions and solving exponential growth and exponential decay applications, then we discussed the vocab used in a typical compounded interest problem and solved some applications using what we learned today (direct and backward problems).
Hw due 2/23 - Try some of the examples in the packet on solving exponential applications handed out before the break. This packet is supposed to be finished by Thursday, along with some selected textbook problems (to be announced tomorrow in class).
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February 12
Assessment on graphing exponential decay functions and solving exponential growth and exponential decay applications.
No Hw assigned during the break, but continue/ finish any remaining work from this week if you did not yet and bring it in on Monday, February 22.
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February 11
Period 4 - Continue solving exponential growth and exponential decay applications.
Hw due 2/12 - Finish the practice/ review problems as follows:
FYI - Assessment on graphing exponential decay functions using step- by- step transformations from the parent function and solving exponential growth and exponential decay applications tomorrow. IMPORTANT NOTE: The first part of this assessment will not allow the use of technology because we are testing your graphing skills; for the second part of this assessment you will have to use a graphing calculator or graphing app that you have on your Chromebook. You will not be able to search online for any graphing tools. Please be prepared!
Period 5 - Did not meet today.
Hw due 2/12 - Finish the remaining examples using exp growth and exp decay models only (p. 3 - skip #57; p. 7 - all) from the packet on solving exponential applications handed out this week.
Here is a list of suggested practice/ review problems in preparation for our assessment tomorrow:
These problems are not mandatory for P5 students because of the early release day today.
FYI - Assessment on graphing exponential decay functions using step- by- step transformations from the parent function and solving exponential growth and exponential decay applications tomorrow. IMPORTANT NOTE: The first part of this assessment will not allow the use of technology because we are testing your graphing skills; for the second part of this assessment you will have to use a graphing calculator or graphing app that you have on your Chromebook. You will not be able to search online for any graphing tools. Please be prepared!
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February 10
Solving exponential growth and exponential decay applications.
Hw due 2/11 for Period 4 (2/12 for Period 5) - Finish the remaining examples using exp growth and exp decay models only (p. 3 - skip #57; p. 7 - all).
FYI - Assessment on graphing exponential decay functions and solving exponential growth and exponential decay applications on Friday. Please STUDY! NOTE: We only have these two models for now, we will do the rest of the exponential models after the break.
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February 9
Period 4 - We went over one of the graphs in the last homework assignments, completed some examples of identifying the type of the exponential function and justifying the answers, and matching given equations and given graphs.
No Hw due 2/10, but you may want to pick 1-2 examples of exponential decay functions to graph and discuss using the extra graphing templates handed out today. NOTE: Some of the sophomores will be called out for PSAT assembly tomorrow. Please check your Alg 2 folder in your Google drive for the classroom notes that you missed or stay after school tomorrow (Wednesday) to catch-up. FYI - Assessment on graphing exponential decay functions and solving exponential applications (exponential growth, exponential decay and compounded interest problems) on Friday. Please STUDY!
Period 5 - We completed some examples of identifying the type of the exponential function and justifying the answers, and matching given equations and given graphs. after that, we discussed an example of exponential growth application.
Hw due 2/10 - Complete the first half of p. 3 in the packet on exponential applications handed out today (#46-48 and 56). FYI - Assessment on graphing exponential decay functions and solving exponential applications (exponential growth, exponential decay and compounded interest problems) on Friday. Please STUDY!
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February 8
Period 4 - Graph and discuss exponential decay functions using step- by- step transformations from the parent function.
NOTE: These graphs are very similar to the graphs that we discussed last week. The only difference is that the base is now between 0 and 1, which makes the graphs to decrease (fall) exponentially from left to right instead of increase (rise) exponentially from left to right. Check your Algebra 2 folder for detailed notes and classroom examples- see the file called "Notes Graphing Exp Decay Functions (2016)".
Hw due 2/9 - Finish the 4 exponential decay graphs in the packet 7.2 handed out today. We will discuss any questions tomorrow in class.
Period 5 - Did not meet today (Early release day). Hw due 2/9 - Complete the 4 exponential decay graphs in the packet 7.2 handed out on Thursday. We will discuss any questions on Tuesday.
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February 5 - NO SCHOOL (Snow Day #1)
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February 4
Period 4 - Folding paper activity to investigate exponential decay behavior & discussing a typical exponential decay situation (buying a car whose value decreases exponentially).
No Hw due 2/5.
Period 5 - Folding paper activity to investigate exponential decay behavior & discussing a typical exponential decay situation (buying a car whose value decreases exponentially). We also discussed what makes an exponential function to decay or to grow exponentially.
Hw due 2/5 - Complete the 4 exponential decay graphs in the packet 7.2 handed out today.
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February 3
Assessment on graphing exponential growth functions today.
No Hw due 2/4.
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February 2
More practice/ review problems on graphing exponential growth functions using step- by- step transformations from the parent function.
Hw due 2/3 - Finish the class work (graph/ discuss the two graphs that we created together in class).
FYI - Assessment on graphing exponential growth functions tomorrow. Please STUDY!
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February 1
We worked on some matching given graphs and given exponential functions, explained some transformations from the parent function or from a given function, then continued to graph and discuss more exponential growth functions.
Hw due 2/2 - Use the graphing templates provided in class to graph and discuss p. 482: #13, 14, 20, 22.
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January 29
We continued to graph and discussed exponential growth functions using step- by- step transformations from the parent function. Hw due 2/1 - Use two of the blank graphing templates provided in the packet 7.1 handed out this week to graph and discuss #21 and #23 on p. 482. NOTE: For both of these graphs, show all intermediary curves (use different colors and dotted curves for all but the last curve, that should be solid). The horizontal asymptote (HA) should be also a dotted line.
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January 28
Period 4
Period 5
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January 27 - Semester 2 starts today!
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January 20
Period 4 did not meet today.
No Hw assigned, but work on the midterm review packet and revisit the other sample problems as discussed in class on Tuesday (check your classroom notes and Alg 2 folder in your Google drive for notes on Geometry, Physics, business problems and LTF/ pre-AP Physics problems handed out in class before the portfolio). Bring back your work on the review packet on the day of your midterm, to be counted as bonus.
Period 5 - Review for the midterm exam. No Hw assigned, but work on the midterm review packet and revisit the other sample problems as discussed in class on Tuesday (check your classroom notes and Alg 2 folder in your Google drive for notes on Geometry, Physics, business problems and LTF/ pre-AP Physics problems handed out in class before the portfolio). Bring back your work on the review packet on the day of your midterm, to be counted as bonus.
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January 19
Review for the midterm exam.
No Hw assigned, but work on the midterm review packet and revisit the other sample problems as discussed in class (check your classroom notes and Alg 2 folder in your Google drive for notes on Geometry, Physics, business problems and LTF/ pre-AP Physics problems handed out in class before the portfolio). Bring back your work on the review packet, to be counted as bonus.
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January 15
Period 4 - Work on the midterm review packet.
No Hw due 1/19, but STUDY/ Review for the midterm exam.
Period 5 - Students had the opportunity to continue/ finish their portfolio work today.
No Hw due 1/19, but STUDY/ Review for the midterm exam.
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January 14
Period 4 - Students had the opportunity to continue/ finish their portfolio work today.
FYI - If your group did not finish the portfolio work, please make arrangements to stay after school. It is better if all group members stay together rather than work individually (if your group shows up after school, but you are not there, you will have to work by yourself to continue/ finish any remaining work).
No Hw due 1/15, but work on the midterm review packet.
FYI - Check your Alg 2 folder in your Google drive for a file called "Alg 2 Midterm Review Packet Resources" if you need any electronic resources in preparation for our midterm exam next week. Please note there is no video for problem #87, but we did a lot of examples like that in class at that time. In addition to the review packet, don't forget to go over your sample problems for the Honors portion of the exam (see the file called "Class work and homework" pushed out on January 3rd) and check your notes!
Period 5 - Students had the opportunity to continue their portfolio work today. NOTE: Period 5 students will have one more in-class opportunity to work on and finish their portfolio work tomorrow.
FYI - If your group is not done by the end of the period, please make arrangements to stay after school. It is better if all group members stay together rather than work individually (if your group shows up after school, but you are not there, you will have to work by yourself to continue/ finish any remaining work).
No Hw due 1/15, but work on the midterm review packet.
FYI - Check your Alg 2 folder in your Google drive for a file called "Alg 2 Midterm Review Packet Resources" if you need any electronic resources in preparation for our midterm exam next week. Please note there is no video for problem #87, but we did a lot of examples like that in class at that time. In addition to the review packet, don't forget to go over your sample problems for the Honors portion of the exam (see the file called "Class work and homework" pushed out on January 3rd) and check your notes!
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January 13
Period 4 - Portfolio day 2 today.
FYI - If your group is behind on the portfolio work, please make arrangements to stay after school. It is better if all group members stay together rather than work individually (if your group shows up after school, but you are not there, you will have to work by yourself to continue/ finish any remaining work).
No Hw due 1/14, but work on the midterm review packet.
FYI - Check your Alg 2 folder in your Google drive for a file called "Alg 2 Midterm Review Packet Resources" if you need any electronic resources in preparation for our midterm exam next week. Please note there is no video for problem #87, but we did a lot of examples like that in class at that time. In addition to the review packet, go over your sample problems for the Honors portion of the exam (see the file called "Class work and homework" pushed out on January 3rd) and check your notes!
Period 5 - Did not meet today (X-block).
FYI - Tomorrow is the last in-class day of your portfolio. If your group is behind on the portfolio work, please make arrangements to stay after school. It is better if all group members stay together rather than work individually (if your group shows up after school, but you are not there, you will have to work by yourself to continue/ finish any remaining work).
No Hw due 1/14, but work on the midterm review packet.
FYI - Check your Alg 2 folder in your Google drive for a file called "Alg 2 Midterm Review Packet Resources" if you need to use any electronic resources in preparation for our midterm exam next week. Please note there is no video for problem #87, but we did a lot of examples like that in class at that time. In addition to the review packet, go over your sample problems for the Honors portion of the exam (see the file called "Class work and homework" pushed out on January 3rd) and check your notes!
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January 12
Period 4 - We went over homework questions, then started the portfolio work (day 1 today).
No Hw due 1/13, but work on the midterm review packet.
Period 5 - Portfolio work (day 1 and part of day 2 today). NOTE: Your portfolio work will be continued on Thursday. If you anticipate that your group may need more time than one class period on Thursday, please consider staying after school tomorrow, Thursday or Friday or ask me to request all group members to come for X-block. No Hw due 1/14, but work on problems in the review packet.
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January 11
We discussed some business problems, then students had the opportunity to practice few more Physics problems (pre- AP questions) in preparation for our portfolio starting tomorrow.
Hw due 1/12 - Finish example #7 in the notes on business problems if you did not do it yet, and complete the 3 Physics problems in the packet handed out today.
FYI - Portfolio on solving applications with emphasis on quadratic applications starting tomorrow. Be ready!
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January 8
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January 7
We went over a Geometry application from the homework assignment, then discusses some Physics applications (dropped object without initial velocity and thrown/ launched object with initial velocity).
Hw due 1/8 - Finish the Physics problems left in the packet handed out on Wednesday for P4 and Thursday for P5.
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January 6
Period 4
Period 5 - Did not meet today (X-block).
Hw due 1/7 for P5 - Finish the assignment from Monday (redo/ revise/ finish if needed), to be collected for recording next time. NOTE: Remember that this assignment includes a lot of sample problems in preparation for the midterm exam.
FYI - Please start reviewing for the midterm exam. Check the review problems posted online as explained in the email that you received from me on December 23rd. P5 students will receive a printed copy of the review problems tomorrow.
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January 5
We went over various homework questions. We postponed the Geometry and Physics applications for next time.
Hw due 1/6 for P4 and 1/7 for P5 - Finish the assignment from Monday (redo/ revise/ finish if needed), to be collected for recording next time. NOTE: Remember that this assignment includes a lot of sample problems in preparation for the midterm exam.
FYI - Please start reviewing for the midterm exam. Check the review problems posted online as explained in the email that you received from me on December 23rd. Students will also receive a printed copy of the review problems tomorrow for P4 and Thursday for P5. Students in P5 may stop by my room tomorrow if they want to get a copy of the review packet before Thursday.
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January 4
Wrapping-up the Quadratic Formula and the complex numbers today with some more challenging questions using these concepts & skills.
Hw due 1/5 - Finish the class work. Check your Algebra 2 folder in the Google Drive for the selected problems:
NOTE: These problems should be done in this order, to follow our learning targets. FYI : You should review these problems in preparation for the midyear exam.
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December 23
Period 4 - Students had the opportunity to continue/ finish their corrections to our last two assessments on factoring polynomials and solving polynomial equations over real numbers.
No Hw assigned, enjoy your vacation.
Period 5 - Did not meet today (Half day).
No Hw assigned, enjoy your vacation.
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December 22
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December 21
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December 18
We went over various homework questions, then started the assessment on working with complex numbers. Hw due 12/21 - Use the quadratic formula to solve problems #5, 8, 10, 12, 14, 15, 44 on p. 296. These problems are mandatory!
Reminder: Review for our assessment on complex numbers that is in progress AND try the bonus problems handed out on Friday. No help allowed from others such as parents/ guardians, teachers, tutors, siblings, other relatives, neighbors, classmates, friends, etc. You got the idea... These bonus problems are due no later than Monday, 12/21. Make sure to bring back the paper that was handed out today done or not done, no exceptions.
FYI - Your assessment on working with complex numbers will be continued in class on Monday. Students will be also given the opportunity to make corrections to their assessments on factoring polynomials & solving polynomials equations in class on Monday and Tuesday. Anyone that feels like they need more than that time to complete all their corrections is welcome to stay after school on Monday.
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December 17
Period 4 - We went over various homework questions, then did some examples of division of two complex numbers.
Hw due 12/18 - p. 296: #23-30 all (do only 1 strategy, not 2 like the book says) AND 5.4: Practice B - #29, 30, 32; 5.4: Practice C - all problems on that page EXCEPT #22-24.
FYI - Assessment on working with complex numbers during second half of the class tomorrow or Monday. Be ready!
Period 5 - Did not meet today (early dismissal)
Hw due 12/18 - p. 296: #23-30 all (do only 1 strategy, not 2 like the book says) AND 5.4: Practice C - all problems on that page EXCEPT #22-24.
FYI - Assessment on working with complex numbers during second half of the class tomorrow or Monday. Be ready!
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December 16
Period 4 - "If only" in the auditorium for all freshman and sophomores today. We will resume our classroom discussions on complex numbers tomorrow.
No Hw due 12/17.
FYI - Assessment on working with complex numbers on Friday or Monday. Be ready!
Period 5 - We went over various homework questions, then did some examples of division of two complex numbers.
Hw due 12/18 - p. 296: #23-30 all (do only 1 strategy, not 2 like the book says) AND 5.4: Practice C - all problems on that page.
FYI - Assessment on working with complex numbers on second half of the class on Friday or Monday. Be ready!
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December 15
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December 14
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December 11
1. Why do we need complex numbers? 2. Intro Complex Numbers.
3. Applying the definition of i in basic examples.
4. The complex plane and plotting complex numbers.
5. Operations with complex numbers.
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December 10
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December 9
Period 4
Period 5
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December 8
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December 7
Period 4 - We went over one of the homework questions and discussed how to use the Rational Zeros Theorem to replace the graphical support for finding rational zeros (if there are any).
Hw due 12/8 - Redo examples #1 and #2 from the packet 6.6 to replace the graphical support with the list of rational zeros from the Rational Zeros Theorem. Everything else in your solution will be the same as your previous hw assignment, like discussed in class.
FYI - Unit Test 3.3 on factoring polynomials (all strategies that we learned) and solving polynomial equations over real numbers on Thursday and Friday (2-day assessment). Please STUDY!
Period 5 - We went over one of the homework questions and discussed how to use the Rational Zeros Theorem to replace the graphical support for finding rational zeros (if there are any). We also created a summary of the factoring strategies that we learned so far and the solving strategies that we used so far.
Hw due 12/10 (but try some of them tonight to ask questions in class tomorrow) - Complete the problems handed out today.
FYI - Unit Test 3.3 on factoring polynomials (all strategies that we learned) and solving polynomial equations over real numbers on Thursday and Friday (2-day assessment). Please STUDY!
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December 4
We found the real roots of a more challenging polynomial equation using various factoring and solving strategies that we learned so far.
Hw due 12/7 - Example #1 and Example #2 in the packet 6.6- 6.7. NOTE: Ignore the directions about the Rational Zero Theorem for now, and complete the two examples similar to what we did in class today. You may want to look again at our POA and use it with these examples.
FYI - Unit Test 3.3 on factoring polynomials (all strategies that we learned) and solving polynomial equations over real numbers on Thursday and Friday (2-day assessment). Please STUDY!
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December 3
Period 4 - Students had the opportunity to discuss their final solutions for Al Jabra's problem, then completed some bonus problems.
No Hw due 12/4.
Period 5
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December 2
Period 4
Period 5 - Did not meet today (X-block).
Hw due 12/ 4 - Finish the class work (use our POA to solve the small box problem and the greenhouse problem from Monday's worksheet AND p. 357: #51- 53 all).
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December 1
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November 30
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November 25
Period 4 - Students had the opportunity to finish their assessment on factoring polynomials and solving polynomial equations and try a bonus problem today.
No Hw due 11/30.
FYI - There will be more opportunities for bonus problems next week. Stay tuned!
Period 5 - Did not meet today.
No Hw due 11/30.
FYI - There will be more opportunities for bonus problems next week. Stay tuned!
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November 24
Assessment on factoring polynomials and solving polynomial equations today. Students also had the opportunity to try a bonus problem. There will be more opportunities for bonus problems next week. Stay tuned!
No Hw due 11/25.
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November 23
Hw due 11/24 - Finish the review problems and STUDY for assessment.
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November 20
We went over various homework questions, then continued factoring polynomials using a new factoring strategy: factoring by grouping. We also discussed when to choose a certain factoring strategy.
Hw due 11/23 - p. 357: #18-23 all, 34, 35, 38, 39, and 41.
FYI - Assessment on factoring polynomials using the factoring strategies learned so far and solving polynomial equations using factoring and zero product property on Tuesday. Be ready!
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November 19
Warm- up - Complete the Google Form Quadratics in Disguise
Continue factoring quadratics in disguise and solving polynomial equations using factoring and zero product property.
Hw due 11/20 - p. 357: #32, 33, 36, 37, 40.
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November 18
Period 4 - Factoring quadratics in disguise.
Hw due 11/19 - pp. 356-357: #3-9 all, 24-29 all.
FYI - The following problems are postponed (don't do them yet): p. 357: 32, 33, 36, 37 and 40.
Period 5 - Did not meet today (X-block).
Hw due 11/19 - pp. 356-357: #3-9 all, 24-29 all.
FYI - The following problems are postponed (don't do yet): p. 357: 32, 33, 36, 37 and 40.
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November 17
Period 4 -
Hw due 11/18 - Factor (use GCF, Box, reverse FOIL or difference of two squares as appropriate) p. 263: #3- 31 odd; Solve (using factoring and zero property) pp. 263-264: #33- 57 odd and 59-61 all.
Period 5 - Factoring quadratics in disguise.
Hw due 11/19 - p. 356: #3-9 all, 24-29 all.
FYI - The following problems are postponed (don't do them yet): p. 356: 32, 33, 36, 37 and 40.
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November 16
Period 4 - Assessment on graphing polynomials today.
No Hw due 11/17.
Period 5 -
Hw due 11/17 - TBD (to be determined based on your individual class work completed on Monday).
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November 13
Period 4 - We went over various questions on graphing polynomials, looked at given graphs to identify the least (minimum) degree and each small group had the opportunity to create an improved polynomial that will include more features that we learned than what they did on Monday.
No new Hw assigned, but continue/ finish your previous assignments if needed and review/ STUDY for your assessment on graphing polynomials on Monday.
Period 5 - Assessment on graphing polynomials today.
No Hw due 11/16.
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November 12
Period 4 - More practice graphing polynomials.
Hw due 11/13 - Finish the class work from Tuesday (see the following list):
Period 5 - We went over various questions on graphing polynomials, looked at given graphs to identify the least (minimum) degree and each small group had the opportunity to create an improved polynomial that will include more features that we learned than what they did on Monday.
No new Hw assigned, but continue/ finish your previous assignments if needed and review/ STUDY for your assessment on graphing polynomials tomorrow.
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November 11
No School - Veterans' Day
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November 10
Period 4 - We had a gallery walk to see the various functions that other groups created yesterday, and provide feedback as applicable (observations, questions, concerns, any positive criticism were welcomed). We also discussed a given graph that had multiple roots and wrote a possible equation for that function.
Hw due 11/12 - Use the provided graphing templates to graph and discuss the functions #13 and 14 on p. 390. NOTE: Please ignore what the textbook if asking you to do, and graph/ discuss these functions instead.
FYI - In case that you want to get a jump start on the review graphs that we are doing on Thursday in preparation for our assessment on Friday, please see the list below:
Period 5 - More practice graphing polynomials.
Hw due 11/12- Finish the class work from Tuesday (see the following list):
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November 9
Period 4 - Small group work: create a function using given end behaviors and sketched its graph, then sketched the graph of the function q(x) in our list, which had a combination of multiple roots.
Hw due 11/10 - Finish any remaining sketches and discussions for the functions g, h, k, m, p, q if not completed yet.
Period 5 - Small group work: create a function using given end behaviors and sketched its graph, and had a gallery walk to see what other students created, and provide feedback as applicable (observations, questions, concerns, any positive criticism were welcomed). We also discussed a given graph that had multiple roots and wrote a possible equation for that function.
Hw due 11/10 - Use the provided graphing templates to graph and discuss the functions #13 and 14 on p. 390. NOTE: Please ignore what the textbook if asking you to do, and graph/ discuss these functions instead.
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November 6
We continued graphing polynomials in root form with multiple roots (double roots only for P4; double and triple roots for P5).
Hw due 11/9 - Finish pp. 5-6 in the packet #1 on graphing polynomials. In addition to these pages, P5 also has to finish the discussion for q(x) if not completed in class.
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November 5
We continued graphing polynomials in root form using the graphing template that was provided in class.
Hw due 11/6 - Using the graphing template provided in class to graph/ discuss the functions h(x) and k(x).
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November 4
We summarized our understanding on the end behaviors of a polynomial function, then started graphing by hand (see the graphing template from class).
Hw due 11/5 - Complete the Exit Ticket - Discuss End Behavior of Polynomials.
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November 3 - No school for students (Professional Day for teachers)
Please check homework assignment from Monday.
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November 2
We did a mini- lesson/ review of the end behaviors when graphing a linear or quadratic function. After that students had the opportunity to continue/ finish their small group work from Friday and turn it in OR work on finishing the last homework assignment (see agenda for October 30 for links to the problems) and turn them in as correction points to be added to the polynomial assessment from last week.
Hw due 11/4 - Complete pp. 2-3 in the packet on graphing polynomials handed out on Monday.
FYI - If you want to have correction points added to your last polynomial assessment from last week, you have to turn in your last homework assignment (see agenda for October 30 for links to the problems) TODAY either on paper or electronically (email me directly with pictures of each page, then turn in the work on Wednesday).
Please see below our test correction points corresponding to various assessment scores:
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October 30
IMPORTANT NOTES:
Please see below the requirements for this assignment:
FYI - I do not expect that anyone will not be able to finish all the work today (each group has only 2 problems assigned), but if that is the case, please email me at teodorescu@wsps.org to let me know what happened/ why your work was not turned in, and I will let you know if there is anything that you may be able to do on Monday (possibly after school).
Hw due 11/2 - From each of the links below, select 4 problems and complete them in your notebook, for a total of 20 sample problems. Once you are on one of the web pages listed below, click on the link that says "Click Here for Practice Problems". If you need to check the solution key, you may hover over ANSWER or click on the link that says COMPLETE SOLUTION. Please bring your completed problems to be recorded on Monday. This assignment will be recorded as homework assignment, as well as correction points (if you'd like that). Please make sure to write CORRECTIONS on top of the page and check that all your solutions are complete and correct to earn the correction points that will be added to your last assessment on polynomial introduction (vocab, add, subtract, multiply, divide, factor/ solving polynomials using division).
1. Add/ subtract polynomials - pick 4 examples to complete in your notebook
http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/add_subtract/add_subtract.html
2. Multiply polynomials - pick 4 examples to complete in your notebook
http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/multiplying/multiplying_poly.html
3. Square binomials - pick 4 examples to complete in your notebook
http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/squaring/squaring.html
4. Divide polynomials using long division - pick 4 examples to complete in your notebook
http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/long_division/long_division.html
5. Divide polynomials using synthetic division - pick 4 examples to complete in your notebook
http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/synthetic/synthetic_division.html
NOTES: Be advised that some of the examples listed under synthetic division are not done properly, because the divisor did not meet the two requirements: leading coefficient of the divisor = 1 and degree of the divisor = 1. I suggest that you find 4 problems that you can use synthetic division for and skip those that are not possible. Sorry for any inconvenience if you find any typos in the solution steps. In particular, you may find a typo when there are two variables in the selected problem (for example #4 in the practice problems on adding and subtracting polynomials, should say -3x^2y for the first term in the standard form for your final answer).
FYI - Anyone that owes make-up work (assignments or assessments) or needs extra help, should stay after school on Monday or Thursday next week, as we are closing Quarter 1 on November 6.
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October 29
Students had the opportunity to continue/ finish their last assessment (if needed), then looked at connections between factoring quadratic expressions/ solving quadratic equations and graphing quadratic functions in root form (or graphing functions in standard form and finding the roots from the graph).
Hw due 10/30 - Continue/ finish your small group assignment if not done yet.
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October 28
Period 4 - Assessment on polynomial division (long division and synthetic division), using division in a Geometry application for finding the missing side and using synthetic division for factoring polynomials of degree higher than 2.
No Hw due 10/29.
Period 5 - Did not meet today (X-block).
No Hw due 10/29.
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October 27
Period 4 - Using synthetic division for factoring polynomials and solving polynomial equations of degree higher than 2.
Hw due 10/28 - p. 366: #29- 37 odd and STUDY for assessment on polynomial division (long division and synthetic division), using division in a Geometry application for finding the missing side and using synthetic division for factoring polynomials of degree higher than 2 tomorrow!
Period 5 - We went over various homework questions, then did our assessment on polynomial division (long division and synthetic division), using division in a Geometry application for finding the missing side and using synthetic division for factoring polynomials of degree higher than 2.
No Hw due 10/29.
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October 26
Period 4 - Using division (long division or repeated synthetic divisions) to find the missing side in a Geometry application, and using synthetic division for factoring polynomials of degree higher than 2.
Hw due 10/27 - p. 366: #21- 27 all.
FYI - Assessment on polynomial division and using polynomial division for factoring polynomials and solving polynomial equations of degree higher than 2 and finding a missing side in a Geometry application on Wednesday.
Period 5 - Using division (long division or repeated synthetic divisions) to find the missing side in a Geometry application, and using synthetic division for factoring polynomials and solving polynomial equations of degree higher than 2.
Hw due 10/27 - p. 366: #29- 37 odd.
FYI - Assessment on polynomial division and using polynomial division for factoring polynomials and solving polynomial equations of degree higher than 2 and finding a missing side in a Geometry application tomorrow.
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October 23
Period 4 - After completing a self- check on the polynomial long division, we learned a shortcut of this division, the synthetic division of polynomials.
Hw due 10/26 - p. 366: #16- 20 all.
FYI - Assessment on polynomial division (long division and synthetic division) on Wednesday. Please STUDY!
Period 5 - After completing a self- check on the polynomial long division, we learned a shortcut of this division, the synthetic division of polynomials, and how to use the synthetic division for factoring polynomials of degree higher than 2.
Hw due 10/26 - p. 366: #16- 20 all, 21- 27 odd.
FYI - Assessment on polynomial division (long division and synthetic division) on Tuesday. Please STUDY!
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October 22
Polynomial long division.
Hw due 10/23 - p. 366: #3-9 odd.
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October 21
We went over some of the homework questions, then completed the assessment on poly vocab, adding, subtracting, multiplying polynomials and backward problems today
No Hw due 10/22.
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October 20
Period 4 - Self- check of your understanding on adding, subtracting, multiplying polynomials and backward problems.
Hw due 10/21 - pp. 349-350: #3, 5, 15, 16, 22, 24, 32, 41, 48-51 all.
FYI - Assessment on poly vocab, adding, subtracting, multiplying polynomials and backward problems tomorrow. Be ready!
Period 5 - Did not meet today (Early Release Day).
Hw due 10/21 - Finish the remaining examples in the poly vocab packet and STUDY for assessment.
FYI - Assessment on poly vocab, adding, subtracting, multiplying polynomials and backward problems tomorrow. Be ready!
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October 19
We did some polynomial backward problems (finding the unknown polynomial) using the information given and reviewed the polynomial vocabulary from Algebra I.
Hw due 10/20 for P4 (10/21 for P5) - Finish the remaining examples in the poly vocab packet.
FYI - Quiz on poly introduction on Wednesday. Be prepared!
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October 16
Period 4 - We went over some homework questions, then completed a quick assessment on graphing quadratics in root form. Students also had the opportunity to try a bonus problem, time permitting.
Hw due 10/19 - Complete the Algebra I review packet on adding, subtracting, and multiplying polynomials. Bring any questions to class on Monday.
Period 5 - We went over most of the factoring examples 6-10 in the review worksheet handed out on Tuesday, made connections between the x-intercepts that we found by hand and the graph of the quadratic function in root form. We also started reviewing some more Algebra I skills: adding, subtracting, and multiplying polynomials.
Hw due 10/19 - Continue/ finish any remaining examples in the Algebra I review packet on adding, subtracting, and multiplying polynomials. Bring any questions to class on Monday.
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October 15
Period 4 - After discussing the summary of graphing quadratics in root (intercept) form and identifying the "big ideas" for the three forms of quadratics that we learned, we used the GCF/ Box strategy for factoring quadratics to factor a given quadratic expression and the graphing template to graph/discuss the root (intercept) form of this function.
Hw due 10/16 - Finish any remaining examples in the packet handed out today (factor each quadratic expression, then use the graphing template provided to graph/ discuss the root form of each quadratic function).
FYI - Assessment on graphing quadratics in root (intercept) form tomorrow. NOTE: The root form will be given, you are not expected to factor first for this assessment. We will go over any questions in class tomorrow, then complete the assessment. Please STUDY!
Period 5 - We went over some homework questions, then completed a quick assessment on graphing quadratics in root form. Students also had the opportunity to try a bonus problem, time permitting.
Hw due 10/16 - Finish examples #6-10 from the worksheet on factoring day 1 handed out on Tuesday.
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October 14
Period 4 - Did not meet today (PSAT testing).
Hw due 10/15 - Finish examples #6-10 from the worksheet on factoring day 1 handed out on Tuesday.
Period 5 - More practice examples factoring given quadratic expressions and graphing the root (intercept) form of the quadratic functions.
Hw due 10/15 - Finish the class work (for the examples #1-3 and 5 from the packet handed out today, factor each quadratic expression, then use the graphing template provided to graph/ discuss the root form of each quadratic function).
FYI - Assessment on graphing quadratics in root (intercept) form tomorrow. NOTE: The root form will be given, you are not expected to factor first for this assessment. We will go over any questions in class tomorrow, then complete the assessment. Please STUDY!
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October 13
Period 4
1. Warm-up - Enter your answers to the Pre-Test Skills: Factoring Quadratics .
2. Discuss our answers and the factoring strategies used (GCF and Box or reverse FOIL).
Hw due 10/15 - Finish the remaining examples (#6-10) in the factoring worksheet.
Period 5
1. Warm-up - Enter your answers to the Pre-Test Skills: Factoring Quadratics .
2. Summary of graphing quadratics in root (intercept) form and identifying the "big ideas" for the three forms of quadratics that we learned.
3. Factor a given quadratic expression and use the graphing template to graph/discuss the root (intercept) form of this function.
Hw due 10/14 - Finish the graphing template for the function that we started in class f(x)= x^2+3x-4 = (x-1)(x+4).
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October 9
Period 4 - Students had the opportunity to continue/ finish their assessment on graphing quadratics in vertex form, modeling with quadratics in vertex form and min/ max quadratic applications, then started graphing quadratic functions in root (intercept) form.
Hw due 10/13 - Use the graphing template provided in class to graph and discuss the second function listed in the graphic organizer for graphing quadratics in root (intercept) form.
Period 5 - Assessment on graphing quadratics in vertex form, modeling with quadratics in vertex form and min/ max quad apps.
Hw due 10/13 - Use the graphing template provided in class to graph and discuss the two functions listed in the graphic organizer for graphing quadratics in root (intercept) form.
NOTE: Find the x-intercepts (roots) first, then plot them, and find the midpoint between these two mirror points. The AOS is going through this midpoint. The vertex is on the AOS. To find the y-coordinate of the vertex, you will have to plug in the x-coordinate (the value of the midpoint found before). Follow the steps listed in the graphic organizer (check the left- hand side) and your graphing skills to complete the template. Bring any questions to class on Tuesday.
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October 8
Period 4 - Assessment on graphing quadratics in vertex form, modeling with quadratics in vertex form and min/ max quad apps.
No Hw due 10/9.
Period 5 - Review for assessment on graphing quadratics in vertex form.
Hw due 10/9 - Finish the review problems (p. 249: Graph/ Discuss #3 and 9; p. 312: complete #8, 9, 15; p. 250-251: apps #52, 54, 56; p. 314: app #47).
FYI - Assessment on graphing quadratics in vertex form and basic applications (modeling and/ or word problems) tomorrow. Please STUDY!
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October 7
Period 4 - Review for assessment on graphing quadratics in vertex form.
Hw due 10/8 - Finish the review problems (p. 249: Graph/ Discuss #3 and 9; p. 312: complete #8, 9, 15; p. 250-251: apps #52, 54, 56; p. 314: app #47).
FYI - Assessment on graphing quadratics in vertex form and basic applications (modeling and/ or word problems) tomorrow. Please STUDY!
Period 5 - Did not meet today.
Hw due 10/8 - p. 312: #3-5 and 10.
FYI - Assessment on graphing quadratics in vertex form and basic applications (modeling and/ or word problems) on Friday. Please STUDY!
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October 6
We discussed some modeling problems using the information given graphically (in a sketch) and/ or numerically (in a table) to write a quadratic function in vertex form. We also discussed some min/ max problems and a basic quadratic application.
Hw due 10/7 for P4 and 10/8 for P5 - p. 312: #3-5 and 10.
FYI - Assessment on graphing quadratics in vertex form and basic applications (modeling and/ or word problems) on Thursday for Period 4 and Friday for Period 5.
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October 5
We used the updated graphing template to graph and discuss more examples of quadratic functions in vertex form.
Hw due 10/6 - Use the graphing template provided to graph and discuss p. 249: #4-10 even.
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October 2
Period 4 - Students had the opportunity to work in small groups to continue/ finish the quadratic lab on graphing quadratic functions in vertex form. After the lab, we made the sketch and discussed the graph of a quadratic function in vertex form.
Hw due 10/5 (for Period 4) - Use the graphing template provided in class to graph and discuss the example listed under "Your Turn" from the graphic organizer on graphing quadratic functions in vertex form.
FYI - Quadratic lab due by 11:59 PM tonight. Please finish your work if needed!
Period 5 -Students had the opportunity to work in small groups to continue/ finish the quadratic lab on graphing quadratic functions in vertex form. After the lab, students were able to continue/ finish their bonus problems from the last assessment.
No Hw due 10/5 (for Period 5 only).
FYI - Quadratic lab due by 11:59 PM tonight. Please finish your work if needed!
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October 1
Students worked in small groups to complete the quadratic lab on graphing quadratic functions in vertex form.
No Hw due 10/2, but continue working on your labs (to be finished by 11:59 PM tomorrow).
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September 30
Period 4 - Small group work on the quadratic lab for vertex form.
No Hw due 10/1 , but continue working on your labs.
Period 5 - Did not meet today (X-block).
No Hw due 10/1.
NOTE: If you are one of the P5 student leaders for the small groups this week, please check your H Alg 2 folder in the Google Drive for the file "Quad Lab in Vertex Form", save this file as a Google doc and share it with your group members, so that you are all ready to start the lab on Thursday.
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September 29
Assessment on graphing quadratic functions in standard form (individual graphing and small group work on solving a backward problems). Students were also given the opportunity to try some bonus problems in small groups.
No Hw due 9/30 (10/1 for Period 5).
NOTE: If you are one of the student leaders for the small groups this week, please check your H Alg 2 folder in the Google Drive for the file "Quad Lab in Vertex Form", save this file as a Google doc and share it with your group members, so that you are all ready to start the lab on Thursday.
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September 28
We discussed a matching example and shared out strategies for matching a function with a given graph, then worked on some more challenging backward problems with multiple entries/ possible correct answers.
No new Hw due 9/29, but review your previous work on graphing quadratic functions in standard form using the graphing template and the more challenging problems discussed in class today.
FYI - Assessment on graphing quadratic functions in standard form tomorrow. Please STUDY!
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September 25
Continue to graph/ discuss quadratic functions in standard form.
Hw due 9/28 - Use the graphing templates provided to graph/ discuss #17 and 18 from the worksheet 5.1: Practice A and #23/ p. 240 in your textbook.
FYI - Possible assessment on graphing quadratic functions in standard form on Tuesday. Please STUDY!
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September 24
Graph/ discuss quadratic functions in standard form.
No Hw due 9/25, but go over the examples from class.
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September 23
Period 4 - Students had the opportunity to take a look at their unit test on working with patterns and ask questions if needed, then started a new unit of study: Graphing Quadratic Functions. We discussed an example of graphing a quadratic function in standard form today (to be continued tomorrow in class).
No Hw due 9/24.
Period 5 - Did not meet today (X- block).
Hw due 9/24 - Try to graph and discuss Example #2 from the graphic organizer on graphing quadratic functions in standard form.
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September 22
Period 4 - Small group work to solve Carla's application on patterns.
No Hw due 9/23, but continue/ finish Carla's application if needed, due by 11 PM tonight!
Period 5 - Students had the opportunity to continue/ finish the small group work on Carla's application on patterns, then started a new unit of study: Graphing Quadratic Functions. We discussed an example of graphing a quadratic function in standard form today.
Hw due 9/24 - Try to graph and discuss Example #2 from the graphic organizer on graphing quadratic functions in standard form.
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September 21
Period 4 - Students had the opportunity to continue/ finish their last assessment on patterns and try the bonus problems today. After assessment, we discussed the first performance assessment.
No Hw due 9/22, but if you received the performance assessment file from me, please make a copy of that file and share with your group members before tomorrow, as discussed in class.
Period 5 - Students had the opportunity to try the bonus problems today, then worked in small groups to solve Carla's application on patterns (to be continued/ finished in class tomorrow).
No Hw due 9/22.
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September 18
Unit test on working with patterns today.
No Hw due 9/21, but finish your last assignment(s) if you did not have them done for Friday.
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September 17
Students had the opportunity to discuss some more challenging patterns (rational and alternating signs), write closed and recursive rules, and ask questions on their review problems.
No new Hw due 9/18, but finish #1-17 all in the .pdf file called "Patterns Review Updated 2015" - see your Google Drive.
FYI - Unit Test on Patterns tomorrow. Please STUDY!
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September 16
We went over various homework questions, then completed a small group activity on working with various patterns. Each group will get a chance to present their work by the end of tomorrow.
Hw due 9/17 - Check your Google Drive for the .pdf file called "Patterns Review Updated 2015" and try some of the problems #1-17 (due on the day of your unit test on patterns, which is FRIDAY!). Please bring your questions to class tomorrow! You may check your work/ answers with the solution key available on the last two pages of this .pdf file.
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September 15
Period 4 - Practice examples on writing recursive rules for linear and exponential patterns.
Hw due 9/16 - Finish the remaining examples in the worksheets on linear and exponential patterns written as closed and recursive rules. NOTE: Try the practice problems and bring any questions to class tomorrow.
FYI - Unit 1 Test on Thursday or Friday. Please STUDY!
Period 5 - We discussed the function notation in an example, then looked at a famous recursive rule (Fibonacci's Sequence), talked about the difference between a closed rule and a recursive rule, and completed some practice examples on writing recursive rules for linear and exponential patterns.
Hw due 9/16 - Continue/ finish the remaining examples from the new worksheets on writing linear and exponential rules closed and recursively. NOTE: Try the practice problems and bring any questions to class tomorrow.
FYI - Unit 1 Test on Thursday or Friday. Please STUDY!
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September 14 (Early Release Day - P1, 2, 3, 4 meet)
Period 4 - We discussed the function notation in two examples, then looked at a famous recursive rule (Fibonacci's Sequence) and talked about the difference between a closed rule and a recursive rule.
Hw due 9/15 - Examples #1-4 from the new worksheet on writing linear rules (closed, recursive - in words and in symbols). NOTE: You should be able to write the closed rules and the descriptive (in words) rules. Try writing the recursive rules (in symbols) similar to the Fibonacci's Rule discussed in class. Please bring any questions to class tomorrow.
FYI - Unit 1 Test on Thursday or Friday. Please STUDY!
Period 5 - Did not meet today.
Hw due 9/15 - Finish the class work from Friday (any remaining examples in the worksheets on exponential patterns and more quadratic patterns).
FYI - Unit 1 Test on Thursday or Friday. Please STUDY!
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September 11
More practice examples on working with exponential and quadratic patterns today.
Hw due 9/14 for P4 and 9/15 for P5 - Finish the class work (any remaining examples in the worksheets on exponential patterns and more quadratic patterns).
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September 10
Period 4 - We went over some of the homework problems, and discussed some more examples of quadratic patterns, along with their graphs and the relationship between the graphs (transformations from the parent function).
Hw due 9/11 - Complete #9 and #14 on p. 4 in the patterns handout from last week, that will finish that handout.
FYI - Please bring all your completed work to class for recording tomorrow.
Period 5 - We went over some of the homework problems, and discussed some more examples of quadratic patterns, along with their graphs and the relationship between the graphs (transformations from the parent function). We also did an example of a rational rule and discussed the graph.
Hw due 9/11 - Complete #9, 13 and #14 on p. 4 in the patterns handout from last week, that will finish that handout.
FYI - Please bring all your completed work to class for recording tomorrow.
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September 9
Period 4 - We went over the two examples on writing rational rules from the homework assignment, then discussed strategies for finding a quadratic rule for a given pattern.
Hw due 9/10 - Try the examples #2- 4 in the worksheet on quadratic patterns handed out today. We will discuss them in class tomorrow.
Period 5 - We discussed various strategies for finding a quadratic rule for a given pattern.
Hw due 9/10 - Continue/ finish examples #3 and 4 in the worksheet on quadratic patterns handed out today. Bring any questions to class tomorrow.
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September 8
Period 4 - Students had the opportunity to create their own linear rule today, explain it and make a sketch of it. Then we discussed an example of exponential pattern.
Hw due 9/9 - Write a rule for the exponential pattern #6 on p. 2, fill in the table and sketch its graph, like discussed in class. Also try to write a closed rule, fill in the missing numbers in the pattern and make a sketch for #7 on p. 2 and #13 on p. 4. NOTE: #7 and #13 are different patterns than the ones done in class so far. Please try your best. We will discuss them in class tomorrow.
Period 5 - Students had the opportunity to create their own linear rule today, explain it and make a sketch of it. Then we discussed an example of quadratic pattern.
No Hw due 9/9. We will discuss more quadratic patterns in class tomorrow.
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September 4
Period 4 - We summarized the linear pattern strategy today, went over an example, and started using a graphing app with our Chromebook to help us with the graphing, and finding missing terms quickly when we already know the closed rule.
Hw due 9/8 - Complete the remaining linear patterns in our handout on patterns, like we discussed in class. NOTE: For each given table, write a closed rule, find the missing terms, sketch the graph, and discuss the end behaviors on the graph.
Period 5 - We summarized the linear pattern strategy today, went over an example, and started using a graphing app with our Chromebook to help us with the graphing, and finding missing terms quickly when we already know the closed rule. We also discussed the exponential pattern strategy (to be continued on Tuesday).
Hw due 9/8 - Complete the remaining linear patterns in our handout on patterns, like we discussed in class. NOTE: For each given table, write a closed rule, find the missing terms, sketch the graph, and discuss the end behaviors on the graph.
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September 3
Period 4 - We discussed some examples of linear patterns numerically (using the input/ output table and finding missing terms) and algebraically (finding the closed rule for a given input/ output table).
Hw due 9/4 - Continue/ finish finding the missing terms and writing a closed rules for any examples left on p. 1 in the handout from class (#1-4 should be finished for tomorrow).
Period 5 - We discussed some examples of linear patterns numerically (using the input/ output table and finding missing terms), algebraically (finding the closed rule for a given input/ output table), and graphically (making a sketch of the pattern and discussing the end behaviors).
Hw due 9/4 - Continue/ finish finding the missing terms, writing the closed rules, sketching the graphs and discussing the end behaviors for any examples left on p. 1 in the handout from class (#1-4 should be finished for tomorrow).
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September 2 - Welcome back to school!
We discussed the course expectations today.
Hw due 9/3 - Read/ understand the course expectations and the Algebra II letter to parents, then sign and return the "signature page".