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people:mckenzie:math_108_hw [2019/06/19 15:16]
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-{{:​people:​mckenzie:​textbook_scan_chapter_1_math_108.pdf|Chapter 1 textbook scan}}
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-{{:​people:​mckenzie:​scan_of_textbook_ch_3_part_1.pdf|Chapter 3 textbook scan part 1}}
-and {{:​people:​mckenzie:​scan_of_textbook_ch_3_part_2.pdf| part 2}}
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-{{:​people:​mckenzie:​ch_7_scan.pdf|Ch 7 scan}}
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-In bold is the date on which the assignment is given. Prepare the work shown and be ready to ask/answer questions the following class day.
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-WEEK 1
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-Read Sec 1.1-1.2; do Comprehension Checks throughout the reading. ​
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-8-) Do on pp. 31-32, Sec 1.1 and 1.2 problems.
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-Go to [[people:​mckenzie:​worksheets|Practice worksheets]] and choose the one on radicals and rational exponents.
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-//Read Sec 1.3 // Finish up Sec 1.1 and 1.2 problems. Do all problems for Sec. 1.3, pp 32-33.
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-Read Sec 1.4 and view FACTORING VIDEOS:
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-[[https://​www.youtube.com/​watch?​v=WipYqupv9wY|Magic factoring (aka factoring by trial and error)]]
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-[[https://​www.youtube.com/​watch?​v=YaCpeoxGa4E|Factoring by grouping (with example using magic factoring)]]
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-[[https://​www.youtube.com/​watch?​v=eXjxF1I9o4E|Factoring sums and differences of cubes]]
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-WEEK 2
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-8-O Study for quiz on Sections 1.1 to 1.3
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-Do all Sec 1.4 problems. ​
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-For Sec 1.5, view these videos along with reading the book -- Operations on Rational Expressions:​
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-[[https://​www.youtube.com/​watch?​v=x6XyP2_RfA4|Writing rat'l expressions in lowest terms]]
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-[[https://​www.youtube.com/​watch?​v=oUaIdqhCyTU|Multiplying,​ dividing rat'l expressions Ex 1]]
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-[[https://​www.youtube.com/​watch?​v=MJaGrODQr1U|Multiplying,​ dividing rat'l expressions Ex 2]]
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-[[https://​www.youtube.com/​watch?​v=XvJq5kfKpAM|Multiplying,​ dividing rat'l expressions Ex 3]]
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-[[https://​www.youtube.com/​watch?​v=d3xr5a4cln0|Adding,​ subtracting rat'l expressions,​ one more good example]]
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-Read Sec 1.5; do exercises pp 33-34 #1, 2, 3 a-i
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-View [[https://​www.youtube.com/​watch?​v=VrI36NODgN0|Solving an equation involving two radicals Ex 1]]
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-Do Sec 1.6 p 34 #1 a-m
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- View [[https://​www.youtube.com/​watch?​v=xGOQYTo9AKY|Completing the square to solve an equation: Ex 1]] and [[https://​www.youtube.com/​watch?​v=zKV5ZqYIAMQ|Completing the square to solve an equation: Ex 2]]
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-After viewing, read Sec 2.2.
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-Do p 58 completing the square #1 all, #2 all, #3 a-g
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-Read 2.1; do p 58 polynomial division #1 a-f
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-WEEK 3
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-Quiz 2: Factoring (special products, reverse FOIL, and grouping), simplifying a rational equation ​ (state the restrictions on x at the end), solving a radical equation (don't forget to check your answer), solving a quadratic equation by completing the square.
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-Read Sec. 3.1 and 3.2. Look esp at the domain examples and comprehension checks. ​
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-[[http://​patrickjmt.com/​finding-the-domain-of-a-function-algebraically-no-graph/​|Algebraically Finding the Domain of a Function]] ​
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-Do pp 84-85 #1 a c d f, 4 all, 6 a b, 7, 9
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- Read Sec 3.3 and 3.4
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-Do p 85 2, 3 b d, 4, 6 a b, 7
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-Watch the videos: ​
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-[[https://​www.youtube.com/​watch?​v=hy0N-90gCu0|Evaluating piecewise functions]] ​
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-[[https://​www.youtube.com/​watch?​v=_zy7Uro7iCg|Domain of a composition of functions]]
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-Read Sec 3.4 and view:
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-[[https://​www.youtube.com/​watch?​v=NgA6rz0nb6w|Understanding one-to-one functions and inverses]]
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-[[https://​www.youtube.com/​watch?​v=Ec5YYVxyq44|Finding the inverse of a function]]
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-Do Sec 3.4 pp 86-87 #1-5.
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-Extra practice worksheet on finding inverse functions (especially the second set on the page): ​
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-[[http://​www.kutasoftware.com/​FreeWorksheets/​Alg2Worksheets/​Function%20Inverses.pdf|Inverse functions worksheet]]
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-Quiz 3 on composition of fcns and their domain, finding the inverse of a fcn, showing a fcn is 1-1, using the definition (I'll leave an example on the board for that one, as I did on the first quiz).
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-Read Sec 3.3 and view: [[https://​www.youtube.com/​watch?​v=oKKcIK_PgEk|Even and odd functions]]
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-Do p 86 Sec 3.3 #1 a b c d, 2 all, 4, 5 a b, 7
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-Extra practice worksheets on Odd/​Even/​Neither: ​
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-{{:​people:​mckenzie:​odd_even_or_neither_worksheet.odt|Odd,​ even or neither worksheet}}
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-{{:​people:​mckenzie:​even_odd_practice.pdf|More even, odd, neither practice}}
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-8-O  Study for Exam 1. It covers Ch 1, Ch 2.1 and 2.2 and Ch 3.
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-Topics: simplifying,​ performing operations on exponents and radicals; same for rational expressions;​ factoring; completing a square with leading coeff NOT equal to 1; solving equations (quadratic, radical, rational); function domain (interval notation); operations on fcns, esp composition and resulting domain; identifying even, odd fcns by evaluating f(-x) and comparing to f(x); showing a fcn is one to one, long division of polynomials,​ finding inverse of a fcn.
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-{{:​people:​mckenzie:​practice_worksheet_for_exam_1.pdf|Practice worksheet for Exam 1}}
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-{{:​people:​mckenzie:​key_to_practice_worksheet_for_exam_1.pdf|Key to practice worksheet for Exam 1}}
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-WEEK 4
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-Study for Exam 1
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-Next Unit: Ch 4, Ch 5 and Ch 6
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-Read Sec 4.1 and 4.2.
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-View [[https://​www.youtube.com/​watch?​v=-gwffMEr8i8|Graphing piecwise functions 1]]
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-[[https://​www.youtube.com/​watch?​v=hDNAVh0VtTc|Graphing piecwise functions 2]]
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-[[https://​www.youtube.com/​watch?​v=BxaYyS6lsQ4|Domain and range of piecewise functions]]
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-Do Sec 4.1, which is about basic functions, shifted left, right, up or down, stretched or compressed.
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-Do Sec 4.1 pp 110-111 #1, 4, 6, 7, 8
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-View: [[http://​patrickjmt.com/​horizontal-and-vertical-graph-transformations/​|Graphing transformed functions 1]]
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-[[https://​www.youtube.com/​watch?​v=5oQgzup9nx4|Graphing transformed functions 2]]
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-WEEK 5
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-Read Sec 4.2; do pp 111-112 ​ #1a-o, 4, 6, 7, 8.
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-Study for Tuesday quiz on parent functions and rigid transformations.
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-Catch up on any Ch 4 problem sets and videos. ​
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-Read Sec 5.1: Understanding important features of polynomials in order to graph them.
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-View IMPORTANT video:
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-[[https://​www.youtube.com/​watch?​v=y8iUngkQFwg|End behavior, roots and multiplicity of roots to graph a polynomial]]
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-Do pp 150-151 #1-7
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-Do p 151 #8, 9.
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-Read Sec 5.2. View:
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-[[https://​www.youtube.com/​watch?​v=eHPTyYbNmx4|Find equation using point-slope form]] ​
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-[[https://​www.youtube.com/​watch?​v=Rew54K6mYUo|Parallel and perpendicular lines]] ​
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-Quiz 5, {{:​people:​mckenzie:​math_108_quiz_5_revised_polynomial_graphing.pdf|Take-home quiz on polynomial graphing}} ​
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-Go back and view [[https://​www.youtube.com/​watch?​v=7p2yeuAXSCs|Rational root (zeroes) theorem]] ​
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-[[https://​www.youtube.com/​watch?​v=R7PPA3p8iBg|Rational root theorem, example]]
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-[[https://​www.youtube.com/​watch?​v=7p2yeuAXSCs|Rational root theorem]] ​
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-[[https://​www.youtube.com/​watch?​v=eHPTyYbNmx4|Find equation using point-slope form]] ​
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-[[https://​www.youtube.com/​watch?​v=Rew54K6mYUo|Parallel and perpendicular lines]] ​
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-Do Sec 5.2 pp 151-152 #3-6, 8 a b e, 9, 10, 11 a b, 12 a c, 16-18
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-WEEK 6
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-MAKE SURE YOU HAVE DONE enough of SEC 5.2 problems to be able to do a multi-part problem on lines as we did today
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-Read Sec 5.3 (again, about roots of second degree polynomials,​ i.e., quadratic functions. Solving these is just like what we did in Sec 1.6. Check out 8-) {{:​people:​mckenzie:​quadratic_solutions.pdf|My notes on quadratic equations, formula, and meaning of roots}}
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-View [[https://​www.youtube.com/​watch?​v=l7NhOb3Rjcc|Using the discriminant to find the number of roots]] and [[https://​www.youtube.com/​watch?​v=lGZNaoHGsM8|More using the discriminant]]
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-Do p 153 #1, 2, 3
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-Read Sec 6.1. View [[https://​www.youtube.com/​watch?​v=b-CydtdDYD8|Graphing a simple rational function]] ​
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-[[https://​www.youtube.com/​watch?​v=BDE73AJrkNA|Graphing a harder rational function]]
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-Do p 188 Sec 6.1 #2, 3
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-Read Sec 6.2-6.3; do Sec 6.2 pp 188-189, #3 a-d, 5 a b, 6 all
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-Sec 6.3 p 190, #1 a-e and Sec 6.4 pp 190-191 #1-4.
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-WEEK 7
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-Study for 8-O Exam 2,Chapters 4, 5, 6.
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-{{:​people:​mckenzie:​math108_fall2017_quiz6.pdf|Graphing rational function practice '​quiz'​}} to be desk-checked (not collected) on Monday !
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-WEEK 8
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-:!: Go to [[people:​mckenzie:​math_108_videos|Videos]] and view '​Solving quadratic and rational inequalities'​
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- Do problems in Sec 7.1 p 215 #1 a-e, f, 2 a-c, e, 3 a-e, 6
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-Read Sec 7.2. View:
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-[[http://​patrickjmt.com/​solving-absolute-value-equations-ex-1/​|Absolute value equations--Example 1]]
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-[[http://​patrickjmt.com/​solving-absolute-value-equations-ex-2/​|Absolute value equations--Example 2]]
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-[[http://​patrickjmt.com/​solving-absolute-value-equations-containing-two-absolute-value-expressions-ex-1/​|Eqns with two abs values, Example 1]]
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-[[http://​patrickjmt.com/​solving-absolute-value-equations-containing-two-absolute-value-expressions-ex-2/​|Eqns with two abs values, Example 2]]
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-[[http://​patrickjmt.com/​solving-absolute-value-equations-containing-two-absolute-value-expressions-ex-3/​|Eqns with two abs values, Example 3]]
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-WEEK 9
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-Using my notes {{:​people:​mckenzie:​notes_on_abs_value_equations.pdf|Solving absolute value equations}} along with last set of videos:
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-Do Sec 7.2 p 215 #1, 2, 3, 5 a-h, 7, 8
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-Read Sec 7.3 and view the videos in conjunction with the reading.
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-View [[http://​patrickjmt.com/​solving-linear-absolute-value-equations-and-inequalities/​|Overview:​ Absolute value equations and inequalities]]
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-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-ex-1/​|Abs value inequalities Example 1a]]
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-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-more-ex-1/​|Example 1b]]
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-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-ex-2/​|Example 2a]]
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-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-more-ex-2/​|Example 2b]]
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-[[http://​patrickjmt.com/​solving-absolute-value-inequalities-ex-3/​|Example 3]]
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-8-O {{:​people:​mckenzie:​absolute_value_wrap_up.pdf|Absolute Value Wrap up}} 8-O
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-Heads up: there will be a quiz on Ch 7 and 11 on either Thurs or Fri.
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-View [[http://​patrickjmt.com/​solving-a-linear-system-of-equations-using-elimination-by-addition/​|Solving linear systems by elimination method]]
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-Do Sec 11.1 #1 a b d, 2 a, 4-6 all parts
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-{{:​people:​mckenzie:​math108_quiz7_abs_val_and_systems.pdf|Take home quiz}} handed out today, due tomorrow! The one linked here includes a question 3 b, which I deleted in the handout to fit whole quiz on one page. Tonight'​s reading and videos are topics on the quiz, so you do need to do this 'open book'.
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-Read Sec 11.2 (to help you with the quiz!) ​
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-View [[https://​www.youtube.com/​watch?​v=6oehycq06vo|Solving systems of inequalities]]
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-[[https://​www.youtube.com/​watch?​v=6oehycq06vo|Solving (graphing) systems of inequalities]] ​
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-Do Sec 11.2 #2 a d g h
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-Week 10
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-Do p 348 Sec 10.1 #1, 2, 3 and first three sections of questions on {{:​people:​mckenzie:​solving_exp_and_log_equations.pdf|Solving exp and log equations}}
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-Even more practice on first set of questions on p 5 of {{:​people:​mckenzie:​solving_exponential_equations_including_without_using_log_.pdf|Alternate text pdf}}
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-View [[https://​www.youtube.com/​watch?​v=AAW7WRFBKdw|Properties of logarithmic functions]]
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-Study for short answer quiz based on first three sections of questions on the pdf {{:​people:​mckenzie:​solving_exp_and_log_equations.pdf|Solving exp and log equations}} up through Exercise 6.
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-See this page for  {{:​people:​mckenzie:​solutions_to_solving_exp_and_log_equations.pdf|Solutions to "​Solving exp and log equations"​}}
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-Do Sec 10.2  #1, 2, 3 a-g, 4, 7, 9, 10, 11
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-[[https://​www.youtube.com/​watch?​v=M6f6dANVyxA|3 examples of solving exponential equations]]
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-[[https://​www.youtube.com/​watch?​v=59j0ALU3N7k|Example solving logarithmic equations]]
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-[[https://​www.youtube.com/​watch?​v=qILCTT6wPt4|Another example solving logarithmic equations]]
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-{{:​people:​mckenzie:​exponential_equations_not_requiring_logarithms.pdf|Exponential problems not requiring logarithms}}
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-Continue with problems Sec 10.2 #18, 19 a 20 b 21 a b 22, 23
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-Finish the Sec 10.2 problems (we're caught up now).
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-Read Sec 2.4 and view videos on sigma notation, which I will post soon. Also read my summary of stigma notation and finding finite sums  of a number sequence ​
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-{{:​people:​mckenzie:​sigma_notation_sec_2.1_notes.pdf|Sigma notation notes}}
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-View the following, noting that the lecturer is using '​k'​ for the index rather than '​i'​ (both are common letters for this process):
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-[[https://​www.youtube.com/​watch?​v=QlLTryrpjOU|Sum (sigma) notation]]  ​
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-[[https://​www.youtube.com/​watch?​v=XDQqHMHbpvQ|Sigma (summation) formula properties]]  ​
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-[[https://​www.youtube.com/​watch?​v=4bZbfW5Zr9s|Example of changing upper and lower bounds of a sum]]
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-Here's a nice: [[https://​www.youtube.com/​watch?​v=Y2aK5JcrHh0|Summary of sigma notation]]
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-Again, here are my notes on [[https://​www2.math.binghamton.edu/​lib/​exe/​fetch.php/​people/​mckenzie/​sigma_notation_sec_2.1_notes.pdf|Sigma Notation]]
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-Do p 60 #4 a b e k j l #3 a b c  Solutions are already posted on HW Solutions page for this section.
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-Study for Exam 3. Ch 7, 10, 11, and Sec 2.4 8-O
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-Week 11
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-Begin Trigonometry Unit. Read 8.1 and 8.2 CAREFULLY. ​
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-[[https://​www.youtube.com/​watch?​v=XeI8EOZVwf0|Basic sine and cosine functions]]
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-Weeks 12-16 Trigonometry Unit (HW over the Spring Break)
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-Using the video and examples in the book, do Sec 8.1 p 282 #1-6
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-View AGAIN as needed [[https://​www.youtube.com/​watch?​v=XeI8EOZVwf0|Basic sine and cosine functions]]
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-Do worksheets Trig worksheets:
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-{{:​people:​mckenzie:​angles_and_angle_measure.pdf|Angle measure}}
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-{{:​people:​mckenzie:​coterminal_angles_and_reference_angles.pdf|Coterminal and reference angles}}
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-{{:​people:​mckenzie:​arc_length_and_sector_area.pdf|Arc length and sector area}}
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-Here are videos to help:
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-[[https://​www.youtube.com/​watch?​v=qgGFQXnuszk|Finding a reference angle]]
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-[[https://​www.youtube.com/​watch?​v=DQFa2CJj_No|Finding area of sector]]
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-**Circle art assignment **
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-  * On //unlined// paper (copy paper is good), draw a //nice// circle (use a jar lid or compass, a straight edge for the rays). It should be no less than 6 inches.
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-  * //Neatly// mark off with a //straight edge// and label //​accurately//​ the angles of 0, 30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, 360.
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-  * Next to each degree mark, write the pi radian equivalent, as discussed in class today. ​
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-  * Use different colors to mark off the different fractions of pi. Some colors might overlap. Don't stress on that! Just make the thirds different than the fourths and the sixths.
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-The rest of the project will be explained on Thursday in class:
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-  * In a corner, draw thumbnails of the five triangles. (Two of them look like line segments, the 0 and 90 degree base angle ones.) Label the sides with the appropriate 1,sq rt 3, sq rt 2.
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-  * Next to that, fill in a small table of trig angles and sine, cosine and tangent ratios in quadrant I.
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-Especially important tonight, please view:
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-[[https://​www.youtube.com/​watch?​v=1I7Jp62sGXM|Trick to remember basic trig table]]
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-[[https://​www.youtube.com/​watch?​v=R-vo8tSoFjI|Sign of trig functions in quadrants I, II, III, and IV]]
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-Do Sec 8.2 p 283 #1-10 and Sec 8.3 p 284 #1-5
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-Do worksheet {{:​people:​mckenzie:​exact_trig_values_of_special_angles.pdf|Trig ratios of special angles}}, handed out on Friday.
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-View [[https://​www.youtube.com/​watch?​v=3GgO7Q_kg8Q|Deriving values of the unit circle]] ​
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-Then do make your own Unit Circle, either on the back of your circle art or on another sheet. The radius is 1 unit, so the (x, y) coordinates become (cos theta, sin theta). Fill in the points on the circle (as begun in class). ​
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-Especially important this weekend, view [[https://​www.youtube.com/​watch?​v=p6XJCozpxJs|Finding coordinates of the point on the unit circle where the terminal side of angle theta intersects the circle]]. ​
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-Read Sec 8.4 Do pp 284-285 #1-9.
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-Week 13
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-View [[https://​www.youtube.com/​watch?​v=qQOKUIrcuRs|UNWINDING THE UNIT CIRCLE TO GRAPH TRIG FUNCTIONS]]
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-Read //​thoroughly//​ Sec 8.5.
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-Memorize {{:​people:​mckenzie:​final_trigonometric_function_graphs.pdf|Basic graphs of trigonometric functions}}
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-Know domains and ranges of sine, cosine and tangent functions. Be able to sketch these accurately. ​
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-do Sec 8.5 p 285 #2 a b d #3 a b #4 a b c
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-Have you viewed [[http://​www.mathguide.com/​lessons2/​GraphingTrig.html|Graphing sine and cosine functions]] yet? Do so again before reading {{:​people:​mckenzie:​trigonometric_graphs.pdf|Graphing sine and cosine graphs and their transformations}}
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-Then view the series of videos by Patrick on graphing trigonometric transformations:​
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-[[https://​www.youtube.com/​watch?​v=zjSgkoaL_5A|Transformations of trig graphs 1]]
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-[[https://​www.youtube.com/​watch?​v=80c_F0-7ZxE|Transformations of trig graphs 2]]
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-[[https://​www.youtube.com/​watch?​v=RzZyyIu9IvA|Transformations of trig graphs 3]]
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-[[https://​www.youtube.com/​watch?​v=ijTIr-aykUk|Transformations of trig graphs 4]]
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-{{:​people:​mckenzie:​trigonometry_quiz_2.pdf|Take-home,​ trig quiz 2}}.
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-You may use your unit circles and notes, but not another person.
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-As done in class today, practice drawing small graphs of the following.
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-y = sin x on the closed interval [-pi/2, pi/2]
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-y = cos x on the closed interval [0, pi]
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-y = tan x on the closed interval [-pi/2, pi/2]
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-You've drawn each fcn restricted to the portion of the domain where its inverse is defined, where the function is one-to-one. To the left of each graph, draw its inverse. Notice the x-axis is now the ratio and the y-axis is the angle.
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-View [[https://​www.youtube.com/​watch?​v=bBBUMHe900U|Evaluating trig inverses]]
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-Do Sec 8.6 p 286 #1-6.
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-Week 14
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-More practice on {{:​people:​mckenzie:​inverse_trig_functions_worksheet.pdf|Worksheet on evaluating inverse trig fcns}} Only do #1-30
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-Finish up inverse functions.
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-Read 8.7 and view [[https://​www.youtube.com/​watch?​v=IE8q4WRubC4|Proving a trig identity Example 1]] and [[https://​www.youtube.com/​watch?​v=4QmzqwQSt8A|Proving a trig identity Example 2]]
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-Do p 288 #3 and //pages 1 and 2// of worksheet {{:​people:​mckenzie:​basic_8_identities_worksheet_pp_1-2.pdf|Basic trig identities}}
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-Read Sec 8.8. See two video discussions.
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-[[https://​www.youtube.com/​watch?​v=ZhvvkCa_60w|Angle sum and difference]]
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-Do worksheet {{:​people:​mckenzie:​double_half_angle_identities.pdf|Double and half-angle identities}}
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-Week 15
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-Be sure to do the take-home quizzes for desk checks.
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-Print these for tomorrow:
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-{{:​people:​mckenzie:​nutley_high_school_solving_trig_equations_worksheet.pdf|Solving trig equations}}
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-{{:​people:​mckenzie:​nutley_high_school_solutions_to_solving_trig_equations_worksheet.pdf|Solutions! to trig equations}}
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-Have questions prepared for any and all of the worksheets for me to go over tomorrow (Tuesday).
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-:!: Exam 4 is on Thursday.

people/mckenzie/math_108_hw.1560971804.txt · Last modified: 2019/06/19 15:16 by mckenzie

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