Welcome to Pre-Calculus Honors!
Pre-Calculus HONORS is a DUAL ENROLLMENT class. This course requires students to work hard and exhibit effort and dedication to their studies. Remember to ASK Questions and attend an EXTRA help if needed (after or before school Mon-Thu)
Students who successfully complete this course will earn 5 CPHS credits and 4 College Credits.
THERE WILL BE AN APPLICATION FOR COLLEGE CREDIT during first few weeks of school. MAKE SURE TO APPLY FOR THE COLLEGE CREDIT - IT WILL BE GIVEN ONLY TO STUDENTS WHO WILL SUBMIT an application!!!!
Pre-Calculus Honors will be a rigorous course, but you will succeed if you work hard and actively participate in class. I expect the
best from each and every one of you, and in return, you can expect my best efforts, providing the instruction,
support, and encouragement for any diligent one of you to meet my expectations. I earnestly believe that those who are successful in mathematics can be successful in any subject or discipline. The habits of mind and the required daily discipline developed in learning math are skills that transcend math and the classroom. These are valuable skills that will stay with you the rest of your lives and will help you be successful in many of your future endeavors. You are exceptional, and I know you are destined to do great things.
Please remember to bring your solved SUMMER PACKET on the first day of school
Pre-Calculus HONORS is a DUAL ENROLLMENT class. This course requires students to work hard and exhibit effort and dedication to their studies. Remember to ASK Questions and attend an EXTRA help if needed (after or before school Mon-Thu)
Students who successfully complete this course will earn 5 CPHS credits and 4 College Credits.
THERE WILL BE AN APPLICATION FOR COLLEGE CREDIT during first few weeks of school. MAKE SURE TO APPLY FOR THE COLLEGE CREDIT - IT WILL BE GIVEN ONLY TO STUDENTS WHO WILL SUBMIT an application!!!!
Pre-Calculus Honors will be a rigorous course, but you will succeed if you work hard and actively participate in class. I expect the
best from each and every one of you, and in return, you can expect my best efforts, providing the instruction,
support, and encouragement for any diligent one of you to meet my expectations. I earnestly believe that those who are successful in mathematics can be successful in any subject or discipline. The habits of mind and the required daily discipline developed in learning math are skills that transcend math and the classroom. These are valuable skills that will stay with you the rest of your lives and will help you be successful in many of your future endeavors. You are exceptional, and I know you are destined to do great things.
Please remember to bring your solved SUMMER PACKET on the first day of school
DAILY ASSIGNMENTS: CLASS and HOME WORK
9/7 Welcome!Syllabus.Summer Packets! Course requirements. Textbooks; Homework Policy. 9/10 HW #1Ditto - Precalculus Prerequisites Ch.1 9/12 Summer Packets feedback;Ditto Precalculus Prerequisites Ch2&3 9/13 Go over 9/12 packet; Long Division HW#3 IXL Precalculus A.1 Domain and range A.5 A table for a function graph; Textbook p.19#7-14 Points/Graphs 9/14 REVIEW for the Test on Summer Assignment (exp.equations); SYMMETRY p.20#33-44 HW4 p.15-16 Notes, Ex.5-7;p.19 #15-32 Graphs.X, Y-intercepts; finish CW; study for Test (Summer P.) 9/17 Good Luck on your TEST! HW5-ditto Domain and Range 9/18 Ch.1.3 Linear Functions p.30 Ex.8; Review p.22-27 Ex.1-4;HW6 p.31 #9-13 IXL Precalc. A.7Graph a linear function;A.8 Write the eq. of a line 9/19 Go over HW5&6; Ditto-Domain/Range 9/20 Functions 1.4 p.35-40 Ex.1-7;p.44#11-18 HW7 p.45#47-56 9/21 KS ditto Domain/Range, Piece-wise functions HW8 p.45#34-45 KhanAcademy DETERMINING THE DOMAIN 9/24 Quiz- Functions/Domain/Range HW- WORK on SP TEST mistakes; Study Guide WS 9/25 Collect 9/21 CW/HW IXL ALGEBRA D.1Domain and rangeD.2Identify f. HW - IXL PRECALCULUS PC-G.1 Domain and range D.1 polynomials' long division 9/26 Do Now - p.44 #5-8 p.45#47-54 p.48#89-90 Domain;Rate of Change; p.43 Ex.11, Summary; p.48#73-76 HW10 - p.49-51 Functions and their Graphs Ex.1-3;Checkpoints for Ex.1-3 9/27 Domain, Zero of Function; Graphs p.56#7--29 HW11 p.106#7-14 Graphs on Graph Paper ONLY 9/28 - IXL PC K.1Graph solutions to quadratic inequalities K.2Solve quadratic inequalities 10/1 Increasing Decreasing Odd/Even Functions;Max/Min p.52-55 Ex.4-8 p.56-57#30-64 10/2 IXL PC A.10Average rate of change;A.9 Linear functions over unit intervals 10/3 Halloween Project; Ch1.6 Parent Functions p.60-64 Ex.1-3; p.65#11-12; 17-26; 35-40 Even/Odd Review p.58#71-74,77-81 HW - finish CW 10/5 1.7 Transformations of Functions p.67-71 Ex.1-5 p.73#21-38;Khan Academy -Shifting functions; Stretching functions videos;practice Halloween Project 10/9 Go over p.73#21-38; BW-p.74#48-50 IXL PC B.1 Function transformation rules 10/11 Textbook p.106-107 REVIEW #29- 37;39-40; #43-51;#63-68 WILL BE COLLECTED TOMORROW 10/12 IXL B.2Translations of functions B.3Reflections 10/15 YALE University trip BE ON TIME - 6:50 AM R111; we leave at 7AM ! You are responsible for all assigned work (all subjects) p.108#71-76;p.109#7-15 Quiz-Wed 10/16 Combination of Functions Ch 1.8 p.76-79 Ex.1-6 p.81#1-24 MATH FAIR at William Paterson University - November 16, FRIDAY!!! Projects due 10/24 10/17 Composite Functions p.81#29-42 10/15 work (p.108#71-76;p.109#7-15) will be collected ; Review for a Quiz (see below Ch1 Rerview doc) p.107#57-58,#70 ; p.109#17-20 10/18 IXL A.11Add, subtract, multiply, divide functions A.12Composition of functions 10/19 Ch.1.9 Inverse Function Class Notes; p.90#15-21 HW p.84-89 Ex.1-7,Checkpoints 1-7 p.90 #1-14 Inverse Function Class Notes; 10/22 IXL A.13 inverse functions; Hand in ALL work for a full credit!p.90#31-32 BW ; HW p.90#22-34 10/23 Hand in all work for IXL A15 Find values of inverse functions from graphs A.16 inverse functions 10/24 Quiz 1.8-1.9 HW p.91#71-78, p.95-97 Direct and Inverse Variation Definitions, Ex.3-5;checkpoints 3-5 10/25 Ch.2.1 PARABOLAS INTRO; QUADRATIC FACTORED FORM; SOLVING QUADRATICS BY TAKING SQUARE ROOTS HW Review for a Test Ch.1 (p.109 #1-23)p.111#8-9 QUADRATIC VERTEX FORM -tutorials, Practice 10/26 Project ; IXLC.1 a quadratic function C.2Characteristics of quadratic functions 10/29 Test Ch1 No HW tonight 10/30 Finish Test; 10/31 IXLC.5Solve a quadratic equation using square rootsC.6Solve a quadratic 11/1Ch.2.1 Quadratics p.114-119 Ex.1-5, check Points 1-5;p.121#63-70 quadratic word Problems;Khan Academy due MONDAY (links below) QUADRATIC STANDARD FORM FEATURES & FORMS OF QUADRATICS TRANSFORMING PARABOLAS 11/2 IXL C.8 the quadratic formula C.9Using the discriminant 11/5 and 11/7 Graph paper - parabolas p.120#5-25 IXL D.4Find the roots of factored polynomials Khan Academy link below:MATH FAIR QUADRATIC INEQUALITIES 11/12 -13 Quadratics Ditto p.121 #47-53 p.122#71-74 QuarterlyExam - Wed 11/14 (see review doc below) 11/14 Good Luck on your Test ! NO HW tonight 11/15 Alg Review- IXL G.1Domain and range of radical functionsG.2Solve radical equations HAND in WORK!!! 11/16 MATH FAIR -TRIP IS CANCELLED 11/19 Ch.2.2 Polynomials p.132#9-14; p.123-129 Ex.1-5, checkpoints. Tutorials-> 11/20 p.132-133 #15-28 all Graphs on GRAPH paper! Check with Graphing Calc. or DESMOS IXL D. 5Write a polynomial from its roots hand in work! 11/21 Donald in Math Magic World 11/26 Graphing Calc.or Desmos -P.133 #33-70;Long and Synthetic polynomials' division; The Remainder and Factor Theorems HW p.138-141 Ex.1-6,checkpoints 1-6;p.142#15-22 p.142#26-46 DUE WEDNESDAY 11/27 The intermediate value theorem p.130-131 NOTES, Ex.6,Checkpoint IXL D1 -D.2 Divide polynomials using long & synthetic division Hand in WORK! 11/28 Quiz ; Remainder and Factor Theorems Review p.143 #45-61 ODD 11/29-30Repeated Division of Polyn. p.143#63-68 Khan Academy Complex conjugates and dividing complex numbers p.145-149 Ex.1-6; p.150-151 #7-71 odd 12/3 Complex numbers p.150-151 #50-86 EVEN CCSS Math: HSA.REI.B.4, , HSA.SSE.B.3, HSA.SSE.B.3a,b HSF.IF.B.4, HSF.IF.C.8, 12/4 Fundamental theorem of Algebra p.152 Notes;Ex.1, checkpoint; Conjugate Pairs;Factoring Polynomial p.156-157 Notes, Ex.6-8, checkpoints; IXL D.11 Match polynomials and graphs D.7Complex conjugate theorem 12/5 The Rational Zero Test p.153-158 Ex.2-9 p.163#29-40 12/6 D.6Rational root theorem D.14-D15 Factor using a quadratic pattern 12/7 Descartes Rule of Signs p.159, p.164 #79-82; P.164 #91-98 Rational Root Theorem Practice; 12/10 Ch.2.6 Rational function;V/H asymptotes p.166-168 Ex.1-2 p.175#5-16 12/11 Polynomials' Test -Wed. p.163#41-45;51-71 p.190-191 #23-47 ODD 12/12 Ditto-Prep for a Test 12/13 Good Luck on your Test! HW -IXL E.1Rational functions: asymptotes 12/14 Rational f-s p.175#17-42; go over 12/10 work 12/17 Slant Asymptotes p.172 Ex.7;p.176#43-64 12/18 POLYNOMIAL Inequalities p.178-181 Ex.1-4, checkpoints; p.185#13-37 12/19 Rational Inequalities p.182 Ex.5 p.185#38-52 ; Quiz- tomorrow 12/20 Short Quiz - Rational Functions (7prb) IXL E.2 Solve rational equations -finish for HW 01/02 Happy healthy 2019!Ch.2 Review p.184 Ex.7;p.192#1-18 Finish for HW pls! 01/03 Ch.3 Exp.functions p.206#13-16;25-28;45-48 HW p.198-202 Ex.1-7, checkpoints 1-7; finish CW 01/04 IXL F.3Solve exponential equations HW p.203-205Notes,Ex.8-9, Checkpoint 8-9 Compound Interest 01/07 Logarithmic Functions p.209-210 Ex.1-4, checkpoints 1-4. P.216 #7-20 01/08 F.4Evaluate logs F.2Convert between exp and log form HW p.216#25-32 01/09 Properties of Logs 3.3 p.219-221 Ex.1-6;checkpoints 1-6; p.223 #13-32;#41-52 Quiz-Fri 01/10 p.224 #61-78 Change of base formula p.225#97-99 01/11 Review for Quiz Packet . BW. Ask questions! 01/14 Quiz-Fri IXL F.5Change of base formula F.6Product property F.7Quotient property of logs 01/15 Review for Quiz- p.250#13-16 p.251#59-78 01/16 IXL F9 logarithms using properties 01/17 Logarithmic Equations KS Ditto 01/18 HW K.Academy Solving exponential equations with logarithms Alg2 Review; p.226--228 Ex.1-5,checkpoints 01/22 Ch.3.4Solving Exp. Eq using Logs p.233#21-42 BW Ex.2-4,8-9 Laws of Logs and Log Eq. QUIZ 01/23 Finish Quiz; Go over 1/22 work; IXL F.10 Solve exp eq. using logarithms 01/24 Review for Ch.3 Test-tomorrow. p.250-251 #37-44;81-90; HAND in 1/15 CW;IXL F.12Solve logarithmic equations with multiple logarithms 01/25 Good Luck on your Ch.3 Test. No HW today:) 01/28 NYC Workshop; IXL F.11 Log equations F.8 Power property of logarithms- 01/29 Ch.4.1 p.260-263 Ex.1-4, checkpoints Click the Link K.Academy: 1)Introduction to radians 2)Intro to the trigonometric ratios;3)Solving for a side 4) Modeling with right triangles Tutorials, Practice 01/30 Radians and Degree Notes p.267-268 #12-38 Even HW #11-37 odd 01/31 IXL M.1 Convert between radians and degrees M.3Quadrants 2/1 Ch.4.3 Triangular Trigonometry p.284#15-27 ODD HW p.277-283 Ex.1-10 Checkpoints 1-10; Formulas ->Index Cards 2/4 Using Trig.Identities p.280-281 Ex.7 p.285#37-54 2/5 Sketch Angles p.340#1-10 IXL M.5 Trig ratios - right triangles O.1 Complementary angle identities Quiz - 4.1& 4.3-tomorrow 2/6 Quiz 4.1 ; Review ditto- Crossword 2/7 Ch.4.2 The unit circle definition of sine, cosine, and tangent K.Academy p.270-271,273 (domain, Periodic, Even/odd Trig F-s);Ch.4.4 Trig F-s of any angle; Reference Angles p.288-293 EX.1-6 Checkpoints; 2/8 Evaluating Trig Functions p.294#10-32 Even; HW p.294#9-31 odd K.Academy The graphs of sine, cosine, and tangent 2/11 Reference Angle p.294#37-68 (even - CW, odd- for Home Work). 2/13 Basic trig identities K.Academy p.294#69-74 IXL O.3 Trigonometric identities I 2/14 DO now-Ex.1-5 see Trig Quiz Prep PDF below; Ditto-matching Game Trig Identities. QUIZ 4.1-4.4 -Friday HW-p.295#75-96 2/15 QUIZ 4.1-4.4 IXL M.4 Coterminal and ref.angles 2/20 IXL O.4 Trigonometric identities II 2/21 Ch.5.1 Using Fundamental identities p.348-351 Ex.1-5 check points;p.353#1-22 2/22 Ch.5.1 p.353#23-50 (even - CW, odd - for HW) Quiz Trig Identity - Monday 2/25 Quiz (use your INDEX cards with Formulas) TRIG Identities Worksheet 2/26 Ch.5.2 Verifying Trig Identities p.356-359 Ex.1-7Checkpoints 1-7 p.360#3-19 2/27 Ch.5.2 Ditto 32prb will be collected;p.360 #20-30 2/28 Hand in 2/26-27 W; Ditto - Trig Identities Secret Message; p.360#31-42 3/1 QUIZ -Trig Identities 3/5 IXL M.6 Trig ratios using the unit circle 3/6 Inverse Trig functions; REVIEW IXL M.7 Find trig ratios using reference angles 3/7 Simplifying Trig Expressions Quiz; HW p.319 Ex.1, Checkpoint 1;p.320-321 Def., Ex.3-4, checkpoints 3-4; p.324#5-18;21-36;p.327#106-109; 115-120 (BW) 3/8 Inverse Trig IXL M.8Inverses of trig func. 3/11Solving Trig Eq. 5.3p.362-367 Ex.1-8, Check points 1-8;p.370#5-25 ODD 3/12 Solving Trig Eq.Ch. 5.3 p. 370#6-46 EVEN 3/13 HAND IN 3/11-3/12 CW/HW p. 370#27-47 ODD; NO HOMEWORK 3/14 Happy Pi Day:)! p.371 #49-58 (DESMOS);59-69 QUIZ 5.3- Monday 3/15 IXL M9 Trigonometric equations;p.371 #71-74 p.392#33-42 QUIZ 5.3- Monday 3/18 Good Luck on your Quiz! HW p.361#43-44;51-54 p.361 #45-49 c only 3/20 Quiz ReTake (easy version); K. A. -links below Solving basic sinusoidal equations; Solving advanced sinusoidal equations 3/21 Ch.5.4 Sum and Diff. F-s p.374-377 Ex.1-8, check points 1-8 p.378#1-10 3/22 Ch.5.4 Sum and Diff. Formulas p.378#11-40 3/25-26Ditto Sum/Difference Identities 21prb Q-Wed 3/27 Alg Review game 3/28 Quiz Sum/Difference Trig Identities 3/29 Open links below to complete assignments C.6Find trigonometric ratios using reference angles C.7Inverses of trigonometric functions 4/1 Open links below, create free Khan Academy account. Make sure you're signed in while listening to tutorials and completing practice on the following topics: Trig word problem: complementary angles law of sines (whole Unit - 3 tutorials and Practice) law of cosines ( 3 tutorials and Practice) 4/2 Double Angle Formulas p.381-382 Ex.1-2, checkpoints 1-2;Power reducing and Half-Angle F-s p.383-384 Ex.4-5,checkpoints 4-5;p.388#15-22 4/3 Double/Half Angles F-s; go over HW; WS + Answers;p.388#23-24;35-36;41-44 4/4 Double/Half Angles F-s WS with Answers; 4/5 Review Ch.5 p.384 Ex.6,Checkpoint 6;p.393#63-65; 67-74 4/8 Review Ch.5 Test p.394#1-16 4/9 Review Ch.5 Khan Academy -2 Links Below p.394#1-16 OMIT #11 Introduction to the trigonometric angle addition identities Using trigonometric identities to solve problems TEST ch.5-4/15 4/10 Review Jeopardy Game Finish all 4/9 assignments 4/11 Go over p.394#1-16; Law of Sines Ch.6.1 p.400-403 Ex.1-5, Check Points 1-5 Test Ch.5 - Monday 4/12 Law of Sin;AREA of triangle p.404 Ex.6 p.406 #5-8, #23-31 4/15 Test Chapter 5 Good Luck! 4/16 IXL M.13 Law of Sines 4/17 Law of Sines @ Law of Cosines Applications class discussion p.405 Ex.7, checkpoint 7; p.409 Ex.1-4, checkpoints 1-4 NO HOMEWORK !!! 4/18 IXL M.14 Law of Cosines. ENJOY YOUR SPRING BREAK! 4/29 Welcome back!!! M.15Solve Triangles Review Law of Sin/Cos 4/30 REVIEW Law of Cosines p.413#5-18 IXL M.16 Area of a triangle: sine F. 5/1 Ch.7.1 Linear and Non-Linear Systems of Eq.p.468-472 Ex.1-5; Checkpoints 1-5; Non-mandatory Ditto - prep. for Quiz Laws of Sin&Cos- Problems with ans. 5/2 -QUIZ Good Luck!HW p.475#5-12 5/3 I.1 System of equations by graphing I.6System of equations using elimination 5/6 Using Graphing Calc. Non-linear Systems p.476#29-43 5/7 Linear Systems 7.2 No solution or Infinitely Many solutions p.483 Ex.6-7, check Und 6-7 p.486#19-29 5/8 Non-linear systems of equations p.476 #44-54 5/9 Word Problems systems of equations p.474 Ex.7, check p.7 p.484 Ex.8,CP 8; IXL I.7 System of eq. by elimin.: word problems 5/10 P.477#63-64; p.487#41-43 Word Prb. Quiz 7.1-7.2- Thursday 5/16 5/13 IXL I.2Solve a system of equations by graphing: word problem 5/16-17 Kahoot Game Review; EDU videos understanding Math 5/20 Solving Systems of inequalities p.510-511 Ex.1-3;p.513 -14 Ex.5-7, check points 1-3, 5-7; p.517 #1-14 DUE WEDNESDAY 5/21 Inequalities using technology (DESMOS) p.517#15-24;45-48 5/22 IXL J.1Systems of linear inequalities by graphing J.2Solve systems of linear and abs value inequalities by graphing 5/23 Intro to Calculus. LIMITS Ch.12.1 p.818-821 Ex.1-7, check Und.1-7 5/29 LIMITS Ch.12.1 p.822-825 Ex.9-10, check points 9-10;p.826-827#5-22 5/30IXL Calculus Intro to Limits E.1Find limits using graphs 5/31 LIMITS p.828#50-64 Direct Sub.; Rationalizing technique p.829-834 Ex.1-8; Checkpoints 1-8 p.837#5-12 6/3 LIMITS p.835-6Ex.9-10 Checkp-s 9-10; Special Trig Limit p.837#13-20;35-38 6/4 Approximating Limits Graphically p.837 #21-30; algebraically #31-34 6/5 -6/6 Ch.7 Review p.535 #1-7;15-17; Khan Academy - assignments are posted at our K.A. classroom 6/7 IXL E.2 Find one-sided limits using graphs E.3 Determine if a limit exists 6/10 IXLF1 Limits using add., subtr., and multiplication laws F.2 limits using the division Limits Review p.868 #1-10 6/11 IXL F.3Find limits using power and root laws F.4Find limits using limit laws Textbooks will be collected tomorrow 6/12 -13 Worksheets Limits KS 6/14 IXL F.5Find limits of polynomials and rational functions F.6Find limits involving factorization and rationalization
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TUTORIAL/NOTES for CHAPTER 2
Golden Ratio 3 min TED ! Applications of Quadratics Tutorial 2.1 Quadratics Applications NOTES 2.1 Parabolas in Real life 2.2 Tutorial Polynomials Detailed 19m 2.2 Pol. GRAPH END behavior 11min 2.2 Analyzing Polynomial Graphs 10 2.2 Determine Degree of Polynomial from Graph 3min 2.2 SKETCHING Polynomials 16min 2.2 On-Line Assignment Graphing Polynomials Long Division of Polynomials 14m Synthetic division 13m 2.3 Rational Zero Theorem 2.3 Remainder Factor Theorem Remainder Factor Theorem Tutorial 7m Polynomial Long Division 5 Rational Theorem 6m 2.4 Rationalizing Complex number Denominator Tutorial 2.4 Division & Multiplication of Complex Numbers Tutorial 2.6 Rational Functions 6 min 2.6 Asymptotes Holes .Polygonal Numbers Notes Rationalizing Complex number Denominator Tutorials for Chapter 3: 1. a) Introduction of Exponential functions 17 min b) Great video on Solving simple Exp.Equations 13min Flash Cards Exponents Review; 2. Exponential GROWTH in Real World - 9min b) Solving Exponential Equations 4min c)2min Exponential fun. and Earthquakes 3. a)Natural base e 7min Understanding simple and Compound Interests(1 min); Compound Interest Formula (4min) b) Continuously compounded Interest 4min 4 a). Introduction to logarithms 7min b). Graphs of Exponential and Logarithmic functions 6min 5. The properties of Log 10min Part 1; The Properties of Logarithms Part 2- 6 min Applications of Logs 12min 6. a) Simple Logarithmic equations 6min b)Solving Logarithmic Equations 7min Equations that Rule the world 3 Laws of Log SONG 3 min History of Logarithms 1 min History of Log Song 2minCh.1.1 Review PPT Slopes in Real Life PPT Algebra Review Game.DESMOS sliders Jeopardy Algebra Rev; Functions Radian and Degree Ch.2.2 Polynomials and their graphs Factoring Polynomials all methods Tutorial . Khan Academy Alg2 :Exponential and Logarithms:1) Intro to Logarithms ;2) The Constant e and Natural Logarithm 3) Properties of logs (tutorials, Practice, Quiz) KhanAcademy ALGEBRA II TRIGONOMETRY:1)Intro to radians 2) unit circle;3)graphs of sin, cos;4)Basic trig iden Hand Trick to memorize trig values 5min |