## Below are the posts from the 2018-2019 school year.

Welcome! Lesson details for each day are described below. I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore.

### Semester 2 Tentative Schedule: PCSemester2Schedule

# Course Feedback – Course Evaluation

# Calculus Preview

Day 2: Examine Limits using a table of values. Warm-up: PC9-2WarmUp

Day 1: Examine Limits Graphically

# Final Exam – Semester 2

**Review:** 2ndSemesterFinalReview **Review Key:** 2ndSemesterFinalReviewKEY

### Final Exam Schedule:

**B-Day –** Part 1 of the Final Exam is Tuesday, May 28th. Part 2 is Thursday, May 30th.

**A-Day – ** Part 1 of the Final Exam is Wednesday, May 29th. Part 2 is Friday, May 31st.

Following the final exam, all non-seniors will be get feedback on their final. The remainder of the year will be a preview of Calculus lessons and ideas.

# Chapter 8:** Conic Sections/Polar Coordinates**

This unit will be touched upon while AP tests are occurring. No homework during this time.

Day 74: **May 13th/14th.** Objective: Students will analyze parametric equations graphically and algebraically. **Notes:** PC8-3Notes **Notes Key:** PC8-3NotesKey **Practice Problems:** PC8-3EllipsePractice

Day 72 – 73. Notes** on Conic Sections:** PC8-2NotesStudentCopy **Conic Sections Practice:** PC8-2PracticeProblems

# Chapter 7: Vectors

Day 71: **April 26th/29th. **Objective: Students will review unit concepts to prepare for an individual test next class. **Review: **PC7-Review **KEY:** PC7-ReviewKEY

Day 69 and 70: **April 22nd – 25th. **Smarter-Balanced Testing for Juniors in room SS220. **Practice Problems on Vectors:** PC7-PracticeReview **KEY:** PC7-PracticeReviewKEY

Day 68: **April 18th/19th. **Objective: Students will solve applied vector problems. **Homework:** p. 628** **#89 and #90.

Day 67: **April 16th/17th. **Objective: Students will solve applied mathematics problems using vectors. **Class Review/Practice:** PC7-3TableGroupPracticeReview **Homework:** p. 628 #’s 77 and #78.

Day 66: **April 12th/15th. **Objective: Students will find the unit vector in the same direction as another given vector. Students will find the direction angle of a vector, as well as its component form. **Homework: **p. 627 #’s 50, 51, 52, 60, 61, 62, 68, 69, and 70.

Day 65: **April 10th/11th. **Objective: Students will define vectors and learn various notation for working with vectors. **Homework: **If you haven’t already, read and take notes on pages 616 to 620. *Complete the problems on page 626 #’s 3-8, 15, 16, 31, 32, 35, 36, and 37.*

# Chapter 6: Applications of Trigonometric Functions

Day 64: **April 5th/9th:** Objective: Students will work collaboratively in order to complete a group portion of a test. Students will work independently in order to complete an individual portion of a test. **Homework:** TBD

Day 63: **April 3rd/4th: **Objective: Students will persevere in problem solving in order to prepare for a test. **Review Answer Key:** PC6-ReviewKey **Homework:** Study the review as well as the PC6-5GroupPractice.

Day 62:** April 1st/2nd:** Objective: Students will draw diagrams to assist in solving elementary vector problems.**Notes:** PC6-5Notes **Class Practice:** PC6-5GroupPractice**Homework:** Complete at least the front of the unit review: PC6-Review

Day 61: **March 21st/22nd:** Objective: Students will select the correct mathematical tool to solve application problems. **Notes: PC6-4Notes** **Homework:** p. 552 # 41 (draw the diagram, show work, answer the question in a complete sentence)

Day 60: **March 19th/20th: **Objective: Students will apply various trigonometric laws and theorems in order to solve word problems. **Homework:** p. 560 # 46 (draw the diagram, show work, answer each piece of the problem)

Day 59: **March 14th/15th:** Objective: Students will apply the law of cosines to non-right triangles. **Homework:** G 7-5 Law of Cosines and Sines

Day 58: **March 12th/13th:** Objective: Students will apply the law of sines to non-right triangles.**Class Notes 2:** PC6-1DiagramNotes** Class Notes 2:** PC6-1Notes **Homework:** G 7-4 Law of Sines

# Chapter 5: Analytic Trigonometry

Day 56: **March 8th/11th. **Objective: Students will complete an individual test. **Preparation includes the Review, Group Test, Homework, Class Work, and Daily Quizzes. Use all of them to prepare. **

Day 56: **March 7th. **Objective: Students will complete a unit review.

Day 55: **March 5th/6th. **Objective: Students will complete a group test and a review. **Group Test: **PC5-GroupTest **Review:** PC5-Review **Review Key:** PC5-ReviewKey

Day 54: **March 1st/4th. Objective: **Students will use half-angle formulas to find the exact value of the expression. **Video:** Half-Angle Formulas. More Notes:** PC5-5NotesKey PowerPoint Notes:** PC5-5HalfAngle **Homework:** p. 518 #’s 20, 21, 26, 27. Study for the group test on Tuesday.

Day 53: **Period 5:** Homework due on Monday March 4th: p. 518 #’s 1,4,5,6. #’s 7 and #8 (part’s A,B, and E only).**Sneak Preview of the Group Test:** PC5-GroupTest **Period 1,2,3: **Homework due Friday March 1st is still p. 518 #’s 1,4,5,6. #’s 7 and #8 (part’s A,B, and E only).

Day 52: **February 25th (Monday)/26th (Tuesday)/28th (Thursday). **Objective: Students will apply double angle formulas to various situations.**Skill Builder: **PC5-4SkillBuilder **Skill Builder Answer Key:** SkillBuilderKey **Class Practice: PC5-4A Notes from Class Practice: PC5-4AKey ****Homework:** p. 518 #’s 1,4,5,6. #’s 7 and #8 (part’s A,B, and E only).

Day 51: **February 21st/22nd. **Objective: Students will apply the sum and difference formulas to various situations. **Notes:** PC5-4 **(includes tangent example)** **Homework:** p. 508 #’s 37 and #75. **Period 5 ONLY: **I know most of you were taking the ACT last class. You need to examine the PC5-4 notes as well as the video from YouTube about Sum and Difference Formulas. Use that to complete the document PC5-3A. For homework you will complete the assignment listed on Feb. 19th/20th below. There is also an older video from YouTube you can watch to help you.

Day 50: **February 19th/20th.** Objective: Students will use sum and difference formulas to evaluate trigonometric expressions. **Notes(PowerPoint):** PC5-3Slides **Homework:** p. 508#’s 5,6,7,8,19,23, and 27 (5th period will have an extension on this assignment)

Day 49 **February 14th/15th. **Objective: Students will solve trigonometric equations using factoring and identities. **Assignment:** PC5-2B **Notes:** PC5-2Notes2 **Homework: **p. 497 #’s 28, 29, and 30. p. 487 #’s 11, 17, and 64. Bonus problem for an extra stamp: p. 487 # 109.

Day 48: **February 12th/13th. **Objective: Students will solve trigonometric equations for solutions on an interval. **Notes:** PC5-2Notes **Assignment/Homework:** PC5-2A **YouTube video: **Solving Trig Equations

Day 47: **February 8th/11th. **Objective: Students will establish trigonometric identities. **Homework:** p. 497 #’s 19-27.

Day 46: **February 6th/7th. **Objective: Students will establish trigonometric identities. **Homework:** Study for re-test in class.

Day 45: **February 4th/5th. **Objective: Students will establish trigonometric identities. **Homework:** Your new textbook starts section 6.4 on page 491. First, I want you to add the Even-Odd identities on page 492 into your notes. Second, complete the practice problems on page 496 #’s 1-14. Make sure to copy down the entire problem in order to receive full credit. Do not simply write “true” or “false” for problems 1 and 2.

Day 44: **January 31st/February 1st. **Objective: Students will provide feedback as to how they would handle a scenario via a google form. Students will simplify trigonometric expressions. **Survey Form: **Use this link to provide feedback based on the scenario. You are welcome to spend about 15 minutes on this if needed. Please don’t write one word answers – take your time and think about what you would do. Student Success Form **Homework:** PC5-1Assignment (Just do the front) Hint: Use the notes to match the functions up with the various identities. Make sure you try each one. 5th period – Sorry I’m not there, but just try your best today. We will go over this Tuesday. Don’t forget about your group test corrections!

# Unit 4 – Trigonometry and the Unit Circle

Day 43: **January 29th/30th. **Objective: Students will prove their knowledge by completing an individual test. **Homework:** Bring your student ID to class so we can check out our new textbook!

Day 42: **January 25th/28th. **Objective: Students will prove their knowledge by completing a group test. **Homework:** Complete the PC 4 – Review **Review Key:** PC-4 Review Key and study for the individual test next class.

Day 41: **January 23rd/24th. **Objective: Students will find the inverse of a trigonometric function. **Course Survey:** Semester 1 Survey** Notes:** PC4-6 Notes 1 of 2 PC 4-6 Notes 2 of 2 **Homework:** PC 4-6 Inverse. Also, check out this STEM opportunity.

Day 40: **January 16th/17th/18th**. Objective: Students will locate zeros on a graph. PC 4-5 Notes From Class **Hom****ework:** PC 4-5 Practice Problems

Day 39: **January 15th. **Objective: Students will review trigonometry. **Skinny Day! All 8 periods today**

Day 38: **January 11th/14th.** Objective: Students will graph one cycle of a trigonometric function. **Notes:** PC 4-4 Notes **Practice Problems:** PC4-4 Practice **Homework:** p. 450 #’s 1-9 odd, #’s 21-26, #’s 43- 46 (you may just graph #’s 43-46, don’t worry about the “steps” for them).

**Answer Keys (Due to popular demand)**

** **PC4-3 Front PC 4-3 Back

##### PC 4-4 Front PC 4-4 Back

Day 37: **January 9th/10th.** Objective: Students will draw reference triangles and determine the quadrants given a trigonometric function. **Notes:** PC 4-3 Notes **Homework:** p 429#’s 1-7 odd, 17, 19, 25, 29. #’s 33 – 39 odd.

Day 36: **January 7th/8th. **Objective: Students will draw reference triangles to define the value of the six trigonometric functions. **Counting to Pi: **Count to Pi **Notes:** pc4-2notes **Homework:** p. 417 #’s 1-9 odd, #’s 33, 37, 41, 45, 47, 53, and 57.

Day 35: **January 3rd/4th. **Objective: Students will convert between radian and degree angle measure. Students will recognize patterns in the unit circle.**Notes:** PC4-1Notes2 **Skill Builder: **PC4-1Skillbuilder **Homework: **p 404 #’s 3-39 odd, 57, 61, 69 and 75. Finish the Unit Circle!

# First Semester Final Exams

**A-Days: Monday – Final Part 1 Wednesday – Final Part 2**

**B-Days: Tuesday – Final Part 1 Wednesday – Final Part 2**

Day 34: **December 10/11/12/13: **Objective: Students will prove their knowledge by completing a final exam. **Homework:** Have a safe and restful winter break. When we return we will start Trigonometry!

Day 33: **December 6th/7th. **Objective: Students will prepare for their final exam. **Homework:** Study. PC-FinalSemester1-Glue IN (What to study)

Day 32: **December 4th/5th. **Objective: Students will identify learning targets that will be assessed on the final exam. Students will review material from final exam learning targets. **Study Guide:** Math 111 Study Guide. **Answer Key:** Math 111 Answer Key **Homework:** PC-1stSemesterReviewProblems **Review KEY:** PC-1stSemesterReviewProblemsKEY

# Chapter 3: Exponentials and Logarithms

**Group Test: **Wednesday/Thursday **Individual Test: **Friday/Monday

Day 31: **November 30th/December 3rd. **Objective: Students will complete an individual test. **Homework:** Start reviewing for the final – math_111_final_exam_review. (you don’t need to complete the whole thing! Work on it for about 30 – 45 min)

Day 30: **November 28th/29th.** Objective: Students will complete a group test. **Homework:** Study for the individual test.

Day 29: **November 26th/27th. **Objective: Students will interpret logistic growth models using a graphing utility. **Notes:** PC3-4Notes **In-Class Practice:** PC3-4PracticeProblems **Review Key:** PC3-ReviewKey **Homework:** PC3-Review

Day 28: **November 15th/16th. **Objective: Students will apply growth and decay models to real world problems. **Notes:** PC3-3Notes **Practice Problems from this class:** PC3-3GroupPractice **New Video on Carbon-Dating: Exponential Decay (Carbon Dating) Video Second New Video on Population Growth:** **Exponential Growth** **Homework:** p. 367 #’s 1, 2, 3, 9, and 11.

Day 27: **November 13th/14th. **Objective: Students will calculate the future value of a lump sum of money as well as the time required to double or triple an investment. **Notes:** PC3-2Notes(Part1) **and** PC3-2Notes(Part2) **Homework:** PC3-2InterestPracticeProblems

Day 26: **November 8th/9th. **Objective: Students will determine the domain of a logarithmic function. Students will apply properties of logarithms to solve for x. **Notes:** PC3-1Notes **Students that need extra practice: **Do the homework, but also complete #’s 2, 4, 6, 12, and 49 too. **Homework: ** p. 349 #’s 1, 3, 7, 9, 13, 15, 21, 52.

# Chapter 2: Polynomials and Rational Functions

#### Scheduled Testing Day’s: A-Day: 11/6 B-Day: 11/7

Day 25: **November 6th/7th. **Objective: Students will prove their knowledge by completing a chapter test. **Homework:** 1) Preview the next unit by completing PC3-0Homework 2) Watch Circle of Logs Video

Day 24: **November 2nd/5th. **Objective: Students will review for a chapter test. **Review:** PC2-Review **Review Key:** PC2-ReviewKEY **Homework:** Prepare for our unit test next class!

Day 23: **October 31st/November 1st.** Objective: Students will analyze rational function graphs in order to write a possible equation of the rational function. **Warm-Up:** Complete this survey Quarter 1 Survey **Homework: PC2-7Homework**

Day 22: **October 26th/30th. **Objective: Students will find horizontal and oblique asymptotes of rational functions in addition to any points of intersection with horizontal/oblique asymptotes and the graph of the rational function. **Notes:** PC2-6Notes **Notes Key: **Front – PC2-6NotesKeyFRONT back – PC2-6NotesKey **Homework:** PC 2-6 Homework

Day 21: **October 24th/25th. **Objective: Students will identify x and y-intercepts, vertical asymptotes, and holes in the graph of a rational function. **Notes/Practice:** PC2-5Notes **Notes Key:** PC2-5NotesKey(part1) (front) PC2-5NotesKeyBack(part1) and PC2-5NotesKey(part2) **Homework:** Read pages 231-235. Copy all of example 7 on page 235. Complete the PC2-5 Practice Problems Page 243 complete #’s 11-16 all

Day 20: **October 22nd/23rd. **Objective: Students will apply Descartes Rule of Signs to determine the number of positive, negative, and imaginary zeros of a polynomial. Students will apply the Rational Zeros Theorem to a polynomial to determine the potential rational zeros. **Notes/Practice: PC2-4Notes** **Notes Key:** PC2-4DescartesNotes and PC2-4RationalZerosNotes **Homework:** p. 264 #’s 11-17 odd, 23-29 odd, 61 and 63.

Day 19: **October 18th/19th.** Objective: Students will use complex roots to write the equation of a polynomial in standard form. **Notes:** Part 2 of PC2-2Notes **Notes Key:** PC2-2Part2NotesKey **Class Practice: **Part 2 of PC2-2PracticeClasswork **Homework:** p. 279 #’s 1-9 odd, #’s 11-15 odd, #’s 17-23 odd.

Day 18: **October 16th/17th.** Objective: Students will write the equation of a polynomial given the roots and the degree of the polynomial.**Warm-Up:** PC2-2WarmUpKey **Notes:** Part 1 of PC2-2Notes **Notes Key:** PC2-2Part1NotesKey **Class Practice: **Part 1 of PC2-2PracticeClasswork **Homework:** p. 224 #’s 1-9 all, #’s 11-19 odd, #’s 57, 58, and 59.

Day 17: **October 11th/15th. **Objective: Students will construct polynomials from roots. **Notes:** PC2-1Notes **Class Practice**:PC2-1(a) **Homework:** p. 263 #’s 1-8 all. The Factor Theorem uses the same skill you had for homework last class. In problem #1, use c=2 to write the factor (x-2) to see how f(x) can be fully factored or not. Try each problem. Ch3PCBook

# Chapter 1 – Part 2: Transformations, Inverses, and Compositions of Functions

Day 16: **October 8th/9th. **Objective: Students will prove their knowledge by completing an individual test. **Homework:** PC2-0

Day 15: **October 4th/5th. **Objective: Students will collaborate to complete a group test in order to prepare for an individual test on Monday/Tuesday. **Homework:** Study for the individual test!

Day 14: **October 2nd/3rd. **Objective: Students will review unit material to prepare for a group test and individual test. **Unit Review:** PC1-Review(2) **Review Key: PC1-Review(2)KEY** **Group Test is next class! ****Individual Test will be Monday/Tuesday! Homework:** study!

Day 13: **September 28th/October 1st. **Objective: Students will find the inverse of a function algebraically and graphically. **Class Notes:** PC1-9InverseNotes **Additional Notes Scan:** PC1-9NotesFrontScan **Homework:** **1)** Finish classwork worksheet Classwork PC 1-9 and **2)** p. 309 #’s 43, 44, 47, 49, 51, and 52 (Just find the inverse of these functions) Ch4PCBook. **Side Note:** If you are wondering why you can’t divide by 0, watch this video: Dividing by zero? It might help you conceptualize some things that we’ve discussed before.

Day 12: **September 26/27. **Objective: Students will perform operations on functions as well as compositions of functions. **Notes Part 1:** PC1-8NotesPart1 **Notes Part 2:** PC1-8NotesPart2 **Classwork Practice Problems:** PC1-8Practice **Homework:** p. 170 #’s 1, 3, 5, 7, 21, 23, 25 (you don’t need to find the domain)

Day 11: **September 24th/25th. **Objective: Students will perform transformations and write coordinate rules for them. **Notes:** PC1-7Notes **Homework:** complete this document: PC1-7PracticeProblems

Day 10: **September 20th/21st. **Objective: Students will perform transformations given a graph, equation, or point on a graph. **New YouTube video of Notes:** Transformations **Exploration Notes Part 1:** PC1-6ExplorationPart1Completed **Exploration Notes Part 2:** PC1-6ExplorationPart2Front and PC1-6ExplorationPart2Back **Homework: **p. 162 #’s 1-24 all (make sure to graph the equations shown).

Day 9: **September 18th/19th: **Objective: Students will evaluate the difference quotient given a function. **Notes:** PC1-5Notes **Completed Notes:** PC1-5NotesCompleted **Homework:** Finish all the classwork problems here: PC1-5ClassPracticeProblems. Also complete p. 150 #’s 81-84. In these problems, simply evaluate the difference quotient.

# Chapter 1: Functions and Their Graphs

Day 8: **September 14th/17th. **Objective: Students will prove their knowledge on Functions and their graphs. **Homework:** None.

Day 7: **September 12th/13th. **Objective: Students will review unit material to prepare for a test next class. **Unit Review: PC1-Review(1) Review Key:** PC1-Review(1)KEY (I made a mistake on number 4, so I apologize). We will go over exactly why #4 isn’t a good example problem later, but you can use other example problems from homework and daily quizzes instead. TEST NEXT CLASS!

Day 6: **September 10th/11th. **Objective: Students will determine if a function is even, odd, or neither both algebraically and graphically. **Glue-In: **PC1-4 Notes **Completed Glue-In:** PC1-4GlueComplete **Class work:** PC1-4PracticeProblems **Homework:** p 148 #’s 9-19 odd (part c only) #’s 41-51 all problems.

Day 5: **September 6th/7th.** Objective: Students will determine the intervals for which a function is concave up or concave down. **Glue-In:** PC1-3GlueIn **Glue-In(Completed): **PC1-3GlueInCompleted **Class Investigation:** PC1-3InvestigationNotes **Investigation Answer Key:** PC1-3InvestigationNotesSolutions **Homework:** Tonight’s homework will be to complete all of these problems: PC1-3HomeworkSet. **Homework Set Solutions:** PC1-3HomeworkSetSolutions

Day 4: **September 4th/5th.** Objective: Students will define piecewise functions from a graph. Students will determine the intervals that a function is increasing, decreasing, and constant. **Investigation #1 and #2 (Piecewise Functions/Intervals Increasing and Decreasing):** Investigation and Notes **Completed Notes #1:** Piecewise Functions **Completed Notes #2:** Intervals Increasing/Decreasing **Homework:** p. 148 #’s 1-8 all (draw the graphs too) #’s 9 – 19 odd (only do a and b parts – skip part c and d), #’s 85, 86, 87, and 88 (draw the graphs too).

Day 3: **August 30th/31st. **Objective: Students will write the domain of a function using set notation given an equation or graph. Students will write the range of a function using set notation given a graph. **Notes(blank): **PC1-1Notes **Filled in Notes:** PC1-1NotesComplete **Practice Problems from class:** PC1-1** ****Homework:** p. 125 #’s 17, 23-31 odd, #’s 37, 39, and 41, #’s 49 – 59 odd.

Day 2: **August 28th/29th. **Objective: Students will assess quiz feedback, familiarize themselves with classroom routines, and find the domain and range of a function. **Classwork: **PC1-0Stations **Classwork Solutions:** PC1-0StationsSolutions **Homework:** p. 125 #’s 1-11 odd, #’s 13, 15, 21, and 33. Show your work.

Day 1: **August 27. **Objective: Students will familiarize themselves with class rules and routines as they analyze the learning objectives for the school year. **Course Syllabus: PCSyllabus ****Homework:** Visit this website (if you are reading this, congratulations). Watch the first three videos on *My Channel for Precalculus . *Begin obtaining necessary course materials and see me if you need help.

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