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Pre-Calculus 2019-20- Sem 1

Page history last edited by Michael Gibbons 4 years, 1 month ago

 

Syllabus Fall 19 (PC, College in the Classroom).docx

Syllabus Spring 20 (PC, College in the Classroom).docx

Classroom Expectations

Day 1 

SohCahToa and the Trigonometric Ratios

Trigonomteric Sum & Difference Formulas

Trigonometric Double-Angle & Half-Angle Formulas

Error Analysis

Regressions

Graphs,...

http://cs.bluecc.edu/calculus/TrigTools/Files/UnitCircleValues/FunctionValues.htm (Trig output activity)

 

Cool conic animation: http://www.math.odu.edu/cbii/calcanim/index.html (Kelly McNeal, 2010)

 

Excel Format of Calendar with Links to Lessons and Handouts: 

Date

Pre-Calculus
Mon: 9/2/19 No School
Tue: 9/3/19 No School
Wed: 9/4/19 Seating Chart; Syllabus; Textbooks (15 minutes into class); School Norms; Begin 1.3--Finding Equations of Lines.ppt; HW 1-17 odd
Thu: 9/5/19  Discuss some of the HW problems and go over the Quiz 1.3; Quiz 1.3; Complete 1.5--The Complex Numbers.ppt; HW 1-31 odd
Fri: 9/6/19 Discuss a couple problems then take HW Quiz 1.5 (First quiz in skyward); Begin 1.6--Solving Quadratic Equations (Two Days).ppt; Begin 1-29 odd,35,37,39 
Mon: 9/9/19
Complete 1.6 (I will do two HW problems tomorrow, before we collect and quiz.)
Tue: 9/10/19
Do a couple HW problems, with at least one using Completing the Square; Quiz 1.6; 1.7--Quadratic Functions and Their Graphs (Two Days).ppt
Wed: 9/11/19
Printout for students; Continue 1.7--Quadratic Functions and Their Graphs (Two Days).ppt; 1-19 odd,27,29,35; (Make sure students have graphing calculators for 1.8) 
Thu: 9/12/19
Give students 20-min to finish quadratics (1-19 odd,27,29,35); Present Quiz 1.7; 1.8--Quadratic Models.ppt; (We will not finish the lesson. Students get the night off.)
Fri: 9/13/19 Students had last night off: Complete p. 45/1-5,7,9,10; 1.8 Even Solutions.pptx; I'll have the review ready for anyone who finishes early.
Mon: 9/16/19
Collect and Quiz 1.8; [Day 12] Unit 1 Pretest.pptx
Tue: 9/17/19
Complete [Day 12] Unit 1 Pretest Presentation.pptx
Wed: 9/18/19
Unit 1 Exam
Thu: 9/19/19
2.1--Polynomials.ppt; HW 1-17 Odd,19-24; 2.1 Even Solutions.pptx
Fri: 9/20/19
Return Exams; Test Corrections; Notebook Check; Progress Reports 
Mon: 9/23/19 Collect HW; Present Quiz 2.1A; 2.2--Synthetic Division.ppt; HW 2.2/1-25 Odd (Some abstract problems) 
Tue: 9/24/19 Go over any problems requested; Begin 2.3--Graphing Polynomial Functions.pptx (Work fast to complete in 1 day); HW 1-15odd,21-24,29-32; 2.3 Even Solutions.pptx
Wed: 9/25/19
Complete the 2.3 HW (Quiz and Collect before the end of class.)
Thu: 9/26/19
Quiz 2.3; 2.4--Finding Maximums and Minimums of Polynomial Functions.ppt; Assign 1-6,9; 2.4 Even Solutions.pptx
Fri: 9/27/19
Go over the 2.4 HW Problems in class; Give credit for 2.4 HW 
Mon: 9/30/19 2.5--Using Technology to Approximate Roots of Polynomial Equations.pptx; HW 2.5/1-12,15; 2.5 Even Solutions.pptx 
Tue: 10/1/19
Collect 2.5; Discuss Quiz 2.5; 2.6--Solving Polynomial Equations by Factoring.ppt; HW 2.6/1-27 Odd ***I'll do #11 w/ the class during tomorrow's workday (If students are interested, find the complex solutions too.)
Wed: 10/2/19
Complete the 2.6 HW in class (Present #11); Assign more problems for HW -->2.6/29-36,39 (More practice is needed); 2.6 Even Solutions.pptx
Thu: 10/3/19
Present Quiz 2.6; 2.7 Handout.pptx; Begin 2.7--General Results for Polynomial Equations.ppt; HW 2.7/1-27 Odd
Fri: 10/4/19
1st Period: Caprice Hollins Assembly; 5th Period: Unit 2 Review.ppt
Mon: 10/7/19 Quiz 2.7; Unit 2 Review.ppt
Tue: 10/8/19
[Day 12] Unit 2 Pretest Presentation.ppt  
Wed: 10/9/19
Unit 2 Exam 
Thu: 10/10/19
[Day 1] 3.1--Linear Inequalities.ppt; Table for ABS Inequalities.pptx; HW 3.1/1-23 Odd  
Fri: 10/11/19
Test Corrections; Notebook Check; Prog. Reports  
Mon: 10/14/19
Present Quiz 3.1; 3.2--Polynomial Inequalities in one variable; HW 3.2/1-27 Odd
Tue: 10/15/19 Present #23 (End of 3.2); 3.3--Polynomial Inequalities in two variables; HW 3.3/1-27 Odd
Wed: 10/16/19
Quiz 3.3; 3.4--Linear Programming.ppt (Quadrant I Graph Paper for Linear Programming.docx); HW 3.4/1,3,4,5,7; Print Graph Paper (p. 3); 3.4 Even Answers(1).pptx ***Had a problem getting graph paper
Thu: 10/17/19 Workday on 3.4; Unit 3 Review.ppt  
Fri: 10/18/19 Unit 3 Review.ppt
Mon: 10/21/19
Unit 3 Review (Presentation).ppt 
Tue: 10/22/19 Unit 3 Exam
Wed: 10/23/19

Sign up for College in the High School: Fall-->Math 141 ***This must be completed by 11/1 and we will all finish signups today.

Important news about CiHS:

  • Enrollment services created an online application for students to enroll in CiHS. SPSCC enrollment services will use the form to check pre-reqs (there’s a release of records clause) and enroll students who qualify. They will send a list of enrolled students and those who didn’t meet the pre-reqs out to you all, so you can communicate that information to your students and have records for yourself.
  • I have included an attachment with all of the enrollment/ registration dates. I wanted to make sure you all had this info.
  • We have published web pages for students and for high school teachers. Please feel free to look at the pages: we are still adding to them, but quite a bit of relevant information is already there. (Let me know if there is anything in particular that would be helpful for us to add to these pages.) In addition, please share the link for the student web page with your students.
  • A new Canvas course for CiHS teachers will be available within the next week or two.  The Canvas course will include up-to-date documents and information. You will also be able to send me messages through this site.
  • At this time, Canvas shells for you to use with your students will only be available during the SPSCC quarter in which you will submit Canvas grades. 
  • For those of you who participated last year, you can expect your student evaluations sent to your high school email addresses this week, either from me or Amy.

Semester 1 Midterm Review.ppt 

Thu: 10/24/19 Semester 1 Midterm Review Presentation.ppt  
Fri: 10/25/19 Semester 1 Midterm Review Presentation.ppt 
Mon: 10/28/19 Semester 1 Midterm Review Presentation.ppt 
Tue: 10/29/19 Semester 1 Midterm Review Presentation.ppt (Chapter 3... ACT Day on 10/25); Complete the Review and take any questions; Begin the Midterm (Students may use their review today)
ACCUPLACER EXAM https://spscc.edu/students/college-placement-test; The hyperlink has practice accuplacer exams. If Mr. Gibbons has talked to you, you will need to go to the college before 11/20 (with a photo ID and $25) to take the accuplacer. If you score high enough on the accuplacer, you will be enrolled in Math 141 for five credits.
Wed: 10/30/19 Collect the Review; Midterm Final (Day 1); Return the Review
Thu: 10/31/19 Collect the Review; Midterm Final (Day 2) 
Fri: 11/1/19  Test Corrections (Chapter 3); Notebook Check; Prog. Reports  
Mon: 11/4/19 4.1--Functions.ppt; HW Page 122/1-17odd,23
Tue: 11/5/19 Quiz 4.1; 4.2 Graphs.pptx4.2--Operations on Functions.ppt; HW 4.2/3,17-25 Odd,33,35,37; 4.1 Answers (PC).msg
Wed: 11/6/19  4.2 HW Presentation.ppt; Quiz 4.2; Begin 4.3 (Completing the activity on the first slide.)
Thu: 11/6/19 4.3--Reflecting Graphs.ppt; Symmetry.ppt (Get through Slide 11, then pass out the Symmetry Handout.ppt); HW 4.3/1-15 Odd,21,23,28-31; 4.3 Even Answers (PC) 
Fri: 11/8/19  Complete 4.3
Mon: 11/11/19
Veteran's Day
Tue: 11/12/19 Quiz 4.3; 4.4--Periodic Functions.pptReflections, Scale Change, & Translations Handout.ppt; HW 4.4/1-5,7,9,10,19; 4.4 Answers 1-5,79,1019 (Get through Slide 15 during today's lesson)
Wed: 11/13/19 Complete 4.4 
Thu: 11/14/19
Quiz 4.4; 4.5--Inverse Functions.ppt; HW Begin 4.5/1-27 Odd
Fri: 11/15/19 Complete 4.5/1-27 Odd; Quiz 4.5
Mon: 11/18/19
4.6--Functions of Two Variables.ppt; HW 4.6/1-6; 4.6 Answers
Tue: 11/19/19
Go over Quiz 4.6; 4.7--Forming Functions from Verbal Descriptions.ppt (HW solutions are in the lesson); HW 4.7/1-25 EOO
Wed: 11/20/19
Go over the "4.7 Problems"/[Day 13] Unit 4 Pretest.ppt
Thu: 11/21/19 [Day 13] Unit 4 Pretest.ppt (Sub)
Fri: 11/22/19  [Day 13] Unit 4 Pretest (Presentation).ppt
Mon: 11/25/19  [Day 13] Unit 4 Pretest (Presentation).ppt
Tue: 11/26/19 Unit 4 Exam
Wed: 11/27/19 Test Corrections (No time for TC as today we are out at 10:15); Notebook Check; Prog. Reports 
Thu: 11/28/19
Thanksgiving
Fri: 11/29/19
Thanksgiving
Mon: 12/2/19 5.1--Growth & Decay-Integral Exponents ***It's critical students understand Exponential Functions and the Laws of Exponents (some may need to see factors written out and cancelled); HW 5.1/1-12,13-43 Odd; 5.1 Even Answers
Tue: 12/3/19 5.1 Workday (Master Exponential Models and the Laws of Exponents)
Wed: 12/4/19 Quiz; [Day 3] 5.2--Growth & Decay-Rational Exponents.ppt; HW Class Exercises 1-17 EOO, Written Exercises 21-57 EOO
Thu: 12/5/19 Present 5.2 Class Exercises 1-17 EOO, Written Exercises 21-57 EOO.pptx; HW: 3-55 EOO
Fri: 12/6/19 Quiz 5.2/[Day 4] 5.3--Exponential Functions.ppt; HW 5.3/1-27odd
Mon: 12/9/19 Quiz 5.3/[Day 5] 5.4--The Natural Exponential Function.ppt; HW 5.4/1-13,15,17; 5.4 Even Answers (PC); Online Supplement: http://interactmath.com/home.aspx; Beecher: Precalculus, 4e; Ch. 5; Section 2; Solve Applied Problems
Tue: 12/10/19 Quiz 5.4/5.5; HW 5.5/1-24; 5.5A Evens5.5B Evens5.5C Evens
Wed: 12/11/19
Complete 5.5; Quiz 5.5
Thu: 12/12/19 5.6; HW 5.6/1-49 EOO,51
Fri: 12/13/19 Quiz 5.6; 5.7; HW 5.7/1-21 Odd,25,27,29,37-40, p. 209/8,10-13; 5.7 Evens
Mon: 12/16/19
No Quiz (Go over #17 & #29--> In the lesson); [Day 10] Unit 5 Pretest.ppt
Tue: 12/17/19
Review Presentation 
Wed: 12/18/19
Unit 5 Exam
Thu: 12/19/19
7.17.1 Handout.pptx7.1 Handout (2013).pptx HW p. 260/Class Exercises 1,3,5; Written Exercises 11b,13b,23,25; 7.1A Solutions (PC)7.1B Solutions (PC)7.1C Solutions (PC) 
Fri: 12/20/19 Test Corrections; Progress Reports; Notebook Checks
  Winter Break
Mon: 1/6/20 Present Quiz 7.1 (1st day back from the holiday); 7.2; HW p. 264/1,3,7,8,11,12,15; 7.2ASolutions (PC)7.2BSolutions (PC)7.2CSolutions (PC) 
Tue: 1/7/20 Go over Quiz 7.2; 7.3; HW p. 272/3,5,18,19,20,33,35,37,39; 7.3A HW Solutions7.3B HW Solutions7.3C HW Solutions
Wed: 1/8/20 Complete the 7.3 Lesson; 7.3 Workday
Thu: 1/9/20 7.4; HW 7.4/1,5,11,13,15,17,22; 7.4A Solutions7.4B SolutionsRadian Angles on the Unit Circle.pptx 
Fri: 1/10/20 No Quiz; 7.5; HW 7.5/13,15,17,23a,24a,25a,26c,27c,28c; 7.5A Solutions7.5B Solutions7.5C Solutions 
Mon: 1/13/20 Present Quiz 7.5/7.6; HW 7.6/2,5,7,11-14
Tue: 1/14/20 SNOW
Wed: 1/15/20 Present Quiz 7.6; As students finish up 7.6, give them the Extra] Unit 7 Pretest.pptKey Notes and Diagrams Unit 7.pptx
Thu: 1/16/20 Pretest_Presentation
Fri: 1/17/20 Unit 7 Exam; Semester 1 Final Review.ppt
Mon: 1/20/20
MLK Day
Tue: 1/21/20 Complete Exam; Semester 1 Final Review Presentation.ppt (1-10)
Wed: 1/22/20
Semester 1 Final Review Presentation.ppt (11-30)
Thu: 1/23/20 Semester 1 Final (1-21)
Fri: 1/24/20 Semester 1 Final (22-30)
 

(Sub)--> Go to the Library (maybe chromebooks in class) and work on Khan Academy [https://www.khanacademy.org/math]: 

Search Trigonometry, and Watch Videos in this Order:

  1. Intro to radians (10:50)
  2. Radians & degrees (7:10)
  3. Degrees to Radians (7:01)
  4. Radians to degrees (3:19)
  5. Radian angles and quadrants (3:50)
  6. Unit circle Introduction (9:03)
  7. The trig functions & right triangle trig ratios (6:56)  
  8. Pass out Unit Circle Definition of Trig Fctns.docx
  9. Complete the Trig unit circle review on Khan Academy
  10. Graph of y=sin(x) (9:21) 
  11. Graph of y=tan(x) (10:11)
  12. Intersection points of y=sin(x) and y=cos(x) (11:06) 

*** Students will want to get as far as they can through "All" of these videos (and take some notes) over the next two school days. We will finish these videos when I get back on Tuesday.

Khan Academy for Trigonometry.docx 

   

 

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