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A Flipped Experience for Learning Pre-Calculus Algebra
In this flipped classroom, students are responsible for learning and creating knowledge with the facilitation of the instructor. This webstie provides the road map to guide students on their path to become an independent learner and proficient problem solver. This project was originally supported by the 2014-15 Chancellor's Office Proven Course Redesign Project and a joint work between Amy Mulgrew and Jen-Mei Chang. Any question or comment should be directed to Professor Jen-Mei Chang (jen-mei.chang@csulb.edu).
Course Materials:
- Course Syllabus: (Mon/Wed) and (Tue/Thur)
- Calendar of topics and maps for WebAssign homework sets: (Mon/Wed) and (Tue/Thur)
- Before first day announcement
- How to attend flipped "lectures" - an infographic
- You can access all the videos (with closed captions) Dr. Chang made here.
Class #
Pre-Class Tasks
In-Class Tasks
Post-Class Tasks
1. MW 8/24 (TT 8/25)
- What is The Flipped Classroom (graphical illustration by Knewton)
- Why Flipped Classroom (YouTube video by Aaron Sam at Woodland Park High School)
- The Flipped Classroom Model (YouTube video by MADDrawProductions)
- Review the course syllabus
- Purchase the Textbook
- Sign up for WebAssign (please do this ASAP)
- Q & A
- Group.Quiz.0
- Study Strategies for Effective Learning in Mathematics Classes (video)
- Set-builder and interval notations for describing sets of real numbers (video ->10:26)
- Solving linear and non-linear inequalities and modeling with inequalities (video->18:45)
- Solving absolute value equations and inequalities (video->15:03)
- WebAssign Set 1
- Lines and modeling linear trend (video->18:20)
- Function evaluations: in the context of modeling and abstract symbols (video->15:27)
- Domain and range of functions (video->10:39)
- WebAssign Set 2
- Graph of functions through plotting (video->13:31)
- The vertical line test (video->7:09)
- Graph and model piecewise functions (video->11:35)
- WebAssign Set 3
- Multiplication and division of rational expressions (video->12:32)
- Addition and subtraction of rational expressions (video->9:35)
- Simplifying compound fractions (video->9:14)
- Solving equations involving fractional expressions (video->10:14)
- WebAssign Set 4
- Average rate of change (ARC) (video->16:51)
- Function behaviors and spotting local extrema (video->13:03)
- WebAssign Set 5
8. MW 9/16 (TT 9/17)
- Complete WebAssign Sets 1-5
- Exam 1
- Reflections
- Quadratic functions: standard form (video->21:06)
- WebAssign Set 6
- Formulas of familiar shapes (video->14:49)
- Strategies for modeling through an example (video->8:17)
- WebAssign Set 7
- (Same videos as Class #9)
- Formulas of familiar shapes (video->14:49)
- Strategies for modeling through an example (video->8:17)
- WebAssign Set 8
- Please print and follow along this notes when you watch the following video.
- Transformations of functions - Part I: translations and reflections (video->22:33)
- WebAssign Set 9
- Continue with same notes as Class #12
- Transformations of functions - Part II: stretching, shrinking, even and odd functions (video->17:28)
- Summarizing Transformations (An infographic by Kayla Bollinger -> timeless)
- WebAssign Set 10
- Rational exponents and radicals (video->13:16)
- Solving equations of quadratic types (video->16:57)
- Solving equations of other types by factoring and grouping (video->5:25)
- WebAssign Set 11
16. MW 10/14 (TT 10/15)
- Complete WebAssign Sets 6-11
- Exam 2
- Reflections
- (Review) Solving non-linear inequalities (between 5m51s - 12m35s) (video->6:44)
- Please print and follow along this notes when you watch the following video.
- End behavior of polynomials (video->23:26)
- WebAssign Set 12
- Using zeros to graph polynomial functions (video->10:42)
- Graph of polynomial functions near a zero of multiplicity m (video->13:45)
- WebAssign Set 13
- Factoring and constructing a polynomial using the Factor Theorem (video->12:55)
- WebAssign Set 14
- Finding vertical and horizontal asymptotes of rational functions (video->18:12)
- WebAssign Set 15
- Polynomial long division and synthetic division (video->10:15)
- Using transformations to graph rational functions (video->5:20)
- WebAssign Set 16
- Sketch graphs of rational functions (video->8:51)
- Feel free to print and use this curve sketching worksheet to organize your work when you complete Group.Quiz.17
- Group.Quiz.17 (Solution)
- WebAssign Set 17
24. MW 11/16 (TT 11/12)
- Complete WebAssign Sets 12-17
- Exam 3
- Reflections
- Slant asymptotes (video->7:16)
- WebAssign Set 18
- Exponential functions and their properties (video->24:24)
- Modeling with exponential functions (video->12:45)
- WebAssign Set 19
- Logarithmic functions as inverses of exponential functions (video->24:20)
- WebAssign Set 20
- Laws of Logarithms (video->13:48)
- Modeling with logarithmic functions (video->12:33)
- WebAssign Set 21
29. MW 12/9 (TT 12/8)
- Redo all past exams and check solutions
- Final exam topics review
30. MW 12/14 (TT 12/10)
- Complete WebAssign Sets 18-21
- (MW) Cumulative Final Exam: 10:15 AM - 12:15 PM
- (TT) Cumulative Final Exam: 12:30 PM - 2:30 PM