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MCR3U - Grade 11 Functions

University Preparation Level, Grade 11 Mathematics Course taught by Mrs. Anna Nicolaou

Anna Nicolaou | Author Level 1

What You Will Learn

Course Learning Outcome (CLO):

Students who will complete this course can achieve the following course learning outcomes (CLOs):

  • CLO1: demonstrate an understanding of functions, their representations, and their inverses, and make connections between the algebraic and graphical representations of functions using transformations;

  • CLO2: determine the zeros and the maximum or minimum of a quadratic function, and solve problems involving quadratic functions, including problems arising from real-world applications;

  • CLO3: evaluate powers with rational exponents, simplify expressions containing exponents, and describe properties of exponential functions represented in a variety of ways;

  • CLO4: make connections between the numeric, graphical, and algebraic representations of exponential functions;

  • CLO5: identify and represent exponential functions, and solve problems involving exponential functions, including problems arising from real-world applications.

  • CLO6: demonstrate an understanding of recursive sequences, represent recursive sequences in a variety of ways, and make connections to Pascal’s triangle;

  • CLO7: demonstrate an understanding of the relationships involved in arithmetic and geometric sequences and series, and solve related problems;

  • CLO8: make connections between sequences, series, and financial applications, and solve problems involving compound interest and ordinary annuities.

  • CLO9: determine the values of the trigonometric ratios for angles less than 360º; prove simple trigonometric identities; and solve problems using the primary trigonometric ratios, the sine law, and the cosine law;

  • CLO10: demonstrate an understanding of periodic relationships and sinusoidal functions, and make connections between the numeric, graphical, and algebraic representations of sinusoidal functions;

  • CLO11: identify and represent sinusoidal functions, and solve problems involving sinusoidal functions, including problems arising from real-world applications.

Keywords:

Grade 11, Functions, Quadratic, Quadratics, Exponential, Financial, Sequences, Series, Arithmetic, Geometric, Trigonometric, Sinusoidal.

Course Description:

This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

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Meet Your Instructor

Instructor
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0 Students
Author Level 1
11 Courses
About Instructor

Anna graduated with an Honours Bachelor's Degree of Science from the University of Toronto with a Mathematics major, with minors in Finance and Statistics. She has also obtained a postgraduate certification with a Marketing Specialization. She has worked as an instructor with the Great Lakes College of Toronto and the University of Toronto, department of Mathematics. Anna aims to convey course materials in an effective and efficient manner through mastery-based learning strategies whether the goal is to obtain skills in Mathematics, Statistics, Economics, Finance, or Marketing. 


See a sample lecture at https://youtu.be/rxtSdCueRiI

Section Name Lecture Name Lecture Date Lecture Time
(Toronto, Canada - EST Time)
Lecture Time
(Local Time)
Section 1 (Current) Session 1 Fri-12-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 2 Mon-15-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 3 Tue-16-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 4 Wed-17-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 5 Thu-18-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 6 Fri-19-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 7 Mon-22-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 8 Tue-23-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 9 Wed-24-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 10 Thu-25-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 11 Fri-26-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 12 Mon-29-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 13 Tue-30-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 14 Wed-31-Jan-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 15 Thu-01-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 16 Fri-02-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 17 Mon-05-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 18 Tue-06-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 19 Wed-07-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 20 Thu-08-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 21 Fri-09-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 22 Mon-12-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 23 Tue-13-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 24 Wed-14-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 25 Thu-15-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 26 Fri-16-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 27 Mon-19-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 28 Tue-20-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 29 Wed-21-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 30 Thu-22-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 31 Fri-23-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 32 Mon-26-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 33 Tue-27-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 34 Wed-28-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 35 Thu-29-Feb-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 36 Fri-01-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 37 Mon-04-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 38 Tue-05-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 39 Wed-06-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 40 Thu-07-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 41 Fri-08-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 42 Mon-11-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 43 Tue-12-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 44 Wed-13-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 45 Thu-14-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 46 Fri-15-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 47 Mon-18-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 48 Tue-19-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 49 Wed-20-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 50 Thu-21-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 51 Fri-22-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 52 Mon-25-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 53 Tue-26-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 54 Wed-27-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 55 Thu-28-Mar-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Section 1 (Upcoming) Session 1 Fri-05-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 2 Mon-08-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 3 Tue-09-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 4 Wed-10-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 5 Thu-11-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 6 Fri-12-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 7 Mon-15-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 8 Tue-16-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 9 Wed-17-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 10 Thu-18-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 11 Fri-19-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 12 Mon-22-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 13 Tue-23-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 14 Wed-24-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 15 Thu-25-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 16 Fri-26-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 17 Mon-29-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 18 Tue-30-Apr-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 19 Wed-01-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 20 Thu-02-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 21 Fri-03-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 22 Mon-06-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 23 Tue-07-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 24 Wed-08-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 25 Thu-09-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 26 Fri-10-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 27 Mon-13-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 28 Tue-14-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 29 Wed-15-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 30 Thu-16-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 31 Fri-17-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 32 Mon-20-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 33 Tue-21-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 34 Wed-22-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 35 Thu-23-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 36 Fri-24-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 37 Mon-27-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 38 Tue-28-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 39 Wed-29-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 40 Thu-30-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 41 Fri-31-May-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 42 Mon-03-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 43 Tue-04-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 44 Wed-05-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 45 Thu-06-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 46 Fri-07-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 47 Mon-10-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 48 Tue-11-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 49 Wed-12-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 50 Thu-13-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 51 Fri-14-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 52 Mon-17-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 53 Tue-18-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 54 Wed-19-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
Session 55 Thu-20-Jun-24 04:00 PM to 06:00 PM 03:00 AM to 05:00 AM
video
  • Course Duration
    110 Hours 0 Minutes
  • Course Level
    Foundation
  • Discipline
    K12 School
  • Language
    English
This Course Includes
  • 6 Modules
  • 10 h 55 m 35 s Video Lectures
  • 6 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion