MCR3U Functions – Grade 11 (University)
PREREQUISITE: Principles of Mathematics, Grade 10, Academic
GRADE: 11 (University)
AVAILABILITY: Full-time – All Campuses, Part-time – All Campuses, Private – All campuses, Blyth Academy Online
THE ONTARIO CURRICULUM: Mathematics
COURSE FEE: $595
MCR3U Course Overview
MCR3U online 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, and develop facility in simplifying polynomial and rational expressions. In MCR3U online, students will reason mathematically and communicate their thinking as they solve multi-step problems. As this is a course designed for university preparation, the skills learned in MCR3U will hone skills needed for academic and professional programs at the university level. The Grade 11 Functions course can also be used as a prerequisite for Grade 12 – University courses necessary for certain university programs. Whether you choose to take MCR3U online or on campus, the course will help prepare you for the next steps you take in applying for university programs and beyond.
MCR3U Course Outline
Below is a course outline for the online MCR3U course offered by Blyth Academy. As the Ontario MCR3U curriculum is set by the Ontario Ministry of Education, the course and skills learned remain the same whether you take it in person or online.
MCR3U aims to help students use the language of mathematics confidently, flexibly, and skillfully. The course incorporates a variety of instructional strategies in order to offer learning opportunities that accommodate different learning styles, ability levels, and interests. Students will gain facility with solving problems, selecting tools and computational strategies, connecting concepts to real-world applications, using various representations (including concrete, visual, and symbolic), and self-assessing understanding of concepts learned throughout the duration of the course.
UNIT ONEAlgebraic Tools
- In this unit, students will begin with a few review lessons to activate previous understanding of basic algebraic tools. They will then develop new algebraic skills that build off of these previous understandings.
UNIT TWOIntroduction to Functions
- In this unit, students will build on the algebraic skills they developed in the previous unit. Students will learn concepts such as domain and range, transformations of basic functions, and inverse functions. Most of these concepts are considered foundational skills that will be developed further throughout this course. This unit will also introduce new notation that uses the concept of the function.
UNIT THREEExponential Functions
- In this unit, students will identify specific characteristics of exponential functions that can be observed both graphically and in their equations and apply familiar transformations to the graphs of exponential functions. Students will solve exponential equations using algebraic strategies and exponent laws. Students will also analyze and solve real-world scenarios and problems using exponential functions.
- In this unit, students will be reintroduced to the familiar concepts of SOH CAH TOA, Sine law and Cosine law. Students will build on them, leading to an introduction of trigonometric functions. By the end of this unit, students will have an understanding of trigonometric functions and how they can be used to model phenomenon such as the swinging of a pendulum.
UNIT FIVESequences and Series
- In this unit, students are introduced to a new type of function: the discrete function. In this course, discrete functions will take the form of sequences and series. A sequence is a list of numbers with some discernible pattern. Think back to your early studies of mathematics. You may recall problems that would present you with a list of numbers and it was your job to determine the pattern and maybe even predict the next three terms in the sequence. This unit will involve building on students knowledge of sequences like these, but they will be modelling them using functions that allow them to predict any term in the sequence.
UNIT SIXFinancial Applications
- In this unit, students will connect and apply topics of study throughout the course to the concept of finance. The question every math teacher gets at least once per lesson is “when are we ever going to use this!?” The good news is this unit contains real-life applications of most concepts from this course! This unit will apply the knowledge students obtained from the following units: Algebraic Tools, Introduction to Functions and Exponential Functions.
- Students can find below a grading rubric and breakdown of the MCR3U course offered by Blyth Academy. The course structure and grading remains the same whether students take this course in person or online.
- You can expect to receive your final grade about four days after writing the final exam. However, students should be advised that this timeline may vary depending on how much work the student has submitted toward the end of the course.
- The final grade will be based on a student’s achievement of curriculum expectations as well as demonstrating the skills required for effective learning. The final percentage grade each student receives reflects the quality of the individual student’s overall achievement, showing how the student has mastered course expectations. The final grade is broken down in the following manner:
70% of the grade: This portion of the final percentage grade will be based on evaluations conducted throughout the MCR3U course. This component of the grade reflects a student’s most consistent achievement level, though special consideration may be given to recent evidence of further achievement.
30% of the grade: This portion of the final percentage grade will come from final evaluations, to be administered at the conclusion of the MCR3U course. The final assessment for the Blyth Academy course is comprised of two parts: A culminating project, which is worth 10% of the overall final course grade, and a final proctored exam, which is worth 20% of the overall final course grade. Expectations for both the culminating project and final exam are described below.
- This project is one of the final evaluations of MCR3U online. This project will challenge students to use their knowledge of concepts learned throughout the course. This culminating project is worth 10% of the final grade.
FINAL EXAMProctored Exam
- This exam is the final evaluation of MCR3U online. Students need to arrange their final exam 10 days in advance. All coursework should be completed and submitted before writing the final exam, please be advised that once the exam is written, any outstanding coursework will be given a grade of zero. The exam will be two hours.
- Please consult our Frequently Asked Questions Page or the Exam section within your course for details on exam proctoring options.
- After you complete the Blyth Academy MCR3U course, Blyth Academy will send a report card to your home school. You will receive a digital report card as well. Students can expect the report card to be generated and processed within two business days after the final grade for the course has been submitted.
- Official report cards will be sent to the student’s home school. Blyth Academy mails these report cards by standard mail via Canada Post. Please be advised that mailing time may take up to one to two weeks.
- Students also receive digital copies of their report cards for their own records. Student copies of report cards are sent by email (not by physical mail).
- Learn More!