MCR3Ur Repeat Functions – Grade 11 (University)

MCR3Ur online is one of over 160 secondary school courses that Blyth Academy Online offers.

Courses Offered

 
 
 
 
 
 
 
 
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PREREQUISITE: A final grade of 40% or higher in the same course

GRADE: 11 (University)

AVAILABILITY: Blyth Academy Online

THE ONTARIO CURRICULUM: Mathematics

MCR3Ur 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 MCR3Ur online, students will reason mathematically and communicate their thinking as they solve multi-step problems.

UNIT ONE

Algebraic Tools
Essential Question: How can we decide when certain problem-solving strategies should be used over others?
  • 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 TWO

Introduction to Functions
Essential Question: How can observed patterns be used to make predictions about unknown quantities?
  • 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 THREE

Exponential Functions
Essential Question: What are the implications of using models to make predictions? Is it possible to have a model that is entirely accurate?
  • 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.

UNIT FOUR

Trigonometry
Essential Question: What are the limitations of using models to make predictions?
  • 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 FIVE

Sequences and Series
Essential Question: How can observed patterns be summarized in order to make informed predictions?
  • 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 SIX

Financial Applications
Essential Question: Can and should mathematical problem-solving strategies be used to make real-world decisions?
  • 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.

FINAL EXAM

Proctored Exam
30% of Final Grade
  • This exam is the final evaluation of MCR3Ur 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.  
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Though our physical doors remain temporarily closed, the minds of our students stay open. Summer classes are continuing to meet on their regular daily schedules, in virtual classrooms with face-to-face instruction and peer interaction.  The Blyth Academy model of small class sizes, flexible scheduling and individualized approach have enabled us to remain faithful to our standards. Our commitment to ongoing and meaningful communication between school, teachers, students and families has been critical to this effort.

Although our students have transitioned into summer mode and COVID-19 restrictions have begun to loosen, we are looking ahead to what September will hold for our campuses and families.
We want to be clear - our preference and our priority is to get students back to our campuses, but we must ensure this is done in a safe and effective way. While we await official guidance from Public Health and the Ministry of Education, a "return to school" task force has been hard at work putting concrete operational plans in place for all likely scenarios. This includes a full return to campus with safeguards, a blended model of virtual and in-campus learning and the continuation of fully virtual classrooms. All scenarios will provide robust learning and live, daily instruction and interaction with teachers and peers. 
With ten campuses across Ontario, we realize that each one of our schools is a unique space and community. We will be implementing across-the-board policies on hand washing, facility cleaning and social distancing measures. Each school is also prepared to pivot individually based on the guidance of local health authorities and to best serve students and families. 
Our recent survey showed that over 80 per cent of Blyth Academy families are eager to return to campuses, and we are hard at work to prepare for this day. As September's scenario becomes clearer and more information becomes available, we will continue to communicate. 

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