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.
CULMINATING PROJECT
10% of Final Grade
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 EXAM
Proctored Exam
20% of Final Grade
- This exam is the final evaluation of MCR3U. 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. There are two options for taking the exam:
- WRITE EXAM AT ELITE HIGH SCHOOL CAMPUS: If you live close to Elite High School Campus, or if you attend Elite High School Campus, you can take your exam there. You will receive a confirmation email with next steps and exam information once your exam date is scheduled.The exam can be rescheduled or cancelled with a reasonable proof in case of a medical emergency.
- USE EXAMITY PROCTORING SERVICE: For a fee of 22 USD*, students can arrange to take their exam in the comfort of their own home, at any time, on any day. Please select Examity Exam in the exam section of your course to set up your Examity profile and schedule your exam. Exams must be scheduled at least 24 hours in advance. *Price is subject to change.
- Please email exams@elitehighschool.com if you need assistance.
