Program: Mathematics
Course: MCR3U, Functions
Grade: 11
Level: University Preparation
Semester: 1, 2021-2022
Teacher Name: Mr. Hamilton
Contact: ahamilton@rchs.on.ca
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.
Prerequisite: Principles of Mathematics, Grade 10, Academic
Course Documents
The Flipped Classroom
For 3 of the units in this course, we will be doing a flipped classroom. That means that lessons will be watched at home and traditional homework and learning activities will be done in the classroom. Check out this short video below to learn more.
Unit 2 – Quadratics (Ch 3)
Prerequisite Skills Quiz 3.1-3.3 Quiz 3.3-3.5 Quiz 3.6-3.8 Quiz
Test on Friday, Oct. 15 (as of Sept. 30)
3.1 – Properties of Quadratic Functions Video Handout
3.2 – Determining Max and Min Value Video No handout – make your own notes
3.3 – The Inverse of a Quadratic Function Video 1 <– Khan Academy Intro to Inverses
(watch both videos on same day) Video 2 Handout
3.4 – Operations involving Radicals Video Handout
3.5 – Solving Quadratic Equations Video Handout
3.6 – Zeros of a Quadratic Function Video No Handout – make your own notes
3.7 – Families of Parabolas Part 1 – Video Handout
(watch both videos same night) Part 2 – Video Same handout as above
3.8 – Linear-Quadratic Systems Video Handout
If videos don’t work on Playposit, you can find them on Mr. Hamilton’s Youtube channel HERE.
Unit 1 – Intro to Functions and Solving Equivalent Algebraic Expressions (Part of Ch 1 and All of Ch 2)
Who do you think this is a picture of? Where was it taken?
Some Notes and Examples from Class HERE
Test changed to Wed., Sept. 29
1.1 – Characteristics of Functions Video Handout
1.2 – Function Notation Video Handout
1.4 – Domain and Range and Real Numbers Video Handout
2.1 & 2.2 – Add/Subtract/Multiply Polynomials Video 1 Make your own notes
(watch both videos on same day) Video 2 Handout
Extra Practice Video Here (optional)
2.4 – Simplifying Rational Functions Video Make your own notes
2.5 – Exploring Graphs of Rational Functions No Video – Activity done in class
2.6 – Multiply/Divide Rational Expressions Video Make your own notes
2.7 – Add/Subtract Rational Expressions Video Make your own notes
If videos don’t work on Playposit, you can find them on Mr. Hamilton’s Youtube channel HERE.
Helpful Links
- Desmos: an online graphing calculator (see the User Guide)
- IXL: online skills practice
- Free Geometry Software: GeoGebra
- Free Graph Paper (right-click to save printable file)
- Problem of the Week – see “Problem E” under “Current Problems”
- Khan Academy Videos:
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An Example of Recursion in Computer Programming
- Mr. Hamilton’s MCR3U Videos on YouTube
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Financial Math Tools: