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Program: Mathematics

Course: MCR3U, Functions

Grade: 11

Level: University Preparation

Semester: 1, 2017-2018

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 at least the first two units of 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 to learn more!

Unit 1 – Intro to Functions and Solving Equivalent Algebraic Expressions (Part of Ch 1 and All of Ch 2)

Unit Outline HERE

Some Notes and Examples from Class HERE

Test on Friday, September 22

Chapter 2 and 3 Assignment Due on: Wednesday, October 11

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

2.3 – Factoring          Video      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 to be 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.

Unit 2 – Quadratics (Ch 3)

Unit Outline HERE

Some Class Notes HERE

Chapter 2 and 3 Assignment HERE

Test on Wednesday, October 11

Chapter 2 and 3 Assignment Due On Thursday, October 12

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 3 – Discrete Functions: Sequences and Series (Ch 7)

Unit Outline HERE

Some Class Notes HERE

Test on: Monday, October 23

7.1 – Arithmetic Sequences  Video 1Video 2Video 3Handout

7.2 – Geometric Sequences    Video 1 – Video 2 – Handout

7.5 – Arithmetic Series           Video 1 – Video 2 – Handout

7.6 – Geometric Series           Video – No Handout – make own notes

7.7 – Pascal’s Triangle            Video 1 (Intro)Video 2 (Optional) Video 3 (Binomial Expansion) – No Handout – make own notes

If videos don’t work on Playposit, you can find them on Mr. Hamilton’s Youtube channel HERE.

Test included 7.1, 7.2, 7.5, 7.6 and 7.7 (7.3 and 7.4 not included)

Unit 4 – Discrete Functions: Financial Applications (Ch 8)

Unit Outline HERE

Some Class Notes HERE

Finance Project                   Budget Form

Part 7 (Budget) and Part 8 (Reflection) – Due Mon., Nov. 20 (due date has been updated to this)

Unit 5 – Transformations of Functions (Ch 1)

Unit Outline HERE

Some Class Notes HERE

Test on: Tuesday, November 21

Unit 6 – Exponential Functions (Ch 4)

Unit Outline HERE

Some Class Notes HERE

Test on: Tuesday, November 21

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