MCR3U Grade 11 Functions. University
Course Outline

Get Ready

September 4
Homework:
Finish the worksheet
Take up the homework.

September 5
Homework:
Finish worksheet
Take up homework.
Unit 1
1.1 Relations vs. Functions.
Fathom Activity
Characteristics of Functions.
Domain and Range.

September 6
Homework:
Read Chapter 1.1
Relations vs. Functions continued
Characteristics of Functions.
More on Domain and Range.
p.10 #1-3, p.11 # 7, 8, 10
September 7
Homework:
Chapter 1.1
Finish the booklet
Relations vs. Functions continued
Take up problems on functions
Number Types

September 10
Homework:
p. 11 # 6, 9, 11, 15
Function Notation. Working with Functions

September 11
Homework: Chapter 1.2
Finish the booklet problems
Working with Functions continued
Take up homework
September 12
p.23-24 #7, 8, 12, 13, 15

Additional practice: Worksheet
Exploring Properties of Parent Functions
Computer based activity:
Linear Functions, Quadratic Functions, Square Root Functions, Reciprocal Functions, Absolute Value Functions


Parent Functions
September 13


Domain and range of a function.

September 14
Homework
dp.35 # 1 – 4.
Additional practice:
P.36-37 #5, 7, 9, 11
More Practice on Function Notation, Domain, Range


September 17
Finish the worksheet.
Quiz on Function Notation, Domain, Range

September 18
Take up Quiz
Inverse Functions. Properties, Characteristics

September 19
Homework:
Finish the problems from
the handout
Inverse Functions. Properties, Characteristics

September 20

Additional Practice
Transformations of Parent Functions

Chapter 1.8
Notes and Additional Practice on Transformations of Function

Applying Transformations
September 21
Homework:
Read Chapter 1.8
p.70-71 #4-10
Transformations of Parent Functions.

September 25
Homework:
p.76 # 1 - 5
Unit 1 Review

September 26
Homework:
p.76-77 #6-19
Transformations of Parent Functions Jeopardy

p.78 Chapter Self-Test
September 27
Unit 1 Test

September 28
Homework:

Unit 2
Equivalent Algebraic Expressions
Adding and Subtracting Polynomials

October 1
Homework: Ch. 2.1
p.88 #4, 5, p.89 #10, 16, 17
Multiplying Polynomials. Commutative property, Associative property, Distributive property. FOIL, Special Polynomials (Perfect Square, Difference of Squares)

October 2
Homework: Ch. 2.2
p.96 # 6, 10, 11, 12, 13
Additional Practice
Practice: Multiplying Polynomials

October 3
Homework:
Finish the worksheet
and "Snow ball" activity problems
Quiz on Adding, Subtracting, and Multiplying Polynomials

October 4
Take up Quiz problems.
Factoring Polynomials. Exploring Factoring Strategies (GCF, Special Polynomials, Grouping, Product-and-Sum, Decomposition)

October 5
Homework:

Activity on Factoring Polynomials



October 9
Homework:


Activity on Solving Problems using FactoringIntroduction to Rational Expressions.


October 10
Simplifying Rational Functions.
Chapter 2.4, 2.6
Determining Restrictions on the variable. Strategies for simplifying Rational Functions.
Multiplying and Dividing Rational Expressions.

More Ideas on Simplifying Rational Expressions
Examples with Solutions on Simplifying Rational
October 11
Homework:

Additional Practice Worksheets:


Adding and Subtracting Rational Expressions
Chapter 2.7

Additional Practice
Additional Practice Worksheet:

October 12
Homework:

Unit 2 Review

October 15
Unit 2 Test

October 16
Unit 3 Properties of Quadratic Functions
Basketball Shot Activity.


Chapter 3.1
Three forms of a quadratic function.
October 17
Homework:
Chapter 3.1
p.145 # 3, 4
p.146 # 6
p.153 # 3,
p.154 #8
Determining Maximum and Minimum Values of a Quadratic Function
Chapter 3.2. Completing the Square. Changing from Standard form to Vertex form.
Fathom Activity: Modelling with Quadratics using Vertex Form.
October 18

Homework: Chapter 3.2
p.154 # 8, 9, 11
p.160 # 3, 4
Investigating the Inverse of a Quadratic Function
Chapter 3.3
Domain and range of the inverse of a quadratic function. Equation of the inverse of a quadratic function. Solving real-life problems using the inverse of a quadratic function.

October 19
Homework:
Additional Practice on Inverse of Quadratic Function
How to graph the inverse of a quadratic function. Video
Chapter 3.3, Practice on Completing the Square and the Inverse of a Quadratic Function
Chapter 3.4 Operations with Radicals


October 22

Working with Radicals.
Chapter 3.4 p.167 # 4, 5,
p.168 # 6 ab
October 23
Homework: p.168 # 6 c- f,
7, 12
Practice questions
p.170 # 1, 5, 7, 9, 12

Quiz on Quadratic Function (Vertex form, Completing the Square, Inverse of a Quadratic, Radicals)
Solving Quadratic Equations by Factoring, using the Quadratic Formula, using Vertex Form
Chapter 3.5
p.177 # 1, 2, 4
p.178 # 7, 9,10
October 24
Homework:
p.178 #8, 11, 13, 15

The Zeros of a Quadratic Function.

Solving Quadratics Equations.
Chapter 3.6
p.185 #4, 5, 6, 7, 8, 14
October 25
Homework:


Zeros of Quadratic Functions.
Linear-Quadratic Systems
Chapter 3.8



October 26
Homework: Work on the Review
Unit 3 Review
Additional Practice on Solving Quadratic Equations
Additional Practice on Radicals
October 29

Homework: Finish Unit 3 Review
Test on Unit 3

October 31
Unit 4 Exponential Functions
Exploring Exponential Functions: Growth, Decay
Rules of Exponents. Integer Exponents.
Chapter 4.1, 4.2
p.221 - 223 #1-6, 13

November 1
Homework: p.222 #7-11,
p.223 #16-18
Rational Exponents
Rational Exponents as radicals.
Chapter 4.3

November 2
Homework:
p.229 # 6, 7
p.230 # 14
Simplifying Algebraic Expressions Involving Exponents

Chapter 4.4
P. 235 #1, p.236 # 2, 4, 6
Additional Practice:

November 5
Homework:
HW: p.236 #3, 5, p. 237 # 8, 9, 15
Quiz on Rules of Exponents
Exploring Exponential Functions.
Graphs, Properties, Domain, Range, Asymptotes

November 6
Homework: Chapter 4.5
p.243 # 1, 2
Transformations of Exponential Functions
Chapter 4.6

November 7
Homework:
Finish the handout.
Transformations of Exponential Functions
Continued.

November 8
Finish the worksheet

Additional Practice on Simplifying Exponents

Applications Involving Exponential Functions

Chapter 4.7

November 9
Homework:
Finish the worksheet.
Review on p.276 #2 - 5
#7, 8
p.278 #10 - 12
Unit 4 Review on Exponential Functions

November 12
Homework:
Chapter Self-Test on
p.270 #1 - 6
Unit 4 Test

November 13
Unit 5
Trigonometric Ratios
Primary Trigonometric Ratios.
Reciprocal Trigonometric Ratios
Chapter 5.1

November 14
Homework:

Special Angles
Trigonometric Ratios of Special Angles
Chapter 5.2

November 15
Homework:

Exploring Angles Greater Than 90 degrees
Trigonometric Ratios for Angles between 0 and 360 degrees
Chapter 5.3
Chapter 5.4

November 19
Homework:

Trigonometric Identities
Chapter 5.5


Additional Practice on Trig Identities
November 20
Homework:

Quiz on Trigonometric Ratios
Sine Law
Chapter 5.6
November 21
Homework:
Cosine Law
Chapter 5.7

November 22
Homework:
Solving 2D and 3D problems using Trigonometry
Chapter 5.8
p.332 #3, 4, 7
November 23
Chapter Self-Test on p.340
Review on Unit 5


November 26
Review on Unit 5



November 27
Test on Unit 5

November 28
Unit 6
Periodic Functions

November 29
Homework:

Properties of Sine and Cosine Functions
Chapter 6.2
p.363 # 3, 5, 8
November 30
Working with Sinusoidal Functions.
Transformations of Sine Functions.
Chapter 6.3, Chapter 6.4

December 3
Homework:

Transformations of Periodic Function.
Modelling Real-Life Problems using Periodic Functions

December 4
Homework: Finish the booklet
Additional Practice:

Quiz on Periodic Functions.
Modelling using Sinusoidal Functions.

December 5
Homework: Chapter 6.7
Finish the booklet
Unit 6 Review

December 6
Unit 6 Test

December 7
Unit 7
Discrete Functions: Sequences and Series
Patterns. Arithmetic Sequences.
Common Difference. Recursive formula.
Chapter 7.1

December 10, 11
Homework:
p.424 - 425
#7, 13, 15
Geometric Sequence.
Common Term. Recursive formula.
Chapter 7.2

December 12
Homework:

Recursive formula vs. General term.
Working with recursive sequences activity.
Chapter 7.3, 7.4

December 13
Homework:
Finish problems from the handout.
Arithmetic Series. Partial sum.
Geometric Series.
Chapter 7.5, Chapter 7.6

December 14
Homework:

Snow days

December 17-18
Unit 7 Review Self-Quiz

December 19
Homework:
p.468 #1-5, #7-10, #14
p.469 #15, 16, 18, 19
Additional Practice:
p.470
#1-3, #5, 7
Unit 7 Test

December 20
Holidays

December 24 - January 4
Unit 8
Financial Applications of Discrete Functions
Simple Interest
Chapter 8.1

January 7
Homework:
Chapter 8.1,
p.481 #1, 3, 4, 5,
p.482 #7, 8, 11
Compound Interest. Future Value, Present Value
Chapter 8.2, Chapter 8.3

January 8
Homework:
Chapter 8.2, 8.3
Finish the handout
Annuities: Future Value
Chapter 8.4

January 9
Homework:
Chapter 8.4
p.512 # 7 - 10
Quiz on Financial Applications of Discrete Functions
Chapter 8.5 p.513 -519, examples 1 – 3.
January 10
Homework:
p.520 #2, 3
Annuities: Present Value
Chapter 8.5

January 11, January 14
Homework:
Review on Financial Applications

January 15
Test on Unit 8

January 16
Course Review

January 17 - January 23
Exam

January 25