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MCR3U W2011

Page history last edited by Steve Sweeney 12 years ago

MCR3U - Functions (University Preparation)

 

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, recommend at least 70% in MPM2D to move on to MCR3U

 

This page will have a daily breakdown of the course.  Most recent classes are at the top of the page, while the older classes get pushed to the bottom.

 

The beginning of each unit will be marked in blue.

Evaluations (e.g., tests, assignments, quizzes) will be marked in red.

Returned evaluations with be marked in purple.



Date Topic / Lesson
Extra Resources Assigned Work
J10 Mortgages   Pg. 567 # 8, 13 + question from lesson
J09 Annuities   p.531 #7, 8, 9, 10
p.541 #8, 9, 10
       
J07

Simple & Compound Interest

Present Value & Future Value

  p.508 # [2 - 5], 7, 13    
p.523 # [2], 6, 7, 10, 15
J06 Applications of Sequences & Series    
J03 Work Period - Summative    
J02 Arithmetic & Geometric Series  

P. 469 #2ac, 3ac, 4a, 7a, 20

P. 476 #1ac, 2ac, 3ac, 4, 12a, 17

J01 Recursive Formulae & Sequences    
M31 Arithmetic & Geometric Sequences    
M30 Intro to Patterns & Sequences    
  Unit 7 - Discrete Functions (Sequences & Series)    
M27
     
M26 Test - Periodic Functions    
       
M24 Review - Periodic Functions    
M20 Applications of Trigonometric Functions    

M19

M18

Trig Equations from Descriptions or Graphs    

M17

M16

Transformations of Trigonometric Functions

Geogebra Applet - Transformations of the Sine Function

Geogebra Applet - Transformations of the Cosine Function

p.374 # [2-3odd], 4ab, 5ab, 7a, 8b, 17, 18

p.387 #1-6 (skipping questions using 'radians' for angles ('pi' notation))

M13 Graphing Sine and Cosine Functions

Handout - Graphing Sine & Cosine Functions

Webpage - Relate Unit Circle to All Trig Ratios (complicated)

 
M12

Take Up Test

The Unit Circle

Learning the Unit Circle
 
M11 Test - Trigonometry    
M10 Review - Trigonometry    
M09 Introduction to Periodic Functions
handout
 
  Unit 5 - Periodic Functions    
M06 Solving Non-Linear Trigonometric Equations   p.408 #3abcde, 11
M05 Solving Linear Trigonometric Equations   p.408 # 1ace, 2adf, 5ab, 14agi
M04 Special Triangles & Exact Values Handout - Special Triangles & Exact Values Handout Questions + Worksheet
M03 The CAST Rule   p.281 # 3a-h
M02 Trig Identities 2   WS 3.3 # 2, 3, 4, 6, 9, 11, 12, 14, 15
A29 Trigonometric Identities   p.398 # 2odd, 4odd, 7odd, 10

A28

A27

Sine Law - Ambiguous Case Geogebra Applet - Sine Law Ambiguous Case
Review Ex.1 & 2 from p.303
p.308 # 1ace, 2ace, 3ceg, 4, 8, 13, 15
A26 Trigonometry of Any Angle   p.281# 1, 2odd (express in terms of acute angle first), 3odd, 5, 6, 9, 12*
A21 Angles in the Cartesian Plane   (Handout) # 3 - 9 (odd), 11a
A20 Trigonometric Word Problems
  p.274 # 13, 16, 18, 19
A19 Test - Exponential Functions    
A18 Review - Exponential Functions    
  Unit 5 - Trigonometric Functions    
A15

Introduction to Trigonometric Functions

Quiz - Exponential Functions

   
A14 Applications of Exponential Functions 2
handout - doubling period & half-life
handout # 1-9
A13 Applications of Exponential Functions 1
handout - applications of exponentials
handout # 1-4
A12 Solving Exponential Equations, Part 2    
A11 Solving Exponential Equations   photocopied handout # 1, 3, 4, 7, 9d
A08 Rational Exponents    
A07 Exponent Rules   p.9 #1‐9(odd), 12, 16
A06
Equations of Exponential Functions from Data and Graphs
  complete worksheet
A05 Transformations of Exponential Functions   complete Part C of handout
A04
Graphing & Rates of Change in Exponential Functions
   
A01 Test - Rational Functions    
M31 Review - Rational Functions Review - Rational Functions with Solutions  
M30  Graphing Exponential Functions
  Rates of Change in Exponential Functions
M29  Exploring Exponential Relationships
 
 
  Unit 4 - Exponential Functions    
M28 Applications of Rational Functions Returned Test - Unit 2 - Functions
complete worksheet
M25 Graphs of Rational Functions WS - Graphs of Rational Functions
complete worksheet
M24 Order of Operations with Rational Expressions  

p. 68 # 10 aceg, 14adf

see note for additional problems

M23 Adding & Subtracting Rational Expressions    
M22 Multiplying & Dividing Rational Expressions   p.50 # 5ad, 6adgh, 7ae, 8ab, 18
M21
Simplifying Rational Expressions
  p.40  # 1 - 3(odd) if needed
        # 4 - 6 (odd), 8, 13, 15
        # 16
  Unit 3 - Rational Functions    
M09 Test - Unit 2 - Functions    
M08 Review - Unit 2 - Functions Review Solutions
 
M07 Determining Functions from Graphs

Handout - Functions from Graphs

Worksheet - Functions from Graphs

Returned Test - Unit 1 - Quadratics

Worksheet
M04 Work Period - Transformations of Functions

Worksheet - Transformations of Functions & solutions

complete worksheet
M03 Horizontal Reflections & Scaling of Functions   p.240 # 1ef, 2cd, 4dfgh, 5cef, 9cd
M02 Transformations of Functions WS - Transformations of Functions see Worksheet
M01 Review - Transformations of Quadratics
Purplemath - Function Transformations Handout & Worksheet
F28 The Reciprocal Function   Worksheet
F25 no class - assembly    
F24 Restricting Domain & the Radical Function   p.215 # 14odd, 16odd, 24
F23 Inverses of Relations and Functions   p.215 # 1 - 3, 5odd, 11, 13odd
F22 Functions, Domain, and Range    p.178 # 1 - 3, 5, (6-10)ad, 15, 18
  Unit 2 - Functions    
F17 Test - Quadratics    
F16 Review    
F15 Families of Quadratics    
F14 Intersection of Quadratic & Linear Relations    
F11 Solving Quadratic Equations   p.128 # 2odd, 3ace, 4ace, 12ac, 13odd
p.130 # 17, 21, 23, 28ab, 29
F10

Working with Radicals... continued

Redo quiz at lunch or after school

  p.139 # (1 - 7)(odd)
F09 Working with Radicals   p.106 # (1 - 4)(odd)
F08 Using Zeroes to Find Vertex & Optimal Value Practice Quiz v2  
F07

Quiz - Review Material

Completing the Square with Fractions & Decimals

  p.113 # 1cegik, 3odd
F04 Review - Completing the Square Practice Quiz (for Monday) p.99 # 7odd, 8odd, 9odd
F03 Review - Factoring Quadratics   p.3 # 4odd, 5odd, 6odd
F02

Review - Multiplying Binomials

Distributed Textbooks

MPM2D Notes From 2009-2010 p.29 # 1acf, 2ace
p.31 # 8ac, 9ace, 10ae
p.33 # 11ace, 12ace, 13ace
F01

Welcome to MCR3U

Review - Lines & Parabolas

WS - Lines & Parabolas
 

 

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