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MCR3U Winter 2011-2012

Page history last edited by Steve Sweeney 7 years, 4 months 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
 
J26
Tuesday, June 26 - Final Exam
     
 

Mr. Sweeney's Exam Supervision Schedule

(not available for help)

revised!

Thursday, June 21, 9am - 12pm

Monday, June 25, 9am - 12pm

   

J19

J18

J15

Summative Assignment Due!

Review - Final Exam

 

Course Review Package  p.165
    Ch.1 # 1def, 2cd, 3, 6def, 7
    Ch.2 # (2,3,4)(b), 5, 6, 7cde
p.323
    Ch.3 # 1, 2, 3, 4, 5a, 6bdf
    Ch.4 # 1, 2, 3, 4ab, 6
p.493
    Ch.5 # 3, 4, 5, 6, 8
    Ch.6 # 2, 3, 4, 5, 6, 7, 10
p.701
    Ch.7 # 1, 2 
 
J14 Test - Finite/Discrete Functions Review Handout - Discrete Functions & Financial Applications
   
J13 Mortgages & Equivalent Interest
 

p.567 # 8, 13 + extra question

 

J12

J11

Ordinary Annuities
  p.531 #7, 8, 9, 10
p.541 #8, 9, 10
 
J08 Simple & Compound Interest   p.508 # [2-5], 7, 13
p.523 # [2], 6, 7, 10, 15
 
J07 Arithmetic & Geometric Series   p.469 #2ac, 3ac, 4a, 7a, 20
p.476 #1ac, 2ac, 3ac, 4, 12a, 17
 
J06 Recursive Sequences   p.461 #[1-5][basics], 8, 9, 10, 12  
J05 Arithmetic & Geometric Sequences   p.441 # [1-4][basics], 5-8(adg), 9, 12, 15, 18
p.452 # [1-4][basics], 5-7(adf), 9, 13, 18
 
J04 Intro to Sequences 
see note from last year

Read p.428-432

p.433 #1ace, 2ace, 3bdgk, 5a, 8

 
  Unit 7 - Finite Functions      
J01 Test - Periodic Functions      
M31 Review - Periodic Functions Review Worksheet submit review on test day  
M30 Activity - Modelling Periodic Functions      

M29

M28

Applications of Periodic Functions handout (textbook photocopy) & answers
   
M25 Practice Test & Solutions      

M24

Determining Equations from Graphs   worksheet  
M23 Graphing Trigonometric Functions using Properties   p.387 # 1abceh, 2abdeg, 3bd, 5abc, 6ab  
M22 Transformations of Trigonometric Functions

Geogebra Applet - Transformations of the Sine Function

Geogebra Applet - Transformations of the Cosine Function


p.374 # 2odd, 3odd, 4ab, 5ab, 7a, 8b, 17, 18
 
M18

Unit Circle

Summative Discussion

Learning the Unit Circle
   
M17 Test 5 - Trigonometry      
M16 Review - Trigonometry Review Handout    
M15 Graphs of Trigonometric Functions Handout    
M14 Introduction to Periodic Functions Handout    
  Unit 6 - Periodic Functions      
M11 Spare (?) - Work on review or summative Summative Handout    
M10 Quadratic Trigonometric Equations      
M09 Linear Trigonometric Equations      
M08 Trigonometric Identities Part 2      
M07 Trigonometric Identities Part 1 WS 3.3 Trig Identities (solutions)
   
M04 Review Previous Lessons
     
M03 Special Triangles & Exact Values      
M02 Angles in the Cartesian Plane - CAST Rule Handout Answers Handout  
M01 Sine Law - Ambiguous Case Geogebra Applet - Sine Law Ambiguous Case  
   
A30 Trigonometric Ratios of Obtuse Angles      
A26 Angles in the Cartesian Plane Geogebra Applet - Principal & Related Acute Angle
(Handout) p.422 # 3-9 (odd), 11a
 
A25
Review Trigonometry Word Problems
 

p.274 # 13, 16, 18, 19

(focus on setting up question & diagrams)

 
A24
Test - Exponential Functions     47
A23 Review Right-Angle Trigonometry
  p.272 # 1-10(odd), 11, 12
46
  Unit 5 - Trigonometry      
A20 Review - Day 2     45

A19

A18

Applications 2 - Half-Life and Doubling Time Handout - Doubling & Half-Life
  44
A17 Review - Day 1     43
A16 Applications of Exponential Functions Handout - Applications of Exponentials
  42
A13 Solving Exponential Equations   p.23 # 1 - 11(odd) 41
A12 Rational Exponents  Returned Test - Rational Functions
handout # (1­-6)(odd), 8, 10, 12, 14  40
A11 Equations from Key Features & Graphs   exercises at end of handout 39

A10

A05

Transformations of Exponential Functions   finish handout
38
A04 Graphing Exponential Functions   finish handout
36
A03
Activity - Explore Exponential Relationships
  Activity # 4, 5
35
A02 Test - Rational Functions     34
M30 Review Exponent Laws
    33
  Unit 4 - Exponential Functions      
M29 Shortened class for Parent-Teacher Interviews     32
M28 Review - Rational Functions
Review - Rational Functions    31
M27 Applications of Rational Expressions Returned Test - Functions
see worksheet 30
M26 Order of Operations w/ Rational Expressions   p.68 # 10aceg, 14adf 29
M23 Add & Subtract Rational Expressions   p.58 # 1c, 4c, 5g, 6ac, 10
p.67 # 5c, 6ace, 8ace
28
M22 Multiply & Divide Rational Expressions   p.50 # 5ad, 6adgh, 7ae, 8ab, 18 27

M21

M20

Equivalent Functions & Restrictions   p.40 # 1-3(odd) (fundamentals)
# 4-6(odd), 8, 13, 15
# 16
26
  Unit 3 - Rational Functions      
M19
Assignment - Functions & Inverses
    24
M08 Test - Functions & Relations     23

M07

M06

Review - Functions & Relations WS - Transformations from Graphs (w/ solutions)
  22

M06

M05

Transformations from Graphs

Handout - Transformations from Graphs

WS - Transformations from Graphs 

complete WS
21
M02

Function Inverses (finish from yesterday)

Assessment Quiz - Function & Relations

WS - Transformations of Functions (w Solutions)    19
M01 Function Inverses Returned Test - Review & Quadratics p.215 # 1 - 3, 5odd, 11, 13odd
18
F29 Horizontal Reflection & Scaling of Functions  

p.240 # 1ef, 2cd, 4dfgh, 5cef, 9cd

WS - Horizontal Scaling

17

F28

F27

Transformations of Functions

WS - Transformations of Quadratics

WS - Graphing Transformations of Quadratics

  16
F23 Radical & Reciprocal Functions Video Tutorial: Graphing a Radical Function
p.180 # 6 - 10, 18
Worksheet: Function Notation
14
F22 Functions, Domain & Range

Video Tutorial: Is the Relation a Function (given Set)?

Video Tutorial: Is the Relation a Function (given Scatter Plot)?

What is a function? (covers multiple lessons)

p.178 # 1 3, 5, (6-10)(ad), 15, 18 13
  Unit 2 - Functions      
F21 Test - Review & Quadratics     12
F16 Review - Quadratics   WS - Review
11
F14 Families of Quadratics   worksheet # 4 - 7
10
F13 Solving Intersection of Quadratics & Lines   worksheet 9
F10 Solving Quadratic Equations   p.128 # 2odd, 3ace, 4ace, 12ac, 13odd
p.130 # 17, 21, 23, 28ab, 29
8
F09 Radicals   p.106 # (1-4)(odd)
p.139 # (1-7)(odd)
7
F08

Vertex from Factored Form

Practice Quiz - Quadratic Skills

  p.115 # 2f, 3bcfgk, 9, 13, 15, 18
6
F07 Completing the Square - Fractions & Decimals   p.115 # 1cegik, 3odd, 7, 14, 16 5
F06 Review - Completing the Square   p.99 # 7(odd), 8(odd), 9(odd) 4
F03 Review - Factoring Quadratics

Factoring Practice

(2 sheets, version A, B,

with solutions)

p.3 # 4(odd), 5(odd), 6(odd)
"odd" = "odd letters" = aceg...
3
F02 Review - Linear Systems & Expanding Binomials   p.29 # 1acf, 2ace
p.31 # 8ac, 9ace, 10ae
p.33 # 11ace, 12ace, 13ace
2
F01

Welcome to MCR3U

Review - Properties of Linear & Quadratic Relations

Gr.10 Quiz - Linear Systems (w/ Answers)

Gr.10 Quiz - Properties of Quadratics (w/ Solutions)

Attempt both quizzes
1
  Unit 1 - Review & Quadratics      
    Previous Course Notes:  Winter 2010-2011
   

 

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