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MCR 3U - Functions, Grade 11 (University), Fall 2009

Page history last edited by Peter Kim 4 days ago

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.

 

Armed with this new understanding of functions, students will be prepared for the MHF 4U (Advanced Functions) course, which is a prerequisite for MCV 4U (Vectors & Calculus).

 

See the course outline MCR 3U Outline

 

Prerequisite: Principles of Mathematics, Grade 10, Academic

 

For additional information regarding this course, visit the Ontario Ministry of Education website:

Ontario Curriculum MCR 3U (p. 43)

 

All Materials presented below are links to MS-Word documents.

 

NOTABLES:

 

09/01 Zap-a-Graph (1997 version) is available in the Handouts folder on the school server.
10/10  TIPS Exemplar with explanation 
   

 

Calendar of Topics:

 

Date Session Name Materials Assignment
09/01

Intro to MCR 3U

Per 'E' 2:12 - 2:47 

Student Info; Course Outline

 

Complete the Review of Skills
09/02

Discuss previous day's work

Exponents

Simplifying Polynomials

Simplifying Polynomials Review Complete worksheet (both sides)
09/03

Factoring: Common, Diff of Sq;

Perfect Sq.; Decomp/Grouping

Factoring Exercise Complete first 2 columns of #1,2,3,4
09/04 Factoring trinomials with a > 1 Factoring Worksheet

#1-3,5,8-11,13,14,16,17,19,21,25,26,

  28-30,32,34,36,39,40-43

09/07 Labour Day    

09/08

D1

Quiz - Factoring

Simplifying Rational Expressions and Restrictions

Multiplying / Dividing RE (extra wksht)

p. 354 #6c;7c;8;9;10

p. 359 #1,2 alternating

09/09

D2

Multiplying / Dividing R.E. (worksheet)

p. 359 #7-9 left column & #9f

p. 360 #14b; 15b; 17b,c
09/10 Addition / Subtraction of R.E. + / - R.E. (extra wksht) p. 369 #2b,c; 3a,d,g; 4a,c,f; 5a,d,g
09/11 More work w/ R.E.   p. 369 #9a-c; worksheet

09/14

D1

Quiz - + / - R.E.

Equivalent Algebraic Expressions

Worksheet

Part A: #2,7,8a,c,f

Part B: #6,10a

Part C: #2b,c; 4; 9

09/15

D2

Unit Review    
09/16 UNIT TEST - Algebraic Skills    
09/17 TIPS #1 - Equivalent Algebraic Exp. Prerequisite Skills for Functions Wksht

Prerequisite Skills

#1b; 2; 3a; 9c,d; 11-14

What is a: "relation"?

                "function"?

09/18

Defining relations; functions

Notation, conventions

Textbook & Wksht

Read pp. 217-231

p. 234 #2; 7c,e,f,g,h

p. 236 #9a,b,d; 16d,f

 

09/21

D1

Inverse Function Worksheet

p. 235 #6a,b,c,g;8a-g;12a-c;13a,b

 

 

Read pp. 247 - 260

p. 257 #7a-d,f,g; 8a-c;11a,b

p. 255 #1;4a-g

 

09/22

D2

UNIT TEST Pt 2 - Algebraic Skills

Catch up on Practice work

 

Complete HW from yesterday

Wksht #1,2,4alt;6 (Functions)

Wksht #28-31 (33) (Inverse)

09/23 Transformations of Functions (V & H Translations; V Stretches)

Transformations 1a&b

 

Complete Sheet 1a (practice Q's at bottom)
09/24

Terry Fox Run 10:45 a.m.

Quiz - Functions

Transformations of Functions

Transformations Wksht

 

Complete Sheet 1b (see yesterday)

Complete Worksheet for Tuesday

09/25 PA Day    

09/28

D2

Summary of Transformations

 

Transformations Summary


 

09/29

D1

Functions Transform Wksht Due

Transforming Equations using Base Functions

Volleyball Away - Depart 1:30 pm

Transforming Parent Functions

 
09/30

Using Function notation for Transformations

Function Notation  
10/01 Reciprocal Functions
Reciprocal Functions  
10/02

Functions Quiz

Writing Equations of Functions

Check Your Understanding

WS-7

Reverse(Transformations)

WS-7 Complete

Reverse (#3,6,7,10a,b;11)

10/05

D 1

Transformations Function Notation Summary w Base Functions

Base Functions

Notation of Functions

Complete the graphs of Base Functions

Complete the table

10/06

D2

Functions Review    
10/07 UNIT TEST - Functions    
10/08 Using transformations of functions to solve problems Problems Worksheet Complete one group solution; complete remainder for Oct. 14
10/09 Football - class cancelled    
10/12 Thanksgiving    
10/13

TIPS #2 - Functions

   
10/14

Parent-Teacher Interviews

No Class

 

 

10/15

Vball team away for day

Quadratic Functions

Quadratic F'ns Review

 

 

Transformations of Quadratic F'ns WKSHT

p. 211 #5, 6, 7, 12

p. 288 #10

p. 291 #24 

Complete Worksheet "Transformations..." 

10/16

Completing the square

Read p. 212

Complete worksheet

 

p. 221 #8 alt

p. 306 #6a-f; 7; 8; 10

 

10/19

D2

Max/Min of Quadratics

Max/Min Problems

Worksheet

Worksheet: #1,4,8,9,10,11,12,15

p. 314 #4,7,9,12

10/20

D1

Solving Quadratics Worksheet #1,2,4,5,7
10/21

Zeroes of a Quadratic

Related Concepts

#8,9,10,13,15
10/22

Volleyball at SJHS

Quiz - Quadratic Functions

Zeroes of Quadratics

Worksheet

#4,6,7,8,9,10,13,14,15,16
10/23

Families of Quadratics:

 

factored form

 

vertex form

 

standard form

 

Zap-a-Graph

Families of Quadratic Functions

Handout (H/O)

 
H/O:#4a,c; 5a,d; 6; 8; 9; 10; 14;16 

10/26

D1

Developing Equations

   

10/27

D2

Review of Quadratic Functions

Quadratic Functions Review p1 & p2

(Partial) Solutions

Text: p. 378 #3b,d,f; 5, 9, 10

Wksht: #2,4,5,9,10,12,13,15,16,17,18,19,(20*)

 

10/28 UNIT TEST - Quadratic Functions     
10/29

Introduction to Exponential Functions

Exponent Rules reviewed

Worksheet  

10/30

Buyout (Emily Rose)

Understanding Expo F'ns 

 

Complete investigation

Practice Q #

11/02 PA Day    

11/03

D2

Discuss Exponential Functions    

11/04

D1

     
11/05 Transformations of Exponential functions    
11/06 End-of-Term Test    

11/09

D2

Application of exponential functions Worksheet Q#1-5

11/10

D1

Work Period

Modelling exponential functions

Worksheet Q#8,9,10,11,12,13,15,16
11/11

Quiz Exponential F'ns

Inverse function (of expon'l)

Solving for an exponent

  p. 94 #3e,g,h; 4, 7
11/12

Using logs, ln

Work period

textbook p. 94 #8a-e; 12-17,20,21
11/13 Review H/O  

11/16

D1

Exponential F'ns Test    
11/17 Trigonometry Revisited

Applied Trig H/O

Complete and answer practice Q's (Text)
11/18 Ambiguous Triangles Textbook p. 503 p. 511 #5a-d; #6a-d; #8a-e
11/19 TIPS - Expo Functions    

11/20

PD Day    

 

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