2, 3, 4, 6, 9, 11, 12, 14, 15

handout # 2, 3, 4, 7, 9, 11, 12, 13

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     
                
D05     Constructing the Unit Circle  AM  PM           handout # 2, 3, 4, 7, 9, 11, 12, 13     
D04     Introduction to Periodic Functions  AM  PM           p.359 # 1, 2, 4, 5, 7, 8, 10     
      Unit 6 - Periodic Functions                 
D03     Test - Trigonometry                 
N30     Review - Trigonometry     Formula Sheet for Test     Handout - Trigonometry Review     
N29     Solving Trigonometric Equations (quadratic)  AM  PM           p.408 # 3abde, 6a, 11     
N28     Solving Trigonometric Equations (linear)  AM  PM           p.408 # 1ace, 2adf, 5ab, 14agi
      
N27     Trigonometric Identities, Part 2  AM  PM     

Video Tutorial (poor form)

Video Tutorial (some extra concepts) (1 of 4)
    

WS A # 2, 3, 4, 6, 9, 11, 12, 14, 15

WS 3.3 Trig Identities (solutions)
    
N26     Trigonometric Identities, Part 1  AM  PM     p.398 # 2odd, 4odd, 7odd, 10     
N23     Special Triangles & Exact Values  AM  PM           Attached to Handout     
N22     Trigonometry of Any Angle - CAST Rule  AM  PM           

WS # 1-4 (answers)

(typo in 1a on handout)
    
N21     Work Period & Catch Up                 
N20     Sine Law - Ambiguous Case  AM  PM     

Geogebra Applet - Ambiguous Case of the Sine Law

Some links to similar resources

Video Tutorial: Ambiguous Case
    p.308 # 1ace, 2ae, 3cg, 4, 8, 12, 13     
N19     Review Sine & Cosine Law  AM  PM           p.290 #[1-­3], 4de, 5ac, 6, 8, 9, 10, 14     
N15     Obtuse Angles in Cartesian Plane  AM  PM           

p.281 # 1, 2odd (express in terms of RAA first), 3odd, 5, 6, 9, 12*
    
N14     Angles in Cartesian (x-y) Plane  AM  PM     Geogebra Applet - Principal & Related Acute Angle      

see Handout

# (3 - 9) (odd letters), 11a
    
N13     2D & 3D Right Angle Problems  AM  PM           p.273 # 11, 12, 13, 16, 19     
N12      Review - Right Angle Trigonometry  AM  PM            p.272 # (1-­10)(odd), 11, 12      
      Unit 5 - Trigonometry                 
N09     Test - Exponential Functions                 

N08

N07
    Review - Exponential Functions  AM  PM           Handout - Review - Exponential Functions     
N07     Applications Part 2  AM  PM           WS # 1 - 9     

N06

N05
    Applications Part 1  AM  PM           

WS # 1 - 4

Supplemental Problems (answers)

start review for test!
    
N02     Solving Exponential Equations  AM  PM           p.23 (1-11, 19, 20)(odd letters, ace...)     

N01

O31
    Equations from Graphs  AM  PM           complete worksheet     
O30     Transformations of Exponential Functions  AM  PM           Worksheet     
                        
O25     Graphing Exponential Functions  AM  PM           complete handout     
O24     Rational Exponents  AM  PM           

handout # (1-­6)(odd), 8, 10, 12, 14

answers to homework handout
    
O23     Exponent Laws for Integer Exponents  AM  PM           p.9 #1‐9(odd), 12, 16     
      Unit 4 - Exponential Functions                 
O22     Test - Rational Functions                 
O19     Review - Rational Expressions           Complete review & submit on test day  (Review + Answers)     
O18     Word Problems Involving Rational Expressions  AM  PM                 
O17     

Order of Operations with Rational Expressions*

AM  PM
          

p. 68  # 10 aceg, 14adf

+ worksheet (w/ answers)
    
O15      Add & Subtract Rational Expressions  AM  PM     

Video Tutorial - Add & Subtract Rational Expressions

Video Tutorial - Add & Subtract Rational Expressions, #2
    

p.58 # 1c, 4c, 5g, 6ac, 10

p.67 # 5c, 6ace, 8ace
      
O12      Multiply & Divide Rational Expressions  AM  PM     Video Tutorial - Multiply & Divide Rational Expressions     p.50  # 5ad, 6adgh, 7ae, 8ab, 18      
O11     Equivalent Expressions  AM  PM     Video Tutorial - Simplifying Rationals & Equivalent Expressions     p.40 # 1-3(odd), 4-6(odd), 8, 13, 15, 16     
      Unit 3 - Rational Functions                 
O10      Test - Functions                 
O09      Review - Functions                 
O04     Thinking Task - Functions, Transformations, Inverses                 
O03      

Transformations from Graphs

AM PM
          WS - Determine Transformations from Graphs (solutions)     
O01     Equivalent Transformations  AM  PM           WS transformations (solutions)     20
S28     Inverse Functions  AM  PM     Video Tutorial: Function Inverses      p.215 # 1, 2, 3abci, 5odd, 8odd, 14(i)(iii)(v), 16(i)(iii)(v)     19
S27     

Horizontal Reflect & Stretch

AM PM
          

p.229 # 2cde, 8, 11cdf

p.240 # 1ef, 2cd, 4dfgh, 5cef, 9cd
    18
S26     

Transformations  AM  PM

(same as from Gr.10)
                17
S25     Parent Functions  AM  PM     Video Tutorial: Graphing a Radical Function     

p.179 # 12, 21, 25, 26, 32*

+ worksheet (solutions)
    16
S24     Functions, Domain, Range  AM  PM     

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     15
      Unit 2 - Functions                 
S21     Test - Quadratics                 14

S20

S19
    Review - Quadratics                 13
S18     Families of Quadratics  AM  PM           Worksheet     11
S17     Intersection of Quadratics & Lines  AM  PM           Worksheet     10
S14     

Solving Quadratic Equations with Exact Solutions

AM  PM
          p.128 # 2ace, 3ace, 4ace, 12ac, 13ace
p.130 # 17, 23, 29     9
S13     Working with Radicals  AM  PM           p.106 # (1 ­ - 4)(odd)
p.139 # (1 ­ - 6)(odd)     8
S12     Optimal Values by Factoring  AM  PM           p.115 # 2f, 3bcfgk, 9, 13, 15, 18     7
S11     

Completing the Square w/ Fractions & Decimals

AM   PM
          p.115 # 1cegik, 3odd, 7, 14, 16     6
S10     Completing the Square  AM  PM           p.99 # 7odd, 8odd, 9odd     5
S07     

Review - Factoring Quadratic Relations

Edits: AM  PM
    

Factoring Practice

(2 sheets, version A, B,

with solutions)
    p.3 # 4odd, 5odd, 6odd     4
S06     

Review - Solving Linear Systems

Review - Expanding Binomial Expressions

Edits:  AM  PM
          p.29 # 1acf, 2ace
p.31 # 8ac, 9ace, 10ae
p.33 # 11ace, 12ace, 13ace     3
S05     

Review - Linear & Quadratic Relations

Edits:  AM  PM
    Handout - Properties of Linear & Quadratic Relations     

Complete quizzes & check online solutions

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

Gr.10 Quiz - Properties of Quadratics (w/ Solutions)
    2
S04     Introduction to MCR3U (short class)     MPM2D Course Notes -  Fall 2011-2012     Review notes from MPM2D (ha!), focus on quadratics     1
      Unit 1 - Review & Quadratics                 
            

Previous Course Notes:

Winter 2011-2012

Winter 2010-2011
          

2, 3, 4, 6, 9, 11, 12, 14, 15

handout # 2, 3, 4, 7, 9, 11, 12, 13

p.374 # 1ad, 3ade, 6abe
p.387 # 1abceh, 3ad