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MCR3U Nelson 11

Page history last edited by Jesse R Linseman 1 year, 7 months ago Saved with comment

MCR3U - Functions (University Preparation)

 

This course introduces the mathematical concept of the function by extending student 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.

 

Chapter Lesson Day Status Topic / Lesson
Extra Resources

Assigned Work:

Nelson Functions 11 (2007)

Assigned Work:

MHR Mathematics 11 (2001)

0.00
0.00      Unit 0 - Review & Quadratics      
0.01 0.01
1
 

Review - Linear & Quadratic Relations

classNote

videoLesson

0.02      

Review - Solve Linear Equations & Expand Quadratics

classNote

 
  • p.29 # 1acf, 2ace
  • p.31 # 8ac, 9ace, 10ae
  • p.33 # 11ace, 12ace, 13ace
0.03
     

Review - Factoring

  • p.556 # 1 - 3
  • worksheets (do as many, or few, as you need)
p.3 # 4odd, 5odd, 6odd
1.00
1.00      Unit 1 - Introduction to Functions Khan Academy: Introduction to Functions    
1.01 1.01
4
  Relations and Functions Lesson: Domain Range & Function Notation
p.11 # 1 - 3, 4, 6 - 13
 
1.02 1.02
5
  Function Notation p.22 # 1 - 3, 4 - 7, 11 - 13, 16, 17, 19*

1.03 1.03
8
need HW
Exploring Properties of Parent Functions    
1.04
1.04
6
need video

Domain and Range

p.35 # 2-5, 8, 10, 11, 12cd, 13, 17*
p.178 # 1-3, 5, (6-10)(ad), 12, 15, 18

1.05

1.05
7

rework

too long?

Function Inverses

p.46 # 1, 2abc, 3, 4bc, 6bdf, 10, 12, 16, 17 p.215 # 1, 2, 3abci, 5odd, 8odd, 14(i)(iii)(v), 16(i)(iii)(v)
1.06 1.06
9
use old HW?

Transformations of Functions

MPM2D: Quadratics & Parabolas

complete handout

p.51 # 1-3

part 1: p.241 # 8a, 9a, 5ab, 4ab

part 2: p.241 # 8b, 9b, 5d, 4ce

1.03
    better H/W?

Graphs of Parent Functions

Video: Graphs of Parent Functions

VT: Graphing a Radical Function  

 
1.07      

Horizontal vs Vertical Scaling & Reflection

WS - Transforming Graphs (with solutions)
  worksheet + any previous homework
1.07      

Transformations - Horizontal Reflection & Scaling

WS - Horizontal Transformations w/ Answers  

p.229 # 2cde, 8, 11cdf

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

1.081      

Transformations - Summary

p.70 # 4, 6, 10 (describe transformations)
+ p.70 # (7­9)b (sketch/graph using transformations)
+ p.70 # 16­18, 22*
p.240 # 3, 7, 16ef, 17
+ worksheet from yesterday
+ (optional) worksheet on web page
1.082
     

Transformations - Equations from Graphs

  worksheet
1.98      

Review - Introduction to Functions

    Review Sheet
1.99
      Test - Introduction to Functions
     
2.00
      Unit 2: Equivalent Algebraic Expressions
     
2.01       Adding and Subtracting Polynomials      
2.02       Multiplying Polynomials      
2.03       Factoring Polynomials      
2.04      

Equivalent Expressions & Restrictions

Video Tutorial - Simplifying Rationals & Equivalent Expressions
  p.40 # 1 - 3 (odd) (fundamentals - optional)
# 4 - 6 (odd), 8, 13, 15
# 16
2.05       Exploring Graphs of Rational Functions      
2.061      

Multiplying Rational Expressions

Video Tutorial - Multiply & Divide Rational Expressions
 

p.50 # 5ad, 6adgh, 7ae, 8ab, 18

2.07
     

Adding & Subtracting Expressions

 

 

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

p.67 # 5c, 6ace, 8ace

2.901      

Order of Operations

   

p.68 # 10aceg, 14adf

worksheet

2.902

2.903

     

Application Problems

     
2.981      

Review: Equivalent Algebraic Expressions

 

handout with answers

p.87 # 21 – 27

p.248 #11, 12

2.99       Test: Equivalent Algebraic Expressions
     
3.00
      Unit 3: Quadratic Functions
     
3.00      

Completing the Square with Fractions

classNote

  p.115 # 1cegik, 2odd, 3odd, 7, 14, 16
3.00
     

Review - Completing the Square

classNote

  p.99 # (7, 8, 9)(odd)
3.02
     

Optimal Value using Symmetry

classNote

videoLesson
  p.115 # 2bfhl, 3bcgk, 9, 13, 15, 17
3.04      

Radicals

classNote

 

p.106 # (1 - 4)(odd)

p.139 # (1 - 7)(odd), 9, 10a, 14

3.05
     

Solving Quadratic Equations

classNote

p.177 # 1, 2, 7-10, 13, 16*  p.128 # 2ace, 3ace, 4ace, 12ac
p.130 # 17, 23, 29
3.07
     

Families of Quadratics

classNote

 

handout+worksheet

worksheet#2

3.08
     

Intersections of Parabolas & Lines

classNote

p.198 # 2ac, 3, 4ac, 5, 8, 9, 10, 11
worksheet
3.98       Review quadratics quick reference
  handout
3.99       Test: Review & Quadratics      
4.00      

Model Exponential Equations from Graphs

    Handout # 1-4
4.00
     

Solving Exponential Equations Algebraically

    p.23 # (1-11, 19, 20)(odd)
4.00      

Equations from Graphs

handout
 
4.00      

Exploring Graphs of Exponential Functions

VT - Graphing Exponential Functions
  finish handout
4.00
      Unit 4 - Exponential Functions      
4.02
     

Review Exponent Laws

VT - Exponent Laws

  p.9 #(1-9)(odd letters), 12, 16
4.03
     

Rational Exponents

VT - Rational Exponents  

handout # (1-­6)(odd), 8, 10, 12, 14 

answers to homework handout

4.06      

Transformations of Exponential Functions

handout with completed notes
 

finish handout (including WS on last page)

WS - Transformations of Exponentials (w/ answers)

4.07      

Applications - Half-Life & Doubling Period

 
  Handout # 1-9

4.981

4.982

      Review

Extra - Review - Exponential Functions

  Handout - Review - Exponential Functions
4.99       Test      
5.00      

Angles in the Cartesian Plane

extra handout 2 and 3 (with answers)
  handout (with answers)
5.00      

Word Problems in Trigonometry

VT (SS) - p.275 # 19 (pyramid)

VT - Bearing Problems (author has many tutorials)

 

p.274 # 11, 12 (previously assigned)

p.274 # 13, 16, 19

5.00
      Unit 5 - Trigonometry  Khan Academy - Basic Trigonometry
   
5.01      

Review Right-Angle Trigonometry

VT - KA: Right-Angle Trigonometry

VT - KA: Using Soh Cah Toa

Interactive Quiz - KA: Solve Right Triangles

VT - KA: Trig with Exact Values

Interactive Quiz - KA: Solve with Exact Values

WS - Right Angle Trig (w/ Answers)

  p.272 # (1­-10)(odd), 11, 12
5.02
     

Special Triangles & Exact Values

VT - KA: Trig with Exact Values   

Complete Handout Questions,

p.348 # 3

5.03
     

Trigonometry of Obtuse Angles

    p.281 # 1
# 2odd (express in terms of RAA first)
# 3odd, 5, 6, 9, 12*
5.04      

Trigonometry of Any Angle (CAST Rule)

WS - ESPA - Cartesian Plane

(required if you did not get perfect on quiz)

VT (SS) - Exercises w/ CAST & Trig Ratios (TOO LOUD!)

 

WS # 1-4 (answers)

p.348 # 1, 2, 6, 7

note: 2*pi = 360 degrees 

5.042      

Solving Trig Equations using CAST

 

p.408 # 1ace, 2bce, 5ab, 14agi

5.051      

Trigonometric Identities, Pt1

    p.398 # 2odd, 4odd, 7odd, 10
5.052      

Trigonometric Identities, Pt2

How the 6 Major Trig Functions Relate

10 Secret Trig Functions 

 

WS Part A

WS 3.3 Trig Identities(solutions)

5.062      

Ambiguous Case of Sine Law

    Review Ex.1 & 2 from p.303
p.308 # 1ace, 2ae, 3cg, 4, 8, 12, 13

5.06

5.07

     

Review Sine & Cosine Law

VT (SS) - p.294 # 14 (with PDF note of solution)

WS - Sine & Cosine Law (w/ some answers)

MPM2D: Sine Law video lesson

MPM2D Cosine Law video lesson

 

p.290 # 1-­3 (only do these if having difficulty)

p.290 # 4de, 5ac, 6, 8, 9, 10, 14

5.90      

Solving Non-Linear Trig Equations

VT (SS) - Solving Complex Trig Equation

(PDF note of solution)

  p.408 # 3abd, 11, 14ace
5.98       Review: Trigonometry     Review Handout (with Answers)
5.99       Test: Trigonometry      
6.00
     

The Unit Circle

Interactive Applet - Explore the Unit Circle     handout # 2, 3, 4, 7, 9, 11, 12, 13
6.00      

Intro to Periodic Functions

handout
 

p.359 #1, 2, 4, 5, 7, 8, 10

6.00       Unit 6: Periodic Functions      
6.051      

Graphing Sinusoidal by Transformations

VT (SS) - Graphing Sinusoidal by Transformations

Geogebra Applet - Graphing Sine & Cosine in Degrees

 

complete worksheet

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

p.387 # 1abceh, 3ad

6.052      

Graphing Sinusoidal by Key Properties

 
 

p.374 # 2ace, 12bc

p.387 # 2abdeg, 3bd, 5abc, 6ab, 10ab

6.061      

Equations from Graphs

VT (SS) - Determining Sinusoidal Equations from Graphs

(PDF of Note Taken During Video Tutorial)

 

p.375 # 7ab, 8b

worksheet (answers)

6.062

     

Applications of Periodic Functions

worksheet (extra) + hints

Solutions: 1 2 3 4 5 6 7 8 9 10

Why is Period = Circumference in Q#9?

How Does a Circle Relate to Sinusoidal Graphs?

 

WS # 1, 2 

p.376 # 13, 17, 18ab 

p.388 # 14, 15, 16

(warning: textbook Q & A in radians)

6.063       work period    
  • complete homework
  • start review
  • summative

6.981

6.982

      Review

Review Handout (review answers)

Q # 8

   
6.99
      Test: Periodic Functions      
7.00
      Unit 7 - Discrete Functions      

7.01

7.02

     

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

7.03      

Patterns & Sequences

    p.433 #1ace, 2ace, 3bdgk, 5a, 8
7.04      

Recursive Sequences

(video from class - Nature by Numbers)

[VT - Pascal's Triangle & Binomial Expansion]

  p.461 #[1-5] basics, 8, 9, 10, 12

7.05

7.06

     

Arithmetic & Geometric Series

   

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

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

8.01

8.02

     

Simple & Compound Interest

   

p.508 # 2 - 5, 7, 11, 13

8.02

8.03

     

Present & Future Value

   

p.523 # [2], 6, 7, 9, 10, 15

note:

for #10: answer is $4710.92

for #15: GST = 7%, PST = 8%

8.04

8.05

     

Ordinary Annuities

   

p.531 # 7, 8, 9, 10

p.541 # 8, 10

8.98       Review - Discrete & Financial Functions    

see worksheet for:

  • textbook problems
  • supplementary problems
8.99       Test - Discrete & Financial Functions      
9.01       Summative Assignment - Work Period (Room 220)

Approved Art List

LibreOffice (was OpenOffice) - Free Download

LibreOffice Draw Document - Grid - Portrait

LibreOffice Draw Document - Grid - Landscape

VT (SS) - Combining an Image with a Grid in a Document

VT (SS) - Part 2 - Choosing Axes, Finding Linear Equation

 
  • search (online) for art matching course graphs
  • note title, author/artist, and location
  • email me a link or paste image of your selected art
  • try to save a copy to your P: drive
  • paste image (portrait/landscape) into document 
  • bring grid to front, modify for maximum visibility
  • print copy, sketch out possible functions
10.01       Review: Final Exam      
10.02       Final Exam

Unit Reviews:

  1. Quadratics
  2. Functions
  3. Rational Functions
  4. Exponential Functions
  5. Trigonometry
  6. Periodic Functions
  7. Discrete Functions
 

 

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