-
If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.
-
You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!
| |
MCR3U - 2018-2019 S2
Page history
last edited
by Steve Sweeney 1 year, 5 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
Text: McGraw-Hill Ryerson Mathematics 11 (2001)
|
| Fri, June 21 |
Final Exam |
Unit Reviews:
- Quadratics
- Functions
- Rational Functions
- Exponential Functions
- Trigonometry
- Periodic Functions
- Discrete Functions
|
|
|
J18
J17
|
Review: Final Exam |
|
|
| J14 |
Test - Discrete & Financial Functions |
|
|
| J13 |
Review - Discrete & Financial Functions |
|
see worksheet for:
- textbook problems
- supplementary problems
|
| J12 |
Ordinary Annuities
|
|
p.531 # 7, 8, 9, 10
p.541 # 8, 10
|
| J11 |
Present & Future Value
|
|
p.523 # [2], 6, 7, 9, 10, 15
note:
for #10: answer is $4710.92
for #15: GST = 7%, PST = 8%
|
| J10 |
Simple & Compound Interest
|
|
p.508 # 2 - 5, 7, 11, 13
|
| J09 |
Arithmetic & Geometric Series
|
|
p.469 #2ac, 3ac, 4a, 7a, 20
p.476 #1ac, 2ac, 3ac, 4, 12a, 17
|
| J06 |
Recursive Sequences
|
(video from class - Nature by Numbers)
[VT - Pascal's Triangle & Binomial Expansion]
|
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 |
Patterns & Sequences
|
|
p.433 #1ace, 2ace, 3bdgk, 5a, 8 |
| |
Unit 7 - Discrete Functions |
|
|
J03
|
Test: Periodic Functions |
|
|
|
M31
M30
|
Review |
Review Handout (review answers)
Q # 8
|
|
| M29 |
work period |
|
- complete homework
- start review
- summative
|
|
M28
|
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)
|
| M27 |
Equations from Graphs
|
VT (SS) - Determining Sinusoidal Equations from Graphs
(PDF of Note Taken During Video Tutorial)
|
p.375 # 7ab, 8b
+ worksheet (answers)
|
| M24 |
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
|
| M22 |
Graphing Sinusoidal by Key Properties
|
|
p.374 # 2ace, 12bc
p.387 # 2abdeg, 3bd, 5abc, 6ab, 10ab
|
| M21 |
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
|
M17
|
The Unit Circle
|
Interactive Applet - Explore the Unit Circle |
handout # 2, 3, 4, 7, 9, 11, 12, 13 |
| M16 |
Intro to Periodic Functions
|
handout
|
p.359 #1, 2, 4, 5, 7, 8, 10
|
| M15 |
Test: Trigonometry |
|
|
| M14 |
Review: Trigonometry |
|
Review Handout (with Answers)
|
| M13 |
Solving Non-Linear Trig Equations
|
VT (SS) - Solving Complex Trig Equation
(PDF note of solution)
|
p.408 # 3abd, 11, 14ace |
| M10 |
Trigonometric Identities, Pt2
|
How the 6 Major Trig Functions Relate
10 Secret Trig Functions
|
WS Part A
WS 3.3 Trig Identities(solutions)
|
| M09 |
Trigonometric Identities, Pt1
|
|
p.398 # 2odd, 4odd, 7odd, 10 |
M08
|
Special Triangles & Exact Values
|
VT - KA: Trig with Exact Values |
Complete Handout Questions,
p.348 # 3
|
| M07 |
Solving Trig Equations using CAST
|
|
p.408 # 1ace, 2bce, 5ab, 14agi
|
| M06 |
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
|
| M03 |
Ambiguous Case of Sine Law
|
|
Review Ex.1 & 2 from p.303
p.308 # 1ace, 2ae, 3cg, 4, 8, 12, 13 |
M02
|
Trigonometry of Obtuse Angles
|
|
p.281 # 1
# 2odd (express in terms of RAA first)
# 3odd, 5, 6, 9, 12*
|
| M01 |
Angles in the Cartesian Plane
|
extra handout 2 and 3 (with answers)
|
handout (with answers) |
A30
|
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
|
|
A29
A26
|
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
|
| A25 |
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
|
| |
Unit 5 - Trigonometry |
Khan Academy - Basic Trigonometry
|
|
| A24 |
Test |
|
|
|
A23
A18
|
Review |
Extra - Review - Exponential Functions
|
Handout - Review - Exponential Functions
|
|
A17
A16
|
Applications - Half-Life & Doubling Period
|
|
Handout # 1-9 |
| A15 |
Model Exponential Equations from Graphs
|
|
Handout # 1-4 |
A10
|
Solving Exponential Equations Algebraically
|
|
p.23 # (1-11, 19, 20)(odd) |
| A09 |
Equations from Graphs
|
handout
|
|
| A08 |
Transformations of Exponential Functions
|
handout with completed notes
|
finish handout (including WS on last page)
WS - Transformations of Exponentials (w/ answers)
|
| A05 |
Exploring Graphs of Exponential Functions
|
VT - Graphing Exponential Functions
|
finish handout |
A04
|
Rational Exponents
|
VT - Rational Exponents |
handout # (1-6)(odd), 8, 10, 12, 14
answers to homework handout
|
A03
|
Review Exponent Laws
|
VT - Exponent Laws
|
p.9 #(1-9)(odd letters), 12, 16 |
| |
Unit 4 - Exponential Functions |
|
|
| A02 |
Test: Rational Functions |
|
|
| A01 |
Review
|
|
handout with answers
p.87 # 21 – 27
p.248 #11, 12
|
|
M29
M28
|
Application Problems
|
|
|
| M26 |
Order of Operations
|
|
p.68 # 10aceg, 14adf
+ worksheet
|
M25
|
Adding & Subtracting Expressions
|
|
p.58 # 1c, 4c, 5g, 6ac, 10
p.67 # 5c, 6ace, 8ace
|
| M22 |
Multiplying Rational Expressions
|
Video Tutorial - Multiply & Divide Rational Expressions
|
p.50 # 5ad, 6adgh, 7ae, 8ab, 18
|
| M21 |
Equivalent Expressions & Restrictions
|
Video Tutorial - Simplifying Rationals & Equivalent Expressions
|
p.40 # 1 - 3 (odd) (fundamentals - optional)
# 4 - 6 (odd), 8, 13, 15
# 16 |
| |
Unit 3 - Rational Functions & Expressions |
|
|
M20
|
Test - Functions |
|
|
|
M19
M18
|
Review - Functions |
|
Review Sheet |
|
M08
|
Function Inverses
|
VT (Khan A): Function Inverses |
p.215 # 1, 2, 3abci, 5odd, 8odd, 14(i)(iii)(v), 16(i)(iii)(v) |
M07
|
Transformations - Equations from Graphs
|
|
worksheet
|
| M06 |
Transformations - Summary
|
|
p.240 # 3, 7, 16ef, 17
+ worksheet from yesterday
+ (optional) worksheet on web page
|
| M05 |
Horizontal vs Vertical Scaling & Reflection
|
WS - Transforming Graphs (with solutions)
|
worksheet + any previous homework
|
| M04 |
Transformations - Horizontal Reflection & Scaling
|
WS - Horizontal Transformations w/ Answers |
p.229 # 2cde, 8, 11cdf
p.240 # 1ef, 2cd, 4dfgh, 5cef, 9cd
|
|
M01
F28
|
Transformations of Functions
|
MPM2D: Quadratics & Parabolas
- stretch, compress, and reflect
- translate up/down/left/right
|
part 1: p.241 # 8a, 9a, 5ab, 4ab
part 2: p.241 # 8b, 9b, 5d, 4ce
|
F27
|
Graphs of Parent Functions
|
VT: Graphing a Radical Function |
|
F26
|
Domain, Range, & Function Notation
|
|
p.178 # 1-3, 5, (6-10)(ad), 12, 15, 18
|
| |
Unit 2 - Functions, Domain & Range |
VT: Introduction to Functions |
|
|
Mon
F25
|
Test: Review & Quadratics |
|
|
|
F22
F21
|
Review |
quadratics quick reference
|
handout
|
F20
|
Families of Quadratics
classNote
|
|
handout+worksheet
worksheet#2
|
F19
|
Intersections of Parabolas & Lines
classNote
|
|
worksheet |
F14
|
Solving Quadratic Equations
classNote
|
|
p.128 # 2ace, 3ace, 4ace, 12ac
p.130 # 17, 23, 29 |
|
F15
F12
|
Radicals
classNote
|
|
p.106 # (1 - 4)(odd)
p.139 # (1 - 7)(odd), 9, 10a, 14
|
F11
|
Optimal Value using Symmetry
classNote
|
videoLesson
|
p.115 # 2bfhl, 3bcgk, 9, 13, 15, 17
|
| F08 |
Completing the Square with Fractions
classNote
|
|
p.115 # 1cegik, 2odd, 3odd, 7, 14, 16 |
F07
|
Review - Completing the Square
classNote
|
|
p.99 # (7, 8, 9)(odd)
|
F06
|
Review - Factoring
classNote
|
|
p.3 # 4odd, 5odd, 6odd
|
| F05 |
Review - Solve Linear Equations & Expand Quadratics
classNote
|
|
- p.29 # 1acf, 2ace
- p.31 # 8ac, 9ace, 10ae
- p.33 # 11ace, 12ace, 13ace
|
| F04 |
Review - Linear & Quadratic Relations
classNote
|
|
|
| |
Unit 1 - Review & Quadratics |
|
|
| |
|
Previous MCR3U Course Notes:
|
|
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
MCR3U - 2018-2019 S2
|
|
Tip: To turn text into a link, highlight the text, then click on a page or file from the list above.
|
|
|
|
|
Comments (0)
You don't have permission to comment on this page.