-
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 2020-2021 Quad1 Sept-Nov
Page history
last edited
by Steve Sweeney 3 years, 5 months ago
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.
Textbook: Nelson Functions 11 (corrections to text)
Week 5, November 2 to November 6
| Day |
Lesson
|
Live Cohort
|
Topic / Lesson
|
Extra Resources |
Assigned Work:
Nelson Functions 11 (2007)
|
| M |
45 |
A |
Introduction to Periodic Functions
|
|
p.352 # 1-9, 11 |
| M |
46 |
A |
The Unit Circle
|
Interactive Applet - Explore the Unit Circle
|
p.363 # 2, 3, 4, 7, 9, 11, 12, 13 |
| Tu |
47 |
B
|
Graphing by Transformations
|
|
complete worksheet
p.383 # 1, 3, 4, 7, 11, 12
|
| Tu |
48 |
B |
Graphing Sinusoidal by Key Properties
|
|
- p.383 # 2, 5, 6, 9, 10, 13
- p.372 # (10, 11, 12)(bcd)
|
| W |
49 |
A |
Equations from Graphs
|
|
|
|
W
|
|
|
3D Word Problems in Trigonometry
|
|
- p.332 # 3acd, 4, 6, 7, 9, 10, 15
|
| Th |
50 |
B |
Applications of Periodic Functions
|
|
|
| Th |
optional |
|
Arithmetic & Geometric Sequences
(see end of schedule, below) |
|
|
| F |
51 |
A |
Fundamental Trigonometric Identities
|
|
p.310 # 1-3, 4, 5, 6, 7, 8, 11 ,12, 14 |
| F |
52 |
A |
Reciprocal Trigonometric Identities
|
|
|
|
optional |
|
Arithmetic & Geometric Sequences
|
|
p.424 # 5, 6, 8odd, 10, 12, 13odd, 15
p.430 # 6odd, 7, 8, 11, 14 |
|
|
review, by request |
|
Review: Periodic Functions |
(Extra) Review Handout (review answers)
Q # 8
|
p.404 # 3, 4, 6, 7, 8, 9, 10, 12, 13
p.406 # 1, 2, 3, 5
p.339 # 6, 7
p.340 # 4
|
|
review, by request |
|
Review: Trigonometry |
|
p.338 # 1-5, 10-13
p.340 # 1-3, 6, 8
|
Week 4, October 19 to October 23
| Day |
Lesson |
Live
Cohort
|
Topic / Lesson
|
Extra Resources |
Assigned Work:
Nelson Functions 11 (2007)
|
| M |
33 |
B |
Solving Exponential Equations
|
|
Handout # (1 - 11, 19, 20) (odd letters) |
| M |
35
|
B |
Applications of Exponential Functions
|
|
p.261 # 3, 4, 5, 7, 8, 9, 12, 13, 14, 15
(optional) Handout # 1-9
|
| M |
optional (4U material) |
B |
Evaluating Logarithms
Laws of Logarithms
Solving Exp & Log Equations
|
|
|
Tu
|
2D
|
A |
Trigonometric Ratios in Right Triangles
|
|
p.280 # 1, 3, 4a, 5(use sin,cos,tan), 7, 8, 11a, 12
|
Tu
|
2D
|
A |
Solving Right Triangles
|
|
p.280 # 1, 3, 4a, 5(use sin,cos,tan), 7, 8, 11a, 12 |
| Tu |
summary |
A |
Review Right-Angle Trigonometry
|
|
p.280 # 1, 3 - 9, 12, 13, 15, 18 |
| W |
37 |
B |
Special Triangles & Exact Values
|
|
p.286 # 3, 4, 5, 7, 8, 9, 11, 12, 13 |
| W |
40 |
B |
Angles in the Cartesian Plane
|
extra handout 2 and 3 (with answers)
|
handout (with answers) |
|
optional |
A |
Radian Measure
|
|
|
|
optional
|
A |
Radian Angles in the Cartesian Plane
|
|
|
| Th |
optional
might help with required lessons
|
|
Trigonometry of Obtuse Angles
|
|
|
| Th |
42 |
B |
Trigonometry of Any Angle (CAST Rule)
|
VT (SS) - Exercises w/ CAST & Trig Ratios (TOO LOUD!)
|
p.299 # 1, 2, 4, 6, 8, 9, 10, 12
|
| Th |
43 |
B |
Solving Trig Equations using CAST
|
|
worksheet (with answers)
# 2, 5ab (linear equations)
# 14cdefgi (linear, challenging)
# 3acef, 5cde, 11 (nonlinear, challenging)
|
| |
|
B |
Evaluation: F M Tu W |
|
|
F
|
2D
|
A |
The Sine Law
|
|
p.318 # 4, 5, 6, 7, 8, 10, 13, 15
|
F
|
2D
|
A |
The Cosine Law
|
|
p.326 # 3, 4, 7, 8, 12, 14
|
| F |
summary
(sufficient if you did 2D in Sem1)
|
A |
3U Review Sine & Cosine Law
|
|
(required)
p.318 # 4, 5, 6, 7, 8, 10, 13, 15
p.326 # 3, 4, 7, 8, 12, 14
(extra) Handout:
# 1-3 (only do these if having difficulty)
# 4de, 5a, 6, 8, 9, 10, 14
|
| |
|
A |
Evaluation: Th F M Tu W Th
|
|
|
| |
review
optional, by request
|
|
Review: Exponential Functions |
|
|
| |
review
optional, by request
|
|
Review: Trigonometry |
|
p.338 # 1-5, 8-13
p.340 # 1-3, 6-8
|
Week 3, October 5 to October 9
| Day |
Lesson |
Live
Cohort
|
Topic / Lesson
|
Extra Resources |
Assigned Work:
Nelson Functions 11 (2007)
|
M
|
17 |
B
|
Transformations of Functions
|
MPM2D: Quadratics & Parabolas
|
complete handout
p.51 # 1-3
|
M
|
18 |
B
|
Transformations - Horizontal Reflection & Scaling
|
|
p.59 # 3, 4, 7, 8, 11
+ Worksheet (odd numbers/letters)
|
Tu
|
19 |
A
|
Transformations: Summary & Image Points
|
|
- p.70 # 4, 6, 10
- (describe transformations)
- p.70 # (7-9)b
- (sketch/graph using transformations)
- p.70 # 16-18, 22*
- (extra) worksheet (solutions)
|
Tu
|
optional |
A
|
Transformations: Equations from Graphs
|
|
WS - Equations from Graphs (with solutions) |
Tu
|
21 |
A
|
Equivalent Expressions & Restrictions
|
|
p.112 # (4-6)(ace), 9, 10, 14a, 17*
|
W
|
22 |
B
|
Multiplying & Dividing Rational Expressions
|
|
|
W
|
23 |
B
|
Adding & Subtracting Rational Expressions
|
|
p.128 # 5bd, 6bdf, 7bdf, 8ac, 9ac, 11, 16*
|
W
|
optional |
B
|
Graphing Rational Functions
|
|
complete handout (solutions)
|
Th
|
27 |
A
|
Review Exponent Laws
|
|
p.221 # (1, 2, 4-9, 11, 13, 16, 18)(odd letters) |
Th
|
28 |
A
|
Rational Exponents
|
|
p.229 # (1-6)(odd), 8, 10, 12, 14 |
F
|
29 |
B
|
Exploring Graphs of Exponential Functions
|
|
finish handout |
F
|
30 |
B
|
Transformations of Exponential Functions
|
|
|
| F |
optional |
B |
Exponential Equations from Graphs & Points
|
|
|
| review |
by request |
|
Review: Functions
|
|
p.76 # 1-9, 11-15, 16a, 17-19
p.202 # 7, 8 |
| review |
by request
|
|
Review: Rational Functions
|
|
handout with answers |
Week 2, Sept.21 to Sept.25
| Day |
Lesson
#
|
Live
Cohort
|
Topic / Lesson |
Extra Resources
|
Assigned Work
|
| M |
5 |
B |
Intro to Function Notation
|
|
|
| M |
6 |
B |
Optimal Values
|
|
p.153 # 4abcd, 6, 8, 9, 10, 11abc, 14*
*** use partial factoring for 6 and 11ab
|
| Tu |
|
A |
Working with Radicals
|
|
p.167 # 1-7(odd letters), 9, 10, 12, 15*, 16*
Old Worksheet # 6, 8, 16-19
New Worksheet # 6, 8, 16-19
|
| Tu |
|
A |
Solving Quadratic Equations
|
|
p.177 # 1, 2, 7-10, 13, 16* |
| W |
|
B |
Number of Zeros in Quadratic Functions
|
worksheet (no answers)
|
p.185 # 1ace, 2abc, 3abc, 4, 6, 9, 13, 15, 18* |
| W |
|
B |
Intersections of Parabolas & Lines
|
|
p.198 # 2ac, 3, 4ac, 5, 8, 9, 10, 11 |
| |
|
|
|
|
|
| Th |
|
A |
Relations & Functions
|
|
p.11 # 1 - 3, 6 - 9, 10 (use algebra), 12c, 15a
|
| Th |
|
A |
Exploring Properties of Parent Functions
|
Handout (blank): Parent Functions
|
|
| Th |
|
A |
Domain and Range
|
|
p.35 # 2-5, 8, 9, 10ab, 12cd (tech), 13, 17* |
| F
|
|
B |
Function Inverses
|
|
p.46 # 1, 2abc, 3, 4bc, 6bdf, 10, 12, 16, 17
|
| F |
|
B
|
Inverses of Quadratics & Radicals
|
|
p.160 # 1b, 2b, 3, 4, 5, 7, 10, 13abc |
| review |
by request |
|
Review: Quadratic Functions
|
|
p.202 # 1ab, 2abc, 4 ,5, 9, 11, 12 (exact), 13, 14-18, 20-24 |
Week 1, Sept.9 to Sept.10
| Day |
Lesson |
Live
Cohort
|
Topic / Lesson
|
Extra Resources |
Assigned Work:
Nelson Functions 11 (2007)
|
Th/Fr
|
|
|
Unit 1 - Review & Quadratics |
|
|
| Th/Fr |
1 |
A/B |
Review: Linear Relations
|
|
|
| Th/Fr |
2 |
A/B |
Review: Factoring
|
|
|
| Th/Fr |
3 |
A/B |
Review: Graphs & Properties of Quadratics
|
|
- p.555 # (1 4)(bd) p.563 # 2
- worksheet # 1-4, 7-10
|
| Th/Fr |
4 |
A/B |
Review:
|
|
|
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, 3a
MCR3U 2020-2021 Quad1 Sept-Nov
|
|
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.