MCR3U Course Outline

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Department of Mathematics
St. Edmund Campion Secondary School
Unit 1:
Day
1
2
3
4
5
6
7
8
Quadratic Functions and Equations
Topic
Operations with Radicals,
Simplifying Radicals
Tools for Operating with Complex
Numbers
Maximum or Minimum of a
Quadratic Function by Completing
the Square
Solving Quadratic Equations by
Completing the Square
QUIZ
Solving Quadratic Equations by
Factoring
Solving Quadratic Equations by
using the Quadratic Formula
Graphing Activity
10
Quadratic Equations Problem
Solving
Quadratic Equations Problem
Solving
Assignment/ Back-up day
11
Review
12
Test
9
Unit 2:
Day
1
2
(12 days)
Practice
p. 106 # 1-4, 12, 13, 19
p. 139 #1-6(odds), 7egj
p. 116 # 2-3 odds, 4, 6, 9-11, 1516
p. 129 # 3-5(odds), 18, 20
p. 129 #7-10, 19
p. 129 #11(befgh), 12(bdlmn)
21-22, 24
See overhead
See overhead
Transformations of Functions
(13 days)
Topic
Relations and Functions
Practice
p. 178 #1, 2-4, 6-10, 12, 13, 17, 21a
Quiz
Inverse Functions
P. 215 #1, 2, 3-6 odds, 10 odds, 15,
17-19, 25
Graphing Calculator Activity + Worksheet
graphs
3
4
Graphing Calculator Activity + Worksheet
continued
graphs
Investigation – p. 182 / worksheet
graphs
Horizontal & Vertical Translations
p. 189 #1odds, 3, 4ace, 5, 7-8 odds,
11, 15
Horizontal & Vertical Stretches of
Functions
p. 229 #1a-h, 2a-e, 3b, 4i, ii, iii,
5abdefg, 6, 10, 11cdf
Reflections of Functions
p. 203 # 2a-c, 3b-d, 4b-d, 8, 10, 11
Combinations of Transformations
p. 240 # 1ef, 2cdm 3eh, 4h, 6def, 7cd,
8df, 9cf, 17
Combinations of Transformations
continued
p. 240 continued
5
6
7
8
9
10
11
Assignment/ Back-up day
12
Review
13
Test
Unit 3:
Day
1
Algebraic Tools
Topic
Reviewing the Exponent Laws
Pg. 254 #1-2, 3afgh, 4-13
Extra Practice Pg. 246-253
(11 days)
Practice
p. 9 #1-9 odds, 14 odds
2
Rational Exponents
p. 16 #1-6 odds, 10
3
Solving Exponential Equations
p. 23 #1-11 odds, 19 odds
4
Quiz
5
Review of Polynomials
Pg. 29 #1-2(cdef), 4, 6, 7
Pg. 31 #8bdfi, 9bdfhkl, 10def
Pg. 33 #11-13(befghi), 15befjklm,
16ab, 17b, 19, 21b
6
Simplifying Rational Expressions
p. 40 #1-6 odds, 7, 15
7
Multiplying and Dividing Rational
Expressions
p. 50 #4-7 odds, 8-10, 14, 15
8
9
10
Adding & Subtracting Rational
Expressions – Part 1
Adding & Subtracting Rational
Expressions – Part 2
Assignment/ Back-up day
11
Review
12
Unit 4:
Day
1
p. 58 # 1, 2, 6 (odds), 9, 10
p. 67 #3 odds, 5-6 odds, 8-10
odds, 14ae
p. 85 #1-7(odd letters)
p. 88 #25cfi, 27aef
p. 90 #1-3(bc), 5, 6, 8bdf, 910(bcd)
Test
Exponential Functions
Topic
(7 days)
Practice
Experiment- Exponential Functions
Handout- graphing
2
Roles of Parameters
Handout
3
Exponential Growth/Decay
4
E-Stat Assignment
Handout
Pg. 24 #13-18
Handout
5
E-Stat Assignment (con’d)
6
Differentiating Between Linear,
Quadratic and Exponential Functions
7
Test
Unit 5:
Day
1
2
3
4
5
6
Trigonometry
Topic
Review Trigonometry
Handout
(6 days)
Practice
p. 272 # 3-4 odds, 5-11, 13, 16
The Sine and the Cosine of Angles
Greater than 90°
The Sine Law and Cosine Law
p. 290 # 1-2 odds, 3 odds, 6, 8
The Sine Law: The Ambiguous Case
p. 308 #2abce, 3abce, 4
Review
p. 316 #1-5, 8, 9
p. 313 #1bd, 2, 4, 6, 7, 9,
11bcde, 12b, 18, 19
Test
p. 281 # 1, 2, 3, 4, 6
Unit 6:
Day
Trigonometric Functions
Topic
(12 days)
Practice
Trigonometric Ratios of Any Angle
Positive & Negative Angles of Rotation
p. 348 #2, 3, 6, 11 (odds)
p. 353 #1abcd, 2aef
p. 354 #3abcd, 4adf
INVESTIGATION
Modelling Periodic Behaviour
p. 355 #1-5
p. 359 # 1-5 odds
3
Investigating Basic Trigonometric
Functions
See note.
4
QUIZ
Graphing y=sin x and y=cos x
1
2
See note.
Stretches of Periodic Functions
p. 374 #1-3 odds, 6 odds, 7, 8, 9-10
odds, 14
6
Translations and Combinations of
Transformations
p. 387 #1abce, 2abe, 3, 5a, 6ab
7
Combinations of Transformations
continued
p. 387 continued
Trigonometric Identities – Part 1
p. 398 #1, 2abcdfj
QUIZ
Trigonometric Identities – Part 2
p. 398 #2eghiklm, 4, 7
Trigonometric Equations
p. 408 #1-6 odds
11
Review
p.413 #11, 14, 16, 17, 19odd, 22odd,
25ab, 26ab, 32, 33, 37
Chapter Test Pg. 418 #4cd, 5, 7ab,
11ab
12
Test
5
8
9
10
Unit 7:
Day
Sequences and Series
Topic
Sequences
(7 days)
Practice
p. 433 #1-4 odds, 7-8, 10-11
1
2
3
4
5
Arithmetic Sequences
p. 441 #1-8 odds, 10, 16, 20, 23
Geometric Sequences
p. 452 #1-2, 3-7(odds), 11, 14,
15
QUIZ
Arithmetic Series
p. 469 #1-5 (a,c)
Geometric Series
p. 476 #1-3 (a, c), 4, 5
6
REVIEW
7
TEST
Unit 8:
Day
Interest and Annuities
Topic
(6 days)
Practice
1
Simple Interest
Handout #1-3, 7-9, 11
2
Compound Interest
p. 508 #1-5 (odds), 6-8
3
Present Value
p. 523 #2odds, 4odds, 5-8
4
Amount of an Ordinary Annuity
p. 532 #5-8
5
Present Value of an Ordinary
Annuity
p. 540 #1-3, 8
6
Interest/ Annuities Assignment
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