MHF4U – McDougall PART I: Polynomial & Rational Functions Unit 1

Les

Topic

MHF4U – McDougall PART I: Polynomial & Rational Functions Unit 1: Functions & Characteristics of Functions Homework/ Evaluation

1

1.1 – Functions

Introduction to Course, Worksheet p. 12 #5, 6, 12, 15

2

1.2 – Exploring Absolute Value

p. 16 #3-7

3

1.3 – Properties of Graphs & Functions

p. 24 #6-7ac, 8-10, 12 to be handed in

4

1.4 – Sketching Graphs of Functions

p. 36 #5, 7, 9-13

5

1.5 – Inverse Relations 1.6 – Piecewise Functions

p. 45 #3, 4, 7, 10ad, 11-14, 16, 17 p. 51 #3, 5, 6, 8, 9, 14

Les

Topic

Unit 2: Polynomial Functions, Equations and Inequalities Homework/ Evaluation

1

3.1 – Exploring Polynomial Functions

P127#1, 2, 4, 5, 6, 7

2

3.2 – Characteristics of Polynomial Functions 3.3 – Characteristics of Polynomial Functions in Factored Form

P136#4-7ace, 10-14; P146#3, 4, 5, 8, 10, 12-14

3

3.2 – Even and Odd Polynomials

Worksheets, p138#16

4

3.4 – Transformations of Cubic & Quartic Polynomials

Worksheets, p156#4ace, 5, 6, 9, 10b, 11

5

Families of Polynomials (Computers)

Worksheets

6

3.5 – Dividing Polynomials

P169#1-10ace, 11, 12, 13, 15, 17, 18

7

3.6 – Factoring Polynomials

P177#4-7ace, 9, 10, 11, 12

8

4.1 – Solving Polynomial Equations

P205#6-9ac, 10, 12

9

4.2 – Solving Linear Inequalities 4.3 – Solving Polynomial Inequalities

P213#5-7ac, 12, 17 p227#6, 7, 12, 13

Les

Topic

Unit 3: Rational Functions, Equations and Inequalities Homework/ Evaluation

1

5.1 – Graphs of Reciprocal Functions

P255#1, 2, 5, 6, 7, 8, 11-13

2

5.2 – Properties of Rational Graphs

Worksheet, P262#1-3

3

5.3 – Linear over Linear (Computers)

P273#4, 5, 7, 9, 10

4

Families of Rational Functions (Computers)

Worksheets

5

Poster Assignment

Worksheet

6

5.4 – Solving Rational Equations

P286#5-7, 8, 9

7

5.5 – Solving Rational Inequalities

P296#4, 5, 6ac, 9, 11

MHF4U – McDougall

Expec

Les

B1.1 B1.2 B1.3

1a

6.1 – Rotation Angles & Radian Measure

P320#1-4aceg, 7-9, 12, 13, 15

B1.3 B1.4

1b

6.2 – Special Triangles and Reciprocal Ratios

P330#3-8ace, 9-11, 13

B2.1 B2.2 B2.2

2

6.3 – Graphs of the Trigonometric Functions

Worksheets; P336#2-5

B2.4 B2.5 B2.6 B2.3 B2.7

Topic

PART II: Trigonometric Functions Unit 4: Trigonometric Functions Homework/ Evaluation

3 6.4 – Transformations of Trigonometric Graphs (2 day) 4

6.5 – Reciprocal Trigonometric Ratios and Their Graphs

5 6.6 – Performance Task & Review (2 day)

P353#2, 3, 5-7 P361#5, 6, 8, 9, 11

Unit 5: Trigonometric Equations Homework/ Evaluation

Expec

Les

B3.1

1

7.1 – Equivalent Trigonometric Ratios

P392#1-5

B3.2

2

7.2 – Addition and Subtraction Formula for Trig Ratios

P400#5-6ace, 8-9ace, 12, 13

B3.2

3

7.3 – Double Angle Formulas

P407#1-3, 4, 6, 9, 12, 15

B3.3

4

7.4 – Trigonometric Identities

Worksheets, P417#8-11

B3.4

B3.3 B3.4

Topic

P344#4-5ac, 6-8ace, 9, 11, 14

5 7.5 – Trigonometric Equations (2 day) 6

7.6 – Tough Problem Assignment & Review

P427#8-10ace, 11, 12 P436#4-9ace

MHF4U – McDougall PART III: Exponential & Logarithmic Functions Unit 6: Exponential & Logarithmic Function Models Homework/ Evaluation

Expec

Topic

Review

8.0 – Exponential Models

p446 and p447

8.1 – The Logarithmic Function

P451#1-9

8.2 – Graphs of Logarithmic Functions

P457#3ac, 4i,iii,v, 5ace, 8, 9

A1.3 A1.4 A3.3

8.3, 8.4 – Evaluating Logarithms & Laws of Logarithms

P466#3-9ace, 13, 14, 17, 18, 20 P475#4, 6-8, 11ace

A3.1 A3.2 A3.3

8.5, 8.6 – Solving Exponential & Logarithmic Equations

P485#1-3ace, 5, 6ac, 8, 10, 11, 12, 14 P491#2ace, 4, 5ace, 7, 10, 12, 15

8.7 – Solving Problems with Exponentials & Logs

P499#4, 5-6ac, 7, 8, 10, 12

A1.1 A1.2 A1.3 A2.1 A2.2 A2.3

A2.4 A3.4

MHF4U – McDougall

Topic

PART IV: Exponential & Logarithmic Functions Unit 7: Rates of Change Homework/ Evaluation

Expec

Les

D1.1 D1.2 D1.4 D1.5 D1.6 D1.7

1

2.1, 2.2 – Introduction to Rates of Change Average vs. Instantaneous (Tables, Formula)

P76#4, 7, 8, 10; P86#2, 3, 6, 7, 8, 10, 14

D1.2 D1.3 D1.4

2

2.3 – Rates of Change From Formula, Context and Graphs

P91#3, 4

D1.8 D1.9

3,4

2.4, 2.5, 4.4, 5.6, 6.7, 8.8 – Problem Solving with Rates of Change Worksheets—Peter Taylor

P104#4, 5, 7, 8; P236#9, 10, 11, 13; P370#7, 8, 9, 10;

Unit 8: Combinations of Functions Homework/ Evaluation

Expec

Les

D2.1 D2.3 D3.1

1

9.1, 9.2 – Introduction to Combinations of Functions

P520#2,

D2.1 D2.3 D3.1

2

9.3, 9.4 – Combining Functions: Products & Quotients

P537#4aceg, 8ac, 10-12; P542#1, 3

D2.4 D2.5 D2.7 D2.8

3

9.5 – Composition of Functions Transformations and Compositions

P552#6-7ace, 8, 10, 13, 14

D3.2

4

9.6 – Using Non-Algebraic Methods to Solve Equations and Inequalities

P561#5, 6, 9ace

D2.2 D2.4 D2.6

5

9.7 – Solving Problems with Function Composition

P570#3, 4, 5, 7

D2.2 D2.4 D2.6

Topic

P112#5a, 6ace, 10 P304#6, 7, 9, 10 P508#8-11

6 Combinations of Functions: Data Activity (2 day)

P529#6-10

Worksheets-- Mauna Loa, Baby Boom, Double Ferris Wheel