MHF4U Semester 1:  2018-2019

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Unit 1: Polynomial Functions 

Date

Topic/Learning Goals

Daily Work/Assignments

Wednesday, September 5, 2018

 

 

Introduction to Advanced Functions

 

Review Sheets

Thursday, September 6, 2018

Review Day 2

Review Sheet #2

 

Review Sheet #3

 

Friday, September 7, 2018

 

Power Functions

We will learn the properties of power functions

Page 12,  # 3-11, 14, 16-17

Monday September 10, 2018

Characteristics of Polynomial Functions

We will learn about the properties of polynomial functions.

Page 26, # 1, 2, 3i, 5, 6

 

Handout

Tuesday, September 11, 2018

Characteristics of Polynomial Functions  (Day 2)

Page 26, #3ii, iii,  7, 8 a-f, 11-18

 

 

Wednesday, September 12, 2018

Equations and graphs of Polynomial Functions

 

We will learn how to graph a polynomial function and discuss the roots

Page 39,  # 1, 2, 6,  9-11, 13

 

Handout

Thursday, September 13, 2018

Even and Odd Functions

 

We will learn about the properties of even and odd functions.

Page 39,  # 3-5, 7, 8 (omit c), 12, 14.

 

Handout

Friday, September 14, 2018

Transformations of Polynomial Functions

 

We will learn how to transform functions.

Page 49, # 1-7, 10, 12, 15

 

Handout

Monday September 17, 2018

Quiz  #1

 

Tuesday September  18, 2018

Slopes of Secants and the Average Rate of Change

 

We will learn how to find the slope of a secant and interpret the result

Page 62, # 1-4,5ace, 7, 9, 10, 12

 

Handout

Wednesday, September 19, 2018

Slopes of Tangents and the Instantaneous Rate of  Change

We will learn how to find the slope of a tangent and interpret the result.

Page 71, # 1-4, 7-10, 12

 

Handout

Thursday, September 20, 2018

 

 

Dividing Polynomials

We will learn how to divide a polynomial by a binomial and write the proper statement.

Page 91, # 1,2, 3aceg, 4-6.

 

Handouts

Friday, September 21, 2018

 

 

Remainder Theorem

We will learn the remainder theorem and apply it to polynomials.

Page 91, # 7-10, 11ab, 12-16, 18, 20-23

Monday, September 24, 2016

PA Day

 

Tuesday, September 25, 2018

 

 

 

Factor Theorem (Day 1)

We will learn the Factor Theorem and apply it to polynomials.

Page 102, # 1-4, 6, 9, 12-15, 20-22

 

Handout

Wednesday, September 26,  2018

Factor Theorem (Day 2)

 

Page 102, # 5, 7, 10, 11, 17-19

Thursday, September 27, 2018

 

Solving Polynomial Equations

We will learn to solve polynomial equations.

Page 110,  #3, 4, 7eo, 8eo, 12-15, 17, 18, 20, 24

 

Handout

Friday, September 28, 2018

 

Quiz #2

 

Families of Polynomial Functions

Page 119  #1-3, 6, 7, 9, 11, 13,15, 19, 22

 

Handout

Monday, October 1, 2018

Solving Polynomial Inequalities

We will learn how to solve polynomial inequalities graphically and algebraically.

Page 138, #2, 4, 6bc, 9

Handout

Tuesday, October 2, 2018

Review – Day 1

Page 74-77 ( omit 8d, 18)

Page 78-79

Wednesday, October 3,  2018

Review- Day 2

Page 140-141 (omit 10b, 15, 16, 18c)

Page 142-143 ( omit 14, 15)

Thursday, October 4, 2018

Start Unit 3

Solving Rational Equations

We will learn how to solve rational equations.

Page 183, # 1, 2, 6, 9, 15

 

Handout

Friday, October 5, 2018

Unit 1 Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 2: Rational Functions

Date

Topic/Learning Goals

Daily Work/Assignments

Monday, October 8, 2018

Thanksgiving Day

 

Tuesday October 9, 2018

 

Reciprocal of Linear Functions

 

We will learn how to graph the reciprocal of a linear function

Page 153 # 2-5, 7-10, 13, 15

 

Handout

Wednesday, October 10, 2018

Reciprocals of Quadratic Functions (Day 1)

We will learn how the reciprocal of a quadratic function behaves

Page 164 # 2, 4, 5ace (omit table), 7, 8adgh

 

Handout

Thursday, October 11, 2018

Reciprocals of Quadratic Functions (Day 2)

Page 166 # 3, 9-14, 16, 17

Friday,  October  12, 2018

Rational Functions of the form

 

     

 

We will learn the properties of a linear function over a linear function, including asymptotes

Page 174 # 1-12, 14

 

Handout

Monday, October 15, 2018

More Rational Functions

 

Page 176 # 16

Page 190 # 4

Tuesday, October 16, 2018

Oblique (Slant) Asymptotes

 

We will learn how to find the equation of oblique asymptotes and how they relate to the function.

Page 176 # 17-19

Page 190 #8-10

 

Handout

Wednesday,  October 17, 2018

Review of Graphing

Handout

Thursday, October 18, 2018

Quiz

Solving Rational Inequalities

 

We will learn how to solve a rational inequality

 

Page 185 # 4, 5, 13,  16

 

Handout

 

Friday, October 19, 2018

Applications of Rational Functions

 

Page 189 # 1,2, 14, 15

 

Handout

 

Monday, October 22, 2018

P.A.  Day

 

Tuesday, October 23, 2018

Review (Day 1)

Page 192 # 1-16

 

Handout

Wednesday, October 24, 2018

Review (Day 2)

Page 192 # 1-16

Thursday, October 25, 2018

Start Unit 3

 

Friday, October 26, 2018

Unit 2 Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 3: Trigonometric Functions (Part 1)

Date

Topic/Learning Goals

Daily Work/Assignments

Monday October 29, 2018

 

Radian Measure

 

We will define what a radian is and how to convert from degrees to radians.

Page 208 # 1-9, 11, 14- 16, 20

 

Handout

 

 

Tuesday,  October 30, 2018

 

Applications of Radian Measure

 

We will learn angular velocity and apply it.

Page 209 # 10, 17, 18, 21

 

 

Wednesday,  October 31, 2018

Trigonometric Ratios and special angles

 

Page 216 #  1-10, 13, 25

 

Handout

 

Thursday, November 1, 2018

Related Angle Identities

 

We will evaluate trigonometric ratios in all four quadrants using our knowledge of the cast rule

Handout

 

 

Friday, November 2, 2018

Co-Function Identities (Day  1)

 

We will learn co-function identities using examples in all four quadrants.

Page 225 #1, 2, 5, 6, 9, 10, 13, 14

 

Handout

 

Handout 2

 

Monday,  November 5, 2018

Co-Function Identities (Day 2)

 

Page 226  #22, 24, 25, 27, 29

Tuesday,  November  6,  2018

Compound Angle Identities

 

We will develop the sum and difference identities for the sine, cosine and tangent ratios.

Page 232 # 1-8, 10, 12-15, 20, 21

 

Handout

 

 

Wednesday, November  7, 2018

No Calculator Quiz

 

Double Angle Identities

 

We will learn how derive the double angle identity and apply it.

 

 

Page 234, # 19, 25

Thursday,  November 8, 2018

Trigonometric Identities (Day 1)

 

We will learn different strategies to prove trigonometric identities. 

Page 240 # 7-13, 15, 16, 21

 

Handout

 

Handout 2

 

Friday,  November  9, 2018

Trigonometric Identities (Day 2)

Handout

Monday,  November  12, 2018

Trigonometric Identities (Day 3)

Handout

Tuesday,  November 13, 2018

In class assignment

Review (Day 1)

Page 244-247 ( omit 21, 22)

Wednesday,  Nov 14, 2018

No Classes Today

 

Thursday,  November 15, 2018

Review (Day 2)

Page 244-247

Friday,  November 16, 2018

Unit 3 Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 4: Trigonometric Functions (Part 2)

Date

Topic/Learning Goals

Daily Work/Assignments

Monday November 19, 2018

 

Review of Trigonometric Graphs

 

We will learn how to graph  primary trigonometric functions in radians.

Page 258 # 1, 3, 5, 7,  9- 11

 

Handout

Tuesday,  November 20, 2018

 

Transformations of Trigonometric Functions

 

We will learn how to transform trigonometric functions

Page 275 #2-4, 8ab, 9ab,  10, 11

 

Handout

Wednesday,  November 21, 2018

Graphs of Reciprocal Trigonometric Functions

 

We will learn how to graph reciprocal trigonometric functions.

Page 267 #  4-7, 10, 13, 15-18

 

Handout

Thursday,   November  22, 2018

Applications of Trigonometric Functions (Day 1)

 

We will learn how to apply trigonometric functions

Page 258   # 12-15, 17-20

Page 277   # 12-14, 15a, 19-21

 

Handout

Friday,  November  23, 2018

P.A. Day

 

Monday,  November  26, 2018

Applications of Trigonometric Functions (Day 2)

Page 268 #11

 

Handout

Tuesday,  November  27,  2018

Trigonometric Equations (Day 1)

 

We will learn how to solve trigonometric equations

Page 287 # 1, 3, 4, 7, 9 -19, 22

 

Handout

Wednesday,   November 28, 2018

Quiz

Trigonometric Equations (Day 2)

 

Page 289, # 23, 24, 26, 28

Thursday,  November 29, 2018

Rate of Change of Trigonometric Functions

Page 296 # 1-3, 6, 7, 10, 11

 

Handout

 

Friday,   November 30, 2018

Review (Day 1)

Page 300 # 1-12

Page 302  #1- 14

Monday,   December 3, 2018

Review (Day 2)

 

Page 300 # 1-12

Page 302  #1- 14

Tuesday,   December 4, 2018

Start New Unit

 

Wednesday,   December 5, 2018

Unit 4 Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 5: Exponential and Logarithmic Functions

Date

Topic/Learning Goals

Daily Work/Assignments

Tuesday,   December 4, 2018

Equations and Graphs of Exponential Functions

 

We will learn how to graph exponential functions

Page 318   # 1,2, 7

 

Handout

Thursday,   December 6, 2018

Solving Exponential Equations

 

We will learn how to solve exponential equations

 

Page 368  #1-6

Page 375  # 1, 6, 10, 11cde

 

Handout

Friday,   December 7, 2018

Introduction to Logarithms

 

We will define what a logarithm is and how it is related to exponents

 

Page 318 #5, 8, 19, 20

 

Page 328 #1-4,6a, 8, 10, 11, 13, 14

 

Handout

Monday,   December 10,  2018

Transformations of Logarithms

 

We will learn how to transform logarithmic functions

Page 338 # 1, 3-8, 13bc, 17, 20

 

Handout

 

Tuesday,    December 11, 2018

Power Law and Change of Base Formula

 

We will learn important logarithmic formulas

Page 347, # 1-6, 9, 10, 15, 20

Page 375  # 2, 3, 8, 13, 15, 16, 20

 

Handout

 

Wednesday,  December 12, 2018

Product and Quotient Laws

 

We will learn the product and quotient laws for logarithms.

Page 384 # 3-7, 9, 10

 

Handout

 

 

Thursday,   December 13, 2018

Solving Exponential Equations using Logarithms

 

We will learn how to solve exponential equations where the bases are different.

Page 368 #7, 11, 12

Page 375 #4, 7, 11abf, 14, 20, 21

 

Handout

 

 

Friday,   December 14, 2018

Quiz (No Calculator)

 

Solving Logarithmic Equations

 

We will learn how to solve logarithmic equations using the laws of logarithms.

 

 

Page 391  # 1-3, 5, 6, 9, 11a, 13

Handout

 

Monday,   December 17, 2018

Applications of Logarithms

 

We will learn how to apply logarithms.

Page 353 # 1, 2, 6-12, 22

Page 368  #7, 10- 12, 15

 

Handout

 

Tuesday, December 18, 2018

Review (Day 1)

 

Page 356 # 1-4, 6, 8, 9, 11-18

Page 408  #1- 5, 6a, 7-14, 16-17

 

Handout

Wednesday, December 19, 2018

Review (Day 2)

 

Page 356 # 1-4, 6, 8, 9, 11-18

Page 408  #1- 5, 6a, 7-14, 16-17

Thursday, December 20, 2018

Review (Day 3)

Page 356 # 1-4, 6, 8, 9, 11-18

Page 408  #1- 5, 6a, 7-14, 16-17

Friday, December 21, 2018

Unit 5 Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 6: Combinations of Functions

Date

Topic/Learning Goals

Daily Work/Assignments

Monday, January 7, 2019

Review of Functions

Page 414  # 1-5, 7-9, 11, 13, 14

Tuesday, January 8, 2019

Review of Functions

Page 414  # 1-5, 7-9, 11, 13, 14

Wednesday, January 9, 2019

Adding and Subtracting Functions (Day 1)

 

We will learn how to add and subtract functions

Page 424  #1-7, 9, 15(omit b)

 

Handout

Thursday,  January 10, 2019

Adding and Subtracting Functions (Day 2)

Page 425   # 10, 11, 14, 16, 18, 20,  21, 24, 25

Friday,  January 11, 2019

Multiplying and Dividing Functions (Day 1)

 

We will learn how to multiply and divide functions.

Page 435  #4, 5, 15-18

 

Handout

Monday,  January 14, 2019

Multiplying and Dividing Functions (Day 2)

Page 436  #6, 7, 10-12, 20b

 

Tuesday,  January 15,  2019

Even and Odd Functions

We will learn the properties of even and odd functions when we combine them.

Page 435 # 1, 2, 8, 9, 19

 

Wednesday,  January 16, 2019

Composition of Functions (Day 1)

 

We will learn how to compose a function onto another function

Page 447, # 1, 2, 4, 8, 9, 11, 17, 19,  21

 

Handout

Thursday,  January 17, 2019

Composition of Functions (Day 2)

 

Page 447 # 5-7, (omit 7c),  13, 15

 

Friday,  January 18, 2019

Inequalities

 

We will learn how to solve inequalities involving a combination of functions

 

Page 458  #3, 4, 8, 9, 10-12, 16

 

Handout

Monday,  January 21, 2019

Applications of Combined Functions

Page 469  # 1-3, 4-7, 14

 

Tuesday, January 22, 2019

Exam Review

Handout

Wednesday, January 23, 2019

Exam Review

 

Thursday, January 24,2019

Exams start today

 

Thursday, January 24, 2019 – Wednesday January  30, 2019

Exams