MHF4U Semester 1:  2018-2019

# 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 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 Adding and Subtracting Functions (Day 1)   We will learn how to add and subtract functions Page 424  #1-7, 9, 15(omit b)   Handout Wednesday,  January 9, 2019 Adding and Subtracting Functions (Day 2) Page 425   # 10, 11, 14, 16, 18, 20,  21, 24, 25 Thursday,  January 10, 2019 Multiplying and Dividing Functions (Day 1)   We will learn how to multiply and divide functions. Page 435  #4, 5, 15-18   Handout Friday,  January 11, 2019 Multiplying and Dividing Functions (Day 2) Page 436  #6, 7, 10-12, 20b Monday,  January 14,  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 Tuesday,  January 15, 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 Wednesday,  January 16, 2019 Quiz Composition of Functions (Day 2) Page 447 # 5-7, (omit 7c),  13, 15 Thursday,  January 17, 2019 Inequalities   We will learn how to solve inequalities involving a combination of functions Page 458  #3,  8-12 (Use Desmos for these questions), 16   Handout Friday,  January 18, 2019 Applications of Combined Functions Page 469  # 4-6 (Use Desmos for these questions) Monday, January 21, 2019 Exam Review Handout Tuesday, January 22, 2019 Exam Review Wednesday, January 23, 2019 Exam Review Thursday, January 24, 2019 Period 1 MHF Exam 9am – 11am Portable 8 Friday, January 25,  2019 Period 2 MHF Exam 9am – 11 am Portable 8