MCV4U Semester 2:  2017-2018

Unit 1: Limits and Derivatives

Date

Topic/Learning Goals

Daily Work/Assignments

Monday, February  5, 2018

 

 

Introduction and Review

 

We will review prerequisite skills for this course.

 

Review Sheet:  Are you ready for Calculus and Vectors?

Tuesday, February  6, 2018

 

 

Rationalizing Denominators

 

We will simplify expressions that contain radicals.

 Page 9 

 # 1, 2ac, 3abdf, 4bc, 6abdef, 7

Wednesday,  February 7, 2018

 

Slope of a Tangent

 

We will learn various methods of calculating the slope of a tangent line

Page 18  

# 3,6,8b,9c,10b,11, 17, 19-23

Thursday,  February  8, 2018

Rates of Change

 

We will learn average and instantaneous rate of change.

 

Page 29

# 4, 7, 8, 10-13, 15bc,20, 22

Friday,  February 9, 2018

Limit of a Function

 

We will define a limit of a function.

Page 38

# 4, 6-11,14, 15

Monday,  February  12, 2018

Properties of Limits

 

We will evaluate limits by using properties of limits including indeterminate forms.

Page 45

# 4-10,12, 15, 16,

Tuesday,  February 13, 2018

Continuity

 

We will examine continuous functions at particular points and define continuity.

Page 51

 # 4,5, 7, 8, 10,11, 13, 14,16

Wednesday,  February 14, 2018

Quiz #1

Infinite Limits

We will learn how to evaluate limits at infinity.

 

Handout

Thursday  February  15, 2018

Infinite Limits

Handout

Friday  February 16, 2018

Definition of the Derivative

 

We will formally define a derivative using a limit.

Page 74

#5-8, 10, 11, 15, 19

Monday, February 19, 2018

Family Day

 

Tuesday,  February 20, 2018

Derivatives of Polynomial Functions. 

 

We will learn how to find the derivative of various functions using specific properties.

Page 73  

 # 1

 

Page 82

#2-4, 6, 7cd,8a,9bef, 10, 13, 14, 17a, 21, 25a(iii)

Wednesday,  February 21, 2018

 

 

Product Rule

 

We will differentiate a product of two or more functions using the product rule.

Page 90  

# 1d-f, 2cd, 5cdf, 6, 7a, 8a, 9, 10, 12

Thursday,  February  22, 2018

 

 

Quotient Rule

 

We will differentiate a quotient of functions using the quotient rule.

Page 97

#4bcef, 5-7, 9, 10,12,14,15

Friday, February 23, 2018

Quiz#2

Derivative of Composite Functions (The Chain Rule)

 

Page 105

 #1bdef, 4-5. 7-17

Monday,  February  26, 2018

 

Implicit Differentiation

Page 564

#2, 3cd, 4-10, 12, 13

Tuesday,  February  27, 2018

 

Review Day 1

Page 92

#2, 6-9, 11,12,14,15, 17

Page 110
# 2-5

Wednesday,  February 28, 2018

 

Review Day 2

Page 110
# 7ab, 8, 10a,  11-13, 15

Page 112
# 17-19, 24, 26, 28-30

Thursday, March 1, 2018

Unit 1 Test

 

 




 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



Unit 2: Related Rates and Derivatives of Functions 

Date

Topic/Learning Goals

Daily Work/Assignments

Friday, March 2, 2018

Introduction to Related Rates

 

We will learn how to work with related rates in word problems.

Page 569

# 1ab, 3-7, 12, 13, 15-17, 20

Monday, March 5, 2018

Related Rates –Day 2

Page 569

# 1cde, 2,8-11, 18, 21

Tuesday, March 6,  2018

Higher Order Derivatives

Velocity and Acceleration

We will learn how to apply higher derivatives.

 Page 127

# 2- 4, 6bc, 8, 10-12, 14, 15, 17

Wednesday, March 7, 2018

The Natural Exponential Number “e” and Derivatives of Exponential Functions

Page 232   # 2-13, 15

Thursday, March 8, 2018

The derivative of the Natural Logarithmic Function “ln x”

Page 575 #3,4,5ab,6, 7a,8,9a 10-13

Friday, March 9, 2018

Quiz #3

Monday March 12, 2018  to Friday March 16, 2018

March Break

 

Monday, March 19, 2018

 

Derivative of General Exponential Functions

 

Derivatives of General Logarithmic Functions

Page 240
#1-6, 7ab, 8

Page 578
#1, 2, 3a, 4acef, 5, 7, 9a

Tuesday,  March 20, 2018

 

Logarithmic Differentiation

 

We will learn how to find derivatives using logarithms.

Page 582

# 1-9, 12, 13

Wednesday, March 21, 2018

Exponential and Logarithmic Differentiation

 

Handouts

Thursday,  March  22, 2018

Derivative of Sine and Cosine Functions

 

Page 256
# 1-5, 14

Friday, March 23, 2018

Derivative of the Tangent Function

 

Page 260
# 1-5, 8, 10, 11

Monday, March 26, 2018

Applications of Trigonometric Functions (Day 1)

 

Handout:  Applications of Trigonometric Functions (Part 2,  Questions 1-3) 

Page 257   #7, 10

Page 260   # 7

Tuesday, March 27, 2018

Quiz #4

 

Applications of Trigonometric Functions (Day 2)

 

 

 

Handout:  Applications of Trigonometric Functions (Part 2,  Questions 4-10) 

Wednesday,  March  28, 2018

Review –Day  1

 

Page 156
# 3, 4, 7, 12, 27-30

Thursday, March 29, 2018

Review –Day  2

Page 263
# 1, 2, 4-8, 11,13, 14
Page 248
# 1-5, 6abc

Friday, March 30, 2018

Good Friday

Monday, April 2, 2018

Easter Monday

Tuesday, April 3, 2018

Review –Day  3

 

Page 263
# 3, 9,  10, 15-17, 23











































Unit 3: Curve Sketching and Optimization

Date

Topic/Learning Goals

Daily Work/Assignments

Wednesday, April 4, 2018

Increasing and Decreasing Functions

Local Extremum

We will determine intervals of increase and decrease and discuss local extremum

Page 169 #1,3,5, 7, 8          

Page  178 # 5, 7-9, 11, 15

Thursday, April 5, 2018

 

Unit Test 2

Friday, April 6, 2018

Increasing and Decreasing Functions,  Local Extremum (Day2)

Page 246  #10, 12

Page 260 #6

Monday, April 9, 2018

 

Vertical, Horizontal and Oblique Asymptotes

We will learn how to determine equations of various asymptotes

Page 193 # 1, 5, 7, 9, 10, 12,14, 17

Tuesday,  April  10, 2018

OSSLT

 

Wednesday,  April 11, 2018

Concavity and Points of Inflection

We will define points of inflection and examine concavity in graphs.

 

Page 205  # 2, 4, 8-11

 

 

 

Thursday,   April  12, 2018

Curve Sketching (Day 1)

 

We will develop an algorithm for sketching functions

Page 212  # 3, 4abefgh, 6

Friday,  April 13, 2018

Curve Sketching (Day 2)

 

Page 213  # 4cdij, 7       

Page 257  #8

 

 

Monday,  April  16,  2018

Inclement Weather Day

Page 217  #1,3,5,7,12,14,17      

Tuesday,   April  17, 2018

Optimization Word Problems

 

(Measurement)

 

Page 145  # 1, 3-5, 7-9, 11,    13-14, 20, 21                 

Wednesday, April 18, 2018

Quiz #5

 

Optimization Word Problems

Page 145  # 1, 3-5, 7-9, 11,    13-14, 20, 21                 

Page 145  # 15, 16 

Page 151, # 1, 4,  6-9, 11ab, 12, 14                              

Thursday,  April 19, 2018

Optimization Word Problems

Page 151, # 1, 4,  6-9, 11ab, 12, 14                              

Friday,  April 20, 2018

Optimization Word Problems

(Trigonometric and Exponential Functions)

Page 257  # 6, 12,  13    

Page 260   # 6

Page 245   # 4-6 

Monday,  April  23, 2018

Optimization Problems

Page 257  # 7, 11-13

Page 245 # 8, 9, 11, 14 

Tuesday,  April  24, 2018

Unit 3 Review (Day 1)

Page 156  # 9-11, 14-26 

Page 219  #18-20           

Wednesday, April 25, 2018

 

Unit 3 Review (Day 2)

Page 156  # 9-11, 14-26 

Page 219  #18-20           

Thursday, April 26, 2018

Unit 3 Test

 























Unit 4: Introduction and Application of Vectors

Date

Topic/Learning Goals

Daily Work/Assignments

Friday, April 27, 2018

Introduction to Vectors

Page 279 # 1, 4-8, 10, 11

Monday,  April 30, 2018

 

Vector Laws

 

We will learn how to add and subtract vectors.

 

Page 290 # 1-7, 12, 15

 

 

 

 

 

Tuesday May 1, 2018

Multiplication of a Vector by a Scalar

We will learn how to create a linear combination of vectors.

 

Page 291  # 9, 11

Page 299  #2bd, 4cde, 5, 6bde, 13-15, 21

Wednesday,  May 2, 2018

Properties of Vectors

 

Page 306  # 5-10, 12

 

Thursday,  May 3, 2018

Algebraic Vectors in 2-D and 3-D

 

Page 317  # 5, 9, 10ade, 16adf

Page 324  #2, 4, 6-8

Page 332  # 1-3, 5

 

Friday,  May  4, 2018

P.A. Day

 

Monday,  May  7, 2018

Operations of algebraic vectors in 2-D and 3-D

 

Page 324  #1, 5, 9, 10, 12-14 

Page 332  # 4, 6, 7, 10, 12, 14

 

Tuesday,  May  8,  2018

Linear Combinations of Vectors

We will learn how to apply vector concepts to do linear combinations

Page 341  # 2, 7, 9-13, 16

 

 

Wednesday, May 9, 2018

Quiz #7

 

Velocity as a Vector

 

 

Page 369  # 1- 12

 

Thursday, May 10, 2018

Vectors as Forces

 

Page 362  # 3,  5, 6, 8, 10-17

 

 

Friday, May 11, 2018

Vectors as Forces (Day 2)

 

Monday May 14, 2018

Dot Product of Vectors

We will learn the dot product of vectors

Page 377  # 6abef,  7abdf, 8, 9, 12, 13, 17

 

Page 385  # 2, 4, 6, 7, 10, 13, 16, 17

 

Tuesday, May 15, 2018

Scalar and Vector Projections

Page 398  # 1, 5-8, 11, 12, 14, 15a

 

 

Wednesday, May 16, 2018

Cross Product of Vectors

We will learn the cross product of two vectors.

Page 407  # 3,  4abc, 5, 7, 8b, 11

 

Thursday, May 17, 2018

Review  (Day 1) -Prom

 

Page 418  #  1-18

Friday, May 18, 2018

Review – Day 2

Page 419  #  19-37

Monday May 21, 2018

Victoria Day

 

Tuesday, May  22, 2018

Application of the Dot and Cross Product

Page 414  # 1,  2a, 3, 5b, 7a, 8, 9

 

Wednesday, May 23, 2018

Begin Final Unit

 

Equations of Lines in 2-D

Page 434  # 6, 7, 9, 10

Page 443   # 1, 3, 5-11

Friday, May 25, 2018

Unit 4 Test

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Unit 5: Lines and Planes

Date

Topic/Learning Goals

Daily Work/Assignments

Monday, May 28, 2018

Equations of Lines in  3-D   

 

We will determine vector, scalar and parametric  equation of a line in three  dimensions

Page 449   # 1acef, 3-6, 9, 10 bd, 11, 13

 

 

Tuesday, May 29, 2018

Equations of Planes

 

We will learn to write vector and parametric equations  of planes.

Page 459  #1, 3, 4, 6-8, 11, 13ab

 

 

 

Wednesday, May 30, 2018

Scalar Equations of Planes

 

We will determine Cartesian (Scalar) equation of a plane.

Page 468  # 1, 5, 7, 9b, 11- 13, 15

 

 

Thursday, May 31, 2018

Sketching Planes in Space

 

We sketch planes in space.

Page 476  # 1, 4-6, 8-10

 

 

Friday, June 1, 2018

Intersection of Lines in 2-D and

3-D

Page 497  #  8-12, 14, 15

 

Monday, June 4, 2018

Intersection of a Line with a Plane

Page 496  #  3-5,  7, 13, 17

 

Tuesday, June 5, 2018

Quiz #8

 

 

 

 

 

Wednesday, June 6, 2018

Systems of Equations          (Gauss-Jordan Elimination)

 

Page 507  # 1, 3, 8, 9, 12 

Page 595  # 3

 

 

Thursday, June  6, 2018

Intersection of 2 Planes

 

Page 516  #  1-4,  6,  10

Friday, June 8, 2018

Intersection of 3 Planes

 

Carnival Day

Page 531  #  8, 10, 12, 13, 15

Monday, June 11, 2018

Distance from a Point to a Line in 2-D and 3-D

Page 540 # 1b,2b, 3b, 4b, 5, 6b, 8, 10

 

Tuesday, June 12, 2018

Distance from a Point to a Plane in 2-D and 3D

Page 549  # 2-7

 

 

Wednesday, June 13, 2018

Review –Chapter 8

Page 480  # 1, 3ab, 4-15, 17, 19, 20ad, 21a, 23, 29, 30, 33, 34

 

Thursday, June 14, 2018

Review – Chapter 9

 

Page 552  # 1-3, 5-8, 9a, 10, 12, 13b, 16, 19, 23, 26

Friday, June 15, 2018

Course Review  (Calculus)

 

Course Review  (Vectors)

 

Course Review 

Page 267, All questions except 1d.

Page 557, All questions

 

Page 160 # 1-8

Page 220 # 1-7

 

Tuesday, June 19, 2018

Period 5 Calculus Exam

 

Wednesday, June 20, 2018

Period 1 Calculus Exam