MCV4U – Calculus and Vectors
Link to
Mr. Karo’s Webpage Link to RHHS Math Page
Link
to updated textbook answers
UWaterloo CEMC
Courseware – on line
instructional videos with exercise & enrichment questions
Link to course units: Unit 1 Unit 2 Unit 3 Unit 4 Unit 5
Upcoming Evaluations:
Evaluation 
Topics 
Tentative Date: 
Quiz 
Velocity
and Acceleration 
Mar
7 
Quiz 
Curve
Sketching 
Mar
28 
Unit
Test #2 
All
of Unit 2 
Apr
5 
Unit 2:
Applications of Derivatives
Date 
Topic/Learning
goals 
Daily
Work/Assignments 
Wed Feb
28 
Higher
Order Derivatives We will determine the meaning and use of higher order
derivatives. Click here for Class Notes 
P.
127 #2 Worksheet
2.8 #1 – 8 Click
here for a copy of the worksheet 
Mon Mar
5 
Velocity
and Acceleration To apply higher order derivatives to interpreting motion. Click here for Class Notes Displacement Velocity and Acceleration  Solutions 
P.
127 #3, 4, 6bc, 8, 10 – 12, 14, 15, 17 Click
here for more practice 
Tue Mar
6 
Minimum
& Maximum on an Interval We will learn how to find local and absolute minimum and maximum
points. Click here for Class Notes 
P.
135 #2, 3bcf, 4bcde, 5  7, 9, 10, 12 
Wed Mar
7 
Quiz Optimization
Problems – Measurement Click here for Class Notes Click
here for
solutions to Examples 3 and 4 from lesson Click
here
for solved position velocity optimization tutorial. 
p.
145 #1, 3 – 5, 7 – 9, 11, 13 – 14, 20, 21 
Thu Mar
8 
Optimization
Problems – Economics We will use our algorithm for finding optimum values to solve
problems involving money. Click here
for Class Notes to Optimization Day 2 Click
here
for solved economics optimization tutorial. 
P.
145 #15, 16 P.
151 #1, 4, 6 – 9, 11ab, 12, 14 
Fri Mar
9 
Optimization
Problems – Practice Day 1 To practice and extend our skills with optimization problems. Click
here
for solved 3D shape optimization tutorial. 
P.
257 #7, 11 – 13 P.
245 #8, 9, 11, 14 Click
here for solutions for #8 and #9 
Mar
12 – Mar 16 
MARCH
BREAK!!! 
ENJOY
AND BE SAFE J 
Mon Mar
19 
Optimization
Problems – Practice Day 2 To practice our skills with optimization problems. Click
here
for solved graphing optimization tutorial. 
Handout: Optimization Problems Click
here for extra practise!! 
Tue Mar
20 
Increasing
and Decreasing functions, Local extreme values We will determine the locations of local extreme points and
intervals of increase and decrease. Click here for Class Notes 
P.
169 #1, 3, 5, 7, 8 P.
178 #5, 7 – 9, 11, 15 P.
246 #10, 12 P.
260 #6 
Wed Mar
21 
Asymptotes We will determine the equations of vertical, horizontal, and
oblique asymptotes. Click here for the solutions to the
lesson. 
P.
193 #1, 5, 7, 9, 10, 12, 14, 17 
Thu Mar
22 
Concavity
and Points of Inflection To define and develop a method for finding concavity and points
of inflection in our graphs. Click here for the solutions
to the lesson. 
P.
205 #2, 4, 8 – 11 
Fri Mar
23 
Curve
Sketching – Day 1 We will determine an algorithm for curve sketching. Learn to draw the derivative of a
function. Click here
for the solutions to the lesson. 
P.
212 #3, 4abefgh, 6 Handouts: The
Derivative Function – Click
here for solutions Matching
Derivatives Sheet – Click
here for solutions 
Mon Mar
26 
Curve
Sketching – Day 2 We will practice our algorithm for curve sketching. Click here
for the solutions to the lesson. 
P.
213 #4cdij, 7 P.
257 #8 Handout
– Click here
for solutions 
Tue Mar
27 
Curve
Sketching Review Click here
for the solutions to the lesson. Click here for
more curve sketching practice with solutions. 
P.
217 #1,3, 5, 7, 12, 14, 17 Click
here for Extra
Practice on Curve Sketching 
Wed Mar
28 
Quiz Intro
to Related Rates We will the concept of related rates and apply the approach to
problems related to geometry. 
P.
569 #1ab, 3 – 7, 12, 13, 15 – 17, 20 Click
here for a solution to #17 Click
here for a more detailed solution! 
Thu Mar
29 
Related
Rates – Day 2 To apply related rates to problems involving the Pythagorean
theorem. 
P.
569 #1cde, 2, 8 – 11, 18, 19, 21 
Fri Mar
30 
Good
Friday 

Mon Apr
2 
Easter
Monday 

Tue Apr
3 
Review 

Wed Apr
4 
Unit
Test Review 

Thu Apr
5 
UNIT
TEST #2 
UNIT
TEST #2 