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 (Note: Dates are tentative):
Evaluation 
Topics 
Suggested
Date 
Quiz
#7 
Vectors
up to: Operations with algebraic vectors in 2D and 3D 
May
8 
Unit
Test #4 
All
of Unit 4 
May
29 
Click here
for a 3D Vector Graphing Applet (Works on Microsoft IE only)
Unit 4:
Intro and Applications of Vectors
Date 
Topic/Learning
goals 
Daily
Work/Assignments 
Wed Apr
25 
Begin
Unit 4 Introduction
to Vectors 
P.
279 #1, 4 – 8, 10, 11 
Thu Apr
26 
Unit
3  Test Review 
Handouts 
Fri Apr
27 
Unit
3 Test 

Mon Apr
30 
Vector
Laws To determine how to add vectors and how to write a vector as a
combination of vectors. Click here for the
lesson. 
P.
290 #1 – 7, 12, 15 
Tue May
1 
Multiplication
of a vector by a scalar We will determine how to create a linear combination of vectors. Click here
for the lesson. 
P. 291 #9, 11 P. 299 #2bd, 4cde, 5, 6bde, 13 – 15, 21 
Wed May
2 
Properties
of vectors To determine the properties of vectors. Click here
for the lesson. 
P.
306 #5 – 10, 12 
Thu May
3 
Algebraic
vectors in 2D and 3D We will learn to write vectors in different forms and to
determine magnitude (2D/3D) and direction (2D). Click here for the
lesson. 
P.
317 #5, 9, 10ade, 16adf P.
324 #2, 4, 6 – 8 P.
332 #1 – 3, 5 
Fri May
4 
PA
DAY 
PA
DAY 
Mon May
7 
Operations
with algebraic vectors in 2D and 3D To develop a way to state vectors in component form and use
vectors to solve problems. Click here for
the lesson. 
P.
324 #1, 5, 9, 10, 12 – 14 P.
332 #4, 6, 7, 10, 12, 14 
Tue May
8 
Quiz
 Vectors up to: Operations with algebraic vectors in 2D and 3D Linear
combinations of vectors We will learn to apply the vector concepts to do linear
combinations. Click here
to check your answers to page 3! Click here
for in class recorded tutorial 
P.
341 #2, 7, 9 – 13, 16 
Wed May
9 
Linear
combinations of vectors We will learn to apply the vector concepts to do linear
combinations. 
Handout
Qs 
Thu May
10 
Linear
Dependence and Independence. We will learn to connect between linear dependency and
independency and the vectors being collinear or coplanar. Click here
for the lesson. 
Worksheet:
6.2: #38, 10a, 11a, 12 
Fri May
11 
Vectors
as forces – Part 1 Click here for
the lesson. 
P.
362 #3, 5, 6, 8, 10, 11 
Mon May
14 
Vectors
as forces – Part 2 Click here for
the lesson. 
P.
362 #12 17 
Tue May
15 
Velocity
as a vector Click here
for the lesson. 
P.
369 1 – 12 
Wed May
16 
Dot
product of vectors Define dot product and understand its properties. Click here
for the lesson. Click here
for an explanation of dot product. 
P.
377 #6abef, 7abdf, 8, 9, 12, 13, 17 P.
385 #2, 4, 6, 7, 10, 11, 13, 16, 17 
Thu May
17 
Scalar
and vector projections Apply the dot product to projection problems. Click here
for the lesson. 
P.
398 #1, 5 – 8, 11, 12, 14, 15ab 
Fri May
18 
Cross
product of vectors Define the cross product of two vectors. Click here for the
lesson. 
P.
407 #3, 4abc, 5, 7, 8b, 11 
Mon May
21 
Victoria
Day 

Tue May
22 
Applications
of dot and cross product We will apply our knowledge of dot and cross product to
application problems. Click here
for the lesson. 
P.
414 #1, 2a, 3, 5b, 7a, 8, 9 
Wed May
23 
Strat
Unit 5: Equations of Lines in 2D 
P. 434 #6, 7, 9, 10 
Thu May
24 
Review
Day 1 – Vectors 
P.
344 #27, 913, 15, 16a, 20, 22, 23 P.
418 #1 – 18 
Fri May
25 
Review
Day 2  Applications/Products of Vectors 
P.
419 #19 – 37 
Mon May
28 
Unit
5: Scalar Equations of
Lines in Plane Click here for Scalar Equations of lines
lesson Click here for another version on vector
equation of line lesson 
P. 443 #1, 3, 5 – 11 
Tue May
29 
UNIT
TEST #4 
