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: #3-8, 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 #2-7, 9-13, 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