MCV4U – Calculus and Vectors

 

Link to Mrs. Marsella’s Webpage                                                 Link to RHHS Math Page

Link to updated textbook answers

Link to Previous Unit:  Unit 1     Unit 2     Unit 3

 

Upcoming Evaluations:

Evaluation

Topics

Date

Quiz #6

Geometric Vectors

(Apr 27 – May 2)

Tuesday, May  8

Unit Test #4

All of Unit 4

Friday, May 25

 

Click here for a 3D Vector Graphing Applet!!!

 

Unit 4:  Intro and Applications of Vectors

Date

Topic/Learning goals

Daily Work/Assignments

Fri Apr 27

Begin Unit 4

Introduction to Vectors

We will learn what a scalar and vector is.  Learn to draw vectors and determine when they are parallel, opposite or equal.

Click here for the lesson.

P. 279 #1, 4 – 8, 10, 11

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

P.A. Day

ENJOY YOUR BREAK!!

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

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!

P. 341 #2, 7, 9 – 13, 16

Wed May 9

 

 

Velocity as a vector

Click here for the lesson.

P. 369 1 – 12

Thu May 10

Vectors as forces

Click here for the lesson.

P. 362 #3, 5, 6, 8, 10 -17

 

Fri May 11

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

Mon May 14

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

Tue May 15

Cross product of vectors

Define the cross product of two vectors.

Click here for the lesson.

P. 407 #3, 4abc, 5, 7, 8b, 11

Wed May 16

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

Thu May 17

PROM

Review Day 1 – Vectors

P. 418 #1 – 18

Fri May 18

 

 

Review Day 2 - Applications/Products of Vectors

P. 419 #19 – 37

Mon May 21

VICTORIA DAY!!

HAVE A GREAT BREAK!!

Tue May 22

Review Day 3

 

Wed May 23

BEGIN FINAL UNIT!!!

Equations of Lines in 2D

We will determine the vector, scalar, parametric, and symmetric forms for the equation of a line in two-dimensions.

Click here for Cartesian Equation lesson

Click here for Equations of lines lesson

P. 434 #6, 7, 9, 10

P. 443 #1, 3, 5 – 11

Thu May 24

BEGIN FINAL UNIT!!!

Equations of Lines in 3D

To determine the vector, scalar, and parametric forms for the equation of a line in three-dimensions.

Click here for the lesson

P. 449 #1acef, 3 – 6, 9, 10bd, 11, 13

Fri May 25

UNIT TEST #4

UNIT TEST #4