SATEC @ W.A. Porter C.I.

MCV4U1-03/06 – Calculus and Vectors - Grade 12 University Preparation

School Year 13-14 Semester 2

Section 03 - Period A Room 230

Section 06 - Period D Room 230

 

Unofficial Final Marks:

It was a pleasure to have you guys in my class in your last (hopefully) semester here at SATEC.    The exam average was only 61% but the final mark averages were 73% and 75% which is still very respectable.  Congratulations to those who worked hard to maintain their marks!   Hopefully you all learned some math and will do well in your first year Calculus.  I would like to wish all of you the best of luck in your future endeavours.   Don’t forget to visit.  You know where to find me.

Have a great summer!

 

MCV4U1-03 (am)

MCV4U1-06 (pm)

 

The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 (revised)

Textbook Used:  Calculus & Vectors 12, McGraw Hill Ryerson, 2008

Recommended Graphing Software:  Graphmatica

How to Study Mathematics

Official SATEC @ W.A. Porter C.I. Website

 

February

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

 

Jan 31 Semester 2 Begins

 

 

 

 

 

 

 

Course Profile

Prerequisite Skills

 

 

3

4

5                 

6

7

6.1 Introduction to Vectors

Who's Vector?

 

6.2 Addition and Subtraction of Vectors

6.3 Multiplying a Vector by a Scalar

 

6.4 Applications of Vector Addition (day 1)

Quiz 6.1-6.3

6.4 cont’d

 

10

11

12                PLC Staff PD

13

14

6.4 cont’d

 

 

6.5 Resolution of Vectors Into Rectangular Components

 

Chapter 6 Review

Chapter 6 Practice Test

 Chapter 6 Test

17       

18                        Ski Trip

19

20

21                      

 

Family Day

 

 

 

 7.1 Cartesian Vectors

7.2 Dot Product

 

 

 7.3 Applications of the Dot Product

Quiz 7.1-7.2

 

7.3 cont’d

24

25

26             Staff Meeting

27

28

 7.4 Vectors in Three-Space

 

 

 

 7.5 The Cross Product and Its Properties

7.6 Applications of the Dot Product and Cross Product

 

 Quiz 7.3-7.4

 7.6 cont’d

 

 

March

Monday

Tuesday

Wednesday

Thursday

Friday

3

4

5                 PLC Staff PD

6

7

8.1 Equations of Lines in Two-Space and Three-Space

 

3D Navigation Example

 

Video of the 3D Model 7.4 p.401 # 35

 Chapter 7 Review

 

Chapter 7 Practice Test p.423 # 19

 Chapter 7 Test

 

PA Day

 

 

10

11

12

13

14

 

 

March Break

 

 

 

17       

18

19

20

21                      

 8.1 Equations of Lines in Two-Space and Three-Space (day 2)

 

8.2 Equations of Planes

8.2 cont’d

8.3 Properties of Planes

 

Quiz 8.1-8.2

8.3 cont’d

24

25

26             Staff Meeting

27

28                    Late Start

8.4 Intersections of Lines in Two-Space and Three-Space

 

 

 

 8.4 cont’d

8.5 Intersections of Lines and Planes

 

Quiz 8.3-8.4 Review

 

OSSLT

Parent – Teacher Interviews

No classes!

Quiz 8.3-8.4

 

8.5 cont’d

31

 

 

 

 

Thinking Assignment Due

Thinking Assignment Quiz

 8.6 Intersections of Planes

 

 

 

 

 

 

 

 

 

 

April

Monday

Tuesday

Wednesday

Thursday

Friday

 

1

2

3

4

 

8.6 cont’d

 

 

 

 

8.6 cont’d

 Chapter 8 Review

 Chapter 8 Review (cont’d)

7

8

9                PLC Staff PD

10

11     Sem 2, Term 1 Ends

Chapter 8 Test

 

1.1 Rates of Change and the Slope of a Curve

1.2 Rates of Change Using Equations

 

1.3 Limits

 

1.4 Limits and Continuity

  1.4 cont’d

 

14    Term 2 Begins            

15         Euclid Math Contest

16                 

17                  

18

  Quiz 1.2-1.4

 

 

 

 1.5 Introduction to Derivatives

The Calculus Controversy

 

1.5 cont’d

 

Please take a moment to read more about the concept of Infinity

Chapter 1 Review

 

 

Good Friday 

21

22                       Earth Day

23

24

25

 

Easter Monday

 

 

2.1 Derivative of a Polynomial Function

 

 

Chapter 1 Test 

2.1 cont’d 

 2.2 The Product Rule

 

 

28

29

30            Staff Meeting

 

 

2.3 Velocity, Acceleration, and Second Derivatives

 

 

 

 

2.4 The Chain Rule 

 

 

 

 

May

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

1

2                 Full Disclosure

 

 

 

 

 

 

2.4 cont’d

2.5 Derivatives of Quotients

5

6

7                   PLC Staff PD

8

9

2.6 Rate of Change Problems

 

 

 

 2.6 cont’d

Differentiation Review

(with solutions)

 

Chapter 2 Review

 3.1 Increasing and Decreasing Functions

 

12

13

14

15

16

 Chapter 2 Test

 

 

 

3.1 Increasing and Decreasing Functions

3.2 Maxima and Minima

3.3 Concavity and the Second Derivative Test

 

3.4 Simple Rational Functions

19

20

21

22

23

 

Victoria Day

 

 

 Quiz 3.1-3.3

 

3.5 Putting It All Together

Sketch

f(x)=x^3/(x^2-4)

with full analysis.

 

3.5 cont’d

Full Analysis done in Maple

 

3.6 Optimization Problems

Curve sketching In-class Activity

26

27

28              Staff Meeting

29

30                        SAC BBQ

 3.6 cont’d

 5.1 Derivatives of Exponential Functions, y=e^x

 

5.2 The Derivative of the General Exponential Function, y=b^x

5.3 Optimization Problems Involving Exponential Functions

 5.4 The Derivatives of y = sin x and y = cos x

 

 

 

 

June

Monday

Tuesday

Wednesday

Thursday

Friday

2

3

4                  PLC Staff PD

5                              PROM

6

Quiz 3.6, 5.1, 5.2

5.4 Day 2

 

5.5 The Derivative of y = tan x

 

Optimization Problems Involving Trigonometric Functions (Ms. Wimb’s handout)

Chapter 5 Review

 

 

 

9

10          Athletic Assembly

11                    Moratorium

12                    Moratorium

13                Moratorium

Chapter 5  and Optimization Test

 

Exam Review

Ch. 6-7

Exam Review

Ch. 8

Exam Review

Chapter 1-2

Exam Review

Chapter 3

16       Moratorium             

17                     Tutorial Day

18                            Exams

19                            Exams

20                       Exams

 Exam Review

Chapter 5

 

 

 

 

 

Final Exam

9:00am-11:00am

MCV4U1-03 (am)

Room 228

 

MCV4U1-06 (pm)

Room 231

 

Bring your textbook, pencils, eraser, ruler and non-programmable scientific calculator

 

 

 

23                            Exams

24                             Exams   

25           

26

27

 

 

 

 

 

 

Mark Review Day

 

PA Day

Commencement 2014

 

PA Day 

30

 

 

 

 

 

 PA Day