SATEC @ W.A. Porter C.I.

MCV4U1-01 – Calculus and Vectors - Grade 12 University Preparation

School Year 11-12 Semester 2

Period 3 (Day 1) Room 230

 

 

Unofficial Final Marks

 

It’s been my pleasure to get to know you guys in your final semester at SATEC.    I can’t believe this semester and your high school career have come to an end… February was like yesterday!

I wish you guys all the best with your university studies come September.  You guys are all great independent learners so I am sure you will all do fine.

Keep in touch… don’t forget to visit next year.   Have an awesome and relaxing summer!

 

Sincerely yours,

Carl Ma

 

 

 

 

Announcement(s):

 

 

 

Links:

 

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

 

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

 

Having Trouble with Math? Before School / Lunch Math Help Schedule

 

Recommended Graphing Software: Graphmatica

 

How to Study Mathematics

 

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

 

 

 

February 2012

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

1

2

3      First Day of  Sem 2

 

 

 

 

 

 

 

 

Course Profile

 

Warm Up Activity:

That’s the Way the Ball Bounces!

 

6

7

8               PLC Staff PD

9

10 textbooks distribution

Prerequisite Skills

 

1.2 Rates of Change Using Equations

 

 

 1.3 Limits

 

 

1.4 Limits and Continuity

 

 

 

1.4 cont’d

1.5 Introduction to Derivatives

 

The Calculus Controversy

13

14

15

16

17

 Quiz 1.2-1.4

 

1.5 cont’d

 

 

 Math League Contest

 

2.1 Derivative of a Polynomial

Function

 

 2.1 cont’d

Chapter 1 Review

 

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

 

 

PA Day

20

21

22

23

24

 

Family Day

 

 

Chapter 1 Test

 

 2.2 The Product Rule

 

2.3 Velocity, Acceleration, and Second Derivatives

 

Day 1: Second Derivatives

 

 

 

2.3 cont’d

 

Day 2:  Velocity and Acceleration

 

Our class handout

 

 

 

27

28                       Assembly

29             Staff Meeting

 

 

 2.4 The Chain Rule

 

 

 

 

2.1-2.3 Quiz

 

Ms. Wimb’s handout on s(t), v(t) and a(t) graphs

 

Graphing the Derivative of a Function

 

Derivative Puzzles

 

 

2.5 Derivatives of Quotients

 

 

 

 

 

 

 

March

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

1

2

 

 

 

 

 

 

2.6 Rate of Change Problems

 

Differentiation Review

(with solutions)

 

5

6

7                PLC Staff PD

8

9

Chapter 2 Review

 

 

 

 

 Chapter 2 Test

 

3.1 Increasing and Decreasing Functions

 

3.2 Maxima and Minima

 

 

3.3 Concavity and the Second Derivative

Test

 

12

13

14

15

16

 

March Break

 

 

 

19

20

21

22

23

3.4 Simple Rational Functions

 

 

 

Horizontal Asymptotes

Oblique Asymptotes

 

Rational Function Graphs Matching Exercise

 

3.5 Putting It All Together

 

Quiz 3.1-3.3

 

Multicultural Show

 

 

3.5 Cont’d

 

Sketch

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

with full analysis.

 

Full Analysis done in Maple

 

26

27

28               Staff Meeting

29

30

3.6 Optimization Problems

In-class curve sketching assignment

 

Solutions

 

3.6 cont’d

 

Handout

 

Solutions to Q#17-20 from textbook.

 

OSSLT

 

Parent-Teacher Interviews

 

Chapter 3 Review

 

Last Year’s Sample Test with solutions

 

Ms. Wimbs’ optimization review handout, courtesy of dIqram

 

 

 

April

Monday

Tuesday

Wednesday

Thursday

Friday

2

3

4

5

6

Chapter 3 Test

 

Read

4.1 Instantaneous Rates of Change of Sinusoidal Functions

on your own for homework at night

 

4.2 Derivatives of the Sine and Cosine Functions

 

Derivatives of Sine Functions

 

Proof of

Limit of (sin h)/h as h approaches 0 = 1

 

4.3 Differentiation Rules for Sinusoidal

Functions

Max/Min Questions Involving Trigonometric Functions

 

Ms. Wimb’s handout

 

 

Good Friday

 

 

9

10

11 Staff PLC

12

13             Term 1 Ends

 

Easter Monday

 

 

Max/Min Problems Take Up

 

4.4 Applications of Sinusoidal Functions

and Their Derivatives

 

 

 

Chapter 4 Review

Chapter 4 Test

16              Term 2 Begins

17

18

19

20

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

 

 

6.4 cont’d

23

24                  Report Cards

25               Staff Meeting

26

27

Quiz 6.1-6.3

 

6.5 Resolution of Vectors Into Rectangular Components

 

 Chapter 6 Review

7.1 Cartesian Vectors

 

 7.1 cont’d

Chapter 6 Test

30

 

 

 

 

7.2 Dot Product

 

 

 

 

 

 

 

 

 

 

 

May

Monday

Tuesday

Wednesday

Thursday

Friday

 

1               Full Disclosure

2

3

4

 

 

 

 

7.3 Applications of the Dot Product

7.4 Vectors in Three-Space

7.4 cont’d

 

Hot Docs

7

8

9               PLC  Staff PD

10

11

Quiz 7.1-7.3

 

7.5 The Cross Product and Its Properties

 

7.5CrossProduct.gsp

You must have Geometer’s Sketchpad.

 

 

 

7.5 cont’d

7.6 Applications of the Dot Product

and Cross Product

 

7.6 cont’d

Chapter 7 Review

 

14

15

16

17

18

Chapter 7 Test

 

 

 

8.1 Equations of Lines in Two-Space

and Three-Space

8.1 cont’d

8.2 Equations of Planes

8.2 cont’d

21

22

23

24

25

 

Victoria Day

 

 

8.3 Properties of Planes

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

8.4 cont’d

 

8.5 Intersections of Lines and Planes

 

 

 

28

29

30               Staff Meeting

31

 

Quiz (8.1-8.3)

 

 

 

 

 (Work Period)

8.6 Intersections of Planes

 

 

Chapter 8 Practice Test

 

 

 

 

 

June

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

 

1        SASSY Assembly

 

 

 

 

 

 

 

 Chapter 8 Review

4

5

6               PLC Staff PD

7                             Prom

8

Chapter 8 Test

 

 

 

5.1 Rates of Change and the Number e

 

5.2 The Natural Logarithm

 

 

5.3 Derivatives of Exponential Functions

 

5.4 Differentiation Rules for Exponential Functions

5.5 Making Connections: Exponential Models

 

 

11

12

13

14

15

 Chapter 5 Quest

 

 

 

 

Moratorium

 

 

18

19                              Exam

20                           Exam

21                              Exam

22                           Exam

 

Tutorial Day

 

 

 

MCV4U1-01

Final Examination

9:00-11:00

cafeteria

 

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

 

 

25                              Exam

26

27

28

29

 

 

 

 

 

Mark Review

 

PA Day

 

PA Day

 

PA Day