SATEC @ W.A. Porter C.I.

MCV4U1-07 – Calculus and Vectors - Grade 12 University Preparation

School Year 16-17 Semester 1

Period C Room 230

 

Marks Update

*Disclaimer:  These are your RAW marks, the purpose is for you to check that your marks were input correctly.

The percentage there is just for your own reference, there might be adjustment of the weightings at the end of the semester.

 

Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)

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

NEW University of Waterloo: The Centre for Education in Mathematics and Computing Courseware: Calculus and Vectors

 

Recommended Graphing Software:

1.     Graphmatica

2.     desmos

 

Having Trouble with Math?

·         How to Study Mathematics

·         Before School / Lunch Math Help Schedule

·         Peer Tutoring: Monday to Thursday 3:30-4:30 in Room 101

 

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

 

 

 

 

September 2016

Monday

Tuesday

Wednesday

Thursday

Friday

5

6

7

8

9

Labour Day

 

 

 

Course Profile

Chapter 6 Prerequisite Skills

 

 

6.1 Introduction to Vectors

Who's Vector?

 

6.2 Addition and Subtraction of Vectors

 

Touring Ottawa with Vector Addition

 

6.2 cont’d

12 Eid

13

14

15

16

Work Period

Textbook Distribution

 

 

 

6.3 Multiplying a Vector by a Scalar

 

6.4 Applications of Vector Addition (day 1)

6.4 Day 2

2-D Navigation

Head to Tail (2 ways)

Tail to Tail

 

Quiz 6.1-6.3

6.4 Day 3

 

19

20

21

22

23

6.5 Resolution of Vectors Into Rectangular Components

 

Ch.6 Review

Ch. 6 Practice Test

Chapter 6 Test

University Fair

Grade 9 Orientation

Work Period

 

26

27

28

29

30

7.1 Cartesian Vectors

 

 

 

7.2 Dot Product

 

 

7.3 Applications of the Dot Product

7.4 Vectors in Three-Space

7.4 Day 2

 

 

 

October 2016

Monday

Tuesday

Wednesday

Thursday

Friday

3

4

5

6

7

7.4 3-D Navigation

 

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

 

7.1-7.3 Review

Quiz 7.1-7.3

7.5 The Cross Product and Its Properties

PA Day

10

11

12

13

14

Thanksgiving

 

 

 

 

7.6 Applications of the Dot Product and Cross Product

 7.6 cont’d

Chapter 7 Review

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

Day 1 – 2 space

17

18

19

20

21

Chapter 7 Test

 

 

 

8.1 cont’d

Day 2 – 3 space

8.2 Equations of Planes

OSSLT

8.2 cont’d

24

25

26

27 Parents Interview

28

8.3 Properties of Planes

 

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

 

(lines in 2 space)

 8.4 (Day 2)

 

(lines in 3 space)

 

8.4  (Day 3)

 

Distance between skew lines

 8.5 Intersections of Lines and Planes 

 

31

 

 

 

 

Work Period

Quiz Review

 

 

 

 

 

 

 

 

November 2016

Monday

Tuesday

Wednesday

Thursday

Friday

 

1

2

3

4

 

 

 

 

Quiz 8.1-8.3

 

8.6 Intersections of Planes

 

8.6 (Day 2)

8.6 (Day 3)

Chapter 8 Review

7

8

9

10

11                Term 1 Ends

Thinking Assignment Due

 

Thinking Assignment Quiz

 

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

14            Term 2 Begins 

15

16

17

18

 1.4 cont’d

 

 

1.5 Introduction to Derivatives

The Calculus Controversy

 

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

2.1 Derivative of a Polynomial Function

 

 

Chapter 1 Review

PA Day 

21

22

23

24

25

Chapter 1 Review (Day 2)

 

 

Chapter 1  Quest

 2.2 The Product Rule

 

2.3 Velocity, Acceleration, and Second Derivatives

2.3 cont’d

28

29

30

 

 

2.4 The Chain Rule 

2.5 Derivatives of Quotients

 

 

 

 Quiz 2.1-2.3

 

 

 

 

 

 

 

 

December 2016

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

1

 

 

 

 

 

 

2.6 Rate of Change Problems

PA Day

5

6

7

8

9

Differentiation Review

(with solutions)

 

 

 

 

 

Differentiation Review (day 2)

Chapter 2 Review

Chapter 2 Review

(day 2)

Chapter 2 Test

 

12

13

14

15

16

3.1 Increasing and Decreasing Functions

3.2 Maxima and Minima

3.3 Concavity and the Second Derivative Test

 

3.4 Simple Rational Functions

 

 

3.5 Putting It All Together

Sketch

f(x)=x^3/(x^2-4) 

with full analysis.

 

Full Analysis done in Maple

 

 

19

20

21

22

23

Quiz 3.1-3.3

 

 

 

3.6 Optimization Problems

 

Chapter 3 Review

Chapter 3 Test

3.6 cont’d

26

27

28

29

30 

 

 

Winter Holidays

 

 

 

 

 

January 2017

Monday

Tuesday

Wednesday

Thursday

Friday

2

3

4                  

5                             

6

 

Winter Holidays

 

 

 

9

10          

11                    

12                    

13                

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

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

 

5.5 The Derivative of y = tan x

5.3 Optimization Problems Involving Exponential Functions

 

 

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

 

16        

17                     

18  Moratorium

19  Moratorium

20   Moratorium

Thinking Assignment Due

Thinking Assignment Quiz

 

Chapter 5 Review

 

 

Chapter 5  and Optimization Test

 

 

 

Exam Review (Courtesy of Ms. Wimbs)

Topics covered on the Exam

 

Term mark Adjustment

Exam Review (Courtesy of Cathedral High School)

23   Moratorium

24   Tutorial/Exams   

25  Exams    

26  Exams

27  Exams

Exam Review Solutions
(Courtesy of Cathedral High School)

 

 

 

 

 

 

 

Final Exam

9:00am-11:00am

MCV4U1-07

Room 231

 

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

 

 

30  Exams

 31  Exams

Feb. 1   Mark Return Day