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:

Evaluation

Topics

Tentative Date:

Quiz

Velocity and Acceleration

Mar 7

Quiz

Curve Sketching

Mar 28

Unit Test #2

All of Unit 2

Apr 5

 

 

Unit 2:  Applications of Derivatives

Date

Topic/Learning goals

Daily Work/Assignments

Wed

Feb 28

Higher Order Derivatives

We will determine the meaning and use of higher order derivatives.

 

Click here for Class Notes

P. 127 #2

Worksheet 2.8 #1 – 8

Click here for a copy of the worksheet

Mon

Mar 5

Velocity and Acceleration

To apply higher order derivatives to interpreting motion.

 

Click here for Class Notes

 

Displacement Velocity and Acceleration - Solutions

P. 127 #3, 4, 6bc, 8, 10 – 12, 14, 15, 17

 

Click here for more practice

Tue

Mar 6

Minimum & Maximum on an Interval

We will learn how to find local and absolute minimum and maximum points.

 

Click here for Class Notes

P. 135 #2, 3bcf, 4bcde, 5 - 7, 9, 10, 12

Wed

Mar 7

Quiz

 

Optimization Problems – Measurement

 

Click here for Class Notes

 

Click here for solutions to Examples 3 and 4 from lesson

 

Click here for solved position velocity optimization tutorial.

p. 145 #1, 3 – 5, 7 – 9, 11, 13 – 14, 20, 21

Thu

Mar 8

Optimization Problems – Economics

We will use our algorithm for finding optimum values to solve problems involving money.

 

Click here for Class Notes to Optimization Day 2

 

Click here for solved economics optimization tutorial.

P. 145 #15, 16

P. 151 #1, 4, 6 – 9, 11ab, 12, 14

Fri

Mar 9

Optimization Problems – Practice Day 1

To practice and extend our skills with optimization problems.

 

Click here for solved 3D shape optimization tutorial.

P. 257 #7, 11 – 13

P. 245 #8, 9, 11, 14

Click here for solutions for #8 and #9

Mar 12 – Mar 16

MARCH BREAK!!!

ENJOY AND BE SAFE J

Mon

Mar 19

Optimization Problems – Practice Day 2

To practice our skills with optimization problems.

 

Click here for solved graphing optimization tutorial.

Handout:  Optimization Problems

Click here for extra practise!!

Tue

Mar 20

Increasing and Decreasing functions, Local extreme values

We will determine the locations of local extreme points and intervals of increase and decrease.

 

Click here for Class Notes

P. 169 #1, 3, 5, 7, 8

P. 178 #5, 7 – 9, 11, 15

P. 246 #10, 12

P. 260 #6

Wed

Mar 21

Asymptotes

We will determine the equations of vertical, horizontal, and oblique asymptotes.

 

Click here for the solutions to the lesson.

P. 193 #1, 5, 7, 9, 10, 12, 14, 17

Thu

Mar 22

Concavity and Points of Inflection

To define and develop a method for finding concavity and points of inflection in our graphs.

 

Click here for the solutions to the lesson.

P. 205 #2, 4, 8 – 11

Fri

Mar 23

Curve Sketching – Day 1

We will determine an algorithm for curve sketching.  Learn to draw the derivative of a function.

 

Click here for the solutions to the lesson.

P. 212 #3, 4abefgh, 6

Handouts: 

The Derivative Function –

Click here for solutions

 

Matching Derivatives Sheet –

Click here for solutions

Mon

Mar 26

Curve Sketching – Day 2

We will practice our algorithm for curve sketching.

 

Click here for the solutions to the lesson.

P. 213 #4cdij, 7

P. 257 #8

Handout – Click here for solutions

Tue

Mar 27

Curve Sketching Review

 

Click here for the solutions to the lesson.

 

Click here for more curve sketching practice with solutions.

P. 217 #1,3, 5, 7, 12, 14, 17

Click here for Extra Practice on Curve Sketching

 

HW + Answers

Wed

Mar 28

Quiz

 

Intro to Related Rates

We will the concept of related rates and apply the approach to problems related to geometry.

 

Click here for the solutions to the lesson.

P. 569 #1ab, 3 – 7, 12, 13, 15 – 17, 20

 

Click here for a solution to #17

Click here for a more detailed solution!

Thu

Mar 29

Related Rates – Day 2

To apply related rates to problems involving the Pythagorean theorem.

 

Click here for the solutions to the lesson.

P. 569 #1cde, 2, 8 – 11, 18, 19, 21

 

Fri

Mar 30

Good Friday

 

Mon

Apr 2

Easter Monday

 

Tue

Apr 3

Review

 

Wed

Apr 4

Unit Test Review

Thu

Apr 5

UNIT TEST #2

UNIT TEST #2