Mrs. Gad – Homework – Spring 2020

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Last Week Daily Office Hours:

 Monday - Wednesday:       10:00 am – 11:00 am

                           Thursday:                1:00 pm – 2:00 pm

                           Friday:                      11:00 am – Noon

 

Colour Legend

Work found in the textbook is in blue.

Handouts given out in class (or pages from the course pack) are in green.

If they are underlined, then click to view the file.

Optional extra home practice is in lavender.

Test and quiz announcements are in orange.

Link to survey https://docs.google.com/a/gapps.yrdsb.ca/forms/d/1ClvtyDqHAKe3szM7IW2L5klOLmY2j0alB_Oi7Wj4FbI/viewform?c=0&w=1

Handouts posted on this website are in Adobe Reader  ".pdf" format.

get_adobe_reader

CLASSES:

Period 4, 5

Grade 12 Calculus & Vectors

Please go to Ms. Marsella’s web page to watch some videos for the lessons!!

Period 1

Grade 11 U/C
Course Outline:

Course Pack (Part 1)

Course Pack (Part 2)

 

UPCOMING Quizzes:

   Assignment #4, Due on Monday, Jun 15, 2020 by 10:00 am

 Assignment #6, Due on Monday, June 22, 2020

UPCOMING events:

 Please check Ms. Marsella’s web page to have access to the Text Book pages!!                        

 

Just wanted to share that Nelson has extended access to their on-line textbooks until July 31, 2020. 

FRI Jun 26

          Enjoy your summer and be safe!

         Enjoy your summer and be safe!

THUR Jun 25

Practice Exam: MCV4U Practice Exam (1).pdf.                      Solution of Practice Exam: MCV4U Practice Exam - Solutions (1).pdf

For Exam Review, please click here.

WED Jun 24

Course Review:

Calculus – P.267 All Questions (omit 1d)

 Vectors – P.577 All Questions

*  Present value: We learn how to calculate the present value using the compound interest formula, solving for “P”. Click here for  CP- P.92

*  Future value of an Annuity: We will learn how to calculate the future value of an Annuity, using the big formula. On page 93. Please watch this video  https://www.youtube.com/watch?v=BYhDoCAy__k

*  See solution to page 93, and some of page 94.  Finish CP- P.94-95

TUE Jun 23

*  9.3) The intersection of 2 Planes - Read Examples#1-5 , P. 510, click here for the handouts.

*  P. 516 #1 – 4, 6, 10

*  Compound Interest: We will learn how to use the formula F=P(1+i)^n to calculate the future value,  watch this video  https://www.youtube.com/watch?v=SnDxj9ZaMHM, and read these notes.

*  CP- P. 90 – 91 #1 – 5, 12 – 15, 17 - 19

MON Jun 22

*  9.2)System of Equations – P. 507 # 3 , 6, 9, 12

*  P. 595 Gauss-Jordan Elimination #3.   Click here for handouts.

*  Assignment #6 is Due Today, Last chance to improve you final mark!

*  Introduction to Compound Interest: We will learn how compound interest works Watch this first https://www.youtube.com/watch?v=1mG6ngIHbYk.

*  CP- P. 87- 89

FRI Jun 19

*   

*   

THUR Jun 18

*  9.1)Intersection of a Line with Lines  P. 497 # 8 -12, 14, 15

*  Intersection of a Line with a plane  P.496 # 3 – 5, 7, 13, 17

Click here for the handouts.

*  Simple Interest: We will learn how to calculate simple interest using formulas.  Please see the notes and watch this video https://www.youtube.com/watch?v=ZWCXrbnMN-E

*  CP- P. 85

WED Jun 17

*  8.5)Scalar Equation of Plane – P.468 # 1, 5, 7, 9b,11-13, 15. Click here for the handouts.

For text book pages and answers, please check Ms. Marsella’s web page

*  Please check your email for you last Assignment which is due on Monday June 22, 2020.

*  Converting Times and Rates:  We will learn basic terminology in financial mathematics. See notes for page 83.

*  CP- P.83

TUE Jun 16

*  8.4) Equations of Planes – P.459 # 1,3, 4, 6- 8,  11, 13ab. Click here for the handouts.

For text book pages and answers, please check Ms. Marsella’s web page

 

*  Applications of Exponential Functions (Day2)

*  CP- P.79 # 2,4, 7, 8, 12 – 14, 17. Click here for some answers from yesterday and today’s HWK pages.

MON Jun 15

*  Assignment #4 is Due Today by 10:00 am.                                              Late submission will not be accepted !!  

*  8.3) Equations of lines in 3D – P.449 # 1acef, 3-6, 9, 10bd, 11-13. Please see lesson handout. .

For text book pages and answers, please check Ms. Marsella’s web page   

*  Applications of Exponential Functions (Day1):  We will learn how to apply exponential functions to solve real life questions. Please click here for notes and solutions for page 76-77.

*  CP- P.76-77, 78# 1 – 7

FRI Jun 12

 

*  Click  here  for Assignment 4

*   Solving Exponential Equation:  For a review of    Exponent Laws, please watch this video https://www.youtube.com/watch?v=g5ZGDNxJwxA                            

*  To solve Exponential equations, please watch this video https://www.youtube.com/watch?v=E8E-tmwaR_E&t=327s 

*  Please Do      CP- P.75

THUR Jun 11

*   

*   

WED Jun 10

Begin of Final Unit (Chapter 8, 9)

*  8.1, 8.2)Equations of Lines in 2D - - P. 434 # 1-3, 6- 7,  9, 10                           P.443 # 1,3, 5- 11. Please click here for the handouts!  

For text book pages and answers, please check Ms. Marsella’s web page!

*   Exponential Function(Day 2): We will learn how to graph exponential function with different base “b”,and with vertical translation”q”. General equation is: y=b^x+q.  Please read the hand written notes first!, it is with the coursepack answers below.

*  CP- P.71-74 # 14 – 23, 1 - 15 click here for answers!

TUE Jun 9

*  Chapter 6 Review -  P.344 # 2-7, 9-13, 15, 16a, 20, 22, 23

*  Chapter 7 Review -  P. 418 # 1, 2, 4-10, 12-14,16, 18, 20-25, 30, 32, 37

*  Exponential Function(Day 1): We will learn how to graph the function andlearn its equation.

*  CP- P.69-71 # 1 - 13, click here for answers!

MON Jun 8

 

*  7.7) Applications of dot and cross product. Note:  You are only responsible for Page 1(we left page 2 and 3 as bonus material but it will not be evaluated).      Please click here for the lesson handouts.

*  P.414 #  2a, 5, 6,7a, 9

*  Assignment #5 is due today by 3:30 pm.

*  Start of Unit 5 Exponential Function: Radicals – We will learn how to work with radicals. Please watch this video https://www.youtube.com/watch?v=iX7ivCww2ws&t=5s

*  CP- P.67-68, click here for some answers!

FRI Jun 5

*  Application of Periodic Functions : Day 2

*  CP- P.58-60

THUR Jun 4

*  7.6) Cross Product of vectors: Please watch this video https://www.youtube.com/watch?v=jpKcpsNGgFo. Please read P. 401 – 407, see lesson handouts

*  P. 407 # 3, 4abc, 5, 7, 8b, 11

*  Application of Periodic Functions :Day 1 – Please watch carefully this video https://www.youtube.com/watch?v=Tgz6-tbRD1s  Or this video https://www.youtube.com/watch?v=MQB3MfRcmXk

*  CP- P.53-57

WED Jun 3

*  Analyzing Trigonometric Functions: Given an equation, determine the value of a, p, q, period, domain and range.                                       Given a graph, how to determine its equation, knowing a, p, and q     Study this note first!

*  CP- P.50-52.  Click here for solutions!

*  Check your email for Assignment #5!

TUS JUN 2

*  7.5) Scalar and Vector Projection, click here for lesson handouts!

*  P. 398 # 1,5 – 8, 11, 12, 14, 15ab

*    Periodic Functions https://www.youtube.com/watch?v=GxsIuDNFMhc

*  Please watch the first part of tis video https://www.youtube.com/watch?v=ACt5pm1pDLQ

CP- P.48-49.  Click here for solutions!

MON JUN 1

*   7.4) The Dot Product of Algebraic Vectors – Please read  P. 379 - 385        

*  P. 385# 2, 4, 6, 7, 10, 11, 13, 16, 17

*  Reflections of Trigonometric functions: The effect of “a”if it is negative, will be a reflection in the x-axis, similar to the parabola.So for sin, and cos functions, the maximumpoint on the graph will become a minimum and vice versa.  If we need to graph y=-2sin x, the graph will be stretched by a factor of 2, and reflected in the x-axis.

*  CP- P.47, click here for answers

FRI May 29

*  7.3) The Dot Product of 2 Geometric Vectors – Please read P. 371-376

*  P. 377# 6abef, 7abdf, 8, 9, 12, 13, 17  , Click here for lesson handout, Please notice the handouts are for 7.3) and 7.4).        

THUR May 28

*  I AM NOT AVAILABLE TO ANSWER YOUR QUESTIONS TODAY!!

*    I AM NOT AVAILABLE TO ANSWER YOUR QUESTIONS TODAY!!

WED May 27

*  7.2) Velocity as a Vector –Please read text p. 365 – 368 and Do P. 369# 1 – 12

*  Click here for the lesson handout

*    Transformations of Trigonometric Functions: We will learn how to stretch (or compress)the sine and cosine graphs vertically  and how tshift them horizontally to the right(or left) and how to shift vertically up or down.Please watch only  the first half of this video:  https://www.youtube.com/watch?v=MUcgqo6il_U

*  CP- P.43-45. Click here for answers.  Please study the first page’s    examples, second page is to be done as homework check and to be submitted on Monday.  The last 3 pages are the course pack HWK solution!

TUE May 26

*  7.1) Vectors as forces –  Please read  p.355 – 362., Work on P.362# 3, 5, 6, 8, 10 – 13, 16.17. Click here for the lesson handouts

*  Sketching Basic Trigonometric Functions: We will learn to sketch the 3 primary trig functions, y = sin x, y = cos x, and y = tan x , Please watch these videos https://www.youtube.com/watch?v=rFLggOVn0io

https://www.youtube.com/watch?v=uekIE2rOGtc 

 

*  CP- Pg 40 – 42.  Click here for solution.                                       

MON May 25

*  6.8) Linear Combinations of Vectors- Read textbook examples  - Page 334-340,then watch this videos https://www.youtube.com/watch?v=k7RM-ot2NWY,   and https://www.youtube.com/watch?v=vVC1eGEWJQs .           Click here for the lesson’s handouts.

*  Please Do P. 341# 2, 7, 9 – 13, 16

*  Assignment #4 is due today by 3:30 pm.

*   Special Angles:  We will learn how to find the sins, cosine an tangent of special triangles 30-60 degrees and 45-45 degrees right triangles.

Please watch this video https://www.youtube.com/watch?v=WPNuSwoIYWs                        CP- Pg 38 – 39.  Click here for solution.

FRI May 22

*  Check your email for Assignment #4.

THUR May 21

*  6.6, 6.7) Operations with algebraic vectors in 2-D and 3-D.  Please read Page 327 – 331 and Do    P. 324 # 1, 5, 9, 10, 12 – 14          P. 332 # 4, 6, 7, 10, 12, 14

*  Click here for lesson handout  

*  Coterminal Angles and Related Angles:  we will learn how to relate c Coterminal angles to related  angles, and how to reduce a big angle to a smaller one within 360 degrees.

*  CP- Pg.36, click here for some answers!

WED May 20

*  6.5, 6.6)Algebraic Vectors in 2-D and 3-D:   Click here for the lesson handout and watch this videos https://www.youtube.com/watch?v=VA5AmjhTA3A             https://www.youtube.com/watch?v=JBht9RWpMi4  https://www.youtube.com/watch?v=ySS3OHE6_c8                                                   https://www.youtube.com/watch?v=yFTp8U3K5Zc

*  P.317 # 5, 9, 10ade, 16adf       P. 324# 2, 4, 6 -  8       P. 332# 1 – 3, 5

*  Angles beyond  360 degrees , We will learn what is the meaning of a coterminal angle and how do we detrmine the angle given a diagram and knowing the related acute angle. Notice 1 full rotation= 360 degrees!

*  CP – P. 35-36., see the video below

*  https://www.youtube.com/watch?v=gEf0eOr7rVk

*  For course pack answers for P.34-35 click here

TUE May 19

*  6.4) Properties of Vectors: Please read p.302 – 306, and Do P. 306 # 5 - 11.  Please watch this short video https://www.youtube.com/watch?v=M8XL0uKn3vw and Click here for  lesson handout

*  Angles and Points, we will learn how to use SOH-CAH-TOA in determining the angle in the given Quad, and if  we know a point, how we can use it to know the Quad, the related (reference) angle and the ratios of sin cos, and tan for that Quad in exact fraction form.

*  CP –P. 33  see these videos:

*   https://www.youtube.com/watch?v=dnBXwD-2EdE

*   https://www.youtube.com/watch?v=Xh84E1Mfs-s

MON May 18        

*    Victoria Day

*    Victoria Day

FRI May 15     

*   

THUR May 14             

*  6.3)  Multiplication of a vector by a scalar – P.291 # 9, 11,   P. 299 # 2bd, 4cde, 5, 6bde, 13 – 15,21  Click here for the lesson handout     

*  You could listen to the lesson, using Ms. Marsella’s website!

*  Related Angles and the CAST rule, we will learn how to use the CAST rule – CP P.30 – 32.  Click here for CP Answers

*    See video https://www.youtube.com/watch?v=MtNcd0jNZPw&t=203s  

WED May 13      

*  Assignment #3 is Due today by 3:30 pm !    

TUE May 12  

*  6.2)  Vector Laws (+, -) P. 290 # 1 -  7, 12, 15.  Click here for the lesson handout

*  You could listen to the lesson, using Ms. Marsella’s website!

*  See this video https://www.youtube.com/watch?v=Ve6tWXojUlU

*  Trig for  Angles over 90 degrees, we will work with angles greater than 90 degrees, given a point in the xy-plane – CP- P28-29

*  See this videos        https://www.youtube.com/watch?v=Q4klMI1P0tw

https://www.youtube.com/watch?v=ElewYKmRQNw

MON May 11      

*  6.1) Introduction to vectors: P 279# 1, 4 – 8, 10,11. Click here for introductory lesson on vectors https://www.youtube.com/watch?v=pimr9I92GZY

*  See Lesson handout

  Assignment #3 is  Due today by 10:00 am.                                                 Late  submission will not be accepted  !!                         

Start of Unit 4 – Trigonometric Functions

*  Sketching positive and negative  angles in Standard Position – We will learn how to sketch positive and negative angles in standard position        CP- Pg.24 – 26

*  Click here for lesson                 https://www.youtube.com/watch?v=SRw-TnY-SzQ

*  https://www.youtube.com/watch?v=MtNcd0jNZPw

FRI May 8

*  Click here for Assignment 3

*  Review – Handout. Click here for a copy !

*  Check your email for Assignment 3!

THUR May 7

*  Unit 3 Review – Day 2 -   Pg245# 8, 9, 11    , for solutions for #8, #9,  please check Ms. Marsella’s web site!!

*  Problems Involving Sine Law and Cosine Law

*  CP –Pg 23 # 4, 5, 7, click here for the answer for  #5

WED May 6

*  Unit 3 Review – Day 1 - Pg156 #9 – 11,14 - 26,          Pg219 # 18 - 20 ,          

*  Problems Involving Sine Law and Cosine Law

*  CP –Pg 23 # 1 -3

TUE May 5

*  Handout:  Optimization Problems ( omit #2)

*  Handout: More Optimization Problems.   Click here for both handouts!

*    Bearings - CP- Pg. 22# 11 – 18,  click here for the solution of question 13

MON May 4

*  More practice with optimization - Day 4  -  Pg 265#

*   19, 20, 21                           Click here for the lesson handout.  Please note that the answer for Pg257#13 from yesterday’s hwk is example 1 of today’s handout!

*    Bearings- click here for lesson https://www.youtube.com/watch?v=cSKAqfGXOPI

*  https://www.youtube.com/watch?v=XTWZ_M8d-4g&t=244s

*  CP- Pg. 21 , Pg22# 1 -10,  click here for Pg 21’answers   click here for some solutions from page 22 #1, 2, 7

FRI May 1

*  Optimization Problems – Day3 - (Trig & Exponential Fn’s):                                                      Pg 245# 4-6          Pg 257 #6, 12 , 13,         Click here for the lesson handout                                     

*  When to use Sin& Cosine Law – Read Pg17 of CP,click here for summary https://www.youtube.com/watch?v=CPjB_z7PZt0

*  CP- Pg. 18 – 19.     Click here for some  solutions

THUR Apr 30

*   

*    The Cosine law , click here for video lesson https://www.youtube.com/watch?v=9CGY0s-uCUE

*  CP -P9 # 16

WED Apr 29

*  Optimization Problems – Day2 - (Economics & Travelling):                                  Pg 145 #15, 16,                    Pg 151 #1, 4, 6 – 9, 11ab, 12, 14                              Click here for the lesson handout                

*    The Sine Law, click here for video lesson https://www.youtube.com/watch?v=bDPRWJdVzfs

*  Click here for a solved Example   Do  CP. Pg. 15

TUE Apr 28

*  Click here for some video lessons https://www.youtube.com/watch?v=tSMuKcN-RKM

*  Assignment #2 is due today

MON Apr 27

*  Optimization Problems – Day 1- ( Measurements):                                                                    Pg 145 #1, 3 – 5, 7-9,  11- 14

*  Click here for lesson handout

*  Assignment #2 is due today at NOON!

*  Double Tangent Word Problems CP –Pg 13-14, click here for double tangent problem on page 13

*  Click here for examples   https://www.youtube.com/watch?v=OTP885mApV8    

FRI Apr 24

*  Click here for Assignment #2 - Curve Sketching

*  This assignment is due on Monday Apr 27 by NOON!

*  Check your email for Assignment #2 which is due on Tuesday, Apr28. 2020.

THUR Apr 23

*    Curve Sketching Review -   Pg 217 # 1, 3, 5, 7, 12, 14, 17

*    Angles of Elevation and Depression: CP –Pg 8

*  Click here for lesson https://www.youtube.com/watch?v=3H28-wzsF3s

WED Apr 22

*   

*   

TUE Apr 21

*  Curve sketching Day 2: Pg 213 # 4cdij, 7, 9, 11.    Pg 257 # 8.   Click here for examples handout

*  Assignment #1 Due, email it to me! By 2:00 pm!

*  Solving Right Triangles .Click here or lesson https://www.youtube.com/watch?v=w4D4KOxFsKA

*  CP Part2 –Pg. 4- 7 , for solution to page 6, click here

 MON Apr 20

*    Curve Sketching – Day 1: Pg 212 # 3, 4abefgh, 6.  Click here for lesson handout  

*    Unit 3 begins: Trig Ratios  -    SOH-CAH-TOA

*  CP Part 2 –-Pg. 1-3, click here for lessonhttps://www.youtube.com/watch?v=Jsiy4TxgIME

FRI Apr 17

*  No Classes

*  No Classes

THUR Apr 16

*  4.4) Concavity & points of inflection: Pg 205 # 2, 4, 8 -11 

*  Click here for lesson handouts   

*  Unit 2 Review 

*  CP- Review P. 74-75

WED Apr 15

*    4.3) Vertical, horizontal, and Oblique Asymptotes   : Please read examples on Page 182-191 an do Pg193 #1, 5,7, 9, 10, 12, 14, 17

*  Click here for lesson handout

*  Click here for a blank lesson

*  domain and range from Equations – CP – P. 71

*  More word Problems – CP – P. 72-73

*  Click here to see answers for P.71-73

*  Assignment #1, check email!

TUE Apr 14

*  4.1, 4.2)Local Maxima and Local Minima – Day 2 click here for lesson

*  Pg 246 #10, 12 ,       Pg 260# 6, 7,        Pg 578 # 10                                                         Assignment #1 Due by 10:00 am today

*  The Discriminant, Read Pg 69

*  CP P. 68 # 6, P. 70 #1 – 7  click here for answers for page 70

MON Apr 13

*    Easter Monday

*  Easter Monday

FRI Apr 10

*     Good Friday   

*     Good Friday   

THUR Apr 9

*  No Classes

*  No Classes

WED Apr 8

4.1), 4.2) Increasing and decreasing Functions and local Extrema - Day1 :                                   Pg. 169 # 1, 3, 5, 7, 8,                     Pg 178 # 5, 7-9    

Click here for lesson     

Check your email for Assignment #1

*  Solving Unfactorable Quadratic Equation Graphically and Algebraically, using completing the square or the quadratic formula.

CP P. 66- 67, Pg 68 # 1 -5( every other part)

TUE Apr 7

3.2 )Maximum and minimum on an interval : Pg. 135 # 1,2,(3,4) e.o.p, 5, 6, 8,  9, 11,12                                      

Pg. 256 #6  , click here for lesson     https://www.youtube.com/watch?v=gzmSKrwiG3g

 

*  Solving Unfactorable Quadratic Equation Graphically and Algebraically           CP P. 66- 68

*  Click here https://www.youtube.com/watch?v=55G8037gsKY

*  https://www.youtube.com/watch?v=JSwjmTFMDwg

MON Apr 6

*            Unit 3 Review( Exponential and Logarithmic Functions)

*  Pg 248 # 1- 5, 6a  –c

*  Ch 5 Review Pg 263 #1, 2, 4 – 8, 11, 13, 14    

*   Pg 263 #3, 9, 10, 15, 16, 17, 23          

*  Simplifying Radicals - CP P. 64

*  Click here for lesson: https://www.youtube.com/watch?v=OZDMB13XT4w

https://www.youtube.com/watch?v=6QJtWfIiyZo

https://www.youtube.com/watch?v=Q3cTJb3gwds

Click here for Page64 solutions

FRI Mar 13

*   Derivative of Tangent Function: Pg 260 #1 - 5, 8, 10, 11

*  Applications of Trig Fn. (Day 1) :Pg 257 # 7, 10,  Pg 260 # 7          

*  Handouts :Applications of trig Fn’s # 1 – 3, Exercises 5.7 # 1,2,11

*  Question 6a of Application to Trigs

*  Maximum / Minimum Problems

*  CP P. 63 #6- 12, 14

 THUR  Mar 12

*  Derivative of Sine and Cosine Functions: Pg 256 # 1 -5, 14

*  Maximum and Minimum

*  CP P. 62, 63 #1 - 5

WED Mar 11

*  Logarithmic Differentiation Pg 582 # 1-9, 12, 13 

*  Perfect Square Trinomials and Completing the Square

*  CP – P. 59 - 61

TUE Mar 10

*  Derivatives of the General Logarithmic Fn. Y = log x: Pg. 578# 1,2, 3a, 4acef, 5, 7, 9a

*  Parabolas in vertex form – Day3

*  CP P. 57- 58

*  Quiz#3 - Quadratics

Mon Mar 9

*  5.2)Derivatives of the General Exponential Fn. Y = bx: Pg. 240# 1 -6, 7ab, 8

*  Parabolas in vertex form – Day2

*  CP P. 51- 56

FRI Mar 6

*  Derivatives of the Natural Logarithmic Fn. Y = lnx: Pg 575 # 3, 4, 5ab, 6, 7a, 8, 9a, 10-13 

*  Parabolas in vertex form - Day1

*  CP P. 47- 50

THUR Mar 5

*  5.1)  Derivatives of exponential Fn. Y = ex: Pg 232 # 2 - 4, 5a,   6 – 9, 11,13 

 

*  Function Notation –Parabolas in vertex form

CP P. 45- 46

WED Mar 4

*   Related rates -Displacements: Pg 569 # 1c-e, 2, 8 – 11, 18, 21

*  Related Rates #2

Related Rates #2

*  Function Notation on Graphs

CP P. 43- 44

TUE Mar 3

*  Related rates -Measurements: Pg 569 # 1ab, 3 - 7, 12,13,   15- 17, 20

*  Start New Unit

 Domain  and Range – CP – Pg 39 - 40

Definition of a Function and The Vertical Line Test –