MHF 4U1 -- Grade 12 Advanced Functions
NAME:_________________________
DAILY HOMEWORK SCHEDULE
Unit 1: CHARACTERISTICS AND PROPERTIES OF FUNCTIONS
LESSON TITLE
SECTION
HOMEWORK
DAY
Prerequisite Skills part 1
Handout
Prerequisite Skills part 2
Handout
1
Characteristics and Properties of Functions
1.1
pg 11 # 1 – 10
2
Prerequisite Skills Quiz
Exploring the Absolute Value Function
1.2
pg 16 # 1 – 8
Properties of Graphs of Functions
1.3
pg 23 # 1 – 5, 7 – 12 [omit 5f and inc/dec
intervals for y = sinx]
4
Mid–Chapter Review
Sketching Graphs of Functions
1.4
pg 28 # 1 – 9
pg 35 # 1, 2a, 3 – 11, 13, 15
5
Quiz #1: L1 – L3
Inverse Relations
1.5
pg 43 # 1 – 6, 9 - 14, 16, 18 (omit 13d)
6
Piecewise Functions
1.6
pg 51 # 1 – 9, 12, 14, 16
7
8
Review
UNIT 1 TEST
3
Unit 2: UNDERSTANDING RATES OF CHANGE
LESSON TITLE
SECTION
HOMEWORK
DAY
1
2
pg 60 # 1 – 17; pg 188 # 1 - 10
5
6
Determining Average Rates of Change
Estimating Instantaneous Rates of Change
from Tables of Values and Equations
Exploring Instantaneous Rates of Change
Using Graphs
Mid-Chapter Review
Quiz #2: L1 – L3
Using Rates of Change to Create a Graphical
Model
Solving Problems Involving Rates of Change
Review
7
UNIT 2 TEST
3
4
DAY
1
2
3
4
5
6
7
8
DAY
1
2
3
4
5
6
LESSON TITLE
2.1
2.2
pg 76 # 1alt, 2 – 5, 7 - 11
pg 85 # 1 – 10
2.3
pg 91 # 1c ,3 [omit trig functions], 4d, 6
2.4
pg 95 # 1 – 4, 6 – 8, 9a (w/o g.calc)
pg 103 # 1 – 5, 7, 10
2.5
pg 111 # 3, 4, 5ab, 6abcef, 7, 9, 10
pg 116 # 1 – 6, 7a (w/o g.calc), 8, 9, 11abcf, 12,
13; pg 188 # 11 – 19, 31
Unit 3: POLYNOMIAL FUNCTIONS
SECTION
Exploring Polynomial Functions
Characteristics of Polynomial Functions
Dividing Polynomials
Mid-Chapter Review
Characteristics of Polynomial Functions in
Factored Form
Quiz #3: L1 – L3
Factoring Polynomials
Factoring a Sum or Difference of Cubes
Quiz #4: L4 - L5
Review
UNIT 3 TEST
HOMEWORK
3.1
3.2
3.5
3.3
pg
pg
pg
pg
pg
127 # 1 – 5, 7, 8
136 # 1 – 13
168 # 1, 2, (5 – 10)alt, 11 – 13, 15ab, 17
161 # 1 – 7
146 # 1 – 8, 9ab, 10, 12 – 14
3.6
pg 176 # 1 – 10, 12 -14 (omit 8ef)
3.7
pg 182 # 2 – 5, 7
pg 184 # 1 – 3, 4a, 5a, 6, 7, (10 – 12)alt, 13 - 18;
pg 188 # 20 - 30
Unit 4: POLYNOMIAL EQUATIONS AND INEQUALITIES
LESSON TITLE
SECTION
HOMEWORK
Solving Polynomial Equations
Solving Linear Inequalities
Mid-Chapter Review
Solving Polynomial Inequalities
Rates of Change in Polynomial Functions
Quiz #5: L1 – L3
Review
UNIT 4 TEST
4.1
4.2
4.3
4.4
pg
pg
pg
pg
pg
pg
204 # 1 – 5, 6ace, 7ace, 9ac, 10, 13abc, 15, 16
213 # 2, 3, (4 – 7) def, 8, 9, 11 -13, 17
218 # 1 - 8
225 # 1 – 3, 5 – 8, 10, 13 – 15, 18
235 # 1 – 6, 8 - 10, 14
240 # 1 – 4, 6 – 11, 14 – 17; pg 380 # 1 - 8
DAY
Unit 5: RATIONAL FUNCTIONS, EQUATIONS, AND INEQUALITIES
LESSON TITLE
SECTION
HOMEWORK
1
2
Graphs of Reciprocal Functions
Graphs of Rational Functions
5.1
5.3
3
4
Solving Rational Equations
Mid-Chapter Review
Solving Rational Inequalities
Quiz #6: L1 – L3
Rates of Change in Rational Functions
Review
UNIT 5 TEST
5.4
5.5
5
6
7
LESSON TITLE
1
2
Radian Measure
Radian Measure and Angles on the Cartesian
Plane part 1
Radian Measure and Angles on the Cartesian
Plane part 2
Exploring Graphs of the Primary Trig
Functions
Transformations of Trig Functions
Mid-Chapter Review
Exploring Graphs of the Reciprocal Trig
Functions
Quiz #7: L1 – L3
Modelling with Trig Functions
Rates of Change in Trig Functions
Review
UNIT 6 TEST
4
5
6
7
8
9
10
DAY
1
2
3
4
5
6
7
8
DAY
pg 320 # 1 – 12
pg 330 # 2, 7, 9, 10, 12, 13
6.2 II
pg 330 # 1, 3 – 6, 8, 14 – 16, 21
6.3
pg 336 #1, 3, 5
6.4
6.5
pg 343 #1, 3 – 8, 12 - 15
pg 349 # 1 - 9
pg 353 #1 - 3, 5 – 6
6.6
pg 345 #9-11; pg 360 # 1 - 8
6.7
pg 369 # 1 – 8, 10, 12, 13
pg 376 # 1 – 19; pg 380 # 20 - 29
Unit 7: TRIGONOMETRIC IDENTITIES AND EQUATIONS
LESSON TITLE
SECTION
HOMEWORK
Exploring Equivalent Trig Functions
Compound Angle Formulas
Double Angle Formulas
Mid-Chapter Review
Proving Trigonometric Identities
Quiz #8: L1 – L3
Solving Linear Trigonometric Equations
Solving Quadratic Trigonometric Equations
Review
UNIT 7 TEST
7.1
7.2
7.3
7.4
7.5
7.6
pg 392 #1, 3, 4a, 5, 7
pg 400 #1 – 6, 8 - 13
pg 407 #1 – 7, 9 – 14, 15
pg 411 # 1 – 6, 8 - 12
pg417 #1, 5, 8 – 11
pg 426 #1 – 14
pg 435 #1, 3, (4 – 7)alt, 8 – 10 ; omit 8d
pg 440 # 1 – 6, 8 – 13; pg 580 # 1 - 10
Unit 8: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
LESSON TITLE
SECTION
HOMEWORK
8.1
8.2
8.3
8.4
8.5
6
Quiz #9: L1 – L4
Solving Logarithmic Equations
Solving Problems with Exponential and
Logarithmic Functions
Rates of change in Exponential and
Logarithmic Functions
Review
UNIT 8 TEST
8.6
Composition of Functions
9.5
9
8
HOMEWORK
6.1
6.2 I
Exploring the Logarithmic Function
Transformations of Logarithmic Functions
Evaluating Logarithms
Laws of Logarithms
Mid-Chapter Review
Solving Exponential Equations
8
# 1, 2ace,3,5aceg, 6 – 11, 15, 16
# 2, 3
#1 – 6, 10, 14
#1, 3, 5 – 7 (w/o gc), 9 – 11, 12a
# 1, 2, 4 - 9
#1 – 5, 7, 8ab, 9, 11
# 1, 2, 4, 6 – 9, 10ab, 12
pg 308 # 1 – 12, 13ab; pg 380 # 9 - 19
1
2
3
4
5
7
254
262
272
285
277
295
303
Unit 6: TRIGONOMETRIC FUNCTIONS
SECTION
DAY
3
5.6
pg
pg
pg
pg
pg
pg
pg
8.7
pg 451 #1 - 11
pg 458 #1 - 9
pg 466 #1-6, 9-11, 12a, 13-14, 16, 18, 20,21
pg 475 #1 – 8, (9 – 11)alt, 12, 13, 15 - 17
pg 479 # 1 – 8, 10 – 13
pg 485 #1-8, 10, 12, 14, 16 - 18
(do #12b, 17e from DAY 3)
pg 490 # 1 – 7, 9, 10, 12, 16, 18 - 20
pg 479 # 9
pg 499 # 1 – 8, 10, 14, 15
8.8
pg 507 # 5, 6, 8, 9, 11bc
pg 510 # 1 – 20, 23abd; pg 581 # 12 - 22
Any remaining periods will be used to review for the final exam.
pg 552 # 1 – 4, 5ace, 6ace, 7
WRONG ANSWERS:
section
1.1
page #
pg 12
question #
7abc
correct answer
points on graph should be
connected
domain: t  R 0  t  240
range:


h  R 0  h  10
1.2
1.2
pg 16
pg 16
4c
8
no solution
left 3 units
down 4 units
x > 500 (not equal to)
-14 m/s
953 people/year
1.6
2.2
Mid-Chapter Review
(chapter 2)
2.5
3.5
pg 52
pg 87
pg 95
6
9b
2b
pg 112
pg 170
7
15a
4.3
Pg 226
6e
4.4
4.4
chapter 4 review
pg 235
pg 235
pg 240
2d
2e
7b
(1,1) ; IRC≈ -6
5.5
5.5
5.6
pg 296
pg 296
pg 304
5d
7b
6a
see below*
2.8125 seconds
f ( x)  ( x  4)( x 2  x  6)  7
3
x
2
0  x  2 ; ARC ≈-6
23 

  ,  
8

t  2,0  t  3
mtan  0.306
VA: x  1.5
5.6
pg 304
6b
mtan  2.75
5.6
pg 304
6c
mtan  46.04
5.6
pg 304
6d
mtan  1.25
5.6
pg 304
7a
0.0026kg / m 3 / min
5.6
pg 304
7b
chapter 5 review
pg 308
3a
chapter 5 review
pg 308
3c
chapter 5 review
6.1
6.1
6.1
6.1
6.2
pg 308
pg 321
pg 321
pg 321
pg 321
pg 330
10a
8b
8d
8f
8h
3
0.00017kg / m 3 / min
add HA y  0
add HA y  0
 3  x  2.8, x  4.8
6.4
pg 344
5b
-300º
-135º
-270º
-810º
only state sin, cos and tan
ratios (not csc, sec, cot)
y  6 sin 0.5x  2 ;
period = 4
equation of axis: y  2
6.6
6.7
pg 361
pg 373
8
13c
incorrect graph - see below*
IRC≈  0.22rad / s
chapter 6 review
pg 376
6a
chapter 6 review
pg 377
19d
cumulative review
cumulative review
7.3
pg 382
pg 382
pg 407
26
28
3b
Mid-Chapter Review
pg 411
1a
Mid-Chapter Review
pg 411
1b
Mid-Chapter Review
pg 411
1c
Mid-Chapter Review
pg 411
1d
Mid-Chapter Review
pg 411
1e
Mid-Chapter Review
pg 411
1f
7.6
pg 436
3a
7.6
8.2
pg 436
Pg 458
8c
4 vi)
8.3
8.3
8.5
8.8
8.8
chapter 8 review
chapter 8 review
pg 467
pg 468
pg 485
pg 507
pg 508
pg 510
pg 510
14a
20b
6a
6b
11bc
8d
23d
#7b pg 296
12
5
IRC≈  145mmHg / s
tan   
b or d
a only
 3x 
cos 3 x  1  2 sin 2  
 2 
 7 
sin 

 16 
 2 
 5 
sin 
 or cos 
 9 
 18 
 
 2 
 tan   or  cot 

 10 
 5 
 
 sin  
 10 
 2 
 3 
sin 
 or cos 
 7 
 14 
 
 
 tan   or  cot  
4
4
1
1
y   or y 
3
2
add x   to solutions in back
Reflection in y-axis and
horizontal shift left 2 units
223mph
-27
9.01 years
-2.72 g/h
units should be miles/hour/mile
3
use answer 23c (the equation) in
back of text to do 23d
#8 pg 361
4
-1
½
2
Height Above Floor (m)
3.5
-6
3
2.5
2
1.5
1
0.5
-0.5
-1
5
8
5
4
15
8
5
2
PRESENTATION QUESTIONS
CHAPTER 1
pg 60 # 6b, 7b, 9b, 12b, 16, 17
[2, 6c, 12a, 15]
CHAPTER 2
pg 116 # 3, 4, 7a, 8, 11c, 12
[2, 11f, 12ii a& b]
CHAPTER 3
pg 184 # 7, 10c, 14d, 17b
[1, 10b, 15d, 17d]
CHAPTER 4
easy 6d, 10c, 7b, 15
hard 2, 4, 14c, 16
[4, 8d, 10d, 16]
CHAPTER 5
pg 308 # 5d, 8, 10c, 13ab
[11]
CHAPTER 6
pg 376 # 10, 12, 16, 19
[6]
CHAPTER 7
pg 440 # 2, 3c, 6c, 9, 10b, 12d
[1d]
CHAPTER 8
pg 510 # 2d, 8abcd, 11c, 13, 14d, 23a [2a, 15a, 19]
EXAM REVIEW