Welcome to Mr. Childs Grade 12 Advanced Functions - Calendar of Events

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

1

2

 

Grade 12 Course Evaluation Form

 

Graphing Calculator

3

 

PA Day

4

 

- Administrivia –

 

- Review of linear functions and transformations

 

Class Notes

 

Handout R5 - #1-4

 

Handout R8a - #1-3

 

5

 

Review of functions from Grade 11

 

 

Give Out Textbooks

 

Class Notes

 

Handout pg2 -  #1bd, 3, 4, 5, 6

6

 

Sec 1.1 Functions

-emphasis on domain and range

 

 

 

Class Notes

 

 

Handout p11

Handout p12 #1,2,4,6,7

7

8

9

Sec 1.2 Absolute values

 

 

 

Class Notes

 

p16

#2, 3ab, 4ab, 5ab, 6, 8(ignore the reference to #7), 10

10

Sec 1.3 Functions

  Write out definitions and draw parent function graphs

 

 

Class Notes

 

p21 Read Ex 3

p22 Read Ex 4

p23 #4, 5 (note: change -f(-x) to

-f(x)),     6bc, 7, 9

 

Parent Functions Chart

 

11

Sec 1.4 Sketching parent graphs and transformations

 

-emphasis on domain/range, increase/decrease, and end behaviours

 

Class Notes

 

 

Read Ex 4 p34

Note: “In Summary” box

p35 #1ace, 5ace, 6, 9ace

 

12

Sec 1.5 Inverse Functions (nothing new except emphasis on domain/range and end behaviours)

 

 

 

Class Notes

 

p43 #1ace, 2a, 3, 6abd, 10

 

 

 

Quiz

 

13

More Transformation practice using DESMOS

 

 

In Class Task

 

14

15

16

Sec 1.6 Piecewise Functions

 

 

 

 

 

 

Class Notes

 

 

p51 #1acd, 2, 3, 6

 

17

Sec 1.7 Combinations of Functions

f(x) + g(x),

f(x)-g(x),

f(x)×g(x)

 

Quiz

 

 

Class Notes

 

p57 #5, 7, 8

18

Review

 

Do any/all that you need

 

p60-61  ALL P62 ALL (omit #4)

 

 

19

Chapter 1 Test

 

 

 

Ch8 Exponent review

p446 #1-8

 

 

20

 

Sec 8.1-8.2 The Log function

 

 

Class Notes

 

p451 #5,6,7,9

 

21

22

23

Sec 8.2 con’t Transformations of the Log function

 

p457 #1,3,4i,ii

 

Sec 8.3 Evaluation Logarithms

 

Class Notes

 

Pg 466 #1-6,15

 

24

Sec 8.4 – Laws of Logarithms

 

Class Notes

 

Pg 475 #1-3, 4,6,9,10

 

 

25

Sec 8.5 Solving Exponential Equations

 

Class Notes

 

Pg 485 #1-3,5,6,7,8,10

 

 

26

Sec 8.6 Solving Logarithm Equations

 

Class Notes

 

Pg 491 #1,2,4,5,7

 

 

27

 

PA DAY

28

29

30

Catch up day

 

Quiz – Evaluate Logs

 

Task - Logs

 

Oct 1

Sec 8.7 Problem Solving

 

Class  Notes

 

Pg 499 #1,2,4,6,8,13

 

2

Consolidate

 

 

3

Review

Task Due

 

Prep for Ch 2

P66 #1, 2

4

Complete the Square

 

 

Class Notes

 

Task – Completing the Square

 

5

6

7

Review for Ch 2

-factoring to find zeroes, max/min

 

 

Class Notes

 

p66 #1, 3, 5, 6

 

8

Test - Logarithms

 

9

Sec 2.1 Determining ARC

Start Defn sheet –Average rate of change, secant, magnitude

 

Class Notes

 

p76 #1ace, 4, 7, 9, 12

 

10

Sec 2.2

 

Defn Sheet: Instantaneous rate of change, preceding interval, Following interval, Central interval, Differential Quotient

 

Class Notes

 

p85 #1, 2,4ac, 5, 6, 9

 

 

 

11

Sec 2.3

Defn Sheet: Tangent

 

Class Notes

 

p92 #4,6

 

Quiz

12

 

13

14

 

Thanksgiving

15

Sec 2.4 Graphical models

 

Class Notes

 

Read Ex 3 and 4

p103 #1,3,4,5,8

 

 

Sec 2.5 Solving problems involving RC

 

Class Notes

 

Read Ex 1 and Ex 3

p111 # 1, 2, 3, 4, 7 (use complete the square)

 

16

Sec 2.5 Cont

 

 

Class Notes

 

 

 

p112 #5, 10, 11

 

Start Review p116-117 (#1-6,8-10)

 

Quiz

 

17

In class Assignment

 

Assignment

 

Rest of Review p117 (#11-13)

 

18

Review

 

Chapter Test p118

 

More Practice

 

19

20

21

Review

22

Test Ch 2

 

23

Sec 3.1  Exploring Polynomial Functions

-linear, quadratic, cubic, quartic, quintic

 

Class Notes

 

 

P127 #1, 2, 3, 4, 7

 

24

Sec 3.2

Investigating Characteristics of Polynomial functions using graphing calculators

 

Class Notes

 

P136 #1, 3, 4ace, 5, 8, 10

 

25

Sec 3.3 Factored Forms of Polynomials

 

 

 

 

 

Class Notes

 

 

p146 #1, 2, 4, 7, 12

 

 

26

27

28

Long Division Review

 

Sec 3.4 Transformations  and intro to long division

 

 

Class Notes

 

p169 #5

 

29

Sec 3.5  Factoring polynomials by synthetic division

 

 

Class Notes

 

p169 #6abcd,10ace, 11, 12

 

Quiz

 

30

Sec 3.6 The Factor Theorem

 

Class Notes

 

p177 #4ace, 5ab, 6ace, 7ace

 

31

In class assignment

 

Nov. 1

Sec 3.7 Factoring Sum or Difference of Cubes

 

 

Class Notes

 

p182 #2-5 ace

 

2

3

4

Review

 

 

p184-186 Selected questions

 

5

Test Chapter 3

 

6

Sec 4.1 Solving polynomials equations

 

 

Class Notes

 

 

p204 #2abef, 9d, 10, 13

 

7

Sec 4.2 Solving inequalities

 

 

Class Notes

 

 

p213 #1-7 LHC

 

Video Lesson

 

 

 

Quiz

 

8

Sec 4.3 Solving polynomial inequalities

 

Class Notes

 

 

p225 #1, 2ac, 5ac, 6ace, 7ace

 

Video Lesson

 

P218 #1ace,3,4ac,5,7,8

P228 #12,13

 

9

10

11

Sec 4.4 Rates of change of polynomials

 

 

Class Notes

 

 

p235 #1,2,5,6ace, 8

 

 

Video Lesson

 

 

Remembrance Day

12

Word Problem Challenge

 

Class Notes

 

Task – Word Problems

13

In Class task

 

14

Chapter review

 

 

p240-242 as needed. (Omit #12,18 on p241

 

 

Chapter 5 Preview

 

Pg 246 #1-8

 

15

 

PA Day

 

 

 

16

17

18

Sec 5.1 Graphs of Reciprocal Functions

 

Class Notes

 

P254 #1, 2ace, 3, 5 (in class or on computer), 7a, 8a, 9c

 

19

 Chapter 4 Test

 

20

Sec 5.2 Exploring Quotients of polynomial functions

 

Class Notes

 

p262 #1, 2acegij

 

QUIZ

21

Sec 5.3 Functions

 

 

 

Class Notes

 

P273 #1, 2, 4ac, 5ac

 

22

Con’t

 

In class Assignment

 

Graphing Video

 

 

Mid chapter review –

p285 #2,5,6

23

24

25

Sec 5.4 Solving Rational equations

 

Class Notes

 

P285, #2,5,6

 

26

Sec 5.5 Solving rational Inequalities

 

Class Notes

 

p296 #1, 4(note answer to a) is -5<x<-4.5), 5ace,9

 

27

Sec 5.6 Rates of Change

 

Class Notes

 

 

Video Lesson

 

28

Review

 

29

Test

 

30

Dec. 1

 

 

2

Trigonometry Review

 

 

 

Class notes

 

HW p314 #1-6

3

Sec 6.1 – Radian Measure

 

Class Notes

 

 

p321 #3, 4, 6, 7aceg, 8aceg, 11

4

Sec 6.2 Radian Measures and Angles on the Cartesian

 

Note: Special triangles in radian measures

 

 

Class Notes

 

 

Read “In Summary” p329

 

p330 #2ac, 5, 6, 7ace, 9, 13

 

Graph Paper pdf

5

Sec 6.3 Graphing primary trig ratios for homework

 

Sec 6.4 Practice translating primary trig

 

Class Notes

 

 

HW p343 #1 all

Homework p345 #8

 

6

Sec 6.5 Graph reciprocal trig ratios

 

Class Notes

 

 

p353 #7

 

Video Lesson

 

 

Quiz1

7

8

9

Sec 6.6 Modelling with trig functions

 

 

Class Notes

 

P360 #1,5,6

 

10

Sec 6.6 Continued

 

 

Finish discussion of Word problems from Sec 6.6                  

 

P360 #7,8,9,10,11

 

 

Quiz2

11

Sec 6.7 Rates of change

 

 

 

 

Class Notes

 

 

p369 #1,3,4ac,6,8,12

 

12

In class assignment

 

 

Consolidation

 

Homework

P349 #1-9

 

 

13

Review

14

15

 

16

Review

 

 

Class Notes

 

17

Test – Trig Pt1

18

Intro and Sec 7.1 Equivalent trig functions

 

 

Class Notes

 

p386 #7

p392 #3, 5, 7

19

Sec 7.2

Compound Angle Formulas

 

 

Class Notes

 

p400 #1, 2, 3cd, 4cd, 5abc, 6abf, 9ace

20

Sec 7.3 Double Angle formulas

 

 

 

Class Notes

 

p407 #1-3 LHC, 4, 6, 8,11a

 

21

 

 

 

Culminating Activity 5%

 

Calendar

22

23

24

25

26

27

28

29

30

31

Jan. 1

2

3

4

 

5

6

 

Sec 7.4 Proving trig identities

 

 

 

Class Notes

 

p417 9-11

 

 Task- handout – 4 identities

7

 

Sec 7.4 Proving trig identities

 

Carefully review Key Ideas on p416

 

 

 

Quiz-Angle Formulas

 

 

 

8

 

Sec 7.5 Solving trig equations (linear)

 

 

Class Notes

 

p426 #6ace, 8, 9ace, 10ace

 

Task Due

 

9

 

Sec 7.6 Solving trig equations (quadratic)

 

 

Class Notes

 

p435 #1ace,4ae, 5ace, 6ace, 7ace, 8ace

 

Quiz - Identities

10

 

Con’t

 

 

 

Quiz – Trig equations

 

11

12

13

Trig Review Task

 

Sec 9.2 & 9.3

 

Class Notes

 

Sec 9.4

 

Class Notes

 

 

14

Sec 9.5

 

Class Notes

 

 

Review

 

Pg 440-41

 

15

Review

 

Review Task Due

16

Exam Review

 

17

Test Trig Pt2

 

(no chapter 9)

 

18

19

20

 

Exam Review

21

 

Exam Review

22

 

Exam Review

23  First day of Exams

 

Pd 1

 

 

24

 

Pd 2

 

Advanced Functions Exam 25%

 

Review Due 5%

25

26

27

 

28

 

29

30

31