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

Sunday

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

3

4

5

Grade 12 Course Evaluation Form

6

- Administrivia

 

- Review of linear functions and transformations

 

Class Notes

 

Handout R5 - #1-4

 

Handout R8a - #1-3

 

7

Review of functions from Grade 11

 

 

 

 

Class Notes

 

Handout pg2 -  #1bd, 3, 4, 5, 6

8

Sec 1.1 Functions

-emphasis on domain and range

 

 

 

Class Notes

 

 

Handout p11

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

9

10

11

Sec 1.2 Absolute values

 

 

Give Out Textbooks

 

Class Notes

 

p16

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

12

Sec 1.3 Functions

  Write out definitions and draw parent function graphs

 

 

Quiz

 

 

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

 

13

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

 

14

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

 

 

 

Class Notes

 

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

15

Sec 1.6 Piecewise Functions

 

 

 

 

 

 

Class Notes

 

 

p51 #1acd, 2, 3, 6

 

16

17

18

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

19

Review

 

Do any/all that you need

 

p60-61  ALL P62 ALL (omit #4)

20

Chapter 1 Test

 

 

 

 

 

 

 

Prep for Ch 2

P66 #1, 2

21

Review for Ch 2

-factoring to find zeroes, max/min

 

 

 

 

Class Notes

 

p66 #1, 3, 5, 6

 

Task – Completing the Square

22

Sec 2.1 Determining ARC

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

 

Class Notes

 

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

 

Quiz  

 

23

24

25

Sec 2.2

 

 

In-class Investigation

 p79 Parts A-G - Note

 

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

 

Class Notes

 

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

 

26

Sec 2.3

Defn Sheet: Tangent

 

 

Class Notes

 

 

 

p92 #4,6

 

Midchapter review p95 #2,6,7

27

Sec 2.4 Graphical models

 

 

Class Notes

 

 

 

Read Ex 3 and 4

p103 #1,3,4,5,8

 

28

Pep Rally

29 – PA Day

 

30

Oct. 1

2

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)

 

3

Sec 2.5 Cont

 

 

 

Class Notes

 

 

 

p112 #5, 10, 11

 

 

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

 

4

In class Assignment

 

Assignment

 

Rest of Review p117 (#11-13)

5

 

Review

 

Chapter Test p118

 

More Practice

6

Review

7

8

9 Thanksgiving

10

Test Ch 2

11

Sec 3.1  Exploring Polynomial Functions

-linear, quadratic, cubic, quartic, quintic

 

Class Notes

 

 

P127 #1, 2, 3, 4, 7

 

12

Sec 3.2

 Investigating Characteristics of Polynomial functions using graphing calculators

 

Class Notes

 

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

13

Sec 3.3 Factored Forms of Polynomials

 

 

 

Class Notes

 

 

p146 #1, 2, 4, 7, 12

 

14

15

16

Long Division Review

 

 

Sec 3.4 Transformations  and intro to long division

 

 

Class Notes

 

p169 #5

 

17

Sec 3.5  Factoring polynomials by synthetic division

 

 

Class Notes

 

p169 #6abcd,10ace, 11, 12

 

Quiz

 

18

Quiz

 

Sec 3.6 The Factor Theorem

 

Class Notes

 

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

19

Sec 3.7 Factoring Sum or Difference of Cubes

 

 

 

Class Notes

 

p182 #2-5 ace

20

Review

Review In class assignment

 

 

p184-186 Selected questions

21

22

23

Sec 4.1 Solving polynomials equations

 

 

Class Notes

 

 

p204 #2abef, 9d, 10, 13

24

Test Chapter 3

25

Sec 4.2 Solving inequalities

 

 

Class Notes

 

 

p213 #1-7 LHC

26

Sec 4.3 Solving polynomial inequalities

 

Class Notes

 

 

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

 

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

P228 #12,13

27

Sec 4.4 Rates of change of polynomials

 

 

Class Notes

 

 

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

 

 

Word Problem Challenge

28

29

30

Consolidate

 

 

Quiz

 

 

31

In Class task

Nov 1

Chapter review

 

 

 

 

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

Nov 2

Chapter 4 Test

 

 

 

Chapter 5 Preview

 

Pg 246 #1-8

Nov 3

Sec 5.1 Graphs of Reciprocal Functions

 

 

 

 

 

Class Notes

 

 

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

4

5

6

Sec 5.2 Exploring Quotients of polynomial functions

 

Class Notes

 

 

p262 #1, 2acegij

7

QUIZ

 

Sec 5.3 Functions

 

Class Notes

 

P273 #1, 2, 4ac, 5ac

 

8

Sec 5.4 Solving Rational equations

             

Class Notes

 

 

Sec 5.5 Solving rational Inequalities

 

Class Notes

 

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

 

 

9

5.5 Con’t

 

Graphing Video

 

 

 

Mid chapter review –

p285 #2,5,6

 

 

 

 

10

 

In class Assignment

11

12

13

Sec 5.6 Rates of Change

 

 

 

 

Class Notes

3

14

Review

15

Review

16

Test

 

17

PA Day

18

19

20

Trigonometry Review

 

 

 

 

 

 

Class notes

 

HW p314 #1-6

21

Sec 6.1 – Radian Measure

 

Class Notes

 

 

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

22

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

23

Sec 6.3 Graphing primary trig ratios for homework

 

 

Class Notes

 

 

HW p343 #1 all

24

Sec 6.4 Practice translating primary trig

 

Homework p345 #8

25

26

27

Sec 6.5 Graph reciprocal trig ratios

 

Class Notes

 

 

p353 #7

 

Quiz1

28

Consolidation

 

Homework

P349 #1-9

 

Quiz2

29

Sec 6.6 Modelling with trig functions

 

Read Exs 1 and 2 on p354 carefully, noting the calculations for amplitude, period, equation of the axis.

 

Read the “Key Ideas” section on 360 for the formula summary.

 

Class Notes

 

P360 #1,5,6

30

Sec 6.6 Continued

 

 

Finish discussion of Word problems from Sec 6.6                

 

P360 #7,8,9,10,11

Dec. 1

In class assignment

2

3

4

Sec 6.7 Rates of change

 

 

 

 

Class Notes

 

 

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

 

5

Review

 

 

Class Notes

6

Test

7

Intro and Sec 7.1 Equivalent trig functions

 

 

Class Notes

 

p386 #7

p392 #3, 5, 7

8

Sec 7.2

Compound Angle Formulas

 

 

Class Notes

 

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

9

10

11

Sec 7.3 Double Angle formulas

 

Class Notes

 

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

 

Sec 7.4 Proving trig identities

 

Class Notes

 

p417 9-11

12

Sec 7.4 Proving trig identities

 

Carefully review Key Ideas on p416

13

 Con’t

 

 

 

Task- handout

14

Sec 7.5 Solving trig equations (linear)

 

 

Class Notes

 

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

 

 

15

Sec 7.6 Solving trig equations (quadratic)

 

 

Class Notes

 

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

16

17

18

Review

 

Pg 440-41

 

Task Due

19

Test

 

 

Ch8 Exponent review

p446 #1-8

20

Sec 8.1-8.2 The Log function

 

 

Class Notes

 

p451 #5,6,7,9

 

21

Sec 8.2 con’t Transformations of the Log function

 

 

p457 #1,3,4i,ii

 

22

Christmas Assembly

23

24

25

 

26

 

27

 

28

 

29

30

31

Jan. 1

Culminating Activity 5%

 

Calendar

2

3

4

5

6

7

8

Sec 8.3 Evaluation Logarithms

 

 

Class Notes

 

Pg 466 #1-6,15

 

Sec 8.4 – Laws of Logarithms

 

Class Notes

 

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

9

Sec 8.5 Solving Exponential Equations

 

Class Notes

 

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

10

Sec 8.6 Solving Logarithm Equations

 

Class Notes

 

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

11

Sec 8.7 Problem Solving

 

Class  Notes

 

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

 

 

 

 

Quiz

12

Consolidate

 

Task - Logs

13

14

15

Sec 9.2 & 9.3

 

Class Notes

 

Sec 9.4

 

Class Notes

 

16

Sec 9.5

 

Class Notes

17

Review

18

Test

19

Exam Review

20

21

22

Exam Review

23

Exam Review

24

Exam Review

25 – First Day of Exams

26

27

28

29

 

 

30

Advanced Functions Exam 25%

 

Review Due 5%

31

Feb, 1

2

3