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Advanced = Functions &=20 Modeling (AFM)

Advanced = Functions &=20 Modeling is a course that was developed = to bridge=20 the courses of Algebra 2 and Honors Pre-Calculus. The purpose of this = course is=20 to construct a solid foundation in the content area that will be needed = for=20 success in this course and in the Honors Pre-Calculus course. The = content of=20 this course integrates functions, statistics, and trigonometry and apply = the=20 algebra and geometry that students have studied in previous years. = Sequences,=20 counting problems and other topics from discrete mathematics are also = found, and=20 this course contains many topics of a traditional pre-calculus course. = The AFM=20 course is a classic example of how a single mathematics course can = involve all=20 of the major areas of mathematics.

As the content = described in=20 the preceding paragraph indicates, there is a wider scope in this AFM = course.=20 The topics are not isolated as separate units of study of enrichment. = They are=20 employed to motivate, justify, extend, and otherwise enhance important = concepts=20 of functions, statistics, and trigonometry. A real-world = orientation=20 guides the teaching method and allows the = student=20 to work out problems to connect to real life applications. The use of = up-to-date=20 technology is integrated throughout the course. The course organization = is=20 designed to maximize the acquisition of both skills and concepts. Ideas=20 introduced in a lesson are reinforced through review questions in = succeeding=20 lessons. This constant review allows students several nights to learn = and master=20 important concepts and skills.

Chapter = 1

Sets=20 & Set Notation

Chapter = 2

Statistics and Data=20 Analysis

Chapter = 3

Probability=20 (1)

Chapter = 4

Probability=20 (2)

Chapter = 5

Trigonometric=20 Functions

Chapter = 6

Unit=20 Circle Trigonometry

Chapter = 7

Trigonometric = Graphing &=20 Identities

Chapter = 8

Sequences &=20 Series

Chapter = 9

Exponential = Functions &=20 Logarithmic Functions

Chapter = 10

Extras ; Vectors, = Matrices,=20 Transformations, Curves of Best Fit, = etc.

90 - Day=20 Plan

&= nbsp; =20 Day

&= nbsp; =20 Section

&= nbsp; &n= bsp; &nb= sp; &nbs= p; =20 Description

&= nbsp; =20 1

&= nbsp; =20 1.1

Introduction =20 : Summation Notation

&= nbsp; =20 2

&= nbsp; =20 1.2

&= nbsp; =20 1.3

Factorials

Sets

&= nbsp; =20 3

&= nbsp; 1.4

&n= bsp; =20 1.5

Number = Systems =20

Functions;=20 Composition of Functions; Inverse Functions Distance, Midpoint, = Slope,=20 Standard Linear Equations =20

&= nbsp; =20 4

&= nbsp; =20 1.6

Quiz ; Review Sheet Chapter = 1

&= nbsp; =20 5

&= nbsp; =20

Review (=20 Chapter 1)

&= nbsp; =20 6

Test (Chapter=20 1)

&= nbsp; =20 7

&= nbsp; =20 2.1

Data = Types; Bar=20 Graphs, Histograms, Freq. Tables, Circle = Graphs

&= nbsp; =20 8

&= nbsp; =20 2.2

Measures of=20 Central Tendencies

&= nbsp; =20 9

&= nbsp; =20 = 2.3 &nbs= p; =20

Boxplots & = 5-Number=20 Summaries

&= nbsp; =20 10

&= nbsp; 2.4

Measures of=20 Variability

&= nbsp; =20 11

&= nbsp; 2.5

The = Normal=20 Distribution

&= nbsp; =20 12

&= nbsp; =20

Review #1 ;=20 Review # 2 ; Quiz (2.1-2.5)

&= nbsp; =20 13

Review (=20 Chapter 2)

&= nbsp; =20 14

&= nbsp;=20

Test( = Chapter=20 2)

&= nbsp; =20 15

&= nbsp; =20 3.1

Permutations

&= nbsp; =20 16

&= nbsp; =20 3.2

Permutations

&= nbsp; =20 17

&= nbsp; =20 3.3

Combinations =20 ; Quiz ( 3.1-3.3)

&= nbsp; =20 18

&= nbsp; =20

Review=20 (Chapter 3)

&= nbsp; =20 19

Test (Chapter=20 3)

&= nbsp; =20 20

&= nbsp; =20 =20 4.0

Introduction=20 to Probability

&= nbsp; =20 21

&= nbsp; =20 = 4.1 &nbs= p; =20

Probability

&= nbsp; =20 22

&= nbsp; =20 4.2

Independent=20 and Dependent Events

&= nbsp; =20 23

&= nbsp; =20 4.3

Exclusive and=20 Inclusive Events ; Quiz (ch.=20 4)

&= nbsp; =20 24

&= nbsp; =20

Review=20 (Chapter 4)

&= nbsp; =20 25

&= nbsp; =20

Test (Chapter=20 4)

&= nbsp; =20 26

Review for=20 Exam ; Intro. to Review=20 Booklet

&= nbsp; =20 27

Review for=20 Exam (Chapters 1-4)

&= nbsp; =20 28

EXAM =20 (Chapters 1-4)

&= nbsp; =20 29

&= nbsp; =20 5.0

Introduction=20 to Trigonometry

&= nbsp;=20 30

&= nbsp; =20 5.1

The = Pythagorean Theorem

&= nbsp;=20 31

&= nbsp; =20 5.2

Special Right=20 Triangles

&= nbsp;=20 32

&= nbsp; 5.3

Right=20 Triangle Trigonometry

&= nbsp;=20 33

&= nbsp; 5.4

Finding=20 Angles of Right Triangles

&= nbsp;=20 34

&= nbsp; 5.5

Angles of=20 Elevation & Depression

&= nbsp;=20 35

&= nbsp; =20

Review=20 (5.0-5.5) ; Quiz ( 5.0-5.5)

&= nbsp;=20 36

&= nbsp; =20 =20 5.6

The = Law of=20 Sines

&= nbsp;=20 37

&= nbsp; =20 =20 5.7

The = Law of=20 Cosines

&= nbsp;=20 38

&= nbsp; =20 5.8

Areas of=20 Triangles ( Trig. = Approach)

&= nbsp;=20 39

&= nbsp;

Quiz=20 (5.5-5.8) ; Review (Chapter 5)

&= nbsp;=20 40

&= nbsp; =20

Review=20 (Chapter 5)

=20 =20 41

&= nbsp; =20

Test (Chapter=20 5)

&= nbsp;=20 42

&= nbsp; =20 6.1

Introduction=20 to the Unit Circle

&= nbsp;=20 43

&= nbsp; =20 6.2

Radians on=20 the Unit Circle ; UC Quiz #1

&= nbsp;=20 44

&= nbsp; =20 6.3

Arc = Length=20 & Area of a Sector ; UC Quiz #2

&= nbsp; =20 45

&= nbsp; =20 6.4

Converting = Degrees=20 to Radians & Radians to Degrees ; UC Quiz = #3

&= nbsp; =20 46

&= nbsp; =20 6.5

Summarizing Six=20 Trigonometric Functions ; UC Quiz #4

&= nbsp; =20 47

&= nbsp; =20

Mini-Review=20 (6.1-6.5) ; Quiz (6.1-6.5)

&= nbsp; =20 48

&= nbsp; =20 6.6

Special=20 Angles

&= nbsp; =20 49

&= nbsp; =20

Review=20 (Chapter 6)

&= nbsp; =20 50

Test=20 (Chapter6)

&= nbsp; =20 51

&= nbsp; =20 7.1

Trigonometric=20 Graphs

&= nbsp; =20 52

&= nbsp; =20 7.2

Amplitude,=20 Period, Phase Shifts

&= nbsp; =20 53

&= nbsp; =20 7.3

Graphing=20 Practice

&= nbsp; =20 54

&= nbsp; =20 7.4

Basic=20 Trigonometric Identities

&= nbsp; =20 55

&= nbsp; =20 7.5

Verifying=20 Trigonometric Identities

&= nbsp; =20 56

Review=20 (Chapter 7)

&= nbsp; =20 57

Test (Chapter=20 7)

= 58

Exam Review=20 (Ch. 5-7)

=20 59

EXAM=20 (Chapters 5-7)

= 60

&= nbsp; =20 8.1

Arithmetic=20 Sequences

&= nbsp; =20 61

&= nbsp; =20 8.2

Geometric=20 Sequences

&= nbsp; =20 62

&= nbsp; =20 8.3

Infinite=20 Sequences

= 63

&= nbsp; =20 8.4

Sum = of=20 Infinite Series

&= nbsp; =20 64

&= nbsp; =20 8.5

Sigma=20 Notation & the nth Term

&= nbsp; =20 65

&= nbsp; =20 8.6

Binomial=20 Theorem ; Pascal's Triangle

&= nbsp; =20 66

Mini-Review =20 ; Quiz (8.1-8.6)

&= nbsp; =20 67

Review=20 (Chapter 8)

&= nbsp; =20 68

&= nbsp; =20

Test (Chapter=20 8)

&= nbsp; =20 69

&= nbsp; =20 9.1

Rational=20 Exponents

&= nbsp; =20 70

&= nbsp; =20 9.2

Exponential=20 Functions

&= nbsp; =20 71

&= nbsp; =20 9.3

Logarithmic=20 Functions

&= nbsp; =20 72

&= nbsp; =20 9.4

Common=20 Logarithms ; Quiz (9.1-9.3)

&= nbsp; =20 = 73 = ; =20

&= nbsp; =20 9.5

Exponential=20 Equations

&= nbsp; =20 74

&= nbsp; =20 9.6

Growth &=20 Decay Formulas

&= nbsp; =20 75

&= nbsp;

Review=20 (chapter 9)

&= nbsp; =20 76

&= nbsp; =20

Test (Chapter=20 9)

&= nbsp; =20 77

&= nbsp;

Work on=20 Review Booklet

&= nbsp; =20 78

&= nbsp; =20

EMPT=20 Review

&= nbsp; =20 79

EMPT=20 Test

&= nbsp; =20 80

&= nbsp; =20 Extra #1

Vectors

= 81

&= nbsp; Extra=20 #2

Matrices

&= nbsp; =20 82

&= nbsp; =20 Extra #3

Transformations=20 of Basic Graphs

&= nbsp; =20 83

Transformations=20 of Basic Graphs ( continued)

&= nbsp; =20 84

&= nbsp; Extra=20 #4

Graphical=20 Interpretation of Polynomials (roots, bounds, = etc)

&= nbsp; =20 85

&= nbsp; Extra=20 #5

Graphical=20 Interpretation of Rational Functions (roots, VA, HA, = etc)

&= nbsp; =20 86

&= nbsp; =20

Graphical=20 Interpretation of Rational Functions = (continued)

&= nbsp; =20 87

Quiz( extra=20 topics 1-5)

&= nbsp; =20 88

&= nbsp; =20 89

Final=20 Exam

&= nbsp; =20 90