Algebra II
Syllabus 20232024
Carmen Reyna
Tutoring: Monday & Wednesday 4:15 pm – 5:15 pm
Course Description:
This course is designed to teach students to be successful mathematical problem solvers. Topics covered will be the properties and attributes of functions (linear, quadratic, square root, rational, exponential, and logarithmic) and the multiple representations of all functions mentioned above.
Course Objective:
Students will interpret restrictions on the domain and range of functions and their inverse. Students will evaluate the effectiveness of the various methods used to solve equations, inequalities, and systems of equations and/or inequalities. Students will generate multiple representations of a function and use them to determine attributes of a function. Students will also describe and use the relationship between algebraic and geometric representation of a quadratic function of relation, including conic sections.
Grading Policy
60% Major Assignments (Tests & Projects)
40% Minor Assignments (Daily Classwork, Homework & Quizzes)
**see district grading policy for specifications**
Required Materials:
Expectations:

Be on time and be prepared.

Bring all materials to class.

Sharpen pencils before the tardy bell rings or after the teacher is done with the lessons.

Be prepared and ready to work as soon as the bell rings.

Sit quietly and be attentive while the teacher is addressing the class.

Stay in your seat during class time and raise your hand to be recognized.

Turn in homework on time (no late work will be accepted).

Ask for any missed work due to an excused absence.

Follow all school rules at all times.

Stay on task until the bell rings.

Take notes every day and keep a neat and wellorganized binder.

There will be no food or drinks allowed in class.
Course Topics:
Chapter 1  Functions

11 Relations and Functions

12 Attributes of Functions

13 Function Operations and Composition

14 Inverse Functions
Chapter 2 – Absolute Value Equations and Functions

21 Absolute Value Equations

22 Solving Absolute Value Inequalities

23 Attributes of Absolute Value Functions

24 Transformations of Absolute Value Functions

25 Graphing Absolute Value Inequalities
Chapter 3 – Systems of Linear Equations

31 Solving Systems Using Tables and Graphs

32 Solving Systems Algebraically

33 Systems of Inequalities

34 Linear Programming

35 Systems in Three Variables

36 Solving Systems Using Matrices
Chapter 4 – Matrices

41 Adding and Subtracting Matrices

42 Matrix Multiplication

43 Determinants and Inverses

44 Systems and Matrices
Chapter 5 – Quadratic Functions and Equations

51 Attributes and Transformations of Quadratic Functions

52 Standard Form of a Quadratic Function

53 Modeling with Quadratic Functions

54 Focus and Directrix of a Parabola

55 Factoring Quadratic Expressions

56 Quadratic Equations

57 Completing the Square

58 The Quadratic Formula

59 Complex Numbers

510 Quadratic Inequalities

511 Systems of Linear and Quadratic Equations
Chapter 6 – Square Root Functions and Equations

61 Square Root Functions as Inverses

62 Attributes of Square Root Functions

63 Transformations of Square Root Functions

64 Introduction to Square Root Equations

65 Solving Square Root Equations
Chapter 7 – Exponential and Logarithmic Functions and Equations

71 Attributes of Exponential Functions

72 Transformations of Exponential Functions

73 Attributes and Transformations of

74 Exponential Models in Recursive Form

75 Attributes of Logarithmic Functions

76 Properties of Logarithms

77 Transformations of Logarithmic Functions

78 Attributes and Transformations of the Natural Logarithm Function

79 Exponential and Logarithmic Equations

710 Natural Logarithms
Chapter 8 – Polynomials

81 Attributes of Polynomial Functions

82 Adding, Subtracting, and Multiplying Polynomials

83 Polynomials, Linear Factors, and Zeros

84 Solving Polynomial Equations

85 Dividing Polynomials

86 Theorems About Roots of Polynomial Equations

87 The Fundamental Theorem of Algebra
Chapter 9 – Radical Expressions

91 Roots and Radical Expressions

92 Multiplying and Dividing Radical Expressions

93 Binomial Radical Expressions

94 Rational Expressions
Chapter 10 – Cubic and Cube Root Functions and Equations

101 Attributes and Transformations of Cubic Functions

102 Attributes of Cube Root Functions

103 Transformations of Cube Root Functions

104 Cube Root Equations
Chapter 11 – Rational Functions and Equations

111 Inverse Variation

112 Transformations of Reciprocal Functions

113 Asymptotes of Rational Functions

114 Rational Expressions

115 Adding and Subtracting Rational Expressions

116 Solving Rational Equations