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Algebra II/Trig  (5320) Course Outline

 Text:  Algebra 2 McDougal Littell Series

(Larson, Boswell, Kanold, Stiff)

FIRST SEMESTER

Unit 1: Equations and Inequalities

1.      Real Numbers and Operations

2.      Algebraic expressions and models

3.      Solving linear equations

4.      Problem solving using algebraic models

5.      Solving linear inequalities

6.      Solving absolute value equations and inequalities

 Unit 2: Linear Equations and Functions

1.      Functions and relations including domain and range

2.      Graphing linear equations using different methods

3.      Slope and rate of change

4.      Writing equations of lines

5.      Correlations and best – fitting lines

6.      Linear inequalities in two variables

Unit 3: Systems of Linear Equations and Inequalities

1.      Solving linear systems by graphing and algebraically

2.      Graphing and solving systems of linear inequalities

3.      Solving real applications using systems of equations

 Unit 4: Introduction of Quadratic Functions

1.      Introduction of quadratic functions

2.   Graphing quadratic functions

3.   Solving quadratic functions by factoring and taking square roots

4.   Introduction of imaginary and complex numbers 

SECOND SEMESTER

Unit 5: Quadratic Functions

1.      Solving quadratic functions by completing the square and the quadratic formula

2.      Using the discriminant to describe the number and nature of the roots of a quadratic function.

3.      Modeling quadratic functions.

4.      Real applications using quadratic functions.

Unit 6: Polynomial Functions

1.      Using properties of exponents

2.      Evaluating and graphing polynomial functions

3.      Adding, subtracting, and multiplying polynomials

4.      Factoring and solving polynomial functions

5.      The remainder and factor theorems

6.      Finding rational zeros

7.      Using the fundamental theorem of algebra

Unit 7: Powers, Roots and Radicals

1.      Nth roots and rational exponents

2.       Properties of rational exponents

3.      Inverse functions

4.      Solving radical equations

 Unit 8:  Exponential and Logarithmic Functions

1.      Find exponential growth

2.      Find exponential decay

3.      Logarithmic Functions

4.      Solve Exponential and Logarithmic Functions

Unit 9:  Rational Equations and Functions

1.       Multiply and divide rational expressions

2.        Addition, subtraction and complex fractions

3.        Solve rational equations

Unit 10:  Trigonometric Ratios and Functions

1.      Right Triangle Trigonometry

2.      General angles and radian measure