Algebra II Scope & Sequence

**Unit 1 Exponents**

1.1 Introduction to Exponents

1.2 The Product Property

1.3 The Quotient Property

1.4 Zero and Negative Exponents

1.5 Fractional Exponents

1.6 Power of a Power Property

1.7 Power of a Product Property

1.8 Power of a Fraction

1.9 Simplifying Algebraic Expressions with Exponents

**Unit 2 Systems of Linear Equations & Inequalities**

2.1 Intro to Systems of Linear Equations & Inequalities

2.2 Solving a System of Equations by Substitution

2.3 Solving a System of Equations by Elimination

2.4 Graphing Systems of Linear Equations

2.5 Graphing Systems of Inequalities

2.6 Linear Programming

**Unit 3 Complex Numbers**

3.1 Introduction to Imaginary & Complex Numbers

3.2 Adding & Subtracting Complex Numbers

3.3 Multiplying Complex Numbers

3.4 Complex Conjugates

3.5 Dividing Complex Numbers

3.6 Absolute Value & Complex Numbers

**Unit 4 Functions**

4.1 Introduction to Functions

4.2 Function Notation & Evaluation

4.3 Domain of a Function & Interval Notation

4.4 Range of a Function & Interval Notation

4.5 Adding & Subtracting Functions

4.6 Multiplying & Dividing Functions

4.7 Composition of Functions

4.8 Inverse Functions

4.9 Composition and Inverse

4.10 Piecewise Functions

4.11 Step Functions

**Unit 5 Polynomial Functions **

5.1 Introduction to Polynomials

5.2 Adding and Subtracting Polynomials

5.3Multiplying Polynomials

5.4 Dividing Polynomials Using Long Division

5.5 Dividing Polynomials Using Synthetic Division

5.6 Remainder Theorem

5.7 Factor Theorem

5.8 Factor Using GCF and Grouping

5.9 Factoring Using Difference of Squares

5.10 Factoring Perfect Square Trinomials

5.11 Factoring Trinomials with a Positive or Negative Constant

5.12 Factoring using the Sum or Difference of Cubes

5.13 Solving Equations Using Factoring & Zero Product Property

**Unit 6 Quadratic Functions**

6.1 Introduction to Quadratic Functions

6.2Graphing Quadratic Functions in Vertex Form

6.3Solving Quadratic Equations with Square Roots

6.4Solving Quadratics by Completing the Square

6.5 The Quadratic Formula

6.6 Converting Quadratic Functions to Vertex Form

6.7 Graphing Quadratic Inequalities

6.8 Applications of Quadratics

**Unit 7 Polynomial Functions Solving & Graphing**

7.1 Finding a Polynomial Given the Roots

7.2 Location Principle & Multiplicity of Zeros

7.3 Rational Root Theorem

7.4 The Complex Conjugate Root Theorem

7.5 Fundamental Theorem of Algebra & Descartes Rule of Signs

7.6 Graphing Polynomials

**Unit 8 Exponential & Logarithmic Functions**

8.1 Intro to Exponential & Logarithmic Properties

8.2 Exponential Growth

8.3 Exponential Decay

8.4 Logarithmic Functions

8.5 Evaluating Logarithmic Functions

8.6 Product Property of Logarithms

8.7 Quotient Property of Logarithms

8.8 Power Property of Logarithms

8.9 Exponential-Logarithmic Inverse Properties

8.10 Application of Logarithms

8.11 The Natural Exponential Function

8.12 The Natural Logarithm

8.13 Solving Logarithmic Equations

**Unit 9 Rational Functions**

9.1 Introduction to Rational Functions

9.2 Direct Variation

9.3 Inverse Variation

9.4 Joint & Combined Variation

9.5 Simplifying Rational Expressions

9.6 Adding & Subtracting Rational Expressions

9.7 Multiplying Rational Expressions

9.8 Dividing Rational Expressions

9.9 Complex Fractions

9.10 Solving Rational Equations

9.11 Graph of a Rational Function

9.12 Graph of a Rational Function Continued

**Unit 10 Radical Functions**

10.1 Introduction to Radical Functions

10.2 Simplifying Radicals - Numerical

10.3 Simplifying Radicals - Algebraic

10.4 Multiplying Radicals

10.5 Dividing Radicals

10.6 Adding & Subtracting Radicals

10.7 Solving Radical Equations

10.8 Graphing Radical Functions

**Unit 11 Conic Sections**

11.1 Introduction to Conic Sections

11.2 Midpoint and distance

11.2 Parabolas Part I

11.3 Parabolas Part II

11.4 Circles Part I

11.5 Circles Part II

11.6 Ellipses Part I

11.7 Ellipses Part II

11.8 Hyperbolas Part I

11.9 Hyperbolas Part II

11.10 Solving Non-Linear Systems

**Unit 12 Trigonometry**

12.1Angles in Standard Position

12.2 Radian Measure

12.3 Special Triangles & Exact Values

12.4 Reciprocal Ratios

12.5 Sine Law

12.6 Cosine Law

12.7 Trig Identities

12.8 Graphing Sine and Cosine Functions

12.9 Graphing Tangent and Cotangent Functions

12.10 Graphing Secant and Cosecant Functions

12.11 Applications of Trig Functions

12.12 Modelling Trig Functions

**Unit 13 Series & Patterns**

13.1 Introduction to Series and Patterns

13.2 Arithmetic Series

13.3 Finite Geometric Series

13.4 Infinite Geometric Series

13.5 Pascal’s Triangle

13.6 Binomial Theorem

**Unit 14 Statistics & Probability**

14.1 Introduction to Statistics

14.2 Independent & Dependent Events

14.3 Measures of Central Tendency

14.4 Mean Deviation

14.5 Standard Deviation and Variance

14.6 Margin of Error

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